fJwYnteft in \o\Z\+ (^XfcJb.cJLsOV) Cwpclopaetna 3Srttanntca OR, A DICTIONARY OF ARTS, SCIENCES, AND MISCELLANEOUS LITERATURE; ENLARGED AND IMPROVED. THE FIFTH EDITION. 3IUujitrate!j toRb nearlg sir bunbteb (JBngratitnga. / VOL. XII. INDOCTI discant; ament meminisse periti. EDINBURGH: Printed at the Encyclopedia Press, FOR ARCHIBALD CONSTABLE AND COMPANY, AND THOMSON BONAR, EDINBURGH GALE, CURTIS, AND FENNER, LONDON ; AND THOMAS WILSON AND SONS, YORK. 1815. a ,ao (RAViOlTDK. ■ . ' ■ } • ' . • ;• YU; 'H <;/iA i3$' <•«(! lift «hr.?n Mh/l» 1 . I . s . ! i 221 >11-M'? M T ■ ' r 14 A. i . - ' 0 ia r:v>- . - ' • 'A . A r,'’ v i , /.Koa se a moiit i Aa j t Ah : . ao /.'<>• A . • : ' ' ' ■ - ' ' ' • . a . : ; ■ i and feemed to favour the Liegeois, many of whofe claims were juft, though they attempted to enforce them by violence and the moft illegal fteps. Intoxicated w ith this pro- teftion, the people of Liege treated the remonftrances of their biihop, the decrees of the imperial chamber, and the refolutions of the directory of the two circles, with the utmoft contempt ; and proceeded fo far as even to dethrone their prince, by appointing a regent in the perfon of a French prelate.. The electoral col¬ lege having deliberated on the belt means of putting an end to thefe difturbances, its propofitions, though modified by M. Dohm the Pruflian plenipotentiary, made the infurgents break out into open fedition. De¬ luded by their leaders, they gave themfelve.s up every day to new exceffes j the effects of the citizens expofed to pillage, and their perfons to infult- ihe king of Pruffia, who was defirous to bring matters to an accommodation, and not to inftigate the Liegeois to become independent, finding that the efforts of his minifter were not attended with the defired fuccefs, feemed unwilling to-interfere any farther in an affair which might have led him into a quarrel with the em¬ pire. The executive troops, at the fame time, re¬ mained almoft in a ftate of inaaivity •, and feemed ra¬ ther to guard the frontiers of this petty ftate, than to make any attempt to reduce it to obedience. Neither this condua, however, nor the exhortations of Pruffia, added to the moral certainty of their being foon. com¬ pelled to lay dow n their arms, made any change in the condua of the malecontents. They declared openly, in the face of all Europe, that they would either con¬ quer or die ; and they perfifted in this refolution, while commerce, manufaaures, and the public revenues, Avere going daily to decay. Having at length openly attacked the executive forces without the territories of their city, the emperor could no longer remain an indifferent fpeaator. It was now full time to put a period to that madnefs to which the people had abandoned themfelves 5 and to accomplifh this in an effe&ual manner, the imperial 1 J LIE chamber at Wetzlar requefted the emperor, as a mem- He ber of the ancient circle of Burgundy, to execute its ^ieii orders refpedling this object. In confequence of this meafure, Baron Alvinzi, who commanded a body ot Auftrians cantoned in Limburg and the confines of Brabant, notified, by order ot Marfhal Bender, to the ftates and municipality of Liege, that the em¬ peror intended to fend troops into their city and ter¬ ritories, for the purpofe of reftoring tranquillity and g@od order. The ftates had already been informed of this refolution by their agent at Wetzlar. They there¬ fore wrote to Marlhal Bender, to affure him of the refpeftful confidence which they placed in the juftice and magnanimity of the emperor, and to requert that the Auitrian troops might enter alone, without thofe of the ele£tors j and that they might be confined to occu¬ py the gates and the fuburbs only. To this letter, which was carried to Bruffels by a deputation of the ftates, Marlhal Be?nder returned a very fatisfaftory an- fw'er, relating to the difpofition of the eleftoral troops : but Baron Alvinzi, in a note which he Avrote to the ftates, infilled among other articles, that all the citi¬ zens Ihould throw down their arms 5 that proper accom¬ modations Paould be prepared for the officers and men ; that the Avarlike ftores, collefted for making refillance, Ihould be removed ; and that cockades, and every other diftinftive mark of the like kind, Ihould be laid afide before the arrival of the imperial troops. However humiliating thefe preliminaries might be, efpecialljr that of a general difarming, the ftates and municipali¬ ties acquiefced without the leal! relerve $ and their fub- miffion, as fudden as complete, was communicated to the people,. Avith an exhortation to follow their ex¬ ample. Notwithftanding this pacific appearance, two days'1 before the entrance of the imperial troops, the muni¬ cipal council of Liege, flattering themfelves, perhaps, with the hopes of affiftance from Pruffia, affured the inhabitants that they Avould remain unlhaken in their poll, and that they Lad fworn never to defert the eaufe in which they were engaged. This, howrever, did not prevent the Aultriari troops, to the number of 6coc, from penetrating, without oppofition, into the heart of the city ; Avhere they occupied every poll ; made the citizens lay afide their arms, uniforms, and cock¬ ades 5 and in a fingle hour, dethroned fo many fove- reigns of a year. The greater part of the municipal officers, who two days before had folemnly promifed fuch great things, betook themfeives to flight, and re-, tired either to France or Wefel 5 while the ancient magiftracy, which had been expelled in the month oE Auguft 1789, Avas provifionally reinftated by the di¬ rectorial commiffioners.—'Ihe decrees of the imperial, chamber at Wetzlar have fince been executed in their utmoft extent. The ancient magiftracy and the privy- council of the prince-bilhop have been reltored j and the prince himfelf having returned, peace and good order have been re-eltablilhed. The French took this city in 179-2, and effeCted another revolution *, but be¬ ing driven from it in 1793, the citizens were once more obliged to fubmit. LIENTERY, a flux of the belly, in Avhich the aliments are difcharged as they are fwallowed, or very little altered either in colour or fubftance. See Medi¬ cine Index. LIEVENS, L 1 E [ LIEVENS, John or Jan, a celebrated paiater, was born at Leyden in 1607. He difcovered an early in¬ clination for the arts, and was the difciple firft of Jon's van Schooten, and afterwards of Peter Laftman. He excelled principally in painting portraits 5 but he alfo executed feveral hiftorical fubjedts with great fuccefs. He came over to England, where he refided three years, and painted the portraits of Charles I. the queen, the prince of Wales, and feveral of the nobility ; after ■which he returned to Antwerp, where he met with full employment for his pencil. We have feveral etchings by this mailer, which are performed in a flight but maiterly manner. The chiaro fcuro is very fkilfully managed in them, fo as to produce a moll powerful efFeft. His ftyle of etching bears fome re- femblance to that of Rembrandt j but it is coarfer in general, and lefs finiihed. LIEOU-KIEOU, the name of certain iflands of Aha, fubjeft to China j but hitherto little known to geographers, who have been fatisfied with marking their exiflence and latitude in their charts. They, however, form a powerful and extenfive empire, the inhabitants of which are civilized, and ought not to be confounded with other favage nations difperfed throughout the iflands of Alia. Father Gabil, a Je- fuit, has furniflied us with fome interefting details re- fpe&ing thefe iflanders, which he extrafled from a Chinefe relation publilhed in 1721, at the end of a voyage that was undertaken on the following account. The emperor Kang-hi having refolved, in 1719, to fend an ambaflador to the king of Lieou-kieou, chofe for this purpofe one of the great doftors of the em¬ pire, named Supao Koang. This learned man depart¬ ed from China in 1719, and returned to Peking in 1720, where, in the year following, he caufed a rela¬ tion of his voyage to be publilhed in two volumes. It is in the flrtl of thefe that he gives an accurate and particular defcription of the ifles of Lieou-Kieou ; and what he relates appears to be worthy of the greater credit, becaufe, being on the fpot, he examined, as he himfelf fays, according to the orders of the emperor, whatever lie found curious or interefting, refpefling the number, fitualion, and produdlions of thefe ifles; as alio the hiftory, religion, manners, and cuftoms, of the people who inhabit them. Ibefe ifles, fttuated between Corea, Formofa, and Japan, are in number 36. The principal and largeft is called Lieou-Kieou ; the reft have each a particular denomination. The largeft ifland extends from north to fouth about 440 lys, and 120 or 130 from eaft to weft ; but ©n the fouth fide, the extent from eaft to weft is not 100 lys. The fouth-eaft part of the ifland, where the court refides, is called Cheou-li; and it is there that Kin-tching, the capital city, is fituated. The king’s palace, which is reckoned to be four leagues in circumference, is built on a neighbouring mountain. It has four gates, which correfpond to the four cardinal points $ and that which fronts the weft forms the grand entry. The view which this palace commands is moft; extenfive and delightful •, it reaches as far .as the port of Napa-kiang at the diftance of ten lys, to the city of Kin-tching, and to a great number of other cities, towns, villages, palaces, temples, monafteries, gardens, and pleafure-houfes. It ftands in longitude 146. .26. eaft, and in latitude 26. 2. north. ] !• 1 e If vve believe thefe iflanders, the origin of their em¬ pire is loft in the remoteft antiquity. They reckon up 25 fuccefliive dynafties, the duration of which forms a period of more than 18,000 years. It would be. ufelefs to employ a Angle moment in pointing out the ab- furdity of thefe pretenfionS, It is, however, certain, that the exigence of the country called Lieou-kieou wras not known in China before the year 605 of the. Chriftian era. Jt was in the courfe of that year that one of the emperors of the dynafty of Soui, having heard of thefe ifles, was defirous of knowing their fitua- tion. This prince at firft; fent fome Chinefe thither j but their expedition proved fruitlefs, as the, want of in¬ terpreters prevented them from acquiring that know¬ ledge which was the object of their voyage. They on¬ ly brought fome of the iflanders with them to Sigan- fou, the capital of the province of Chen-fi, which was the ufual refidence of the emperors of the dynafty of Soui. It fortunately happened, that an ambalTador of the king of Japan was then at court. This ambaflador and his attendants immediately knew the flrangers to be natives of Lieou-kieou : but they fpoke of thefe ifles as of a miferable and wretched country, the in¬ habitants of which had never been civilized. The emperor of China afterwards learned, that the principal ifland lay to the eaft of a city called at prefent Fou- tcheou-fou, which is the capital of the province of Fokien 5 and that, in a paflage of five days, one might reach the large ifland where the king kept his court. ’ On this information, the emperor Yang-ti fent Ikil- ful men, accompanied by interpreters, to fummon the prince to do homage to the emperor of China, and to pay him tribute. This propofal was very ill received. The king of Lieou-kieou fent back the Chinefe, tell¬ ing them fternly, that he acknowledged no prince to be his fuperior. This anfwer irritated the emperor, who, to obtain revenge, caufed a fleet to be immediate¬ ly equipped in Fokien, in which lie embarked 10,000 men. This fleet fet fail, and arrived in fafety at the port of Napa-kiang. The army, in fpite of every ef¬ fort made by the natives, landed on the ifland j and the king, who had put himfelf at the head of his troops to oppofe the enemy, having fallen in battle, the Chinefe pillaged, facked, and burnt the royal city, made more than 5000 (laves, and returned to China. The emperors of the dynafty of Tang, thofe of the fliort dynafties that followed, and thofe of the dynafty- of Song, although they were fully informed of every thing refpe&ing the Lieou-kieou ifles, made no attempts to render them tributary. In 1291, Chi-tfou, an empe¬ ror of the dynafty of Yven, was defirous of reviving the pretenfions of his predeceflbrs. He fitted out a fleet to fubdue thefe iflands ; but fchemes of conquell had become difagreeable to the Chinefe, fince the dii- after that befel their army in an expedition againft Japan. The fleet of Chi-tfou w ent no farther than the ifles of Pong-hou, and the weftern coaft of Formofa, from whence, under divers pretences, they returned to the ports of Fokien. It was only in 1372, under the reign of Hong-vou, founder of the dynafty of Ming, that thefe iflands fub- mitted voluntarily to the Chinefe government. Hong- vou had fent one of the grandees of his court to Tfay- tou, who was then reigning at Lieou-kieou, to inform A 2 * him L I E L’eeu- him of his acce;Tion to the throne. The Chinefe noble- Kieou. man ]iac} received particular inllruftions refpedling this * commiflion, and he acquitted himlelf of it with all the prudence and addrefs of an able rninifter. In a private audience which he had with Ifay-tou, he exhoited this prince to declare himfelf a tributary of the empire, and laid before him the advantages he would derive from this ftep. His reafoning, 1'upported by the power of his natural eloquence, made fo much impreffion on the mind of Tfay-tou, that he embraced the propofal made him, and fent immediately to the emperor to de¬ mand the inveftiture of his ftates. Hong-vou received his envoys in a magnificent man¬ ner, and loaded them with prefents. He folemnly de¬ clared Tfay-tou a vaffal of the empire 5 and, after hav¬ ing received his firft tribute (which confifted in valuable horfes, aromatic wood, fulphur, copper, tin, &c. he fent to this prince a golden feal, and confirmed the choice he had made of one of his fons for fucceffor. The emperor afterwards fent 36 families, almoft all from the province of Fokien, to Lieou-kieou. Tfay- tou received them, affigned them lands near the port of Napa-kiang, and appointed certain revenues for their ufe, at the fame time that Hong-vou made them con- liderable remittances. Thefe families firft introduced into Lieou-kieou the learned language of the Chinefe, the ufe of their chara&ers, and the ceremonies praftifed in China in honour of Confucius. On the other hand, the fons of fevej-al of the grandees of the court of Tfay- tou were fent to Nan-king, to ftudy Chinefe in the im¬ perial college, where they were treated with diftinftion, and maintained at the emperor’s expence. The ifles of Lieou-kieou had neither iron nor porce¬ lain. Hong-vou fupplied this want *, he caufed a great number of utenfils of iron and inftruments to be made, which he fent thither, together with a quantity of por¬ celain veffels. Commerce, navigation, and the arts foon began to flouriflu Thefe iflanders learned to call bells for their temples, to manufacture paper and the fineft fluffs, and to make porcelain, with which they had been fupplied before from Japan. The celebrated revolution which placed the Tartars on the imperial throne of China, produced no change in the conduCt of the kings of Lieou-kieou. Chang- tche, who was then reigning, fent ambaffadors to ac¬ knowledge Chun-tchi, and received a feal from him, on which were engraven fome Tartar characters. It was then fettled, that the king of Lieou-kieou ftiould pay his tribute only every two years, and that the number of perfons in the train of his envoys fhould not exceed X50. The emperor Kang-hi feemed to pay more atten¬ tion to thefe ifles than any of his predeceffors. He caufed a fuperb palace to be ereCted in honour of Con¬ fucius, and a college where he maintained matters to teach the fciences and the Chinefe charafters. He alfo inftituted examinations for the different degrees of the literati. He ordained, that the king of Lieou-kieou fliould never fend in tribute rofe-wood, cloves, or any other production which was not really of the growth of the country $ but that he fhould fend a fixed quantity of fulphur, copper, tin, (hells, and mother of pearl, which Is remarkably pretty in thefe iflands* He permitted, that, befides the ufual tribute, he might prefent him iorfe-furniture, piftol-cafes, and other things of the L I E fame kind, which thefe iflanders are faid to manufacture Lieou* with great tafte and neatnefs. Kieou. It is more than 900 years fince the bonzes of China » “L introduced at Lieou-kieou the worfhip of Fo, and the principal books belonging to their fed. This worftiip is at prefent the eftablilhed religion both of the gran¬ dees and of the people. There is ftill to be feen in the royal city a magnificent temple, ereCted in honour of another idol borrowed from the Chinefe,named Tcin-feyt which fignifies celejlial queen or lady. Thefe iflanders do not make promifes or fwear be¬ fore their idols. When they have occafion to do this, they burn purfumes, prefent fruits, and ftand refpeCl- fully before fome ftone, which they call to witnels the folemnity of their engagements. Numbers of ftones are to be feen in the courts of their temples, in moll public places, and upon their mountains, which are en¬ tirely appropriated to this purpofe. They have alfo among them women confecrated for the worlhip of fpirits, who are fuppofed to have great influence over thefe beings. They vifit the fick, diftribute medicines, and recite prayers for their recovery. They refpeCt the dead as much as the Chinefe, and they are no lefs ceremonious in wearing mourning 5 but their funerals are neither fo pompous, nor attended w ith fo much expence. Their coffins, which are of an hexagonal or o&agonal figure, are three or four feet high. They burn the flefh of the bodies of their dead, and preferve only the bones. They never offer pro- vifions to them j they are contented with placing lamps round them, and burning perfumes. Different families are diftinguifhed in Lieou-kieou by furnames, as in China •, but a man and a woman of the fame furname cannot be united in marriage. The king is not permitted to marry but in the three grand fami¬ lies, which always enjoy the higheft offices. There is a fourth, of equal diftin£tion to the three former ; but neither the king nor the princes contraft any alliances with this family; for it is doubtful whether it be not fprung from the fame ftem as the royal line. A plurality of wives is allow ed in thefe ifles. Young men and young women enjoy the liberty of feeing one another, and of converfing together *, and their union is always in confequence of their own choice. The wo¬ men are very referved j they never ufe paint, and wear no pendants in their ears \ they colleft their hair on the top of their heads in the form of a curl, and fix it in that manner by means of long pins made of gold or filver. Befides the vaft domains which the king poffeffes, he receives the produce of all the fulphur, copper, and tin mines, and of the fait pits, together with what arifes from taxes. From thefe revenues he pays the falaries of the mandarins and officers of his court. Thefe fala¬ ries are eftimated at a certain number of facks of rice j but under this name is comprehended whatever the king gives in grain, rice, filk, cloth, &c. The whole is valued according to the price of the facks of rice. There are here, as in China, nine orders of manda¬ rins, who are diftinguiflied by the colour of their caps, or by their girdles and cufhions. The greater part of the titles of thefe mandarins are hereditary in their families j but there are fome w hich are only beftowed upon merit. In the royal city there are tribunals efta- r blifhed [ 4 1 L 1 E t Lteou* bliflied for managing the revenue and affairs of the prln- Kieou cipal ifland, and of all the others which are dependent N on it. The latter have agents, who refide at Court. ieu enan . rj>jjere are ajp0 partjcu]Rr tribunals for civil and criminal matters j for whatever concerns the families of the grandees and princes j for the affairs of religion j for infpe&ing the public granaries, king’s revenues, duties j for commerce, manufactures, civil ceremonies, and for navigation, public edifices, literature, and war. The veffels that are built in this country are greatly valued by the people of China and Japan. In thefe the natives go not only from one ifland to another, but alfo to China, Tong-king, Cochin-china, Corea, Nanga- za-ki, Satfuma, the neighbouring ifles, and to Formofa, where they difpofe of their different commodities. Be- fides thofe articles of commerce which their manufac¬ tures of filk, cotton, paper, arms, copper utenfils, &c. furnilh them, they alfo export mother-of-pearl, tortoife and other {hells, coral and whetftones, which are in great requeft both in China and Japan. LIEUT AUD, Dr Joseph, counfellor of date and firft phyfician at the court of France, was born at Aix in Provence, and refided principally there till he took the degree of dodtor of medicine. After this he profe- cuted his ftudies for fome years at Montpelier. He returned to Aix, where he foon acquired extenfive practice, and became eminent for literary abilities. He refided there till the year 1750, when he was invited to aft as phyfician to the royal infirmary at Ver- failles. There he praftifed with fuch reputation and fuccefs, that he foon arrived at the head of his pro- feflion j and in the year 1774, upon the death of M. Senac, he was appointed archiater. His extenfive en¬ gagements in praftice did not prevent him from culti¬ vating the fcience of medicine in all its branches, and from freely communicating to others the refult of his own (tudies. He publiihed many valuable works ; n- mongft which the following may be accounted the moll remarkable. 1. E/ementa Phijsiologice. 2. Precis de la Medicine. 3. Pratique Precis de la Matiere Medic ale. 4. Effais Anatomiques. 3. Synopjis Univerfa Praxeos Medicines. 6. Hijloria Anatomico- Medico. He died at Verfailles in 1780, aged 78 years. LIEUTENANT, an officer who fupplies the place and difcharges the office of a fuperior in his abfence. Of thefe, fome are civil, as the lords-lieutenants of kingdoms, and the lords-lieutenants of counties ; and others are military,as the lieutenant-general, lieutenant- colonel, &c. Lcrd-LlEUTENANT of Ireland, is properly a viceroy $ and has all the Hate and grandeur of a king of Eng¬ land, except being ferved upon the knee. He has the power of making war and peace, of bellowing all the offices under the government, of dubbing knights, and of pardoning all crimes except high treafon ; he alfo calls and prorogues the parliament, but no bill can pafs without the royal affent. He is affifted in his govern¬ ment by a privy council $ and, on his leaving the king¬ dom, he appoints the lords of the regency, who govern in his abfence. Lords-LlEUTENANTS of Counties, are officers, who upon any invafion or rebellion, have power to raife the militia, and to give commiffions to colonels and other officers, to arm and form them into regiments, troops, and companies. Under the lords-lieutenants, 3 ] LIE afe deputy-lieutenants, who have the fame power j Lieutenant, thefe are chofen by the lords-lieutenants, out of the V ' ' principal gentlemen of each county, and prefented to the king for his approbation. LlEUTENANT-Colonel. See CoLONEL. Lieutenant- General. See General. Lieutenant, in the land fervice, is the fecond commiffioned officer in every company of both foot and horfe, and next to the captain, and who takes the command upon the death or abfenoe of the captain. LIEUTENANT of Artilleryi Each company of ar¬ tillery hath four j 1 firlt and 3 fecond lieutenants. The firft lieutenant hath the fame detail of duty with the captain, becaufe in his abfence he commands the company: he is to fee that the foldiers are clean and neat j that their clothes, arms, and accoutrements, are in good and ferviceable order j and to watch over every¬ thing elfe which may contribute to their health. He muft give attention to their being taught the exercife, fee them punftually paid, their meffes regularly kept, and to vifit them in the hofpitals when fick. He muft affift at all parades, &c. He ought to underftand the doftrine of projeftiles and the fcience of artillery, with the various effefts of gunpowder, however managed or direfted ; to enable him to conflruft and difpofe his batteries to the beft advantage ; to plant his can¬ non, mortars, and howitzers, fo as to produce the greateft annoyance to an enemy. He is to .be well {killed in the attack and defence of fortified places j and to be converfant in arithmetic, mathematics, me¬ chanics, &c. Second LIEUTENANT in the Artillery, is the fame as an enfign in an infantry regiment, being the youngeft commiffioned officer in the company, and muft aflift the firft lieutenant in the detail of the company’s duty. His other qualifications Ihould be equal with thofe of the firft lieutenant. LIEUTENANT of a Ship of War, the officer next in rank and power to the captain, in whofe abfence he is accordingly charged with the command of the {hip, as alfo the execution of whatever orders he may have re* ceived from the commander relating to the king’s fer¬ vice. The lieutenant who commands the watch at fea, keeps a lift of all the officers and men thereto belong¬ ing, in order to mufter them when he judges it expe¬ dient, and report to the captain the names of thofe who are abfent from their duty. During the night watch, he occafionally vifits the lower decks, or fends thither a careful officer, to fee that the proper centinels are at their duty, and that there is no diforder amongft the men $ no tobacco fmoked betw-een decks, nor any fire or candles burning there, except the lights which are in lanthorns, under the care of a proper watch, on particular occafions. He is expefted to be always up¬ on deck, in his watch, as well to give the neceffary or¬ ders with regard to trimming the fails and fuperintend- ing the navigation, as to prevent any noife or con- fuffon j but he is never to change the fhip’s courfe with¬ out the captain’s direftions, unlefs to avoid an im¬ mediate danger. The lieutenant, in time of battle, is particularly to fee that all the men are prefent at their quarters- where they have been previoufty ftationed according to the regulations made by the captain,. He orders and; L I F [ 6 ] L I F Lieutenant,and exhorts them everywhere to perform their duty, in proper exercifes and frications, and fome iin&ions ^ Life, Life. and aCqUaints the captain at all other times of the mif- and baths : By the preparation of the food itfelf, fo Life-boat, behaviour of any perfon in the. (hip, and of whatever as it may more eafily infmuate itfelf, and in fame mea- v elfe concerns the fervice or difcipline. fare anticipate the digeftion; as in various ways of The youngeft lieutenant in the (hip, who is alfo drefling meats, mixing drinks, fermenting breads, and ftyled lieutenant at arms, befides his common duty, is reducing the virtues of thefe three into one : By pro- particularly ordered, by his inftru&ions, to train the moling the aft of aflimilation itfelf, as in feafonable feamen to the ufe of fmall arms, and frequently to ex- deep, fome external application, &c. ercife and difcipline them therein. Accordingly his The renovation of what begins to grow old, is per- office, in time of battle, is chiefly to direft and attend formed two ways : By the inteneration of the habit of them,: and at all other times to'have a due regard to the body ; as in the ufe of emollients, emplafters, unc- the prefervation of the fmall arms, that they be not loft tions, &c. of fuch a nature, as do not extraft but im- or embezzled, and that they are kept clean and in good prefs : Or by purging off the old juices, and fubftitut- condition for fervice. jng frefh ones j as in feafonable evacuations, attenuat- LlEUTF,NANT-Reformed, he whofe company or troop ing diets, &c. is broke or dilbanded, but continued in whole or half The fame author adds thefe three axioms : That the pay, and (till preferves his right of feniority and rank prolongation of lifers to be expefted, rather from fome in the army. ftated diets, than either from any ordinary regimen or LIFE, is peculiarly ufed to denote the animated any extraordinary medicines ; more from operating on ftate of living creatures, or the time that the union of the fpirits, and mollifying the parts, than from the the foul and body lafts. , manner of feeding ; and this mollifying of the parts The Prolongation ofllFE is made by Lord Bacon one without is to be performed by fubftantials, impriments, of the three branches of medicine -, the other two re- and occludents. See Longevity. lating to the prefervation of health, and the cure of LlFF-Boat, a moft important invention, confiftingin difeafes. See Medicine. an improvement of the ordinary conftruftion of a boat, The theory of prolonging life he numbers among the by which it cannot be funk in the rougheft fea * fo that defiderata. Some means or indications that feem to it is peculiarly fitted for bringing off mariners from lead to jt, he lays down as follow : wrecks during a ftorm, and thus faving many valuable Things are preferved in two manners; either in their lives. Thelife-boat was firft conceived at South Shields, identity, or by reparation. In their identity $ as a fly or in the county of Durham. A committee of the inha- ant in amber ; a flower, or fruit, or wood, in a con- bitants of that town, who had often been the fad wit- fervatory of fnow ; a dead carcafe in balfams. By neffes of many melancholy (hipwrecks in which by the reparation; as a flame, or a mechanical engine, &c. To ordinary means no relief could be given, in a public ad- attain to the prolongation of life, both thefe methods vertifement requefted information on this fubjeft, with muft be ufed. And hence, according to him, arile models of boats which w-ould be moft proper for the three intentions for the prolongation of life ; Retarda- purpofe of faving perfons from (hipwreck. The com- iion of confumption, proper reparation, and renovation mittee it would appear, employed Mr Greathead, a of what begins to grow old. boat-builder in South Shields, who had with others Consumption is occafioned by two kinds of deprcda- prefented the model of a boat for this purpofe, to build tion ; a depredation of the innate fpirit, and a depre- the firft boat, which upon trial was found fully to an- dation of the ambient air. Thefe may be each pre- fwer the purpofe. I wo claimants have fince appeared .vented two ways; either by rendering thofe agents lefs for the honour of the invention, which according to predatory, or by rendering the paflive parts (viz. the Mr Earles, the chairman of the committee, in his letter juices of the body), lefs liable to be preyed on. The to Mr Hails the fupporter of one claim, belongs to two fpirit will be rendered lefs predatory, if either its fub- of the members themfelves, namely Mr Earles himfelf ftance be condenfed, as by the ufe of opiates, grief, and Mr Rockwood. The claimants above alluded to See.; or its quantity diminiflied, as in fpare and mo- are Mr Greathead, and a Mr Wouldhave a painter in naftic diets ; or its motion calmed, as in idlenefs and South Shields, and a very mgenious man, who alfo pre¬ tranquillity. The ambient air becomes lefs predatory, fented a model to the committee. The claim of the latter if it be either lefs heated by the rays of the fun, as in is keenly fupported by Mr Hails, in a pamphlet publifhed cold climates, in caves, mountains, and anchorets cells; in i 806, two years after Mr Greathead’s pamphlet Con¬ or be kept off from the body, as by a denfe (kin, the taining the hiftory and progrefs of the invention, and of feathers of birds, and the ufe'of oils and unguents with- the boats which he had built for the purpofe, his applica¬ nt aromatics. The juices of the body are rendered tion to parliament, and the premium of 1200I. which he lefs liable to be preyed on, either by making them received for the invention, &c. and four years after this harder or more moift and oily ; harder, as by a coarfe application to parliament. It is true that in 18^2,, (harp diet, living in the cold, robuft exercifes,' and fome Mr Wouldhave and his friends afferted his claim in the mineral baths : moifter, as by the ufe of fweet foods, Monthly Magazine and in fome provincial newspapers; &c. abftaining from falls and acids; and especially by but ftill this was one year after Mr Greathead’s appli- fuch a mixture of drink as confifts wholly of fine fub- cation for reward was made to parliament. But, with- tile particles, without any acrimony or acidity. out being at all underftood to decide to whom, the Reparation is performed by means of aliment; and merit of the invention is due, we (hall leave it to alimentation is promoted four ways: By the concoftion our readers*to examine the evidence for themfelves, and of thevifeera, fo as to extrude the aliment: By exciting (hall now proceed -to give an account of the conllruc- ihe exterior parts to the attraftion of the aliment; as tion of the life-boat, of which 31 have been built by 1 TV!- L I F [ Life-Scat. Mr Greatlierid, and fent to different parts of Britain, and the north of Europe. The following conftruction is according to Mr Greathead’s plan : “ The length thirty feet j the breadth ten feet; tlie depth, from the top of the gunwale to the lower part of the keel in midihips, three feet four inches; from the gunwale to the platform (within) two feet four inches ; from the top of the ftems (both ends being limilar) to the bottom of the keel, five feet nine inches. The keel is a plank of three inches thick, of a proportionate breadth in midihip?, narrowing gradually toward the ends, to the breadth of the ftems at the bottom, and forming a great convexity downward 5 the flems are fegments of a circle with confiderable rakes ; the bot¬ tom feftion, to the floor heads, is a curve fore and aft with the fweep of the keel) the floor timber has a fmall rife curving from the keel to the floor heads j a bilge plank is wrought in on each fide next the floor heads, with a double rabbit or groove of a fimilar thicknefs with the keel, and on the outfide of this are fixed two bilge-trees correfponding nearly with the level of the keel ; the ends of the bottom fedlion form that fine kind of entrance obfervable in the lower part of the bow of the fiihing boat called a cob/e, much ufed in the north ; from this part to the top of the ftem, it is more ' elliptical, forming a confiderable projection : the fides, from the floor heads to the top of the gunwale, flaunch off on each fide, in proportion to about half the breadth of the floor j the breadth is continued far forward to¬ ward the ends, leaving a fufficient length of ftraight fide at the top ; the fheer is regular along the ftraight fide, and more elevated toward the ends j the gunwale fixed on the outfide is three inches thick ; the fides, from the under part of the gunwale along the whole length of the regular fheer, extending twenty-one feet fix inches, are cafed with layers of cork, to the depth of 16 inches downward ; and the thicknefs of this cafing of cork being four inches, it projects at the top a little without the gunwale ; the cork on the outfide is fecured with thin plates or flips of copper, and the boat is faf- tened with copper nails ; the thwarts (or feats) are five in number, double banked, confequently the boat may be rowed with ten oars ; the thwarts are firmly ftan- chioned ; the fide oars are fliort (a), with iron tholes, and rope grommets, fo that the rower can pull either way. The boat is fleered with an oar at each end j and the fleering oar is one-third longer than the rowing oar; the platform placed at the bottom within the boat, is horizontal the length of the midfhips, and elevated at the ends, for the convenience of the fteerman, to give him a greater power with the oar. The internal part of the boat next the fides, from the under part of the th warts down to the platform, is cafed with cork 3 the whole quantity of which, affixed to the life-boat, is nearly feven hundred weight 3 the cork indifputably contributes much to the buoyancy of the boat when full of water, is a good defence when going alongfide a veffel, and is of principal ufe in keeping the boat in an erecl pofilion in the fea, or rather of giving her a very 7 1 L I F lively and quick difpofition to recover from any fudden Life-Boat. cant or lurch which fhe may receive from the ftroke of'"“"Y*— a heavy wave : but, exclufive of the cork, the admi¬ rable conftruflion of this boat gives it a decided pre¬ eminence. The ends being fimilar, the boat can be rowed either way, and this peculiarity of form allevi¬ ates her in rifing over the waves ; the curvature of the keel and bottom facilitates her movement in turning, and contributes to the eafe of the fteerage, as a fingle ftroke of the fleering oar has an immediate effe It may be prefumed by fame, that in cafes of high wind, agitated fea, and broken waves, a boat of fuch a bulk could not prevail againft them by the force of the oars 3 but the life-boat, from her peculiar form, may be rowed a-head, when the attempt in other boats would fail (b). Boats of the common form, adapted for fpeed, are of courfe put in motion with a fmall power 3 but for want of buoyancy and bearing, are overrun by the waves and funk, when impelled againft them : and boats conftru&ed for burthen, meet with too much refiftance from the wind and fea, when oppo- fed to them, and cannot in fuch cafes be rowed from the (hore to a (hip in diftrefs. An idea has been enter¬ tained that the fuperior advantages of the life-boat are to be afcribed folely to the quantity of cork affixed 3 but this is a very erroneous opinion, and I truft has been amply refuted by the preceding obfervations on the conflrudion of this boat. It muft be admitted that the application of cork to common boats would add to their buoyancy and fecurity 3 and it might be a ufeful expedient, if there was a quantity of cork on board of (hips, to prepare the boats with, in cafes of (hipwreck, as it might be expeditioufly done in a temporary way, by means of clamps, or fome other contrivance. The application of cork to fome of the boats of his majefty’s (hips (the launches) might be worthy of confideration, more particularly, as an experiment might be made at a little expence, and without injury to the boats. “ The life-boat is kept in a boat-houfe, and placed upon (a) The (liort oar is more manageable, in a high fea, than the long oar, and its ftroke is more certain. (b) An extraordinary cafe might certainly happen, when a forcible combination of the wind, the wave®, and. the tide, might render it impracticable to row the life-boat from the (bore. L I F [8 Ifiie-Boat. ypon four low wheels, ready to be moved at a moment’s notice. Thefe wheels are convenient in conveying the boat along the Ihore to the fea •, but if ftie had to travel upon them, on a rough road, her frame would be exceedingly ftiaken ; befides, it has been found dif¬ ficult and troublefome to replace her upon thefe wheels, on her return from fea. “ Another plan has therefore been adopted : two wheels of I j feet diameter, with a moveable arched axis, and a pole fixed thereto, for a lever, have been conftrufted. The boat is fufpended, near her centre, between the wheels, under the axis j toward each ex¬ tremity of which is an iron pin. When the pole is ele¬ vated perpendicularly, the upper part of the axis be¬ comes depreffed, and a pair of rope flings, which go round the boat, being fixed to the iron pins, Are is raifed with the greateft facility, by means of the pole, which is then fattened down to the ftem of the boat.” Temporary LlTE-Boat,^-AX\ invention by the reverend Mr Bremner, minifter of Walls and Flota in Orkney, by which any ordinary {hips boat may be converted into a life-boqt, fo that in cafes of fliipwreck, the crew may be faved by means of their own boats. Mr Brem¬ ner ftates, in defcribing his plan to the Highland So¬ ciety of Scotland, that it had received the approbation of the Trinity houfes of London and Leith, of the Royal Humane Society of London, and of many cap¬ tains of merchantmen. An experiment was made in the port of Leith under the fuperintendance of Mr Bremner himfelf, and in prefence of a committee of the direftors of the fociety. This experiment proved fatis- fa&ory to the committee, whofe favourable report to the directors induced them to prefent Mr Bremner with a piece of plate in teftimony of their approbation of his fcheme. The following is a general defcription of the method of preparing a boat for this purpofe. “ The diraenfions of the {loop’s boat, with which the experiment was tried, were 14 feet in length, 5 feet 4 inches in width, and 2 feet 2 inches in depth. The only addition or previous preparation of the boat, was four ring bolts in the infide, and two auger bores or holes in the outfide of the keel, as points of fecurity for fixing the neceffary feizing ropes (c). The ring bolts, within fide the keel, were placed, the one for¬ ward. one-third from the ftem, the other aft, one-third from the ftern ; the other two, the one dire&ly at the ftem, the other at the ftern. The auger bores, outfide the keel, being half way betwixt the rings, viz, the one betwixt the two rings forward, the other be- x twixt the two rings aft. “ Two empty hogftreads were then placed in the fore part of the boat, parallel and clofe to each other, and laid lengthways, fore and aft. Thefe were fecured in their places by patting the feizing ropes round all, that is, over the gunwales and through the auger bore in the keel, as alfo from the ring bolt in the ftem to that next it in the keel, taking care in doing this, to pafs the rope alfo through eyes on the flings of the calks, which have been previoufly prepared. The fame procefs was obferved in the after part of the boat. And 1 L 1 F laftly, a bar of iron about three hundred weight, was Life-Boj*. fixed to the keel, on the infide. A fmall quantity of^ cork was alfo placed in the ftern, intended chiefly to raife to a proper height the calks placed above it, but without which the refult of the experiment would have been the fame. “ The quantity of cork neceflary, which will depend on the fize of the boat, is to be made up into feveral parcels, but none larger than one perlon can eafily manage. Bach parcel to be properly fecured and num¬ bered, fo as that the whole may fit and fill up the boat completely, in the fpaces betwixt the ring bolts, fore and aft, as above detcribed ; and to anfwer the end, it is material that there ftiould be cork enough to rife nearly three feet above the gunwales, fo as to form an arch from gunwale to gunwale. The cork being thus laid in the boat, it is to be properly fecured, firft by pafling a ftrong rope round all, over the gunwales, and through the auger bore, outfide the keel; as alfo by pafling feizing ropes from the ring bolt in the ftera, to that next it in the keel, taking care to make as many turns and feizings betwixt thefe ring bolts, as completely to fecure the cork from flipping out. The very fame thing to be done as to the rope round the gunwales, and through the hole outfide the keel, with feizing ropes from the ring bolts, to be made aft, or in the ftern of the boat. “ Where cork cannot be had, or may not be kept in readinefs on account of its expence, which, however, is not very great, calks will anfwer the purpofe, though it may be doubtful whether there would not be a great¬ er chance that the fury of the waves might unloofe them, unlefs particular care was taken to have them properly fixed. In the cafe of calks, two empty ones are to be placed in the fore part of the boat, parallel to one another, clofe together, and to be laid length- wife fore and aft. Two other empty calks to be placed in the fame way in the ftern, or aft part of the boat, and the whole to be feeured as firmly and compactly as poffible, by flrong ropes round the boat and calks, and alfo by feizing ropes in the fame way as deferibed in the cafe of cork j then two other empty calks, of the fame dimenfions, one fore, and another aft, to be placed over and in the middle between the two aL ready fixed, and to be firmly feeured, as above men¬ tioned. . . “ As the boat is to be thus prepared on the deck of the Chip, when danger appears, a piece of fail Ihould be thrown in below, betwixt, and about the calks, for the more effeflually fecuring them, and to prevent the feizing ropes from fo readily Hipping j it would be proper alfo to have flings on the calks, with eyes in them, through which to pafs the feizing ropes. “ Laftly* both in the cafe of cork and calks, an iron bar, of about three hundred weight, for fuch a boat as above deferibed, ftiould be fecured to the keel on the infide, in the middle or empty fpace. This middle, or empty fpace of the boat, is for the failors, and in a fliip’s boat of the common fize may hold eight people, with room to work a pair of oars. Every thing being previoufly (c) It is probable, that ring bolts fixed in the gunwales, might anfwer as well as palflng the ropes round the bottom of the boat and through the auger bores in the keek * L I G [ life-Boat previoufly ready, it is certain that the neceffary fixing H of the calks will not take up above ten or twelve mi- iga me. ^ nuteg^ an(j jj. jg obvious the cork can be fixed in a much {hotter period. It is alfo completely afeertained, that a boat fo prepared, though full of water, will not fink, but on the contrary be extremely buoyant, and will eafily go a-head : That it would be next to impoffible the boat Ihould overfet j but, in cafe of this at any time happening, Ihe would inftantly return to her proper polition on her keel. Though the experiment was tried only with calks, with but a fmall quantity of cork, as before Hated, yet it is generally believed, and Mr Bremner himfelf is of the fame opinion, that it might anfwer equally well, and perhaps better, to have the cork or calks flowed in midlhips, leaving an empty fpace in each end, by which means the management of the boat by the helm or rudder would be preferved, though the other plan feems better, in the view of ufing oars. Vegetable LIFE. See Plants. LlFE-Rent, in Scots Law. When the ufe and enjoy¬ ment of a fubjeft is given to a perfon during his life, it is faid to belong to him in life-rent. LIGAMENT, in its general fenfe, denotes any thing that ties or binds one part to another. Ligament, in Anatomy, z. ftrong compadt fubftance, ferving to join two bones together. See Anatomy, N° 7. LIGARIUS, Quintus, a Roman proconful in Africa, 49 B. C. Taking part with Pompey, he was forbid by Julius Caefar to return to Rome : to obtain his pardon, Cicero made that admired oration in his defence, which has immortalized the memory of the client with that of his celebrated advocate. LIGATURE, in Surgery, is a cord, band, or ftring •, or the binding any part of the body with a cord, band, fillet, &c. whether of leather, linen, or any other matter. Ligatures are ufed to extend or replace bones that ate broken or dillocated $ to tie the patients down in lithotomy and amputations $ to tie upon the veins in phlebotomy, on the arteries in amputations, or in large wounds; to fecure the fplints that are applied to frac¬ tures ; to tie up the proceffes of the peritonaeum with the fpermatic veffels in caftration j and, laftly, in taking off warts or other excrefcences by ligature. Ligature, is alfo ufed to fignify a kind of bandage or fillet, tied round the neck, arm, leg, or other part of the bodies of men or beafts, to divert or drive off fome difeafe, accident, &c. Ligature, is alfo ufed for a ftate of impotency, in refpeft to venery, pretended to be caufed by fome charm or witchcraft. Kaempfer tells of an uncommon kind of ligature or knotting, in ufe among the people of Macaffar, Java, Malacca, Siam, &c. By this charm or fpell, a man binds up a woman, and a woman a man, fo as to put it out of their power to have to do with any other per- Ibn ; the man being thereby rendered impotent to any other woman, and all other men impotent with refpedt to the woman. Some of their philofophers pretend, that this liga¬ ture may be effedled by the (hutting of a lock, the drawing of a knot, or the flicking of a knife in the Vol. XII. Part I. , ] L 1 G wall, at the point of time wherein the prieft is joining Ligature, a couple together j and that a ligature, thus effedled, L^ht' , may be diifolved, by the fpoufe’s urining through a ring. This piece of fuperftition is faid to obtain alfo among the Chriftians of the Eaft. The fame author tells us, that during the ceremony of marriage in Ruflia, he obferved an old fellow lurk¬ ing behind the church-door, and mumbling over a ftring of words •, and, at the fame time, cutting a long rod, which he held under his arm into pieces 5 which, it feems, is a common pra£tice at the marriages of great perfons, and done with deiign to elude and counter¬ work any other perfon that might poflibly be inducing the ligature. The fecret of inducing a ligature is delivered by the fame author, as he was taught it on the fpot by one of their adepts: but it is too abfurd and obfeene to de- ferve being tranferibed here. M. Marftial mentions a ridiculous form of ligature, which he received from a bramin of Indoflan : “ If (fays he) the little worm in the wood lukerara kara be cut into two, and the one part ftirs and the other not, if the ftirring part be bruifed, and given with half a beetle to a man, and the other half to a woman, the charm will keep each from ever having to do with any other perfon.. Phil. Tranf. N° 268. Ligature, in the Italian mufic, fignifies a tying or binding together of notes. Hence fyncopes are often called ligatures, becaufe they are made by the ligature of many notes. There is another fort of ligatures for breves, when there are many of thefe on different lines, or on different fpaces, to be fung to one fyllable. Ligatures, among printers, are types confiding of two letters or chara&ers joined together; as £1, Jl,Ji. The old editions of Greek authors are extreme¬ ly full of ligatures j the ligatures of Stephens are by much the meft beautiful.*—Some editions have be^n lately printed without any ligatures at all j and there was a defign to explode them quite out of printing. Had this fucceeded, the fineft ancient editions would in time have grown ufelefs : and the reading of old manuferipts wrould have been rendered almoft imprac¬ ticable to the learned themfelves. LIGHT, in the molt common acceptation of the word, fignifies that invifible etherial matter which makes obje6ts perceptible to our fenfe of feeing. Figurative¬ ly, it is alfo ufed for whatever conveys inftruftion to our minds, and likewife for that inftruftion itfelf. For an account of the chemical properties of light, fee Chemistry Index ; and for its phyfical properties, fee Optics. Light independent of Heat. In general, a very con- fiderable degree of heat is requifite to the emiflion of light from any body j but there are feveral excep¬ tions to this, efpecially in light proceeding from pu- trefeent fubftances and phofphorus, together with that of luminous animals, and other fimilar appearances. Light proceeding from putrefeent animal and vege¬ table fubftances, as well as from glow'-worms, is men¬ tioned by Ariftotle. Thomas Bartholin mentions four ^ iuc6 kinds of luminous infetls, two with wings, and tw o animal. without j but in hot climates travellers fay they are P* i83* found in much greater numbers, and of different fpe- B cies. L I G [ io ] L I G P-4S- Light, cies. Columna, an induftrious naturalift, obferves, that their light is not extinguiihed immediately upon the death of the animal. Light from The firit diflinfi; account that we meet with of light jmtr'.d flefir. proceeding from putrefcent animal flelh is that which Be Vijione, is given by Fabricius ab Aquapendente 5 who fays, that when three Roman youths, reliding at Padua, had bought a lamb, and had eaten part of it on Ea- fter day 1562, feveral pieces of the remainder, which they kept till the day following, flione like- fo many candle^ when they were cafually viewed in the dark. Part of this luminous flefh was immediately fent to Aquapendente, who was profeiTor of anatomy in that city. He obferved, that br>th the lean and the fat of this meat ihone with a whitilh kind of light } and alfo took notice, that fome pieces of kid’s flelh, which had happened to have tain in contaft with it, were luminous, as well as the fingers and other parts of the bodies of thofe perfons who touched it. Thofe parts, he ob¬ ferved, (hone the moft which were foft to the touch, and feemed to be tranfparent in candle light j but w.here the flelh was thick and folid, or where a bone was near the outfide, it did not fhine. After this appearance, we find no account of any other fimilar to it, before that which was obferved by Bartholin, and of which he gives a very pompous de- fcription in his ingenious treatife already quoted. This happened at Montpelier in 1641, when a poor old woman had bought a piece of flefh in the market, intending to make ufe of it the day following. But happening not to be able to fleep well that night, and her bed and pantry being in the fame room, fhe obferv¬ ed fo much light come from the flefh, as to illuminate all the place where it hung. A part of this luminous flefli w'as carried as a curiofity to Henry Bourbon, duke of Conde, the governor of the place, who viewed it for feveral hours with the greateft aftonifhment. This light was obferved to be whitifh ; and not to cover the whole furface of the flefh, but certain parts only, as if gems of unequal fplendour had been fcattered over it. This flefli was kept till it began to putrefy, when the light vanifhed *, which, as fome religious people fancied, it did in the form of a crofs.- It is natural to expert, that the almoft univerfal ex¬ perimental philofopher Mr Boyle fhould try the effect of his air-pump upon thefe luminous fubftances. Ac¬ cordingly, we find that he did not fail to do it 5 when he prefently found that the light of rotten wood was extinguifhed in vacuo, and revived again on the ad- mifiion of the air, even after a long continuance in vacuo ; but the extinguifhing of this light was not fo complete immediately upon exhaufting the receiver, as fome little time afterwards. He could not perceive, however, that the light of rotten wood was increafed in condenfed air ; but this, he imagined, might arife from his, not being able to judge very well of the de¬ gree of light, through fo thick and cloudy a glafs Birch's hiji. veffe.l as he then made ufe of 5 but we find that the u’light of a fliining fifh, which was put into a condenf- ing engine before the Royal Society, in 1668, was rendered more vivid by that means. The principal of Mr Boyle’s experiments were made in Ortober This philofopher attended to a great variety of cir- cutuftances relating to this curious phenomenon. A_ Works, vol. iii. p. 156. mong other things he obferved, that change of air was Light, not receffary to the maintenance of this light j for it11 * " ■J‘ continued a long time when a piece of the wood was put into a very (mail glafs hermetically fealed, and it made no difference when this tube which contained the wood was put into an exhaufted receiver. This he alfo obferved with refpert to a luminous fifti, which he put into water, and placed in the lame circum- ftances. He alfo found, that the light of fliining fifties had other properties in common with that of ftiining wood ; but the latter, he fays, was prefently quenched with water, fpirit of wine, a greater variety of faline mixtures, and other fluids. Water, however, did not quench all the light of fome fliining veal on which he tried it, though ipirit of wine deftroyed its virtue piefently. Mr Boyle’s obfervation of light proceeding from -flefli meat was quite calual. On the 15th of February 1662, one of his lervants w as greatly alarmed with the fliining of fome veal, which had been kept a few days, ,but had no bad fmell, and was in a ftate very proper for ufe. The fervant immediately made his mafter ac¬ quainted with this extraordinary appearance j and though he was then in bed, he ordered it to be immediately .BzVrib ii, brought to him, and he examined it w ith the greateft: 70, attention. Suiperting that the ftate of the atmofphere had fome lhare in the produrtion of this phenome¬ non, he takes notice, after deferibing the appearance, that the wind was fonth-weft and bluftering, the air hot for the- feafon, the moon was paft its laft quarter, and the mercury in the barometer was at 2()^5th inches. . Mr Boyle was often difappointed in his experiments Light from on fliining fillies ; finding that they did not alw-aysfilhes- fliine in the very fame circumftances, as far as he could judge, with others which had ftiined before. At one time that they failed to fliine, according to his expec¬ tations, he obferved that the weather was variable, and not without fonie days of froft and fnow. In general he made ufe of whitings, finding them the fitteft for his purpofe. In a difeourfe, however, up¬ on this fubjert at the Royal Society in 1681, it was afferted, that, of all fiftiy Jubilances, the eggs of lob- fters, after they had been boiled, ftione the brighteft. Olig. Jacobceus obferves, that, upon opening a tea-Aft. Hafa, polypus, it was fo luminous as to ftartle feveral per-yol-v- fons who faw it j and he fays, that the more putrid theP‘ 2S2’ fifli w’as, the more luminous it grew. The nails alfo, and the fingers of the perfons who touched it, became luminous j and the black liquor which iffued from the animal, and which is its bile, flione alfo, but with a very faint light. Mr Boyle draws a minute comparifon between the light of burning coals and that ol ftiining wood or filh, {bowing in what particulars they agree, and in what they differ. Among other things he obferves, that ex¬ treme cold extinguilhes the light of Ihining wood, as appeared when a piece of it was put into a glals tube, and held in a frigorific mixture. He alfo found that rotten wood did not wafte itfelf by ftiining, and that the application of a thermometer to it did not difeo- ver the leaft degree of heat. There is a remarkable fliell-fifti called pholas, which jar forms for itfelf holes in various kinds of Hone, &c.markab]y That this fifli is luminous, was noticed by Pliny *, who luminous obferves, L I G [i Light, obferves, that it fliines in the mouth of the perfon who 1 » eats it, and, if it touch his hands or clothes, makes them luminous. He alfo fays that the light depends upon its moifture. The light of this fi(h has furnifhed matter for various obfervations and experiments to M. Reaumur, and the Bolognian academicians, efpe- cially Beccarius, who took fo much pains with the fubje£l of pbofphoreal light. M. Reaumur obferves, that, whereas other fifties give light wrhen they tend to putrefcence, this is more luminous in proportion to its being frefti j that when they are dried, their light will revive if they be moiften- ed either with frefh or fait water, but that brandy im¬ mediately extinguilhes it. He endeavoured to make this light permanent, but none of his fchemes fuc- ceeded. The attention of the Bolognian academicians was engaged to this fubje£t by M. F. Marfilius, in 1724, who brought a number of thefe fifties, and the ftones in which they were enclofed, to Bologna, on purpofe for their examination. Cem.Bonon- Beccarius obferved, that though this fifh ceafed to vol. ii. iyi. (bine when it became putrid *, yet that in its moft pu¬ trid Rate, it would ftiine, and make the water in which it was immerfed luminous, when it was agitated. Galeatius and Montius found, that wine or vinegar ex- tinguifhed this light j that in common oil it continued fome days j but in re&ified fpirit of wune or urine, hardly a minute. Ih order to obfferve in what manner this light was af¬ fected by different degrees of heat, they made ufe of a Reaumur’s thermometer, and found that water render¬ ed luminous by thefe fifties increafed in light till the heat arrived to 45 degrees *, but that it then became fuddenly extinCl, and could not be revived. In the experiments of Beccarius, a folution of fea fait increafed the light of the luminous water ; a folu¬ tion of nitre did not increafe it quite fo much. Sal ammoniac diminiftied it a little, oil of tartar per deli- (]uium nearly extinguiftied it, and the acids entirely. This water poured upon frelh calcined gypfum, rock cryftal, cerufe, or fugar, became more luminous. He alfo tried the effefls of it when poured upon various other fubftances, but there was nothing very remark¬ able in them. Afterwards, ufing luminous milk, he found that oil of vitriol extinguiftied the light, but that oil of tartar increafed it. This gentleman had the curiofity to try how dif¬ ferently coloured fubftances were affeCted by this kind of light ; and having, for this purpofe, dipped leveral ribbons in it, the white came out the brighteft, next to this was the yellow, and then the green ; the other colours could hardly be perceived. It was not, how¬ ever, any particular colour, but only light that was perceived in this cafe. He then dipped boards painted with the different colours, and alfo glafs tubes, filled with fubftances of different colours, in water rendered luminous by the fifties. In both thefe cafes the red was hardly vifible, the yellow was the brighteft, and the violet the dulleft. But on the boards the blue was nearly equal to the yellow, and the green more lan¬ guid ; whereas in the glafles, the blue was inferior to the green. Of all the liquors into which he put the pholades, milk was rendered the moft luminous. A fingle pho« 1 ] LI G las made feven ounces of milk fo luminous, that the faces of perfons might be diftinguiihed by it, and it looked as if it was tranfparcnt. Air appeared to be neceffary to this light •, for when Beccarius put the luminous milk into glafs tubes, no agitation would make it ffiine, unlefs bubbles of air were mixed with it. Alfo Montius and Galeatius found, that, in an exhaufted receiver, the pholas loft its light, but the water was fometimes made more lu¬ minous ; which they aferibed to the rifing of bubbles of air through it. Beccarius, as well as Reaumur, had many fchemes to render the light of thefe pholades permanent. For this purpofe he kneaded the juice into a kind of pafte, with flour, and found that it would give light when it was immerfed in warm water ; but it anfwered beft to preferve the fifh in honey. In any other method of prefervation, the property of becoming luminous would not continue longer than fix months, but in honey it had lafted above a year \ and then it would, when plunged in warm water, give as much light as ever it had done. Similar, in fome refpefts, to thofe obfervations on ABa Ccefa- the light of the pholas, was that which was obferved rienMt to proceed from wood which was moift, but not in aVol'Jl putrid ftate, which was very confpicuous in the dark. ^ 4 That the fea is fometimes luminous, efpecially when Light from it is put in motion by the dafhing of oars or thefeawater* beating of it againft a fhip, has been obferved with admiration by a great number of perfons. Mr Boyle, after reciting all the circumftances of this appearance, as far as he could colleft them from the accounts of navigators ; as its being extended as far as the eye could reach, and at other times being vifible only when the water was dafhed againft fome other body 5 that, in fome feas, this phenomenon is accompanied by fome particular winds, but not in others } and that fome¬ times one part of the fea will be luminous, when an¬ other part, not far from it, will not be fo ; concludes with faying, that he could not help fufpedling that thefe odd phenomena, belonging to great mafl'es of wa¬ ter, were in fome meafure owing to fome cofmical law , or cuftom of the terreftrial^globe, or at leaft of the planetary vortex. Some curious obfervations on the ihining of fome Dr Beale’s fifties, and the pickle in which they w^ere immerfed, exPeri- were made by Dr Beale, in May 1665 5 and had they ™ntson been properly attended to and purfued, might have eS* led to the difeovery of the caufe of this appearance. Having put fome boiled mackerel into water, together Phil.Tranf. with fait and fvveet herbs j when the cook was, fomevo' ft*- time after, ftirring it, in order to take out fome of theP*45°* fifties, ftie obferved, that, at the firft motion, the water was very luminous; and that the fifli ftiining through the water added much to the light which the water yielded. The water was of itfelf thick arid blackifti, rather than of any other colour ; and yet it ftiined on being ftirred, and at the fame time the fifties appeared more luminous than the water. Wherever the drops of this water, after it had been ftirred, fell to the ground, they ftiined ; and the children in the family diverted themfelves with taking the drops, which were as broad as a penny, and running with them about the houfe. The cook obferved, that, when ftie turned up that fide of the fifli that was loweft; no light came from L 1 G [ i Father Eourzf s’s account of luminous £ea water. Light, and that, when the water had fettled for fome time, —v it did not Ihine at all. The day following, the water gave but little light, and only after a brilk agitation, though the fifties continued to fhine as well from the infide as the outfide, and efpecially about the throat, and fuch places as feemed to have been a little broken in the boiling. When in the light of the fun, he examined, with a microfcope, a fmall piece of a fifti which had (hined very much the night before, he found nothing remarkable on its furface, except that he thought he perceived what he calls a Jleatn, rather dark than luminous, arifing like a very fmall dull from the fifti, and here | and there a very fmall and almoft imperceptible fparkle. Of the fparkles he had no doubt j but he thought it •; poflible that the fleam might be a deception of the fight, or fome dull in the air. Finding the fifti to be quite dry, he moiftened it with his fpittle} and then obferved that it gave a little light, though but for a ftiort time. The fifti at that time was not fetid, nor yet infipid to the beft difcern- ing palate. Two of the fifties he kept two or three days longer for farther trial : but, the weather being very hot, they became fetid : and, contrary to his ex¬ pectations, there was no more light produced either by the agitation of the water or in the fifti. Father Bourzes, in his voyage to the Indies in 1704, took particular notice of the luminous appear¬ ance of the fea. The light was fometimes fo great, that he could eafily read the title of a book by it, though he was nine or ten feet from the furface of the water. Sometimes he could eafily diftinguifti, in the wake of a (hip, the particles that were luminous from thofe that were not } and they appeared not to be all of the fame figure. Some of. them were like points of light, and others fuch as ftars appear to the naked eye. Some of them were like globes, of a line or two in diameter } and others as big as one’s head. Sometimes they formed themfelves into fquares of three or four inches long, and one or twro broad. Sometimes all thefe different figures were vifible at the fame time } and fometimes they were what he calls vortices of light, which at one particular time appeared and difappeared immediately like flafties of lightning. Nor did only the wake of the ftiip produce this light, but fifties alfo, in fwimming, left fo luminous a track behind them, that both their fize and fpecies might be diftinguiftied by it. When he took fome of the water out of the fea, and ftirred it ever fo little with his hand, in the dark, he always faw in it an in¬ finite number of bright particles} and he had the fame appearance whenever he dipped a piece of linen in the fea, and wrung it in a dark place, even though it was half dry ; and he obferved, that when the fparkles fell upon any thing that was folid, it would continue (hining for fome hours together. After mentioning feveral circumflances which did tures con- not contribute to this appearance, this father obferves, cerning the t}iat it depends very much upon the quality of the water; and he was pretty fure that this light is the greateft when the water is fatteft, and fulleft of foam. For in the main fea, he fays, the water is not everyvvhere equally pure-, and that,fometimes, if linen be dipped in the fea, it is clammy when it is drawn up again : and he often obferved, that when the wake of the ftiip ' 4 His cenjec- caufc. 2 ] L I G was the brighteft, the water was the mofl fat and glu- Light, tlnous, and that linen moiftened with it produced a V ~ * great deal of light, if it were ftirred or moved brifldy. Befides, in fome parts of the fea, he faw a fubftance like faw duft, fometimes red and fometimes yellow j and when he drew up the water in thofe places, it was always vifcous and glutinous. The failors told him that it wTas the fpawn of whales } that there are great quantities of it in the north } and that fometimes, in the night, they appeared all over of a bright light, without being put in motion by any veffel or fifti paf- fing by them. As a confirmation of this conjefture, that the more glutinous the fea water is, the more it is difpofed to become luminous, he obferves, that one day they took a fith which was called a bonite, the infide of the mouth of which was fo luminous, that without any other light, he could read the fame charafters which he had before read by the light in the wake of the (hip •, and the mouth of this fifti was full of a vifcous matter, which, when it was rubbed upon a piece of wood, made it im¬ mediately all over luminous } though, when the moif- ture was dried up, the light was extinguiflied. The abbe Nollet was much ftruck with the lumi-Abb(s noufnefs of the fea when he was at Venice in 1749 jlet’s theory, and, after taking a great deal of pains to afcertain the circumftances of it, concluded that it was occafioned by a ftiining~infe£t } and having examined the water very often, he at length did find a fmall infed, which he particularly defcribes, and to which he attributes the light. The fame hypothefis had alfo occurred to M. Vianelli, profeffor of medicine in Chioggia near Venice •, and both he and M. Grizellini, a phyfician in Venice, have given drawings of the infe&s from which they imagined this light to proceed. The abbe was the more confirmed in his hypothefis, by obferving, fome time after, the motion of fome lumi¬ nous particles in the fea. For, going into the water, and keeping his head juft above the furface, he faw them dart from the bottom, which was covered with weeds, to the top, in a manner which he thought very much refembled the motions of infeds} though, when he endeavoured to catch them, he only found fome luminous fpots upon his handkerchief, which were enlarged when he preffed them with his finger. M. le Roi, making a voyage on the Mediterranean, prefently after the abbe Nollet made his obfervationstjons of M. at Venice, took notice, that in the day time, the prowle R.oi. of the Ihip in motion threw up many fmall particles, which, falling upon the water, rolled upon the furface jy[emoires of the fea for a few feconds before they mixed with prefentes, it} and in the night the fame particles, as he con-vol.iii. 144. eluded, had the appearance of fire. Taking a quan¬ tity of the water, the fame fmall fparks appeared whenever it was agitated } but, as was obferved with refped to Dr Beale’s experiments, every fucceflive agi¬ tation produced a lefs effed than the preceding, except after being fuffered to reft a while } for then a frefty agitation would make it almoft as luminous as the firft. This water, he obferved, would retain its property of fliining by agitation a day or two} but it dilappeared immediately on being fet on the fire, though it was not made to boil. This gentleman, after giving much attention to this phenomenon, concludes, that it is not occafioned by any J L I G [ t-ight. Experi¬ ments by M. Ant. Martin. Saved. Abhand. vol. xxiii. p. *25. By Mr Canton. any (liming infers, as the abbe Nollet imagined j efpe- ■* cially as, after carefully examining fome of the lumi¬ nous points, which he caught upon an handkerchief, he found them to be round like large pins heads, but with nothing of the appearance of any animal, though he viewed them with a microfcope. He alfo found, that the mixture of a little fpirit of wine with water iuft drawn from the fea, would give the appearance of a great number of little fparks, which would continue viiible longer than thofe in the ocean. All the acids, and various other liquors, produced the fame effeft, though not quite fo confpicuoufly \ but no frelh agi¬ tation would make them luminous again. M. le Roi is far from afferting that there are no luminous infeds in the fea. He even fuppofes that the abbe Nollet and M. Vianelli had found them. But he wras fatisfied that the fea is luminous chiefly on fome other account, though he does not fo much as advance a conjedure about what it is.' M. Ant. Martin made many experiments on the light of fifties, with a view to difcover the caufe of the light of the fea. He thought that he had reafon to conclude, from a great variety of experiments, that all fea fifties have this property j but that it is not to be found in any that are produced in frefh water. No¬ thing depended upon the colour oi the fifties, except that he thought that the white ones, and efpecially thofe that had white fcales, were a little more lumi¬ nous than others. This light, he found, was increafed by a fmall quantity of fait 3 and alfo by a fmall degree of warmth, though a greater.degree extinguiftied it. This agrees with another obfervation of his, that it depends entirely upon a kind of moifture which they had about them, and which a fmall degree of heat would expel, when an oilinefs remained which did not give this light, but would burn in the fire. Light from the flefti of birds or beafts is not fo bright, he fays, as that which proceeds from fifti. Human bodie^ he fays, have fometimes emitted light about the time that they began to putrefy, and the walls and roof of a place in which dead bodies had often been expofed, had a kind of dew or clamminefs upon it, which was fome¬ times luminous j and he imagined that the lights w hich are faid to be feen in burying-grounds may be owing to this caufe. From fome experiments made by Mr Canton, he concludes, that the luminoufnefs of fea water is owing to the {limy and other putrefcent fubftances it con¬ tains. On the evening of the 14th of June 1768, he put a fmall frefti whiting into a gallon of fea water, in a pan which wras about 14 inches in diameter, and took notice that neither the whiting nor the water, when agitated, gave any light. A Fahrenheit’s ther¬ mometer, in the cellar where the pan was placed, flood at 540. The 15th, at night, that part of the fifti which was even with the furface of the water was lu¬ minous, but the water itfelf was dark. He drew the end of a flick through it, from one fide of the pan to the other ; and the water appeared luminous behind the flick all the way, but gave light only where it was diflurbed. When all the water was flirted, the whole became luminous, and appeared like milk, giv¬ ing a confiderable degree of light to the fides of the pan 3 and it continued to do fo for fome time after it was at reft. The water was moft luminous when the. 3 1 . , li G fifti had been in it about 28 hours 3 but would not give any light by being ftirred, after it had been in it three v~*" days. He then put a gallon of frefh water into one pan, and an equal quantity of fea water into another 3 and into each pan he put a freth herring of about three ounces. The next night the whole furface of the fea water was luminous without being ftirred 3 but it was much more fo when it was put in motion 3 and the upper part of the herring, which was confiderably be¬ low the furface of the water, was alfo very bright j while at the fame time the frefti water, and the fifti that was in it, were quite dark. There were feveral very bright luminous fpots on different parts of the furface of the fea w^ater 3 and the whole, when viewed by the light of a candle, feemed covered with a greafy fcum. The third night, the light of the fea water while at reft, was very little, if at all lefs than before 3 but when ftirred, its light was fo great as to difcover the time by a w'atch, and the fifti in it appeared as a dark fubftance. After this, its light was evidently de- creafing, but was not quite gone before the 7th night. The frefh water and the fifli in it were perfe&iy darfc during the whole time. The thermometer was gene¬ rally above 6o°. The preceding experiments were made with fea water : but he now made ufe of other water, into which he put common or fea fait, till he found, by an hydro¬ meter, that it was of the fame fpecific gravity with the fea w'ater 3 and, at the fame time, in another gallon of water, he diffolved two pounds of fait 3 and into each of thefe waters he put a fmall freth herring. The next- evening the whole furface of the artificial fea water was luminous without being ftirred 3 but gave much more light when it was difturbed. It appeared exaftly like the real fea water in the preceding experiment 3 its light lafted about the fame time, and went off in the fame manner : while the other water, which was almoft as fait as it could be made, never gave any light. The herring which was taken out of it the feventh night, and u-aftied from its fait, was found firm and fweet ; but the other herring was very fcft and putrid, much more fo than that which had been kept as long in frefti water. If a herring, in warm weather, be put into 10 gallons of artificial fea water, inftead of one, the water, he fays, will ftill become luminous, but its light will not be fo ftrong. It appeared by fome of the firft obfervations on this fubjeft, that heat extinguifties the light of putref¬ cent fubftances. Mr Canton alfo attended to this cir- cumftance 3 and obferves, that though the greateft fummer heat is well known to promote putrefadlion, yet 20 degrees more than that of the human blood feems to hinder it. For putting a fmall piece of a luminous fifti into a thin glafs ball, he found, that water of the heat of 118 degrees would extinguifti its- light in lefs than half a minute 3 but that, on taking it out of the water, it would begin to recover its light in about 10 feconds 3 but it was never afterwards fo bright as before. Mr Canton made the fame obfervation that Mr Ant. Martin had done, viz. that feveral kinds of river fifti could not be made to give light, in the fame, circum- ftances in which any fea fifti became luminous. He fays, howsver, that a piece cf.carp made the water very. luminous,. > L I G [ i "Light, luminous, though the outlide, or fcaly part of it, did w-y i no(. j^jne at a]{_ For the fake of thofe perfons who may choofe to re¬ peat his experiments, heobferves, that artificial fea wa¬ ter may be made without the ufe of an hydrometer, by the proportion of four ounces avoirdupois of fait to feven pints of water, wine meafure. A very elaborate paper on the fubject by Dr Hulme appeared in the Philofophical Tranfa6tions for 1800, to which we refer our readers, and to Chemistry, p. 451. The ocean From undoubted obfervations, however, it appears, luminous that in many places of the ocean it is covered with lumi- ff-dls ln" nous *n^e(^s t0 a very confiderable extent. M. Dagelet, a French aftronomer who returned from the Terra Au- ftralisin the year 1774, brought with him feveral kinds of worms which fhine in water when it is fet in motion j and M. Rigaud, in a paper inferted (if we are not mif- taken) in the Journal des S^avans for the month of March 1770, affirms, that the luminous furface of the fea, from the port of Breft to the Antilles, contains an immenfe quantity of little, round, fhining polypufes of about a quarter of a line in diameter. Other learned men, who acknowledge the exiftence of thefe luminous animals, cannot, however, be perfuaded to confider them as the caufe of all that light and fcintillation that appear on the furface of the ocean : they think that fome fubftance of the phofphorus kind, arifing from pu- trefa£lion, mull be admitted as one of the caufes of this phenomenon. M. Godehoue has publilhed curious ob¬ fervations on a kind of filh called in French bonite, al¬ ready mentioned ; and though he hasobferved, and ac¬ curately defcribed, feveral of the luminous infe£ls that are found in fea-water, he is, neverthelefs, of opinion, that the fcintillation and flaming light of the fea pro¬ ceed from the oily and greafy fubltances with which it is impregnated. The abbe No'llet was long of opinion, that the light of the fea proceeded from ele£lricity (a) j though he afterwards feemed inclined to think, that this pheno¬ menon wras caufed by fmall animals, either by their lu¬ minous afpeft, or at leafl by fome liquor or effluvia which they emitted. He did not, however, exclude other caufes j among thefe, the fpawn or fry of filh de- ferves to be noticed. M. Dagelet, failing into the bay of Antongil, in the illand of Madagafcar, obferved a prodigious quantity of fry which covered the furface of the fea above a mile in length, and which he at firll took for banks of fand on account of their colour •, they exhaled a difagreeable odour, and the fea had appear¬ ed with uncommon fplendour fome days before. The fame accurate obferver, perceiving the fea remarkably luminous in the road of the Cape of Good Hope during a perfedl calm, remarked, that the oars of the canoes produced a whitiffl and pearly kind of lullre ; when he took in his hand the water which contained this phof¬ phorus, he difcerned in it, for fome minutes, globule,'* of light as large as the heads of pins. When he preffed thefe globules, they appeared1 to his touch like a foft and thin pulp j and fome days after the fea w as covered 4 ] L 1 G near the coalls with whole banks of thefe little filh in Light- innumerable multitudes. y-^. To putrefaclion, alfo, fome are willing to attribute that luminous appearance which goes by the name of ignis fatuus, to which the credulous vulgar afcribe very Ignis extraordinary and efpecially mifehievous powers. It tuns. is moll frequently obferved in boggy places and near rivers, though fometimes alfo in dry places. By its appearance benighted travellers are laid to have been fometimes milled into marlhy places, taking the light which they faw before them for a candle at a dillancej from which feemingly mifehievous property it has been thought by the vulgar to be a fpirit of a malignant na¬ ture, and been named accordingly f'pz// with a wi/p, or Jack with a lanthorn ; for the fame reafon alfo it pro¬ bably had its Latin name ignis fatuus. Tiiis kind of light is faid to be frequent about bury¬ ing places and dunghills. Some countries are alfo remarkable for it, as about Bologna in Italy, and fome parts of Spain and Ethiopia. Its forms are fo un¬ certain and variable that they can fcarce be defcribed, efpecially as few philofophical obfeivers ever had the good fortune to meet with it. Dr Derham, however, happened one night to perceive one of them, and got fo near that he could have a very advantageous view of it. This is by no means eafy to be obtained } for, among other Angularities of the ignis fatuus, it is obferved to avoid the approach of any perfon, and fly from place to place as if it was animated. That which Dr Derham obferved was in fome boggy ground betwixt two rocky hillsand the night w as dark and calm; by which means, probably, he was enabled to advance within two or three yards of it. It appeared like a complete body ©f light without any divifion, fo that he was fure it could not be occafioned by infers as fome have fuppofed; the feparate lights of which he could not have failed to diftinguilh, had it been occafloned by them. The light kept dancing about a dead thiftle, till a very flight motion of the air, oc¬ cafioned, as he fuppofed, by his near approach to it, made it jump to another place; after which it kept flying before him as he advanced. M. Beccaria endea¬ voured to procure all the intelligence he could concern¬ ing this phenomenon, by inquiring of all his acquaint¬ ance who might have had an opportunity of obferving it. Thus he obtained information that two of thefe lights appeared in the plains about Bologna, the one to the north, and the other to the fouth, of that city, and w ere to be feen almoft every dark night, efpecially that to the call ward, giving a light equal to an ordinary faggot. The latter appeared to a gentleman of his ac¬ quaintance as he w as travelling ; moved conllantly be¬ fore him for about a mile ; and gave a better light than a torch w hich was carried before him. Both thefe appearances gave a very ftrong light, and were con¬ llantly in motion, though this- various and uncertain. Sometimes they would rife, fometimes fink ; but com¬ monly they would hover about fix feet from the ground ; they would alfo frequently difappear on a fud- den, (a) This hypothefis was alfo maintained in a treatife publilhed at Venice in 1746, by an officer in the Aullrian fervice, under the title, De/P Eletrecifmo, L I G [i Lt'gbt. den, and appear again in fome other place. They dif- fered alfo in fize and figure, fometimes fpreading pret¬ ty wide, and then contra£hng themfelvesj fometimes breaking into two, and then joining again. Sometimes they would appear like w-aves, at others they would feem to drop fparks of fire : they were but little affect¬ ed by the wind •, and in wet and rainy weather were frequently obferved to caft a ftronger light than in dry weather : they were alfo obferved more frequently when fnow lay upon the ground, than in the hotted; fummer •, but he was affured that there was not a dark night throughout the whole year in which they were not to be feen. The ground to the eaftward of Bolog¬ na, where the largeft of thefe appearances was obferved, is a hard chalky foil mixed with clay, which will re¬ tain the moifture for a long time, but breaks and cracks in hot weather. On the mountains, where the foil is of a loofer texture, and lefs capable of retaining moifture, the ignes fatui were lefs. From the belt information which M. Beccaria was able to procure, he found that thefe lights were very frequent about rivers and brooks. He concludes his narrative with the following lingular account: “ An intelligent gentleman travelling in the evening, between eight and nine, in a mountainous road about ten miles fouth of Bologna, perceived a light which Ihone very ftrangely upon fome ftones which lay on the banks of the river Rioverde. It feemed to be about two feet above the ftones, and not far from the water. In fize and figure it had the appearance of a parallele¬ piped, fomewhat more than a foot in length, and half a foot high, the longeft fide being parallel to the ho¬ rizon. Its light was fo ftrong, that he could plainly difcern by it part of a neighbouring hedge and the water of the river •, only in the eaft corner of it the light was rather faint, and the fquare figure lefs per- feCl, as if it w as cut off or darkened by the fegment of a circle. On examining it a little nearer, he was fur- prifed to find that it changed gradually from a bright red, firft to a yellowilh, and then to a pale colour, in proportion as he drew nearer ; and when he came to the place itfelf, it quite vanilhed. Upon this he ftep- ped back, and not only faw it again, but found that the farther he w^ent from it, the ftronger and brighter it grew. When he examined the place of this lumi¬ nous appearance, he could perceive no fmell nor any other mark of fire.” This account was confirmed by another gentleman, w'ho informed M. Beccaria, that he had feen the fame light five or fix different times in fpring and in autumn 5 and that it always appeared of the lame ftiape, and in the very fame placed One night in particular, he obferved it come out of a neighbouring field to fettle in the ufual place. A very remarkable account of an ignis fatuus is given by Dr Shaw in his Travels to the Holy Land. It appeared in the valleys of Mount Ephraim, and at¬ tended him and his company for more than an hour. Sometimes it would appear globular, or in the fhape of the fiame of a candle j at others it would fpread to fuch a degree as to involve the whole company in a pale in- offenfive light, then contraft itfelf, and fuddenly dis¬ appear*, but in lefs than a minute would appear again; fometimes running fwiftly along, it would expand itfelf at certain intervals over more than two or three acres of the adjacent mountains. The atmofphere from the 5 J L I G beginning of the evening had been remarkably thick Light, and hazy ; and the dew, as they felt it on the bridles'-“‘v'- of their horfes, was very clammy and un&uous. Lights refembling the ignis fatuus are fometimes obferved at fea, fkipping about the mafts and rigging of (hips ; and Dr Shaw informs us, that he has feen thefe in fuch weather as that juft mentioned when he faw the ignis fatuus in Paleftine. Similar appearances have been obferved in various other fituations; and we are told of one which appeared about the bed of a woman in Milan, furrounding it as u'ell as her body entirely. This light fled from the hand which ap¬ proached it; but was at length entirely difperfed by the motion of the air. Of the fame kind allb, moft pro¬ bably, are thofe fmall luminous appearances which fome¬ times appear in houfes or near them, called in Scot¬ land Eif candles^ and which are fuppofed to portend the death of fome perfon about the houfe. In general thefe lights are harmlefs, though not alw ays; for we have accounts of fome luminous vapours which would encompafs ftacks of hay and corn, and fet them on fire ; fo that they became obje£ls of great terror and concern to the country people. Of thefe it was obferved, that they would avoid a drawn fword, or ftiarp-pointed iron inftrument, and that they w-ould be driven away by a great noife ; both which methods were made ufe of to diflipate them : and it was like- wife obferved, that they came from fome diftance, as it were on purpofe to do mifchief. Several philofophers have endeavoured to account for thefe appearances, but hitherto with no great iuccefs ; ^ror indeed does there feem to be fufficient data for folving all their phenomena. Willoughby*, Ray, and others, have imagined that the light was occafioned by a number of fhining infers; but this opinion was never fupported in fuch a manner as to gain much ground. The ignis fatuus feen by Dr Derham above mentioned, as w-ell as all the other in- ftances we have related, feem to demonftrate the contrary. Sir Ifaac Newton calls it a vapour (hin- ing without heat ; and fuppofes that there is the fame difference between the vapour of ignis fatuus and flame, that there is between the ftiining of rotten wood and burning coals. But though this feems gene¬ rally to be the cafe, there are ftill fome exceptions, as has been inftanced in the vapours which fet fire to the ftacks of corn. Dr Prieftley fuppofes that the light is of the fame nature with that produced by putref- cent fubftances; and others are of opinion, that thd ele&rica] fluid is principally concerned ; but none have attempted to give any particular folution of the phenomena. From the frequent appearance of the ignis fatuus in marfties, moift ground, burying places, and dung¬ hills, w'e are naturally led to conclude, that putrefa&ion is concerned in the produftion of it. This procefs, we know, is attended with the emiflion of an aqueous fteam, together with a quantity of fixed, inflammable,, and azotic airS, all blended together in the form of vapour. It is likewife attended with fome de¬ gree of heat; and we know that there are fome va¬ pours, that of fulphur particularly, which become lu¬ minous, with a degre of heat much lefs than that fuffi¬ cient to fet fire to combuftible bodies. There is no inctmfiftency, therefore, in fuppofing that the putrid vapour L I G . t 16 vapour may be capable of ftuning with a ftill fmaller degree of heat than that of fulphur, and confequently become luminous by that which putrefaction alone af¬ fords. This would account for the ignis fatuus, were it only a fteady luminous vapour arifing from places where putrid matters are contained; but its extreme mobility, and flying from one place to another on the approach of any perfon, cannot be accounted for on this principle. If one quantity of the putrid vapour be¬ comes luminous by means of heat, all the reft ought to do fo likewife j fo that, though wre may allow heat and putrefaction to be concerned, yet of neceflity we mu ft have recourfe to fome other agent, which cannot be any other but eleftricity. Without this, it is im- poftible to conceive how any body of moveable vapour iliould not be carried away by the wind } but fo far is this from being the cafe, that the ignes fatui, defcribed by M. Beccaria, were but little affeaed by the wind. It is befides proved by undoubted experiment, that elearicity always is attended with fome degree of heat j and this, however fmall, may be fufficient to give a lu¬ minous property to any vapour on which it aas ftrong- ly ; not to mention, that the eleadc fluid itfelf is no other than that of light, and may therefore by its aaion eafily produce a luminous appearance independent of any vapour. We have a ftrong proof that elearicity is con¬ cerned, or indeed the principal agent, in producing the ignis fatuus, from an experiment related by Dr Prieftley of a flame of this kind being artificially pro¬ duced. A gentleman, who had been making many eiearical experiments for a whole afternoon in a fmall room, on going out of it, obferved a flame following him at fome little diftance. This, we have no reafon to doubt, was a true ignis fatuus, and the circumftances neceffary to produce it were then prefent, viz. an at- mofphere impregnated with animal vapour, and like¬ wife ftrongly electrified. Both thefe circumftances un¬ doubtedly muft have taken place in the prefent cafe ; for the quantity of peripiration emitted by a human body is by no means ineonfiderable •, and it, as well as the eleClricity, would be collected by reafon of the fmallnefs of the room. In this cafe, however, there feems to have been a confiderable difterence between the artificial ignis fatuus and thofe commonly met with j for this flame followed the gentleman as he went out of the room •, but the natural ones commonly fly from thofe who approach them. This may be ac¬ counted for, from a difference between the eleftricity of the atmofphere in the one room and the other *, in which cafe the flame would naturally be attrafted to¬ wards that place where the eleftricity w’as either dif¬ ferent in quality or in quantity •, but in the natural way, where all bodies may be fuppofed equally elec¬ trified for a great way round, a repulfion will as natu¬ rally take place. Still, however, this does not feem to be always the cafe. In thofe inftances where travellers have been attended by an ignis fatuus, we cannot fup- pofe it to have been influenced by any other power than what we call altraBion, and which ele&ricity is very capable of producing. Its keeping at fome diftance is likewife eafily accounted for ; as we know that bodies poffeffed of different quantities of eledricity may be made to attrad one another for a certain fpace, and then repel without having ever come into contad. ] L I G On this principle we may account for the light which furrounded the woman at Milan, but fled from the hand of any other perfon. On the fame principle may we account for thefe mifehievous vapours which fet fire to the hay and corn Hacks, but were driven away by prefenting to them a pointed iron inftrument, or by making a noife. Both thefe are known to have a great effed upon the eledric matter \ and by means of either, even lightning may oecafionally be made to fall upon or to avoid particular places, according to the circum¬ ftances by w hich the general mafs happens to be affed- ed at that time. On the w hole, therefore, it feems moft probable, that the ignis fatuus is a colledion of vapour of the pu- trefeent kind, very much affeded by eledricity •, ac¬ cording to the degree of which, it will either give a weak or ftrong light, or even fet fire to certain fub- ftances difpofed to receive its operation. This opinion feems greatly to be confirmed from fome luminous ap¬ pearances obferved in privies, where the putrid vapours have even colleded themlelves into balls, and exploded violently on the approach of a candle. This laft effed, however, we cannot fo well aferibe to the eledricity, as to the accenfion of the inflammable air which frequent¬ ly abounds in fuch places. In the appendix to Dr Prieftley’s third volume of Experiments and Obfervations on Air, Mr Warltire gives an account of fome very remarkable ignes fatui, which he obferved on the road to Bromfgrove, about five miles from Birmingham. The time of obfervation was the 12th of December 1776, before day-hght. A great many of thefe lights were playing in an adjacent fields in different diredions j from fome of which there fuddenly fprung up bright branches of light, fomething refembling the explofion of a rocket that contained many brilliant ftars, if the discharge w'as upwards, in- ftead of the ufual diredxon j and the hedge and trees on each fide of the hedge were illuminated. This ap¬ pearance continued but a few feconds, and then the jack-a-lanterns played as before. Mr Warltire was not near enough to obferve if the apparent explofions were attended with any report. Cronftedt gives it as his opinion, that ignis fatuus, as well as the meteors called falling Jlars, are owing to collodions of inflammable air raifed to a great height in the atmofphere. But, with regard to the latter, the vaft height at which they move evidently (how's that they cannot be the effed of any gravitating vapour whatever 5 for the lighteft inflammable air is one-twelfth of that of the common atmofphere : and we have no reafon to believe, that at the diftance of 40 or 50 miles from the earth, the latter has near one-twelfth of its weight at the furface. From the account given by Mr Warltire, we ftiould be apt to conclude, that there is a ftrong affinity betwixt (ha ignes fatui and fire balls, infomuch that the one might be very eafily converted into the other. From this then we muft aferibe an eledrical origin to the one as well as the other. Elec¬ tricity, w'e know, can afl'ume both thefe appearances, as is evident in the cafe of points j or even when the atmofphere is violently eledrified, as around the ftring of an 'eledrical kite, which always will appear to be furrounded with a blue flame in the night, if the elec¬ tricity be very ftrong. On the whole, it appears, that eledricity ading up¬ on Light. L I G [i Phofphoric light. on a fmall quantity of atmofpherical air, with a certain degree of vigour, will produce an appearance refem- bling an ignis fatuus; with a fuperior force it will pro¬ duce a fire ball; and a fudden increafe of eleftrical power might produce thofe fparks and apparent ex- plofions, obferved by Mr Warltire. The only diffi¬ culty therefore is, Why does eleftricity exert its power upon one portion of the atmofphere rather than an¬ other, feeing it has an opportunity of diffufing itfelf equally through the whole ? To this it feems im- poffible to give any other reafon than that we fee the fa LILYBiEUM, in Ancient Geography, a city of Si¬ cily, fituated on the moll wellerly promontory of the ifland of Sicily, and faid to have been founded by the Carthaginians on their expulfion from Mutya by Diony- fius, tyrant of Syracufe. It is remarkable for three fieges it fuflained ; one againlt Dionyfius the tyrant, another again ft Pyrrhus, king of Epirus, and the third againft the Romans. The two firft failed in their at¬ tempts, but the Romans with great difficulty made themfelves mailers of it. No remains of this once ftate- ly city are now to be feen, except fome aquedudls and temples; though it was Handing in Strabo’s time. LILYE, William, the grammarian, was born in the year 1466 at Oldham in Hampffiire ; and in i486 was admitted a femi-commoner of Magdalen college in Oxford. Having taken the degree of bachelor of arts, he left the univeility, and travelled to JerufaleiiL Returning from thence, he continued five years in the ifland of Rhodes, where he Iludied the Greek language, feveral learned men having retired thither after the ta¬ king of Conftantinople. From Rhodes he travelled to Rome ; where he improved himfelf in the Greek and Latin languages, under Sulpitius and P. Sabinus. He then returned to London, where for fome time he taught a private grammar-fchool, being the firft per¬ fon who taught Greek in the metropolis. In 1510, when Dr Colet founded St Paul’s fchool, Lilye was ap¬ pointed the firft mailer; at which time, it feems, he was- married and had many children. In this employment he had laboured 12 years, when, being feized by the plague, which then raged in London, he died in Fe¬ bruary 1523, and was buried in the north yard of St Paul’s. He had the chara£ler of an excellent gram¬ marian, and a fuccefsful teacher of the learned lan¬ guages. His principal work is BrcviJJitna inflitutio, feu ratio grammatices cognofcendce ; Lond. 1513. Re¬ printed times without number, and commonly called Li/ye's grammar. The Englilh rudiments were writ¬ ten by Dr Colet, dean of St Paul’s ; and the. preface to the firft edition, by Cardinal Wolfey. The Englifti fyntax was written by Lilye ; alfo the rules for the genders of nouns, beginning wdth propria quce mart, bus : and thofe for the preterperfeft tenfes and fupines, beginning with As in prefenti. The Latin fyntax w as chiefly the w-ork of Erafmus. See Ward’s preface to his edition of Lilye’s Grammar, 1732. LIMA, the metropolis of Peru, contains 209 fquares of buildings, which comprife 8222 doors of dwelling houfes and (hops, and thefe are branched out into 3 55 facets.. In order to maintain peace and tranquillity among- Lilly H Luna. L I M [ 24 ] L I M Lima, among the inhabitants, and for the accommodation of ■— the police, the city is divided into four quarters, con- taining 35 diflrifts, over each of which there prefides an alcaid, who is always elefted from among the people of the moft diftinguilhed rank. The population, accord¬ ing to eftimate made at different periods, is as follows. In 1600, - 14,262 1614, - 25,455 1700, - 37>259 1746, - 60,000 i755> " 54>000 1781, - 6o,oco 1790, - 52>627 By this table it appears, that from 1746 to 1755, the population fuffered a diminution of 6000, which was owing to an earthquake that happened at the former period ;—a calamity with which that city is often vi- fited. Were it not for this circumftance, Lima would be a perfeft paradife, as the adjacent country abounds with corn, wdne, oil, fugar, fruits, and flax. Such abundance of wealth do the inhabitants enjoy, that when the duke of Palata was lent from Spain as vice¬ roy to Peru, they paved the ttreets through which he was to pafs with ingots of fxlver. Libertmifm and de¬ bauchery are the diftinguifhing charafteriflics of the people of Lima, for which even the nuns are as notori¬ ous as the reft of the females, feldom being fiee from venereal complaints. In the month of March 1543, the emperor Charles V. eftablifhed an audience at Lima, in confequence of which the inhabitants were freed from the painful neceffity of feeking a redrefs of their grievances at fo great a_di- ftance as Panama. Among the excellent inftitutions by which the Peruvian capital is diftinguifhed, we may rank the provincial councils, which fhew the conftant zeal of the fovereigns of Spain for the defence of reli¬ gion and prefervation of difcipline. The prelates, by their paftoral vigilanee, (pare neither pains nor labour to premote their views, to accomplifh their lacred and interefting purpofes. By a decree of the Spanifh emperor, which reached Lima in 1553, a univerfity was begun in a central fpot of the capital, called the univerfity of St Mark, which is now in a moft flourilhing condition. Don Francifco Toledo affigned 20,312 piaftres as a fund for the main¬ tenance of the profeffors, arifihg from the tributes paid by the Indians. Two le&ures are given daily on grammar, one on the Indian language, three on philo- fophy, three on theology, three on law, two on canons, and two on medicine. In the year 1790 an amphi¬ theatre was eredted for the ufe of the anatomical ftu- dents. The college for female orphans was founded by Mateo Paftor de Velafco, not at the hour of death, which often gives to charitable endowments an air of fufpicion, but when he was in the full poffeffion of per- fedt health. In 1597 a pious philofopher founded a charitable inftitution for the fupport of fuch helplefs children as were laid down in the ftreets by their un¬ feeling parents. This building was deftroyed by the earthquake of 1687, which laid in ruins, the greater part of the city. It was afterwards rebuilt, and is at prefent in a flourilhing condition. In 1559 an hofpital was eredted for the relief of the unfortunate fick, who might otherwife have perifhed for w ant of medical aid, Lima, and obtained the name of the Fellowjhip of Charity and Companion. A general hofpital for the poor was be¬ gun about 1758, but not completed till 177°> 'which 1790 afforded a comfortable afylum to 29 poor 111 * / — — * _ •" » _ people. The afylum for penitent females was founded in 1669. It has been faid that there is not a city in the world in which fo many alms are diftributed as in Lima. . . In the centre of the great fquare there is a fountain of bronze, the ornaments of which are conformable, to the rules of the compofite order. It has an elevation of 154 yards to the helmet of Fame, from which de¬ ducting l |; yards for the height of that figure, the re¬ mainder gives the part to which the water riles ill order to diffufe itfelf. This produaion of art, combin¬ ing magnificence in every part of it with fine architec¬ tural tafte, is furrounded by 24 pieces of artillery, and 16 iron chains, a narrow fpace being left for accefs to the inhabitants. # . • Coffee-houfes were not known in Lima till the year X771 when one was opened in the itreet of Santo Do¬ mingo, and another the year following. A third was eftabtiflied in 1775, a fourth in 1782, and a filth in 1788, in each of which there is a billiard table tor the amufement of the inhabitants. We are forry to fay that the barbarous pra&ice of cock-fighting obtains m Lima, for which purpofe a building was erected m v the year 1762. The tennis court is open to the public, and affords the fpedator an agreeable hour of relaxa¬ tion from more ferious purluits. Lima is fituated m v . Long. 76. 44. S. Lat. 12. 1. . .. . LIMASSOL, or Limisso, a town of Cyprus, in the fouth of the ifland. Of the ancient city nothing but ruins now remains *, though it was a celebrated Cypruu place, even under the government of the dukes. King Richard, the conqueror of the laft of thefe vaffals of the empire, razed it in 1191, and it was never afterwards rebuilt. This city originally was the fame as Ama- THUS, or Amathonte j fo famous, as Paufanias tells us, for its temple ere&ed in honour of Venus and Adonis. Amathus was the refidence of the firft nine kings of the ifland ; and, amongft others of. Oneliftus, who w^as fubie&ed afterwards by the arms of Artabanes, the Perfian general. This city, efeaed into an archbilhop- ric in the time of the Chriftians, has produced a number of perfonages celebrated for their knowledge and the fan which contains the outlines of his life and charafter. on it. Ibe Roman north gate Hill remains entile, by He was a man of great natural fagacity, a Ikilful phy- the name of Nexvport Gate. It is f'ne. of the nobiei. fician, a profound' grammarian, and one of the bell of this fort in Britain. It is a vail femicircle of Hones Greek and Latin fcholars of his time. Eraimus in of very large dimenfions laid without mortar, connect- his epiftlcs- fpeaks highly of the Doaor’s tranfiations ed only by their uniform ffiape. This magnificent arch from Galen, preferring them even to the original is 16 feet in diameter, the Hones are four feet thmk at Greek. His works are, 1. De emendata JlruBura La- the bottom. It feems to have a joint in the middle, tini fermonis, libri fex ; London, printed by Pynfon, not a key Hone ; and on both Hides, towards the upper 1 r24, 8vo, and by Stephens, 1527, 1532. 2. The part, are laid horizontal Hones of great dimenfions, Rudiments of Grammar, for the ufe of the princefs fome 10 or 1 2 feet long. Phis arch anles from an im* Mary printed by Pynfon. Buchanan tranflated it pofl of large mouldings, which are not perceivable into Latin ; Paris, 1536. He likewife tranflated in- now ; there are alfo divers fragments of the old Roman to very elegant Latin teveral of Galen’s works, which w'all. Over againfl the caflle is an entrenchment call were printed chiefly abroad at different times. Alfo up by King Stephen; and here are carved the arms of Procd D'adtchi fphxra. tranflated from the Greek; John of Gaunt duke of Lancafter, who lived here like Venet. 1499, 1500. a king, and had a mint. The city has a communica- LINARIA. See Fringilla, Ornithology Index. tion with the Irent, by a canal called the hois-dyke. LINCOLN, a city of England, and capital of a In the centre of the old ruined caflle there is a hand- county of the fame name, is diflant 132 miles from Home* modern flruffure for holding the affizes. Its London. It Hands on the fide of a hill; at the bot- walls are almofi entire, and very fubflantial : the keep tom of which runs the river Witham in three fmall or principal tower is fituated on a high and very fleep channels, over which are feveral bridges. The old mount, which yet continues in its original Hate but the Lindum of the Britons, which Hood on the top of the remains of the tower on it are only five or fix yards hill, as appears from the vefliges of a rampart, and high. The outer walls of the cattle are of very con- deep ditches Hill remaining, was taken and demoliffied fiderable height, which appear Hill higher than they by the Saxons ; who built a town upon the fouth fide really are from their lofty iituation and the moat below of the hill down to the river fide, which was feveral them. Ihe great gateway is Hill entire.. I is city times taken by the Danes, and as often retaken by the is a county of itfelf, and has a vncountial junfdiction,-. Saxons. In Edward the Confeffor’s time, it appears, for 2Q miles round, which is a privilege that no other from Doomfday-book, to have been a very confider- city in England can equal. It now eonliHs principal- able place; and in the time of the Normans, Malmfbury ly of one Hreet above two miles long, well paved, be¬ lays, it-was one of the molt populous cities in Eng- fides feveral crofs and parallel Hreets well peopled, land. William I. built a cafile upon the fummit of Here are fome very handfome modern buildings,, but the hill above the town. The diocefe, though the bi- more antique ones; upon the whole, it has an air of fhopric of Ely was taken out of it by Henry II. and ancient greatnefs, arifing in a great meafure from the thofe of Peterborough and Oxford by Henry VIII. is number of monaflic remains moft of which are now Hill vafily large, containing the counties of Leieefler, converted into Hables, out-houfes, &c. Upon the hill, Huntingdon, Bedford, and part of Bucks, making 1255 in the caftle, are the ruins of the bifliop s palace, and pariffies. Though the other churches are mean, the other ruins of ancient, grandeur and magnificence, cathedral or minfter is a mofl magnificent piece of Go- The city is fupplied with water by feveral conduits, thic architefture. Here is a prodigious large bell, among which is a. modern one, iomewhat m the pyra- called Tom of Lincoln, which is near five ton in weight, midical flyle, enriched with feulpture. It is governed and 2 3 feet in compafs. The hill on which the church by a mayor, twelve aldermen, two ffienfts, a recorder Hands is fo high, and the church itfelf fo lofty, that four chamberlains, a fwordbearer, four coroners, and it may be feen to miles to the north and 30 to the above forty common-council men Here are four cha- fouth Befides other tombs, it contains one of brafs,. rity fchools, where 120 poor children are taught by* LIN [ 29 } LIN Lincoln the widows of clergymen. The neighbouring' courfe il. is noted for its frequent horfe-races. On the down of finclUy* Lincoln, towards Bolton, that rare fowl the buftard is fometimes feen, as well as on Saliibury plain. Lincoln- Heath extends above 50 miles, viz. from Sleaford and Ancafter fouth to the Humber north, though it is but three or four miles over where broadeft. Five miles from Bollon on this extenfive heath, Lord le Hefpenfer built a tower for the direction of Grangers It is a lofty fquare building with a ftaircafe, terminating in a flat roof, and round the bale is a fquare court-yard. Great part of this extenfive heath has been enclofed. We read that David king of Scots met King John here, on the 27d of November, in the third year of his reign, and performed homage to him on a hill without the city, for his Englilh territories, in prefence of the archbifhops of Canterbury, York, and Ragufa, 13 bi- fhops, and a vaft number of temporal lords and knights. King Henry VII. kept his court here at Eafter in i486. The Jews were once its chief inhabitants, till they were forced to remove, after having impioufly crucified the child of one Grantham, and thrown it in¬ to a well, to this day called Grantham's Well. Lincoln has given the title of earl to the family of Clinton ever fince the reign of Queen Elizabeth. W. Long. 27. 1. N. Lat. 53. 16. LINCOLN Shire, a maritime county of England, 77 miles in length and 48 in breadth, is bounded on the eaft by the German ocean, on the weft by Notting- hamfhire, on the north by Yorkfhire, on the fouth by Rutlandfnire, Northamptonfhire, and Cambridgefhire, It contains 631 parifties, and 31 market towns, and re¬ turns 12 members to parliament. The principal rivers are the Humber, the Trent, the Witham, the Nenn, the Welland, the Ankham, and the Dun. It is di¬ vided into three parts, Lindfey, Keftoven, and Hol¬ land } the air of which laft is unwholefome and foggy, on account of the fens and large marfties. The foil of the north and weft parts is very fertile, and abounds in corn and paftures. The eaft and fouth parts are not fo proper for corn •, but then they fupply them with filb and fowl in great plenty, particularly ducks and geefe. Lincoln is the principal town. By inland navigation, this county has communication with the rivers Mer- fey, Dee, Ribble, Oufe, Darwent, Severn, Thames, Avon, &c. •, which navigation, including its windings, extends above 500 miles through different counties. This county, in 1801, contained 41,395 houfes, in¬ habited by 42,629 families j and the total number of inhabitants amounted to 208,557. LINDESFARN, or Landisfarn. See Hqlt- IJland. LINDSAY, Sir David, a celebrated Scots poet,, was defcended of an ancient family, and born in the reign of King James IV. at his father’s feat, called the Mount, near Cupar, in Fifefhire. He was educated at the univerfity of St Andrew’s •, and, after making the tour of Europe, returned to Scotland in the year 1514. Soon after his arrival, he was appointed gen¬ tleman of the bedchamber to the king, and tutor to the young prince, afterwards James V. From the verfes prefixed to his dream, we learn that he enjoyed leveral other honourable employments at court: but, in he w as deprived of all his places, except that of Lyon king at arms, which he held to the time of his death. His difgrace was moft probably owing to LindiVy his invedf ives againft the clergy, which are frequent in ^. jj^ all his writings. After the deceafe of King James V.. ' " Sir David became a favourite of the earl of Arran, re¬ gent of Scotland ; but the abbot of Paifley did not iuffer him to continue long in favour with the earl. He then retired to his paternal eftate, and Ipent the remainder of his days in rural tranquillity. He died in the year 1553. His poetical talents, confidering the age in which he wrote, were not contemptible ; but he treats the Romish clergy with great feverity, ;;id writes with fome humour : but, whatever merit might be formerly attributed to him, he takes fueh licentious liberties with words, ftretching or carving them for meafure or rhime, that the Scots have a proverb, when they hear an unufual expreffion, that, There is nae fa a word in «’ Davie Lindfay. Mackenzie tells us, that his comedies were fo facetious, that they afford¬ ed abundance of mirth. Some fragments of thefe co¬ medies are ftill preferved in manufcript. He is faid to have alfo written feveral tragedies, and to have firft introduced dramatic poetry into Scotland. One of his comedies was played in 1515. Mackenzie fays, he underftood nothing of the rules of the theatre. He was cotemporary with John Heywood, the firft Eng- lifh dramatic poet. His poems are printed in one fmall volume 5 and fragments of his plays, in manu¬ fcript, are in Mr William Carmichael’s colleflion. LINDSEY, the third and largeft divifion of the county of Lincolnfhire in England. On the eaft and north it is waflied by the fea, into which it runs out with a large front ; on the weft it has Yorkfhire and Nottinghamftiire, from which it is parted by the ri¬ vers Trent and Dun j on the fouth it has Keftoven, from which it is feparated by the river Witham and the Fofs-dyke, which is feven miles long, and was cut by Henry I. between the Witham and the Trent, for the convenience of carriage in thofe parts. It had its name from Lincoln, the capital of the county, which ftands in it, and by the Romans called Lindum, by the Britons Lindcoite, by the Saxons Lindo-col/yne, pro¬ bably from its fituation on a hill, and the lakes or woods that were anciently thereabouts j but the Nor¬ mans called it Nichol. It gives title of earl and mar-* quis to the duke of Ancafter. LINDUS, in Ancient Geography, a town of Rhodes, fituated on a hill on the weft fide of the ifland. It was built by Tlepolemus the fun of Hercules, according to Diodorus Siculus j by one of the Htliades, grand- fons of the Sun, named Lindus, according to Strabo. It was the native place of Cleobulus, one of the wife men. Here we fee the famous temple of the Lindian Minerva, which was built by the daughters of Danaus. Cadmus enriched this temple with many fplendid of¬ ferings. The citizens dedicated and Lung up here the leventh of Pindar’s Olympic odes, written in let¬ ters of gold. The ruins of that fuperb edifice are ftill to be feen on the top of a high hill which overlooks the fea. Some remains of the walls, confifting of ftones of an enormous fize, ftill ftrow it to have been built in the Egyptian ftyle. The pillars and other ornaments have been carried off. On the moft ele¬ vated peak of the rook are the ruins of a caftle, which may have ferved as a fortrefs to the cily. Its circum¬ ference is very extenfive, and is filled with ruhbifti. Lindor L I N [ 3° 1 L I N Linea. Lincms Undo, the modern city, ftands at the foot of the hill, A bay of confiderable widenefs and depth ferves , as a harbour to the city. Ships find good anchorage there in twenty fathoms water. T hey are fafely Ihel- tered from the fouth-weft wdnds, which conftantly pre¬ vail through the fevereft feafon of the year. In the beginning of winter, they caft anchor off a fmall vil¬ lage named Maffary. Before the building of Rhodes Lindus was the harbour which received the fleets of Egypt and Tyre. It was enriched by commerce. Mr Savary obferves, that a judicious government, _ by taking advantage of its harbour and happy fituation, might yet reftore it to a flourilhing Rate. LINE, in Geometry, a quantity extended in length only, without any breacuh or thicknefs. It is formed by the flux or motion of a point. See Fluxions, and Geometry. . , n , ,.r Line, in the art of war, is underftood ot the dit- pofition of an army ranged in order of battle, with the front extended as far as may be, that it may not be flanked. . . Line of Battle, is alfo underftood of the diipohtion of a fleet in the day of engagement j on which oc- cafion the veflels are ufually drawn up as much as pof- fible in a ftraight line, as well to gain and keep the ad¬ vantage of the wind as to run the fame board. See Naval Tactics. Horizontal LINE, in Geography and AJlronomy, a line drawn parallel to the horizon of any part of the earth. . . EquinoBial LINE, in Geography, is a great circle en the earth’s furface, exaftly at the diftance of 90 from each of the poles, and of confequence bifeaing the earth in that part. From this imaginary line, the degrees ©f longitude and latitude are counted.—In aftronomy, the equinoftial line is that circle which the fun feems to defcribe round the earth on the days of the equinox in March and September. See ASTRO¬ NOMY and Geography. _ . Meridian LINE, is an imaginary circle drawn through the two poles of the earth and any part of its furface. See Geography Index. Ship of the LINE, a veffel large enough to be drawn up in the line, and to have a place in a fea- fight. r if r 1 Line, in Genealogy, a feries or jucceflion ot rela¬ tions in various degrees, all defcending from the fame common father. See Descent. _ # Line, alfo denotes a French meafure containing the 12th part of an inch, or the 144th part of a foot. Geometricians conceive the line fubdivided into fix points. The French line anfwers to the Englifli bar¬ ley-corn. . Fijhing Line. See Fishing Line. Lines, in Heraldry, the figures ufed in armories to divide the ftiield into different parts, and to compofe different figures. Thefe lines, according to their dif¬ ferent forms and names, give denomination to the pieces or figures which they form, except the ftraight or plain lines. See Heraldry. LINEA ALBA, in Anatomy, the concourfe of the tendons of the oblique and tranfverfe mufcles of the abdomen ; dividing the abdomen in two, in the middle. It is called linea, line, as being ftraight; and alba, from its colour, which is white.—The linea alba receives a twig of a nerve from the intercoftals in each of its di- gitations or indentings, which are vifible to the eye, in lean perfons efpecially. LINEAMENT, among painters, is ufed for the outlines of a face. LINEAR numbers, in Mathematics, fuch as have relation to length only } fuch is a number which repre- fents one fide of a plain figure. If the plain figure be a fquare, the linear figure is called a root. LINEAR Problem ; that which may be folved geo¬ metrically by the interfeftion of two right lines. This is called a f triple problem, and is capable but of one folution. LINEN, in commerce, a well known kind of cloth, chiefly made of flax.— Linen w as not w orn by the Jews, Greeks, or Romans, as any part of their ordinary drefs. Under-tunics of a finer texture fup- plied the place of flrirts : Hence the occafion for fre¬ quent bathing. Alexander Severus was the firft em¬ peror who wore a fhirt : but the ufe of fo necef- fary a garment did not become common till long after him. The linen manufaflure was probably introduced into Britain with the firft fettlement of the Romans. The flax was certainly firft planted by that nation in the Britilh foil. The plant itfelf indeed appears to have been originally a native of the eaft. The woollen- drapery w'ould naturally be prior in its origin to the linen ; and the fibrous plants from which the threads of the latter are produced, feem to have been firft noticed and worked by the inhabitants of Egypt. In Egypt, indeed, the linen manufacture appears to have been very early : for even in Jofeph’s time it had rben to a confiderable height. From the Egyptians the know'- ledge of it proceeded probably to the Greeks, and from them to the Romans. Even at this day the flax is imported among us from the eaftern nations the weftern kind being merely a degenerate fpecies of it. In order to fucceed in the linen manufacture, one fet of people fliould be confined to the ploughing and preparing the foil, fowing and covering the feed, to the weeding, pulling, rippling, and taking care of the new feed, and watering and dreffing the flax till it is lodged at home : others thould be concerned in the drying, breaking, fcutching, and heckling the flax, to fit it for the fpinners •, and others in fpinning and reeling it, to fit it for the weaver : others fhould be concerned in taking due care of the weaving, bleach¬ ing, beetling, and finifhing the cloth for the market. It is reafonable to believe, that if thefe feveral branches of the manufa&ure were carried on by diftinfl dealers in Scotland and Ireland, where our home-made linens are manufaftured, the feveral parts would be better executed, and the whole would be afforded cheaper, and with greater profit. Staining of LlNEN. Linen receives a black colour with much more difficulty than woollen or cotton. The black ftruck on linen with common vitriol and galls, or logwood, is very periihable, and foon walhes out.—In- ftead of the vitriol, a folution of iron in four ftrong beer is to be made ufe of. This is well-known to all the calico- printers •, and by the ufe of this, which they call their iron-liquor, and madder root, are the blacks and pur- ples made which we fee on the common printed linens. The Linesi !i Linen. r LIN f Liiwn The method of making this iron liquor is as follows j ji A quantity of iron is put into the four ftrong beerj Loi gou. ancj^ tQ prornote diffolution of the metal, the whole is occafionally wellftirred, the liquor occafionally drawn off, and the ruft beat from the iron, after which the li¬ quor is poured on again. A length of time is required to make the impregnation perfect $ the folution being , ' reckoned unfit for ufe till it has Hood at leaft a twelve- month. This folution flains the linen of a yellow, and different {hades of buff-colour j and is the only known fubltanee by which thefe colours can be fixed in linen. The cloth ffained deep with the iron-liquor, and after¬ wards boiled with madder, without any other addition, becomes of the dark colour which we fee on printed linens and cottons; which, if not a perfect black, has a very near refemblance to it. Others are ftained paler with the fame liquor diluted with water, and come out purple. Linen may alfo be ftained of a durable purple by means of folution of gold in aqua regia. The folution for this purpofe ftiould be as fully faturated as poffible ; it ftiould be diluted with three times its quantity of water ; and if the colour is required deep, the piece, when dry, muft be repeatedly moiftened with it. The colour does not take place till a confiderable time, fometimes feveral days, after the liquor has been ap¬ plied : to haften its appearance, the fubjefl ftiould be expofed to the fun and free air, and occaffonally re¬ moved to a moift place, or moiftened with w’ater.— When folution of gold in aqua regia is foaked up in linen cloths, the metal may be recovered by drying and burning them. LlNEN flowered with Gold-leaf. Dr Lewds mentions a manufacture eftabliftied in London for embelliftiing linen with flowers and ornaments of gold-leaf. The linen, he fays, looks whiter than moft of the printed linens; the gold is extremely beautiful, and bears w'afti- ing well. The do£tc)r informs us, that he had feen a piece which he was credibly informed had been waffled three or four times, with only the fame precautions which are ufed for the finer printed linens; and on ■which the gold continued entire, and of great beauty. Concerning the procefs ufed in this manufacture, he gives us no particulars. Tojfile LlNEN, is a kind of amianthus, which confifts of flexible, parallel, foft fibres, and which has been ce¬ lebrated for the ufe to which it has been applied, of be¬ ing woven, and forming an incctnhuflible cloth. Paper alfo, and wicks for lamps, have been made of it. See Amianthus. Asbestos, and Mineralogy Index. LING, a fpecies of fifh belonging to the genus Ga- dus, which fee in Ichthyology Index. LINGEN, a ftrong town of Germany, in the cir¬ cle of Weftphalia, and capital of a county of the fame name. It belongs to the king of Pruflia ; and is fitu- ated on the river Embs, in E. Long. 7. 30. N. Lat. 52. 32. LINIMENT, in Pharmacy, acompofition of a con- fiftence fomewhat thinner than an unguent, and thicker than an oil. See Materia Medica Index. LINLITHGOW, the chief town of Weft Lothian in Scotland. It is fuppofed to be the Lindum of Ptole¬ my ; and to take its name from its fituation on a lake, which the word Lin or Lyn fignifies.—It is diftant 16 miles from Edinburgh, and is a royal borough and feat 31 1 L ? N of a prefbytery. Here is carried on a confiderable trade Linlithgow, in dreffing of whiteffeather, which is fent abroad to be *'‘n*‘t.ksow" manufactured; and many hands are employed in drefling , fl^re‘ ■ of flax ; alfo in wool-combing, the wool for which is brought from the borders. Its port was formerly Black- nefs; but fince the decline of that \>\a.ce,BorrowJ1ounnefs, about tw'o miles diftant from Linlithgow. The town confifts of one open ftreet, from whence lanes are de¬ tached on both fides ; the houfes are built of (tone, tolerably neat and commodious; and the place is a- dorned with fome {lately public edifices. The palace, built, as Sibbald fuppofed, on the feat of a Roman fta- tion, forms a fquare with towers at the corners, and {lands on a gentle eminence, with the beautiful loch be¬ hind it to the weft. It was one of the nobleft of the roy¬ al refidences ; and w'as greatly ornamented by James V. and VI. Within the palace is a handfome fquare ; one fide of which is more modern than the others, having been built by James VI. and kept in good repair till 1746, when it was accidentally damaged by the king’s forces making fires on the hearths, by w'hich means the joills w'ere burnt. A ftone ornamented fountain in the middle of the court was deftroyed at the fame time. The other fides of the fquare are more ancient. In one is a room ninety-five feet long, thirty feet fix inches wide, and thirty-three high. At one end is a gallery with three arches, perhaps for mufic. Narrow galleries run quite round the old part, to preferve com¬ munication with the rooms ; in one of which the un¬ fortunate Mary Stuart firft faw light. On the north fide of the high ftxeet, on an eminence eaft of the pa¬ lace, {lands St Michael’s church ; a handfome ftru6ttire, where James V. intended to have erefled a throne and twelve ftalls for the fovereign and knights of the order of St Andrew. In the market-place is another foun¬ tain of two {lories with eight {pouts, and furmounted like the former with an imperial crown. In one of the ftreets is ftiown the gallery where the regent Murray was {hot. Here was a houfe of Carmelites, founded by the townfpeople in 1290, deftroyed by the Reformers 1559. The family of Livingfton, who took the title of earl from this place, w-ere hereditary keepers of the palace, as alfo bailiffs of the king’s bailifry, and con- ftables of Blacknefs caftle ; but by their concern in the rebellion of 1715 all thefe honours with their eftate were forfeited to the crown. Sir James Livingfton, fon of the firft earl by marriage with a daughter of Callen- dar, was created earl of Callendar by Charles I. 1641, which title funk into the other. LINLITHGOWSHIRE, or West Lothian, nearly approaches in form to a parallelogram, about 20 miles long from eaft to weft, and from 10 to 13 broad, from north to fouth. It is bounded by the river Forth on the north ; by the river Amond on the fouth- eaft ; by Lanarkftnre on the fouth-weft , and by the river Avon on the w eft. It is allowed to be one of the richeft counties in Scotland, the foil in general being a rich loam, in a high Hate of cultivation and improve¬ ment. Its furface is diverfified by gentle fwells and fertile plains; and the number of elegant feats almoft everywhere to be met with, gives it both a rich and de¬ lightful appearance. The whole is a compofition of all that is great and beautiful; towns, villages, feats, and ancient towers, decorate each bank of that fine expanfe of water, the frith of Forth, The lofty moun¬ tains- « L I N Linlithgow- tains of the Highlands form a diftant, but [ 32 auguft llii'e, boundary towards the north-weft ; andtheeaftern view Lmnseu.-. . is enlivened with {hips perpetually appearing or vamfti- ing, amidft the numerous iilands. Hopetoun-houfe, Barnbougle-caftle, Calder-houfe, Craigie-hall, and the feat of General Dundas, are fome of the principal orna¬ ments of this county. It contains two royal boroughs, Linlithgow and Queensferry, befides the towns of Borrowftounnefs, Bathgate, and Kirkliftoun. It is poorly fupplied with running water, the Avon ana Amend being the only ftreams which are deferving of notice. There are many valuable minerals found in it in abundance, fuch as coal, limeftone, and fome le^d ore. In the reign of James VI. a vein of lead was dil- covered, fo rich in filver, that it was thought worthy of being wrought for the fake of that metal alone. Almoft every parifti abounds with ironftone, which is extenfively wrought in the parifti of Bathgate. In many places there are appearances of whinftone or bafalt, par¬ ticularly at Dundas-hill, in the parifti of Dalmeny, where there is a folid front of bafaltic rock, exhibiting in fome places regular columns. T-he population of this county in 1801 amounted to 17,844. The fol¬ lowing is the population of the parifties according to the Statiftical Hiftory. iO Parijhes. Abercorn Bathgate Borrowftounnefs Carridden Dalmeny Ecclefmachan Kirkliftoun Linlithgow Livingftone Queensferry Torphichen Uphall Whitburn Population in 1755- I037 1594 2668 1164 1103 351 1461 3296 598 451 1295 690 1121 16,829 Population in 179c—1798. 870 2309 31?8 >450 907 2>5 1504 3221 420 505 1069 600 1322 >7*570 16,829 Increafe, 741 LINNiEUS, Sir Charles, a celebrated botanift and natural hiftorian, was born on May 24. 1707, in a village called Roefhult in Smaland, where his father, Nicholas Linnceus, was then vicar, but afterwards pre¬ ferred to the curacy of Stenbrohult. We are told, that on the farm where Linnaeus was born, there yet ftands a large lime tree, from which his anceftors took the iurnames of 'FilKinder^ Lindehus^ and Linnceus,* and that this origin of furnames, taken from natural obje£ts, is not uncommon in Sweden. This eminent man, whofe talents enabled him to re¬ form the whole fcience of natural hiftory, accumulated, very early in life, fome of the higkeft honours that a- wait the moft fuccefsful proficients in medical fcience fince we find that he was made profeffor of phyfic and botany, in the univerfity of Upfal, at the age of 34 *, and fix years afterwards, phyfieian to Adolphus king of Sweden ; who in the year 1753 honoured him ftill farther, by creating him knight of the order of the ] LIN Polar Star. His honours did not terminate here : for tiri aeus.^ in 1737 he was ennobled j and in 1776 the king Frcr}. Dr Sweden accepted the refignation of his office, and re- puitjieyt warded his declining years by doubling his penfion, and General by a liberal donation of landed property fettled on him View of the and his family. It feems probable, that Linnaeus’s tafte for the ftu- J dv of nature was caught from the example of his fa¬ ther ; who, as he has himfelf informed us, cultivated, as his firft amufement, a garden plentifully ftored with plants. Young Linnaeus foon became acquainted with thefe, as well as with the indigenous ones of his neigh¬ bourhood. Yet, from the ftraitnefs of his father’s in¬ come, our young naturalift was on the point of being deftined to a mechanical employment j fortunately, however, this defign was overruled. In 1717 he was lent to fchool at Wexfio; where, as his opportunities were enlarged, his progrefs in all his favourite purfuits was proportionably extended. At this early period he paid attention to other branches of natural hiftory, par¬ ticularly to the knowledge of infefls. The firft part of his academical education Linnaeus received under Profeflor Stobaeus, at Lund, in Scania, who favoured his inclinations to the ftudy of natural hiftory. After a refidence of about a year, he remov¬ ed in 1728 to Upfal. Here he foon contra&ed a clofe friendffiip with Artedi, a native of the province of Angermania, who had already been four years a ftu- dent in that univerfity, and, like himfelf, had a ftrong bent to the ftudy of natural hiftory in general, but par¬ ticularly to ichthyology. Soon after his refidence at Upfal, our author was alfo happy enough to obtain the favour of ftveral gentlemen of eftablifhed charafier in literature. He was in a particular manner encou¬ raged in the purfuit of his ftudies by the patronage of Dr Olaus Celfius, at that time profeffor of divinity, and the reftorer of natural hiftory in Sweden •, who, being ftruek with the diligence of Linnaeu-sin deferib- ing the plants of the Upfal garden, and his extenfive knowledge of their names, not only patronized him in a general way, but admitted him to his houfe, his ta¬ ble, and his library. Under fuch encouragement it is not ftrange that our author made a rapid progrefs, both in his ftudies and the efteem of the profeffors : in fa&, we have a very {hiking proof of his merit and attainments •, fince we find, that, after only two years refidence, he was thought fufficiently qualified to give ledlures occafionally from the botanic chair, in the room of Profeffor Rudbeck. In the year 1731, the Royal Academy of Sciences at Upfal having for fome time meditated the defign of improving the natural hiftory of Sweden, at the in- ftance particularly of Proftffors Cellius and Rudbeck, deputed Linnaeus to make the tour of Lapland, with the foie view of exploring the natural hiftory of that arftic region j to which undertaking, his reputation, already high as a naturalift, and the ftrength of his conftitution, equally recommended him. He left Up¬ fal the 13th of May, and took his route to Gevalia or Gevels, the principal town of Geftricia, 45 miles di- ftant from Upfal. Hence he travelled through Hel- fingland into Medalpadia, where he made an excur- fion, and afeended a remarkable mountain before he reached Hudwickfwald, the chief town of Helfingland. From hence he went through Angermanland to Her- L I N rinnaras. nofand, a fea-port on the Bothnic gulf, 70 miles diftant from Hudwickfwald. When he had proceeded thus far, he found it proper to retard his journey, as the fpring Was not fufficiently advanced ; and took this opportunity of -vifiting thofe remarkable caverns on the fummit of Mount Skula, though at the hazard of his life. When Linnceus arrived at Uma, in Weft Both¬ nia, about 96 miles from Hernofand, he quitted the public road, and took his courfe througli the woods weft ward, in order firft to traverfe the moft fouthern parts of Lapland. Being now come to the country that was more particularly the objeft of his inquiries, equally a ftranger to the language and to the manners of the people, and without any affociate, he committed himfelf to the hofpitality of the inhabitants, and ne¬ ver failed to experience it fully. He fpeaks in feveral places, with peculiar fatisfaflion, of the innocence and limplicity of their lives, and their freedom from difeafes. In this excurfion he reached the mountains towards Norway j and after encountering great hardthips, returned into Weft Bothnia, quite exhaufted with fatigue. Our traveller next vifited Pitha and Lula, upon the gulf of Bothnia j from which latter place he took again a weftern route, by proceeding up the ri¬ ver of that name, and vilited the ruins of the temple of Jockmock in Lula Lapland or Lap Mark : thence he traverfed what is called the Lapland Defert, deftitute of all villages, cultivation, roads, or any conveniences j inhabited only by a few ftraggling people, originally defcended from the Finlanders, and who fettled in this country in remote ages, being entirely a diftinft people from the Laplanders. In this diftridl he afcended a noted mountain called Wallevari ;\n fpeaking of which he has given us a pleafant relation of his finding a lin¬ gular and beautiful new plant {Andromeda tetragona) when travelling within the arftic circle, with the fun in his view at midnight, in fearch of a Lapland hut. From hence he crofted the Lapland Alps into Fin- mark, and traverfed the Ihores of the North fea as far as Sallero. Thefe journeys from Lula and Pitha on the Both- nian gulf, to the north Ihore, were made on foot; and our traveller was attended by two Laplanders, one his interpreter, and the other his guide. He tells us that the vigour and ftrength of thefe two men, both old, and fufficiently loaded with his baggage, excited his admiration ; fince they appeared quite unhurt by their labour, while he himfelf, although young and robuft, was frequently quite exhaufted. In this journey he was wont to fleep under the boat with which they ford¬ ed the rivers, as a defence againft rain, and the gnats, which in the Lapland fummer are not lefs teafing than in the torrid zones. In defeending one of thefe ri¬ vers, he narrowly pfeaped perifhing by the overfettjng of the boat, and loft many of the natural productions which he had collected. Linnaeus thus fpent the greater part of the fummer in examining this arftic region, and thofe mountains on which, four years afterwards, the French philofo- phers fecured immortal fame to Sir Ifaac Newton. At length, after having fuffered incredible fatigues and hardlhips, in climbing precipices, palling rivers in mi- ferable boats, fuffering repeated viciffitudes of extreme heat and cold, and not unfrequently hunger and thirft, VOL. XII. Part I. ( 33 1 L I N he returned to Tornea in September. He did not Linnneus take the fame route from Tornea as when he came " ’ into Lapland, having determined to vifit and examine the country on the eaftern fide of the Bothnian gulf: his firft; ft&ge, therefore, was to Ula in Fall Bothnia ; from thence to Old and New Carlebay, 84 miles fouth from Ula. He continued his route through Wafa, Chriftianftadt, and Biorneburgh, to Abo, a fmall uni- verfity in Finland. Winter was now fetting in apace j he therefore crofted the gulf by the illand of Aland, and arrived at Upfal in November, after having per¬ formed, and that moftly on foot, a journey of ten de¬ grees of latitude in extent, exclufively of thofe devia¬ tions which fuch a defign rendered neceflary. In 1733 he vifited and examined the feveral mines in Sweden j and made himfelf fo well acquainted with mineralogy and the docimaftic art, that we find he was fufficiently qualified to give le&ures on thofe fubjedts upon his return to the univerfity. The outlines of his fyftem on mineralogy appeared in the early editions of the Systema Naturce ; but he did not exemplify the whole until the year 1768. In the year 1734 Linnaeus was fent by Baron Reu- terholm, governor of Dalecarlia, with feveral other na- turalifts in that province, to inveftigate the natural pro¬ ductions of that part of the Swedilh dominions j and it was in this journey that our author firft laid the plan of an excellent inftitution, which was afterwards exe¬ cuted, in a certain degree at leaft, by himfelf, with the affiftance of many of his pupils, and the refult publifti- ed under the title of Pan Suecicus, in the fecond volume of the Amcenitates Academic }n w«,ch he e"' deaveurs to excite an attention and inquiry into the knowledge of infeas, by difplaying the many finguiar phenomena that occur in contemplating the nature of thofe animals, and by pointing out, in a variety ot rn- ftances, their ufefulnefs to mankind in particular, ana to the economy of nature in general. _ During all this time, however, Linnseus appears to have had his eye upon the botanic and medical chair at Upfal, at this time occupied by Rudbetk, who was far advanced in life. We learn indeed tnat he was fo intent on purfuing and perfecting his great dc- figos in the advancement of his favourite ftudy of na¬ ture, that he had determined, if he failed in procuring 7 tn© Linnaeus. LIN [ linnsetif. tfie profeffordiip at Upfal, to accept the offer that i—~Y—^ had been made to him by Haller of filling the botanic chair at Gottingen. However, in courfe of time, he obtained his with. In the year 1741, upon the re~ fignation of Roberg, he was eonftituted joint profef- for of phyiic, and phyftcian to the king, with Rofen, who had bean appointed in the preceding year on the death of Rudbeek. Thefe two colleagues agreed to divide the medical departments between them ; and their choice was confirmed by the univerfity. Rofen took anatomy, phyfiology, pathology, and the the¬ rapeutic part j Linngeus, natural hiflory, botany, ma¬ teria mediea, the dietetic part, and the diagnofis mor- borum. During the interval of his removal from Stock¬ holm to Gpfal in confequence of this appointment, our profeibr was deputed by the Rates of the king¬ dom to make a tour to the iflands of Oeland and Goth¬ land in the Baltic, attended by fix of the pupils, com- miffioned to make fuch inquiries as might tend to improve agriculture and arts in the kingdom, to which the Swedifh nation had for fome time paid a particular attention. The refult of this journey was very fuccefsful, and proved fully fatisfaftory to the Rates, and was afterwards communicated to the pub¬ lic. On his return he entered upon the profeffor- fhip, and pronounced before the univerfity his oration de Peregr inertia nil m intra P atria ni necejjitate, October 17. 1741 •, m which he forcibly difplays the ufefulnefs of fuch excurfions, by pointing out to the ftudents that vaft field of ofc^efls which their country held out to their cultivation, whether in geography, phyfics, mi¬ neralogy, botany, zoology, or economics, and by fhow- 3fag the benefit that mufi: accrue to themfelves and their country as rewards to their diligence. That animated fpirit which runs through the whole of this compofition, renders it one of the molt pleaftng and inftruflive of all our author’s produftions. Linnaeus was now fixed in the fituation that was the bell adapted to his character, his tafte, and abili¬ ties ; and which feems to have been the objefl of his ambition and centre of his hopes. Soon after his efta- blifliment, he laboured to get the academical garden, which had been founded in 1657, Put on a better foot¬ ing and very foon effected it j procuring alfo a houfe to be built for the refidence of the profeffor. The whole had been in ruins ever fince the fire in 1702 ; and at the time Linnseus was appointed profeffor of botany, the garden did not contain above fifty plants that were exotic. His correfpondence with the firft botanifls in Europe loon fupplied him with great variety. He received Indian plants from Juffieu of Paris, and from Van Royen of Leyden j European plants from Haller and Ludwig ; American plants from the late Mr Coi- linfon, Mr Catefby, and others ; and variety of annuals from Dillenius : in fliort, how much the garden owed to his diligence and care in a few years, may be feen by the catalogue publiflied under the title of Hortus Uftfa- lien/is, exhibens P/antas exoticas horto Upfalien/is Aca- d*mi<% a fefe (Linnceo) illatas ab anno 1742, in annum £ 74#, additis differentiis fynonymisy habitationibus, hof- pitiis, rariorumque deferiptiombus, in gratiam Jludiofce ju-ventutis} Holm. 174^* 8vo. pp. 306. tab. 3. By this catalogue it appears, that the profeffor had intro¬ duced X100 fpecies, exclufively of all the Swedifh plants 35 ] _ , . L 1.N . and of varieties; which latter, in ordmsff gardens, a- mount not unfrequently to one-third of the whole tium- ~ ber. The preface contains a curious hiftory of the cli¬ mate at Upfal, and the progfefs of the feafons through¬ out the whole year. From the time that Linnasus and Rofen were ap¬ pointed profeffors at Upfal, it fhotild feem that the credit of that univerfity, as a fehool of phyfic, had been increafing : numbers of ftudents reforted thither from Germany, attravled by the character of thefe twof able men j and in Sweden itfelf many young mefr were invited to the ftudy of phyfic by the excellent manner in which it was taught, who otheTwife would have en¬ gaged in different purfuits. Whilft Linnsetrs was meditating one of his capital performances, which had long been expected and great¬ ly wifhed for, he was interrupted by a tedious and painful fit of the gout, which left him in a very weak and difpirited ftate; and,-according to the intelligence that his friends gave of him, nothing was thought to have contributed more to the reftoration of his fpirits than the feafonable scquiiition, at this juncture, of a colleftion of rare and undeferibed plants. The fame which our author had now acquired by his Syftema Naturce, of which a fixth edition, much en¬ larged, had been pubTifhed at Stockholm in 1748 in 8vo. pp. 232, with eight tables explanatory of the claffes and orders (and which was alfo republifhed by Gronovius at Leyden), had brought, as it were, a conflux of every thing rare and valuable in every branch of nature, from all parts of the globe, into Sweden. The king and queen of Sweden had their feparate col¬ lections of rarities': the former at Ulrickidahl j the latter, very rich in exotic infefts and fhells, procured at a great expence, at the palace of Drottningholm ; both of which our author was employed in arranging and deferibing. Befides thefe, the mufoum of the Royal Academy of Upfal had been augmented by a confiderable donation from the king, whilft hereditary prince, in 1746 j by another from Count Gyllenborg the year before ; by a third from M. Grill, an opulent citizen of Stockholm. From this time we fee the profeffor in a more elevated rank and fituation in life. His reputation had already procured him honours from almoft all the royal focieties in Europe $ and his own fovereign, truly fenfible df his merit, and greatly efteeming his charafrer and abilities, favoured him with a mark of his difttnftion and regard, by creating him a knight of the Polar Star. It was no longer laudalur et a/get. His emoluments kept pace with his fame and honours : his practice in his profeflion became lucra¬ tive 5 and we find him foon after poffeffed of his coun¬ try houfe and gardens at Hammarby, about five miles from Upfal. He had moreover received one of the moft flattering teftimonies of the extent and magnitude of his fame that perhaps was ever ftiown to any lite¬ rary chara&er, the ftate of the nation which conferred it, with all its circumftances, duly ccnfidered. This was an invitation to Madrid from the king of Spain, there to prefide as a naturalift, with the offer of an an¬ nual peniion for life of 2000 piftoles, letters of nobi¬ lity, and the perfect free exercife of his own religion : But, after the moft perfeft acknowledgements of the Angular honour done him, he returned for anfwer, E a i that « L I N r 36 ] L I N Linn®us. < tliat i£ lie had any merits, they were due to his own L"—v--"' country.’ In the year 1755, the Royal Academy of Sciences at Stockholm honoured our profeffor with one of the firft premiums, agreeably to the will of Count Sparree, who had decreed two gold medals, of ten ducats value each, to be annually given by the academy to the au¬ thors of fuch papers, in the preceding year’s Stock¬ holm Afts, as fliould be adjudged molt ufeful in pro¬ moting agriculture particularly, and all branches of ru¬ ral economy. This medal bore on one fide the arms - of the count, with this motto, Superjies in fcientiis amor Frederici Sparree. Linnaeus obtained it in confequence of a paper De P/antis qua: Alpium Suecicarum indigence^, magno rei ceconomica et medicce emolumento fieri pofiint : and the ultimate intention was to recommend thefe plants as adapted to culture in Lapland, Ihis paper was inferted in the Stockholm A As for 1754, vol. xv. Linnteus alfo obtained the premium centum aureontm, propofed by the Imperial Academy of Sciences at Pe- terfburgh, for the bell paper written to eftablilh or dif- prove, by new arguments, the doftrine of the fexes of plants. It was, if pofiible, an additional glory to Lin-, nseus to have merited this premium from the Peterf- burgh academy } inafmuch as a profeflbr of that fo- ciety, a few years before, had with more than common zeal, although with a futility like that of the other antagonifts of our author, endeavoured to overturn the whole Linnaean fyftem of botany, by attempting to (how that the doArine of the fexes of plants had no foundation in nature, and was unfupported by faAs and experiments. It appears that Linnaeus upon the whole, enjoyed a good conftitution j but that he was fometimes fe- verely affliAed with a hemicraniay and was not exempt¬ ed from the gout. About the clofe of 1776, he was feized with an apoplexy, which left him paralytic j and at the beginning of the year 1777, he fuffered another ilroke, which very much impaired his mental powers. But the difeafe fuppofed to have been the more im¬ mediate caufe of his death, was an ulceration of the urinary bladder ; of which, after a tedious indifpofition, he died, January O. 1778, in the 71ft year of his age. —His principal other works, befide thofe already men¬ tioned, are. The Iter O'elandicum et Got/andicum, Iter Scanicum, Flora Suecica, Fauna Suecica, Materia Me- dica, Philofiophia Botanica, Genera Morborum, different papers in the ABa Upfialienfia, and the Amcenitates Aca¬ demic#. The laft of this great man’s treatifes was the Mantiffd Altera, publifhed in 1771 J but before his death he had finilhed the greateft part of the Mantifia Tertia, afterwards completed and publilhed by his Ion. To the lovers of fcience it will not appear ftrange, nor will it be unpleafant to hear, that uncommon re- fpeA was fhown to the memory of this great man. We are told, “ that on his death a general mourning took place at Upfal, and that his funeral proceffion was at¬ tended by the whole univerfity, as well profeffors as Undents, and the pall fupported by fixteen doAors of phyfic, all of whom had been his pupils.” The king of Sweden, after the death of Linnseus, ordered a me¬ dal to be ftruck, of which one fide exhibits Linnaeus’s bull and name, and the other Cybele, in a dejeAed at¬ titude, holding in her left hand a key, and furrounded 4 with animals and growing plants 5 with this legend, Linnams. Deam luBus angit amifii; and beneath, Pofi Obitum Up- ‘ lJ fialicCy die x. Jan. M.DCC.LXXVIII. Rege jubente.—The fame generous monarch not only honoured the Royal Academy of Sciences wdth his prefence when Linnaeus’s commemoration was held, at Stockholm, but, as a ftill higher tribute, in his fpeech from the throne to the af- fembly of the Hates, he lamented Sweden’s lofs by his death. Nor was Linnaeus honoured only in his own country. The late worthy profeffor of botany at Edinburgh, Dr Hope, not only pronounced an eulo- gium in honour of him before his ftudents at the open¬ ing of his leAures in the fpring 1778, but alio laid the foundation ftone of a monument (which he after¬ wards erefted) to his memory, in the botanic garden there \ which, while it perpetuates the name and me¬ rits of Linnaeus, will do honour to the founder, and, it may be hoped, prove the means of raifing an emulation favourable to that fcience which this illuftrous Swede fo highly dignified and improved. As to the private and perfonal charaAer of this il- luftrious philofopher : His ftature was diminutive and puny j his head large, and its hinder part very high j his look was ardent, piercing, and apt to daunt the be¬ holder \ his ear not fenfible to mufic j his temper quick, but eafiiy appeafed. Nature had, in an eminent manner, been liberal in the endowments of his mind. He feems to have been poffeffed of a lively imagination, correAed however by a ftrong judgment, and guided by the laws of fyftem. Add to thefe, the moft retentive memory, an unremit¬ ting induftry, and the greateft perfeverance in all his purfuits 5 as is evident from that continued vigour with w hich he profecuted the defign, that he appears to have formed fo early in life, of totally reforming and fa¬ bricating anew the whole fcience of natural hiftory j and this fabric he raifed, and gave to it a degree of perfeAion unknown before j and had moreover the un¬ common felicity of living to fee his own ftruAure rife above all others, notwithftanding every difcourage- ment its author at firft laboured under, and the oppofi- tion it afterwards met with. Neither has any writer more cautioufly avoided that common error of building his own fame on the ruin of another man’s. He every¬ where acknowledged the feveral merits of each author’s fyftem ; and no man appears to have been more fenfible of the partial defeAs of his own. Thofe anomalies which had principally been the objeAs of criticifm, he well knew every artificial arrangement muft abound with j and having laid it down as a firm maxim, that every fyftem muft finally reft on its intrinfic merit, he willingly commits his own to the judgment of pofte- rity. Perhaps there is no circumftance of Linnaeus’s life which (hows him in a more dignified light than his conduA towards his opponents. Difavowing controver- fy, and juftly confidering it as an unimportant and fruitlefs facrifice of time, he never replied to any, nu¬ merous as they were at one feafon. To all who fee the aid this extraordinary man has brought to natural fcience, his talents muft appear in a very illuftrious point of view j but more efpecially to thofe who, from fimilarity of taftes, are qualified to fee more diftinAly the vaft extent of his original defign, the greatnefs of his labour, and the elaborate execution he has given to the whole. He had a happy com¬ mand LIN [ 37 J LIN Llnrseus mand of the Latin tongue, which is alone the language i! of fcience j and no man ever applied it more fuccefsful- ly to his purpofes, or gave to defcription fuch copiouf- nefs, united with that precihon and concifenefs which fo eminently charafterize his writings. The ardour of Linnaeus’s inclinations to the ftudy of nature, from his earlieft years, and that uncommon ap¬ plication which he bellowed upon it, gave him a molt comprehenfive view both of its pleafures and ufefulnefs, at the fame time that it opened to him a wide field, hitherto but little cultivated, efpecially in his own country. Hence he was early led to regret, that the fludy of natural hiltory, as a public inftitution, had not made its way into the umverfities ; in many of which, logical difputations and metaphyfical theories had too long prevailed, to the exclulion of more ufeful feience. Availing himfelf therefore of the advantages which he derived from a large lhare of eloquence, and an animated llyle, he never failed todifplay, in a live¬ ly and convincing manner, the relation this lludy hath to the public good 5 to incite the great to countenance and protedl it ; to encourage and allure youth into its purfuits, by opening its manifold fources of plea- fure to their view, and Ihowing them how greatly this agreeable employment would add, in a variety of in- ftances, both to their comfort and emolument. His extenfive view of natural hiftory, as conne£led with al- moft all the arts of life, did not allow him to confine thefe motives and incitements to thofe only w’ho were defigned for the praftice of phyfic. He alfo laboured to infpire the great and opulent with a tafte for this fludy y and wifhed particularly that fuch as w'ere de¬ voted to an ecclefiaftic life fhould lhare a portion of na¬ tural fcience ; not only as a means of fweetening their rural fituation, confined, as many are, perpetually to a country refidence, but as what would almoll inevitably lead, in a variety of inllances, to difcoveries which on¬ ly fuch fituations could give rife to, and which the learned in great cities could have no opportunities to make. Not to add, that the mutual communication and enlargement of this kind of knowledge among people of equal rank in a country fituation, mull prove one of the llrongeft bonds of union and friendfliip, and contribute, in a much higher degree than the ufual perilhing amufements of the age, to the pleafures and advantage of fociety. Linnaeus lived to enjoy the fruit of his own labour in an uncommon degree. Natural hiftory raifed it- fielf in Sweden, under his culture to a ftate of per- feftion unknown elfewhere; and was from thence dif- feminated through all Europe. His pupils difperfed themfelves all over the globe : and, with their mafter’s fame, extended both fcience and their own. More than this, he lived to fee the fovereigns of Europe eftablilh feveral public inftitutions in favour of this ftudy; and even prefefforftiips eftabliftied in divers univerfities for the fame purpofe, which do honour to their founders and patrons, and which have excited a curiofity for the fcience, and a fenfe of its worth, that cannot fail to further its progrefs, and in time raife it to that rank which it is entitled to hold among the purfuits of mankind. LINNET. See Fringilla, Ornithology In¬ dex. LINSEED, the feed of the plant linum,—-Linfeed fteeped and bruifed in water gives it very foon a thick LlnfeeA mucilaginous nature, and communicates much of its H emollient virtue to it. See Linum. . lnt2‘ LINT. See Flax j Linen j and Linum, Botany Index. Lint, in Surgery, is the fcrapings of fine linen, ufed by furgeons in dreffing wounds. It is made into various forms, which acquire different names accord¬ ing to the difference of the figures.—Lint made up in an oval or orbicular form is called a pledgit; if in a cylindrical form, or in fhape of a date, or olive-ftone, it is called a dojjil. Thefe different forms of lint are required for many purpofes 5 as, I. To flop blood in frefti wounds, by filling them up with dry lint before the application of a bandage : though, if fcraped lint be not at hand, a piece of fine linen may be torn into fmall rags, and ap¬ plied in the fame manner. In very large haemorrhages the lint or rags fhould be firft dipped in fome ftyptic liquor, as alcohol, or oil of turpentine j or fprinkled with fome ftyptic powder. 2. To agglutinate or heal wounds j to which end lint is very ferviceable, if fpread with fome digeftive ointment, balfam, or vulnerary liquor. 3. In drying up wounds and ulcers, and for¬ warding the formation of a cicatrix. 4. In keeping the lips of wounds at a proper diftance, that they may not haftily unite before the bottom is well di- gefted and healed. 5. They are highly neceffary to preferve wounds from the injuries of the air.—Sur¬ geons of former ages formed compreffes of fponge, wool, feathers, or cotton j linen being fcarce : but lint is far preferable to all thefe, and is at prefent uni- verfaliy ufed. LINTERNUM, or Literum, in Ancient Geogra¬ phy, a city of Campania, fituated at the mouth of the Clanius, which is alfo called Liturnus, between Cumse and Vulturnum. It received a Roman colony at the fame time with Puteoli and Vulturnum; was improved and enlarged by Auguftus; afterwards forfeited its right of colonylhip, and became a prefeflure. Hither Scipio Africanus the Elder retired from the mean envy of his ungrateful countrymen ; and here he died, and was buried : though this laft is uncertain, he having a monument both here and at Rome. No veftige of the place now remains. LINTSTOCK, in military affairs, a wooden ftaff about three feet long, having a fharp point in one end and a fort of fork or crotch on the other; the latte/ of which ferves to contain a lighted match, and by the former the lintftock is occafionally ftuck in the ground, or in the deck of a (hip during an engage¬ ment. It is very frequently ufed in Imall veffels, where there is commonly one fixed between every two guns, by which the match is always kept dry, and ready for firing. LINTZ, a very handfome towm of Germany, and capital of Upper Auftria, with two fortified caftles j the one upon a hill, the other below it. Here is a hall in which the ftates affemble, a bridge over the Danube, a manufacture of gunpowder, and feveral other articles. It was taken by the French in 1741, but the Auftrians retook it in the following year. E. Long. 14. 33. N. Lat. 48. 16. Lintz, a town of Germany, in the circle of the Lower Rhine, and eleClorate of Cologne, fubjeft to- thafc. L I O C 38 1 ! X P Lint* that ele&oi'. It is feated on the river Rhine, in E. li Long. 7. I. N. Lat. 50. 31. Liotard. LINUM, Flax j a genus of plants belonging to ¥ ’ the pentandria clafs j and in the natural method rank¬ ing under the 14th order, Gruina/es. See Botany Index. LINUS, in claffical hiftory, a native of Colchis, cotemporary with Orpheus, and one of the moft an¬ cient poets and muficians of Greece. It is impoffible, at this diftance of time, to difcover whether Linus was the difciple of Orpheus, or Orpheus of Linus. The majority, however, feem to decide this queftion in favour of Linus. According to Archbilhop Uther, he flourilhed about 1280 B, C. and he is mentioned by Eufebius among the poets who wrote before the time of Mofes. Diodorus Siculus tells us, from Dionyfius of Mitylene the hiftorian, who was cotemporary with Ci¬ cero, that Linus was the firft among the Greeks who in¬ vented verfes and mufic, as Cadmus firft taught them the ufe of letters. The fame writer likewife attributes to him an account of the exploits of the firft Bac¬ chus, and a treatife upon Greek mythology, written in Pelafgian characters, which were alfo thofe ufed by Orpheus, and by Pronapides the preceptor of Homer. Diodorus fays that he added the ftring iichanos to the Mercurian lyre j and afcribes to him the invention of rhime and melody $ which Suidas, who regards him as the moft ancient of lyric poets, confirms. Mr Marpurg tells us, that Linus invented cat-gut firings for the ufe of the lyre, which, before his time, was only ftrung with thongs of leather, or with different threads of flax ftrung together. Fie is faid by many writers to have had feveral difciples of great renown $ among whom were Hercules, Thamyris, and, accord¬ ing to fome, Orpheus.—Hercules, fays Diodorus, in learning from Linus to play upon the lyre, being ex¬ tremely dull and obftinate, provoked his mafter to ftrike him $ which fo enraged the young hero, that in- ftantly feizing the lyre of the mufician, he beat out his brains with his own inftrument. LION, in Zoology. See Felis, Mammalia Index. LIONCELLES, in Heraldry, a term ufed for fe¬ veral lions borne in the fame coat of arms. LIOTARD, called the Turk, an eminent painter, was born at Geneva in 1702, and by his father was ctefigned for a merchant j but, by the perfuafion of his friends, who obferved the genius of the young man, he was permitted to give himfelf up to the art of painting. He went to Paris in 1725, and in 1738 accompanied the marquis de Puifieux to Rome, who was going am- baiTador to Naples, At Rome he was taken notice of by the earls of Sandwich and Befborough, then Lord Duncannon, who engaged Liotard to go with them on a voyage to Conftantinople. There he became ac¬ quainted with the late Lord Edgecumbe, and Sir Eve- *ard Fawkener, our ambaffador, who perfumed him to come to England, where he ftaid two years. In his journey to the Levant he had adopted the eaftem habit, and wore it here with a very long beard, It contributed much to the portraits of hirafelf, and feme thought to draw cuffomers j but he was really a paint¬ er of uncommon merit. After his return to the conti¬ nent, he married a young wife, and facrifteed his beard to Hymen. He came agwin to EngLnd in 1772, and brought a coltae&m of pictures of different maftersj a which he fold by auftion, and fome pieces of glafs Lit^ari painted by himfelf, with furprifing effedl of light and II . fhade, but a mere curiofity, as it was neceflary to . darken the room before they could be feen to advan¬ tage 5 he affixed, too, as ufual, extravagant prices to them. He ftaid here about two years, as in his former journey. He has engraved fome Turkifh portraits, one of the emprefs queen and the eldeft archduchefs in Turkifh habits, and the heads of the emperor and emprefs. He painted admirably well in miniature } and finely in enamel, though he feldom praclifed it. But he is beft known by his works in crayons. His likenefies were as exaft as poflible, and too like to pleafe thofe who fat to him ; thus he had great bufi- nefs the firft year, and very little the fecond. Devoid of imagination, and one would think of memory, he could render nothing but what he faw before his eyes. Freckles, marks of the fmallpox, every thing found its place } not fo much from fidelity, as becaufe lie could not conceive the- abfence of any thing that appeared to him. Truth prevailed in all his works, grace in very few or none. Nor was there any eafe in his outline ; but the ftiffnefs of a buft in all his por¬ traits, Walpole. LIP, in Anatorfvy. See there, N° 102. Hare-LlP, a diforder in which the upper lip is in a manner flit or divided, fo as to referable the upper lip of a hare, whence the name. See Surgery. LIPARA, in Ancient Geography, the principal of the iflands called JEolia, fituated between Sicily and Italy, with a cognominal town, fo powerful as to have a fleet, and the other iflands in fubjedlion to it. Ac¬ cording to Diodorus Siculus, it was famous for excel¬ lent harbours and medicinal waters. He informs us alfo, that it fuddenly emerged from the fea about the time of Hannibal’s death. The name is Punic, ac¬ cording to Bochart: and given it, becaufe, being a volcano, it (hone in the night. It is now called Li* pari, and gives name to nine others in its neighbour¬ hood viz. Stromboli, Pare, Rotto, Panark, Saline, Volcano, Fenicufa, Alicor, and Uftica. Thefe are called, in general, the Lipari Iflands. Some of thefe are acftive volcanoes at prefent, though Lipari is not. It is about 15 miles in circumference j and abounds in corn, figs and grapes, bitumen, fulphur, alum, and mi¬ neral waters. LIPARI, an ancient and very ftrong town, and capital of an ifland of the fame name in the Medi¬ terranean, with a bilhop’s fee. It was ruined by Barbaroffa in 1544, who carried away all the in¬ habitants into flavery, and demolifned the place $ but it was rebuilt by Charles V. E. Long. 15. 30. N. Lat, 38, 35. LiPARI, properly, is the general name of a clufter of iflands, Thefe, according to Mr Houel, are principally ten in number, the reft being only uninhabitable rocks of narrow extent. The largeft and the moft populous of them, that above mentioned, eoramunioates its name to the reft. Volcano is a defert but habitable ifland, lying fouth from the large ifland of Lipari. $alinesi which Res weft-nofth-wvft from the fame ifland \ Fe* licudi, nearly in the fame direction, but 20 miles farther diflant) and Alicudl, jo miles fouth-weft of Felieudi | are inhabited, Pannari is eaft of Lipari, the famous StvmboH liorth-eaft, and both of them are inhabited. L I P Lipari. The reft are in adefert ftate; fuch as Bacauv-z-zo, which was formerly inhabited; Atta/o, which might be inha¬ bited; and DExambianca, on which fome, remains of ancient dwellings are ftill to be found. L‘‘Efcanera is nothing but a bare. reck. The Fertnicoli, a word fignifying ants, are a chain of fmall black cliffs which run to the north-eaft of Li¬ pari, till within a little way of Lxambianca and Efca- nera, riling more or lefs above the water, according as the fea is more or lefs agitated. Ancient authors are not agreed with refpefl to the number of the Lipari illands. Few of thofe by whom they are mentioned appear to have feen them; and in places fuch as thefe, where fubterraneous fires ^burft open the earth, and raife the ocean from its bed, ter¬ rible changes muft fometimes take place. Volcanello and Volcano were once feparated by a ftrait, fo as to form two illands. The lava and allies have filled up the intervening ftrait •, and they are now united into one illand, and have by this change become much more habitable. The caftle of Lipari Hands upon a rock on the eaft quarter of the illand. The way to it from the city leads up a gentle declivity. There are feveral roads to it. This caftle makes a part of the city ; and on the fummit of the rock is the citadel, in which the go¬ vernor and the garrifon refide. The cathedral Hands in the fame fituation. Here the ancients, in confor¬ mity to their ufual practice, had built the temple of a tutelary god. This citadel commands the whole city; and it is accefllble only at one place. Were an hof- tile force to make a defcent on the ifland, the inha¬ bitants might retreat hither, and be fecure againft all but the attacks of famine. The ancient inhabitants had alfo fortified this place. Confiderable portions of the ancient walls are ftill ftanding in different places, particularly towards the fouth : Their ftru&ure is Grecian, and the ftones are exceedingly large, and very well cut. The layers are three feet high, which fhows them to have been raifed in fome very remote period. Thefe remains are fur- rounded with modern buildings. The remains of walls, which are ftill to be feen here, have belonged not only to temples, but to all the different forts of buildings which the ancients ufed to ere6L The vaults, which are in a better ftate of prefervation than any of the other parts of thefe monuments, are now converted to the purpofes of a prilbn. In the city of Lipari there are convents of monks of two different orders ; but there are no convents for women, that is to fay, no cloifters in which women are confined; thofe, however, vhofe heads and hearts move them to embrace a ftate of pious celibacy, are at liberty to engage in a monaftic life, with the concur¬ rence of their confeffors. They put on the facred ha¬ bit, and vow perpetual virginity, but continue to live with their father and mother, and mix in fociety like other women. The vow and the habit even enlarge their liberty. This cuftom will, no doubt, M. Houel obferves, appear very ftrange to a French woman ; but this was the w:ay in which the virgins of the primitive church lived. The idea of {hutting them up together did not occur till the fifth century. The life of thefe religious ladies is lefs gloomy than that which thofe un¬ der the fame vows lead in other countries. They wear. [ 39 1 LIP clothes of particular colours, according as they belong L'pad. to this or that order. Their drefs gives them a right to frequent the churches at any hours ; and the voice of cenfure, which takes particular pleafure in directing her attacks againft pious ladies, goes fo far as to affert, that fome young women affume the habit with no other views but that they may enjoy greater free¬ dom. In this ifland oxen of a remarkably beautiful fpecies are employed in ploughing the ground. The ancient plough is ftill in ufe here. The mode of agriculture pra£Hfed here is very expeditious. One man traces a furrow, and another follows to fow in it grain and pulfe. The ploughman, in cutting the next furrow, covers up that in which the feed has been fown : and thus the field is both ploughed and fown at once. Na¬ ture feems to be here uncommonly vigorous and fertile. Vegetation is here more luxuriant, and animals gayer and more healthful, than almoft anywhere elfe. Near the city of Lipari, the traveller enters deep narrow roads, of a very fingular appearance. The whole ifland is nothing but an affemblage of moun¬ tains, all of them confifting of afties or lava difcharged from the depths of the volcano by which it was at firft produced. The particles of this puzzolana, or afties, are not very hard; the aftion of the rain water has accordingly cut out trenches among the moun¬ tains ; and thefe trenches being perhaps lefs uneven than the reft of the furface, have of confequence been ufed as roads by the inhabitants, and have been ren¬ dered much deeper by being worn for fo many ages by the feet of men and other animals. Thefe roads are more than five or fix fathoms deep, and not more than feven or eight feet wide. They are very crooked, and have echoes in feveral places. You would think that you were walking through narrow ftreets without doors or windows. Their depth and windings {helter - the traveller from the fun while he is palling through them ; and he finds them delicioufly cool. The firft volcanic eruption in the Lipari iflands mentioned in hiftery, is that of which Callias takes no¬ tice in his hiftory of the wars in Sicily. Callias was - contemporary with Agathocles. That eruption con¬ tinued without interval for feveral days and nights; and threw out great ftones, which fell at more than a mile’s diftance. The fea boiled all around the ifland. The works of Callias are loft, and we know not whe¬ ther he defcended to a detail of particulars concerning the ravages produced by this eruption. Under the confullhip of ALmilius Lepidus and L. Aurelius O- reftes, 126 years before the Chriftian era, thefe iflands w'ere affefted with a dreadful earthquake. The burn¬ ing of y£tna was the firft caufe of that. Around Lipari and the adjacent iflands, the air was all on fire. Ve¬ getation was withered ; animals died ; and fufible be- dies, fuch as wax and refin, became liquid. If the inha¬ bitants of Lipari, from whom our author received thefe fa&s, and the writers who have handed down an ac¬ count of them, have not exaggerated the truth, we muft believe that the fea then boiled around die ifland; the earth became fo hot as to burn the cables by which veffels were fixed to the fhore, and confumed the planks, the oars, and even the fmall boats. Pliny, the naturalift *, fpeaks of another fimilar* Lib. iiY. event which happened 30 or 49 years afterwards, int:H>-i°& the % Ixlnari. LIP [ 4° ] LIP the time of the war of the allied ftates of Italy againft Rome. One of the iEolian illands, fays he, was all -on fire as well as the fea j and that prodigy continued to appear, till the fenate appealed, by a deputation, the wrath of the gods. From the time of that war, which happened 86 years before the birth of our Saviour, till the year 144 of our era, we have no account of any eruption of thefe volcanoes : and from that period again, till the year 1444,, we hear of no explofion from them, that is, for the fpace of 1300 years. But at that time both Sicily and the iEolian ifles were agi¬ tated by dreadful (hocks of earthquakesthe volcano of thefe ifles poured forth ftreams of lava with an aw¬ ful violence, and emitted a volume of flame and fmoke which rofe to an amazing height. After that it dif- charged enormous (tones which fell at the diftance of more than fix miles. A century later, in the year 1550, the fury of this volcano w^s again renewed. 1 he allies and ftones difcharged from the crater filled up the ftrait between Volcano and Volcanello. About two centuries after that, in the year i739> there was a fixth eruption. The burftings of the vol¬ canic fire were attended with a noife fo dreadful, that it was heard as far as Melazzo in Sicily. Father Leandro Alberti fays, that on one of thofe dreadful occafions, the women of Lipari, after im¬ ploring in vain all the faints, vowed to drink no more wine if the volcano ftiould fpare them. Their giv¬ ing up this fmall gratification was doubtlefs of great fervice, yet the eruptions ftill continue, and have even become more frequent fince that time. Only 36 years intervened between this eruption and that which happened in the year 1775* The whole ifland was then fliaken ; fubterraneous thunder was heard $ and confiderable ftreams of flame, with fmoke, ftones, and vttreous lava, iffued from the crater. Lipari was covered over with allies ; and part of thefe was con¬ veyed by the winds all the way into Sicily. Five years after, however, in the month of April 1780, there iflued a new explofion from Volcano j the fmoke was thick, the {hocks conftant, and the fubterraneous noife very frequent. So great was the confternation among the inhabitants of Lipari on this occafion, that the commander Deodati Dolomieu, who vifited thefe iflands not long after that event, informs us, that the inhabitants in general, but efpecially the women, de¬ voted themfelves as flaves to the fervice of the blefled virgin j and wore On their arms, as tokens of their fervitude, fmall iron chains, which they ftill continue to wear. This aft of piety, however, was not fo efficacious as the deputation of the fenate had been. For after that deputation, more than 200 years pafled before the jEolian ifles were afflifted by any other eruption, at lealt by any confiderable one: Whereas, in three years after the ladies devoted themfelves in fo fubmif- live a manner to the fervice of the virgin, the ifles of Lipari were agitated anew by that fatal earthquake which ravaged Calabria and part of Sicily, on the 5th of February 1783. The dry baths of St Calogero, in the ifland of Li¬ pari, are ftoves, where fulphureous exhalations, known to be of a falutary nature, afcend out of the earth by holes or fpiracles. A range of apartments are built around the place where the exhalations arife, Lipari. The heat is communicated through thofe apartments, ,r“ in fuch a way, that when entering at one end, you ad¬ vance towards the other, the heat ftill increafes upon you till you gain the middle apartment, and again di- minifties in the fame manner as you proceed from the middle to the other end of the range of chambers. In confequence of this difpofition of thefe apartments, the fick perfon can make choice of that temperature ■which beft fuits the nature of his difeafe. There are a few miferable huts and a fmall chapel for the accommo¬ dation of the people who repair to thefe baths. The people of the place are ready to attend them. Phyfi- cians likewife follow their patients thither, when the difeafe is of fuch a nature as to render their attendance requifite, and the patient rich enough to afford them handfome fees : but there is no phyfician fettled in the place. Befides thefe dry baths, there are baths of hot water diftinguifhed by the name of St Cahgero's bath. There are around them buildings fufficient to lodge a confiderable number of fick people with their neceflary attendants. At prefent, however, thofe buildings are but in a bad condition. The baths conflft of two halls j one fquare, the other round. The former is antique j it has been built by the Romans j it is arched with a cupola, and 12 feet in diameter $ it has been repaired : The other is like¬ wife arched with a cupola both within and without. The water comes very hot into the firft. It gullies up from among pieces of lava, which compofe a part of the mountain at the foot of which thefe baths are built. Thofe ftones remain in their natural ftate. All that has been done is the railing of a fquare building encloling them. Within that building the fick per-, fons either fit down on the ftones, or immerfe them¬ felves in the intervening cavities which are filled with •water. They continue there for a certain time, and approach nearer to, or remain at a farther diftance from the fpring, according as their phyfician direfts. The place ferves alfo as a ftove. The hot vapours arifing from the water communicate to the furround¬ ing atmofphere a confiderable degree of heat. It is indeed not inferior to that of the hot baths of Ter¬ mini, which owe their heat to a fimilar caufe. In thefe baths, therefore, a perfon can have the benefit either of bathing in the hot w ater, or of expofing him- felf to the vapour, the heat of which is more mode¬ rate. The bath before mentioned, under the appella¬ tion of dry bath, is alfo a ftove ; but the hot vapour with which it is filled iffues dire&ly from the volcano. The place of the bath is, however, at fuch a diftance from the volcanic focus, that the heat is not at all in¬ tolerable. The mountain at the foot of which thefe baths are fituated is round, and terminates at the fummit in a rock of petrified alhes, which are very hard and of a very fine grain. This petrification confifts of pretty regular ftrata, and appears to have been greatly prior in its origin to the adjacent rocks j which confift like¬ wife of allies, but alhes that have been depofited at a much later period. From this rock there proceeds likewife a ftream of hot water, by which fome mills in the neighbourhood are moved. It cannot but appear furprifing, that nature has placed nearly on the fummit of a volcanic mountain fprings r LIP [ 41 ] ‘ LIP Lipari. fprings wliich fupply fo confiderable a quantity of wa- • v / ter. To account for fuch a phenomenon would be well worthy of fome ingenious natural!ft. Nor are thefe hot fprings all 5 proceeding around the fame hill, at about a mile’s diftance, we find a fpring of cold water rifing from the fummit of the fame rock, which on the north-weft produces three hot fprings. The cold water is very pleafant to drink, and much ufed both by men and cattle. Among thefe mountains there are many enormous loofe maffes of lava, the appearance of which, M. Houel informs us, naturally leads the obferver to take notice, that the lava of the volcano of Lipari is of a much greater diverfity of colours, and thofe richer and more lively, than the lava of Vefuvius and iEtna. The lava of Lipari is in fome places, for feveral miles, of a beautiful red colour. It contains likewife in great abundance fmall black cryftallized fcoriae, as well as the fmall white grains which are commonly found in lava. Among the eminences which overlook the city of Lipari, there are fome rocks of a fpecies which is very rare in Europe. Thefe are large mafies of vitrified matter, which rife fix or eight feet above the furface of the ground, and appear to extend to a great depth under it. They exift, through that range of moun¬ tains, in enormous maffes, mixed with lavas of every different colour, and always Handing detached and in- fulated. Were they cut and followed under ground, they would probably be found to exift in immenfe quarries in the bowels of the earth. The glafs of which they confift might be employed with great ad¬ vantage in manufa&ures. It is ready made, and might be eafily purified. It is green, compaft, and tranf- parent. The cultivation of the ground is the chief employ¬ ment of the inhabitants of Lipari. The poffeffion of a few acres of land here gives a man great importance. Parents, when they fettle their children, rather give them money than any part of their lands. More than two-thirds of the ifland is planted with vines : three-fourths of the grapes which thefe produce are dried, and fent moftly to London under the name of pajjola. There are different forts of paffola : one of thefe, called the black pajjblina^ is prepared from a particular kind of grape, of which the berries are un¬ commonly fmall j and fold to Marfeilles, Holland, and - Triefte. The vines are in fmall arbours, which rife only to the height of two feet and a half above the ground. Under thofe arbours there growr beans, gourds, and other leguminous vegetables. In fo hot a climate, the fhade of the vines does not injure but proteft the vegetables growing under it : they would othervvife be withered by the heat of the fun. The method of preparing paffola and paffolina is curious enough : They firft make a lixivium of com¬ mon allies ; after boiling this, they pafs it through a cloth or a fieve j they then put it again on the five; and when it is obferved to boil hard, fuddenly immerfethe grapes, but inftantly bring them out again, and ex- pofe them to the fun to dry on broad frames of cane. When fufficiently dry, the raifins are put into calks and barrels to be fold and exported. The number of calks of different forts of raifins annually exported from Lipari are eftimated at 10,000. VOL. XII. Part I. This illand likewife produces figs. There is fome Lipan white malmfey and a little red wine exported from it. . ^ . About 60 or 80 years fince, fulphur was one of the . .^1L articles with which the inhabitants of this illand fup- plied foreign merchants. But that trade has been given up, from an idea which the Liparefe entertain, that fulphur infefts the air fo as to injure the fertility of the vines. The fame prejudice prevails in Sicily, but it feems to be ill founded. There are courts of juftice in Lipari of the fame powers and charafter with thofe in the cities of Sicily. Caufes of more than ordinary importance are carried to Palermo. The illand is entirely free from every kind of im~ polition. The king receives nothing from it j becaule Count Roger anciently bellowed on its bilhop all his rights of royalty over Lipari. The bilhop there re¬ ceived annually from the inhabitants a tenth part of the produ£ls of their lands. They afterwards, to pre¬ vent fraud, eftimated the value of that tithe for one year $ and on the condition of their paying in future a fum of money equal to what that year’s tithe was va¬ lued at, he not only gave up his right to the tithe, but alfo ceded to them a confiderable extent of land which belonged to him. In the archiepifcopal palace, and in the palace of the Baron de Monizzio, there are fome noble pieces of painting by Sicilian painters :—A St Peter, a St Ro- falia, Jefus difputing with the Jewilh doftors, the adul¬ terous woman, the incredulity of St Thomas. LIPOTHYMIA, Fainting, may arife from feve¬ ral caufes; as too violent exercife, luppreflion of the menfes or other accuftomed evacuations, &c. See Me¬ dicine Index. L1PPA, a town of Hungary, with a caftle. It was taken by the Turks in 1552 } by the Imperialifta in 16885 and by the Turks again in 16915 who aban¬ doned it in 1695, after having demolilhed the fortifi¬ cations. It is feated on a mountain, in E. Long. 2\. 55. N. Lat. 36. 5. LIPPE, the capital of a county of the fame name in Germany, and the circle of Weftphalia. It is feat¬ ed on a river of the fame name, and was formerly the refidence of the principal branch of the houfe of Lippe. It is now in the poffeffion of the king of Prullia, and carries on a good trade in preparing timber for build¬ ing veffels on the Rhine, with which it has a commu¬ nication by the river Lippe. The country round it is unwholefome and marlhy. E. Long. 8. 12. N. Lat. 51* 43* LIPPI, Lorenzo, a painter of hiftory and portraits, was born in 1606, and learned the principles of paint¬ ing from Matteo Rofelli. He had an exquifite genius for mufic and poetry, as well as for painting, and in the latter his proficiency was fo great, that fome of his compofitions in the hiftoricai ftyle were taken for thofe of Rofelli. However, growing at laft diffatisfied with the manner of that matter, he chofe the manner of Santi di Titi, who was excellent both in defign and invention, and appeared to have more of fimple nature and truth in his compofitions than any other artift of that time. At Florence Lippi painted many grand defigns for the chapels and convents, by which he en¬ larged his reputation ; and at the court of Infpruck, he painted a great number of portraits of the firft no- F- bility. % •• LIS [ 42 1 LI S Lippi bility, which were defervedly admired. Yet, although IJ he was fond of imitating Ample nature without any em~ bellifcnients from invention, his works are held in the higheft efteem for the graceful airs of the heads, for the correftnefs of his outline, and for the elegant dii- pofition of the figures. He died in 1664. LIPSIUS, Justus, a learned critic, was born at Ifch, a fmall village near Bruflels, in 1547. After having diftinguilhed himfelf in polite literature, he be¬ came fecretary to Cardinal de Granvellan at Rome, where the bell libraries were open to him ) and^ he fpent much labour in collating the MSS. of ancient authors. He lived 13 years at Leyden 3 during which he compofed and publilhed what he eileems his bell works ) but fettled at Louvain, where he taught polite literature with great reputation. He was remarkable for unlleadinefs in religion, fluftuating often between the ProteRants and Papifts j but he became finally a bigoited catholic. He died at Louvain in 1606 j and his works are collecled in fix volumes folio. LIQUEFACTION, an Operation by which a folid body is reduced into a liquid by the action of heat. See Fluidity, Chemistry fot/ex.. LIQUID, a body which has the property of fluidi¬ ty, as water, mercury, &c. See tluid. Liquid, among grammarians, is a name applied to certain confonants oppofed to mutes. Thus 1, rn, n, and r, are liquids. LIOUIDAMBAR, Sweet-gum-tree, a genus of pi a n tspb el on g i n g to the monoecia clafs ; and in the na- turaPmethod ranking with thofe of which the order is doubtful. See Bota>y Iwkx. LIQUOR, a name for any fluid fubilance of the aqueous or fpirituous kind. The principal beverage amongft the Jews, as well as the Greeks and Romans, in their early Hate, was wa¬ ter, milk, and the juices of various plants infufed therein. For a long time, under the commonwealth of Rome, wine was fo fcarce, that in their facrifices to the gods the libations were made with milk only. Wine did not become common there till A. U. C. 600, when vines began to be planted- Liquor of Flints. See Chemistry, N° 1450. Smoking Liquor of Libavius. See Chemistry, N° 1809. Mineral Anodyne LlQUOR of Hoffman. This is a compofition of highly rectified fpirit of. wine,. vitriolic ether, and a little of the dulcified oil of vitriol. See Chemistry, N° 84q. LIQUORICE. See Glycyrrhiza, Botany and Materia Medic a Index. LIRI ODENDRON, the Tulip tree, a genus of plants belonging to the polyandria clafs, and in the na¬ tural method ranking under the 52d order, Coadunatee. See Botany Index. LIS, or Lys, John Vandsr, painter of hiflory, landfcapes, and converfations, was born at Oldenburgh in 1 570, but went to Haerlem to place himftlf as a difciple under Henry Gohziusp and as he was endowed with great natural talents, he form diilinguilhed him¬ felf in that fchool, and imitated the manner of his ma¬ iler with great fuccefs. He adhered to the fame flyle till he went to Italy ; where, having vifited Venice and Rome, he ftudied the works of Titian, Tintoretto, Paolo Veronefe, and Domenico Fetti, fo effe&ually, 2 that he improved his tafle and judgment, and altered his manner entirely. He foon received marks of public ^llfbon' approbation } and his compofitions became univerfally v admired for their good expreffion, for their lively and natural colouring, and the fweetnefs and delicacy of his pencil: although it muR be acknowledged, that he could never totally diveR himfelf of the ideas and tafle peculiar to the Flemings. His fubjefts ufually were hiftories taken from the facred writings, or the repre- fentations of rural fports, marriages, balls, and villagers dancing, dreffed in Venetian habits ; all which fubjeds he painted in a fmall as well as a large fize, with a number of figures, well defigned, and touched with a great deal of delicacy. He was like wife accounted to paint naked figures admirably, with natural and elegant attitudes, and a very agreeable turn of the limbs. A capital pi dure of this mailer is, Adam and Evy lamenting the death of Abel ; which is extremely ad¬ mired, not only for the expreffion, but alio for the beauty of the landfcape : and in the church of St Ni¬ cholas at Venice is another of his paintings, reprefent- ing St Jerome in the deiert, with a pen in his hand, and his head turned to look at an angel, who is fuppofei to be founding the lall trumpet. The colouring of this pidure is rather too red ; but it is defigned in a fine Ryle, and charmingly penciled. The paintings oi this mailer are very rarely to be purchafed. He died in 1620. Lis, John Vander, of Breda, hiflorical painter, was born at Breda about the year 1601, and became a diL ciple of Cornelius Polemburg, whofe mariner he imitated with extraordinary exadnefs, in the tint of his colouring, his neatnefs of penciling, and the choice of his fubjed;*; There are feme paintings of this mailer’s hand, which', though they appear to have fomewhat lefs freedom and lightnefs of touch, are nearly equal to thofe of Polem¬ burg, and are frequently taken to be his. At Rotterdam*, in the poffeffion of Mr BilTchop, there is a delicate; painting reprefenting Diana in the bath, attended by her nymphs ; and his moll capital performance, in England, is faid to be in the pofieffion of the vifeount Middleton. The portrait of Vander Lis, painted by himfelf, is in the poffeffion of Horace Walpole, Efq. which is deferibed by that ingenious gentleman as be¬ ing worked up equal to the fmoothnefs of enamel. LISBON, the capital of the kingdom of Portugal, fituated in the province of EAremadura, on the banks of the river Tagus, in W. Long. 91 25. N. Lat. 38. 25, It was anciently called Qiifpo, Ohjippo, and JJ/yfipo^ which are fuppofed to be derived from the Phenician Vlifubbo or Olijippo, fignifying in that tongue apltafant bay, fuch as that on which this city Rands. It firil be¬ came confiderable in the reign of King Emanuel j from that time it has been the capital of the kingdom, the refidsnee of its manarchs,, the feat of the chief tribu¬ nals and offices of the metropolitans, a noble univerfity, and the receptacle of the richeft merchandife of ths Eaft and Weft Indies. Its air is excellent-, being re- freftied by the delightful fea breezes, and thole ot the Tagus. The city extends for about two miles along the Tagus*, but its breadth is inconfiderable. Like old Rome, it Hands on feven hills : but the ft reels in gene¬ ral are narrow and dirty, and foive of them are very fteep', neither are they lighted at night. The churches, in general, are very fine y but the magnificence of ths chapel C Lifaon II Lifla. LIS [4 chapel royal is amazing. Here is one of the fineft harbours in the world*, and there were a great number , not only of fine churches and convents here, but alfo of other public buildings, and particularly of royal pa¬ laces, and others belonging to the grandees ; but the greatelt part of them, and of the city, were defiroyed by a molt dreadful earthquake, on Nov. 1. 175 c, from which it will require a long time to recover. The inhabitants, before the earthquake, did not at molt esceed 150,000. The government of it is lodged in a council, confiding of a president, fix counfeliors, and other inferior officers. The harbour has water enough for the larged dups, and room enough for ic,ooo fail without being crowded. For its fecurity, there is a fort at the mouth of the river, on each fide, and a bar that runs acrofs it, and is very dangerous to pafs with¬ out pilots. Higher up, at a place where the river is eonfiderably contra&ed, there is a fort called Torre de i?e/(?OT, or the Tower of Be/em, under whofe guns ail fhips mud pafs in their way to the city ; and on the ether fide are feveral more forts. Before the earth¬ quake, mod of the private houfes were old and un- fightly, with lattice windows j and the number of con¬ vents and colleges amounted to 50, namely, 32 for monks, and 18 for nuns. The king’s principal palace dands on the river, and is large and commodious. Of the hofpitals, that called the Great is obliged to re¬ ceive all perfons, of what degree, nation, or religion foever, without exception. At the village of Belem, near Liffion, is a noble hofpital for decayed gentlemen who have ferved the king, and have not wherewithal to maintain tkemfelves. That called the Houfe of Mercy is alfo a noble charity. In the centre of the city, upon one of the highed hills, is the cadle, which com¬ mands the whole, being large and ancient, and having always a garrifon of four regiments of foot. The cathedral is a vad edifice of the Gothic kind, but heavy and clumfy : it contains, however, great riches $ and is finely adorned within. The fquare called Rojfio is large, and furrounded with magnificent buildings. The whole city is under the ecclefiadical jurifdiftion of the patriarch, who was appointed in the year 1717. Here is alfo an archbiffiop, who has, or at lead had, before the ereflion of the patriarchate, a revenue of 40,000 crufadoes, or 6000I. The univerfity, which was removed for fome time to Coimbra, but afterwards Fedored to its ancient feat, makes a confiderable figure, though much inferior to that of Coimbra. LISBURN, a town of Ireland, in the county of Antrim and province of Ulder, 73 miles from Dublin. It was burnt down about 50 years ago; but is now rebuilt in a neat and handfome manner, and has a large linen manufa&ory. It is feated on the river Laggan, in W. Long. 6. 20. N. Lat. 54.31. It gives title of earl to the family of Vaughan, and formerly return¬ ed two members to parliament. LISIEUX, a confiderable town of France, in Up¬ per Normandy, with a bifhop’s fee. The churches and religious houfes, and the biffiop’s palace, are all very handfome ftruftures. It is a trading place 5 and is feat¬ ed at the confluence of the rivers Arbeck and Gaffi, in E. Long. o. 20. N. Lat. 49. 11, LISLE, a large, rich, handfome, and drong town of French Flanders, of which it is the capital, with a £rong caftle, and a citadel built by Vauban, and faid ] L I S to be the fined in Europe, as well as the bed fortified. The larged fquare, and the public buildings, are very handfome j and they have manufactures of filks, cam¬ brics, and camblcts, as well as other duffs, which have been brought to great perfection. It was taken by the duke of Marlborough, after three months fiege and the lofs of many thoufands of men, in 1708, but reftored to the French by the treaty of Utrecht, in confid'ration of their demoliffving the fortifications of Dunkirk. It was befieged by the Andrians in 1792, who on the 29th of September began a heavy cannon¬ ading againd it, which continued inceflant till the 6th of O(Sober, when they were obliged to raife the fiege, after having thrown into the city about 30,000 red-hot balls, befides 6000 bombs. It is feated on the river Duele, 14 miles weft of Tournay, 32 fouth-weft of Ghent, 37 north-weft of Mons, and 130 north of Paris. E. Long. 3. 9, N. Lat. 50. 83. Lisle, Jofeph Nicholas de, an eminent aftronp- mer and geographer, was born at Paris in the year 1668. His father having taught him the principles of grammar, he afterwards attended leftures in tne Maza¬ rine college, where he delivered his rhetorical exercifes in 1706. A total eclipfe of the fun having taken place on the 12th of March that year, his tafte for mathematics was thus difeovered, and he was accord- ingly placed under a proper tutor, who taught him th© elements of geometry, fortification and mechanics $ but his favourite ftudy was the fcience of aftronomy. In 1707 he was offered the place of an engineer at Martinico, which made him acquainted with the artoi drawing, an acquifition which proved highly ufeful to him in his geographical labours, and alio in the ftudy of aftronomy. His father having got a copy of An Account of a Voyage to the South fea from his Ton’s mafter, young de Lide was excited by the perufal of it to the ftudy of natural hiftory, and he began to make colle&ions of infetts, and Iketch their varieties ; but being afterwards perfuaded that fo extenfive a dudy, requiring fuch immenfe colleftions to be made as he found in Aldrovandus, was wholly incompatible with that unremitting attention which his favourite foience required, he relinquiffied it accordingly. The atten¬ tion he paid to aftronomical refearches was fo great, that he was confidered as meriting the correfpondence. of fome of the ableft aftronomers of Europe at the early age of 21. In 1709 he made a wooden quadrant, which he divided with the utmoft accuracy, and which anfwered the intended purpofe in his early obfervations. He likewife conftru&ed a table for M. Caffini, of the right afeenfions and declinations, adapted to all the de¬ grees of latitude and longitude of the planets, and the obliquity of the ecliptic ; this table was made ufe of by M. Caffini in foretelling the occultations of the ftars by the moon. De Lille being informed by Caffini in 1710 of his method of reprefenting an eclipfe of the fun, by the proje&ion of a terreftrial parallel on a plane ; he in- ftantly conceived the idea of applying it to every part of the earth, by means of a globe mounted and pre¬ pared for that purpofe. Such aftronomers as he made acquainted with his projeft, conceived it to be imprac¬ ticable *, but when the machine was completed, they beftowed the higheft encomiums on the noble invention. The firft memorable obfervation made by de Lide was F 2 that JLi3e. « * LIS [ 44- 1 LIS that of the moon, on the 23d of January 17^2, alter which his labours experienced fome interruption from bodily indilpoiition. About this time the fituaticn ot his father’s numerous family rendered it nectifary that he thould provide for himfelf, lo that he was obliged to make his aftronomical knowledge lubfervient to the ab- furdities of aftrology, receiving pecuniary pretents from the regent for his fervices. He received alio in 1715 t^ie grant of a penlion of 600 livres, on which occalion he calculated tables of the moon according to the Newto¬ nian theory, prior to Halley’s communications to him, ■which were printed in 1719* -^e Lille vas cholen a member of the Academy of Sciences in 1714, on which account his exertions were redoubled. In 17 20 he delivered a propofal to the academy for ascertaining in France the figure of the earth, a defign which was carried into execution fome years aiterw ards. In 1723 he delivered to the fame academy a memoir on the tranfits of Mercury, wherein a method of calcu¬ lating them was propofed by him, the way in which they were to be obferved, and the inferences to be de¬ duced from thefe obfervations. He propoltd the ufe of the quadrant in obferving the tranfits of Venus and Mercury, which has been found fuperior to any other inftrument for that important purpofe, and is fanc- tioned fince his day by the pra&ice of the ablefl ahro- nomers. Our diftinguilhed philofopher came over to England in the year 1724, where he became acquainted with Newton and Halley, and had the honour of obtaining their approbation. Newton made him a preient of his own portrait, and Halley gave him a copy of the tables which he had publilhed in 17I9' Lie was alfo created a member of the Royal Society, and he enjoyed fimilar honours from every literary fociety in Europe before his death. In 1721 he received an invitation from Peter the Great to go to Peterfburgh, to fill the chair of aftronomer in the Imperial Academy of Sciences. On the death of that emperor, his fucceffor Catharine renewed the invitation, offering him a confiderable pen- lion, of which he accepted, and, in 1726, fet out for Peterlburgh, accompanied by his brother Lewis andM. Vignon-, who were to aft as his alfiftants. He reached Peterfburgh in the month of Oftober, and was elta- blilhed in the obfervatory erefted by Peter the Great, which he occupied for 21 years. It was in every refpeft commodious, but extremely deficient in aftrono- mical apparatus, which his own ingenuity and indefati¬ gable application in a great meafure fupplied. A tranfit of Mercury over the fun’s difc was expeft- ed in the year 1740* which would not be vifible in Europe, and therefore de Lille undertook a journey to the diftant regions of Alia j but after travelling through the inhofpitable w ilds of Siberia, the cloudinefs of the atmofphere prevented him from obferving the tranlit,—* a mortification which he endeavoured to fupport by his geographical and phyfical remarks, and in drawing up a defcription of the country. He conftrufted an in- terefting map of Ruflia, affifted by his brother Lewis, who was appointed to make obfervations in the moft diftant parts of that immenfe empire. He wras occafion- ally employed for the long period of forty years, in jnaking meteorological obfervations, which he executed with an accuracy almoft incredible. After a number of difcouragements and difficulties, and the irregular paymentofhis penfion, had been long t experienced by de Lille at Peterlburgh, he returned diigufted to his native place, and was cbolen profelfor of mathematics at the college-royal, where he did the moft ellential fervice to the fciences, by the important initruftions which he gave to his numerous pupils, many of whom became aiterwards the moft diftinguilh¬ ed charafters, Rich as M. M. de la Lande and Mef- lier. When the tranfit of Mercury over the fun was ea¬ gerly exptfted in 1753 by the greateft aftronomers, de Lille publilhed an interefting map of the world, repre- fenting the effeft of Mercury’s parallaxes in different countries, that fuch places might be known as were proper for making thole obfervations on the tranfit as might determine the diftance of the lun. As the ap¬ parent orbit of the planet traverfed nearly the centre of the fun, de Lille made ufe of this eircumltance to de¬ termine the diameter of that luminary. The laft work of our author which was inferted in the volumes of the French academy, was a memoir on the comet which appeared in the year 1738, difcovered by a peafant in the vicinity of Drefden. It may perhaps be afferted with juftice, that the moft; important fervice which this great man rendered to af¬ tronomers was, his correftion of the double error of Halley refpefting the tranfit of Venus, looked for in the year 1761, as by this means he prevented many learned men from undertaking long voyages in order to obferve it. About the year 1754, de Lille was ap¬ pointed by the king of France, aftronomical geogra¬ pher to the marine, in which capacity he was to colleft plans and journals of naval captains, to arrange them methodically, and to make extraftsfrom them of what¬ ever might be beneficial to the fervice. About the year 1738 he withdrew into quiet retirement at the ab- bev of St Genevieve, where much of his time w as fpent in devotional exercifes, and in afts of charity and bene¬ ficence. Still, however, he continued to profecute thofe ftudies which had been fo dear to him during the eatiitm part of his life; but in 1768 he was feized with a fcorbutic complaint, of which he was cured by his me- . dieal friends; but in the month of September the fame year he w:as feized with a fpecies of apoplexy, which carried him off on the 11th day of that month, in the 81ft year of his age. His extraordinary merit as a man of fcience may in fome meafure be gathered from this concife account of his life *, and as a citizen of the world his piety was unaffefted, his morals pure, his integrity undeviating, his fpirit generous and difinterefted, and his whole manners highly amiable. The only publication of our author’s, beiides thofe already mentioned, confifted of “ Memoirs illuftrative of the Hiftory of Aftronomy,” in two volumes 410. Lisle, Sir Jo/in, a brave loyalift in the time of the civil wars, was the fon of a bookfeller in London, and received his education in the Netherlands. He fignalized himfelf upon many occafions in the civil war, particularly in the laft battle of Newbury ; where, in the dulk of the evening, he led his men to the charge in his ffiirt, that his perfon might be more confpicuous. The king, who was an eye-witnefs of his bravery, knighted him on the field of battle. In 1648, he rofe for his majefty in Effex j and was one of the royalifts LIS [45] LIS L’lsle, who To obtHnalely defended Colchefler, and who died Lifraore. for defence of it. This brave man having tender- v ly embraced the corpfe of Sir Charles Lucas, his de¬ parted friend, immediately prefented himfelf to the jfoldiers who Hood ready for his execution. Thinking that they flood at too great a dillance, he defired them to come nearer: one of them faid, “ I warrant you, Sir, we fhall hit you.” He replied with a fmile, “ Friends, I have been nearer you when you have milled me.” He was executed Auguft 28. 1648. LiSMORE, one of the Weflern iflands of Scot¬ land, feated at the mouth of Loch Linnhe, an arm of the fea in Argylelhire, navigable for the largeft (hips to Fort William, which is in the country called Locha- ber. This ifland is io miles in length by one in breadth j and contains above 1000 inhabitants. It abounds in liraeflpne, which forms a fine loamy and very fertile foil, yielding rich crops of barley. This ifland was for¬ merly the refidence of the bifhop of Argyle, from which he was frequently named Epifcopus Liftnorenjis. Great part of the cathedral yet remains, and part of it is ftill employed as the parifh church. The bifhop’s caflle Hands four miles from the cathedral ; the walls are yet pretty entire. There are feme vefliges of for¬ tified camps, and an old caflle with a ditch and draw¬ bridge, which, it is laid, were ere&ed by the Danes. Lismore, a borough town of Ireland, in the county of Waterford, and province of Munfler, 100 miles from Dublin \ N. Lat. 52. 5. W. Long. 7. 50. It was anciently called Lejfmore or Lias-more, i. e. the great enclofure, or habitation j it is now a bifhopric, and formerly had an univerfity. St Carthagh or Moehuda, in the beginning of the feventh century, founded an abbey and fehool in this place, which in a fhort time was much reforted to, not only by the natives, but alfo by the Britons and Saxons, during the middle ages. According to an ancient writer of the life of St Carthagh, Lifmore was in general inhabited by monks, half of it being an afylum into which no wo¬ man dared enter; confuting entirely of cells and mo- naileries, the ruins of which, with feven churches, are yet vifible. A caflle was built here by King John. The fke of Lifmore was in early ages denominated magh Jkia, or the “ chofen fliield,” being the fituation of a dun or fort of the ancient chieftains of the Decies, one of whom granted it to St Calthagh on his expul- fion from the abbey of Ratheny in Weftmeath. On becoming an univerfity, Math Sgiath obtained the name of Dunfginne, or the “ fort of the Saxons,” from the number of Saxons who reforted thereto ; but foon after, it was called Lios.more or Lefs-more, and now Lifmore ; the bifhopric of which was united to that of Waterford in 1363, being 730 years after its foundation. J. he public road to Cork was formerly through this place, and at that time it had a better face of buflnefs. St Carthagh, who retired to this place with fome of his religious in 636, to avoid the fury of the then Irifh monarch, tied his difeiples to a mofl flri61 rule of life; they never were allowed the ufe of flefh, fifh, or fowl ; only the vegetables that the ground produced at the expence of their own la¬ bour. Father Daniel, in his Hiftoire Monajlique, men¬ tions one on the fame foundation in France. The caflle here, which, as we have formerly mentioned, was built by King Jehn, was ere&ed in 1195 on the ruins of the abbey of St Carthagh ; it belonged to the duke of Devonfhire, and gave birth to the great philofopher Robert Boyle. In 1189 it was demolifhed by the > Irifh, who took it by furprlfe. Being afterwards re- edified, it was for many years an epifcopal refidence, till Myler Magrath, archbifhop of Cafhel, and bifhop of this fee, granted the manor of Lifmore to that no¬ ted fcholar and foldier Sir Walter Raleigh, in the reign of Queen Elizabeth, at the yearly rent of 13I. 6s. 8d. j but that ellate was lopped oil with his head in the reign of King James I. After which it fell into the hands of Sir Richard Boyle, who purebafed all Sir Walter’s lands ; he beautified the whole, and added many buildings to it, moft of which were burned down in the Irifh rebellion ; at the breaking out of which, it was clofely befieged by 5000 Irilh commanded by Sir Richard Beling, and was well defended by the young Lord Broghill, third fon of the earl of Cork, who obliged them to raife the fiege. The caftle is bold¬ ly feated on the verge of a rocky hill, riling almoft per¬ pendicularly to a confiderable height over the river Blackwater. The entrance is by an ancient and ve¬ nerable avenue of trees. Over the gate are the vene¬ rable arms of the fir ft earl of Cork. Oppofite to the en¬ trance is a modern portico of Bath ftane, of the Doric order, defigned by Inigo Jones. Moft of the buildings have remained in ruins ftnee the era of the rebellion ; but the feveral offices that make up two fides of the fquare are kept in repair. At each angle is a tower, the chief remains of its former magnificence. In Oc¬ tober 1785, the late duke of Rutland, then lord-lieute¬ nant of Ireland, whilft on a tour in Munfter, held a council in, and iflued proclamations from this caftle. The cathedral is ftill pretty well kept in repair. Here is a fine bridge over the river Biackwater, eredted at a very great expence by the duke of Devonfhire : this bridge is remarkable for the extent of the principal arch, the fpan of it being 102 feet. Below the town is a rich fiihery for falmon, which is the greateft branch of trade here. Though this place is at prefent much reduced, yet Cambrenfis informs us, that, not many years after the conqueft, this was a very rich city, and held out fome time againlt the Engliftr, who took it at laft by ftorm, and gained rich plunder here, enough to load 16 fail of (hips. LISSA, an ifland in the gulf of Venice, on the coafl: of Dalmatia, belonging to the Venetians, where they have a fiftiery of fardines and anchovies. It produces excellent wine, and is 70 miles weft; of Raguia. E. Long. 17. o. N. Lat. 43. 22. Lissa, a town of Poland, in the palatinate of Pofna, of which it is the capital. E. Long. 16. o. N. Lat. 32. 15- . Lissa, a village of Silefia, 16 miles from Breflau, remarkable for a battle fought between the Pruffians and the Auftrians on the 15th of December 1757, when the latter were entirely defeated. LISSUS, in Ancient Geography, the laft town of Illyricum, towards Macedonia, fituated on the Drilo. It had a capacious port, the work of Dionyfius the Tyrant, who led the colony thither, enlarged and wall¬ ed it round, (Diodorus Siculus). Now called AleJJio^ in Albania, on the Drino, near the gulf of Venice. E. Long. 20. N. Lat. 42. LIST, in commerce, the border of cloth or fluff ^ ferving Lifiwore I! Lift. , 1 Lift. Black/t. Comment. * See Re¬ venue. LIS [46 ferving not only to fhow their quality, but to. preferve them from being torn in the operations of fulling, dye¬ ing, &c.—Lift is ufed on various occafions 5 but chief¬ ly by gardeners for fecuring their wall-trees. List, in ArchiteElure, a little fquare moulding, other- wife called fillet, Ifiel, &c. See Architecture, List, is alfo ufed, to fignify the enclofed field or ground wherein the ancient knights held their jufts and combats. It was fo called, as being, hemmed round with pales, barriers, or flakes, as with a lifl. Some of thefe wrere double, one for each cavalier *, which kept them apart, fo that they could not come nearer each other than a fpear’s length. See Just, Tournament, Duel, &c. Civil List, in the Britifh polity. The expences defrayed by the civil lift are thofe that in any fhape re¬ late to civil government 5 as, the expences of the houfe- hold } all falaries to officers of ftate, to the judges, and every one of the king’s fervants, the appointments to foreign ambaffadors j the maintenance of the queen and royal family ; the king’s private expences, or privy- pur fe ; and other very numerous outgoings, as fecret- lervice money, penfions, and other bounties : which fometimes have fo far exceeded the revenues appointed for that purpofe, that application has been made to parliament to difcharge the debts contradted on the ci¬ vil lift ; as particularly in 1724, when one million was granted for that purpofe by the ftatute 11 Geo. I. c. 17* and, in 1769, when half a million was appropriated to the like ufes by the ftatute 9 Geo. III. c. 34. The civil lift is indeed properly the whole of the king’s revenue in his own diftindl capacity 5 the reft being rather the revenue of the public, or its creditors, though collected and diftributed again in the. name and by the officers of the crown : it now (landing in the fame place, as the hereditary income did formerly ; and as that has gradually diminifhed, the parliamen¬ tary appointments have increafed. The whole revenue of Oueen Elizabeth did not amount to more than 6oo,oool. a-year: that of King Charles I. was 8oo,oool. and the revenue voted for King Charles II. was 1,200,000!. though complaints were made (in the firft years at lead) that it did not amount to fo much. But it mu ft be obferved, that under thefe fums were inclu¬ ded all manner of public expences *, among which Lord Clarendon, in his fpeech to the parliament, computed that the charge of the navy and land forces amounted annually to 8oo,ocol. which was ten times more than before the former troubles. The fame revenue, fubjeft to the fame charges, was fettled on King James II. , but by the increafe of trade, and more frugal manage¬ ment, it amounted on an average to 1,500,000!. per annum, (befides other additional cuftoms granted by parliament, which produced an annual revenue of 400,000!.), out of which his fleet and army were main¬ tained at the yearly expence of 1,106,000k After the Revolution, when the parliament took into its own hands the annual fupport of the forces both maritime and military, a civil lift revenue was fettled on the new king and queen, amounting, with the hereditary du¬ ties, to 700,OOOl. per annum •, and the fame was con¬ tinued to Quegn Anne and King George I. That of King George II. wasnommallyaugmented to 800,000].*, and in fa£l was confiderably more : but that of his pre¬ feat majefty is exprefsly limited to that fum 5 though ] LIT ioo,oool. hath been fince added. And upon the whole, it is doubtlefs much better for the crown, and alfo for the people, to have the revenue fettled upon the mo¬ dern footing rather than the ancient. For the crown, becaufe it is more certain, and collecied with greater eaie 5 for the people, becaufe they are now delivered from the feudal hlfdfhips, and other odious branches of the prerogative. And though complaints have fome¬ times been made of the increafe of the civil lift, yet if we confider the fums that have been formerly granted, the limited extent under which it is now eftablifhed, the revenues and prerogatives given up in lieu of it by the crown, the numerous branches of the prefent royal family, and (above all) the diminutiop of the value of money compared with what it was worth in the laft century, w!e muft acknowledge thefe complaints to be void of any rational foundation •, and that it is impof- fible to fupport that dignity, which a king of Great Britain fhould maintain, with an income in any degree lefs than what is now eftablifhed by parliament, bee Revenue. To LIST or Enllfi Soldiers, to retain and enroll men as foldiers, either as volunteers, or by a kind of compulfion. Perfons lifted muft be carried within four days, but not fooner than 24 hours after, before the nextjuftice of peace of any county, riding, city, or place, ©r chief magiftrate of any city or town corporate (not being an officer in the army) ; and if before fueh juftice or magiftrate they diffent from fuch enlifting, and return the enlifting money, and alfo 20 (hillings in lieu of all charges expended on them, they are to be difcharged. But perfons refufing or neglefting to re¬ turn and pay fuch money within 24 hours, (hall be deemed as duly lifted as if they had affented thereto before the proper magiftrate ", and they fhall, in that' cafe, be obliged to take the oath, or, upon refufal, they (hall be confined by the officer who lifted them till they do take it. LISTER, Dr Martin, an eminent Englifh phy- fician and naturalift, w'as born in 1638, and educated at Cambridge. He afterwards travelled into France j and at his return praftifed phyfic at York, and after¬ wards at London. In 1683, he was created dodlor of phyfic, and became fellow of the College of Phyficians in London. In 1698, he attended the earl of Port¬ land in his embaffy from King William III. to the court of France j of which journey he publifhed an account at his return, and was afterwards phyfician to Queen Anne. He alfo publifhed, I. Hifioria animalium An- glice, quarto. 2. Conchyliorum fynopjis, folio. 3. Coch- learum et litnachum exercitntio analomica, 4 vols. 8vo. 4. Many pieces in the Philofophical Tranfa&ions ; and other works. LISTOWEL, a pariffi, alfo a poll and fair town, of Ireland, in the county of Kerry and province of Mttn- fter, 131 miles from Dublin, anciently Lis iuathal, i. e. “ th the perfon that Liternmn .11 Litho- mantia.. - 4 LIT r 49 i L I T LUhoman- confalted It was to be purified from all manner of pol- tia lution, and to have his face covered : this done, he Lithuania rePeatecl divine prayers, and placed certain characters - ^ in an appointed order ; and then the (lone moved of itfelf, and in a foft gentle murmur, or (as fome fay) in a voice like that of a child, returned an an Twer. By a (tone of this nature, Helenus is reported to have foretold the deftruftion of Troy. LITHONTRIPTICS ('from XiOas, “ a ftone,” and dgvTrlt, “ to break”) ; an epithet for medicines that are iuppofed to break the ftone in the bladder. Though the different ftones that are generated in the human bladder require different folvents when out of the bo¬ dy ; and though art hath not yet afforded a medicine which, when injected into the bladder, will, without injury thereto, diffolve the ftone therein lodged $ it cannot thence be concluded, that there are no lithon- triptic medicines. It may be here obferved, that one folvent affcfts one fubjeft, but hath no effeCt on ano¬ ther 5 fo a folvent may yet be met with that will de- ftroy the ftone, and not hurt the human body. The water into which the boiled white of egg diffolves will liquefy myrrh, but may be put into the human eye without caufing any uneafinefs. Soap ley taken at firft in fmall dofes in broth that is freed from all its fat, fucceeds in moft cafes which require an alkaline folvent. The patient may begin with 20 drops, and gradually increafe the dofe as he is able 5 and by repeating it three times a-day for fix, eight, or twelve months, the wifhed-for effefts often follow. LITHOPHYTA, the name of Linnaeus’s third order ef vermes. See Helminthology Index. LITHOSPERMUM, GROMWELL,agenus of plants belonging to the pentandria clafs ; and in the natural method ranking under the 41ft order, Afperifolice. See Botany Index. LIPHOSTROTON, among the Romans, was a pavement of mofaic work, confifting of fmall pieces of • ut marble of different kinds and colours, firft ufed in the time of Sylla, who made one at Pramefte in the temple of Fortune, and afterwards in private houfes j and were brought to filch perfedion, that they exhibit¬ ed moft lively reprefentations of nature, with all the accuracy of the fineft painting. LI1 HOFOMY, in Surgeryy the operation of cut¬ ting for the ftone. See Surgery Index. LITHUANIA, an extenlive province of Poland. By the natives it is called Letwa, and has Great Po¬ land and Ruflia on the weft 5 part of Mufcovy on the eaft ; Livonia, the Baltic fea, and part of Mufcovy, on the north j Red Ruflia, Volhinia, and Podolia, on the fouth ; and the Ukraine on the fouth-eaft. Its length is faid to be about 360, and its breadth 340 miles ; but it is much indented both ways. Lithuania was anciently overrun with wood ; and there are ftill many forefts in it, which yield a great deal of honey, wax, pitch, tar, and timber; and abound with wild boars, buffaloes, elks, wild horfes, wild affes, uri, and woodcocks. ’1 he lakes are alfo numerous, and well ftored with fifti : but the air, by reafon of thefe forefts and Jakes, is faid to be thick and foggy. The country produces a great deal of buck wheat and other corn ; the paftures are luxuriant, and the flocks and herds numerous: fo that, notwithftanding agriculture is Vol. XII. Part I, much negledled, proviiions are exceeding cheap, and Lhl.u;.n'a money fo fcarce, that 10 per cent, is the common in- ii tereft. The principal nobility have large eftates, and , ^‘Uct‘ t live in great pomp and fplendour, generally retaining y fome hundreds of thofe that are poor, in quality of do- meftics. The eftablifhed religion is Popery ; but Lu¬ therans, Calvinifts, Jews, Turks, Greeks, and Socini- ans, are very numerous. Lithuania was governed by its own dukes till it was united to Poland, towards the end of the 14th century, when the great duke Jagello married Hedwug, the dowager of Louis king of Poland and Hungary. It had even dukes after that, but they were fubordinate to the king ; and at this day, though one diet ferves for both countries, yet each has its peculiar laws, cuftoms, dialed!, and privileges. In a diet held at Lublin in 1569, it was more clofely united to Poland than it had been before ; and it was enadled, that both countries, for the future, ftiould form but one date under the fame prince. As to their courts of juf- tiee, the tenth part of what is adjudged in all real ac¬ tions goes always to the judge’s box, and is immediate¬ ly paid in court ; and in perfonal aftions he claims half the damages given. A nobleman is only fined for murder, as in Poland. The dialed! is a language of the Sclavonic ; and they fpeak here, as in Poland, a barbarous kind of Latin. Lithuania is divided into nine palatinates. Another divifion is into Lithuania properly fo called, and Lithuanian Ruflia. Some alfo comprehend under it Samogitia and Courland, which is a fief of Poland. LITMUS, or Lacmus, in the arts, is a blue pig¬ ment, formed from archil. It is brought from Hol¬ land at a cheap rate : but may be prepared by adding quicklime and putrified urine, or fpirit of urine diftil- led from lime, to the archil previoully bruifed by grind¬ ing. The mixture having cooled, and the fluid fuffer- ed to evaporate, becomes a mafs of the confiftence of a pafte, which is laid oh boards to dry in fquare lumps. It is only ufed in miniature paintings, and cannot be well depended on, becaufe the leaf! approach of acid changes it inftantly from blue to red. The beft litmus is very apt to change and fly. LITTER (leclica'), a kind of vehicle borne upon fhafts ; anciently efteemed the moft eafy and genteel way of carriage. Du Cange derives the word from the barbarous Latin ledleria, “ ftravv or bedding for beafts.” Others will rather have it come from leflus, “ bed their being ordinarily a quilt and a pillow to a litter in the fame manner as to a bed. Pliny calls the litter the traveller's chamber ; it was much in ure among the Romans, among whom it was borne by {laves kept for that purpofe ; as it ftill conti¬ nues to be in the eaft, where it it called a palanquin The Roman leftica, made to be borne by four men, was called tetraphorum ; that borne by fix, hexapkarum ; and that borne by eight, oclaphorum. The invention of 3itters,^^-ording to Cicero, was owing to the kings of Bithyrna : in the time of Tiberius they were become very frequent at Rome, as appears from Seneca ; and even ilaves themfelves w ere borne in them, though never by more than two perfons, whereas men of quality had fix or eight. Litter alfo denotes a parcel of dry old ftraw put on the floor of a horfe’s flail for him to lie down and reft upon. When a horfe comes tired into a liable, frefin G litter * 4 4 Liturgy. LIT t Litter litter lias the virtue of making him ftale immediately. This is known to be of very great advantage to a horie in a tired ftate \ and when the litter is old and dirty, it never has any fuch effeft upon him. If the owners knew how refreihing it is for a horfe to difcharge his urine on his return from labour, they would be more care¬ ful of giving them all means and occahons of it than they are. This ftaling after fatigue, prevents thofe ob- Itruftions in the neck of the bladder or urinary paf- fages which horfes are too fubjeft to. LITTLETON, Sir Thomas, judge of the com¬ mon pleas, was the eldeft fon of Thomas Weftcote, Efq. of the county of Devon, by Elizabeth, foie heirefs of Thomas Littleton of Frankley in Wor- cefterlhire, at whofe requeft he took the name and arms of that family. He was educated at one of our universities, probably at Cambridge. Thence he re¬ moved to the Inner Temple, where he became one of the readers ; and was afterwards, by Henry VI. made fteward or judge of the court of the palace, or roar- flialiea of the king’s houfehold. In I455» thirty- third of that reign, he was appomted king’s ferjeant, and rode the northern circuit as judge of affize. In 3462, the fecond of Edward IV., he obtained a par¬ don from the crown ; and, in 1466, was appointed one of the judges of the common pleas, and rode the Northamptonlhire circuit. In the year 1474 he was, with many of the firft nobility, created knight of the Bath. He died in 1481 ; and was buried in the ca¬ thedral church of Worcefter, where a marble tomb, with his ftatue upon it, was ere&ed to his memo- rv. As to his charafter as a lawyer, it is fufficient to inform the reader, that he was the author of the Treatife upon tenures, on which Sir Edward Coke wrote a comment, well known by the title of Coke upon Littleton. Littleton, Adamt defcended from an ancient family in Shroplhire, was born in 1627, educated at Weftminfter fchool, and went to Oxford a ftudent of Chrift-church, whence he was ejected by the parlia- xnent vifitors in 1648. Soon after* he became ufher of Weftminfter fchool, and in 1658 was made fecond mafter of WTeftminfter fchooL After the reftoration he taught a fchool at Chelfea in Middlefex, of which church he was admitted redor in the year 1664. In 1670 he accumulated the degrees in divinity, being then chaplain in ordinary to his majefty. In 1674, he became prebendary of Weftminfter, of which churc 1 he was afterwards fub-dean. Befid'e the well-known Latin and Englijh Diftionary, he publiftied feveral other works. He died in 1694, and was interred at Chelfea. He was an univerfal fcholar ; and extremely charitable, humane, and eafy of accefs. . LITURGY, denotes all the ceremonies m general belonging to divine fervice. . The wqrd comes from the Greek teervqyict, . lervice, public miniftry -/’ formed of tones, “ public,” and e#y«v, “ work.” _ . r. In a more reftrained fignification, liturgy is uled among the Romanifts to fignify the ma/s ; and among us the common prayer. . . . All who have written on liturgies agree, that in the primitive days divine fervice was exceedingly fimple, only clogged with a very few ceremonies, and confift- Ihg of but a fmall number of prayers j but, by degrees, 50 1 LIT they increafed the number of external ceremonies, and added new prayers, to make the office look more awful and venerable to the people. At length things were carried to fuch a pitch, that a regulation became ne- Liturgy, Lituus. ceffary ; and it was found proper to put the fervice, and the manner of performing it, into writing 3 and this was what they called a liturgy. Liturgies have been different at different times, and in different countries. We have the liturgy of St Chry- foftom, that of St Peter, of St James, the liturgy of St Bafil, the Armenian liturgy, the liturgy of the Maronites, of the Cophtae, the Roman liturgy, the Gallican liturgy, the Englith liturgy, the Ambrofian liturgy, the Spanifh and African liturgies, &c. In the more early ages of the church, every bifhop had a power to form a liturgy for his own djocefe 3 and if he kept to the analogy of faith and doflrine, all circumftances were left to his own diferetion. After¬ wards the practice w-as for the whole province to fol¬ low the metropolitan church, which alfo became the ge¬ neral rule of the church : and this Lindwood acknow¬ ledges to be the common law of the church 3 intimat¬ ing, that the ufe of feveral fervices in the fame pro¬ vince, which was the cafe in England, was not to be warranted but by long cuftom. The liturgy of the church of England was com poled in the year 154/* and eftablifhed in the fecond year of King Edward VL flat. 2. and 3. Ed. VI. cap. 1. . In the fifth year of this king rt was reviewed 3 be- caufe fome things were contained in that liturgy which {bowed a compliance with the fuperftition of thofe times, and fome exceptions were taken againft it by fome learned men at home, and by Calvin abroad. Some alterations were made in it, which _ confifted in adding the general confefllon and abfolution, and the communion to begin with the ten commandments. I he ufe of oil in confirmation and extreme undion was left out, and alfo prayers for fouls departed, and what tended to a belief of Chrift’s real prefence in the eu- charift. This liturgy, fo reformed, was eftabhthed by the aft of 5 and 6 Ed. VI. cap. 1. However, it was aboliftied by Queen Mary, who enafted that the ler¬ vice Ihould ftand as it was moft commonly ufed m the laft year of the reign of King Henry \ III. The li¬ turgy of 5 and 6 Ed. VI. was re-eftabliftied with fome few alterations and additions, by 1 Eliz. cap. 2. Some farther alterations were introduced, in confequence or the review of the common-prayer book, by order of King James, in the nrft year of his reign 3 particular¬ ly in the office of private baptifm, in feveral rubrics and other paffages, with the addition of five or fix new prayers and thankfgivings, and all that part of the ca- techifm which contains the doctrine of the facraments. The book of common-prayer, fo altered, remained in force from the firft year of King James to the four¬ teenth ef Charles II. But the laft review of the li¬ turgy was in the year 1661, and the. laft a6t of uni¬ formity enjoining the obfervance of it is 13 and 14, Car. II. cap. 4. See COMMOX-Lraycr. Many appli¬ cations have been fince made for a review, but hither¬ to without fuccefs. , LITUUS, among the Romans, was the ftait made ufe of by the augurs in quartering the heavens. It bore a great refcmblance to the crofier of a bilhop, but was {hotter. It was crooked at one end, and thicken: L I V r 51 ] L I V Lituus In the curved part, according to A. Gcllxus. We fre- ^ quently meet with a reprefentation of it upon medals, _, amongft other pontifical inftrUments, It was called Lituus ^uirinalisy from Quirinus, a name of Romulus, who was Ikilled in all the myfteries of augury. Lituus, was alfo an inftrument of mufic in ufe in the Roman army. It was itraight, excepting that it had a little bending at the upper end like a lituus or facred ftaff of the augurs j and from the fimilitude it derived its name. LIVADIA, anciently Achaia and Hellas, or Greece properly fo called j a province of Turkey in Europe, bounded on the north by Epirus and Theffaly, from which it is feparated by Mount Oeta, now Banina, and by the Euripus, now the ftrait of Negropont ; on the eaft, by the Archipelago j on the fouth, by the gulf of Engia or Egina, the ifthmus of Corinth, and the gulf of Lepanto •, and on the weft, by the Ionian fea and part of Epirus. Its extent is about 130 miles from north-weft to fouth-eaft ; but its greateft breadth is not above 36 miles. It is in general a mountainous country j but neither unpleafant nor unfruitful. The principal mountains are, Mount Oeta in Boeotia, where is the famous pafs of Thermopylae, not above 25 feet broad ; and Parnaffus, Helicon, and Cythaeron in Pho- cis, which were facred to Apollo and the mufes, and confequently much celebrated by the poets. The ri¬ vers of moft note are, the Sionapro, anciently the Achelous, the Cephiffus, the Ifmenus, and the Afo- pus. The province is at prefent divided into Livadia proper, Stramulippa, and the duchy of Athens. The principal places are, Lepanto, anciently Naupaflus j Livadia, anciently Libadia or Lebadia the celebrated city of Athens, now Setines ; Thebes, now' Stibes j Lepfina, anciently Eleufis j Caftri, formerly Delphi 5 and Megara. Livadia, an ancient town of Turkey in Europe, and capital of a province of the fame name in Greece. It is a large and populous place, feated on the gulf of Lepanto, about 25 miles from the city of that name. It has now a confiderable trade in' woollen fluffs and rice. Anciently it w'as celebrated for the oracle of Trophonius, which was in a cavern in a hill above the town. E. Long. 23. 29. N. Lat. 38. 40. LIVER, fee Anatomy, N° 96.—Plato, and others of the ancients, fix the principle of love in the liver ; whence the Latin proverb, Cogit amare jecur; and in this fenfe Horace frequently ufes the word, as when he fays, Si torrere jecur queer us Idoneum. The Greeks, from its concave figure, called it jirag, “ vaulted, fuf- pended j” the Latins call it jecur, q. d. juxta cor, as being “ near the heart.” The French call it foye, from foyer, focus, or “ fireplace agreeable to the dodlrine of the ancients, who believed the blood to be boiled and prepared in it.—Erafiftratus, at firft, called it parenchyma, i. e. effufon, or mafs of blood-, and Hip¬ pocrates, by way of eminence, frequently calls it the hypoch ndrium. Liver of Antimony. See Chemistry Index. LlVER of Arfenic, is a combination of white arfenic with potalh. See Arsenic, Chemistry Index. Liver of Sulphur. See Potash, Sulphuret of, Che¬ mistry Index. LiVER-Wort. See Marchantia and Lichen, Bo¬ tany Index. LIVERPOOL, a large, flouriftiing, and populous Liverpool, town of England, in the county of Lancafter, fxtuated *' at the influx of the river Merfey into the fea. This town has fo much increafed in trade fince the com¬ mencement of the prefent eentury, that it is now the greateft fea-port in England except London, having exceeded Briftol confiderably of late years, which will appear by the following account of the cuftom-duties, received in the feveral ports of London, Liverpool, and Briftol, in the year 1784, taken from the report of the commiffioners for inlptding the ftate of public ac¬ counts. London, - L.5,187,052 9 54. Liverpool, - 640,684 2 24- Briftol, - - 334,9°9 19 34 Liverpool exceeded Briftol, L.305,774 2 11 The following {hows how much the trade has increafed fince the above period : Duties received in the port of Liverpool from July 5th 1785, to Oftober 10th 1787, L.298,361 9 104 The merchants here trade to all parts of the world ex¬ cept Turkey and the Eaft Indies j but the moft bene¬ ficial trade is to Guinea and the Weft Indies, by which many of them have acquired very large for¬ tunes. Liverpool, during the laft war, carried on more fo¬ reign trade than any town in England $ and fuch is the ftate of it at this time, that there are near three thoufand veffels cleared from that port in one year to different parts of the world. Here are feveral manu- fa£tories for China-ware, and pot-houfes which make very fine w’are, fome falt-works, glafs-houfes, and up¬ wards of 50 breweries, from fome of which large quali¬ ties of malt liquor are fent abroad. Many of the build¬ ings are formed in the moft elegant manner ; but the old ftreets are narrow; which defeft will foon be re¬ moved, as the corporation have lately obtained an aft of parliament for the improvement of the town, which they have already begun to put in force with great fpi- rit, having taken down the principal ftreets in the centre of the towm, and rebuilt them in a fpacious and moft magnificent manner ■, fo that in a few years it will be one of the handfomeft towns in England. This town contains fixteen churches, namely, St Peter’s, St Nicholas’s, St George’s, St Thomas’s, St Paul’s, St Ann’s, St John’s, Trinity, St James’s, St Catherine’s, St Mary’s, St Stephen’s, St Matthew’s, St Mark’s, Chrift Church, and All Saints. There are alfo meet¬ ings for independents, anabaptifts, quakers, methodifls, and prefbyteriaps. The exchange is a noble ftnufture, built of w hite ftone in the form of a fquare, and round it are piazzas where the merchants affemble to tranfafl bufinefs. Above it are the mayor’s offices, the feflions- hall, the council-chamber, and two elegant ball-rooms. The expence of erefting this building amounted to 30,000!. The cuftom-houfe is fituated at the head of the old dock, and is a handfome and convenient ftruc- ture. Here are many charitable foundations, among which is an excellent grammar fchool well endowed, and many of the youth taught in it have exhibitions in the univerfities. The infirmary is a large edifice of G 2 brick * « 4 L I V [53 Liverpool brick and done, fituated on a hill in a very pleafant * **** * ■ ' ' airy iltuation, at one end of the iflrwn. In the town is a charity-fchool fupported by volun- tary fubfctiptions and contributions for 50 boys and 12'girls, who are not only clothed and educated, but alfo° provided with food and lodging : likewife feveral alms-houfes for the widows of feamen 5 and an excel¬ lent poor-houfe, fuperior to any in the kingdom, where upwards of 800 men, women, and children, are fupport- ed, many of whom are employed in fpinning cotton and wool. There are five large wet docks, three dry docks, and feveral graving docks for the repairing of {hipping ; which renders it the mofl commodious fea- port in the world. The quays which bound thefe docks are covered with warehoufes 5 which is a conve¬ nience that enables the merchant to difeharge his fhip at a very fmall expence. The new priion lately finifh- ed is a hoble edifice, being built entirely on the plan of the great and benevolent Mr Howard, for folitary confinement", and is perhaps the moft convenient, airy, magnificent building of the kind of Europe 5 being upon a very extenfive feale. Liverpool received its charter from King John j but it was a borough by prefeription long before his reign. It is under the government of a recorder, mayor, and an unlimited number of aldermen,_ two bailiffs, .and a common council of forty of the principal innabitants, with a town-clerk and other proper officers.. The town has a weekly market on Saturday, and is diftsmt from London 204 miles. The progreflive rife of popula¬ tion in Liverpool, may be conceived by perufing the following table : Year. Chriftened. Buried 1660 1680 1700 1720 1740 1760 1780 1787 3 106 132 410 485 986 I7°9 2267 51 124 293 608 599 *544' *773 Married.. 5 35 58 *37 408 606 804 The whole population of Liverpool in the year 1793 was computed to amount to 56,782. By means of inland navigation, Liverpool has com¬ munication with the rivers 17ee, Kibble, Oufe, Irent, Darwent, Severn, Humber,Thames, Avon, &c.; which navigation, including its windings, extends above 500 miles, in the counties of Lincoln, Nottingham,.York, Weftmoreland, Chefter, Stafford, Warwick, Leicefter, Oxford, Worcefler, &c. The Merfey, upon which the town is fituated, abounds with falmon, cod, floun¬ ders, turbot, plaice, and frnelts } and at full fea it is above two miles over. In the neighbourhood are fre¬ quent horfe-races, on a five-mile courfe, the fineft for the length in England. The foil in and near the town is dry and Tandy, and particularly favourable to the growth of potatoes, on which the farmers often depend more than on wheat or any other grain. Frefli water is brought into the town by pipes, from feme fprings four miles off, purfuant to an aft of parliament in the reign of Queen Anne. Lhe dock duties of ] L I V Liverpaol in 1760 amounted to 2330I. but in 1805 lo Liverpeoi 33,3641. an aftonilbing proof of the rapid increafe of jJL. its trade. The difpenfary of this town does honour to human nature, and has been of the moft lingular advan¬ tage to the afflifted, fince 172,273 perfons were cured of every diforder incident to human nature, between the years 1778 and 1794, being on an average about 10,000 perfons every year. The Union News Room was inftituted on the iff of January 1801 } the Lyceum much about the fame period, the ereftion of which colt the fum of ti,oool. and the Commercial News Room in 1803. The iuftitution for reftoring drowned per¬ fons is worthy of notice, as more than 4'2|-) people have become objefts of it finee it was founded, and more than one half of that number have been reftored. The Athenaeum, which comprifes a news room and library, was projefted in 1798? and finifhed before the clofe i>£ the year. There are four weekly papers publifhed at Liverpool. From 1783 to 1793 inciufive the value of (laves imported into the Weft Indies in Liverpool vef- fels, amounted to 15,186,850!. fteiling } and the ad¬ vantages which it derives from its inland navigation are more than can be properly eftimated. Liverpool fends two members to parliament. LIVERY, in matters of drefs and equipage, a cer¬ tain colour and form of drefs, by which noblemen and gentlemen choofe to diftinguifh their fervants. Liveries are ufually taken from fancy, or continued in families by fucceflion. The ancient cavaliers,, at their tournaments, diftinguifhed themfelves by weari.ng the liveries of their miftreffes : thus people of quality make their domeftics wear their livery. Father Meneftrier, in his Treatife of Caroufals, has given a very ample account of the mixtures of colours in liveries. Dion tells us, that Oenomaus was the firft who invented green and blue colours, for the troops which, in the circus, were to reprefent land and fea figXhe Romilb ebureb has alfo her feveral colours and liveries •, white, for. confeffors and virgins, and in times of rejoicing 5 black, for the dead ; red, for the apoftles and martyrs ; blue or violet, for penitents} and green, in times of hope. . r 1 v Formerly, great men gave liveries to leveral, who were not of their family or fervants, to engage them in their quarrels for that year ; but this was prohibited by the ftatutes 1 Rich. II. 1 Hen. IV. cap. 27. 2 and 7'Hen. IV. 8 Hen. VI. cap. 4. 8 Ed. IV. cap. 2. ; and no man, of whatever condition, was allowed to give any livery, but to his domeftic officers, and coun- fel learned in the law. However, moft of the above ftatutes are repealed by 3 Car. I. cap. 4. . . J.IVERT of Se?yin, in Law, fignifies delivering the poffeffion of' lands, &c. to him who has a right to them. LIVERYMEN of London, are a number of men chofen from among the freemen of each company. Out of this body the common-council, fheriff, and other fuperior officers for the government of the city., are elefted 5 and they alone have the privilege of giving their votes for members of parliament, from which the reft of the citizens are excluded. . LIVIUS, Titus, the beft of the Roman hiftori- ans, as he is called by Mr Bayle, was born at Patavi- um or Padua. Few particulars of his life have been handed C L I V r « J L I V Livlus. handed down to us. Coming to Rome, lie acquired the notice and favour of Auguftus, and there he long refided. Some have fuppofed, (for there is not any proof of it), that he was known to Auguftus before, by certain Philofophical Dialogues which he had de¬ dicated to him. Seneca fays nothing of the dedication1:- but mentions the dialogues, which he calls hiftorical and philofophical ; and alfo fome books, written pur- pofely on the fubjedt of philofophy. Re this as it will, it is probable that he began his hiftory as foon as he was fettled at Rome ; and he feems to have devoted himfelf fo entirely to the great work he had underta¬ ken, as to be perfectly regardlefs of his own advance¬ ment. The tumults and diftradtions of Rome frequent¬ ly obliged him to retire to Naples ; not only that he might be lefs interrupted in the purfuit of his deftin- ed talk, but alfo enjoy that retirement and tranquillity which he could not have at Rome, and which yet he feems to have much fought after : for he was greatly diflatisfied with the manners of his age, and tells us, that “ he fhould reap this reward of his labour, in compofing the Roman hiftory, that it would take his attention from the prefent numerous evils, at leaft while he was employed upon the firft and earlieft ages.” He ufed to read parts of this hiftory, while he was compofing it, to Mecaenas and Auguftus j and the lat¬ ter conceived fo high an opinion of him, that he pitch¬ ed upon him to fuperintend the education of his grand- fon Claudius, who was afterwards emperor. After the death of Auguftus, Livy returned to the place of his birth, where he was received with all imaginable ho¬ nour and refpeft : and there he died, in the fourth year of the reign of Tiberius, aged above feventy. Some fay, he died on the fame day with Ovid : it is certain that he died the fame year. Scarce any man Avas ever more honoured, alive as Avell as dead, than this hiftorian. Pliny the younger relates, that a native gentleman travelled from Gades, in the extremeft parts of Spain, to fee Livy : and, though Rome abounded with more ftupendous and cu¬ rious fpeftacles than any city in the world, yet he im¬ mediately returned j as if, after having feen Livy, no¬ thing farther could be worthy of his notice. A mo¬ nument was erefted to this hiftorian in the temple of Juno, where was afterwards founded the monaftery of St Juftina. There, in 1413, was difcovered the fol¬ lowing epitaph upon Livy : OJJa Titi Livii Patavini, omnium tnortahum judicio digni, cujus prope inviBo ca~ iamo tnviEh popuh Romani res gejice confcriberentur; that is, “ The bones of Titus Livius of Patavium, a man worthy to be approved by all mankind, by whofe almoft invincible pen the a£ts and exploits of the invincible Romans Avere written.” Thefe bones are faid to be preferved Avith high reverence to this day, and are fhown by the Paduans as the moft precious remains. In 1451, Alphonfus, king of Arragon, fent his ambaf- fador, Anthony Panormita, to deftre of the citizens of Padua the bone of that arm with which this their fa¬ mous countryman had Avritten his hiftory ; and, ob¬ taining it, caufed it to be conveyed to Naples with the greateft ceremony as a moft invaluable relic. He is faid to ha\re recovered from an ill ftate of health by the pleafure he found in reading this hiftory : and there¬ fore, out of gratitude, put upon doing extraordinary honours to the memory of the writer. Panormila alfo, who Avas a native of Palermo in Sicily, and one of the ableft men of the 15th century, fold an eftate to pur- chafe this hiftorian. The hiftory of Livy, like other great works of an¬ tiquity, is tranfmitted down to us exceedingly mutilated and imperfeft. Its books Avere originally a hundred and forty-two, of Avhich are extant only thirty-five. The epitomes of it, from which we learn their number, all remain, except thole of the 136th and 137th books. Livy’s books have been divided into decades, Avhich fome will have to have been done by Livy himielf, be- caufe there is a preface to every decade j Avhile others fuppofe it to be a modern contrivance, lince nothing about it can be gathered from the ancients. The firit decade, beginning with the foundation of Rome, is ex¬ tant, and treats of the affairs of 460 years. The fe- cond decade is loft j the years of which are feventy- five. The third decade is extant, and contains the fecond Punic war, including eighteen years. It is rec¬ koned the moft excellent part of the hiftory, as giving an account of a very long and (harp war, in Avhich the Romans gained fo many advantages, that no arms could afterwards withftand them. The fourth decade contains the Macedonian war againft Philip, and the Afiatic war againft Antiochus, which take up the fpace of about 23 years. The five firft books of the fifth decade were found at Worms, by Simon Grynceus, in 143 L but are very defedtive ; and the remainder of Livy’s hif¬ tory, which reaches to the death of Drufus in Ger¬ many in 746, together with the fecond decade, are fupplied by Freinftiemius. Never man perhaps was furniftied with greater ad¬ vantages for writing a hiftory than Livy. Refides his own great genius, Avhich was in every refpedt admi¬ rably formed for the purpofe, he Avas trained as it were in a city, at that time the emprefs of the world, and in the politeft reign that ever w as j having fcarcely had any other fchool than the court of Auguftus. He had accefs to the very bell materials, fuch as the Memoirs of Sylla, Csefar, Labienus, Pollio, Auguftus, and o- thers, written by themfelves. “ What Avriters of me¬ morials (fays Lord Bolinbroke), what compilers of the Materia Hiftorica, were thefe ! What genius Avas ne- ceffary to finifti up the pidlures that fuch mailers had iketched ! Rome afforded men that were equal to the talk. Let the remains, the precious remains, of Sa3- luft, of Li\'y, and of Tacitus, witnefs this truth. - What a fchool of public and private virtue had been opened to us at the refurredion of learning, if the lat¬ ter hiftorians of the Roman commonwealth, and the firft of the fucceeding monarchy, had come dow n to us entire i The few that are come down, though broken and imperfed, compofe the belt body of hiftory that we have j nay, the only body of ancient hiftory that deferves to be an objed of ftudy. It fails us indeed moft at that remarkable and fatal period, Avhere our reafonable curiofity is raifed the higheft. Livy em¬ ployed forty-live books to bring his hiftqry down to the end of the iixth century, and the breaking out of the, third Punic war : but he employed ninety-five to bring it down from ther^-e to the death of Drufus; that is, through the courfe of 120 or 130 years. Appian, Dion Caffius, and others, nay, even Plutarch uricluded, make us but poor amends for w hat is loft of Livy.” Speaking then of Tully’s,orations and letters, as thq heft L I V E 54 ] L I V Livius. beft adventitious helps to fupply this lofs, he fays, that levelled at Livy in particular, the pontiff having de- LWms, —v-— « the age in which Livy flourilhed, 'abounded with dared war againft all human learning. Livonra. fuch materials as thefe : they AVere fre(h, they were au- Though1 we know nothing of Livy’s family, yet we ' - thentic: it was eafy to procure them ; it was fafe to learn from Quintilian, that he had a fon, to whom he employ them. How he did employ them in executing addrefled fome excellent precepts in rhetoric. An an- the fecond part of his defign, we may judge from his cient infeription fpeaks alfo ot one of his daughters, execution of the firft *, and, I own, I fhould be glad named Livia ^uarta : the fame, perhaps, that efpoufed to exchange, if it were poflible, what we have of this the orator Lucius Magius, whom Seneca mentions; hiftory for what we have not. Would you not be glad, and obferves, that the applaufes he ufually received my Lord, to fee, in one ftupehdous draught, the whole from the public in his harangues, were not fo much progrefs of that government from liberty to fervitude •, on his own account, as for the fake of his father-in- the whole feries of caufes and effeds, apparent and real, law. _ public and private ?” &c. Our author’s hiftory has been often publiftied with The encomiums beftowed upon Livy, by both an- and without the fupplement of Freinftiemius. bients and moderns, are great and numerous. He not beft editions are, that of Gronovius, ctrm notis varic- only entertains like Herodotus j he alfo inifruds and rum etfuis, Lugd. Bat. 1679, 3 vols 8v0 5 that of Le interefts in the deepeft manner. But his great probity, Clerc at Amiterdam, I7C9> 10 vo^s 1 2mo 5 and that candour, and impartiality, are what have diftinguifh- of Crevier, at Paris, I73i» 6 vols 4tb. Ihefe have ed Livy above all hiftorians j for neither complaifance the fupplements.—Learning perhaps never iuftained a to the times, nor his particular connexions with the greater lofs, in any fingle author, than by the deftruc- emperor, could reftrain him from fpeaking well of Pom- tion of the latter and more interefling part of Livy, pey • fo well, as to make Auguftus call him a Paw- Several eminent mode rns have indulged the pleaftng ex- peian. This we learn from Cremutius Cordus, in Ta- pe&ation that the entire work of this noble hittorian citus j who relates alfo, much to the emperor’s ho- might yet be recovered. It hks been laid to cxift in an nour, that this gave no interruption to their friend- Arabic verfion : and even a complete copy of the ori- ftlip., But whatever elogies Livy may have received ginal is fuppofed to have been extant as la;e as the year as an hiftorian, he has not efcaped cenfure as a writer. 1631, and to have peri died at that time in the plunder In the age wherein he lived, Afinius Pollio charged of Magdeburg. The munificent patron of learning, him with Patavinity j which Patavinity has been vari- Leo X. exerted the moft generous zdal to reicue from oufly explained by various writers, but is generally fupi oblivion the valuable treafure, which one of his moft pofed to relate to his ftyle. The moft common is, that bigotted predeceffors, above mentioned; had expelled this noblO Roman, accuftomed to the delicacy of the from every Chriftian library. Bayie has'prelerfed, un^ language fpoken in the Court of Auguftus, could not der the article Leu, two curious original letters of that bear with certain provincial idioms, which Livy, as a pontiff, concerning his hopes of recovering Livy •, which Paduan, ufed in diver* places ofhis hiftory. Pignorius afford moft honourable proofs of his liberality m the is of another opinion, and believes that this Patavinity caufe of letters.—A lately dilcovered fragment of Li- regarded the orthography of certain words, wherein Livy vy’s hiftory was publifhed in 1773 by Dr Bruns, ufed one letter for another, according to the cuftom of Livius Audromcus, a comic poet who flounftied at his country^Writingj^e and quafe for Jdji and' qutiji/ Rotne about 240 years before the Chriftian era. He which he attempts to prove by feveral ancient inferip- was the firft who turned the perfonal iatires and fefeen- tions. The expreffiohs, however, or the orthography nine verfes, fo long the admiration of the Romans, in- of words, are tto> loaded with obfeurity, and the per- to the form of a proper dialogue and regular play, fe 61 cl a flic is as familiarly acquainted with thofe fup- TL hough the chara&er of a player* fo valued and ap- pofed provincialifms as with the pureft Latinity.—Livy plauded in Greece, was reckoned vile and defpicable has been cenfiired too, and perhaps with jdfiice, for be- among the Romans, Andromcus a6ted a part m ms inw too credulous, and burdening his hiftory with vul- dramatical compofitions, and engaged the attention gar notions and fuperftitious tales. He may difguft of his audience, by repeating what he had laboured when he mention’s that milk and blood were rained from after the manner of the Greeks. Andronicus was the heaven, or that an ox fpoke or a woman changed her freedman of M. Livius Salinator, whofe children he fex : yet he candidly confeffes that he recorded only educated. His poetry was grown obfolete in the age what made an indelible impreflion upon the minds of a of Cicero, whofe nicety and judgment would not even credulous age. recommend the reading of it. Is it worth while to mention here the capricious and LIVONIA, a large province of the Ruffian empire, tyrannic humour of the emperor Caligula, who accufed with the title of a duchy. It is bounded on the north Livy of being a negligent and wordy writer, and refol- by the gulf of Finland, on the weft, by that of Riga, ved therefore to remove his works and ftatues out of all on the fouth by Courland, and on the eaft, partly by Plef- libravies, where he knew they w ere curioufly preferved ? cow, and partly by Novogorod. It is about 250 miles Or the fame humour in Domitian, another prodigy of from north to fouth, and Jjo from eaft to weft. Ihe nature, who put to death Melius Pompofianus, becaufe land is fo fertile in corn, that it is called the granary of he made a colleaion of fome orations of kings ahd ge- the north: and would produce a great deal more, if it nerals out of Livy’s hiftory ? Pope Gregory the Great, was notfo full of lakes. The fiih that abound here are alfo, would not fuffer Livy in any Chriftian library, be- falmons, carps, pikes, flat fifb, and many others. In caufe of the Pagan fuperftition wherewith he abounded: the forefts there are wolves, bears, elks, rein-deer, flags, but the fame reafon held good againft all ancient au- and hares. The domeftic animals are very numerous •, thors ; and indeed Gregory’s zeal was far from being but the flieep bear very bad wool. Here are a great a si* number L o A [ 55 T L O A Livonia number of forefts, which confift of birch trees, pines, 11 and oaks; and all the hnufes of the inhabitants are ^'oac^, built with wood. The merchandifes which they fend abroad are flax, hemp, honey, wax, leather Ikins, and potalhes. The Swedes were formerly pofleffed of this, province, but were obliged to abandon it to the Ruf¬ fians after the battle of Pultowa *, and it w as ceded to them by the peace of the north, concluded in 1722, which was confirmed by another treaty in 1742. It is divided into two provinces, viz. Letonia and Eftonia ; and two iflands called Oefeland Dagho, which are again fubdivided into feveral diftrifts. LIVONICA-terra, a kind of fine bole ufed in the fhopsof Germany and Italy. It is found in Livonia, from w hence it takes its name. It is in the form of little cakes. LIVRE, a French money of account, containing 20 Cols. See MONET-Tab/e. LIXA, or Lixus, in Ancient Geography, a town on the Atlantic near the river Lixus •, made a Roman co¬ lony by Claudius Caefar; famous in mythology for the palace of Antaeus and his encounter with Hercules* (Pliny). Now Larache, 65 leagues to the fouth of the ftraits of Gibraltar. LIXIVIOUS, an appellation given to falls ob¬ tained from burnt vegetables by pouring water on their fjjfcfftns?!. lo no-ifiiq Jtvrtftur LIXIVIUM, in Pharmacy, &c. a ley obtained by pouring fome liquor upon the afhes of plants; which is more or left powerful, as it has imbibed the fixed falls contained in the alhes. L1XN AW, a barony in the county of Kerry and province of Munfter in Ireland, which gives title of baron to the earls of Kerry ; the village here of this name being their ancient feat, where the caftle was erefted. This feat Hands agreeably on the river Brick, which is here cut into feveral pleafant navigable canals, that adorn its plantations and gardens. W. Long. 9. 15, N. Lat. 52. 15. u fas mat ©dw hid arfj ajew LIZARD. See Lacerta, ErpetolOgy Index. Lizard, in Geography, a cape or promontory of Cornwall, fituated, according to the moft common com¬ putation, in W. Long. 5. 47. N. Lat. 49. 30. LLANDAFF. See Landaef. LLOYD, William, a moft learned Englifh waiter and bifliop, was born in Berkfhire in England in 1627. He was educated under his father, re&or of Sonning, and vicar of Tyle-hurft in Berkfliire; then went to Ox¬ ford, and took orders. In 1660 he was made preben* dary of Rippon ; and in 1666 chaplain to the king. In 1667 he took the degree of doftor of divinity ; in 1672 he was inftalled dean of Bangor ; and in 1680 wascon- fecrated bilhop of St Afaph. He was one of the fix bilhops who, with Archbilhop Sancroft, were commit*- ted prifoners to the Tower of London, for fubfcribing a petition to the king againft diftributing and publifhing his declaration for liberty of confcience. Soon after the revolution he was made almoner to King William and Queen Mafy : in 1692 he was tranflated to thebilhop- ric of Litchfield and Coventry; and in 1699, to ^le fee of Worcefter, where he fat till his death, which happened in 1717, the 91ft year of his age. Dr Bur¬ net gives him an exaltedcharafter, and his works are highly efteemed. LOACHi. See Cobitis, Ichthyology Index. LOAD, or Lode, in Mining, a word ufed efpecial- boat! ly in the tin-mines, for any regular vein or courfe, whe- M ther metallic or not; but molt commonly load means a 0rt metallic vein. When the fubftances forming thp(e loads are reducible to metal, the loads are by the Eng- lilh miners faid to be alive ; otherwise they are termed dead loads. In Cornwall and Devonlhire the loads chiefly hold their courfe from call ward to welt ward, though in other parts of England they frequently run from north to fouth. See Veins, Geology Index. Load is alfo ufed for nine difhes of ore, each dilh being about half a hundred weight. LOADSTONE. See Magnet. LOAMS, in Natural HiJlonj, are defined to be earths compofed of diflimilar particles, lliff, denfe, hard, and rough to the touch ; not eafily broke while moift, ‘ readily difl'ufible in water, and compofed of land and a tough vifcid clay. Of thefc loams fome are whitilh, and others brown and yellow. LOAN, any thing given to another, on condition of return or payment. Public Loans. See Funds and National Debt. LOANDA, a province of the kingdom of Angola in Africa. It is anilland about 15 miles in length, and three in breadth ; remarkable chiefly for the capital of Angola fituated upon it, in E. Long. 12. 25. S. Lat. 8. 45. This town was built by the Portuguefe in 1378, under the dire&ion of the firlt Portuguefe governor in thefe parts. It is large, populous, and pleafantly feat- ed on the declivity ©f a hill near the fea-coafi, and fa¬ cing the fouth-weft. The ifland is fupplied with frefti water from wells dug in it; and which are not funk be¬ low the depth of three feet when they are filled with excellent water. It is remarkable, however, that the water of thefe wells continues good only during the time of high tide ; for, as that finks, the water becomes more and more brackilh, till at Laft it is quite fait, al- moft as much as the fea itfelf. On the coaft of this ifland are fiflied the zimbis, or Ihells ufed in feveral parts of Africa inftead of money ; and with thefe fhells, inftead of coin, is carried on a great part of the traffic of this country. LO ANGO, a kingdom of Africa, extending itfelf about 180 geographical miles in length from fouth to north ; that is, from Cape St Catherine under the fe- cond degree of fouth latitude, to a fmall river called Lovanda Louijia, on the 5th degree of the fame. From weft to eaft it extends from Cape Negro on the coafl of Ethiopia towards the Buchuma/ean mountains, fo called on account of the vaft quantity of ivory and great droves of elephants, about 300 miles. It is divided into four principal provinces, viz. thofe of Lovangiri, Loango-mongo, Chilongo, and Pin. The inhabitants are very black, well Ihaped, and of a mild temper. The men wrear long petticoats, from the waift downwards, and have a piece of cloth round their waift. The w omen’s petticoats are made of ftraw. This country abounds with poultry, oxen, cows, ftieep, goats, elephants, tigers, leopards, civet-cats, and other animals ; fo that here are great quantities of ele¬ phants teeth, and fine furs, to be traded for. The capital city, where the king refides, called Loango, and in the language of the negroes, Boaric, is fituated in South Lat. 4! degrees, a league and a half from % Loango II Local. LOG [5 from the fea-eoaft, and is fhaded and adorned with ba¬ nanas, and other trees. I he king, who refides in a large palace in the middle of it, has about 1500 con¬ cubines. If any of them is furprifed in adultery, {he and her paramour are inftantly conveyed to the top of a very high hill, whence they are hurled down headlong from the fteepeft place. Every man marries as many wives here as he pleafes, who are obliged to get their hufbands a livelihood, as is the practice all along the African coaft inhabited by blacks. The women, therefore, cultivate the land, fow and reap, while the lazy hufbands loiter away their tima in idlenefs. The king’s revenue confifts in elephants teeth, cop¬ per, and a kind of petticoats made of palm-tree leaves, and called /avogus.” he has whole ftore-houfes full of thefe lavogus j but his greateft riches confift in Haves of both fexes. LOBBY, in ArchiteBure, is a fmall hall or waiting- room : it is alfo an entrance into a principal apartment, where there is a confiderable fpace between that and a portico or veftibule, and the length or dimenfions will not allow it to be confidered as a veftibule or an anti¬ room. See Antichamber. LOBE, in Anatomy, any flefhy protuberant part, as the lobes of the lungs, the lobes of the ears, &c. LOBELIA, Cardinal-flower; a genus of plants belonging to the fyngenefia clafs; and in the natural method ranking under the 29th order, Campanacece, See Botany Index. LOBETUM, anciently a town of the Hither Spain: faid to have been built by the Libyan Hercules, Pliny). Now Albara%in, a town of Arragon on the confines of New Caftile, on the river Guadalavir. E. Long. 2. N. Lat. 40. 40. LOBO, Jerome, a Jefuit miflionary, was born at Lifbon in the year 1593. He became a member of the Jefuit fociety at 16 years of age, and in 1622 went out as a miffionary to the Eaft Indies. Pie failed to the coaft of Mozambique, after making fome flay at Goa ; and afterwards penetrated into Abyflinia, where his zeal and refolution brought on him the hatred of the monks, from which he incurred much danger and fuf- fering. As he returned to Portugal he was fhipwreck- ed on the coaft of Natal, where feven months were Spent in conftrutting fliallops to bring them away. One of them foundered, but that in which Father Lobo failed arrived fafe at Angola. After a variety of ad¬ ventures he arrived at Lifbon; and he employed him- felf in the caufe of the Ethiopian miffion both at Ma¬ drid and Rome. He took a fecond voyage to the In¬ dies, where he was made reftor of the houfe at Goa. He returned to Lifbon in 165S, and was chofen reftor -of the college of Coimbra, where he died in 1678, at the age of 84. Lobo wrote an hiftorical account of Abyffinia in the Portuguefe language, which contains information both curious and valuable. It was tranflated into French by the abbe le Grand in 4to, in 1728 ; and the earlieft production of Dr Samuel Johnfon was an abridged ver- fion of this work. LOBSTER, a fpecies of cancer. See Cancer, En¬ tomology Index. LOCAL, in Law, fomething fixed to the freehold, U tied to a certain place 5 thus, real a&ions are local, 6 ] LOG fince they muft be brought in the country where they Local lie ; and local cuftoms are thofe peculiar to certain jjj-g countries and places. c—.. v— LOCAL Medicines, thofe deftined to a£l: upon par¬ ticular parts; as fomentations, epithems, veficatories, &c. LOCARNO, a town of Swifferland, capital of a bailiwick of the fame name, feated at the north end of the lake Maggiore, near the river Magie. It car¬ ries on a great trade ; and the country abounds in paftures, wine, and fruits. E. Long. 8. 41. N. Lat. 46. 6. . LOCHABER, a diftriftof the {hire of Invernefs in Scotland. It is bounded by Moydart on the weft, Glengary on the north, Badenoch on the eaft, and Lorn on the fouth. It derives its name from the lake or loch Aber ; and extends about 20 miles from eaft to weft, and 30 from north to fouth. Ihe country is barren, bleak, mountainous, and rugged. Near the mouth of the river Aber, in the centre between the Vv eft and North Highlands, Hands Fort William, with the town of Maryburgh, built upon a navigable arm of the fea, not far from the foot of Benevis. The town, defigned as a futlery for the garrifon, was erefted into a borough ; and the fort itfelf was defigned as a check upon fome of the clans, who had been guilty of depredations and other irregularities. Lochaber is inhabited moftly by the Macdonalds, Camerons, and Mackintefhes. The caftle of Macdonald of Glengary, in this diftri£t, was burnt to the ground in the year 1715, in confequence of his declaring for the Pretender. I he elegant houfe and gardens belonging to Cameron of Lochiel underwent the fame fate, for the fame reafon, in the year 1746. LOCHIA, in Midwifery, a flux from the uterus confequent to delivery. See Midwifery. LOCK, a well-known inftrument ufed for fattening doors, chefts, Sec. generally opened by a key. . The lock is reckoned the mafterpiece in fmithery ; a great deal of art and delicacy being required in con¬ triving and varying the wards, fprings, bolts, Sec. and adjufting them to the places where tney are to be ufed, and to the various occafions of ufing them. From the various ftrufture of locks, accommodated to their different intentions, they acquire various names. Thofe placed on outer doors are called^ocA loch ; thofe on chamber doors, fpring-locks thofe on trunks, trunk-locks, pad-lecks, See. Of thefe the fpring-lock is the moft confiderable, both for its frequency and the curiofily of its ftrudfure. Its principal parts are, the main-plate, the cover-plate, and the pin-hole : to the main-plate belong the key¬ hole, top-hook, crofs wards, bolt-toe or bolt-knab, drawback-fprink tumbler, pin of the tumbler, and the ftaples ; to the cover-plate belong the pin, main-ward, crofs ward, ftep-ward or dap-ward ; to the pin-hole belong the hook-ward, main crcfs-ward, {hank, the pot or bread, bow-ward, and bit. As on the proper conftrudtion of locks the fecurity of the moft valuable kinds of property alnioft entirely depends, and as numberlefs devices are continually fallen upon to elude the utmoft efforts of mechanical invention in this refpedl, it thence becomes an objedl of no fmall importance to invent a lock which it fhould be impojfible to open except by its proper key. A Lrea- tife upon this fubjed has been publiftied by Mr Jo- * feph c LOG [ Lock, feph Bramah; who is confident that he has brought the matter to the requifite perfeftion, and that every¬ one may reft affured of the fecurity of his property when under the protection of a lock of his invention. He begins with obferving, that the principle on which all locks depend, is the application of a lever to an in¬ terior bolt, by means of a communication from with¬ out ; fo that, by means of the latter, the lever a£ts upon the bolt, and moves it in fuch a manner as to fecure the lid or door from being opened by any pull ftr pulh from without. The fecurity of locks in ge¬ neral therefore depends on the number of impediments we can interpofe betwixt the lever (the key) and the bolt which fecures the door ^ and thefe impediments are well known by the name of wards, the number and intricacy of which alone are fuppofed to diftinguiftia good lock from a bad one. If thefe wards, however, do not in an effectual manner preclude the accefs of all other inftruments befides the proper key, it is ftill pqftible for a mechanic of equal fkill with the lock- maker to open it without the key, and thus to elude the labour of the other. “ Locks (fays our author) have been conftruCted, and are at prefent much ufed and held in great efteem, from which the picklock is excluded : but the admif- fion of falfe keys is an imperfeCtion for which no lock- fmith has ever found a corrective; nor can this imper¬ feCtion be remedied whilft the protection of the bolt is wholly confided to fixed wards.'1'1 This pofition is proved by a remark, that the wards, let them be as intricate as we pleafe, muft all be exprefled on what is called the bit or web of the key : and therefore when all the varieties that can be expreffed on this bit or web have been run through, every iucceeding lock muft be the counterpart of fome other ; and confequently the fame key which opens one will open the other alfo. This is evident from the locks ufually put upon drawers ; and which, though they fhould he made to refill; the picklock, are ftill liable to be opened by ten thoufand other keys befides that appropriated to each of them. But though the variety of wards could be augmented even to infinity, ftill there could be no fecurity againtt falfe keys j for as every one of the wards muft be ex- preiTed on the web of the key. it another key with a web quite plain be made to fit the key-hole exaCtly, we have only to cover it over with fome colouring fub- ftance upon which the wards may make an imprefiion j after which, it is eafy to cut out the web in a proper manner for admitting them, when the lock will be as eafily opened by the falfe as by the true key. The firft perfon, according to our author, who had any claim to merit in the branch of lock-making, is Mr B*ron ; whofe lock he acknowledges to be by far more perfeft and fecure than any that ever appeared before : though he ftill confiders it as unfit for giving that abiblute fecurity which is to be wiflied for. His improvement confifted in the proper application of what are called tumblers. “ Thefe (fays Mr Bramah) are a kind of grapple : by which the bolt is confined, as well in its aflive as in its paftive ftation, and render¬ ed immoveable till fet at liberty by the key. One of thefe inftruments is commonly introduced into all locks that are of any ufe or value : it is lodged behind the bolt, and is governed by a fpring which afts upon the tumbler as the tumbler acts upon the bolt : The an- VOL. XII. Part I. 57 ] LOG plication therefore of any force to the tumbler, which Lock, is fuperior to the force of the fpring, will caufe it to v ' quit its hold, and fet the bolt at liberty.” In the common method of applying thefe machines, however, it matters nothing how far the tumbler is lifted above the point at which it ceafes to controul the bolt \ but it is otherwife in thofe of Mr Baron’s conftruftion. The atlion of his tumblers is circumfcribed by a cer¬ tain fpace cut in the centre of the bolt, of dimtnfions fufficient only to anfwer the purpofe intended. The fpace in which the tumbler moves is an oblong fquare $ and is not only furniihed with niches on the under fide, into which the hooks of the tumblers are forced by the fpring as in other locks, but is provided with cor- refpondent niches on the other fide, into which the hooks are driven, if any greater force be applied to the tumblers than w-hat is juft fufficient to difengage them from the bolt. Hence it becomes abfolutely neceffary, in the making of a falfe key, to conftrufl it in fuch a manner, that it may with the greateft exadfnefs give the requifite degree of preffure and no more, Mr Bramah allows that this is a very great improve¬ ment, but objedls that it is ftill poflible to frame a key which will open it as well as its own j nor w ill the ad¬ dition of any number of tumblers preclude the poftibi- lity of opening it. “ By giving (fays he) an uniform motion to the tumblers, and prefenting them with a face which exadtly tallies with the key, they ftill par¬ take, in a very great degree, of the nature of fixed wards; and the fecurity of this lock is thereby render¬ ed in a proportionable degree defedtive. Thus, fup- pofe the falfe key to have paffed the wards, and to be in contadl with the moft prominent of the tumblers, the impreffion, which the Uighteft touch will leave on the key, wdll diredt the application of the file till fuffLejent fpace is prepared to give it a free paflage. Tire key will then bear upon a more remote tumbler j which difficulty being in like manner got o\tr, the lock will beasealily opened by the falie as by the true key.” This feemingly infuperable objedlion to the ptrfec- tion of lock-making, however, our author removes with the greateft eafe imaginable, by caufing the tumblers which projedi unequally to prefent a plane furface : whence they would require a feparate and unequal mo¬ tion to difengage them j of confequence no diftindl un- preflion could be made by them upon the plane furface of the web that would give any idea of their politions with regard to one another, and the conftruftien of a falfe key would be altogether impoffible. But though the principal difficulty with regard to Mr Baron’s lock be now overcome, others ftill occur, viz. the difficulty of making locks which are conftrudl:- ed with tumblers fufficiently durable. The tumblers themfelves, he obferves, muft be but llightly made j and being expofed to perpetual fridf ion by the key and their own proper motion, they muft foon decay ; and the keys of Mr Baron’s locks, he alfo oblerves, are much lefs durable than thole of any other locks he ever faw. With regard to the lock which Mr Bramah pre- fents to the public as abfolutely perfect, he informs us, that the idea of conftrudting it was firft fugg* tied by the alarming increafe ot houie robberies, which may reafonably be fuppofed to be perpetrated in a great H meal'ure % • a LOG r 58 i LOG Lock, meafure by perfidious fervants, or accomplifhed by their —v—- connivance. Thus it is evident, that the locks which might exclude ordinary houfebreakers could be no fe- curlty againft faithlefs fervants, who having corjlant accefs to the locks, might ealily get falfe keys fabri¬ cated at their leifure. In confidering the fubjeft, our author was convinced, that his hope of fuccefs de¬ pended entirely upon his ufing means as diffimilar as poflible to thofe by which the old locks were con- ilmfted j as thele, however varied, had been found infufficient for the purpofe. “ As nothing (fays he) can be more oppofite in principle \.ofixed wards f\ax\. a lock which derives its properties from the motion of all its parts, I determined that the conlfruftion of iuch a lock Ihould be the fubjrft of my experiment.’’ In the profecution of this experiment he had the fatisfac- tion to find, that the leaft perfe£t of all his modds fully afeertaintd the truth and certainty of his prin¬ ciple. The exclufion of wards made it needfary to cut off all communication between the key and the bolt } as the fame paffage, which (in a lock, fmply conftruft- ed) would admit the key, might give admiffion like- wife-to other inftruments. The office, therefore, which in other locks is performed by the extreme point of the key, is here affigned to a lever, which cannot ap¬ proach the bolt till every part of the lock has under¬ gone a change of pofition. The neceflity of this change to the purpofes of the lock, and the ablolute impofli- bility of effecting it otherwife than with the proper key, are the points to be afeertained > and this our author does in the following manner. Fig. 1. Shows Mr Bramah’s firfl; attempt to con- ftruft a lock upon this principle : which, to his fur- prife, turned out complete and perfeft. A reprefents a common axis on which the fix levers, eroding the face of the lock, are united as on a joint. Each of thefe refts upon a feparate fpring fufficiently ftrong to bear its weight ; or, if depreffed by a fuperior force, to reftore it to its proper pofition when that force is removed. B reprefents a frame through which the levers pafs by feparate grooves, exadly fitted to their width, but of fufficient depth to allow them a free motion in a perpendicular direftion. The part which projeds from the oppofite fide of the joint A, and is inferted in the bolt C, is a lever to which two offices are affigned ; one’to keep the bolt in a fixed pofition, in the abfence of the key ; the other, to give it its proper motion upon the application of the key. D is a circular platform turning upon a centre. On this the joint or carriage of the levers, and the fprings on which they reft, are fixed ; and the motion of this plat¬ form impels the bolt, in either diredion, by means of the lever which is projeded from the joint A. The inviolable reftraint upon this lock, by which means jt is fubjeded only to the adion of the key, is lodged in the part E, which is a thin plate, bearing at each ex¬ tremity on a blocks and having of courie a vacant fpace beneath, equal in height to the thicknefs of the blocks on which it refts. By this plate the motion of the machine is checked or guided in the following manner : On the edge of the plate which faces the movement there are ftx notches which receive the ends of the levers projeding beyond the frame B j and while they are confined in this manner the motion of the machine Plate CCXGVI. is fo totally fufpended as to defy every power of art to overcome. To underftand in what manner the proper key of this lock overcomes thefe obftacles, it muft be obferv- ed, that each lever has a notch on its extremity, and that thofe notches are difpofed as irregularly as pof- lible. To give the machine a capacity of motion, thefe notches muft be brought parallel to each other, and by a diftind but unequal preffure upon the levers, be formed into a groove in a dired line with the edge of the plate E, which the notches are exadly fitted to receive. The leaft motion of the machine, while the levers are in this pofttion, will introduce the edge of the plate into the groove •, which, controuling the power of the fprings, will give liberty to the levers to move in a horizontal diredion as far as the fpace between the blocks which fupport the plate E will admit, and which is fufficient to give the machine a pow'er of ad- ing on the bolt. The impoffibility of thus bringing the notches on the points of the levers into a dired line, fo as to tally with the edge of the plate E by any other means than the motion and impulfe of the key, is that which conftitutes the principal excellency of this lock. The key (fig. 2.) exhibits fix different furfaces, againft which the levers are progreffively admitted in the operation of opening the lock : the irregularity of thefe furfaces (hows the unequal and diftind degree of preffure which each lever requires to bring them to their proper bearings, in order to put the machine in motion. Hence it appears, that unlefs the various heights of the furfaces expreffed on the bit of the key are exadly proportioned to the feveral diftances necef- fary to bring the notches into a ftraight line with each other, they muft remain immoveable •, “ and (fays our author) as one ftroke of a file is fufficient to caufe fuch a disproportion as will prove an infurmountable impediment to their motion, I may fafely affert, that it is not in art to produce a key or other inftrument, by which a lock, conftruded upon this principle, can be opened.” On this principle it would even be a matter of great difficulty for any workman, however Ikilful, toconftrud a key for the lock when open to his infpedion : 44 for the levers being raifed, by the fubjacent fprings, to an equal height in the frame B, prelent a plane furface £ and confequently convey no diredion that can be of any ufe in forming a tally to the irregular furface which they prefent when ading in fubjedfion to the key. Unlefs therefore we can contrive a method to bring the notches on the points of the levers in a dired line with each other, and to retain them in that pofition till an exad impreffion of the irregular furface, which the levers will then exhibit, can be taken 5 the workman will be unable to fit a key to the lock, or to move the bolt. This procefs muft be rendered extremely trou-> blefome by means of the fprings •, and if fuch diffi¬ culties occur, even when the lock is open to the in¬ fpedion of a Ikilful workman, much more muft we fuppofe it out of the power of one who has not accefs to the internal parts to make a falfe key to a lock of this kind. _ .... Thefe difficulties render it neceffary in making locks of this kind not to fit the key to the lock, as is ufual in Lock. LOG [ 59 ] L O 0 Lock, hi otlier locks, but to fit the lock to the key. In this kind of lock, therefore, the key mufi: be made firft j and the inequalities upon the furface of the bit work¬ ed as chance or fancy may direft, without any refer¬ ence to the lock. The key being thus completed, and applied to the furface of the levers, will, by a gen¬ tle preffure, force them to unequal ditlances from their common ftation in the frame B, and fink their points to unequal depths into the fpace beneath the plate E. While the levers are in this pofition, the edge of the plate E will mark the precife point at which the notch on each lever mull be exprelfed. The notches being cut by this direction, the irregularity which appears when the levers refume their {ration in the frame B, and the inequality of the recefles on the bit of the key, will appear as a feal and its correfponding im- preffion. The following.is a lock contrived upon the fame principle, but more curious j and, in our author’s opi¬ nion, more extenfively ufeful. Fig. 3. reprefents a circular block of metal divided from the centre into eight compartments, each containing a cell which forms a pafiage through the block, as is reprefented by the fmall circles defcribed on the flat furface A. In each of thefe cells two grooves are cut at oppofite points, which open a communication with the centre at one point, and with the fpherical furface of the block or barrel at the other. The fmall circle, which marks the centre of the fiat furface A, is the key-hole, which likewife forms a paffage through the barrel in a parallel line with the cells which furround it. This figure re¬ prefents the frame in which the aftive parts of the lock are depofited. Fig. 4. (hows a fpiral fpring lodged in the bottom of each cell, and occupying one half of the fpace, the other being filled with a Aider refiing upon the fpring, ctnd reprefented by fig. 5. the office of thefe Aiders ex¬ actly correfponding with that of the levers in the lock already defcribed. Thus, when lodged in their refpec- rive cells, they are fuAained, like the levers, by the rlaAicity of the fprings upon which they reA, till a fu- perior power be applied j and they are again reAored to their Aations by the reaction of the fprings when the weight is removed. The fide B of each Aider is projected beyond the circular furface, as reprefented tig. 6. in a manner Amilar to the proje&ion of the le¬ vers in the former lock beyond the curved frame in which they move. The point C is projected through the interior groove into the fpace which forms the cen¬ tre or key-hole, expreAed on the Aat furface A. Fig. 7. reprefents the key. Wh en this is applied, it muft of courfe encounter thefe interior projections ; and when prefled forward, the indented fpaces on its point being unequal, will force the Aiders to unequal diAances from their bearers; bringing the notches ex¬ preAed on their exterior projeftions in a direft line with each other, in a manner fimilar to that by which the eftect is produced upon the levers in the former lock. When the key is withdrawn, and the Aiders refume their fiations by the preflfure of the fprings, the difpofition of the notches muft be irregular in the fame proportion that the indentations on the point of the key are un¬ equal ; and they muft neceftarily fall again into a flraight line when acfed upon by the key. iig. 6. Aiows 'the barrel completely fitted for aftion. Its interior end is caped with a plate, which unites its compartments, and confines the fprings and Aiders within the cells to which they belong. From that plate proceeds the point A, which reprefents the lever by which the bolt is projected or withdrawn, according to the direftion in which the machine performs its re¬ volution. Fig. 8. (hows the Aat furface of a thin plate, corre¬ fponding in its office with the part C of the former lock. The fpace cut in its centre is exadtly fitted to tile fpherical furface of the barrel; the circle defcribing its circumference, and the notches cut on its edge co¬ inciding with the projections of the Aiders. The barrel, when encircled with this plate at the middle of its fphe¬ rical furface, has its motion totally fufpended till the notches on the projections of the Aiders are forced, by the preffure of the key, into a line with each other : a groove being thus formed on the fpherical furface of the barrel parallel to, and coinciding with, the edge of the plate, the machine is at liberty to perform a revolution in any direction, but returns to its confined Aate when the key is withdrawn. The parts of the movement being thus united, the interior end of the barrel is depofited in a bed repre¬ fented fig. 9. To this it is fafiened at the angles of the plate reprefented fig. 8. by which the barrel is en¬ circled. The ftation of the bolt is at A ; the lever which ads upon it being projected on the other fide. Fig. 10. is a cap or mafic which covers the face of the movement, and completes the lock. On this lock our author obferves, that it is excellent for ftreet doors : “ For no method of robbery (fays he) is more praCtifed, than gaining admittance into houfes by thofe keys, which, as is well known, may be pro¬ cured at the old iron fiiops to fit almoft any lock in ufe. Such robberies are generally committed where the fervants are allowed to take the key with them when fent on errands, it being impraClicable while the key is fixed in the lock. The variations, by which the produClion of correfpondent keys is avoided, have two fources; the one arifing from the changes that may be made in the difpofition of the levers; the other from the number of points contained on the projected fur¬ face of each lever ; by which the pofition of its notch may, in the fmallelt degree, be varied. “ The variations produceable in the difpofitions of fix figures only, are 720 : thefe, being progrefiively multiplied by additional figures, will increafe by afio- nifhing degrees ; and eventually (how, that a lock con¬ taining twelve levers will admit of 479,001,500 changes; which, with the addition of another lever, will increafe to 6,227,020,800. Thefe being again multiplied by the number of changes which the projected furface of the levers will admit in the difpofition of the notches, their amount will exceed numeration, and may there¬ fore be properly faid to be infinite. The flighted; in- fpcCtion will at once (how, that their eonfiruCtion pre¬ cludes all poffibility of obtaining an-imprefiion of their internal parts, which is neceffary for the fabrication of a falfe key ; for it will be eafily fecn, that the pofitions into which the levers are forced by the preffure of the key in opening the lock, can no more be afeertained when the key is withdrawn, than the feal can be co¬ pied from its imprefiion on a fluid, or the courfe of a (hip be difeovered by tracing it on the furface. of the H 2 waves, Lccb % Lock, Locke. L O C [ 60 \ waves. But inviolable fecurity is not tbe only excel¬ lence they polfefs •, the fimplicity of their principle gives them likewife a great advantage over locks that are more complicated, in point of duration j for their efiential parts being lubjedt to no friction, nor expofed to any poffible accident from without, they will be lefs affected by ufe, and lefs liable to ftand in need of repair.” "Lock, or JVeir, in inland navigations, the general name for all thofe works of wood or itone made to con¬ fine. and raife the water of a river: the banks alio which are made to divert the courfe of a river, are called by thefe names in iome places. But the term lock is more particularly appropriated to exprefs a kind of canal en- clofed between two gates •, the upper called by work¬ men theiluice gate, and the lower called the flood gate. Thefe ferve in artificial navigations to confine the wa¬ ter, and render the pafiage of boats eafy in paffing up and down the dream. See Canal. LOCKE, John, an eminent Englifh philofopher and writer in the latter end of the 17th century, was fon of Mr John Locke of Pensford in Somerfetfhire, and born at Wrington, near Briftol, in 1632. He was fent to Chrift-church m Oxford ; but_ was highly difiatisfied with the common courfe of ftudies then pur- fued in the univerfity, where nothing was taught but the Ariftotelian philofophy •, and had a great averfion to the difputes of the fehools then in ufe. The firft books which gave him a relifli for philofophy were the writ¬ ings of Des Cartes : for though he did not always approve of his notions, yet he thought he wrote with great perfpicuity. He applied himfelf with vigour to his ftudies, particularly to phyfic, in which he gained a confiderable knowledge, though he never praftifed it. In 16649 he went to Germany as fe- cretary to Sir William Swan, envoy from the Eng¬ lifh court to the eleftor of Brandenburg and fome other German princes. In lefs than a year, he returned to England •, where, among other fludies, he applied himfelf to that of natural philofophy, as appears from a regifter of the changes of the air, which he kept at Oxford from June 24. 1666, to March 28. 1667. There he became acquainted with the lord Afhly, afterwards earl of Shaftefbury, who introduced him in¬ to the converfation of fome of the molt eminent per- fons of that time. In 1670, he began to form the plan of his Effay on Human Underflanding *, but his employments and avocations prevented him from firufh- ing it then. About this time he became a member of the Royal Society. In 1672, his patron, now earl of Shaftefbury, and lord chancellor of England, appoint¬ ed him fecretary of the prefentations, which place he held till the earl refigned the great feal. In 1673, he was made fecretary to a commiflion of trade, worth wlien tlie bear5ng the common log is to the fright ^ tbe cornPounc^ log. Or thus : the lengths run off both logs, toge¬ ther with their bearings, being known j in a card or compafs apply the knots run off, taken from a (bale of equal parts along their refpeftive hearings from the centre j join the ends j and in this line produced, on the fide next the compound log’s length, take one- fourth of the interval ; then a line drawn from the end, thus produced, to the centre of the card, will (how the true courfe and diftance made good. When, a current, fuch as a tide, runs to any depth, the velo¬ city of that current may be much better afcertained by the compound log than by the common one, provid¬ ed the diver does not defcend lower than the run of the current 5 for as. thole (hips which are deepeft im- merged, drive fafteft with the tide ; fo the diver, by being afted on below, as well as the log on the fur¬ face, their joint motion will give the total effeft of the current’s motion better than what could be derived from the motion at the furface only. Alfo, by fuch a compound log, the depth to which any current runs may be eafily tried. Other LOGS. We have an account in the voyage to the North C L O G. plate cexrvu. Lo£. Plate CCXCVTI. fig. r. LOG [ 63 ] LOG North Pole, p. 97. of two other logs, which were tried by Captain Phipps: one invented by Mr Ruffel, the other by Foxonj both conftrufled upon this principle, that a fpiral, in proceeding its own length in the direc¬ tion of its axis through a relifting medium, makes one revolution round the axis j if therefore the revolutions of the fpiral are regiftered, the number of times it has gone its own length through the water will be known. In both thefe the motion of the fpiral in the water is communicated to the clockwork within board, by means of a fmall line fattened at one end to the fpiral, which tows it after the Ihip, and at the other to a fpindle, which fets the clockwork in motion. That invented by Mr Ruflel has a half fpiral of two threads, made of copper, and a fmall dial of clockwork, to regifter the number of turns of the fpiral. The other log has a whole fpiral of wood with one thread, and a larger piece of clockwork with three dials, two of them to mark the diftance, and the other divided into knots and fathoms, to Ihow the rate by the half-mi¬ nute glafs, for the convenience of comparing it with the log. This kind of log will have the advantage of every other in fmooth water and moderate wea¬ ther ; and it will be ufeful in finding the trim of a fhip when alone, in fijrveying a coaft in a fingle fhip, or in meafuring diftances in a boat between head¬ lands and ftioals ; but it is fubjeft to other inconve¬ niences, which will not render it a proper fubftitute for the common log. Perpetual Log, a machine fo called by its inventor, Mr Gottlieb of London, is intended for keeping a con- ftant and regular account of the rate of a fliip’s velo¬ city in the interval of heaving the log. Fig. I. is a reprefentation of the whole machine j the lower part of which, EFG, is fixed to the fide of the keel ; H reprefenting only the boundary line of the fhip’s figure. EF are the feftion of a wooden external cafe, left open at the ends KL, to admit the paflage of the water during the motion of the fhip. At M is a copper grating, placed to obftrudl the entrance of any dirt, &c. into the machine. I is a feiftion of a water wheel, made from 6 to 12 inches in diameter, as may be neceffary, with floatboards upon its circum¬ ference, like a common water wheel, that turn by the refiftance of the water palling through the channel LK. It turns upon a fhouldered axis, reprefented by the vertical fe&ion at K. When the fhip is in motion, the refiftance of the water through the channel LK turns round the wheel I. This wheel, by means of a pinion, is conne£fed with and turns the rod contained log. in the long copper tube N. This rod, by a pinion fixed at its upper extremity, is connedted with and turns upon the whole fyftem of wheels contained in the dial of the cafe ABCD. This dial, by means of the copper tube N, may be fixed to any convenient place aboard the ihip. In the front of the dial are feveral ufeful circular graduations, as follow : The re¬ ference by the dotted line A has a hand which is moved by the wheels within, which points out the mo¬ tion of the fhip in fathoms of 6 feet each. The circle at B has a hand fhowing the knots, at the rate of 48 feet for each knot: and is to be obferved with the half¬ minute glafs at any time. The circle at C has a fhort and a long hand ; the former of which points out the mile in land meafure, and the latter or longer the number of knots contained in each mile, viz. 128, which is in the fame proportion to a mile as 60 minutes to the hour in the reckoning. At e, a fmall portion of a circle is feen through the front plate called the regi- Jler; which ftiows, in the courfe of 24 hours (if the ihip is upon one tack) the diftance in miles that Ihe has run ; and in the 24 hours the mariner need take but one obfervation, as this regifter ferves as an ufeful check upon the fathoms, knots, and miles, ftiown up¬ on the two other circles. /Is a plate ftiowing 100 degrees or 6000 miles, and alfo a£ls as another regifter or check ; and is ufe¬ ful in cafe of any miftake being made in obfervingthe diftance run by the other circles. The reckoning by thefe circles, without fear of miftake, may therefore be continued to nearly 12,000 miles. A communication from this machine may eafily be made to the captain’s bedfide, where by touching a fpring only, a bell in the head ABCD will found as many times in a half minute as the Ihip fails miles in an hour. LOG-Board, a fort of table, divided into feveral co¬ lumns, containing the hours of the day and night, the direction of the winds, the courfe of the Ihip, and all the material occurrences that happen during the 24 hours, or from noon to noon $ together with the lati¬ tude by obfervation. From this table the officers of the ffiip are furniffied with materials to compile their journals. LOG-Book, a book into which the contents of the log- board is daily copied at noon, together with every cir- cumftance deferving notice that may happen to the ftiip, either at fea or in a harbour. See Navigation. LOGARITHMS. INTRODUCTION. rTPHE labour and time required for performing the arithmetical operations of multiplication, divifion, and the extratlion of roots, were at one time confider- able obftacles to the improvement of various branches of knowledge, and in particular the fcience of aftro- nomy. But about the end of the 16th century, and the beginning of the 17th, feveral mathematicians be¬ gan to confider by what means they might fimplify thefe operations, or fubftitute for them others more eafily performed. Their eft'orts produced fome ingenious contrivances for abridging calculations j but of thefe the moft complete by far was that of John Napier Baron of Mercliijion in Scotland, who invented a fyftem of num¬ bers called logarithms, which were fo adapted to the numbers to be multiplied, or divided, that thefe being arranged in the form of a table, each oppofite to the number 64 logarithms. Introcjuc. tion. number called its logarithm, the product of any two , numbers in the table was found by the addition of their logarithms ; and, on the contrary, the quotient arifing from the divifion of one number by another was found by the fubtraftion of the logarithm of the divifor from that of the dividend 5 and timilar Amplifications took place in the ftill more laborious operations of involu¬ tion and evolution. But before we proceed to relate more particularly the circumftances of this invention, it will be proper to give a general view of the nature of logarithms, and of the circumftances which render them of ufe in calculation. Let there be formed two feries of numbers, the one conftituting a geometrical progreflion, the firft term of which is unity or 1, and the common ratio any num¬ ber whatever, and the other an arithmetical progreflion, the firft term of which is o, and the common difterence alfo any number whatever j (but as a particular ex¬ ample we {hall fuppofe the common ratio of the geome¬ trical feries to be 2, and the common difference of the arithmetical feries 1), and let the two feries be written oppofite to each other in the form of a table, thus : Geom. Prog. 1 2 ■ 4 8 16 32 64 128 256 512 J024 2048 4096 &.C. Arith. Prog. O 1 2 3 4 5 6 7 8 9 10 11 12 Stc. The two feries being thus arranged, the terms in the arithmetical feries are called the logarithms of the correfponding terms of the geometrical feries ; that is, o is the logarithm of I, and 1 is the logarithm of 2, and 2 is the logarithm of 4, and 3 that of 8, and fo on. , From the manner in which the two feries are related to each other, it will readily appear by induftion that the logarithms of the terms of the geometrical feries have the two following properties : 1. The fum of the logarithms of any two numbers or terms in the geometrical feries is equal, to the loga¬ rithm of that number, or term of the feries, which is equal to their produft. For example, let the terms of the geometrical ienes be 4 and 32 ; the terms of the arithmetical feries cor¬ refponding to them (that is, their logarithms) are 2 and 5 ; now the product of the numbers is 1:8, and the fum of their logarithms is 7 ; and it appears by inspec¬ tion of the two feries, that the latter number is the logarithm of the former, agreeing with the propofition we are illuftrating. In like manner, if the numbers or terms of the geometrical feries be 16 and 64, the lo¬ garithms of which are 4 and 6, we find from the table that io~4-f6 is ihe logarithm of 1024=16x645 and fo of any other numbers in the table. 2. The difference of the logarithms 01 any twa num¬ bers, or terms of the geometrical feries, is equal to the logarithm of that term of the feries which is equal to the quotient arifing from the divifion of the one number by the other. Take for example the terms 128 and 32, the lo¬ garithms of which are 7 and 5 j greater °f theie numbers divided by the lefs is 4> and the difference of their logarithms is 2 and by infpedling the two feries, this lait number will be found to be the logarithm of the former. In like manner, if the terms of the geometrical feries be 1024 and 16, the logarithms of which are 10 and 4» we find that 1024-^16=64, and that 10-—4-—^ > now it appears from the table that the latter number, viz. 6, is the logarithm of the former 64. Thefe two properties of logarithms, the fecond of which indeed is an immediate confequence of the firft, enable us to find with great facility the product or the quotient of any two terms of a geometiical feries to which there is adapted an arithmetical feries, fo that each number has its logarithm.oppofite to it, as in the preceding lliovt table, hor it is evident, that.to mul¬ tiply two numbers we have only to add their loga¬ rithms, and oppofite to that logarithm which is the fum we thall find the produft required. Thus, to. mul¬ tiply 16 by 128 5 to the logarithm of 16, which is 4, we add the logarithm of 128, which is 7, and op¬ pofite to the fum 11, we find 2048, the produ£l {ought. On the other hand, to divide any number in the table by any other number, we muft fubtraft tne logarithm of the divifor from that of the dividend, and look for the remainder among the logarithms, and oppofite to it we {hall find the number fought.. Thus, to. di¬ vide 2048 by 128 ; from 11, which is the logarithm of 2048 we fubtraft 7> logarithm of 128, and oppofite to the remainder 4 we find 16, the quotient fought. Let us now fuppofe any number of geometrical means to be interpofed between each two adjoining terms ol the preceding geometrical feries, and the fame number of arithmetical means between every two adjoining terms of the arithmetical feries 5 then, as the relults will ftill be a geometrical and an arithmetical feries., the in¬ terpolated terms of the latter will be the logarithms ot the correfponding terms of the former, and the two new feries will have the very fame properties as the original feries. If we fuppofe the number of interpolated means to be very great, it will follow that among the terms of the refulting geometrical feries, feme one or other will be found nearly equal to any propofed number what¬ ever. Therefore, although the preceding table exhi¬ bits the logarithms of 1, 2, 4, 8, 16, &c. but does not contain the logarithms of the intermediate num¬ bers, 3, 5, 6, 7, 9, 10, &c. yet it is eafy to. conceive that a table might be formed by interpolation, which {hould contain, among the terms of the geometrical fe¬ ries, all numbers whatever to a certain extent, (or at leaft others very nearly equal to them) together with their logarithms. If fuch a table were conftruaed, or at leaft if fuch terms of the geometrical progreflion were found together with their logarithms, as were either accurately equal to, or coincided nearly with, all num¬ bers LOGARITHMS, Introduc- bers within certain limits (for example between I and tion. 100000), then, as often as we had occafion to multiply or divide any numbers contained in that table we might evidently obtain the produfts or quotients by the lim- ple operations of addition and fubtraftion. The firft invention of logarithms has been attributed by fome to Longomontanus, and by others to Jujle Byrge, two mathematicians who were cotemporary with Lord Nopier ; but there is no reafon to fuppofe that either of thefe anticipated him, for Longomontanus never publidl¬ ed any thing on the fubjeft, although he lived thirty- three years after Napier had made known his difeovery j and as to Bi/rge, he is indeed known to have printed a table containing an arithmetical and a geometrical pro- greflion written oppofite to each other, fo as to form in effect a fyftem of logarithms of the fame kind as thofe invented by Napier, without however explaining their nature and ufe, although it appears from the title he intended to do fo, but was probably prevented by fome caufe unknown to us. But this work was not printed till 1620, fix years after Napier had publifhed his dif¬ eovery. It is therefore with good reafon that Napier is now univerfally confidered as the firft, and moft probably as the only inventor. This difeovery he publilhed in the year 1614 in a book entitled Miri/ici Logarithmorum Canonis Defcriptio, but he referved the conftruftion of the numbers till the opinion of the learned concerning his invention ftiould be known. His work contains a table of the natural fines and cofines, and their loga¬ rithms for every minute of the quadrant, as alfo the differences between the logarithmic fines and cofines, which are in effeift; the logarithmic tangents. There is no table of the logarithms of numbers •, but precepts are given, by which they, as well as the logarithmic tan¬ gents, may be found from the table of natural and lo¬ garithmic fines. In explaining the nature of logarithms, Napier fup- pofes fome determinate line which reprefents the radius of a circle to be continually diminifhed, fo as to have fucceflively all poffible values, and thus to be equal to every fine, one after another, throughout the qua¬ drant. And he fuppofes this diminution to be effected by a point moving from one extremity towards the other extremity, (or rather fome point very near it), with a mo¬ tion that is not uniform, but becomes flower and flower, and fuch, that if the whole time between the beginning and the end of the motion be conceived to be divided into a very great number of equal portions, the decre¬ ments taken away in each of thefe ftiall be to one ano¬ ther as the refpe&ive remainders of the line. Accord¬ ing to this mode of conceiving the line to decreafe, it is eafy to {hew that at the end of any fucceflive equal in¬ tervals of time from the beginning of the motion, the portions of the line which remain will conftitute a de- creafing geometrical progreflion. Again, he fuppofes another line to be generated by a point which moves along it equably, or which paffes over equal intervals of it in equal times. Thus the por¬ tions of the line generated at the end of any equal fuc¬ ceflive intervals of time from the beginning of the mo¬ tion will form a feries of quantities in arithmetical pro¬ greflion. Now’ if the two motions be fuppofed to be¬ gin together, at the end of any equal intervals of time the remainders of the one line will form a feries of Vol. XII. Part I. 6 quantities in geometrical progreflion, and the corref- Introduc- ponding portions generated of the other line, will con- t100’ ftitute a feries in arithmetical progreflion, fo that the latter will be the logarithms of the former. And as the terms of the geometricwl progreflion decreafe con¬ tinually from radius, which is the greateft term, to o, while the terms of the correfponding arithmetical pro¬ greflion increafe from o upwards, according to Napier’s iyftem the logarithm of radius is o, and the logarithms of the fines from radius down to o, are a leries of numbers increafing from o to infinite. The velocities or degrees of quicknefs with which the motions commence may have to each other any ratio whatever, and by afluming different ratios we fhall have different fyftems of logarithms. Napier fuppofed the velocities to be equal $ but the fyftem of logarithms produced in confequence of this affumption having been found to have fome difadvantages, it has been long dif- ufed, and a more convenient one fubftituted inftead of it, as we {hall prefently have occafion to explain. Napier’s work having been written in Latin was tranftated into Englilh by Mr Edward Wright, an in¬ genious mathematician of that period, and the inventor of the principles of what is commonly though errone- oufiy called MercatoNs failing. The tranflation w'as fent to Napier for his perufal, and returned with his approbation, and the addition of a few lines, intimating that he intended to make fome alterations in the fyftem of logarithms in a fecond edition. Mr Wright died foon after he received back his tranflation ; but it was publiftied after his death, in the year 1616, accom¬ panied with a dedication by his fon to the Eaft India Company, and a preface by Henry Briggs, who after¬ wards diftinguilhed himfelf fo much by his improvement of logarithms. Mr Briggs likewife gave in this work the defeription and draught of a fcale which had been invented by Wright, as alfo various methods of his own for finding the logarithms of numbers, and the contrary, by means of Napier’s table, the ufe of which had been attended with fome inconvenience on account of its con¬ taining only fuch numbers as were the natural fines to every minute of the quadrant and their logarithms. There was an additional inconvenience in ufing the table, arifing from the logarithms being partly pofitive and partly negative ; the latter of thefe was, however, well remedied by John Speidell in his New Logarithms, firft publiftied in the year 1619, which contained the fines, cofines, tangents, cotangents, fecants, and cofe- cants, and given in fuch a form as to be all pofitive j and the former was ftill more completely removed by an additional table, which he gave in the fixth impreflion of his work, in the year 1624, and which contained the logarithms of the whole numbers 1, 2, 3, 4, &c. to 1 coo, together with their differences and arithmetical complements, &c. This table is now commonly call¬ ed hyperbolic logarithms, becaufe the numbers ferve to / exprefs the areas contained between a hyperbola and its afymptote, and limited by ordinates drawn parallel to the other afymptote. This name, however, is cer¬ tainly improper, as the fame fpaces may reprefent the logarithms of any fyftem whatever, (fee Fluxions, § 152. Ex. 5.). In 1719 Robert Napier, fon of the inventor of lo¬ garithms, publiftied a fecond edition of his father’s Logarithmorum Canonis Defcriptio. And along with I this LOGARITHMS. 66 IntrodiK- this the promifed Lcgaritkmorum Canoms ConfiruBw, tion. and other pieces written by bis father and Mr Briggs. An exaft copy of the fame two works in one volume was alfo printed in 1620 at Lyons in France. In 1618 or 1610 Benjamin Uijinus, mathematician to the eleftor of Brandenburg, publilhed Napier’s tables of logarithms in his Curjus Nlatheifiaticus^ to which he added fome tables of proportional parts j and in 1624, he printed his Trigonometric!, with a table of natural fines, and their logarith'.ls of the Napierean kind and form, to every ten feconds of the quadrant. In the fame year, 1624, the celebrated John Kepler publilhed at Marpurg, logarithms of nearly the fame kind, under the title of Chitias Logarithmorum ad to- lidem Numeros Rotundas, preemijfa Uemonflratione legi- tima Orlus Logarilhmorufn eorumque U/us, &c. and in the following year he publilhed a fupplement to this work. In the preface to this lalt he lays, that feveral of the profefiors of mathematics in Upper Germany, and more efpecially thofe of them who were fomewhat advanced in years, and were grown averle to new me¬ thods of reafoning that carried them out of the old doc¬ trines and principles with which habit had rendered them familiar, doubted in fome degree whether Napier’s demonftration of the property of logarithms was perfeft- ly true, and whether the application of them to trigo¬ nometrical calculations mignt not be unfafe and lead the calculator who Ihould truft in them to erroneous refults j and in either cafe, whether the doftrine were true or not, they confidered Napier’s demonllration of it as illegitimate and unfatisfatlory. This opinion in¬ duced Kepler to compote the above-mentioned work, in which the whole do&rine is treated in a manner ftriftly geometrical, and free from the confiderations of motion which the German mathematicians had objefted to {and not without reafon) in Napier’s mode of treating the fubjeft. On the publication of Napier’s logarithms, Mr Henri/ Briggs, fome time profeffor of geometry in Grefham college London, and afterwards Savilian profeffor of geometry at Oxford (whom we have already mentioned) applied himfelf with great earneltnefs to their ftudy and improvement, and it appears that he had projected at an early period that advantageous change in the fyftem ‘which has fince taken place. From the particular view which Napier took of the fubjea, and the manner in which he conceived logarithms to be generated, it hap¬ pened that in his fyftem, the logarithms of a feries of numbers which increafed in a decuple ratio, (a* 1, xo, 100, iooo,*&c.) formed a decreafing arithmetical feries, the common'' difference of the terms of which was 2.3205851. But it occurred to Briggs that it would be better and more conformable to the received deci¬ mal notation, to adopt a fyftem in which the logaritnms of the terms tjf fuch a geometrical feries ftiould differ from each other by unity or 1. I his idea Briggs com¬ municated to the public in his leftures, and alfo to Napier himfelf. He even went twice to Edinburgh to fee him, and to converfe with him upon the fubjeft , and on his firft vifit Napier faid that he had alfo form¬ erly thought of the fame improvement, but that he chofe to publiih the logarithms he had previoufly cal¬ culated. till fuch time as his health and convenience would allow him to make others more commodious. And whereas in the change which Briggs propofed, it was intended to make the logarithms of the fines to in- creaie from o (the logarithm of radius) to infinity, while the fines themfelves ftiould decreafe, it was fug- gefted to him by Napier that it would be better to make them increafe fo that o, inftead of being the lo¬ garithm of radius, (hould be the logarithm of 1 j and that icoooo, &c. {hould be the logarithm of radius } and this Briggs admitted would be an improvement j and having changed the numbers he had already cal¬ culated fo as to make them fuit Napier’s modification of his plan, he returned with them next year to Edin¬ burgh, and fubmitted them to his perufal. It appears therefore that Briggs was the inventor of this improved fyftem of logarithms which has fince been univerfally adopted, and that the only {hare that Napier had in it was his fuggefting to Briggs to begin with the low number i, and to make the logarithms, or the artificial numbers, as Napier had always called them, to increafe with the natural numbers, inftead of decreafing, which made no alteration in the figures, but only in their affeftions or figns, changing them from negative to pofitive. On Briggs’s return from Edinburgh, in 1617, he printed the firft thoufand logarithms to eight places of figures, befides the index, with the title of Logarithmo¬ rum Chilias prima; but thefe feem not to have been publiftied till after the death of Napier, which happen¬ ed in 1618, for in his preface he expreffes a hope, that the circumftances which led to a change in the fyftem would be explained in Napier’s pofthumous work, which was prefently to appear. But although Napier had in¬ timated in a note he had given in Wright’s tranflation of the Canon Mirificus, as well as his Rabdologia, print¬ ed in 1617, that he intended to alter the fcale, yet he altogether omits to ftate that Briggs either was the firft to think of this improvement, or at leaft to publifti it to the world. And as the fame filence on this point was obferved in Napier’s pofthumous work publiflied in 1619 by his fon, Briggs took occafion in the preface to his Arithmetic a Logarithm'ica to affert his claims to the improvement he had now carried into execution. The ftudied filence which Napier feems to have ob¬ ferved refpefting the improvement of the fyftem, which Briggs had communicated to him, has given juft reafon- to fufpeft that he wilhed to be confidered as the author of that improvement, as well as the original inventor. But although it is poflible that he thought of it as foon as Briggs, it would feem to have been no more than juftice, if, when announcing his intended change of the fcale, he had acknowledged that the fame idea had occurred to Briggs as well as to himfelf. In 1620 Mr Edmund Gunter publilhed his Canon of Triangles, which contains the artificial or logarithmic fines and tangents to every minute to feven places of figures befides the index, the logarithm of radius being jo. Thefe logarithms are of the kind which had been agreed upon between Napier and Briggs, and they were the firft tables of logarithmic fines and tangents that were publilhed of this fort. Gunter alfo in 1623 re' printed the fame in his book de SeBore et Radio, toge¬ ther with the Clulias prima of Briggs ; and in the fame year he applied the logarithms of numbers, fines, and tangents, to ftraight lines drawm upon a ruler. This inftrument is now in common ufe for navigation and other purpofes, and is commonly called GunuTs fcale. The LOG AR Introduc- The dircoveries in Logarithms were firft carried to tion. France by Mr Edmund Wingate, but not firft of all as fayS ;n the preface to his book. He publiihed at Paris in 1624 two fmall trails in the French language upon logarithms, and thefe were reprinted with improve¬ ments at London in 1626. In the year 1624, Briggs publilhed his Arithmetica Logarithmic a, a ftupendous work confidering the flrort time he had been in preparing it. He here gives the logarithms of 30000 natural numbers to fourteen places of figures, befides the index namely, from 1 to 20000 and from 90000 to 100000, together with the differ¬ ences of the logarithms. He alfo gives an ample treatife on their conftruclion and ufe, and he earnelily folicits others to undertake the computation of the in¬ termediate numbers, offering to give inftrudlions, and paper ready ruled for that purpofe, to any perfon in¬ clined to contribute to the completion of fo valuable a work. By this invitation he had hopes of collefting materials for the logarithms of the intermediate 70000 numbers, while he fhould employ his time upon the Canon of Logarithmic fines and tangents, and fo carry on both works at once. Soon after this, Adrian Vlacq or Elach of Gouda in Holland completed the intermediate 70 chiliads, and republifhed the Arithmetica Logarithmica in 1627 and 1628, with thefe intermediate numbers, making in all, the logarithms of all numbers to 100,000, but only to io places of figures. To thefe was added a table of artificial fines, tangents, and fecants, to every minute of the quadrant. Briggs himfelf lived alfo to complete a table of lo¬ garithmic fines and tangents, to the 100th part of every degree, to fourteen places of figures befides the index, together with a table of natural fines to the fame parts to fifteen places, and the tangents and fecants of the fame to ten places, with the conftruftion of the whole. But his death, which then happened, prevented him from completing the application and ufes of them. However, when dying, he committed the performing of this office to his friend Henry Gellibrand, who ac¬ cordingly added a preface, and the application of the logarithms to plane and fpherical trigonometry. The work was called Trigonometria Britannica, and was printed at Gouda in the year 1633 under the care of Adrian Vlacq. In the fame year, 1633, Adrian Vlacq printed a work of his own, called Trigonometria Artificialis, Jive Magnus Canon Triangulorum Logarithmicus ad Decadas Secundorum Scrupulorum Conjirudlus. This work con¬ tains the logarithmic fines and tangents to 10 places of figures, with their differences for every ten feconds in the quadrant. It alfo contains Briggs’s table of the firft 20000 logarithms to ten places, befides the index, with their differences •, and to the whole is prefixed a defcription of the tables and their applications, chiefly extrafted from Briggs’s Trigonometria Britannica,which we have already mentioned. Gellibrand publifhed alfo, in 1635, An Injlitution Trigonometrical, containing the logarithms of the firft 10,000 numbers, with the natural fines, tangents, and fecants, and the logarithmic fines and tangents for de¬ grees and minutes j all to feven places of figures befides die index. ITHMS. 67 The writers, whofe works we have hitherto noticed, Tntroane¬ wer e for the moft part computers of logarithms. But . the fyftem beft adapted to practice being how well af- certained, and the labour of conftrucling the table ac- compliffied, fucceeding writers on the fubjeft have had little more to do than to give the tables in the moft convenient form. It is true that, in coniequence of the numerous difeoveries which-were afterwards made in mathematics, particularly in the doflrine of feries, great improvements were made in the method of com¬ puting logarithms ; but thefe, for the moft part, came too late to be of ule in the adlual conftru£lion of the table, although they might be applied with advantage to verify calculations previoufly performed by methods much more laborious. As it is of importance that fuch as have occafion to employ logarithms fliould know what works are held in eftimation on account of their extent and accuracy, we {hall enumerate the following. 1. Sherwin’s Mathematical Tables, in 8vo. Thefe contain the logarithms of all numbers to 101,000 ; and the fines, tangents, fecants, and verfed fines, both na¬ tural and logarithmic, to every minute of the quadrant. The third edition, printed in 1742, which was revifed by Gardiner, isefteemed the moft correfl 5 but, in the fifth edition, the errors are fo numerous, that no de¬ pendence can be placed upon it when accuracy is re¬ quired. 2. Gardiner’s Tables of Logarithms for all numbers to 101,000, and for the fines and tangents to every ten feconds of the quadrant ■, alfo for the fines of the firft 72 minutes to every Angle fecond, &c. This work, which is in quarto, was printed in 1742, and is held in high eftimation for its accuracy. 3. An edition of the fame work, with feme additions, printed in 1770 in Avignon in France. The tables in both editions are to feven places of figures. 4. Tables Portatives de Logarithmes, publiee d Lon- dres, par Gardiner, augmentees ct perfechonees dans leur difpojition, par M. Callet.—This work is moft beautifully printed in a fmall odlavo volume, and con¬ tains all the tables in Gardiner’s quarto volume j w ith feme additions and improvements. 5. Dr Hutton’s Mathematical Tables, containing common hyperbolic and logiftic logarithms, &c.—This work has paffed through feveral editions, under the care of the learned author : it is perhaps the moft com¬ mon of any in this country, and is defervedly held in the higheft eftimation, both on account of its accuracy, and the very valuable information it contains refpedling the hiftory of logarithms, and other branches of mathe¬ matics conne£led with them. 6. Taylor’s Table of Logarithmic Sines and Tangents to every fecond of the quadrant j to which is prefixed a table of logarithms from 1 to 100,000, &c.—This is a moft valuable work j but being a very large quarto volume, and alfo very expenfive, it is lefs adapted to general ufe than the preceding, which is an odlavo, and may be had at a moderate price. 7. Tables portatives des logarithmes, contenant les logarithmes des nombres depuis \ jufqiA a 108,000 les logarithmes des Jinus et tangentes, de feconde en feconde pour les cinq premiers degrees, de dix en dix fecondes pour tous les degrees du quart-de cercle, et fuivant la I 2 nouvelle P 311- 68 LOGAR Natuie of nouvelle divijion centejimale de dix-milheme en dix mil- Loganthms,gj,c. par Callet.—This work, which is in odavo, . ^c’ may be reafonably exptded to be very accurate, it be¬ ing printed in the ftereotype manner, by Didot. In addition to thefe, it is proper that we ihould no¬ tice a ftupendous work relating to logarithms, origi¬ nally fuggefted by the celebrated Carnot, in conjundion with Pncur de la Cote d'Or, and Brunet de Montpelier, about the beginning of the French revolution. This enterprife was committed in the year 17945 the care of Crony, a French mathematician of great eminence, who was not only to compofe tables which Jhould leave nothing to be delired with refped to accuracy, but to make them the mo ft extended and mojl Jlr iking monument of calculation which had ever been executed or ever ima- * Nicholf. gined*. It appears that two manufcript copies of the Joum. work were formed, compofed of 17 volumes large fo- feneJ 4t° and containing, befides an introdudion, the fol¬ lowing tables. 1. The natural fines for each 10,000th part of the quadrant, calculated to twenty-five places of decimals, to be publilhed with twenty-two decimals and five co¬ lumns of differences. 2. The logarithms of thefe fines, calculated to four¬ teen decimals, with five columns of differences. 3. The logarithms of the ratios of the fines to the arcs for the firft five thoufand 100,000th parts of the quadrant, calculated to fourteen decimal places, with three columns of differences. 4. The logarithms of the tangents correfponding with the logarithms of the fines. 5. The logarithms of the ratios of the tangents to the arcs, calculated like thofe of the third article. 6. Logarithms of numbers from 1 to 100,000, calcu¬ lated to nineteen places of decimals. 7. The logarithms of numbers from 100,000 to 200,000, calculated to 24 decimals, in order to be pub- lifhed to 12 decimals and three columns of differences. The printing of this work was begun at the expence of the French government, but was fufpended at the fall of the aflignats j whether it has been fince refumed we cannot pofitively fay, but it certainly is not yet completed. SECT. I. OF THE NATURE OF LOGARITHMS AND THEIR CONSTRUCTION. WE have already fhewn that the properties of loga¬ rithms are deducible from thofe of two feries, the terms of one of which form a geometrical progreflion, and thofe of the other an arithmetical progreffion j and as this manner of treating the fubjeft is Ample, it is perhaps the beft adapted of any to fuch of our readers as have not purfued the ftudy of mathematics to any great ex¬ tent. We fir all now fhew how, from the fame princi¬ ples, the logarithm of any propofed number whatever may be found. The firft ftep to be taken in conftrufting a fyftem of logarithms is to affume the logarithm of fome determi¬ nate number, befides that of unity or I, which muft ne- eeffarily be o. From the particular view which Napier took of the fubjeft, he was led to affume unity for the logarithm of the number 2.718282, by which it hap- 4 I T H M S. pened that the logarithm of 10 was 2.302585, and this Nature of affumption being made, the form of the fyftem became determinate, and the logarithm of every number fixed r . to one particular value. Mr Briggs however obferved, that it would be bet¬ ter to affume unity for the logarithm of 10, inftead of making it the logarithm of 2.718282, as in Napier's fyftem, and hence the logarithms of the terms of the geometrical progreftion i, 10, 100, 1000, 10000, &c. were neceffarily fixed to the correfponding terms of this arithmetical progreflion, O, 1, 2, 3, 4, &c. That is, the logarithm of 1 being o, and that of 10 being 1, the logarithm of 100 is 2, and that of 1000 is 3, and fo on. The logarithms of the terms of the progreffion, I, 10, 10O, 1000, &c. being thus determined ; in order to form the logarithms of the numbers between 1 and 10, and between 10 and 100, and fo on, we muft conceive • a very great number of geometrical means to be inter- pofed between each two adjoining terms of the prece- ding geometrical feries, and as many arithmetical means between the correfponding terms of the arithmetical fe¬ ries ; then, like as the terms of the arithmetical feries O, 1,2, 3, &c. are the logarithms of the correfponding terms of the geometrical feries 1, 10, ico, 1000, &c. the interpolated terms of the former will alfo be the lo¬ garithms of the correfponding interpolated terms of the latter. Now as by fuppofing the number of means in- terpofed between each two terms of the geometrical fe¬ ries to be fufficiently great, fome one or other of them may be found which will be very nearly equal to any propofed number } it is evident that to find the lo¬ garithm of fuch a number, we have only to feek for one of the interpolated means which is very nearly equal to it, and to take the logarithm of that mean as a near value of the logarithm required. As a particular example, let it be required to find the logarithm of the number 5, according to Briggs’s fyftem. Firft fep of the procefs.—The number 5 is between I and 10, the logarithms of which we already know to be o and 1 : Let a geometrical mean be found be¬ tween the two former, and an arithmetical mean be¬ tween the two latter. The geometrical mean will be the fquare root of the produfl of the numbers I and 10, which is 3.162277 ; and the arithmetical mean will be half the fum of the logarithms o and 1, which is 0.5*, therefore the logarithm of 3.162277 is 0.5. But as the mean thus found is not fufficiently near to the propofed number, we muft proceed with the opera¬ tion as follows : Second fep.—The number 5, whofe logarithm Is fought is between 3.162277, the mean laft found, and 10, the logarithms of w'hich we know to be 0.5 and I •, we muft now find a geometrical mean between the two former, and an arithmetical mean between the two latter. The one of thefe is ^7(3.162277 X10.) . 1 -l-o. c = 5.623413, and the other is —-— =0.75 j there¬ fore the logarithm of 5.623413 is 0.75. Third fep.—We have now obtained two numbers* namely Nature of namely 3.162277 and j.6234^3* °^e on each fide of Logarithm?,^ together with their logarithms 0.5 and .075, we &c* therehire proceed exaffly as before, and accordingly we find the geometrical mean,or \/ (3.162277 X 5-^23413)’ c.54-0.7 5 to be 4.216964, and the arithmetical mean,or^ ;- to be 0.625; therefore the logarithm of 4.216964 is C.625. Fourth —We proceed in the fame manner with the numbers 4.216964, and 5.623413 (one of which is lefs, and the other greater than 5) and their loga¬ rithms 0.625 and 0.75, and find a new geometrical mean, viz. 4.869674, and its correfponding arithmeti¬ cal mean, or logarithm, 0.6875* We muft go on in this way till we have found twenty- two geometrical means, and as many correfponding arithmetical means or logarithms. And that we may indicate how thefe are found from each other, let the numbers 1 and 10 be denoted by A and B, and their geometrical means taken in their order by C, D, E, &c. then the refults of the fucceffive operations will be as in the following table : LOGARITHMS. 69 found by a feries of calculations fimilar to that which Nature of A = B = C = t/ AB D = v/BC E ~ VCD F = VUE G == V-DF H = VFG I = VFH K - t/HI L = VIK M= t/KL N = VKM o = vKN P = VNO o - vop R = VOQ S = VOR T = v/OS V = 1/ OT W= t/TV X - vwv Y = -/VX Z VXY Numbers. I.OOOOOO 10.000000 3.162277 5.623413 4.216964 4.869674 5.232991 5.048065 4.958069 5.002865 4.980416 4.991627 4.997242 5.000052 4,998647 4-99935° 4.999701 4.999876 4 999963 5.000008 4.999984 4.999997 5.000003 5.000000 Logarithms. 0.0000000 I.OOOOOOO O.5OOOOOO O.75OOOOO O.625OCOO O.687 50OO °-7i875°° 0-7°3I250 °-6953i25 0.6992187 0.6972656 0.6982421 0.6987304 0.6989745 0.6988525 0.6989135 0.6989440 o 6989592 0.6989668 0.6989707 0.6989687 0.6989697 0.6989702 0.6989700 As the laft of thefe means, viz. Z, agrees with 5, the propofed number, as far at leaft as the fixth place of de¬ cimals, we may fafely confider them as very nearly equal, therefore their logarithms will alfo be very nearly equal, that is, the logarithm of 5 will be 0.6989700 nearly. In performing the operations indicated in the prece¬ ding table, it will be neceffary to find the geometrical means at the beginning to many more figures than are here put down, in order to obtain at laft a refult true to 7 decimal places. Thus it appears that the labour of computing logarithms by this method is indeed very great. It is, however, that which was employed by Briggs and Vlacq in the original conftru&ion of loga¬ rithms ; but fince the period in which they lived, others more eafy have been found, as we (hall prefently have occafion to explain. The logarithm of any number whatever may be we have juft now explained. But in conftructing the table it would only be neceffary to have recourfe to this _ method in calculating the logarithms of prime num¬ bers ; for as often as the logarithm of a number which was the produfl of other numbers, whofe logarithms were known, was required, it would be immediately obtained by adding together the logarithms of its fac¬ tors. On the contrary, if the logarithm of the product of two numbers were known, and alfo that of one of its faftors, the logarithm of the other faftor would be obtained from thefe, by Amply taking their difference. From this laft remark it is obvious, that having now found the logarithm of 5, we can immediately find that of 2 ; for fince 2 is the quotient of 10 divided by 5, its logarithm will be the difference of the logarithms of 10 and 5; now the logarithm of 10 is I, and the logarithm of 5 is 0.6989700, therefore the logarithm of 2 is 0.3010300. Having thus obtained the logarithms of 2 and 5, in addition to thofe of 10, 100, 1000, &c. we may thence find the logarithms of innumerable other numbers. Thus, becaufe 4= 2X2, the logarithm of 4 will be the logarithm of 2 added to itfelf, or will be twice the lo¬ garithm of 2. Again, becaufe 5x10=50, the loga.- rithm of 50 will be the fum of the logarithms of 5 and. 10. In this manner it is evident we may find the lo¬ garithms of 8=2 X 4, °f 16=2 X 8, of 25=5 X 5* ant^ of as many more fuch numbers as we pleafe* Befides the view we have hitherto taken of the theo¬ ry of logarithms, there are others under which it has been prefented by different authors. Some of thefe we proceed to explain, beginning with that in which they are defined to be the meafures of ratios ; but to fee the propriety of this definition, it muft be underftood what is meant by the meafure of a ratio. According to the definition of a compound ratio, as- laid down by writers on geometry, if there be any num¬ ber of magnitudes A, B, C, D, which are continual proportionals, or fuch that the ratio of A to B is equal to the ratio of B to C, and that again is equal to the ratio of C to D, and fo on, the ratio of the firft of thefe magnitudes A to the third C is confidered as made up of two equal ratios, each equal to the ratio of the firft A to the fecond B. And in like manner the ratio of the firft A to the fourth D is confidered as made up of three equal ratios, each equal to the ratio of the firft to the fecond, and fo on. (See Geometry, Seel. III. Def. IQ, II, and 12,). Thus, to take a par¬ ticular example in numbers, becaufe the ratio of 81 to 3 may be confidered as made up of the ratio of 81 to 27, and of 27 to 9, and of 9 to 3, which three ratios are equal among themfelves, (Geometry, Se£l. III. Def. 4.) the ratio of 81 to 3 will be triple the ratio of 9 to 3 ; and in like manner the ratio of 27 to 3 will be double the ratio of 9 to 3. Alfo, becaufe the ratios of 1 coo to 100, 100 to IQ, 10 to 1, are all equal, the ratio of 1000 to 1 will be three times as great as the ratio of 10. to 1 ; and the ratio of 100 to 1 will be twice as great; and fo on. Taking this view of ratios, and confidering them as a particular fpecies of quantities, made up of others of the fame kind, they may evidently be compared with each other, in refpedl of their magnitudes, in the fame manner as we compare lines or quantities of any kind whatever.. Logarithms, Sic. LOGARITHMS. 7° . . Nature of whatever. And as when eftlmating the relative mag- Loganthmf, njtuc}es 0f two quantities, two lines for example, if . ^~c' we find that the one contains five fuch equal parts as the other contains feven, we fay the one line has to the other the proportion of 5 to 7 j to, in like manner, if two ratios be fuch, that the one can be refolved into five equal ratios, and the other into feven of the fame ratios, we may conclude that the magnitude of the one ratio is to that of the other as the number 5 to the number 7 ; and a fimilar conclufion may be drawn, when the ratios to be compared are any multiples whatever of fume other ratio. It is well known that there may be lines and other quantities, which, as they admit of no common meafure, are faid to be incommenfurable to each other j and the fame will alfo happen to ratios : 'lhat is, there may be two ratios fuch that into whatever number of equal ra¬ tios the one is divided, the other cannot poflibly be ex- aftly equal to a ratio compofed of any number of thefe. We may however conceive the number of equal ratios into which the one is divided to be fo great, that a cer¬ tain number of them (hall compofe a ratio more nearly equal to the other ratio than by any aflignable differ¬ ence. Therefore, like as we can always find numbers which (hall have among themfelves, either accurately, or as nearly as we pleafe, the fame ratios as any num¬ ber of lines or other magnitudes have to each other, and which therefore may be taken as the meafures or reprefentatives of the lines 5 fo alfo, correfponding to any fyftem of ratios, there may be always found a feries of numbers which will have the fame proportions a- mong themfelves as the ratios have to each other, and Avhich may in like manner be called the meafures of the ratios. Let us now fuppofe that unity, or I, is affumed as the common eonfequent of all ratios whatever j and that the ratio 6f 10 (or feme particular number) to 1 is compounded of a very great number of equal ratios, as for example 1000,000 : then, as each of thefe will be very near to the ratio of equality, (for it will be the ratio of the firft term to the fecond of a feries of one million and one continued proportionals, the firft of which is 10 and laft 1), it will follow, and is eafy to conceive, that the ratios of all other numbers to unity will each be very nearly equal to fome multiple of that fmall ratio. And by fuppofing the number of fmall equal ratios of which the ratio of 10 to 1 is compofed to be fufficiently great, the ratios of all other numbers to unity may be as nearly equal to ratios which are multiples of that fmall ratio as we pleafe. Let us ftill fuppofe, however, for the fake of illuftration, that the number of fmall ratios contained in that of 10 to 1 is 1000,000} then, as it may be proved that the ratio of 2 to 1 will be very nearly the fame as a ratio compofed of 301030 of thefe ; and that the ratio of 3 to 1 will be nearly equal to a ratio compofed of 477121 of them, and that the ratio of 4 to 1 will be nearly equal to a ratio compofed of 602060 of them, and fo on ; thefe numbers, viz. 1000000, 301030, 477121, and 602060, or any other numbers proportional to them, will be the meafures of the ratios of 10 to 1, 2 to 1, 3 to 1, and 4 to 1, refpeftively ; and the fame quantities will alfo be what have been called the logarithms of the ratios; for the wmrd logarithm, if regard be had to its etymology, is eegifyw/, or the numbers of fmall and equal ratios (or ratiuncu/ce as they have been called) con- Nature of tained in the feveral ratios of quantities one to another. We have for the fake of illuftration, aiTumed locoooo c' as the meafure of the ratio of 10 ta 1, by which it hap¬ pens, as already obferved, that the meafures of the ratios of 2 to 1, 3 to 1, &c. are 301030 and 477121 refpeftively ; as, however, thefe meafures are not abfo- lute, but relative quantities, we may afiume any other numbers whatever inftead of thefe, provided they have the fame proportions to each other as thefe numbers have among themfelves. Accordingly, we may affume 1 as the meafure or logarithm of the ratio of i o to 1 ; and then the logarithms of the ratios of 2 to 1, 3 to 1, Sec. inftead of being 301030, 4771 21, &c. w ill be .301030 and .477121, &c. refpeftively, that is, each will be the one-millionth of what it was before. In Briggs'1 s fyftem, the logarithm of the ratio of 10 to 1, or, to (peak briefly, the logarithm of 10, is unity; but we are at liberty to aflume any number whatever, as that whofe logarithm (hall be unity. Napier, in con- fequence of his particular views of the fubjefl, chofe the number 2.718282 ; and hence it happens that the logarithms of the ratios are expreffed by different num¬ bers in the twro fyftems. It yet remains for us to (hew the identity of the pro¬ perties of logarithms, as explained in the two different viewrs we have now given of the fubjeft ; and this may be done as follows. Let A and B denote any two numbers. The ratio of their product to unity, that is, the ratio of A X B to 1, is compounded of the ratio of A X B to B, and of B to 1; (fee Geometry, Part III. Def. xo.) but fince AxB, B, A, and 1 are four proportionals, the ratio of Ax B to B is equal to the ratio of A to 1. There¬ fore the ratio of A X B to 1 is compounded of the ratio of A to 1 and of B to 1 ; and confequently the logarithm of the ratio of A X B to I will be equal to the fum of the logarithms of the ratios of A to I, and of B to I ; or, in other word's, the logarithm of A X B will be the fum of the logarithms of A and B. And becaufe log. (AxB)=rlog. A + log. B, there¬ fore, log. B—log. (AxB)—log. A. In this equation C let — be fubftituted for B, and D for A, then, (be- C C caufe A x,B=D X jj=C) we have log. — =log. C— log. D. We have now given a ftxort (ketch of the theory of logarithms as deducible from the doftrine of ratios. It was in this way that the celebrated Kepler treated the fubjeft according to the ftrifteft rules of geometri¬ cal reafoning; and in this he has been followed by Mer¬ cator, Halley, Cotes, as w'ell as by other mathemati¬ cians of later times, as by Mr Baron Maferes, in his “ Elements of Plane Trigonometry,” a work in which the whole theory of logarithms is treated with all that perfpicuity and accuracy which charaflerize the ingeni¬ ous author’s various w ritings. The fame mode of treat¬ ing the fubjeci was likewife adopted by that excellent geometrician Dr Robert Simfon, as appears by a (hurt traifl: in Latin, written by him and publilhed in his poft- humous works. As, however, the doftrine of ratios is of a very abftra£t nature, and the mode of reafoning up¬ on which it has been eftabliftied is of a peculiar and fubtle kind, we prefume that the greater number of readers L O G A R Nature of readers will think this view 'of the fubjeft lefs fnnple Logarithms, an(^ natural than the following, in which we mean to ^c‘ , deduce the theory of logarithms, as well as the manner of computing them, from the properties of the exponents of powers. If we attend to the common fcale of notation in arithmetic, we {hall find that it is fo contrived as to exprefs all numbers whatever by means of the powers of the number xo, w hich is the root of the fcale, and the nine digits which ferve as coefficients to thefe powers, Thus, if R denote 10, the root of the fcale, fo that R2 will denote xoo, and RJ 1000, and fo on, the number 471509 is otherwdfe expreffed by 4R*-J- ^R^-j-iR3 4-5R2-[-oRt-f-9R0» which is equivalent to 4RS.I-7R4-J-R3 _{_5R4-|-9. Again, the mixt number 371.243 is expreffed by 3R, + 7Rl+RO+^_+ A, or by 3R1+7R1 + R°-{-2R—1+4R“'2-f3R_3. As to vulgar fraffions, by transforming them to deci¬ mals, they may be expreffed in the fame manner. Thus 4=.37j=3R-,+7R-s+jR-'3. Alfo 4= .666, &c.=6R “,+6R-I+6R—-5+ &c. Although the number xo has been fixed upon as the root of the fcale of notation, any other number may be employed to exprefs all numbers whatever in the fame manner j and fome numbers are even preferable to 10. Thus, 'making 8 the root of a fcale, and de¬ noting it by R, the number 2735, when expreffed ac¬ cording to this fcale, is 5R1-f-2R2-}-5RI-}-7^0» or 5R3-j-2R:! +5R+7 ; and here we may obfexve, that if a number greater than 10 were affumed as the root of the fcale of notation, it would be neceffary to adopt fome new numeral charafters in addition to thofe in common ufe, and if a fmaller number were affumed, we might difpenfe with fome of thofe we already have. But inllead of exprefiing all numbers by the fums of certain multiples of the fucceffive powers of fome par¬ ticular number, we may alfo exprefs them, if not accu¬ rately, at leaft as near as we pleafe, by a fingle powrer, whole or fraftional, of any pofitive number whatever, which may be either whole or fraftional, but muff not be unity. Let us take, for example, 2 as the number, by the powers of which all others are to be expreffed. Then it may be (hewn that the numbers 1, 2, 3, &c. are all expreffible by the powers of 2, as follows. 1 — 2° 2— 21 3 —2I,j:84PiS, nearly 4=2* 5—21,3”9, nearly 6_2’-ss496 nearly 7— 22*®073 nearly 8=2* p—23.1699 lorz23-J219 nearly, and fo on. And if inftead of 2 we take the number 10, then we have 1 = 10° 6= 1 O'77813 2=io-30103 y-io-scrio 3~ 1 o’4771* 8=io-9°309 4=rio*s020 rtS power of r which is equal to —therefore, A—B is the logarithm of ^ j hence, if one number a be divided by another number b, the excefs of the logarithm of the divi¬ dend above that of the divifor is equal to the logarithm of the quotient —. Let n exprefs any number whatever, then, railing both fides of the equation a—r^ to the «th power, w e have (rA)’z = r"Aj but here « A is manifeftly the logarithm of an •, therefore, the logarithm of a”, any power of a number, is the product of the logarithm of the number by n, the index of the power. And this mujl evidently be true, whether that index be a whole num¬ ber, or a fraBion, either pofitive or negative. From thefe properties it is eafy to fee in what man¬ ner a table that exhibits the logarithms of all numbers within certain limits may be applied to {amplify calcula¬ tions : for fince the fum of the logarithms of any two numbers is equal to the logarithm of their produCl, it follows, that as often as we have occafion to find the produdt of tw'o or more numbers, we have only to add their logarithms into one fum, taking them from the table, and to look in the table for the number whofe logarithm is equal to that fum, and this number will be the produCt required. Alfo, becaufe the exee.fs of the logarithm of the dividend above that of the divifor is equal to the logarithm of the quotient \ as often as we have occafion to divide one number by another, we have only. 72 logarithms. A' R ' ’ 1. Nature of only to fubtraft the logarithm of the divifor from that Logarithms,tj^e dividend, and oppofite to that logarithm m . ^c' the table, which is the remainder, we {hall find the quotient. ... As the logarithm of any power of a number is the produft of the logarithm of the number, and the in¬ dex of the power *, and on the contrary, the logarithm of ?ny root of a number is the quotient found by di¬ viding the logarithm of the number by the index of the root j it follows, that we may find any power or root of a number, by multiplying the logarithm of the number by the index of the power, or dividing it by the in'^eX of the root, and taking that number in the table whofe logarithm is the produft or quotient for the power or root required. If in the equation (where a is any number, A its logarithm, and r the bafe of the fyftem) we fup- pofe <7=1, then, in this cafe \ but this equation can only be fatisfied by putting A=o. Hence it ap¬ pears, that in every fystem of logarithms, the logarithm of unity tnujl be o. If on the other hand we aflume a—r ; then w'e have the equation r=rA", which is im¬ mediately fatisfied by putting A=l *, therefore, the lo¬ garithm of the bafe, or radical number of every fystem, is neceffarilij unity. If we fuppofe r to be a pofitive number greater than unity, and a a pofitive number greater than unity, then A wdll be a pofitive number j for if it be negative we A7 R I t Nature 0? — = Tv;, and A : A'(: : R/ : R) : : ff : -nr* Logarithms, A R'’ R R &C. Hence it appears, that the logarithm of a number, taken according to one fystem, has to its logarithm, taken^ ac¬ cording to any other fystem, aconfant ratio,.’which is the fame as that of the reciprocals of the logarithms of the radical numbers of thofe fystems, taken according to any fystem whatever. Let us next fuppofe, that a and b are two numbers, and A and B their logarithms, taken according to the fame fyftem, andr the bafe of the fyftem j then becaufe —. r*=b; i AB _ A.B t A. we have r ~ a , r —£ , A therefore aB=bx, and 3> +(£-Stc.)x*, + &c. which equation, by fubftituting , a* a* « , r1 ::= + A" »3 +4Aw¥2;3 + &c. I 4- A"' 524 4- &.C. J ' i-{-A^-f-A'**-f- A^a?3 -}- A"'x* &c. -j-Az4-A1x^4" AA'a?1^-}-AA'^z 4- &c. rr < +AV4.AA^4-AAV^+ &c. 4- A" is3 4-AA,'Afis3 -{- &c. 4_ Aw z4 -J- &-c* Now as the quantities A, A', A", &c. are quite inde¬ pendent of x and xs, the two fides of the equation can Vol. XII. Part I. only be identical upon the fuppofition that the coeffi- Nature of cients of like terms in each are equal; therefore, felting Logan^rn5* afide the firft line of each fide of the equation, becaufe t _ ^ - ■ their terms are the fame, and a!ro the firft term of the fecond line, for the fame reafon, let the coefficients of the remaining terms be put equal to one another, thus we have Ai=2A/ AA'=3A'/ AA"=4Aw ‘ &c. r and hence we have A'=- A"— A* 1 . 2 A} Ii2 A'"= •3 A4 1.2.3.4 &c. Here the law of the coefficients A, A', A"', See. is obvious, each being formed from the preceding by mul¬ tiplying it by A, and dividing by the exponent of the power of A which is thus formed. Let thefe values of A', A", &c. be now fubftituted in the equation 3'=r*:=i-{-AAr-f-A',¥*-hA/',¥1+ See. and it becomes, , a , A* » y— 1 + A* _j_-—_x* A5 1.2.3 *3 + A4 1. 2 3-4 JC4 Sec. thus we have obtained a general formula expreffing a number in terms of its logarithm and the bafe of the fyftem, for we muft recolledt that the quantity A which is equal to a ^ fli &c a 2+ 3 4*5 C‘ is otherwife expreffed by (r-iy , (r—l)5 r—1- (r—i)4 (r-i)J 2 3 4 5 where r denotes the bafe of the fyftem (a). - &c. If in the formula A r*=i + A;v- *»+ A3 1.2 1.2.3 we fuppofe Ar=i, it becomes -x1 A4 x.2.3.4 A4-f- Sec. r=l+A+A-+ A3 A4 + &c. 1.2’ 1.2.3' 1.2.3.4 an equation which contains r only ; but as r has been all along fuppofed an indeterminate quantity, this equa¬ tion muft be identical, that is, if inftead of A, its va¬ lue, as exprefled above in terms of r, were fubftituted, the whole would vanilh. Again, let us fuppofe that is fubftituted inftead of .A. x in the general formula, thus it becomes :i + i I . 2 1.2.3 K 1.2.3.4 + &c. Thus (a) For other analytic methods of inveftigating the fame formula, fee Algebra, § 293, and Fluxions, § 54. and J 70. Ex. 1. alfo § 200. Prob. 1. logarithms. 7+ Nature of X logarithms,Thus ^ quantity, r\^ whatever be the value of r, is >««..»v»i.. evidently equal to a conftant number, which, as appears from the lalt equation, is equal to the value of r when A= i. By adding together a fuffigient number of the terms of the feries exprefling the value of r A, we find that quantity equal to 2.718281828459045 . .. I Let this number be denoted by e, and we haverA = e, and r—e^ j hence it appears, that if the number e be confidered as the bafe of a logarithmic fyftem, the quan¬ tity A, that is 2 3 4 5 is the logarithm of r to the bafe e. But as r is not re- itri&ed here to any particular value, we may fubftitute y inftead of it, keeping in mind that y denotes any number whatever, and x its logarithm •, thus we have x the logarithm of y, exprefled by the feries 0* 1 (y—O3 O'-1)4 •?/ 2 ■*" 3 4 5 fuppofing that the bafe of the fyftem is the number we have exprefled above by e. We have now found a general formula for the lo¬ garithm of any number, y, taken according to a parti¬ cular fyftem, namely, that which has the number e for its bafe. But it is eafy from hence to find a formula, which flrall apply to any fyftem whatever. For it has been {hewn that the logarithms of the fame number, taken according to two different fyftems, are to each other as the reciprocals of the logarithms of the bafes of the fyftems, thefe laft logarithms being taken ac¬ cording to any fyftem whatever, that is, log. y to bafe e : log. y to bafe r :: hence we find log. y \o bafe r= V to e' Let the value we have already found for the logarithm of y to bafe e be fubftituted in this equation, and it be¬ comes which is a general formula for the logarithm of any number whateverto the bafe r. And it is to be re¬ collected that in the fraction which is a common log. r multiplier to the feries, the logarithms are to be taken according to the fame bafe, which however may be any number whatever (b). If in the above for mula we fuppofe r=e, the multiplier log. e ' log. r log. e . . , - , Nature of -will be unity, and the formula will become {imply Logarithms, See. (y—0* (y—O* (y—O4 + &c.'—v—1 log. r log-y=y—1 2*3 4 as we have already remarked. Now this is the fyftem w hich was adopted by Lord Napier ; and although the logarithms which were computed according to this fyf¬ tem, or upon the fuppofition that the radical number is 2.7182818, &c. have been called hyperbolic logarithms, becaufe they happen to be proportional to certain hy¬ perbolic fpaces, yet, as the logarithms of every fyftem have the fame property, it is more proper to call them Napierean logarithms. As the conftant multiplier which occurs in the general formula for the logarithm of any number, is the only part of the formula which depends for its value upon the bafe of the fyftem, it has been called by writers on logarithms, the modulus of the fyftem* If we fuppofe the logarithms taken to the bafe e, then the numerator, viz. log. e, will be unity, and the de¬ nominator will be the Napierean logarithm of r. If however w'e fuppofe the logarithms taken to the bafe r, then the numerator will be log. e to bafe r; and the denominator will be unity, fo that the modulus of any fyftem whofe bafe is r, is the reciprocal of the Napierean logarithm of that bafe ; or it is the logarithm of the number e (the bafe of the Napierean fyftem) to the bafe r. In the Napierean fyftem the modulus is unity, and hence the logarithms of this fyftem, as far as depends upon facility of computation, are the moft fimple of any. It was, however, foon found that a fyftem whofe bafe ftiould be the fame as the root of the fcale of the arithmetical notation, viz. the number 10, would be the moft convenient of any in praftice •, and according¬ ly fuch a fyftem was adually conftruaed by Mr Briggs. This is the only one now in common ufe, and is called Brigg's fystem, alfo the common fystem of logarithms. The modulus of this fyftem therefore is the reciprocal of the Napierean logarithm of 10 j or it is the common logarithm of ^“2.7182818 &c. the bafe or the Na¬ pierean fyftem. We {hall in future denote this modulus by M •, fo that the formula expreffing the common lo¬ garithm of any number y will be log. y—M \ 1 y — + O—->01 1 O—.y)3 O—>0‘ ■+ &c \ 3 4 If the number y, whofe logarithm is required be very near to unity, fo that t—y is a fmall quantity, then the logarithm may be found from this formula with great eafe, becaufe the feries will converge very rapid¬ ly. If, however, I—y be greater than unity, the fe¬ ries, inftead of converging, will diverge, fo as to be in its prefent form of no ufe. _ It may however be transformed into another, which {hall converge in every cafe, by fubftituting in it nsJ y /— log.y inftead of y, and obferving that log. {psJy)——^-y it (b) For ether methods of inveftigating the fame formula fee Algebra, 284, and Fluxions, { #o. F.x, alfo § 136. 1 Natuw of it thus becomes ko^itntiwns, See. log.y—nM ^ «^/y—r—§(w V/y/iO as found in laft example, we have 1 „ V3—1 l°g- 3 = — 95289426407458932 Vio—1 199717420812550527 =.47712 11547 19662. '•-=-ts+i(s)+KS)'+i:-}‘ and this formula for the logarithm of a number is not only fimple, but has alfo the property of converging in every poffible cafe. That we may give an example of the utility of this formula, we {hall employ it in the calculation of the Napierean logarithm of 2, which by the above formula will be sf— -|—— '3 3-3 5-3s 7-37 9-39 &c •) where A is put for B for —r = —, C for — = —-1 Y 3 ' 33 9 3s 9 2 C D for — = —, &c. The calculation will be as fot- 37 9 lows. This method of computing logarithms is evidently attended with great labour, on account of the number of extractions of roots which it requires, to obtain a re- fult true to a moderate number of places of figures. But the two fcries, which we have given, ferve to fimpliiy and complete it. For whatever be the number y, it is only neceffary to proceed with the extractions of the fquare root, till we have obtained for nVy a value which is unity followed by a decimal fraction j and then n^y—i, being a fraCtion, its powers will alfo be fractions, which will be fo much the fmaller as their exponents are greater *, thus a certain number of terms of the feries will ferve to exprefs the logarithm to as many decimal places as may be required. There are yet other analytical artifices by which the feries log.y=M l(y-i)*+T(y~I)3"i(y“I^4+^cc- ^ may be transformed into others which fhall always converge, and in particular the following. Let l+« be fubftituted in the feries for y ; then it becomes log, (1 -}-«) = M — A= .66(5666666666 B= ^=.074074074074 C= ^=.008230452674 D= f €=.000914494742 E= £ D=.oooioi6io527 F= f E=.oooon 290059 G= f F=.oooooi25445i H=f €=.000000139383 I=f H=.ocoooooi5487 K=f- I = .OOOOOOOOI72I L= f £=.000000000191 M=fL=.00000000002I A=.666666666666 f B=.o2469i358o25 €=.001646090535 •f £=.000130642106 f £=.000011290059 T*T £=.000901026369 ^€=.000000096496 ^£[=.000000009292 TITK=.000000000911 ■Jg £=.00000000009 I ^TM=.00000000000 r In like manner let 1—u have leg. (1—a) = M a* 2 be fubftituted for y, and we Let each fide of the latter equation be fubtra&ed from the correfponding fide of the former ; the refult on the left-hand fide will be log. (i-fa)—log. (1—a), which, by the nature of logarithms, is equal to log. • and on the right-hand fide the alternate terms 1—a ' - of the two feries, having the fame fign, thefe will by fubtraCtion deftroy each other, fo that we {hall have los* 73^=2M + Y+y+y&c* } I -f" ^ 1 r which feries, by fubftituting % for y-—and confe- 1 Nap. log. 2 =.693x47180551 Thus, by a very eafy calculation, we have obtained the Napierean logarithm of 2 true to the firft ten places of figures -, the accurate value, as far as the 12th place, being 0.693147180550. If this very fimple procefs by which we have found the logarithm of 2 (the whole of which is here aClually put down), be compared with the laborious calcula¬ tions which muft have been performed to have found the fame logarithm by the method explained in the be¬ ginning of this fe&ion, the great fuperiority of this me¬ thod to the other, and even to the fecond method, by which we have found the numerical value of M, and the common logarithm of 3, muft be very apparent. In the fame manner as we have found the logarithm of 2 we may find thofe of 3, 5, Sec. In computing the logarithm Natnre of logarithm of 3 the feries would converge by the pov'ers Logantxm?, 2 j of the frafHon =:-§•» a^d in computing the loga- Scc. ■T 1 rithm of 5 it would converge by the powers of but in each of thefe cafes the feries would converge flower, and of ceurfe the labour would be greater than in computing the logarithm of 2. And if the number whofe logarithm was required was ftill more confider- able $ as for example 199, the feries would converge fo flow as to be ufelefs. We may however avoid this inconvenience by again transforming this laft formula into another which fliall exprefs the logarithm of any number by means of a feries, and a logarithm fuppofed to be previoufly known. To effedl: this new transformation, let ——- — 14- —. 1—u ‘ nr then, by refolving this equation in refpeft of we have LOGARITHMS. Es/yDrr.ooooo 1024000 .0000000^0960 G—2V F=-oooooooo 163 8 H=:-2ITG=.000000000066 77 Nature of Logarithms, &c. 5—1 5 + i Let thefe values of 1 +« and a be fub- 2n-\-x ftituted in the formula, 1-I-a us u* ~ V IoS-H^ = 2M(“+ 3+7 + 7+&c*) and w'e have log. ^1 -j~-^ equal to 2m|—+\(—Y++(—)5+&c.l L 2n-t-z' 7\2n-^-zJ 'T\2n-{-z/ ' j but log. ^ 1 -j- ^ = log.^—^ = log. («+«) —log. a, therefore, by fubftituting this value of log. and n tranfpofing log. n to the other fide of the equation, we have log- (n+x) = log. a-f- By the afliftance of this formula, and the known pro¬ perties of logarithms, we may proceed calculating the logarithm of one number from that of another as fol¬ lows. To find the Napierean logarithm of 3 from that of 2, which has been already found. We have here n=2, 1, andTherefore the logarithm re¬ quired is equal to log.j+2(i+_LT+_L + -£_ + &c.) ^log. 2+A + &c* A B where A is put for f, B for —, C for —, and fo on. 25 25 The calculation may Hand thus : A =.400000000000 Brr /y-A—.O I 6000000000 C=-2~-B =.000640000000 D=:VC =.000025600000 A=.400000000000 t •005333333333 f C =.000128000000 4 D=.000003657143 -g- E=.OOOOOOII3778 XT £=.000000003724 Xy G=.OOOOOOOOO 125 xVH=.000000000004 .4O5465IO8IC8 Nap. log. 2. =.693147x80551 Nap. log. 3. = 1.098612288659 This logarithm is true to id decimal places, the accu¬ rate value to 12 figures being 1.098612288668. To find-the Napierean logarithm of 4. This is im¬ mediately had from that of 2 by confidering that as 4=2*, therefore log. 4 = log. 2-j- log. 2. Nap. log. 2: :-693i47i8o55i 2 Nap. log. 4=1.386294361102 This logarithm is alfo true to 10 places befides the integer. To find the Napierean logarithm of 5, from that of 4; we have «=4, 2=1, and = -&» therefore the 2«-f-x * logarithm of 5 is expreffed by l,,E'4+2G + ^ + 5-9!+7^+&C-) log. 4+A+f B C -f f D + &c. where A=J, B=/T A, C—-gVB, &c. The calculation. A=.222222222222 B=/TA=.oo 2743484225 C=yTB=.oooo3387oi76 D=yx-C=.oooooo4i8i5o E=-gITP:::::.0ooooooo5162 F =/TE=.oooooooooo64 A=.222222222222 B = .c B = .ooo9i449474-2 f €=.000006774035 ^ ^=.000000059736 £=.000000000574 xTF=.ooooooooooo6 .223x43551315 Nap. log. 4 = 1.386294361102 Nap. log. 5=1.609437912417 This refult is alfo correft to the firft ten places of deci¬ mals. The 7$ Nature of The logarithm of 6 is found from thofe of 2 and 3 Xogarithms, confidering. that becaufe 2 X 3> therefore log. 6 = log. 2 + log. 3. Nap. log. 2=0.693147180551 Nap. log. 3=1.098612288659 Nap. log. 6=1.79175946921° This refult is correft as far as the tenth decimal place. We might find the logarithm of 7 from the loga¬ rithm of 6, that is, from the logarithms of 3 and 2, in the fame manner as we have found the logarithms of 5 and 3 } but it may be more readily found from the logarithms of 2 and 5 by reafoning thus. Becaufe 3. ^ ■5-— —, therefore log. 2 -j- 2 log. 5 — 2 log. 7 7* 49 = log.—, and confequently *49 logarithms. log. 7=4- log* 2-}- log. 5—4 log- 5£ 49 Now the logarithm of £3 may be readily obtained from 4-9 the formula log.3=2M£2=I+4(:=!) +j(^) +&c-} For fubftituting — for a, the formula gives 49 Nap. log.|=»(i + ^ +J^+ &■=•) = A-j-rB-^J-CHh &c. 2 A. B ''here A=^xr’B=5MT.’c=53T?’ &c. This B =- A=.020202020202 rA=.O0000206l 220 C =—-—-B=.ooooocooo2io 9*. 1 i2 A=.020 2020 20 20 2 4-B=.000000687073 fC=.000000000042 Nap. log. ^=.020202707317 t log* 2 = 0.346573590275 log. 5= 1.609437912417 1.956011502692 * log.33 = 0.010101353658 49 Nap.log.7 = i.9459ioi49°34 This logarithm, like thofe we found before, is correft in the firft ten decimal places. “ate. The logarithms of 8, 9, and 10 are immediately ob- tained from thofe of 2, 3, and 5, as follows; Nap. log. 2 = 0.693147180551 3 Nap. log. 8 = 2.07944154^653 Nap. log. 3 = 1.098612288659 2 Nap. log. 9 = 2.197224577318 Nap. log. 2 = 0.693147180551 Nap. log. 5 = 1.609437912417 Nap. log. 10 = 2.302585092968 Thus by a few calculations we have found the Na- pierean logarithms of the firft ten numbers, each true, to ten decimal places j and fince the Napierean loga¬ rithm of 10 is now known, the modulus of the common fyftem, which is the reciprocal of that logarithm will alfo be known, and will be ,30258k568 = '434*944819 feries converges with great rapidity, and a few of its terms will be fufficient to give the logarithm of 7, as appears from the following operation. The common logarithms of the firft ten numbers may now be found from the Napierean logarithms by multi¬ plying each of the latter by the modulus, or dividing by its reciprocal, that is, by the Napierean logarithm of 10. And as the modulus of the common lyftem is fo important an element in the theory of logarithms, we fhall give its value, together with that of its reciprocal, as far as the 30th decimal place. M=-434294481903251827651128918917 2.30258 509 2994045^^4°17991454^^4 The formulus we have already given are fufficient for finding the logarithms of all numbers whatever throughout the table, but there are yet others which may often be applied with great advantage, and we fhall now inveftigate feme of thefe. Becaufe log.Z=2M||:p+f(^) +*(!Z + i) &c*} If we now fuppofe 25=- fo that 25 1 25 + 1 2«‘—I log * 1 (« X I ) ^ . then the formula becomes 2 »* ni———= 2M y -—j- r ~f~ But LOGAR Loganthms, But log. log.. * log. (»■ l) ■ , log. (« + x), therefore, putting N for the feries 2M{^ZI+t(^tz7) +&c-} we have this formula, 2 log. n—log. (n—i)—log. (n-f-i)=N and hence, as often as we have the logarithms of any two of three numbers whofe common difference is uni¬ ty, the logarithm of the remaining number may be found. Example. Having given the common log. of 9=0.95424250943 the common log. of 10=1 j it is required to find the common logarithm of I I. Here we have «mo, fo that the formula gives in this cafe 2 log. 10—log. 9—log. n=N, and hence we have log. 11 = 2 log. 10—log. 9—N, , 2M 2M , p where N= 1- ;4-8tc. 199 3.1993 M being .43429448190. Calculation of N. A=^^=.oo436476866 B=—=.00000003674 3-399* ^ .00436480540 2 log. 10=2.00000000000 log. 9=0.95424250943 1^=0.00436480 540 log. 9-^=0.95860731483 log. 11 = 1.04139268517 Here the feries expreffed by N converges very faft, fo that two of its terms are fufficient to give the loga¬ rithm true to 10 places of decimals. But the loga¬ rithm of 11 may be expreffed by the logarithms of fmaller numbers, and a feries which converges ftill more rapidly, by the following artifice, which will apply alfo to fome other numbers. Becaufe the numbers 98, 99, and 100 are the products of numbers, the greateft of which is 11, for 98=2x7% 99=:9XII» and 100=10 XtOj it follows that if we have an equation compofed of terms which are the logarithms of thefe three numbers, it may be refolved into another, the terms of which (hall be the logarithms of the number 11 and other fmaller numbers. Now by the preceding formula, if we put 99 for «, we have 2 log. 99—log. 98—log. ioo=N, that is, fubftituting log. 9 + log. 11 for log. 99, log. 2-f- 2 log. 7 for log. 98, and 2 log. 10 for log. 100, 2'log. 9-4-2 log. 11—log. 2—2 log. 7—2 log. I0=N, ITHMS. 79 and hence by tranfpofition, &c. Nature of Logarithms, log. II=iN-}-llog* 2 + log. 7—log. 9-f-log. 10) &c. and in this equation. XT 2M , , 2M , N— ■ TT ' 2 i 0£0. 19601 3i96oj3 The firft term alone of this feries is fufficient to give the logarithm of 11 true to 14 places. Another formula, by which the logarithm of a num¬ ber is expreffed by the logarithms of other numbers and a feries, may be found as follows. Refuming the formula log. ,=2M{5=+7(|=i)3+fg=l)'+&c.} Let us affume i)*(”4-2)_r”3—3 ”+2 («—2)(«-j-lji «3—3 n—2 then z—1 3 n 1 2 M Let thefe values of z, and ,be fubilitutedin the formula, and it becomes But the quantity on the left-hand fide of this equation is manifeftly equal to 2 log, («—Cw + 2)—log. («—2)—2 log. («+i), therefore, putting P for the feries, {=p+t(,=p) +K;^r») +&c'l we have this formula, log. (« -f- 2) 2log. («-i )-log. (»-2)-2log. (« -j-1 )= P. By this formula we may find, with great facility, the logarithm of any one of the four numbers n—2, «—I, w-j-ij w-f-2, having the logarithms of the other three. We may alfo employ it in the calculation of logarithms, as in the following example. Let the numbers 5, 6, 7, 8, be fubftituted fucceffively in the formula ) then, ob- ferving that log. 6=log. 2-j-log. 3, and log. 8=3 log. 2, we have thefe four equations, ... , 2M 2M log. 7 + 2 log. 2—3 log. 3=— H * + &c. —2 log. 7 +log. 2+2 log. 5= 55 2 M 3-55 2 M &c. + &c. + Sec 1 99 3-99J 2 M 2 M 4 log. i-4 log. 2-log. S=TZT +JJ6Z, 2 M 2 M log. 5 5 log. 3+2 log. 7=— + JTJT Let log. 2, log. 3, log. 5, and log. 7, be now con- fidered as four unknown quantities, and by refolving thefe equations in the ufual manner, (fee Algebra, Seft. VII.) the logarithms may be determined. Refuming once more the formula log.*=2M{2=|+|(|=i)! + &c.} 3 let of «a(«+5)C”~5) imS’ (*+3) C«—3) C»+4) («—-4) LOG AR be fubftituted in it Jnftead of z, then, by this fubftitution —-— will become —72 K4 25 «* -f* 7 2 log the formula will be transformed to **04-0 Cff—.O ‘ 0+3) («—3) C«+4) C" 4) =—2M 72 t «4-25'/*+72 ) +&c*T ^T\«4—2i;« 4-72/ J Hence, puttinp- the latter fide of this equation equal to & we have i.his formula, 2log.«4-log-(« + 5) + log- (a—5)—l°g.(«+3)l —log. («—3)—log. («-j-4)—log. («—4) + 0.J which may be applied to the calculation of logarithms in the fame manner as the former. When it is required to find the logarithm of a high number, as for example 1231, we may proceed as fol¬ lows : log. 1231 =log.( 1230 + i)=log. •[ 1230(I + } -log. i230 + log.(i + ^). Again, log. i230=log. 24-log. 5+log. 123 and log. 123 = log. {120(1+^)} —- log* 120-flog. (I log. 120”log. (23 X3X5) = 3log- 2+log-3+log- 5 Therefore log. i23l=4log. 2 +log. 34-2 log. 5+log'(I+“) +los-(I+T^) Thus the logarithm of the propofed number is expref- fed by the logarithms of 2, 3, 5, and the logarithms of t j__L i j ^— all of which may be eafily found by *40’ 1230 h formulas already delivered. Having now explained, at confiderable length, the theory of logarithms upon principles purely analytical, fuch being, as we conceive, the moft natural way of reafoning concerning the properties of number, we {hall conclude this fe&ion by {fating briefly the ground upon which it was referred to the principles of geometry by the mathematicians of the 17th century. Let C (fig. 2.) be the centre, and CH, CK the afymptotes of an hy- ’ perbola. In either of thefe let there be taken any number of continual proportionals CA, CB, CD, CE, &c. then if B D i/, E e, &c. be drawn parallel to the other ai'ymptote, meeting the curve in a, b, d, e, &c. the hyperbolic fpaces AabB, HbdD, D^/eE, &c. are equal to one another alfo if ftraight lines be drawn from C to the points a, b, d, e, &c. the hyper¬ bolic fedfors aCb, bCd, dCe, &c. {hall alfo be equal (Conic Sections, Part III. prop. 30.). Now, fince it ITEMS. appears by this propofition that the fegments CA, CB, Def' ription CD, CE, Sec. of the afymptote being taken in con- tinned geometrical progreflion, the correfponding hy- . e e’f perbolic areas Art^B, Afl parallel to CL meeting the hyperbola in f>, then it may be {hewn, by the methods ufually employed in reafoning about curvilineal areas, that the area of the rhombus A a LC is to the hyperbolic area A P as 1 to the Napierean logarithm of the number n. Therefore if the hyperbola be equilateral, fo that AaLc is a fquare, &c. confequently its area=l X l = l» the Napierean logarithm of a, and the area Aa/>P may be taken as the mutual reprefentatives of each other. It is this circumftance which induced mathematicians to call thefe logarithms hyperbolic. But with equal propriety might the logarithms of any other fyftem be called hyperbolic, as they may be equally expreffed by the area of the equilateral hyperbola, or indeed by the area of any hyperbola whatever, (fee Fluxions, § 152. Ex. 5.). SECT. II. DESCRIPTION AND USE OF THE TABLE. THE common fyftem of logarithms is fo conftrudled, that, o being the logarithm of unity, or 1, the loga¬ rithm of 10 is 1 j by which it happens that the loga¬ rithm of 100 is 2, that of 1000 is 3, and fo on. Alfo, the logarithm of or .1, is —1, that is, 1 confider- ed as fubtradlive •, or, in the language of algebra, minus one ; and the logarithm of xfo or .01, is.—2 j and the logarithm of .ooi is —3, and fo on, as in the following ftiort table. Numbers. Logarithms. .001 .00 .1 I 10 100 1000 &c. —3 —2 — 1 o 1 2 3 &c. As the terms of the geometrical progreflion I, 10, 100, &c. continued backwards as well as forward, are the only numbers whofe logarithms are integers j the logarithms of all other numbers whatever muft be either fradtions or mixt numbers. Accordingly, the loga¬ rithms of all numbers, whether integer or mixt, be¬ tween I and 10 are exprelfed by decimal fradlions lefs - - than LOGARITHM S. 8r Defoimion than unity. The logarithms of numbers between 10 TeTatK anC^ 100 are exPre^'e^ by mixt numbers compofed of , iie ta '‘ ' unity and a decimal fraftion. The logarithms of num¬ bers between xoo and 1000 are exprelfed by mixt num¬ bers compofed of the number 2 and a decimal fradtion, and fo on. On the other hand, the logarithm of any vulgar or decimal fradlion lefs than I, but greater than tTo- or .1, will be fome negative decimal fradlion between o and —I } and the logarithm of any fradtion between .1 and .01, will be a negative mixed quantity between —I and —2, and fo on. But it mull be remarked, that any fradtion, or mixt number, confidered as entirely negative, may always be transformed into another mixt number of equal va¬ lue, that (hall have its integer part negative, but its fradlional part pofitive, by diminifhing the integer by unity, and increafing the fradtional part by the fame quantity. Thus let the mixt quantity be—2T5o-, which may be alfo written thus —2—Let the integer —2 be diminifhed by I, and the refult is —2—1=—3. Alfo, let the fradtion —^ be increafed by 1, and it becomes —to- + 1 — + 7% ? therefore the fradtion —2Tg- or —2.3, when transformed, is —3+t7o, or —3-}-.7, which may be written thus, 3.7 j where the negative fign is placed over the integer to indicate that it is the only part of the expreffion that is confidered as negative, the other part, viz. .7, being reckoned pofi- tive. Since therefore any fradtional or mixt quantity, con¬ fidered as entirely negative, is equivalent to another mixt quantity, the integer part of which only is nega¬ tive, but the fradtional part pofitive, it is evident that inftead of expreffing the logarithms of fradtions by num¬ bers confidered as entirely negative, we may exprefs them by numbers having their integer parts negative, and their decimal parts pofitive j and it is ufual fo to exprefs them. Thus the logarithm of .03, inftead of being expreffedby —1.52288, that is, by —1—.52288, is ufually expreffed by 2.47712, by which is to be un- derftood —2-f-.47712. Again, the logarithm of .7, which, if confidered as entirely negative, would be —.15490, is otherwife 1.84510. As the logarithms of any feries of numbers forming a geometrical progreflion, the common ratio of which is 10, will exceed each other by the logarithm of 10, that is, by 1, it follows that the logarithms of all num¬ bers denoted by the fame figures, and differing only in the pofition of the decimal point, will have the decimal part of their logarithms the fame ■, but the integers ftanding before the decimals will be different, and will be pofitive or negative, according as the numbers are whole or fradtional, as in thefe examples. Numbers. 69150 6915 691.s 69.i5 6.91s .6915 .06915 Logarithms. 4.83980 3.83980 2.83980 1.83980 O.83980 1.83980 2.83980 The integer figure of a logarithm, is called its index or charaBeriftic ; and it is always lefs by one than the Vol, XIL Part I. number of integer figures which the natural number con~ Defcription fi/ls of; or it is equal to the difiance of the firfi figure and from the place of units or firfi place of integers, whether the Table\ on the left or on the right of it. ¥ The table of logarithms given at the end of this ar¬ ticle, contains the decimal parts of the logarithms of all numbers from 1 to 10,000 ; and indeed of all num¬ bers which can be expreffed by four figures, preceded or followed by any numbers of cyphers, fuch as the numbers 367500, .002795, &c. The index, however, is not put down j but it is eafily fupplied by the rule which has juft now been given. The table alfo con¬ tains the differences of the logarithms of all numbers from 1000 to 10,000, by means of which the loga¬ rithm of any number confifting of five figures may be eafily obtained. 1. To find the logarithm of any number confifiing of four or any fmaller number of figures. Look for the number in the columns titled at the top Numbers ; and in the fame line with it, on the right, in the column of logarithms, will be found the decimal part of its loga¬ rithm, to which fupply the decimal point, and its index, according to rule delivered above. Thus, The log. of 9 is found to be 0.95424 of 17 of 2.63 of 13.42 of 6280 of 3749 of .6027 of .00234 of 8 52600 1.23045 0.41996 2.12775 3.79796 _3*57392 1.78010 3.36922 5-93075 2. To find the logarithm of a number confifiing offive figures. Find the decimal part of the logarithm of the firft four figures of the number, (that is, find the logarithm of the propofed number as if the laft figure were a cy¬ pher), by the preceding rule, and find the difference between that logarithm and the next greater, as given in the column of differences (to the right of the column of logarithms). Then ftate this proportion : As 10, To the tabular difference, So is the laft, or fifth figure of the number, To a fourth proportional j which being added to the former logarithm, and the decimal point and index fupplied, will be the logarithm fought. Example. Required the logarithm of 186.47. The decimal part of the logarithm of the firft four figures, viz. 1864, *27045» and th6 difference oppofite to it in the column marked D on the top is 23. Therefore we have this proportion ; 10 : 23 :: 7 : 7 X-2-3—i6.x 10 The fourth proportional is 16.1, or, reje&ing the deci¬ mal part, .16 nearly ; therefore, to log. of 1684 •27°45 add 16 the log. of 168.47 is L ^2.27061 3 . To 82 Defer! ption and Ute of the Table 3. To fin tthe logarithm of a vulgar fraBion or mixt number. _ . Either reduce the vulgar fraftion to a decimal, and fmd its logarithm as above, or elfe (having reduced the mixt number to an improper fraction) fubtraft the lo¬ garithm of the denominator from the logarithm of the numerator, and the remainder will be the logarithm of the frachon fought. Ex. I. To find the logarithm of From the log. of 3 Subtract the log. of 16 Rem. log. of or of .1875 Here, as the lower number is greater than the upper, the remainder muft be negative *, the fubtraflion, how¬ ever, is fo performed, that the decimal part of the re¬ mainder is pofitive, and the integer negative. LOGARITHMS. The dec. part of given log. is That of next lefs, viz. log. of 1357, is .13278 •13258 Defc; 'pti'on and Life of the Table. Difference 20 The tabular difference is 32, therefore we have this proportion, 20 y. 10 32 : 10 :: 20 : 3 2 6 nearly. 0.47712 1.20412 "i.27300 Ex. 2. To find the logarithm of 13^ or f From log. of 55 Subtradl log. of 4 1.74036 0.60206 Rem. log. of 13^ or of 13.75 I-I383° 4. To find the number correfponding to any given lo¬ garithm. Seek the decimal part of the propofed logarithm in the column of logarithms, and if it be found exaftly, the figures of the number correfponding to it will be found1 in the fame line with it in the column of num¬ bers. If the index of the given logarithm is 3, the four figures of the numbers thus found are integers 5 but if it be 2, the three firft figures are integers, and the fourth is a decimal, and fo on ; the number of integer figures before the decimal point being always one great¬ er than the index, if it be pofitive ; but if it be nega¬ tive, the number fought will be a decimal, and the number of cyphers between the decimal point and firft fignificant figure will be one lefs than the index—F^- amples. The number correfponding to the logarithm 8-57392 3749" number correfponding to 3/12775 is 13.42. The number correfponding to 3.36922 is .00234, and fo on. "But if the given logarithm is not exactly found in the table, fubtraft the next lefs tabular logarithrn from it, and take the difference between that logarithm, and the next greater (as given in the column of differ¬ ences). Then flate this proportion : As the difference, taken from the table, Is to TO, So is the difference between the given logarithm and the next lefs, ; To a fourth proportional, which being annexed to the four figures correfponding to the logarithm next lefs than the given one, will be the logarithm required. Example. Find the number anfwering to the loga¬ rithm 4.13278. Therefore the number correfponding to the propofed logarithm is .13576. in like manner may the numbers to the following lo¬ garithms be found. Logarithms. Numbers. 1-23457 I7-162 3-7343° 5423-8 1.09214 .12363 4.61230 40954 The table of logarithms of numbers is followed by a Table of logarithmic Sines and Tangents, for every mi¬ nute of the quadrant, with their differences. For the explanation of this table we refer to Trigonometry, to which branch of mathematics it is intended to be applied. We fliall now give practical rules, illuftrated by ex¬ amples, for performing the different operations of arith¬ metic by logarithms. MULTIPLICATION by Logarithms. Rule. Take out the logarithms of the faftors from the table; then add them together, and their fum will be the logarithm of the produdi required. Then find, by infpecHon of the table, the natural number anfwering to their fum, and it will be the prcdmft required. Obferving to add what is to be carried from the de¬ cimal part of the logarithm to the pofitive index or in¬ dices, or elfe fubtraft it from the negative. Alfo adding the indices together when they are of the fame kind, that is, both pofitive or both negative j but fubtra&ing the lefs from the greater when the one is pofitive and the other negative, and prefixing the fign of the greater to the remainder. Examples. Ex. 1. To multiply 2.314 by 50.62. Numbers. Logarithms. 2.3x4 0.36436 50.62 I.70432 Product 117.13 2.06868 Ex. 2. To multiply 2.5819 by 3.4573. Numbers. Logarithms. 2.5819 3-4573 0.41194 o-53874 Prod. 8.9265 0.95068 Ex. 3. .Numbers. qo.02 S91-x6 ‘O3147 LOGARITHMS. 83 ftefcnphon Ex. 3. To multiply 39.0: »nd tife of together. .the Foible. “ , and 597.16, and .03147 Logarithms. 1.591 29 2.77609 2.4979O 3. Divide .06314 by .007241. Numbers Logarithms. Divid. .06314 2.80030 Divif. .007241 3.85980 Quot. 8.720 0.94050 Defciiption and Ule of the Fable. V 1.'.in J Prod. 753.3 2.86528 Here the fum of the pofitlve indices, together with 1 ■which we carry, is 4, and from this we fubtradl 2, be- cauie of the negative index —2. Ex. 4. To multiply 3.586 and 2.1046, and 0.8372 and 0.0294 all together. Here 1 carried frcm the decimals to the —3 makes ic — 2, which taken from the other —2, leaves o re¬ maining. Ex. 4. Divide .7438 by 12.947. Numbers, Logarithms. Divid. .7438 1.87146 Divif. 12.947 i.i 1 218 Numbers. 3v>86 2.1046 0.8372 0.0294 Logarithms. O.55461 0.3 23 ! 7 I.92283 2.46835 £uot. .057449 2.75928 Here the 1 taken from the —1 makes it become —>2 to fet down. PROPORTION by Logarithms. 1.26896 Here the 2 to carry cancels the—2, and there remains the—x to fet down. DIVISION by Logarithms. Rule. Subtract the logarithm of the divifor from the lo¬ garithm of the dividend, and the number anfwering to the remainder will be the logarithm of the quotient re¬ quired. Obferving to change the fign of the index of the di¬ vifor from poll live to negative, or from negative to pofitive $ then take the fum of the indices if they be of the fame name, or their difference when they have dif¬ ferent ftgns, with the fign of the greater for the index to the logarithm of the quotient. Alfo, when 1 is borrowed in the left-hand place of the decimal part of the logarithm, add it to the index of the divifor when that index is pofitive, but fubtraft it when negative •, then let the index arifing from thence be changed, and work with it as before. Examples. Ex. To divide 24163 by 4567. Numbers. Divid. 24163 Divif. 4567 Logarithms. 4-383I5 3-65963 Quot. 5.2908 0.72352 Ex. To divide 37.15 by 523.76. Numbers. Divid. 37.15 Divif. 523.76 Logarithms. I.56996 2.71913 Quot. .07093 2.85083 Rule. Add the logarithms of the fecond and third terms, and from the fum fubtraft the logarithm of the firft term by the foregoing rules, the remainder will be the logarithm of the fourth term required. Or in any compound proportion whatever, add toge ther the logarithms of all the terms that are to be mul¬ tiplied y and from that fum take the finn of the others, the remainder will be the logarithm of the anfwer. But, inftead of fubtracUng any logarithm, we may add its arithmetical complement, and the refult will be the fame. By the arithmetical complement is meant the logarithm of the reciprocal of the given number, or the remainder by taking the given logarithm from o, or from 10, changing the beginning of the fcale from o to 10 ; the eafieft way of doing which is to be¬ gin at the left hand, and fubtradl each figure from 9, except at the laft fignificant figure on the right hand, which muff be fubtra&ed from 10. But when the in¬ dex is negative, it muff be added to 9, and the reft fubtra&ed as before j and for every complement that is added, fubtraft 10 from the laft fum of the indices. Examples. Ex. 1. Find a fourth proportional to 72.34, 2.519, and 357.48'. Numbers. As 72.34 To 2.519 So is 357.48 To 12.448 Logarithms. I.85938 O.4OI23 2-.55325 2.95448 I.O95IO Here the logarithms of the fecond and third terms are added together, and the logarithm of the firft term is fubtrafted from the fum5 but by taking the arithmeti- L 2 cal « \ 84 LOGARITHMS. Defcription Cal complement of the firft term, the work might ftand and Ufe of . the Table. As 72.34 To 2.519 So is 357.48 To 12.448 Comp. log. 8.14062 0.40123 2*55325 1.09510 Ex. 2. If the intereft of 100I. for a year, or 365 days, be 4.5, What will be the intereft of 279.25I. for 274 days ? . C 8.00000 Comp. long. (7.4377, 2.44599 M3775 0.65321 As^ To 100 _ 365 1279.25 .l274 So is 4.5 To 9.4333 0.97466 Here, inftead of fubtra&ing the fum of the logarithms of 100 and 365, we add the arithmetical complement of the logarithms of thefe numbers, and fubtraft 20 from the fum of the indices. INVOLUTION by Logarithms. Rule. Multiply the logarithm of the given number by the index of the power, and the number anfwering to the product will be the power required. Note.—In multiplying a logarithm with a negative index by a pofitive number, the produft will be nega¬ tive. But what is to be carried from the decimal part of the logarithm will always be politive. And there¬ fore the difference will be the index of the produdt, and is always to be made of the fame kind with the greater. Examples. Ex. 1. To fquare the number 2.579. Number. Logarithm. Root 2.569 0.41145 The index 2 Power 6.6513 0.82290 Ex. 2. To find the cube of 3.0715. Logarithm. 5424 95472 95521 90395569 90495617 90 (9566 s 9o6|957i3 907195761 908195809 909,95856 91005904 9x1 912 91 9l 9I5 916 95952 95999 ,n47 496095 96142 96190 91796237 91896284 91996332 92096379 921 922 92 924 92 96426 96473 520 96567 396 5966 92 92 92 92 93° 69666 796708 896755 9968 96848 931 932 93 93‘ 93 9369 941 942 944 945 02 96895 96942 3 96988 497°35 597o8 7128 97174 _ 7220 997267 973*3 937 938972 93 940 97359 974°5 943 9745 97497 97543 94697589 94797635 94897681 949977 95097772 95* 952 953 954 97818 97864 97909 9795 95598000 95698046 98091 957 95 959 960 898 >37 9818 98227 LOGARITHMS OF NUMBERS. N. 96098227 96I98272 96298318 96398363 96498408 96598453 96698498 96798543 968 98588 96998632 97098677 97198722 97298767 97398811 97498856 975 98900 Log. D. 97698945 97798989 97899034 97999078 98099123 98199167 98299211 98399255 08499300 98599344 98699388 98799432 98899476 98999520 99099564 99199607 99299651 99399695 99499739 99599782 99699826 99799870 99899913 99999957 100000000 1001 1002 100043 00087 100300130 1004 1005 1006 1007 1008 1009 104301828^ 104401871 ^ 0173 00217 00260, 003°5 !44 -43 43 0038 101000432 101190475 1012100518 101300561. ioi4Soo6o44:i 101 ;!oo647^8 r42 43 N. 102000860 J108003342s 102100903^ 1081 03383 4 102200945] 108203423]0 1023 00988]] 108303463^ i0240i030]Ji 084 03503 ]o| 102501072] 108503543 io26|oni5r]jio86o3583 ■+ 0^523^' X02701157 1028 01199 102901242 103001284 !031013 26,4110910^^ 103201368] Si09203822“r. 1033014104 109303862^ i0340i452]2 109403902^ 1035 103601536 1037OI578^2 103801620^^ 41 oi7°342 103901662 104: 104101745 42] 104201787 ^ 2572 43 . 11061 .1106202612 106302653 106402694 10630273 Log. D.l N. 01494 OI953 oi995 1046 1047 i,L 104802036 10490207* 105002119 )2l6( io5 1052022 U05302243 1105402284] 1 105502325; ! 1087 108803663 108903703 109003743 42 1095 101 42 41 42 41 41 42 105602366 105702407 105802449 EO 59 O249C I0600253I 4Ji118 41" 106602776 106702816 112605154 j,, , J112705192 oo3464:) io68o28574t 1128 oo^Soi'': 11069I02898 1129 1070(02938 4 41 4l 4! 41 40I 41 1071 >02979 1072103019 ]]jJi073|o3o6o fi 074:03100 io75}o3i4i loi 7007 3.2 :io»8[oc77 3 6 10760318 42 ■ioio|oo8i7: I020!00860}-4 1077 1078 1070 I c 80 '3 22 03262 0330 03542 Log. D. 5782 °394I 10060398 04021 I097''t 3Q 109804060]] 109904100 40 04179 11020421 839 1103042584° 110404297 II05°4336 < 1106^4376^ 110704415]] 110804454]] I 10904493 OQ IIIOO4532';] 1II104|7I39 >46107^ 04650 It12 m3 1114 [1115 04689-39 1140 1141 1142 1145 H44 1145 N. 1146 U47 Log. D. 05690 05729 05767 05805 05843 05881 391 38 05918 05956 ii48j05994 114906032 11500607 40 40 115106108 115206145 1153 °6i8 1»5406221 115 5106258 115606296 115706333 115806371 11 £.906408 16006446]^ 1161 06483! oil 221 116206521!° |l 222 08707 3 j1 06558’^ j1223 08743 d ° 1 r 164 06595(28 122408778 1165 0663 3 ° „ 122 j 08814 jj 1171068562^ 1 ^0 ^ _ ii72o6893]]|i23209o6i ° 04727 38 111604766 04805 04844 4883 jjII20j0492 2 10 1121 1122 1x23 ! 124 O4961 O.4999 OCO38 O5077 'II 250511 5 40! 4-i ,4°- 41! 40 41 4°, 41! 40: 30! 4.0: 05231 112905269 113005308P0 39 39 39 39 39 39 38 39 39 38 39 3§ 39 38 , - - 37 ,1173 06930 ;,7 117406967 117507004 1166 116706707]^122708884]^ 06744]' 122808920^^ 1168 116906781 122908955“^ 1170 06819 ] ^ 1230 08991 IS8 113x05346; 113205385^ 1133 05423]g 113405461] 113505500]] 38 38 38 38 113605538 113705576 113805614 n3905652 114005690 N. I Log- D. N. I Log. i).j: N. Log. 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Mi1 f452 1453 1454 1455 16167 16197 16227 16236 16286 r456 T457 I458 •459 1460 16316 16346 16376 16406 16435 1461U6465 1462I16495 r463 1464 1465 1466 1467 1468 1469 r47° 16324 16554 16584 1471 1472 1473 J474 475 1476 1477 1478 1479 1480 1481 1482 r483 16613 16643 16673 16702 16732 16761 16791 16820 x68 50 16879 16909 x6938 16967 16997 17026 17056 17085 17114 1484I7I43 148517173 1486 1487 1488 1489 1490 7202 17260' ^ 17289 I73I9 1491 1492 1493 1494 T495 1496 1497 1498 1499 1500 1500 1501 Log. 17609 I7638 150217667 15°3 I5°4 1 7696 I7725 I5°5I7754 1506:17782 I5°7 1508 1509 1510 1511 1512 17811 1784c 17869 17898 i5i4i8oi3 i5i5i8°4i 151618070 8099 151818127 1520 18156 18184 152118213 152218241 I C23 *524 1525 18270 18298 i8327 1326 i527 1328 I529 i53° 1532 1533 1534 ^S6 1537 US8 1539 1540 1541 17926 I7955 17984 i8355 18384 18412 18441 18469 18498 18526 i8554 i8583 i535i86ii 18639 18667 18696 18724 i8752 18780 154218808 1543l8837 I154418865 [545i8893 D. 29 29 29 29 29 28 29 29 29 29 28 29 29 29 28 29 29 28 29 28 29 28 29 28 29 28 29 28 29 28 29 28 28 29 28 28 28 29 28 28 28 28 29 i7348 I7377 17406 .17435 17464 i7493 17522 I755I 17580 17609 *546 x547 1548 x549 I55° 18921 18949 i8977 l90°5 I9°33 155119061 155219089 r553 x554 *555 x556 r557 x558 x559 1560 Lag. 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D, 20952 20978 1622 21005 156619479 1567 t568 X9396 i942427 i?45^28 28 28 27 28 28 19507 *9535 1569119562 57°Ii9590 x ^7 1119618 15721x9645 I573jI9673|27 i574!197°0;28 375lx9728|?s ^35 21352 x576 x577 x578 x579 i58o 1581 1582 x583 x584 I585i i9756, x9783 19811 19838 19866 i9893 19921 *9948 i9976 0003 1586120030 1587 20058 1588 x589 i59° 20085- 20112 2014c 20167 20194 20222 20249 1591 1592 x593 x594 1595120276 1623 1624 1625 1626 1627 1629 ^30 1631 !632 ‘633 1634 21032 2x059 21085 21112 21139 1628 21165 21192 21 219 21245 21272 21299 21325 I9II7 I9I45 19173,28 28 19201 19229 x9257 19285 I9312 1596S20303 I597i2033° 159820358 20385 1599 1600 1601 1602 1603 1604 1605' 20439 20466 20493 20520 20548 1606 1607 1608 1609 1610 1611 1612 1613 20412 20575 20602 20629 20656 20683 20710 20737 20763 16x42079 16 x 5*20817, 1616120844 o8iJ[6i7 20871 n|l6l8 20898 1619 1620 20925 20952 1636 163 J 1638 !639 1640 2I378 2140 ? 21431 21458 21484 1641 2x511 164221537 x643 i644 x645 21564 21590 21617 1646 1647 1648 1649 21643 21669 21696 21722 1650 21748 1651 1632 x653 x654 21775 21801 21827 21854 1656 ‘657 1658 *659 1660 1661 1662 1663 1664 1665 1666 1667 1668 4669 ^1670 1671 1672 1673 1674 1680 1681 1682 '‘/|i6'83 26 27 U684 ii685 27: 26s 27 27 26 ii686 1687 N. 1688 1689 1690 1691 1692 6^93 1694 1695 1655 21880 21906 21932 21958 21985 22011 22037 22063 22089 22115 22141 22167 22194 22220 22246 22272 22298 22324 22350 22376 1675 22401 1676 1677 1678 167922505 22427 22453 22479 26 27 26 27 26 27 26 27 26 27 26 26 27 26 26 27 26 26 27 26 26 26 26 27 26 26 26 26 26 26 26 27 26 26 26 26 26 26 26 26 26 26 26 1696 1697 1698 1699 1700 1701 1702 I7°3 1704 I7°5 1706 Lag. 22531 22557 22583 22608 22634 22660 22686 22712 22737 22763 22789 22814 22840 22866 22891 22917 22943 22968 2 2994 23019 23045 23070 23096 23x21 23r47 23172 23198 170723223 1708 1709 1710 23249 23274 23300 1711 1712 23325 2335c 17^3 23376 I714 23401 171523426 171623452 1717 23477 171823502 I7I9 23528 1720 1721 1722 1723 1724 x725 168022531 26 1726 172.7 1728 x729 1730 1735 1736 x737 x738 x739 I74° 23553 23578 23603 23629 23654 23679 D, N. 174c 1741 1742 x743 Log. 24°55 24080 24105 24I3° 174424155 174524180 1746 1747 1748 1749: 175° 25!t 26 26 1751 1752 x753 x754 24204 24229 24254 24279 24304 24329 24353 24378 24403 175524428 I756J24452 Jjx757 24477 01758 24502 25 26! 25 26 25 26 25 26 25 26 25 26 25 25 26 25 25 26 25 25 26 25 25 x759 1760 24527 24551 D. N. x763 i764 x765 24625 24650 24674 23704 23729 23754 23779 23805 173123830 173223855 x733 x734239°5 23880 23930 23955 23980 24005 24030 24055 25 26 25 25 25 25 25 25 26 25 25 25 25 25 251 25 25 25 25 1766 x767 1768 x769 1770 24699 24724 24748 24773 24797 x77x 1772 x773 i774 x775 1776 1777 x778 1779 1780 1781 1782 25P 25 25 25 25 24 25 25 25 25 25 24 25 25 25 24 25 25 25 24 25 25 24 25 24 25 25 24 25 24 25 24 25 24 25 24 24944 24969 2o 24993 25018 25042 x76xj24576 I762'246oi 24822 24846 24871 24895 2492 25066 25091 1800 1801 1802 1804 x8o5 ! 806 1807 1808 1809 1810 Log. DJ: 25527 2555x 25575 1803 25600 25624 25648 24 25 24 24 178325115 178425139 x785 1786 25164 25188 178725212 1788 1789 1790 25237 25261 25285 1791 1792 x793 1794 x795 x796 1797 1798 x799 180c 25310 25334 25358 25382 25406 25431 25455 25479 25503 25527 25672 25696 5720 25744 25768 1811 1812 2579 25816 181325840 1814 1815 25864 25888 1816 1817 1818 1819 1820 25912 25935 25959 25983 26007 1821 1822 1823 1824 1825 26031 26055 26079 26102 26126 1826 1827 1828 1829 x83o 26150 26174 26198 26221 26245 1831 26269 1832 26293 x833 i834 x835 i836 x837 1840 25 24 24 25 241 24 25 24 24 25 24 24 24 24 25 '24 24 24 24 1841 1842 x843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856 x857 1858 1859 1860 _N. 1860 1861 186 *1863 1864 1865 26316 28 26340 26364 26387 26411 826435 183926458 26482 26505 26 c 29 26553 26576 26600 266 26647 26670 26694 26717 26741 26764 26788 26811 26834 26858 26881 26905 26928 26951 1866 1867 1868 1869 187c 1871 1872 j873 1874 11875 22 j18^6 23|Ii877 0^1i878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888 1889 1890 189727807 1896 1891 1892 1893 24Ii894 24 x895 23 24 24; 23, 241 23 24 24 23 24 23 24 23 24 23 1898 1899 1900 1901 Log. D.! 269^1 26975 26998 27021 27045 2CJ 27068 8 / .23 2^°9I 23 27114 o 27138 27161 27i84!23 27207|24 2722: H 27254^ 27277|2 ^ 273oo!24 27323, 27346 27370 27393 27416 27439 27462 2748523 27508 J 2753x^ 23 23 23 23 23 27554 27577 27600 27623 27646 27669! 276921 8 27715| 23 27738j J 2776xy 27784 27830 278 52 27875 7898 I902j2792I I9°3 27944 2 2 190427967 0 1905127989 22 23 23 22 23 23 23 23 I9o6j28oi2 1907,28035 i9o8'28o58 1909 1910 28081 28103 1911 1912 X9X3 1917 192c 28126 28149 28171 1914 28194 1915 28217 191628240 28262 191828285 i9i928307 28330 > 1936 *937 T938 1939 1940 28691 28713 28 73 5 287 ;8 28780 194128803 ‘1942128825 1943128847 194428870 1945 28892 "N. 19 201 *921 1922 r923 1924 192 1929 x927 1928 192 1930 1931 1932 1933 *93 193 5 L°g- 28330 28353 28375 28398 28421; 52844.3 28466 28488 28511 928533 285 96 28 378 28601 28623! 4 286461 28668! O. 23 22 23 I 23 i98i,:29688: 1204130984 r'98 2;2971 o 2„|2042|3 I ojo6 21 1983 29732^,1204331027 ll ^Hyou.zv^/yo 22S 4 ;JI987i2982o22 2047|3 988:29842 12048:3 22iTo8n2o862 I2.O/103 1946 28914 1947128937 1948,28959 1949 28981 1950 29003 N. | Log. ;D.j| N. 980296671 204030963 LOGARITHMS OF NUMBERS. Log. D.;j N. Log. D.J N. Log. D. N. ) Lag. I), 30984 ;i2ioi32243:;0- 2253l2,|2l62334»620 1986,29798 1204613iQ9i 2I ” n 2!2047i3III22I ,.2I 2o483xx332I 1989 29863 2J204q!3ii542i. ---i-00- 205013 11 75 22i 19973003822 20573132322 199830060 M 2058313452! 199930081 2J20593136621 2060 3x387 2i 200030103 22 ■ i. ■ - ** ■ 11 ' “ 2001 301252I;2o6j 31408 2002 2004 30146 3or9°2j KJ I 22'’ ^ ' JLJM , 200330168 -2063314502, 2123^ ^ ;20643 147I 2J 2x24327152, 21843392520 12005 302II 1951129026 1952129048 I953|2907o 1954129092 105512911 22 / 200830276 2 200930298 228 ^22 ^1201030320^ 200630233 206631513 21 ;2126 32756 28 200730255 20673I5342i!2I2732777 22 200830276 206831555 211212832797 ” 2069315762, |21 2932818 It T O Q'O Q 2011130341)22 2012130363,^20 lo 13I303 84 2 2! 2073 31660 2, j213 313 2899 * ' 12074316812,1213432919 ;2Q*7 C 21702., 21 2 C 2 204.0 2OI43O406 201530428 1956129137 1957 10 c8 29159 29181 1959129203' i960 29226 2oi6ho44922 207631723 2ir*o-^-y— 2017304712i 20773[7442!^2137329802I 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 X971 I972 r973 1074 1975 1976 *977 1978 x9 1980 29248 29270 29292 29314 29336 293 58 29380 29403 29425 29447 2027 29469 29491 29513 29535 29557 22 . 2037130771 2I|'20913 2035 2J 29579 29601 29623 929645 29667 Vol. XI 208631931 208731952 2028 30707 2Ii 208831973 2I 202930728 22j2o893i9942Ji 22 2030307^0^1209032015^^ ;oi 20 21 o 9 ^ T- / 2! 201830492 .. „ 20il ... . 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N. 2400 2401 2402 38021 38o39 38o57 240^38=751,8' 38o93 ■ •- ^-|1qi246439i64 2405 38ii2I j fti2465 3918 2 24°4 2406 2407 2408 2409 24TO 2411 2412 241 2421 2422 2423 2424 2426 2427 Log. jD.j N. 2460 2461 2462 24631 Log. D. 39°94 39111 39I29 39^6 38i3° 38i48 38166 38184 lg 2466|39199 >sra3997 j gl 2468139235 l8 246939252 13 8 202 i J2470)39 270 3822 38238 38256 24x438274 24153829 241650^ 241738328 2418 38346 241938364 242038382 38399 384i7 38435 38453 242538471 38489 38507 2428 38525 242938543 24303856: 2431 2432 2433 2434 2435 38578 38596 38614 38632 38650 243638668 2437 38686 2438 243938721 244038739 2441 2442 2443 2448 2449 2450 2451 |2452 2453 2454 2457 2458 '2460 38703 38757 38775 38792 244438810 244538828 i8l247I|39287 l8 247239305 §12473 39322 l8 2474)39340 18 18 18 i8| 17 ! 8 8 i s! 2483 , 8 248739568 248839585 244638846 244738863 38881 38899 38917 38934 38^52 38970 38987 1245539°05 2456139023 39041 39058 ’2459 39076 39°94 2475)39358, 2478j394Io 247939428 2480)39445 248x139463 248239480 39498 248439515 2485 24863955: 2489 2490 39602 39620 39637 39655 39672 3969 ig! 2495 39707 18; r8 249I ■2492 iS) 2493 iS' 2494 249639724 249739742 2498 l8! 2499 39777 2500 2501 2502 ? 2503 2504 2505 x7 18 x8 18 J7 1 18 I7) 18 18 1506 2509 2510 25I5 s 2516*4007 a25i740o88 ^:25i840io6 40123 ■®2-29 2j> 20 39533 7 18 !7 18 18 x7 18 18 J7 18 N. j Log. 252040140 252140157 252240175 39759 39794 39811 39829 39846 39863 39881 39898 250739915 250839933 39950 39967 251239985 251240002 12513400x9 251440037 40054 40140 2523 2524 2525 2326 2527 40192 40209 40226 40243 40261 252840278 252940295 25304°312 2531 40329 253240346 2533 2534 2535 40364 40381 40398 253640415 2537 2538 40432 40449 253940466 254040483 2541 40500 2542 172543 18)2544 2545 405 40535 40552 40569 254640586 2547 2548 2549 2550 40603 4062 2551 I2552 4063717 260941647 40654 7I261041664 I7l26n 41681 40671 40688 2553 40705 2554 2555 2557 2558 2560 2«66 2567 2568 2573 2574 2575 2576 2577 2579 2580 D. 17 18 i7 !7 17 17 18 17 J7 17 17 18 17 J7 x7 *7 17 40722 40739 N. 2580 2582 2583 Log. ID, 41162 258141179 41196 41212 258441229 258541246 258641263 258741280 258841296 25894i3i3 25904I33° 25914X347 259241363 25934i38o 25944i397 25954i4I4 25964I430 2597 4X447 259841464 25994i48i I ^2600 II *260141514 IJ26o24i53x r;260341547 7 260441564 ^ 712605)41581 'I260641597 i7|26o7 416x4 I7|26o84i63i 255640756 40773 40790 255940807 40824 256 2 562 2563 256440892 256^40909 40841 40858 40875 40926 40943 40960 256940976 2570 257 40993 41010 257241027 4io54 41061 41078 41095 41111 257841128 4IX45 41162 17 261241697 T*26134x714 261441731 261541747 x7 ll 17 17 x7 ‘7 17 x7 x7 r7 261641764 2617 41780 j26x84i797 261941814 262041830 262141847 262241863 I7|26234i88o *" 262441896 262541913 i? 4x497 262641929 262741946 26284196 262941979 71)263041996 263142012 171263242029 263342045 263442062*7 63542078 N. x7 16 17 17 17 x7 16 x7 17 x7 16 17 17 17 16 17 17 17 16 17 x7 16 r7 x7 16 x7 x7 x6 x7 x7 16 x7 x7 16 x7 16 2641 642 2643 2644 Log. [D, 264042160) 42177I6 42193 42210 42226 264542243 2646) 42259 2647) 42275 264842292 2649 2650 42308 42325 2651 26^2 42341 42357 265342374 2654 2655 4239 42406 265642423 2657 42439 265842455 265942472 2660 42488 2661 2662 2663 42504 425:21 42537 266442553 266542570 266642586 2667 42602 266842619 266942635 2670 42651 2671 2681 I2682 2683 2636 263742111 2638 2639 2640 42095 421 27 42144 42160 2673 2675 2678 |2686 2687 2688 x6j 268942959 429/5 ■3*69 2693 2694 2695 42667 267242684 42700 267442716 42732 267642749 267742765 42781 267942797 268042813 42830 42846 42862 268442878 268542894 42911 42927 42943 269142991 269243008 430 24 43040 43056 269643072 2697 2698 '1*699 ^■2700 270643233 2707 2708 2709 2710 43249 43265 43281 43297 ^12705143217 x6 N. | Log. 27O0|43i36 270143152 270243169 4=3 43-85 2704^43 201 D.| N. 2761 27II 76644185 276744201 76844217 ; 6)2769 44232 i6! 277044248 433x3 271243329 271343345 271443361 271543377 27J6 43393 271743409 I7 27x843425 !6 2719 43441 ^1272043457 272143473 _ 272243489 l6272343505 272443521 272543537 272643553 272743569 272843584 ^6 272943600 .^|2730|436i6 273143632 273243648 .65273343664 l6 27344368 273543696 l6|2736437i2 273743727 273843743 273943759 274043775 274143791 274243807 x 632743 45823 “‘74443838 274543854 16 17I l6 274643870 l6 274743886 !6 274843902 , 6274943917 l6 2750 43933 i2751 J 3275 2 43965 x 6 16 43088 43104 43120 431S6 27534398' 275443996 ^l2 755 44012 i6| 16 16 16) 2758 2759 2760 x6 278144420 i6 278244436 ,6 278344451 ,6 278^44467 ,6 278544483 43949 2756 44028 2757 277144264 277244279 277344295 277444311 277544326 277644342 277744358 ;6277844373 ,6 277944389 ^ 278044404 16 ID 16 16 16 15 16 x6 16 16 15 16 16 16 16! 44044 44059 44075 44091 16 16 )i-5 16 16 Log. D. 44091 l6 44107 76244122 276544138 i6|276444i54 ,^276544170 278644498 Xr278744514 ,6278844529 i6 278944545 l6‘279044560 ib 16 279144576 279244592 i6 2793446o7 ^279444623 279544638 , J279644654 ,6 279744669 ,6! 2798 44685 ,6:279944700 280044716 N. 282c j 2821 Log. 45025 4504 ;|b822|45o,6 ,6 2823145071 161 2824) 45086 2825) 45102 D. 283645271 2837 45286 283845301 283945317 J 284045332 16.0 284145347 i° 284245362 15 16 16 280144731 280244747 2803 44762 280444778 280544793 280644809 280744824 280844840 280944855 28104487 2811 2812 2813 44886 44902 44917 44932 544948 2817 2818 1281644963 44979 44994 281945010 282045025 282645117 282745133 282845148 282945163 283045179 283145194 283245209 283345225 ,283445240 ,£283545255 284345378 284445393 1284545408 284645423 284745439 '5 284845454 16 284945469 285045484 285145500 285245515 285345530 285445545 285545561 285645576 285745591 285845606 285945621 286045637 286145652 286245667 286345682 286445697 2865457*2 286645728 286745743 286845758 5 286945773 287045788 2871 45803 287245818 15 287345834 287445849 287545864 287645879 287745894 28784 C909 287945924 288045939 15 16 15 15 16 15 16 15 15 16 15 15 16 I5' 15 16 15 15 16 15 15 15 x6 15 15 15 16 15 15 15 16 15 15 15 16 15 15 15 15 16 15 15 15 15 15 16 15 15 15 15 15 J LOGARITHMS OF NUMBERS. N. 288045939 288145954 288245969 288345984 288446000 288546015 288646030 288746045 288846060 288946075 289046090 289146105 289246120 289346135 289446150 289546165 Log. 289646180 2897 46195 289846210 289946225 290046240 290146255 290246270 290346285 29044630 290546315 290646330 290746345 290846359 290946374 291046389 29 r146404 291246419 291346434 291446449; 29 T 546464 291646479 291746494 2918465C9 291946523 292046538 292146553 292246568 292346583 292446598 292546613 292646627 292746642 292846657 292946672 293046687 29P46702 293246716 a 2933;4673i 2934!46746 293 5:46761 2936:46776 293 7j46790 2938 46805 2940 29394682c 46835 D.\ 294046835 j2941468 50 294246864 2943 46879 294446894 294546909 N. j Log. 294646923 294746938 294846953 294946967 295046982 295146997 295247012 29C347026 29544704I 295347056 295647070 295747085 95847100 295947114 296047129 296147144 296247159 296347173 296447188 296547202 296647217 296747232 296847246 296947261 297047276: 297147290 297247305 2973473*9 297447334 297547349 297647363 2977 4737s 2978 47392; 297947407 298047422 D.i A5| 14 r5 r5 !5 x4 f5 15 H lS 15 x5 M L5 !5 J4 r5 r5 J5 I5 M H '5 IS r4 !5 J5 M J5 J4 x5 J5 r4 r5 14 301647943 3°i747958i 301847972 301947986 302048001 I15 298147436 298247451 298347465 298447480 298547494 298647509 298747524 298847538 298947553 299047567 299147582 299247596 299347611 299447624 299547640 299647654 299747669 299847683 299947698 300047712 15 r4 l5 l4 14 14 J5 r5 r4 T5 J4 J5 M I5I M 15 r4 l5 J4 X5I x4 N. 300047712 300147727 4 300247741 300347756 30044777° 3005477°4 300647799 200747813: 300847828 300947842 301047857 301147871 301247885 301347900 3OI4479I4 3OI547929 302148015 302248029 302348044 302448058 302548073 Log. 302648087 302748101 302848116 302948130 303048144 303148159 303248173 303348187 303448202 303548216 303648230 303748244 303848259 303948273 304048287 414830 304248316 3°43 4833 3044 48344 3°4548359 304648373 304748387 304848401 304948416, 305048430 1305148444 1305248458 305348473 305448487 3°5548501 305648515 3°574853c 305848544 i3°5948558 306048572 D. r5 [4 x4 l5 x4 x5 14 x5 M J4 15 14 r5 15 J4 r4 I5 I4 x4 r5 14 r5 x4 x4 x5 x4 r4 r5 M 14! T5 x4 T4 x 4 15 14 x4 15 4 1 4 M I5 x4 306748671 306848686 306948700 307048714 N. 3060 3061 3062 3663 3065 3066 Log. 48572 48586 48601 48615 306448629 48643 48657 3°7X 3072 48728 48742 307348756 307448770 307548785 3076 307748813 307848827 307948841 3080 308! 3082 3083 308448911 308548926 308648940 308748954 3088 308948982 309048996 13101 310249164 |310349178 49I92 49206 14 i4 3091 3092 3°93 3°94 3°95 3°97 3° 99 3100 3104 IOC 3107 3109 3110 3111 3112 3IX3 3XI4 S 3116 3117 3rI9 3120 48799 48855 48869 48883 48897 48968 490 ic 49024 49038 49° 5 2 49066 30964908c 49094 309849108 49122 49L36 4915° 310649220 49234 310849248 49262 49276 4929 493°4I. 49318 4 4933 311549346 49360 49374 311849388 49402 494x5 D, N. } Log, 14 *5 x4 r4 r4 r4 r4! 15 Mj I4| I4 T4 x4 14 x5 T4 '4 x4 I4 14 I4 x4 x4 T4 x5 x4 T4 x4 14 l4 r4 x4 M *4 r4 l4 14 14 r4 M r4 T4 r4 14 I4 r4 M I4 x4 l4 r4 141 312049415 13129 3I3° 3132 49568 „ 4958 3X3349596 313449610 313549624 3121 3122 3123 3124 312549485 3126 3127 312849527 3I36 3*37 49429 49443 49457 49471 49499 495*3 4954* 49554 49638 49651 313849665 313949679 3*4°i4969. 3*4* 3*42 3*4349734 314449748 314549762 3*4649776 314749790 314849803 3*49 3*5° 3*5* 3*52 3*53 3*54 3*5 315649914 3*57 3*58 3 * 59 316 49927 4994* 49955 49969 3*6i 3162 3*63 3*6-3 316? 3*665 3*67 3*68 3*69 3170 3*7* 3*72 3*73 3*7^ ;317 5 3*79 49707 49721 *4 14!' *4' 49817 4983* 4984; 49859 4987 49886 49900 49982 49996 50010 50024 50037 05J 5°°65 50079 5co9 30106 50120 5° *33 5° *47 50161 5° *74 317650188 317750202 317850215 50229 318050243 3*86 3*87 3*88 3*9* !3*92 3*93 3*94 3*9550447 *4" *3 *4 *4 *4 *4 *3 *4 *4 *4 *3 *4 N. 3*80 3181 318250270 3*83 3*84 3*855°3** 3*895°365 3190 3*96 3*97 3*98 3*99 3200 32°f 3202 32°3 3204 3 205 3 206 3207 j32°8 3209 32*4 5 *4 322 3221 3222 l4j322? 50826 *3l *4 *4 *4 *3 *4 *4 *3 *4 *4 *3 14 *4 *3 *4 *4 3224 i.3223 3226 3227 3228 3229 3230 323* 3232 3233 3234 3235 323651001 3237 3239 3240 Leg. 50243 5° 256 50284 50297 50325 50338 50352 50379 50393 50406 50420 50433 5046 50474 50488, 5-05°* 505*5 50529 50542 50556 50569 50583 50596 50610 50623 50637 3210I50651 50664 50678 3211 832*2 3213 5069 50705 32155071 321650732 321750745 321850759 50772 50786 50799 508*3 50840 50853 50866 50880 5089 s 50907 50920 50934 50947 50961 50974 50987 5*o*4 3238 51028 51041 5*055 I), *3 *4! >3 *4 ‘4 *3 *4 *3 N. 3240 324* 3242 3243 3244 3245 324651135 3247 324851162^33 3249 325 325* 3252 3253 51228 j|3254 5 *242 32555*255 *3 14 *3 *4 *3 *4 *3 r4 *4 *3 *41 *3 *4 8 r8 *4j| 13 326751415 13270 3277 3279 328C 3265 3 266 3268, 1327: 3274 Log. 5*055 51068 5*081 5*095 51108 5*121 5**48 N. 3300 [33°* 3302 3303 3304 3305 51851 51865 51878 51891 5*904 5*9*7 3307 31202 5*2*5 5**751I3 51188 3 0 14 *3 *3 14 *3 *3 *4 *3 r •> *4 *3 *3 *4 1 325651:68 3257 51282 325851295 32595*308 3260 51322 32615*33 3262 51348 32635*362 326451373 31388 5*402 5*428 32695*44* 5*45 51468 5*481 327351495 5*5o8 3275151521 3 276; 51534 5*548 5*56* 5*574 51587 5*601 5*6*4 5*627 3285 3281 3282 3283 3284 51640 3286 3287 3288 3289 51706 3290 3291 3292 3293 3294 5295 3297 3298 3299 3300 5*654 5*667 5168c 5*693 5172s 5*733 51746 5*759 5*772 ;>786i! 330651930 5*943 8 5*957 5*970 5*983 3309 33*o 33** 33*2 133*3 ’33*452035 33*552»43 3321 3322 [33 23 3324 *4 13325 52*79 52192 52205 c,|3326 13327 3328 52218 14I332952231 *3^ J333* 13332 *333 3 3334 3P *3 |4I *3 *3 *4,7 *31 *3 *3 *4 *3 *3 *3 *3 *4 *3 *3 *3 *3 13336 3337 333852349 329651799 51812 5*825 5*838 5*85* 331652061 33*7 331852088 33*9 3320 333° 3339 334° !334* 3342 [3343 13344 |3345 13346 3347 3348 3349 3350 335* 3352 33 53 3355 3356 3357 !3335852608 335952621 3360 Log, pj 5*996 52009 52022 52°75 52101 52**4 52127 52140 52*53 52166 52244 52257 52270 C2284 52297 3335523*0 52323 52336 52362 52375 52388 C2401 524*4 52427 52440 52453 52466 52479 52492 52504 52517 #2530 52543 3354 52556 52569 52582 52595 52634 *4 *3 *3 *3 *3 *3 *3 *4 *3 *31 *3 *3 *3 *3 *3 *3 *4 13 *3 *3 1 1 13 *3 *3 *3 *3 *3 *3 *3 *3 *3 *4 *3 *3 *3 *3 *3 *3 1 *3 *3 *3 *3 *3 13 *3 *3 *3 12 *3 3 *3 *3 12 M 2 92 LOG AM i BMS OF N. 336° 3361 3362 3363 364 3365 33661527x1 336752724 336852737 33^95275° 3370j.52763 •337^]52776i 337252789!i^! 3373'528o2A 3374528i5 337552827 3376 3377 337852866 3379 33 80 Fog. si). 52634 52647 52660 52673 52686 52699 .Fpo 3421 3422 3423 3424 3425 Log. u 534°3 534I5 53428 53441 53453 53466 52840 2853 52879 52892 52904 52917 5293° 52943 52956 52969 52982 52994 33Sl 3382 3383 384 3385 3386 3387 3388 338953007 339° 3391 3392 ;3393 3394 3395 5396 3397 3398 3399 :3400i ■340 340 3403 3404 3405 3406 340 3409 3410 3411 3413 3414 3 4 20 !3 I3 x3 I3 I3 12 3426 3427 3428 3430 3431 3432 I3 x3 12: x3 „ t13, 53479'. J 5349I|I; 53504M 3429 53517jI2 53 529 ' 13 f I3|' 12 x3 x3 12 N. ,348o S3481 3482 3483 3484 Log. 5415y 54I7° 54i83 54x95 54208 348554220 53542 53.555 3433 53567 343453580 343553593 3436 3437 3438 3439 5363J 53643 344053656 53020 53033 53046 53058; 53071 53084 53097 53110 5312 S3135 53 *48 3441 3442 3443 3444 3446 3447 3448 3449 345° 53x6i 535 73 53186 53^99 532i 53224 53237 340853250 <3263 5327 5 $1288 341253f01 53314 53326. 3415 53339, 3416 53352 341753364 34l853377 34195339° 53403 53668 53681 53694 537o6 3445 53719: 53732 53744 53757 53769 53782 53794 53807 53820 53832 i3456 3457 3458 34 59 3460 346i '13462 lq 3463 3464 3465 3471 347 2 3473 3474 113475 3477 347s 3479 53605! 3486 3487 3488 3489 349° 54233 54245 54258 54270 54284 D. 3491 54295 :349254307 13493 3494 3495 54320 54332 54345 I3496 54357 3497 349 8 3499 3500 I3451 3452 3453 3454 345553845 33857 53870 55882 53895 539°8 53920 53933 53945 53958 5397° 346653983 3467 3468 3469 3470 53995 54008 C4020 54033 54045 54058 54070 540B3 54095 347654108 54120 54I33 54I45 348054128 13501 3502 3503 3504 3505 33o6 3507 54370 54382 54394 54407 54419 5443 54444 54456 54469 54481 54494 350854506 3509 3 510 3511 3512 3513 54568 351454580 351554593 3516 3517 351854630 35x954642 352054654 3521 3522 3523 3524 3525 3526 54605 54617 N. 354° 3541 354254925 3543 3544 54937 54949 354554962 354(x 54974 3547 |3548 3549 355055013 3551 3552 3553 54667 54679 54691 54704 54716 54728 352754741 352854753 3529 353° 3531 353254so2 3533 3536 3538 3539 3540 54765 54777 5479° 548i4 353454827 353554839 54851 353754864 54876 54888 54900 355455072 3555 55o84 3557 3558 3559 356 3566 3567 3568 3569 357° 3571 3572 3573 54986 5499s 55Q11 55035 55047 5506 3601 3602 3603 360455678! 3605 1.2: NUMBERS,. 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D. N. J Log. D.j N. [ Log. 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Log. D. 10 438064147; 43Sl 4382 433163659 433263669 4333 63679 433463689 433563699 433663709 433763719 433863729 433963739 434063749 435663909 4357639I9 435863929 4359 4360 4361 4362,63969 4363,63979 4364,63988 4365,63998 434163759 434263769 4343 63779 434463789 434563799 434663809 434763819 434863829 434963839 435063849 438364177 438464187 438564i97 10 N. Log. |D. 64i57i1 64167 Log. 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D. 469667173 469767182 46986719 469967201 47006721c 470167219 470267228 47036723 4704,67247 4705i67256 470667265 470767274 470867284 470967293 471067302 66848 66857 66867 XO 9 9 10 9 9 1 of 9 711 [4712 67311 67321 466466876 46656688 5 466666894 466766904 466866913 466966922 66932 66941 660 co 6696 66969 66978 4676166987 4677(66997 4678167006 4679(67015 4680,67025 471367330 471467339 471567348 471667357 471767367 471867376 471967385 [472067394 472167403 472267413 4723 67422 472467431 472567440 472667449 472767459 472867468 472967477 473067486 475667724 475767733 475867742 475967752 476067761 ^ 476167770 9I476267779 476367788 476467797 4765678 Lug. lD. 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N. 68151 68160 68178 68187 68196 480968205 481068215 48x168224 481268233 4813 68242 4814 68251 4815 68260 481668269 4817 68278 4818 68287 481968296 482068305 482168314 482268323 482368332 482468341 482568350 91486a 4861 4862 4863 4864 486568708 486668717 4867 4869 Log. |D 68664 68673 6868 x 68690 68699 68726 486868735 68744 487068733 487168762 487268771 9' 4873 68780 9 487468789 9487568797 4827 4828 482668359 482968386 4830 68368 68377 68395 68404 68413 68422 484168494 484268502 484368511 484468520 484568529 4831 4832 4833 483468431 483 483668449i 4837 68458 483868467 483968476 4840 68485 68440 9; 487668806 9:4877688x5 9'487868824 9'4879 68833 9I4880 68842 9! 488168851 9:488268860 9*4883 68869 9 4884 68878 94885I68886 Log. 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ID. 99x45 99149 99x54 99x58 99162 99167 99171 99x76 9918° 99x85 99189 99I93 99198 99202 99207 992 xx 9821 9822 9823 9824 9825 >,'826 9827 9828 9829 9830 99216 9922c 99224 99229 99233 99238 99242 99247 9925! 99255 9831 9832 9833 9835 9836 9837 9838 9839 !984i 9842 9843 9844 ;926o 99264 99269 983499273 99277 99282 99286 9929 99295 984099300 99304 90308 993*3 993*7 984599322 N. 9850 9851 9852 9853 9854 9855 9856 9857 9858 9859 986c 9861 9862 ,863 9864 9865 Log. 99344 99348 99352 99357 99361 99366 99374 99379 79383 99388 D. 4 4 5 4 5 4 4 5 4! 5 99392 79396 99401 ;9405 994*o y866 9867 9868 9869 9870 994*4 79419 99423 99427 99432 9871 9872 9873 9874 9875 9846:99326 9847^9330 5984899335 L'984999339 ^ 9850.99344 98?( 9877 9878 987c 988c 9882 9883 9885 9886 9887 9888 9889 9890 989* 989 9893 79436 7944* 99445 79449 99454 99458 99463 9946 9947* 99476 9948c 79484 79489 988499493 ,9498 99502 99506 795** 995*5 99520 79524 99528 99533 989499537 9895 9896 9897 99542 9900 N. 9900 9901 Log. D. 99564 99568 990299572 990399577 9904199581 990599585 990699590 9907 9908 9909 99*o 99** 9912 99*3 99*4 99*5 99594 99599 99603 99607 99*6 99*7 9918 99*9 9920 992* 99 2 i 992 3 7924 9925 99546; 99550; 989899555; 989999559, 99564; 99612 99616 99621 99625 99629 99634 99638 99642 99647 9965* 99656 99660 9966. 99669 99673 7926 7927 7928 9929 -793° 993* 993 2 9933 9934 9935 9936 9937 9958 9939 994° 994* 9942 9943 99677 (99682 99686 99691 99695 N- 995° 995* Log. 99782 99787 I995299791 99699 99704 9970b 99712 997*7 99721 99726 99730 99739 99739 99743 99747 99752 [994499756 9945I99760 9946:99765 994799769 994899774 994999778 995099782 9953 9953 9953 99795 9800 99804 995 6 9957 9958 9959 996, 99808 99813 99817 99822 99826 19961 9962 9963 9964 996 • 99830 9835 99839 99843 99848 9966 9967 9968 9969 997° 9985 99856 99861 99865 9987c 997* 9972 9973 9974 9975 9976 ,9977 997 9979 19980 9981 9982 9983 9985 19987 '9988 999° 999* 9992 ,9993 9994 9995 4! 9999 99874 99878 99883 99887 9989* 99896 99900 99904 99909 999*3 999*7 99922 99926 99930 99935 S99S699939 99944 99948 99899995: 99957 99961 99965 99970 99974 99978 999699983 9997 4998 99987 99991 99996 00000 4 Vql. XII. Part L O ic6 LOGARITHMIC SINES AND TANGENTS. o Degrees. bin. Inf. ne$. 0-46373 6.76476 6.94085 7-o6579 5 7.16270 Dif. 67.24188 7.3088? 8 7.36682 97.41797 746373 7*5°512 7.54291 7.60985 7.63982 7.66784 177.69417 !87.71900 197.74248 207-76475 2i|7-78594 7.80615 7-82545 247.8439: 25 7.86166 26 7.87870 7.89509 7.91088 7.92612 7.94084 Tang. 7.95508 7.96887 7.98223 7.9952° 33 8:00 7 79 36 8.02002 378.03192 388-°435 398.05478 40S.06578 41 8.0765 42 8.08696 438.09718 448.10717 '458.11693 468.12647 478.13581 488.14495 498.25391 508.16268 51 8.17128 528.17971 53 8.18798 54 8.19610 558.20407 568.21189 578.21958 588.22713 598.23456 60 8.24186 Cof. 5429x Q 7-57767 7.60986 7.63982 7.24188 7.30882 7.36682 7-4I797 7-46373 sO ri 2 ////. 2 010 2 ^*463 70 6.76476 '’6°9 6.9408,- 6694 5800 5II5 4576 4I39; 3779 3476 321 2997 -2802 2633 2483 2348 222 2119 2021 193° 1848 1773 1704 1639 J579 i524 x472 1424 x379 I336 129 D f. Cot. 7.66785 7.69418 7.71900 7.74248 7.76476 7-78595 7.80615 7.82 C46 7.84394 7.86167 7.87871 7-8951° 7.91089 7.92613 7.94086 7-955IO 7.96889 7.98225 1223 ' 1190 11 c8 1128 I100| 1072 1046 1022 999 976 954 934 914 896 877' 860 843 827 812 797 782 7691 755 743 73° 8.02004 8.03194 j8-°4353 I8.05481 6581 8.07653 8.0870 8.09722 8.10720 8.11696 8.12651 8.1358 8.14500 8-I5395 8.16273 STijiSS 8.17976 8.18804 8.19616 8.20413 8.21195 8.21964 8.22720 8.23462 8.24192 30104 17609 2494 9691 7918 6694 5800 5XI5 4576 4139 3779 3476 3219 2996 2803 2033 2482 2348 2228 2119 2020 193I 1848 I773 I7°4 1639 x579 1524 x473 1424 x379 x336 1297 1259 1223 1190 1159 1128 1100 /«/• x3-53627 3-23524 I3-°J9I5 12.93421 12.83730 12.75812 1 2.69118 12.63318 12.58203 12.53627 Cot. 107 1047 1022 99 8 976 955 934 9X5 895 878 860 843 828 812 797 782 769 756 742 73° Cof. 0.0000 0.00000 0.00000 p.o 0.00000 b.oooo 0.00000 0.00000 p.00000 p.00000 0.00000 12.49488 12.45709 42233 12.39014 OiOOOOO 12.36018 12.33215 0.00000 12.3058219.99999 12.2810019.99999 12.25752 12.23524 1 2.04490 12.03111 12.01775 12.00478 11.99219 60 59 58 00057 56 55 54 53 52 51 49 48 47 46 45 44 43 42 41 40 9-99999o9 9.9999938 9.9999937 9-99999 3 6 0.00000 p.00000 0.00000 0.00000 9-99999 9-99999 12.21405 12.19385 ■I7454 12.15606 I2-i3833j9-99999;35 12.1212919.99999134 12.10490 9.99999'33 12.08911 9.99999I32 x 2.07387 9.99998131 12.05914 9.9999830 11.97996 11.96806 it.95647 9.99997 9.99998 9.99998 9.99998 9.99998 T99998 9.99998 9.99997 n.94519 11.93419 u.92347 11.91300 11.90278 11.89280 11.88304 1TT7349 9.99996 11.86415 9.99996 11.85500 11. 84605I9.99996 11.83727 11.82867 11.82024 11.81196 11.80383 n.79587 11.78805 11.78036 11.77280 11.76538 11.75808 89 Degrees. Tang. 9.99997 9-99997 9.99997 9.99997 9.99997 9.99996 9.99996 9.99996 9-99995 9-99995 9-99995 9-99995 9-99995 9.99994 9-99994 9.99994 99994 19.99994 b-99993 Sin. I Degree. Sin. Dif. J Tang. Ill ^7°° (R o rAi A'700 0j8.24i86 118.24903 28.256 518.27661 6 8.283 24 7 8.28977 88.29621 ^ 8.24192 Dif. 718 *•3‘495 608 128.32103 13 8.32702 I48.33292 i58-33875 8-3°879rt?fi 168.3445° 178.35018 188 35578 198.36131 208.36678 1 8.37217 228.37750 238.38276 248.38706 25 8-39310 268.39818 278.40320 288.40816 298.41307 308.41792 31 8.42272 328.42746 33 8.43216 I34 8.43680 358.44! 39 368.44594 378.45044 388.45489 398.45930 408.46366 41 8.46799 42 8.47226 43 8.47650 448.48069 458.48485 46 8.48896 478.49304 48 8.49708 498.50108 508^50504 518.50897 528.5128739 [8.25616 8.26312 8.26996 8.27669 673 663 8.28332 8.28986 UjCJ.xyvjil A ;8.29629 98-30255624 |8'3°263 599 59° 583 575 568 c6o 553 547 539 533 526 520 5X4 508 C02 49 6 491 485 480 474 470 464 459 455 45° 445 441 436 433 427 424 4I9 416 411 408 4°4 400 396 393 53 8-51673 548.52055 558.52434 568.52810 57 8-53 i83 588.53552 598,539l9 6o[8.54282 Cof. 8.30888 8-3i5°5 8.32112 8.32711 8-3 3 3° 2 8.33886 8.34461 8.35029 8-3559° 8.36143 8.36689 8.37229 8.37762 8.38289 8.38809 8-39323 8-3983 8-4°334 8.40830 8.41321 8.41807 696 684 073 663 654 643 634 5 617 607 599 591 584 575 568' 561 553 546 54° 533 527 520 5i4 5°9 co 2 496 491 486 480 475 47° 8.42287 8.42762 8-43232 . 8.43696464 8.44156460 455 45° 446 386 382 379 376 373 369 367 363 8.47245 8.47669 8.480894 8.48505 ^ 8.44611 8.45061 |8-455°7 t 8-4594844 8.4638 5437 N32 428 424 20 416 412 408 404 401 397 393 39° 386 383 380 376 8.48917 8-49325 8.49729 8. coi 30 8-50527 8.50920 8. ci31c 8.51696 8.32079 8.52459 8-52835 -,-2 8.53208373 8-535788S 8-53945 8.54308 Cot. 11.75808 9 II.75OQO Q 11-74383 11.73688 11.73004 o II-7233I 9 Cot. 54 11.71668 9 11.71014 ii.70371 1 i-69737 9.99991 51 11.69112 99992 9.99992 5 9.99992 9.99991 11.68495 9 11.6788819 11.67289 9 11.66698 9 11.66114 9 ii-65539 9 11.64071 11.64410 n.638579 ix-63311 999894 9.999894 9.999894 9.999894 9.99988 xi.62771 11.62238 9 11.61711 11.61191 11.60677 9 11.60168J9 11.596669 11.5917c 11.5867 n.58193 9:99988 .99988 9.99987 9.99987^ ^9873 II-577I n.57238 11. 11.56304 11.55844 II-55389i9 XI-54939 II-54493 11.54052 11-53615 ii-53i83 XI-52755 II-52331 11.51911 11.51495 367 363 11.51083 11.50675 11.50271 11.49870 i x-49473 11.4908 11.48690 11.48304 11.47921 1147541 11.47165 11.46792 11.46422 11.46055 11.45692 88 Degrees. Tang. A Coi. -9999300 . 99993 59 9-99993 58 9-99993 99992 99992 52 5° .99991 .99990 .999904 .99990 •9999°4 999 8 N .999863 9.999S6 3 99,999853 9.99985 3 9\99985 9.99984 56768I9.99984 9.^9984 9.99983 .99983 9.99983 9.99982 9.99982 9.99982 9.99981 9.99981 9.99981 9.9998c 9.99980 9.99979 9.99979 9.99979 9.9997b 9.99978 9.99977 9.99977 9.99977 9.99976 9.99976 9-99975 9-99975 9.99974 9.99974 9.99974 Sin. LOGARITHMIC SINES AND TANGENTS. 2 Degrees. Sin. Dif. 8:54282 8.54642 8.54999 38-55354 48.557°5 58.56054 8.56400 78.56743 8. C7084 98.5742 io8-57757 11 8.58089 8.58419 138.58747 i4j8.<;9072 8-59395 16 18 19 20 8.60973 21 8.61282 22I8.61589 8.61894 248.62196 258.62497 360 357 355 351 349 346 343 341 337 336 33 2 33° 328 325 323 3 20 3f8 3i6 8.62795 8.6309 28 8.63385 8.63678 3.63968 3.64256 328.64543 8.64827 8.65110 8.65391 268.6 ^670: 8.65947 8.66223 8.66497 8.66769 8-597i5 17 8.60033 "8.60349 8.606628 8 311 3°9 3°7 3°5 302 301 298 296 294 293 290 288 287 284 283 281 279 277 276 274 272 270 269 267 266 263 263 260 259 258 2 56 254 253 252 250 249 247 246 244 243 242 8.67039 8.67308 8.67575 8.67841 8.68104 468.68367 8.6862.,7 8.68886 8.69144 8.69400 3.69654 528.69907 8.7oi59 8.70409 558.70658; 60 568.70905 8.71151 3.71395 598.71638 8.71880 Co?; Dif. Cot. Coi. F3S - :8.550271^ 11. 8.55382^^ ii. 8.55734^0 ri- [8.56083^^ ir. ^6429:3^ II- i8.56773;^T 111 :8.57-4; ^ "• 8.57452:3,6 II- 8.57788^° IT. ;8. 581 2lJ' “ II ■8-584511 II - !8.59i°5u„ ri' 8.59428321 i_i 8-59749 11 8.6eo683[9 18.60384 310 11. 8.60698314 11, 8.61009311 11. 4310 — 8.61319'' 11. 18.6162630' 11, 8.61931303 11. 8.62234303 11. 8.62535301 11. 8.62834^ n. 8.63131 ^ ii. 8.63426^ ri. 8.637182^ "■ 8.64009 11. 8.64298 ^ 11. 8.6458528c II- 8.64870^ 11. 8.65i5428^ II- 8-65715 g II S-659932]6 11 8.66269 274 11 8.66 543 II 8.668l6273 II. I 8.67087 ^ II 8.67356^ II 8.67624^ II. 8.67890^64 II. 8.684x7 6j ii- 8.68678 ii, 8.6893826q ii. 3.69.9s^ ... 8.S9453,r? 14 8.69708 “ II, 8.69962234 11. 8.70214 2^j H-- 8-704652^0 ii.: 8.7°7i4^ft n-: 8.70962 g 11.: 8.71208 11.: 8*7I453244 ii.: 8.7i697^'t4 11. 8.71940243 11. "CoT ~ 45692 45.331 ■44973! 4461 44266:9 439T7 9.9997460 9‘999f13\59 9.9997358 89.99972157 •99972o6 55 4357Ij9.9997I|53 43227,9.99970153 42886.9.9997oj52 4254 8.9.99969151 42212^9.99969155 4i879.9-99968:49 .4154919.9996848 9.9996747 9.9996746 9.99967 45 9.99966 9.99966 41221 .40895 40572 40251 39932 39616 9.9996542 9.999644 9.99964 9.99963 39302 38991 3 8687 38374|9.99963 38069 9.99962 37766 9,9996236 37465 9.9996i 35 34 33 37166 9.99961 36869 9.99960 36574 9.9996032 31 9-99959 3° 362829.99959 35991 357029.99958 354i5j9.99958 35T3' 348469.99956 34565 32376!9 32110 31 846:9 ;583|9 3i 31322 310629 30804 9 3° 547 30292 3003819 29786;9 29535 2928619 2903819 28792 2854719 2830319 9-99957 9.99956 3428519.99955 34007 3373' 33457 33184 9-99953 9-99955 9-99954 9.9995421 20 19 18 3291319-99952 32644 9.99952 9995i 9-99951 9995° 99949 9-99949 .99948 99948 9-99947 9.99946 •99946 99945 9.99944 99944 99943 9.99942 99942 ■PI 99941 28060 9.99940 Sin. 87 Degrees. 08.71880 1 8.72120 28.72359 3 8.72597 48.72834 58.73069 68.73303 78.73535 88.73767 98.73997 TO 8.74226 8-74454 8.74680 138.74906 8.75I30 il8 \75353 8-75575 22 r7 8.75795 18 8.76015 8.76234 8.7645: 8.76667 8.76883 238.77097 248.77310 8.77522 268.77733 8-77943 288.78152 298.78360 308.78568 31 8.78774 328.78979 338.79183 348.79386 358.79588 368.79789 378.7999c 388.80189 398.803881 408.8058 5 41 8.80782 428.80978 438.81173 448.81367 45 8.81560 3 Sin. Dit. j Tang. Dif 468.81752 47 8.8I944 48 8.82134 498.82324 5^8.82513 51 8.82701 528.82888 8.83075 8.83261 8.83446 55 568.83630 8.83813 88.83996 8.84177 8:_84358 " Co?. ; 240 239 238 237 235 234 232 232 23° 229 228 22$ 226 224 23 222 220 220 219 217 216 216 214 213 212 211 210 209 208 208 206 205 204 203 202 201 201 199 199 197 I97 196 *95 194 !93 192 192 190 190 189 188 187 187 186 185 184 183 183 181 181 8.71940 8.72181 8.72420 8.72659 8.72896 8.73132 8.73366 8.73600 8.73832 8.74063 8-7429 2 8.74521: 8.74748 8-74974 8.75199 8-75423 8.75645 8.75867; 8.76087 8.76306 8.76525 8.76742 8.76958 8.77387 8.7760 8.77811 8.7802 8.7823 8.78441 8.78649 8T7885} 8.79061 8.79266 8.79470 3.79673 8.7987 8.80076 8.8027 8.80476 8.8067 8.80872 8.81068 8.8x264 8.81459 8.81653 8.81846 8.82038 8.82230 8.82420 8.82610 8.82799 8.82987 8-83175 8.83361 8-83547 8.83732 (8.83916 8.84100 8.84282 8.84464 241 239 239 237 236 234 234 232 231 229 229 227 226 225 224 222 222 220 219 219 217 216 215 214 213 Cot. 210 209 208 206 206 205 204 203 20 2 201 201 !99 198 198 196 196 i95 194 !93 192 192 190 190 189 188 188 186 186 185 184 184 182 182 Cot. 11.2806 11.27819 11.275809.99939 9.9994060 59 58 9.9994: 11. J734 9.99938 11.271049.99938 11.268689.99937 11.266349.99936 9.99936 .61689.99935 9-99934 89.99934 11.26400 11 Cof. 11-25937 11.257 1^25479 9-99933 11-2525219-9993 2 48 9.99931 9.9993c 11.250269.99932 11.24801 n-24577 11-24355 11.24133 11.23913 11 ■23475 9.9992$ 9.99929 R _ 9-999284 n.23694 9.99927 11.232589.99926 11.230429.99925 79.99924 9.99923 9.99923 9.99922 11.21978 9.99921 11.21768 11.2155$ 11.21351 9.99920 9.99920 9.99919 11.21145 9.99918 11.2093$ ri.20734 11.20 53c 11.20327 11.20125 11.19924 u.19723 11.19524 11.193269.99911 11.191289.9991c x 1.189329.99909 11.187369.99909 11.18541 11-183479-99907 11.181549.99906 11.179629.99905 11.177709.99904 11.175809.99904 Ii-T73909-999°3 4’ 9.999264c 39, 38 3 36 35j 9.9991728 9.99917 9.999x6 9.99915 9.99914 9.99913 9.99913 9.99912 21 26 9.99908 11.172019.99902 11.170139.99901 11.168259.99900 11.166399.99899 1 K 16453 9.99898 86 Degrees. 11.162689.99898 II.160849.99897 II.I59009.99896 II.157189.99895 6 9-99894 Tang. Sin. :i 1 % 16 £5 14 is 12 11 IQ 9 8 7* 6 _5 4 3 2 1 o O 2 107 icB LOGARITHMIC SINES AND TANGENTS. 4 Degrees. bm. Dif. 8.84358 18.84539 28.84718 3 8.84897 181 179 179 178 68.85429 h 8485605 88.85780 8.85955 8.86128 8.86301 8.86474 8.86645 8.86816 ^ 8.86987 5 8.aj ^5^ j 176 I75 I75 173 *73 [73 71 I7I 171 169 169 169 167 168 166 166 ^5 164 164 63 163 162 162 160 161 !59 l59 I59 16 8.87156 78.87325 r. 8 8.87494 n 8.8766 20 3.87829 21 8.87995 228.88161 2^ 8.88326 24 3.88490 24 8.88654 268.88817 27 8.88980 288.89142 298.89304 308.89464 8.84464 8.84646 8.84826 8.85OC6 8.85185 8.85363 8.85540 8.85717 8.85893 8.86069 8.86243 8.87277 8.87447 8.87616 8.87785 8-87953 31 8.89625 32 8.89784 338.89943 368.90417 378.90574 388.90730 398.90885 408.91040 4118.91195 428.91349 438.91502 448.91655 45 8.91807 r57 !57 *56 T55 J55 J55 x54 *53 ^3 I52 152 I51 i'ang. Dif. | 182 180 180 179 178 x77 177 176 176 r74 8.8639' ^ 8.86,63; f2 8.87106 170 169 169 168 167 167 166 165 i65 l^5 11.14637 11.14460 11.14283 11.14107 II-I393I 11.1- 11.1; 11-I34°9 11.13237 11.13065 11.12894 8.88120 8.88287 8.88453 3.88618 8.88783 11.12723 11.12553 11.12384 11.12215 9-9987741 11.12047 9.9987640 8‘89II1!i62 8.89274I163 8.89437 8.89598 8.89760 8.89920 8.9008 8.9024c 8.90399 8-90557 8.90715 8.90872 •8.91029 8.91185 8.91340 8.91495 8.91650 8.91803 8.91957 468.91959 47 3.92110 488.92261 5 - 8.92411 ^5° 8.92561 :i8.927ioH9 528.92859^49 53 8.93007| 54 8*93154! 47 558.9330t| 47 56 8.93448! 578.93594!:^ 59 60 588.9374^46 8.93885;« 8.94030I 45 163 161 162 160 160 160 x59 158 158 i57 157 *56 I55 I55 I55 !53 T54 ,553 452 152 Cot. | Cof: 11.1 5536|l9-99894i6o! 11.15354 1 I*I5174 11.14994 Degrees. 9.9989359 9.99892|58 . 9.99891:57 11.14815 9.99891 56 9.9989055 ;9.99889!54 9.9988853 9.9988752 9.9988651 3757 9-99885 3P3 9.9988449 9.9988348 9.9988247 9.99881 46 9.998804J 11.11880 9.9987944 9.9987943 9.9987842 9-9987539 11.11713 9.9987438 11*11547 11.11382 11.11217 9.99871 11.11052 11.10889 11.10726 11.10563 11.10402! I I.I0240) 11.10080 11.09920! 50 9.9987337 9.9987236 9.9987034 9.9986933 9.998683 9.998673 9.998663c 29 28 9.99865 9.99864 ,, 9.99863 11.09760 9.99862 1 r.09601 9.99861 11.09443 .0928519.99859 11.09128 11.08971 11.08815 9.99856 11.08660 11.08505 8.92110 8.92262 *-92563,Ji 8.92866! o p3«65|;4i 8!93462^9 Cof. 8-93609 8 93756I 4^ 8.93903 8.94049j! j ^5 8.9419 j 4 Cot. 35 9.9986c 24 9.99858 ;9'99857 9.99855 9.99854 08350 9-99853 ii.o8i97'9.99852 11.0804319.99851 n.o789oi 9.99850 11.07738 9.99848 11.07586,19.99847 11.07435 9.99846 11.07284 9.99845 11.07134 9.99844 11.06984 9.99843 11.06835 9.99842 11.06687 0.99841 11.0653819.99840 11.0639119.99839 11.0624419.99838 11.06097:9.99837 II.°595I |9.99836 11.05805I9.99834 T ang. 1 Sin. ! 1 10 Sin. 0,8.94030 I|8-94I74 28.94317 38.94461 4:8.94603 5i8.94746 20 268.97629 27 8.97762 28 8.97894 29 8.98026 308.98157 6,8.94887 7,8.95029 8,8.95170 918-95310 8.95450 Dif. 8.95589 8.95728 3 8.95867 48.96005 58.96143 68.96280 7 8.96417 88.96553 98.96689 8.96825 Tang. 8.96960 8.97095 8.97229 8.97363 58.97496 31 8.98288 328.98419 338.98549 348.98679; 358.98808: 368.98937 37 8.99066 388.99194 398.99322 408.99450 41 8-99577 8.99704; 8.99830 8.99956 9.00082 M4 143 144 142 J43 141 142 I4I 140 140 J39 x39 !39 138 138 x37 r37 136 136 136 x35 '35 r34 J34 133 i33 J33 132 132 !3i 131 !3I 130 130 129 129 129 128 128 128 127 I27 126 126 8.94195 8.94340 8.94485 8-949*7 Dif. J45 H5 H5 Cot. 11.05805 11.o 5660 8.95060 8.95202 4 8-95344 4. 8"95486II4; 8.95627 4 140 8-95767 i.i 8.959°8 x oQ 8.96047 38 8.96187 ]4° 8.96325 8.96464 8.96602 3° 8.96739 8.96877 ;p 8.97013 8.97285 8.97421 ^ 8.97556 j8" '8.9769I 33 8.97825 134 8.97959 |34 8.98092 133 8.98225 133 8.98358 J33 469.OO2O7 9.00332 9.OO456 499.OO581 9.OO7O4 9.OO828 529.OO95I 9.OIO74 9.OI I96 9.OI318 569.OI44O 9.OI561 9.OI682 9.O1803 60^.01923 126 i25 I25 124 125 123 124 123 123 122 122 122 121 121 121 120 8.98490 8.98622 132 8.98753 |3 J 8.98884 131 8.99OI5 131 - 130 8.99I45 8.99275 30 8.994°5 3q 8-99J34i2| 8.99662 8.9979 8.999I9 9.00046127 '9.00174 9.00301 11.04940I9.99828 54 11.04798 9.-998 27 53 11.046569.9982552 11.045149.9682451 11-04373 11.04233(9.9982249 11.04092 9.9982148 iI.03953t9.9982o'(47 11.03813 9.9981946 11.03675 11-03536 11.03398 11.03261 11.03123 129 128 Cof. 9.9983460 9.9983359 II-055I5 9.9983258 ,I.05370i9.9983I57 11.052279.9983056 11.050839.9982955 9.9982350 9.9981745 9.9981644 9.99815I43 9.99 814(4 9.9981341 11.0298719.99812,40 11.028 5c 9.9981039 11.02715 9.9980938 11.02579 9.99808I37 11.02444 9.9980736 11.02309 9.9980635 11.0151c 9.99798 11.013789.99797 11.02175 9.9980434 11.02041 9.9980333 11.01908 9.9980232 11.01775 9.9980131 11.01642 9.9980c 3c 29 28 27 26 2_5 24 23 22 21 20 11.01247 II.OIII 11.00985 9:99796 6 9.99795 9-99793 11.008559.99792 11.00725 11.00595 11.00466 11.00338 9.00427 9.°0553 9.00679 9.00805 9.00930 85 Degrees. Cof. 9.01055 9.01179 9.01303 9.01427 9.0I55° 128 127 126 126 126 126 125 i25 124 124 124 123 123 123 11.00209 11.00081 10.99954 10.99826 10.99699 9.01673 9.01796 9.01918 122 9.02040 9.02162!122 10-99573 9.99791 9.99790 9-997 9.99787 9.99786 9-99785 9-99783 9.99782 9.99781 9.99780 10.994479.99778 9-99777 9:99776 9-99115 10.99321 10.99195 10.99070 10.98945 10.9882 9-99773 &.99772 10.98697^9.99771 10.9857319.99769 10.9845p‘!9.99768 Cot. 10.98327^9.99767 10.982049.99765 io.98o821'9.99764 ■ o.9796o'9.99763 10.97838 9.99761 Tang. | Sin. 84 Degrees. 2 LOGARITHMIC SINES AND TANGENTS, 6 Degives. 39.02283 q 9.02402 S9-ol520 69.02639 79.02757 89.02874 99.02992 109.03109 119.03226 129.03342 139.03458 i49-°3574 15 9.0369,< ! 6 9.03 805 17 9.03920 189.04034 199.04149 209-04262 219.04376 229.0449 23 9.04603 249.04715 259.04828 269.04940 279-05°52 289.05164 299.05275 309.05386 319.05497 329.05607 339-°57I7 '349.05827 359-°5937 36I9.06046 '379-°6i55 389.06264 39j9.°6372 409.06481 bin. Dif. 09.01923 I20 19.02043! 20 2 9.0 2.163! I20 “9 118 119 118 IJ7 118 II7 “7 116 116 116 116 115 115 it4 II5 ”3 “4 114 H3 112 IJ3 112 112 112 in in in no 110 110 110 109 109 109 108 109 108 107 108 107 8‘°7 100 107 106 105 106 105 105 105 105 104 104 104 103 103 103 41 9.06589 429.06696 439.06804 449.06911 459*°701 469.07124 479.0723 489-°7337 499.07442 509.°7548 519-07653 529.0775$ 539.07863 9.07968 9.08072 54 569.08176 57 9.08280 589.08383 59 60 9.08486 9.08589 Cof. Tang. Dif. Cot. 9.02162 9.02283 9.02404 !9-02525 9.02645 9.02766 9.02885 9-03005 9.03124 9.03242 :9-°3361 9*°3479 !9-°3597 9.03714 9.03832 9.03948 9.04065 9.04181 9.04297 9.04413 9.04528 9.04643 9.04758 9.04873 9.04987 9.05101 9.05214 9.05328 9.0544! 9-05553 9.05666 9.05778 9.05890 9.06002 9.06113 9.06224 9-06335 9.06445 9.06556 9.06666 9.06775 9.06885 9.06994 9.07103 9.07211 9.07320 121 121 121 120 121 H9 120 119 118 119 118 118 117 118 116 ny 116 116 116 115 II5 H5 II5 H4 H4 IJ3 ri4 113 112 IJ3 112 112 112 in in 111 no 111 no 109 no 109 109 108 9.07428 9-07536 9.07643 9.07751 9.07858 10.97838 IO-977I7 io*97596 10.97475 IO-97355 10.97234 Cof. 9.99761 9.99760 9-99759 9-99757 9-997565 9-99755 109 108 108 107 108 107 106 9.07964 9-0S°^iO6 9-08l77 g 9.08283 ^ 9.08705:;^ 9.08810105 9.08914104 10.97115 9.99753 10.969959.99752 10.96876.9.99751 10.96758-9.99749 10.96639 9.99748 IO-95935 10.96521 9-99747 10.96403J9.99745 10.96286:9.9974447 10.96168 9.99742 10.96052 9.99741 45 9.99740 io-958i9 9-997384 IO<957°3 9-997374 10<95587 10.95472 10,95357 10.95242 10.95127 10.9501 10.94899 10.947869.997263 10.946729.997243 IO*94559 10.94447 IO>94334 Cot. 9-997364 9-997344 9-99733 9-99731 9-9973° 39.997283 9.99727 10.94222 10.94110 10.93998 9-99723 3 9.997213 9.99720 9-997l8 9.9971 9-99716 10.9388719.9971 io.93776 9.99713 10.93665 9 IO-93555 10.93444 IO-93334 10.93225 99711 5^9.99710 9.99708 9.99707 9-997°5 I0.93H5 10.93006 10.92897 10.92789 10.92680 10.92572 10.92464 lo-92357 10.92249 10.92142 9.99704 9.99702 9.99701 9.99699 9.99698 9.99696 9.99695 9.99693 9.99692 9.99690 10.92036 10.91929 10.91823 10.9171 10.91611 10.91505 10.91400 10.91295 10.91190 10.91086 Tang. 3^ 29 7 28 27 426 9.99689 9.99687 9.99686 7!9-99684 9.99683 9.99681 9.99680 9.99678 9.99677 9-99675 Sin. 83 Degrees. 169.10205 179.10304 189.10402 9.10501 9-I0599 269.11184 27 7 Degrees. Sin. Dif.j! Tang. Dif.| Cot. 9.08589 9.08692 9.08795 9.08897 9.08999 9.09101 69.09202 7 9-093°4 89.09405 9.09506 9.09606 9.09707 9.09807 9.09907 9.10006 9.10106 103 103 102 102 9.10697 9-I0795 9.10893 9.1099c 9.11087 9.11281 289.11377 29 9-11474 3°9-II57 319.11666 329.11761 ;339-Il857 349-II952 35 9-12047 369.12142 379.12236 389-I2331 399-i2425 409-i25i9 419.12612 429.12706 439.12799 449.12892 459-i2985 469.13078 479-I3I7I 480.13263 499-I3355 5° 9-13447 9-I3539 9.13630 9.13722 9-i38i3 9.13904 9-I3994 9.14085 589.14175 59'9.14266 609.14356 101 102. ICO 101 100 100 99 100 99 99 98 99 98 98 98 98 97 97 97 97 96 97 96 96 95 96 95- 95 95 94 95 94 94 93 94 93 93 93 93 93 92 92 92 92 91 92 91 91 90 91 90 91 90 Cof 9.08914 9.09019 9.09! 23 9.09227 9-09330 9.09434 9-09537 9.0964c 9.09742 9.09845 9.09947 9.10049 9.1015c 9.10252 9-I0353 9.10454 i°5 104 104 103 104 103 103 102 103 102 102 101 102 IOT 101 IOI 9-10555 9.10656 9.10756 9.10856 9.10956 9.11056 11155 9-H254 9-II353 9-II452 9-II55I 9.11649 9-II747 9.11845 9-11943 9.12040 9.12138 9.12235 9-12332 9.12428 9-i2525 9.12621 9.12717 9.12813 9.12909 9.13004 9.13099 9-I3I94 9.13289 9-i3384 9.13478 9-I3573 9.1366'] 9.13761 9-i3854 9.13948 9.14041 9-I4I34 9.14227 9.14320 10.91086 10.90981 10.90877 io.9°773 10.90670 10.90566 10.90463 10.90360 10.90258 10.90155 10.90053 10.89951 10.8985CI9.99656 9.14412 9*I4504 9-I4597 9.14688 9.14780 101 100 100 100 100 99 99 99 99 99 98 9g 90 98 97 98 97 91 96 97 96 96 96 95 95 95 95 9,5 94 95 94 94 93 94 93 93 93 93 92 92 93 91 92 Cof. f99675 9.996745 9.99672 9.99670 9.99669 9.99667 9.9966654 9.99664 53 9.9966352 9.99661 9.99659 10.89748 10.89647 10.89546 10.89445 10.89344 10.89244 10.89144 10.89044 10.88944 10.88845 10.88746 10.88647 10.88548 10.88449 10.88351 10.88233 10.88155 5T 11 9.9965849 48 9.9965547 9-99653 9.99651 46 45 9.9965044 9.9964843 9.9964742 9,996454! 9.9964345 39 38 9.99642 9.99640 9.9963837 9.9963736 9.9963535 9.99633 9.99632 9.9963032 9.996293 10.88057 9.9962735 10.8796c 9.99625 10.87862 10.87765 9.99622 10.87668 9.99620 10.87572 10.87475 10.873799.99615 10.87283 9.99613 9,99624 9.99618 9.99617 9.99612 9.99610 10.87187 10.87091 10.86996 9.99608 10.8690119.99607 10.86806 10.86711 10.86616 10.86522 10.86427 9.99598 10-86333 10.86239 10.86146 10.86052 10.8 39 36 10.85866 io-85773 10.85680 9.99605 9.99603 9.99601 9.99600 Cot. 10.85588 10.85496 10.85403 10.85312 9.99596 9-99595 9-99593 9-99591 9.99589 9-99588 9.99586 9.99584 29 28 27 26 55 24 23 22 21 20 !9 18 17 16 55 ‘4 !3 12 11 10 ~9 8 10.852209.99575 Tang. 9.99582 9.99581 9-99579 9-99577 Sin. 82 Degrees. IC9 EtO LOGARITHMIC SINES AND TANGENTS. 8 Degrees. Sin. 43 56 Ij9*I4445 2 9-1453 5 3 9.146 24 4!9-I47I4 _5j9^4^°3 6:9.14891 7J9.14980 89.15069 9;9'):5I57UU 10:9.15245^^9.15688 D. 12,9.15421 D.| Tang. 9.14780 9.14872 9-i4963 9-15054 y'9^_5236 8#15327 8g9-i55o8^n •i5598 89 90 89 90 _. 819.15867 I3 9-I55°8gg|9'I5956 i49-i5596879-i6°468q 159-15683 8'l9£6i358^ 8 9-15944 86! 9’1 ^40! 88 i99.i6o3o|86|9.i648988 20 9-i6ii6;^J9.i6577 g g 169.1 57708J9.i622488 .i5857o^9.i' 179 21 9.16 203|8^9.16665 gg 229.16289^ 1,9.16753 88 23 9-i65748^9*i684^87 87! 9.16312 249.16460 259.16545 269.16631 279.16716 289.16801 299.16886 309.16970 9.1692833 86!?210,687 g J9-17I03g7 3^9.171903' «5 9-I7°5 ^ 32 339-I7223 349-i73°7 35 9^ 7391 369.17474 37 9,I7 558 389.17641 9*I7724 9.17807 9-I7I398j9-I7622 9.17890 9-17973 9.18055 44I9.18137 499.18220 CotJ 10.8522019.99575 10.85128 9-99574 10.85037 60 59 9-9957258 10.849469.99570 10.84855 io.84764: 10.84673 10.84583 10.84492 10.84402 9.99559 89 p-1?2?? 35 ‘73633. 9-1745° 86 86 !9-17536 i77o836 !9.I78808t, 9.18x36 9.18221 9.18306 9.1839 469.18302 47|9*i8383 4819.18465 49|978 Sin. I I 1 112 LOGARITHMIC SINES AND TANGENTS. Sin. 12 Degrees. D.j Tang. jD. Cot. Col. C9-3i73« rQ9-3274763 10‘^7253 9-9904° i 9.31847^ 9.32810^ 10.67190 9-99°3^ , 19.32872?; io.67i28 9-99035 •59 9.3 2933 3 10.67067'9.99°3 2 -?9|9.32995x jio.67005'|9-9903° ■|9‘33°57 6;io-66943|9-99^7 29.31907 3 9.31966 49.32025 59.32084 69-32i43 9.32202 89.32261 59 59, 59 9-33"9 6. 599-33'8o62 60 59 58 57 56 5*5 r 10.66881 9‘99024j54 ?1110.66820,9-99o22!53 62, _o!L 59t9.33242?1io.66758j|9-99OI95 S;«;s|sifeitSfe i39-32553 I49-32612 5^32670 2ol9-3296° 58 9-339746o 27I9-33018 229-33°75 239-33i33 249-33i9° 2<;9-33248 rj9-335486i ^8 9*33?°96i 69-32728 79.327s6 8 9.3 2844 99-32902 9-3367°6t 9-3313'61 9-337926i 9-338536 9-33913 61 57j 269-333° 5 279-33362 289-33420 299-33477 30 9-33534 31 9-33591 329-33647 339-337°4 349-33761 35 9-3 3818 10.6645 2:9.990°5 47 io.6639i|9-9900246 10.66330 9.99000 4J 10.66269 10.66208 10.66147 io.66o87! xo.66026 9-34°346i Jr8!9-34°956o 9-34i556o 9-342I5 61 9-3427? 6 9-343366o 9-343966 q J9-3445?6' 9-34516 ^l9-34576 369-33874 37 9-33931 389.33987 399-34°43 409.34100 1D9-34I56 429.34212 439.34268 449-34324 4 i 9*3438 519-347I3 529.34769 539-34824 549-34879 55 9-34934 569.34989 579-35044 589.35099 599-35I54 609.35209 56 57 57 57 6 57 56 56 57 56 9-346356 9-34695 9-34755 9.34814 9-34874 9-34933 9.34992 9-35°5I 9-35111 9.35x70 9-35229 9.3 C288 9-35347 r6 9*35405 L 9-35464 56 cc 9-35523 c39-35581 ^9-3564? 9.9899744 9.9899443 9.9899142 9.989894 9.98986 4° ic.65966! 9-98983 39 10.65905 10.65845; 10.65785 10.65724 10.6 5664 10.65604 10.65544 10.65484 10.65424 9.98980 9.98978 9-98975 9.98972 9.98969 9.98967 9.9896432 9.98961 9.98958 :59 59 59 60 59 59 59 59 58 59 59 58 59 5 <9 10.65365 10.65305 10.65245 10.65186 10.65126 10.65067 10.65008 10.64949 10.64889 I10.64830 9-98955 9-98953 9.98950 9.98947 9.98944 10.64771 10.64712 10.646 53 10.64595 10.64536 10.6447-' 9.98941 9.98938 9.98936 9-98933 9.98930 9.98927 9.98924 9.98921 9.9891916 9.98916 *9.98913 14 10.64419I9.98910 10.64360I9.98907 -6P'^;rJ ? 49-35873 9-35931 VSC! 9-3 5989 319.36047 ■,J! 9.36105 55,9.36163 '9.36221 9-3^279 9-3 6336 10.64302 10.64243 9.98904 9.98901 9.98898 9.98896 9.98893 ‘9.98890 19-98887 9.9888 9.98881 9.98878 I9.98875 '9.98872 69-35536 79-3559 89-35644 99-35698 109.35752 13 Degrees. Sm. iD.|j Tang. jD. 0:9.35209 Il9-35263 2,9-3 5318 39-35373 49-35427 5 9-35481 11‘9.35806 12:9.35860 I39-359I4 i4',9-35968 59.36022 9-36336 9-36394 9-36452 9.36509 ,49-36566 7789-36624 9.36681 549'^738 7l9-36795 6 49.36852 l%9-3^9°9 jirk 54 54| 54j 54 6:9.36075 7:9.36x29 8:9.36182 i9Iq-36236 20.9.36289 j 9.36966 9.37023 9.37080 9-37I37 :J9-37193 j9-372J° M||9-373o6 9-37363 c J9-37419 77 9-37476 2ij9-36342 22:9.36395 2319-3 6449 249-36502 25i9-36555 2619.36608 279-36660 2819.36713 2919.36766 309-36819 58 58 57 57 58 57 57 57 57 57 57 57 57 53 53 54 53 53 53 i2 *3,, 53i 53 52 53 3119.36871 32:9-36924 t2, 339.36976^1 349-37028 3 5 9-3708T 3 6 9-3 7 23 3 379-3 7185 389-37237 399-37289 409-37341 41 9-37393 429-37445 43 9-37497 44 9-37549 459.37600 469.37652 9-37703 489-37755 499.37806 509.37858 9-37532 i9-37588 9-37644 9-37700 9-37756 Cot. Col. io.63664l9.98872 6c 10.6360619.98869 59 10.63 548 ;9.98867 58 10.63491 9.9886457 10.63434 9.98861 56 10.63376:9.9885855 10.633199.9885554 10.63262 9.9885253 10.63205.9.9884952; 10.6314819.9884651 10.6309119.98843 50 10.6303419.9884049 10.62977I9.9883748 10.62920S9.9883447 10.6286319.98831 46 10.6280719.98828 45 57 56 56 56 56 56 56 56 10.62750 9.9882544 10.62694 9.9882243 10.6263719.9881942 10.62581I9.9881641 io.62524j9.988i3 4c 10.62468! 9.98810 39 10.62412I9.9880738 10.62356 9.9880437 10.62300i9.9880! 36 9.37812 ;9.37868 9.37924 j9-3798° 9-38035 9-38091 ?6 9-38i47‘5 9.38202 9-38257 9-38313 9.38368 9-38423 9-38479 9-38534 9-38589 10.62244 9-9879835 9.38644 9.38699 9-38754 9.38808 9.38863 10.61909 10.61853 10.61798 10.61743 10.61^8 7 10.61632 9.98765 10.61577I9.98762 9.37909 9.37960 9.380x1 9.38062 559-38lI3 569.38164 9.38918 9.38972 9.39027 9.39082 9-39I36 9-3919° 9-39245 9-39299 9-39353 9-39407 9-3946 |9-395I5 9-39569 I9.39623 ,9-39677 10.62188 9.9879534 10.6213 10.62076 10.62020 10.61965 9-9879233 9.9878932 9.98786(3 9-98783 9.98780 (9-98777 9.98774 9-9877 9.98768 10.61521 10.61466 10.61411 9-98759 9.98756 9-98753 55 54 55 55 54 54 55 54 54 54 54 54 54 54 54 10.61356; 10.61301 10.61246 10.61192 10.6113 10.61082 10.61028 9.98750 9.98746 9-9 8 743 9.9874 9-98737 I9-98734 il.9.98731 10.60973 9.98728 10.60918 9.98725 10.60864 9.98722 10.60810 9.98719 10,60755 9.98715 10.60701 9.98712 10.60647 9.98709 io.6o593l9.987o6 10.6053919.98703 10.6048519.98700 10.60431 b.98697 10.6o377]9.98694 - 1.60323I9.98690J o 10 LOGARITHMIC SINES AND TANGENTS. 113 14 Degrees. 9.38368 9.38418 9.38469 39-3s5l9 9-3857° 9.38620 69.38670 79 38721 89.38771 99.38821 09.38871 1119.38921 1219.38971 -13;9-39021 I4j9*39°7x 15(9.39121 16 9-3 9170 179.3922° 189.^0200 9-39319 9-39369 369.40152 379.40200 389.40249 399.40297 4° 9.40346 9.39418 9.39467 9-39517 9.39566 9-396 >5 D. Tang. D 9-39677 9-39731 9-39785 9.39838 9.39892 ;9-39945 50 51 50 51 So 5°ji ! 9-39999 9-40052 co 9-40io6 JJ;9-40i59 ^19.40212 50 5° 5° 269.39664 279-397J3 289.39762 9.39811 9.39860 9.39909 9-39958 9.40006 9-40055 9.40103 9-40394 9.40442 9.40490 . .9-40538 459.40586 36:9.40634 479.40682 4819.40730 49(9-40778f: I9.40266 ''19.40319 19-4037 '9.40425 5J9-4Q478 9-40531 <°9-4°584 IoS9,4o636 499.40689 ,9l9-40742 9-40795 9.40847 9.40900 9.40952 9.41005 9-4io57 9.41109 '9.41161 9.41214 '9.41266 9-4I3l8 8 9-41370 9.41422 9.41474 9-4i526 i9-4I578 ;9.4i629 :9.4i68i 9-41733 9.41784 48 48 48 j 47 509.40825^6 9.41836 9.41887 9.41939 9.41990 9.42041 9.42093 9.42144 I9.42195 9.42246 9.42297 5119.40873^9.42348 52,9.40921^ 9.42399 539-40968A!!9-4245o 549.4x016^ j: 19.42501 9-4 255 2 569.41111! 57'9-4ii58A 58,9.41205^ 599-41252^7 609.41300^ i Cof. i 9.42603 9-42653 9.42704 9-42755,^0 9.42805, 54 54 53 54 53 54 53 54 53 53 54 ',53 53 53 53 53 53 52 53 53 53 52 53 52 53 52 52 52 53 52 52 52 52 52 52 52 51 52 52 51 52 51 52 51 51 52 51 51 51 51 51 51 51 51 51 5J 50 51 51 Cot. 10.60323 10.60269 10.602x5 10.60162 10.60108 10.60055 ,9.98690 19.98687 19.98684 19.98681 b.98678 9.98675 10.60001 10.59948 10.59893 10.59841 10.59788 10-59734 10.59681 10.59628 IO-59575 10.5952 Cof. 9.98671 9.98668 9.98665 9.98662 19-98659 5° 9.9865649 '9.98652 9.98640 9.9864646 9.9864345 10.59469 ro.5941619.9863643 ;9-98633 ,9.98630 io-59364 10.593 x 1 10.59258 10.59205 IO-59I53 10.59100 10.59048 IO-58995 10.58943 10.58891 10. C8839 10.58786 IO-58734 10.58682 10. C8630 10.58578 10.58526 10.58474 Cot. 10.58422 io-5837i x 0.58319 10.58267 10.58216 xo.58164 10-58x13 10.58061 10.58010 IO-57959 IO-579°7 io-57856 10.1:7801: IO-57754 IO-577°3 19.98640 9.98627 '9.98623 9.98620 :9.986i7_. 9.9861436 ’9.98610 44 :9.986o734 I9.98604 33 9.98601 9.98597 9.985943° 9.98591 9.98588 9.98584 9.98 581 9.98578 9.98574 9.98571 9.98568 9.98565 9.98561 9-98558 9-98S55 9-98551 9.98548 9-98545 10.57652 10.57601 IO-5755° 10.57499 10-57448 IO-57397 IO-57347 10.57296 1 o-57245 IO-57I95 Tang. 9.9854! 9-9 8 53 8 :9-98535 j9-9853I 9.98528 |9-98525 !9-98521 9.98 ex 8 !9-985x5 9.985! x '9.98 cc8 9-985°5 9.98501 9.98498 9-98494 Sin. 75 ^ rees. 15 Deg rees. Sin. D.| Tang. D.i Cot. 0;9-41300L m39-428o5( r T I;9-4I347!L|9-42856;-;0 2:9-41394;^ 9-429°6!-5 39-4I44Icf 9-429571 49-4I488jTZ 9.43007 5|9-4x535ll'9-43057 f^5g1!#-43Io8ko 719.41028^ 39.431580 8|9-416751^9.432081^ 5° 50 s5J 9:9.417221^ i4° 47 c 46 9.41768 9.418x5 9.41861 9.4190 9.41954 9.42001 69.42047 9.42093 9.42140 9.42186 9-42232 9.42278 229-42324 23 9-4237 249.42416 25 9.42461 847 46 47 46 $ 269.42507 279-42553 289.42599 299.42644 309.42690 19-42735 329.42781 339-4282645 349.42872 359-429I7 9‘43258 9-433°8 ‘9-433 58 9.43408 '9-4345 9-435°8 9-43 558 50 50 _ 5° 8 50 50 .J9-43607 ^ 9-4365? 9-43707 p-43756 I9.43806 47 369.42962 379.43008 3 8 9-43053 399.43098 409.43143 ;9-43855 ;9-439°5 ■9-43954 9.44004 9-44053 19.44102 9-4415x :9.442ox 9.44250 9-44299 9.44348 9-44397 9.44446 9-44495 9-44544 9-44592 9.44641 9.4469c 9-4473 8 9.44787 19.43x88 42 9-43233 ,c 43 9-43 278 77 449-43323 45 9-43367 469.43412 47 9-43457 489-435°2^-5 499-43546 509.43591 51 9-43635 529.43680 539-43724 549.43769 55 9-43 813 569-43857 579.43901 589.4394675 9.43990 9.44034 Cof. 50 49 50 50 49 5° 49 50 49 50 49 49 49 50 49 49 49 49 49 49 49 48 441 45 44 45 44 45 44 44 44 9.44836 ,9.44884 9-44933 9.44981 9-45029; ,9.45078 9.45126 ,9-45174 '9.45222 19-4527* i9-45319 I9-45367 i9-454I5 9-45463 9-45511 9-45559 9.456o6^ Coi. 10.57195,9.9849460 io.57144 9.98491 59 10.57094 9.98488 58 I0-.57043 9-98484 57 IO-56993 9-98481 56 7a56943 9-98477 55 10.568929.9847454 10.56842:9.98471 53 10.567920.9846752 10.56742:9.9846451 10.5669219.98460' 50 10-5664219.98457 49 IO-56592:9-98453 48 10.56.5429.9845047 10.56492 9.9844746 10.56442 9.98443 45 9.98440 44 io-56393 io-56343 10.56293 10.56244 10.56194 19.9843643 9-98433 9.98429 9.98426 10.56145 10.56095 10.56046 1 o-5 59 96, IO-55947 10.55408 ro-55359 x 0.553 *o 10.55262 10-55213 10.55164 10.55116 10.55067; 10.55019' 10.54971! 9-45654 9.45702 9-45750 Cot. 10.55898 10.55849 IO-55799 I0-5575o 10-55701 10.55652 10.55603 IO-55554 Io-555°5 10.55456 9.98388 9.98384 9.9838 9-983II 9-98313 10.54922 10.54874 10.54826 10.54778 10.54729 10.54681, 10.54633 io-54585 1 o-545 3 7 10.54489 10.54441 10.54394 10.54346 10.54298 _ 10.54250I9.98284 42 41 40 9-9842239 9.9841938 9.984x5 9.98412^ 9-98^935 9.9840534 33 9.98402 _ 9.9839832 9-98395 9.98391 9-9837® 9.98366 9-98363 9-98359 9-98356 9-9 8352 9.98349 9-98345 9.98342 9-98338 9-98334 9-98331 9.98327 9.98324 9.98320 9.98317 9-983i3 9.98309 9.98306 98302 9.98 299 9.98295 9.98291 9.98288 Tang. f| Sin. 74 Degrees. Vol. XII. Part I. H4 LOGARITHMIC SINES AND TANGENTS. IO 16 Degrees. 9-44°34L J9-45750 Sin. {D.|j Tang. |D. 9-44l^!44 9.441661 rj 49-442I° 5944353 69’44297j44 794434144 8 9443 8 945845 !945892 94594° '945987 44 9'44472i I9-44J16;., 2 9-44S5«S 39-44^ IO.5425Ofj9.98 284 60 I0.54203i9.9828l|59 9 46° 3 5 ’9,46082 9.46130 9.46177 9.46224 10.54155 10.54108 10.54060’ 10.54013 47 48 47 47 47 48 9.46271 9463 9.463 66 4^ 9.46413 9.46460 69.44733!.. 79-44776« 8944819^° 9 9.44862j4^ -9449054° ». 10 H44 946507 946554 '9.46601 ■9.46648^ 9.46694^ 9.44948 944992j4q 9450351:^ 249450771* 2c945I20i43|9 269.45‘63i | 27 945 2°6 *4 8 945249, — 47 946741.. 9.46788 4^ 946835 4^ I9.4688146 4692847 j —T^)4q|j947o68 4^ 29 9 45292^ 947”446 30 945334^3 |947i^47 46 Cot. Cof. 10.53965 10.53618 10.53870 xo. ^3823 10.53776 17 Degrees. 9.98277158 9-9827357] 9.9827056’ 9.9826655 9.9826254 9-9825953 9.9825552 9.98211 51 9.98248 50 9T9824449 9.98240 48I 10.53729 10.53681 _ io.53634!q.9823747 10.53587 10.53540 9.9823346 9.9822945 o.53493!9-9822644 1 O'. 53446! 9-98222 43] 10.5339919-9821842 10.53352 io.53259j 10.53212 io.53t65' , io.53ii9l9-98I9636 io.53072i9-98i9235l 945377L2|947207 329-454I9i* 947253 3394546243.947299 34 9455°4* 3 i9'47346 4- 15 945547,* 2’94759 2 36945589^1947438 37 9-4563243 j947484 4^ 389-45674,4 947530S4 39 9-457 i64j9-475764? 41 42 43 44 45 9457584^ 43 ^69.46011 47946053 48946095 49946136-+ 9.46x7s42 5° 46 9.9821541 0 433 061^9821 40 9.9820739 9.9820438 9.9820037 10.53072 10.53025 10.52979 10.52932 10.52886 10.52840 10.52793 10.52747 9.9818934 9-9818533 9.9818132 9817731 9.9817430 9.98170 9.98166 10.52701I9.98162 10.526549.98159 10.5260819.98155 9458- 945843 4 9-458854 9-45927 9.45969 9.46220 9.4626 9-46^3 9-46345 9.46386 :4 80646 9.4,85046 51 52 53 54 55 569.46428 57 _ 9.46469 589.46511 946552 9.46594 Cof. 9.47897^ 9-47943 4^ 947989 4^ 9.4803546 9.4808045 45 6 45 10.52516 10.52470 10.52424 9.4762240 10.52378 9,47668 ^6 9477144. 9.477604 10.52562i9.98151 9.98147 9.98144 ;9.9814O 9-98136 9-98132 9.98129 9.98125 9.9812I 9.98117 IO.52332 IO.52286 IO.5224O IO.52194 IO.52148 4J9,4o1261 1948I71 I9.48 217 ‘9.48262 4 4948307 10.52103 10.52057 10.52011 10.51965 10.51920 i9-4835346 42r’ 8^9 I; 4 9-48443j4^ l#-48489^ 4 9-4853445 Cot. 10.51874 10.51829 10.51783 10.51738 IO:5L6?3 10.51647 10.51602 10.51557 10.515H 10.51466 . Tang. 9.98113 9.98x10 9.98106 9.98102 9.98098 9^9809^ 9.98090 9.98087 9.98083 9.98079 29 28 2? 26 24 24 23 22 21 20 19 18 17 l6 -4 14 13 12 II 10 9.98075 9.98071 9.98067 9.98063 9.98060 Sin. Sin. ID. 01946594 19466354 2 9.46676 4 39467i74i 49-46758 4 5 9.40800 4 2 69.46841 79468S24 8 9.469 23 4 9 9-46964 4 947005 40 9-47°45 947°864 947127! 9.471684 15947209 16947249 17947290 18947330*! 1994737 209.4741 21 947452 23947533 249-47573 3 259476i3|4° 36948054 , 37948o944 1 38948133^ 399.48173* 40948213 73 Degrees. 269.47654^ 279.47694 ■ 8947734* 29947774* 3£ 94 T^4 40 1947854 9.47894 39-47934 49-47974 4 4° 40' 5 948o 14 4° D. Tang- 9-48534 9-48579 0.48624 948669 43 948714 45, 9487594^ 9.48804 9.48849 43 9.4889445 9-48939*, 9.48984 43 4° 45 9,49029 44 949073** 0.40118",'-', 949163 43 45 9.49207 . 49252 9-49296 44 . 4934i43 9-4938544 9.49430 9.49474 949519 949563 44 9.49607 44 9.49652 Cot, ij CoiTj 9.9806060 10.51466 9.9805659 0.9805258 9.9804857 0.08044 56 9.98040551 45 10.51421 10.51376 10.51331 10.51286 10.51241 10.51196 10.51151 10.51106 10.51061 10.51016 10.50971 10.50927 10.50882 10.50837 !9.98oo5t46 10.50793 9.98001,45 10.5C748I9.97997I44 10.50704I9.97993I43 10.50659 9.97989142 10.50615 9.97986;4i io-5057o!9-97982;fP 9.49696 9.49740 9,49784 ^ 9.4982844 9.49872 i9499l6 419-4996o Q. 50004 9.5004' 9.50092 419.48252 429.48292 43948332 449.48371 459.48411 19-50136 9.50180 9.50223 9.50267 9-50311 9.9803654 9.9803253 9.9802952 9.980& 9.98021150 9.9801749 9.9801348 9.9800947 .8 44 44 44 44 43 44 44 44 9-50355 ,. 9-50398*3 9.50442 9.50485 9-50529 46I9.48450 479.48490 489.4852934 499.48568 50*9-48607 51 {9.48647 52‘9.48686 39 539-48725 54i9-48764 5 519-48 893 569.48842 5719.48881 58-9.48920 599.48959 44 43 44 43 44 39i! 39! 9-50572 9.50616 9-50659 9‘5°103 9*50746 9-50789 ^, 9-5o83344 Q. C0876 9.5O919 9-50962 9.5IOO5 9.5IO4 . 51092 ,9.51135 60J9.48998 39 9-5 ” 78 _ Cof. 1 Cot'. IO.4942S1I9.97878 14 1 0.49384|9.97874 13 I0.49341|9.97870I2 IO.49297I9.97866 II IO.49254I9.97861 I 9^97857 9-97853 9.97849 9-97845 9.9784I 10.4921 1 IO.49167 IO.49I24 IO.49081 10.49038 8 43 44 43 10.48995 10.48952 10.48908 10.48865 9-97837 9-97833 -9-97829 9.97825 10.50526:9.9797839 10.5048119.9797438 1°.50437:9.9797037 io.50393 9-9796636 10.5034819.97962 35 io.50304!9T9795834 10.50260I9.9795433 10.50216I9.979503 10.50172I9.979463 10.5012819.9794230 10.50084 9.97938 29 10.5004019.97934 28 10.4999619.97930 27 10.499 5219.97926 26 10.49908:9.97922 25 10.49864I9.97918 24 10.49820(9.9791423 io-49777!9-9791c 22 io.49733l9-979o6 2i x 0.49689-9.9790 2 20 to.4964519.97898 19 10.49602I9.97894 1 10.49558S9.97890 17 10.49515J9.9788616 10.49471 9.97882 15’ 10.48822 9.97821 Tang. I! Sin. 72 Degrees. I OC\Q I P LOGARITHMIC SINES AND TANGENTS. 18 Degrees. 9.48998 9-49°37 29.49076 39-49ii5o8 '■ 9-49I53 on 9.49192 69.4923 79.49269 89.49208 9-49347 9-493 8 5 10 9.49424 9.49462 9-49500 49-49539 t59-49577 4° Sin. D. 169.4961 c 7 9-49654 189.49692 9-4973° 9-49768 9.49806 9.49844 9.49882 9.49920 9;4_9958 9.49996 27 9-50034 289.50072 9.50110 9.50148 9-50x85 9.50223 9.50261 9.5029 359-5°33 369-5°374 9.50411 9.50449 9-5°523 9-5°56 9-5°598^9-52953 41 42 43 9-5°635 4^9-5°673 45i9-50710 4619-50747 47'9-5°784 489.50821 9-5o858 30 9-5°896^ 9-5°933 9.50970 9.51007 549-5I043 559.51080 569.51117 57 _. 9-5II54 589-5x191 9-5I227 9-51264 Cof. 9.51178 9.51221 9-51264 9-51306 9-5I349 9-5I392 38 39 39 38 39 38 38 39 38 38 39 38 38 3 8 38 38 38 38 38 38 38ii 38; 38 38 37 38 38 837 Tang. D. Cot. 9-5I435 19.51478 9-51520 9-5i563 9.51606 9.51648 9.51691 9-51734 9.51776 9-5i8i9 9.51861 9-5I9°3 9.5x946 9.51988 9-52031 9-52°73 9-52II5 9-52I57 9.52200 9-5 2242 63s 38 37! 38 99.5048637 g.5 2829 9-5287° 43 43 42 43 43 43 43 42 43 43 42 43 43 42 43 42 42 43 42 43 42 42 42 43 42 42 42 42 42 42 42 42 42 42 41 42 9-5270342 9-52745;42 42 41 42 41 42 42 41 42 41 41 42 9-53327a 9-533684 9-534°9 9-5345° 9-53492 9-53533 9-53574 9-53615 9-53656 9-53697 9.52284 9.523 26 9.52368 9.524x0 l9-524 5 2 9-5 2494 9-52536 9-52578 9.52620 9.52661 10.48822 10.48779 10.48736 10.48694 10.48651 10.48608 10.48565.9.97796 10.4852219.97792 xo.4848o!9.97788 IO-48437'9-97784 10.4839419.97779 9.52787 9-52912 9-53x20 9*53161 9. C3202! 9-53244 9-53285 9-52995 9-53°37 53°78 Cot. C.T. ID, 9.97821 9.97817 9.97812 9.97808 9.97804 I9.97800 10.48352 10.48309I9.97771 10.48266 10.48224 10.48181 9-97767 9-97763 9-97759 io-48I39 10.48097 10.48054 10.48012 10.47969 ICM79~27 10.47885 io.47843 10.47800 IO-47758 10.47716 10.47674 10.47632 10.47590 i°-47548 10.47506 10.47464 10.47422 10.47380 IQ-47339 10.47297 IO-47255 9-97670 9.97666 10.47213 9.97662 10.47171 10.47130 10,47088 xo.47047 10.47005 10.46963 10.46922 10.46880 10.46839 10.46798 10.46756 10.46715:9.97610 10.46673 10.46632 10.46591 io-4655o 10.46508 10.46467 10.46426 10.4628 c 10.46344 I0-46303 ^ang- 9-97775 4 5 4 4 4 4 4 4 4 5 4 4 4 4 4 5 4 4 4 4 4 9-97734 5 9-977294 9-977254 9-977214 9.97717 9-97754 9-97750 9.97746 9.97742 9-97738 9-977I3 5 9.97708 9-977044 9.97700 4 9-97696 9.97691 9.97687 9.97683^ 9.976795 9.97674 |9-97657 j9-97653 !9-97649 19-9 764 5 '9.97640 I9.97636 ;9-97632 9.97628 !9-97623 ^•97619 9-976i5 5 9.97606 9.97602 9-97597 9-97593 9-97589 9-97584 9-9 7 5 8o.4 9-97576 I 9-97571 9*97 567 Sin. 60 59 58 57 56 55 54 53 52 5J 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 3° 29 28 2 26 25 24 23 22 21 20 19 18 !7 16 ^5 x4 !3 12 t 1 10 9 8 7 6 _5 4 3 2 1 o 71 Degrees. 9.5x264 9-5I301 5J338 5I374 514x1 5 9-51447 29 3 9 49 69.51484 5I52o r557 5*593 9.5x629 79 89.51 99 10 xi 9.51666 1:1702 •51738 5J774 59-5i8ij 129 I39 149 169 179 189 20 21 22 23 24 £5 26 2 289 29 35 31 32 33 34 35 369 37 389 39 40 49 5° Sm. D. 9-53697 9-53738 r6 9-53779 '5», 9-5382° .6'9-5386i 37l9-53902 9-53943 •5i847 .5x883 51919 9-5195 5 9-5 J"1 9.52027 9.92065 9.52099 9-52I35 9.52171 ^;9-54I47 io‘45853 9-97519 86;9-54i874i 10.45813 9.97515 3u!n to./i r-T-TO 9.97510 9-97506 .6p-543°941 io-4569* 9-975°1 ^ J9-5435040 io-4565o 9-97497 r !9-5439oL ro-456io9.97492^ ZI9-5443140 io-45569 9-974884 Zl9-5447I4, io-45529 9-97484“J j6i9-54512^ri|io-45488 9-97479^ 36 9.52207 9.52242 .52278 9-52314 9-52350 9-52385 9.52421 9-5245 9.52492 9-52527 52563 9-5259 .52634 9.52669 9-52705 9.52740 9-52775 9.52811 9.5284 9.52881 9.52916 .. 9-52951 . 489.529865^ 9 9.53021"" 9-5305 9-53092 9-5312 9-53i6i 9-53r9 9-53231 569.53266 579-53301 589-53336^ 9-53370 9-53455 Cof. T ang. 19 Degi D. 9-53984 '9-5402540 9-54065 L 9-54I°64I S6 36 36 36 35 36 36 36 35 36 .|,9-547544o io-45246 9-97453 , 9-5479441 10-452069.97448^ 9-54835TnIO-45165 9-97444] 9-54875lo IO‘461^6 9-97439 , 4r, io-45o85 9-97435 ] 9-5495540 Io-45045|9-9743o .. 9-54995 :010.45005 9.97426 6519-55°35T0 I°-44965 9-9742i 9-55075i0'44925 9-974I74 .2C9-55i5540 , 85^!9-55i9540io-448°5 9-97403 4 T io-44765 9-97399T 9-55275l^ io-44725 9-97394^ ^35 ^ 35 35 35 35| 9-545524I 10.454489.97475 9-54593 40 I0*45407 9-97470^ 9-546334o IO-45367 9-974664 9-9746*> 9-54673 9-547I4/jnIO-45286[9.974574 9-55554 3Z „ 63^9-557i2 634 35 Cot. Uot. Col. ! 0.46303 9.97567 10.46262 9.97565 10.4622119.97558 10.461809.97554 10.461399.97550 10.46098 9.97545 10.460579.97541 10.46016 9.97536 io.45975|9-97532 10.45935 9-975284 10.45894 9.97523 41 9• 5511510-44885 9-974124 39 10.45327 io.44845 9-55315 4^ 4^4468 5 9-9739Q ] 9-55355 ,10 IO-44645 9-973854 9-55395 _ 10.44605 9-9738i ] 9-55434^0 i°-44566 9.97376^ .554744 10.445269.97372] 9-55514 io-44486 9-97367^ 10-444469.97363 9-55593 10.44407,9.97359 ,-55633 T0I°-44367;9-973534 9-55673IO,44327 9-97349^ 10.44288 9.97344 9.97408 :9-55752'io-442489-9734o 9-55791 7oIO-44209;9-97335 ; * 3 J9-5583i4 10-44169:9-97331 4 •6]] 9-5587°^ io-44i30ij9-97326 9-5591°4^ 10.44090119.973 22^ 1 39 1 |9-55949" IO-44°5i|9-973i7 c :9-559894n io-44oi 619-97312 3 3yy.jjy^y ^.ipHpppH !-l';|9.560288^ 10.43972;9,97308 4 34 9.56067 3910.4393319.97303 8 35 9.561074° 10.4389319.97299^ Tang. | Sin. 70 Degrees. 6c 59j 58‘ 57 56 55 54 53 52 51 5^ 49 48 47 46 45 44 43 42 41 4° 39 38 37 36 35 34 33 32 31 3^ 29 28 27 26 25 24 23 22 21 20 *9 18 17 16 15 14 13 12 11 10 P 2 IT5 116 LOGARITHMIC SINES AND TANGENTS. 20 Degrees. Sin. °9-SM°5 i!9"53440 2,9‘53475 39-S3509 49-53544 T"+ 5/1 59-5357833 9.54466 9-54500 9-54534 9-54567 9.54601 369.54635 379.54668^6 38:9.54702^ 39:9-54735 409.54769 DJ Tang. D 9.56107 9.56x46 9.56185 9.56224 9.56264 9-56303 I9-56342 69-53613,,^ 79-53647j5‘Ti9-56381 8 9-53682P6|9.5642o 9 9-53716 619.56459 34! 9'56498 9.56537 9.56576 9.56615 9-56654 9.56693 1Q9-53 751 II|9-53785 129.53819 I39-53854 I49-53888 I59-53922 i69-53957 17 9-53991 IX89.54025 x99-54059 209.54093 219-54x27 229.54161 9-54I95 9.54229 9-54263 9-54297 . 9-54331 28 9-54365 9-54399 9-54433 4'9.54802 9-54836 9.54869 9-549®3 9-5493 42 43 44 45 46954969 9-55003 9-5503^ 9.. 5069 Q. 5^T 2 34 3 34 33 34 33 34 633 33 9v5x 55169 9. 55^20 2 9-55235 9.55268 34 33 33 33| 34 33 331 569.55301 .57 33 . . 9-55334 58 9-55367 9.5540° 9-55433 Cof. 9-56732 9.56771 ,9.56810 34 9.56849 34 9.56887 ^'9.56926 9.56965 9.57004 9.57042 9-5 7° 81 9.57120 9-57I58 57I97 9-J7235 9-57274 9-57312 9-57351 9-57389 9.57428 9.57466 9-57504 9-57543 9-57581 9.57619 9-57658 9.57696 9-57734 ,9-57772 ’|9-578i° 9.57849 39 39 39 40 39 39 39 39 39 39 39 39 39 39 39 39 39 39 39 38 39 39 39 3 8 39 39 38 38 39 38 39 38 39 38 38 39 38 S8 39 S8 38 38 38 39 38 S8 10-4303 5 10.42996 io-42958 9.97187 10.42919 9.97182 10.42880 10.42842 10.42802 38: 38 ,38 I9-57887 9-57925 !9-5796„ 9.5So°i 9-58039^ 9-58077 9*5811 5j" Q "9-J8-J3K 9-58229 38 IQ. 58267 8 583048^ ^9-58342^ 9-5838080 -'8 9.384188' Cot. Cot. 10.43893 10.438541 10.4381 10.43776I io-43736| 10.43697: Cof. D. 9.97299 9.97294 5| 9.97 289 9.97285 ,9.97280 9.97276'! 10.43658P9.97271 10,43619119.97266 10.43580 IO-4354I 10.43502 10-43465 10.43424 io-43385 10.43346 IO-433°7 9.97248 9-97243 9.97238 9-97234 9.97229 10.43268 9.97224 10.43229 9.97220 10.43190 9.97215 9.97262 9-97257 9.97252 10.43151 10.43113 9.97210 9.97206 10.430749.97201 10.42765 9.97163 10.42726 9.97159 9.97196 9-97192 9-97I78 9-97I73 , 9.97168 4 10.42688 10.42649 10.42611 10.42572 IO-42534 10.42496 10.42457 10.42419 10.42381 10.42342 xo.42304 xo.42266(9.97102 10.42228 9.97097 10.42190 [Q-42I51 10.42113 9.97083 10.42075 XO.42037 10.41999 10.41961 10.41923 10.41885 10.41847 9-97I54 9.97x49 9-97x45 9.97140 9-97135 9-9713°. 9.971265 9.97121 J 9.97x16^ 9.97111 , 5 5 5 5 4 9-97io7 9.97092 9.97087 9.97078 8 9-97073 - 9.97068 9.97063 7 9-97059 9-97054 9.970491 10.418099.97044 IO-4I771.9-97039 10.417339.97035 10.41696:9.97030 10.41658:9.97025 10.41620:9.97020 10.41582:9.97015 Tang, i Sin. 00 59 58 57 56 85 54 53 52 5 5^ 49 48 47, 46 45 44 43 42 41 4° 39 38 7 36 35 34 33 32 31 o 29 28 27 26 25 4 23 22 21 20 ~9 18 J7 16 55 ‘4 !3 x 2 11 10 ~9 8 7 6 _5 4 3: 2 t o 69 D- 21 Degrees. 1 Sin. D. Tang. D, 9-55433, 9.55466 29.55499 9-55532 9-55564 9-55-597 69-5563o 19-55663 89-55695 9.55728 9-5576i 20 22 11 9-55793 129.55826 139-55858 149-5589i 9-55923 16 9-55950 9-55988 18 9.36021 199.56053 9.56085 9.561 9.56150 9.56182 9.56215 259.56247 269.56279 79-56311' 289-56343 209-56375 9.56440 9-56472 9-56504 o2 33 32 33 32 9.58418 ^ 9-5845538 9*58493 qS 9-5853 9.58569^ 9.58606^ 9-58644|„ 9.5868l 9-58719q8 9-58757 ^ 9.58794 Cot. 10.41582 IO-4I545 10.41507 10.41469 10.41431 10.41394 Cof. D 9.58832 089.58869 19.58907 9.58944 9.58981 9.59019 9. coo c6 9.59094 9-5913i 9.59168 i9-59205 O 2 9-59243 0 9.59280 3 2 9-59317 32 9-59354 9-59391 q 2 9-59429 q q 2 9-59466 ^ 0 '9.5950 3£ 9-56408 p|9-59540 S2 32 9-59577 9-596U 9-5965 “'O 7 9-59725 9-56536^ 9-59688: 9-56568 9-56599 9.56631 389.56663 399. c66o c 409.56727 9-56759 9-56790^ 9.5682 9-56854 459.56886 32 o!i>- 5 3 2 32 9-59702 9-59799 9-59835 9.59872 9.59909 469.56917 47 9-56949^' 489.56980 9.57012 9-57044 9.57075 9.57107 9-57I3 9.57169 9.57201 9-57232 9.57264 58j9-57295 q 599-573260 609-57358O Cof. 31 3 32 31 32 83* 9.59946 9-59983 9.60019 9.60056 3 7 9.60093 of 36 7 37 9.60130 9.60166 9.60203 3 9.60240 3 9.6027636 9.60313 9.60349 9.60386 9.6042 9.60459 q2f9-6o495 4|9-6o532 3 [9.60568 9.60605 9.60641 10.41356 9.96986 10.41168 9.9696- 9.96957 5 10.41131 10.41093 10.41056 10.41019I9.96942 10.40981 10.40944 10.40906 10.40869 10.40832 10.40795 10.40757 10.40720 10,40683 10.40646 0.40609 10.40571 10.40534 10.40497 10.40460 10.40423 9.9686; 10.40386 10.40349 10.40312 10.40275 10.40238 10.40201 10.40163 10.40128 10.40091 10.40054 9.97015 9.97010 9.97005 9.9700 if* 9.96996(3 9.96991(0 10.41319:9.96981 io.4i28x!9.969763 10.412439-96971 ^ 10.4i2o6?9.96966° 9.9695 9.96947 j9-96937 9.969: 5 5 5 5 5 (9.96927 3 '9.96922° 9-96917 5- ‘9.96912 ^ 9.96907 5 9.96905 4 :9.9689b ° ig.96892 5 5 9.96888 (9.96883 5 9.9687S 5 9.96873 3 9-96868 3 9.96858 3 9-96858 -5 9.96848 ° .96843 3 9.96838 9.96823 ° 9.96828 ° 9.96823 3 9.96818 3 9.96813 -1 ~ - d j- IO.40OI 7 9.96808 -> 10.39981 9.96803 3 10.39944 9.967983 r 0.399,07 L96793 3 10.39870(9.96788 1 0-39834 9-96783 r io-39797!9-96778|^ 10.39760 9.96772 io.39724!9.9676' 10.39687(9.96762 10.3965x19.96757 10.396149.96752 io-39578:9-96747 , 10-39541! 9^6742 iO'395°S9-96737 10.39468:9.96732 10.394329.96727 IO-39395 9-96722 iQ-39359 9-967171 Cot. Tang. Sin. 60 59 58 57 56 55 54 53 52 51 5° 49} 48 4;j 46 45 44} 13 42 41 4° 39 38 37 ;6 68 Degrees. LOGARITHMIC SINES AND TANGENTS. Sin. 09-57358 119.57389^ 2'9-5742o 3.9- 5 7451 419.57482 I:9:575i4 6|9-57545. 7j9-57576^ 8.9- 57^7 9:9.57638 10:9.57669 iij9-577oo |9-5773 *39-57762 I4j9-57793 *5i9-57824 3* 3* 9.61400 l] 9-6*436 9.61472 9.61508 9 6154^ *6!9-57855 *7(9-57885 . 18,9.579163* 9.61 *99-57947 9-57978 9.58008 9.58039 239.58070 249.58101 259-58*3* 9.58162 279.58192 289.58223 9-58253 9.582843 9 583*4 9-58345 9-58375 9.58406 9.58436 3£ 3* 32 33 34 35 369.5846 379.58497 389.58527 9.58557 9.58-588 9.58618 9.58648 9.58678 9.58709 9 58739 4619.58769 479-58799 4.8:9.58829 49^9.58859 70,9-58889 5T9.58919 52;9.S8949I30 539 58979! 549-59009 559 59039 D. 22 Degrees. Tang ~ D. 36 9.60641 9-60677 9-60714^6 9-6o75o^6 19.60786^ 9.60823 9.61040 9.61076 9.611x2 9.61148 9.61184 9.61220 9.61256 92 9.6x328 9.61364 3* 30 3* 9.61579 9.61615 3 1 9.61651 9,6x687 9.61722 30 I 30 3* 30 3* 30 3* 3° 3° 3° 3* o ^o 30 3* 30 30 569-59069 579.59098 589-59'*28 599.59*583 609.59188 3 Cof. 9.60859 9.60895 9.6093I 9.60967 9.61OO4 961758 9.61794 9.61830!^ 9.6l 865 19.61901 ^6*93636 '9-61972 9.62008 19.62043 9 62079 9.62114 9.62 (50 9,62185 9.62221 9.62256 9.62292 -o>—^3cio-377°8 3 9.62327^ IO 37673 Cot. *0-39359 *o-39323 10.392S6 10.39250 19.96717 9.96711 9.96706 3 19.96701 S’ 10.392149.96696^ 10.39177 9.96691 *0.39*4* 10.39105 10.39069 9.96676^ 19.96670° I9.96665 s *0.39033 10.38996 10.38960 10.38924 10.38888 10.38852 I9.9666G 19.96655^ 9.966503 9-96645 J 10.38816 9-966403 10. 58780 10.38744(9.96629 10.38708 9.96624 10.38672 10 38636 9-96614 10.38600j9 96608 10.385649.96603 10.38528 9.96598 19-96593 9.96588 w.^8492 10 38456 1 2.2 842 1 IO.38385 IO. 5 8 349 IC-383 *3 * 82 7^ 10.38242 10.38206 10.38170 10.38135 10.38099 10.38064 10.38028: 10.3799 996556 9-9655* 9.96546 9.96541 9-96535 996530 996525 9 96520 IO-3 795 7I9-965 *4 Cof. 9.96686 9.96681 ^-96634 [9.96619 9 96582 9 96577 9.96572 9.96567 9.96562 10.37921 10.37886 10.37850 10-37815 10.37779 *0:37744 9.62362!° 0.37638 9-62398! 110.37602 9 96461 9-62433i°^io 37567 9.96456 9-96509 19-965045 '9.96498 996493 i9.96488 9-96483 9*96-i77 9.96472 9.96467 9.62468 36;io.37532 9.62504 962539 ■962574 9.62609 9.62645 9.62680 9.62715 9.62750 9.62785 Cot. -35i*0-37496 »35 *0.3746* 10.37426 4Q-3739* *0-37355 *0.37320 10.37285 .10.37250 9.96451 9.96445 996440 9.96435 9 96429 '9.96424 9-964*95 9.96413 9.96408 10.37215 9.96403 'Lang. I Sin. D. !6o 59 58 57 56 55 54 53 52 5* 5° 49 48 47 46 45 H 43 42 4* 40 39 38 37 36 35 34 33 32 3* 3^ 29 28 27, 26 5 4 2 3 22 21 20 *9 18 *7 16 15 *41 *3 12 11 10 67 Degrees. 9.59188 9.592183019.62820 ^(9-62855 9.62890 9.6292636 9-59247 9.59277 .9-59307 59-59336 69.59366 79-59396 9.59425 9-59455 9.59484 23 Sin. D.j Tang. 23 Degrees. 9.62785 D. 9.6296 9-595*4 9-59543 9-59573 9.59602 *5 9-5963 2 9.59661 9.5969c *89.59720 9-59749 9.59778 9.59808 9-59837 9.59866 249.59895 25i9-59924 10.37215I9.96403 *o-37 *80 9.96397 D 10.3714519.96392 3510.37**09-96387 3U 10.37074(9,96381 3510.370391,9.963765 'j9.63996SS 10.370041:9.96370 19.63031 35 10.36969I9.96365 5 ‘9 9.63066J35 10.36934 '9.963605 9-63*oij35 10.36899:9.96354:6 9-63 * 35l:? *0-36865.9.963495 ^ 10.3683019.96343! *0.36795 9-96338^ '35 10.3676019.96333:5 *o.36725|9-96327|c 3^ 10.36690119.96322,5 35 —HI - -6 2 919.63484 35 34 10.36621 35 10.36586 35 *0-3655* 26,9.59954 27i9-59983 28!9.6ooi 2 2 9I9.6co4i 30i9-6oo7o 3*;9-60099 3?,(9.6oi28 33:9.60157 349.60186 359-60215 36:9.60244 379.60273 389.60302 39,9.60331 4_o:9.6°359 4*.9 60388 42.;Q.6o4i7 439.60446 449.60474 459.60503 9-635I9 ,%-63553 29J9.63588 29j9-63623 29|9.63 65 7,34 10.363 43I9.962671 3 j9.63692!35 10.3 63081:9.96262|5 ,3410.36170I9.96240 “5 10.36135I9.96234 34 X0.36101I9.962295 35 10.36066:19.96223 469-60532 479.60561 489.60589 29 9.64003 y 9.64209! 99.64243 J19-64278 1% 643*2 29 9-64346 9 64381 49I9.60618 29 9.64483 9.64415 34 9.64449 34 34 9.60646 2 a 9.6451734 9.60675 529-60704 9.60732 9.60761 9.60789 57 9.60846 589.60875 9.60903 9.60931 Cof. 28 ^;9-645S6j34 *0.35414 6;9.6462oi3410.35380, 2| 9.64654134! 0.3 5 346: ^ :9.64688j3410.3531 759.60818 ^9 9.647 2 2:,54ji 0.35 27819.96095 j 9-64756^ 10.35244; 9.64790:9410.35210! 2 ^^9.648 24:3410.35176' Cot. Cof. D. 60 59 58 57 6 55 54 53 5 2 5* 5^ 49 48 4 46 45 io.36655J9.96316|N44 43 42 4* 40 39 38 37 36 35 34 33 32 1 3_° 29: 28 27 26 15 24. 23 22 21 20 10.36516 19-9631 *|5 I9.9630510 19.963005 l9 96294!0 33 10.3648119.962895 34 10.36447:9.962840 35 10.364121:9.96278:° 35 10.36377I9.9627315 *0-3634389-962671' io.363o8j;9.96262! 29j9.63726;34io.36274|!9.96256’6 “9|o.6376i;35 10.3623939.96251 5 ^919.6279535 10.3620419.96245’' 29;9.6383o 29 9.63865 29|9-63899 :%-63934 19-63968 34io.36o32;|9.962i8 35 io-35997i;9-962i2 34 io.35963';9.962075 35 iq.35928,'9.96201 34 ib.35894;|9.96i965 34 io.3586o!!9.96i9o 9.6417535 10.3582589.961855 34 10.35791 °4 ‘0-35757 35 10.35722 34 10.35688 34T0.35654I9.96157 33 10.3561919.96x51 19.96179 9.96174 9.96168 9.96162 5 6 *o.35585i9-96i46|5 *o.3555 *'9-96*40; *0-355 *7:9-96* 35 3 *o-35483:9-96i29° 29l9-64552|35 *0.35448,9.96123 9.961185 9.961126 9.96107 5 9.96101 9.64858 34 Cot. *0-35 *42 Tang. 9.960905 9.960846 9.96079 5 9.96073 Sin. 66 Degrees. I 17 1.18 LOGARITHMIC SINES AND TANGENTS. O9.6094I I 9.60960 29.60988 39.61016 Sin. t).| Tang. 24 Degrees. D, 28,9-64892 9.64858 28 291 49.61045 2| 5 9.61073 28 69.61 IOI 79.61129 89.61158 99.61186 10 9-61214^ 119.61242 129.61270 139.61298 149.61326 i59-6i354 169.61382 179.61411 189.61438 199.61466 209.61494 9.65400 27 9-65434 ^9-65467 9.65501 9-65535 219.61522 229.61550 239.61578 249.61606 259.61634 269.61662 279.61689 289.61717 299.61745 309.61773 319.61800 329 61828 339.61856 349.61883 35 9-6I911 369.61939 379.61966 389.61994 399.62021 409.62049 9.64926 9.64960 9.64994 9.65028 39.65062 5 9.65096 9.65130 9.65164 9.65197 Cot. Cot. D. 9.65231 9.65265 9.65299 9-65333 9.65366 10.35142 10.35108 9-96073 6 9.96067 ^ 10.35074 9.96062 ^ 10.35040 9.96056 6 10.3500619.96050 io.34972|9:96o45 6 9.65568 28,9,65602 09-65636 "9.65669 9*65703 9.62079 9.62104 9.62131 9.62159 9.62186 41 42 43 44 45 469.62214 47:9.62241 489.62268 499.62296 509.62323 9 65736 9.65770 9.65803 9.65837 9.65870 9.65904 9-65937 9.65971 9.66004 9.66038 569.62486 9.62513 34 34 34 33 34 34 34 34 33 34 34 33 34 34 33 34 34 33 34 33 34 33 34 33 10.349389.96039 10.34904J9.96034 £ 10.3487019.96028 g 10.34836] 10.34803 9.66071 9.66104 !9.66i38 9.66171 9.66204 9.66238 9.66271 9.66304 9.66337 9.66371 9.66404 ' 9-66437 J9.66470 19.66503 9-66537 9.66570 9.66603 9.66636 9.66669 9.66702 9-66735 9.66768 9.66801 9.62541 ^ ^ 9*62568j2^9-66834 >9.6259527 cor: 10.34769 10.34735 10.34701 10.34667 10.34634 9.96022 9-96017% 9.960116 9.96005 9.96000^ 9-959946 "9.959885 io.346oo|9-95982 10.345669.959776 IO-34533j9-95971 5 10.34499 9-95965 r 10.34465 9.95960^ Io.34432|9-959546 10.343989.959485 10.34364 9-95942 IO-3433Ii9-95937 5 10.34297 10.34264 10.34230 10.34197 io-34x63 10.34130 10.34096 xo.34063 10.34029 10.33996 10.33962 10.33929 10.33896 10.33862 9-95931 9-95925 9.95920 9.95914 9.95908 9.95902 9-95897 6 9.958915 9.958855 9-958796 9-9587J 5 6 6 6 9.95868 19.95862 9.95856 9.66867 34 33 33 33 34! 33 33 33 33 34 33 33 33 33 33 33 33 33 33 33 1o.33829j9-958506 10.33796 9-95844 ^ 6 6 6 10.22762 IO-33729 xo.33696 10.33663 10.33629 Cot. 9-95839 9-95833 9.95827 9.9 C821 9.95815 10.33596 10.3343° 10.33397 10.33364 10.3333* 10.33298 10,33265 10.33232 10.33199 10.33166 i°.33 *33 Tang. 9.9581c io.33563 9-958o4! 10.335309.95798 *0-33497 9-95792 6 *o-33463,9-95786 9.95780 9-957756 9.95769 9-95763 9-95757 6 9-9575*6 9-957456 9-957396 9-95733 9.95728 Sin. 60 59 58 57 56 55 54 53 52 5* 5f 49 48 47 46 45 44 43 42 4* 40 39 38 37 56 35 34 33 32 3* 29 28 27 26 £5 24 23 22 65 25 Degrees. Sin. D. Tang. D. Cot. ; Cot, D. ' 69.6275’1 79.62784 89.62811 99.62838 109.62865 9.62595 9.62622 2 9.62649 39.62676 49.62703 59.62730 x 1 9.62892 129.62918 139.62945 149.62972 159.62999 169.63026 179.63052 189.63079 199.63106 209.63133 27 27 27 27 27 27 27 27 27 27 27 26 27 27 27 27 26 27l: 27 27 9.66867 10.33133 9.66900^10.33100 9-66933^x0.33067 9.66999^ *0.33001 9-67032^10.32968 9.67065--10.32935 9.67098 -^Ao.32902 9.67131 ^^40.32869 9-67*635^*0.32837 9.67196^110.32804 2*9-63*59 229.63186 239.63213 249-63239 25 9.63266 269.63292 279.63319 289-63345 299.63372 309.63398 319.63425 329.63451 9.63478 9.63504 9*6353* 369-63557 37 9-63583 389.63610 9.63636 9.63662 9.63689 9.63715 9.63741 449.63767 45,9-63 794 27 26 27 2 27 26 27 26 27 26 26 27 26 26 27 26 4619.63820 479-63846 4819.63872 49,9.63898 509,63924 9-63950 9.63976 9.64002 9.64028 9.64054 9.95692 6 9.95686 6 9-9568o6 9-95&746 9-95668 5 9-672295jio.3277* 9-956636 9.67262 ^ 10.32738 9.956576 9-67295:5|*o-32705 9-9565*6 9.673275 10.32673 9.956455 9-67360 3 i*o-3274Q| 9-95639 5 9-67393^ ^ 33 S2 33 33 32 33 33 32 33 32 9-677*9 „ 9-6775:2 ;; 9*67785 55 ^[9.67817 ^ 9-67850 335 9.67426 9.67458 9.6749* 9-67524 9.67556 9.67589 9.67622 9.67654 59-67687 9-67882 9*679*555 9-67947 9.67980 9.68012 33 32 S2 33 32 33 32 32 9.68206 39-6823955 * 9.68271 ^ 9-683035 9-6833635 9.68044 9.68077 9.68109 9.68142 9.68174 569.64080 9.64106 9.64*32 9.64158 9.64184 26 27 26 26 26 26 6 26 26 26 26 26 26 26 26 26 26 9-957285 9*957225 9.957165 9-957105 9-95 704 6 9-956985 10.32607)9.956335 1 o.32574],9,95627 6 *0-32542j9-9562i 5 10.32509 9 956155 10.32476 9.956095 10.32444 9.95603 6 10.32411 9-95597 5 10.32378 9-9559* 5 80.32346 9*95585 5 *0-32313 9-955795 10.31826 10.31794 10.31761 10.3*729 *0.31697 10.31664’ 9.68368 [9.68400 [9.68432 I9.68465 9.68497 Cof. 9.68529 9.62561 9.68593 9.68626 9.68658 9.68690 9.68722 9.68754 9.68786 9.688X832 Cot. 60 59 58: 57 56 55 54 53 52 5* 5° 49 48 47 46 45 44 43 42 4* 40 10.32281:9.955735 10.32248:9.955675 10.32215 9.95561 5 10.321839.955555 *0.321509,955495 10.321189.955435 10.32085:9.955375 10.32053:9.955315 10.32020:9955255 10.319889.955195 *o-31956 9-955I3 6 io-3*923“9-955077 10.31891:9.95500^ 10-31858 9*954946 9-9548B5 9.954825 9-954765 9-95470 5 9-954646 9 954585 *0.3*632 9-954525 10.316009.954465 10.31568 9.954405 *o.3*535 9-954347 *o-3*503 9 95427 5 10.3*47*19.93421 6 *o.3*439 9-954i5 5 *0.31407 io.3I374|9-954036 *0.3*342 *0.313109.9539 10.31278 10.31246 10.3 x 182 Tang. 9-954095 9-95397 5 9 953845 9-953785 * 0.31214:9.953725 9.95366 Sin. 39 38| 37 36 II 34j 33 32 3* 3£ 29 28 27 26 £5 24 23 22 21 LOGARITHMIC SINES AND TANGENTS. 119 69-64339 79.64365 89.6439! 99.64417 IO9.64442 II 9.64468 [29-64494 139 64519 149.64545 159.6457! 69.64596 79.64622 189.64647 199.64673 209.64698' 26 Degrees. 019.64184 1 9.64210 2 9.64236 3 9.64262 49.64288 59 64313 8in. D.ll Tang. D. 26 26 26 26 25 26 26 26 26 25 26 26 25 26 26 2 51 26 25 26 25 26 219 647242 229-64749 26 239.64775'^ 249.64800; ^ 25^.648 26 26^9-64851 27,9-64877 28I9.64902 29!9-64927 30:9.64953 9.68818 9.68850^ 9-6888#* 9-689 I Cj 9.689464 9-68978^ 9.69OIO 9.69O42 9.69O74 9.69IO6 9-69 1 38 9-69I7O 9.69202 9.69234 9 69266 9.69298 9.69329 9.69361 9-69393 9.69425 9.69457 26- 3 Ij9-64978 32:9.65003 33j9-65029 34I9.65054 35 j9; 6_5079 369.65104 37!9-65i3° 38.9.65155 39J9.65180 4019 65 205 459-653Ji 469.65356 47!9-6538i 489-65406^ 499-65431 ^ 509.65456 Cot. Cof. D. 10.311829.95366^ 10.311509.95360^ 10.311189.95354^ 10.31086 9.95348! 10.310549.95341^ 10.3102219.95335^ 9.69488 9.69520 9.69552 9.69584 9.69615 10.30990 9-953 29!6 9.69647 9 69679 9.697 io 969742 9-69774 9 69805 9.69837 9.69868 9 69900 9.69932 ^9.69963 -69.69995 9.7002 9.70058 9.70089 25 25 25 25 25( 26 4I|9-6523° 4219.65255 , ^ ^ 439.65281^9701843^ 44|9.653°6^r 9.702154 519.65481 529.655061 >[9.70466.^ 539.655311 3 9-69556^:9.70521 9-655801,^9-70560^ 9-656o5La9-70592 9.70121 9.70152 63 9.70247, 10.304809 95229 10304489.95223 10.304169 952^7 10.303859.95211 10.30958 9-953236 10.309269.95317 10.308949.95310 10.30862 9.95304 10.30830I9.95298 io-3°798|9 95292 5 10.30766:9.95286 IO-3G734;9-952795 10.30702,995273^ 10 30671.9-95267 10 306399-9526i 10.3060719.95254 10 305759 95248 10.30543 9.95242 10.3051219 95236 I0-30353|9'95204 10.30321 9 95198 10.30290 9 9'192 “ •30258|9-95I85 4 10.30226j9.95179 IO-3OI95|9-95I73 10.30163 9 95167 !0.3OI 32S9.9516c £ IO.3OIOO 9.95I54 IO.3OO68j9.95 148 IO.3OO37 10.30005 IO.29974 IO.29942 IO.299I I 9.70278J 9.70309 !9-7°34l '9.70372 9-70404: 9-70435' 9-9514i 9-95I35 9.95129 9.95122 9-95^6 10.2987919.95110 1029848I9.95103 10.2981619.95097 10.2978519.95090 10.29753 10.29722 10.29691 10.29659 10.29628 10.29596 10.29565 , / —1 22I11-29534: 9.70498^ ;io.29502 An^.r-^.3 lo.2947> 3 2 31 3 2 31 54 55 56 589.656551^9.70654^ 9.65680^9.70685^ 9.65705 J 9.707.17 ^ 9.95084 9.95078 9.95071 9.95065 9-95059 9.95052 9-95046 9-95039 9-95033 9.95027 60 59 58 57 56 55 54 53 52 51 5o 49 48. 471 46; 45| 44| 431; 42j 41 40] 39 38 37 36 35 34 33 32 31 3^ 29 28 27 26 25 24 23 22 10.29440 9,95020,'. 10.2940819,95014; 9-656.3o|^|9-7o623^ 10.2937719,95007^ - s ^-.*> 10,2934619.95001, ,o.293-|.9«95® 10 29283!9.94988/ Cof. Cot. Tang. \ Sin. 11 9.65976 12 9.66001 39 66025 149 66050 1; 9.66075' 09.65705 19.65729 29.65754 39-65779 49.65804 5 9.65828 Sin. D.» 69.65853 79.65878 89.65902 99.65927 0 9-65952 27 Degrees. 25 24 25 i 24 169.66099 17 9 66124 189.66148 199.66173 209-66197 21 9 66221 22 9.66246 23 9.66270 249.66295 9.66319 Tang. |D.j Cot. |9-7°717Li 9.70748^ j 9-70779!^ 9.7o8io‘-) 9.70841 9.70873 9.70904 9-70935 9.70966 9.70997 9.71028 9.71059 19-71090 9.71121 9-71153 9.71184 9-71215 9.71246 ,rH9-7I277 JI9-7I308 .T 9-7I.339 9.71370 9.71401 9-7 H31 9.71462 9-7 *493 269-66343 2,966368 5 289.66392 ^ 9.66416 9.66441 9.66465 9,66489 9.66513 9.66537 9.66562 38 9.66586 9.66610 9.66634 399.66658 40,9.66682 9.66706 9.66731 9-66755 9 66779 9.66803 41 42 43 44 45 469.66827 10.29283 10.29252 10.29221 10.29190 10.29159 10.29127 9 10.29096 9.94949 10.29065 10.29034 10.29003 10.28972 9,7.524 9-7I555 9.71586 9.71617 9.71648 (9.71679 9.71709 9.71740 9.71771 9.71802 !9-7i833 9-7 i 863 9.71894^ 9-7,925 t^71955 10.28941 Cof. 9.94988 9.94982 9-94975 9.94969 9.94962 94956 D. 9-94943 7 !9-94936;£ 9-9493°|7 9-949 23,a 60 59 58 57 56 55 54 53 52 51 5° 49 148 9.94917 io.289io;;9.949i i: 10.28879J9.949047 |47 10.28847,9.94898° 46 10.2881619.9489117 10.28785 9-94885! 10.28754-9.94878':' 10.2872319.9487117 10.28692 10.28661 9,94858 7 10.28630 10.28599 10.28569 10.2853819.94832^ 10.28507'*"' IO.28476 IO.28445 9.7 1986 9.66851 9.66875 9.66899 9.66922 9.66946 9.66970 ^4). 7 207 8 2>72I°9 30 31 31 3° 3r 23j^:^^23° 2+r-72I-10 ^4i:9.72I70 ?4|!9.7223i 2 4! 24 I9.72293 54 55 569 53 9 66994*4 9-72354 9 67oi8|24 9.72384 9.67£rfj9.7£4i5Lo , . 67066] j9-72445i,I 57i9-6709P;:t;9 72476p 589.671134519.72506:3 599.67>37i2%725373‘ 60 9,67l6li 49.725673O 9-72323 10.28383 10.28352 10.28321 10.28291 10.28260 10.28229 10.28198 10.28167 10.28137 10.28106 10.28075 10.28045 10.28014 9.94865 ( 9-94852 9 94845f 9-9483 9: 9.94826 9.94819 9.94813 10.28414I9.94806 9.94799 9 94793 9,94786 9 9478o 9-94773 9-94767 9.94760/ 9-94753 9.94747 9.94740 9-94734 9‘947£7 9.94720 10.27983 9.94714 10.27952 10.27922 10.27891 10.27860 10.27830 7 6 7 6 7 7 6 7 7 6 7 9-947°7 9.94700 9.94694 9.94687 9.94680I Cof. 10.277999.946741° 10.27769:9.94667;' I 0.2 7738:9.94^2'g 10.27707^9.94654) IO.27677I9.94647!' 10.27646:9.94640^. 10.27 616’9-9^6341° 10,27585:9.94627^ 1 °-2 7555'9-94 620!^ 10.27524:9.94614;° 10.2 749419.9460717 10.27463:9.9460017 10.27433 9-94593I7 Tans 45 44 43 42 41 4° 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 I7, 16 !5 H J3 12 11 Sin. 63 Degree 6 D.^vees. 120 LOGARITHMIC SINES AND TANGENTS. 169.67539 179.67562 189 67586 199.67609 209.67633 219.67656 229.67680 23 9.67703 249.67726 259.67750 28 De Sin. 9.67161 9.67185 9.67208 3I9.67232 4 9 67256 5:9.67280 6:9.67303 719.67327 8,9.6735° 99-67374- x°9.67398 9.6742 r 9-6744^ 13 9.67468 149.67492 159.67515 24 23 24 24 24 2 3 24 23 24 24!: 2 3 !j9.72902 23p-729f 24!i9'729^3 4 9-72993 9.73023 269.67773 279.67796 289.67820 299.67843 309.67866 31 9.67890 329.67913 339.67936 349-67959 359.67982 369.68006 379.68029 389.68052 399.68075 40 9.6809$- D- Tang. D. grees. 19.72567 ;9-72 59^130 9.726281 j 9-72659L0 9-72689!' 9-72720; I9.72750 l9 72780 9.72811 9.72841 19.72872 Cot. 10.27433 10.27402 10.27372 10.27341 10.27311 Col. 9-94593 9.94587 9.9458c 9-94573 9.94567 9-73054 9.73084 9-73I14 9-73144 9-73175 23 24 23 24 23 24 23 24 2 3 23 24 2! 9-7335^ ^9.73386 9.73205 9-73235 9-73265 9-73295 9.73326 41 9.68121 42 9.68144 43 9.68167 449.68190 459.68213 9.73416 9.73446 9.73476 9-73507 9-73537 9r73567 19-73597 9.73627 9-73657 9.73687 9-73717 9-73747 9-7_3777 9.73807 9-73837 9.73867 9.7389 9-73927 9-73957 9.73987 9.74017 : 19-7404730 -i!9-74°77 10.27280I9.94560 9-94553 9-945465 10.27250 10.27220 10.2718919.94540 10.27159 10.27128 [9.945 26 10.270989.945195 10.27068 9.94513 I0.27037;9.94506 10.27007 9.94499 10.26977 9.94492 10.26886 10.26856 10.26825 10.26795 10.26765 10.26735 10.26705 [9.94431 io.26674!9.94424 10.26644 10.26614 10.26584 10.26554 10.26524 10.26493 9-94533 10.26946 9.94485 g 10 26916 9.94479 9.94472 9.94465 9-9445 8 19.94451 6 ,9.94445 9-9443 8 9.9441 9-944105 9.94404 9-94397 9.94390 9-9438 3 10.26463 9.94376 o-26433 9-94369 10.26403I9.94362 10.263739.94355 ^ 63439-94349 10.26313J9.94342 10.26283 9,94335 10.262539.94328 10.26223 10.26193 10.26163 10.26133 10.26103 10.26073 10.26043 10.26013 10,25983 10.25953 10.25923 i9-74I37l2 J1 |9.74i66L?j] 469.68237 47 9.68260 489.68283 499.68305 509.68328 5Ij9-6835I 529.68374 53:9.68397 5419.68420 55:9.68443 569.68466! 57[9.68489! 58.9.68512 J 9.74316 5 ,10.25684 9-94196:.; 599-68534““'9.74345 .^10.25655 9.94l89L 609.68557- 4j9.733t5i 50.25625 9.94182 ' ^ !~Cof; 7 7 7 7 7 7 7 . ,c 2 5 744'9-942ic^ ^9!^ 4,9.742867 90.25 714 9.94203!' 9-74I07L0jI0-25893 0.2 3 5834 23|l: i9-74i90:"o|io.258o4!9.942 24 ,19.74226^10.25774 !i9.742563, iio. 9.94321 9-943 H 9.94307 19.94300 i9-94z93 9.94286 9-94279 |9-94273 ? 9.942661 19.94259 j9-94252 9-94245 863|9-94238 19.94231 9.94217 60 59 58 57 56 55 54 53 52 51 49 48 47 46 45; 44 43 4 4i 40 39 38 37 36 35 34 33 32 31 3° 29 28 27 26 £5 24 23 22 21 20 19 18 i7 16 ^5 M !3 12 11 10 Cot. Tang- Sin. 61 Degrees, I Sin. 0 9-6855 7 1 9.68580 9-68603 23|9.7443 5 29 Degrees. 23; i ans;* 19-74375 19.74405 D. Cot. Cot’. D. 23 9.68625 9.68648 9.68671 69.68694 7 9.68716 9.68739 9.68762 23 9.68784122, 9.74465 9.74494 9.74524 9.68807 9.68829 9.68852 9.68875 li 9-68897 16 9.68920 17 9.68942 189.68965 199.68987 9.69010 9.69032 9.69055 23 9.69077 9I69100 25 9.69122 23 9-74554 9-74583 9.74613 9.74643 9.74673 269.69144 279.69167 28 9.69189 299.69212 309.69234 9.69256 9.69279 9.69301 9.69323 9-69345 37 25 23 22 3 22: 23 22 23 22 19.74998 9-75028 ,29-75o58 ^319.75087 9.75117 22 3l 22 23 22 22 369.69368 9.69390 389.69412 9.69434 9-69456 9.69479 9.69501 69523 9-69545 9.69567 469.69589 9.69611 9.69633 499.69655 509.69677 51 9.69699 529.69721 539.69743 549.69765 559.69787 56;9;698o9 9.69831 9.69853 9.69875 9.69897 19.74702 I9-74732 9-74762 19-74791 i9.74821 9.74851 19.74880 9.74910 9-74939 9.74969 [9.75146 9-7517 9.75205 9.75235 9 75264 9.75294 9-75323 9-75353 9.75382 9-754*i 9.75441 9.75470 9.75500 9.75529 9-75358 9.75588 9.75617 9.75647 9.75676 9.75707 22 22 9-75735 9.75764 9-75793 9.75822 9-75852 9.75881 9.75910 9-75939 9.75969 9.75998 30 30 30 29 30 o 29 30 30 3° 29 30 3 29 3° 3° 29 30 29 3° 29 30 30 20 3o 29 63° 29 30 29 3° 29 30 29 29 30 29 3° 29 29 30 29 30 29 29 3° 29 29 29 3° 29 29 29 30 29 29 10.25625; 10.25595: 10.25565; *0-25535! 10.25506' 10.25476: 10.25446:9.94140 10.25417^9.94133 10.25387I9.941 26 7 Io-25357]9-94I *9 10.25327j9.94112 io.25298i|9.94io5 io.25268j9-94098^ 10.2523819-94090 10.25209! 10.25179 9.94182 9-94*75 9.94168 7 9.94161 9-94*54 9.94147 10.25149: 10.25120! io.2509o’9-94055 9.940837 9.94076 7 9.94069 9.94062 10,25061 10.2503 1 9,94048 9-94°41 9.94034 9.94027 9-94020 g 9.94012 10.25002 10.24972 10.24942 10.24913 10.24883 9^4005 9.93998 9-9399* 9.93984 10.24854 10.24824 10.24795 10.24765 9-93977 10.247369-93970 10.24706 9-93963 10.24677 9-93955 10.24647 10.24618 9-93941 10.24589 9-93934 10.24559 10.24530 10.24500 10.24471 10.24442 10.24412 10.24383 10.24353 10.24324 10.24295 22 9-76°929 9-76056| 9.76086^ [9.761 15 Cof. H 9.76144! Cot. 7 7 7 7 7 7 7 8 7 7 7 7 9-93927 « 9.93920' 9.939*2 9-93905 ,y 9-93898j' 9.93948 9.93891 9.93884 9.93876 9.93869 9.93862 9-93855 9-93847 9.93840 9-93833 9.93826' 10.24265 10.24236, 10.24207 10.24178 10.24148 10.24119’9.93819 10.24090 9.93811 10.24061 9.93804 10.24031 9.937978 10.24002*9.93789^ 10.239739.93782 10.239449.93775' 10.23914:9.93768^ 10.23885 9.93760' 10.23856:9.93753 Tang. | Sin. 60 59 58 57 56 55 54 53 52 5* 5° 49 48 47 46 15 44 43 42 4* 1° 39 38 37 36 35 34 33 32 3* 3° 29 28 27 26 25 24 23 22 21 2C *9 18I 1 16 £5 *4i *3 12 60 Decrees. LOGARITHMIC SINES AND TANGENTS. 30 Degrees. ' j Sin. |DJ Tang. !D. 0i9-69S97!7j9-76l44 H 9-7°353 9-70375 9.70396 9.70418 9 • 7fM39 269.70461 279.70482 2%'70504 299-7°525 32'9-7°547 31 32 33 34 35 9.70568 9.70590 9.7061 j 9-70633 9-70654 369.70675 9.70697 389.70718 9.70739 9.70761 9.70782 9.70803 9.70824 9.70846 9.70867 469.70888 479.70909 48 9.70931 49I9.70952 500.70973 5I|9-7°994 5219*7IOI5 .539.71036 549.71058 55I9-7I079 f69.7iioo 57,9,71121 589.71142 59 9.71163 6o'9.7i 184 Cof. 9.76173 9.76202 9.76231 9.76261 9.76290 9-763*9 9.76348 9-76377 2Q 9.76406!^^ 9-76435 9.76464 9-76493 9.76322 9-7655 9.76580 9.76609 9.76639 9.76668 9.76697 9.76725 22 21 22 21 22 21 22S 21 22 21 22 21 9-76754 9.76783 9.76812 9.7684] 9.76870 9.76899 19.76928 9.76957 9.76986 9-77°_I5 9.77044 9-77073 9.7710] ^9.77130 |9-77I59 19.77188 ]9-772I7 ^ 9-77246 9.77274 9-77303 22: 21 21 22| 21 ’9-77332 , 9.7736i ,-ii9-7739° >774^ 21 29 29 29 29 8 28 9-77447 *9 19.77476 9 9-77505 9-77533 9.77562 9-77595 ■9-7 7619 9.77648 9.77677 9.77706 9-77734 9-77763 9-77791 9.77820 9.77849 9-77577 Cot. Cot. 10.23856 10.23827 IO-2379s:9-93738 D. j Cof. 9-93753 9-937465 xo.2376, IO-23739 IQ.237IO IO.23681 IO.23652 IO.23623 10.2359419.93687 *o. 23565 io-23536 IO-23507 10.23478 IO-23449 10.2342 io-2339i 10.23361 IO-23332 10.23303 10.23275 10.23246 10.23217' 10.23188 IO-23 459 10-2313: 10.23101 10.23072 10.23043 10.23014 10.22985 10.22956 10.22927 10.22899 10.2287c 10.22841 9.93680 7 9-936733 9-93665 9-9365%s 9-9365 9-93643 |9-93636 8 9.93 628) 9.93621 10.228129.93487 10.22783 10.22754 10.22726 10.22697I9.93457 10.22668 9.93450 10.226399.93442 10.2261c 9.93435 9-93427 9.93420 10.22582 IO-22553 10.22524 10.224959 10.22467 10.22438I9 10.22409 10.22381 10.22352 10.2 2 3 23 IO.22294 10.222669 10.22 237 10.222:9 10.22 I 8c 10.2 2151 10.22 1 25 Tang. j9-9373 9-93724 9-9371? 9.93709 9-9370 9-93695 3 7 9-93614 3, 9-936o6 9-93599 g 9-93591 9-93584 9-93577s 9i93559 9-93562 9-93554 7-93547 9-93539 9-93532 9-93525 a 9-93 5l7 9.9351c 9-95502 9-93495 9.934Zol 9-93472 7 9.93465 6 9-93412 93405 9-93397 93390 9-9.3383 19-93375 9-93367 ^ '9-9336o 7 9-9335 93344 9-93337 9-93329 9-933 22 Z 9-933 M 9-94307 7 Sin. 59 -Degr Sin. |D. 09.71184 I9-7I205l2i 29-7I226j2i 39-7I247U. 49-7i268;21 5 9.71289 69.71310 79-7I33r *9-71352 99-7l373 I°9-71393 11 9-7I4I4 129-7I435 I39-7I456 14 9-7I477 15 9-7I498 Tang. 3 t Degrees. 21 169.71519 I79-7I539 189.71560 199.71581 209.71602 21 9.71622' 229.71643 23 9.71664 24 9.71685 35 9-71705 269.71726 27 9-7I747 28 9.71767 29 9.71788 309.71809 31 9.71829 3 - 9-7l85c 33 7-7187c 3^ 9-7i89i 35 9-7I911 369.71932 37 9-7I952 3* 9-7*973 39 9-71994 409.72014 41 9-72034 429-72°55 43 9-72c75 44 9.72096 459-72196 469.72137 479-72I57 4» 9.72177 499.72198 509.72218 5I 9-72238 52.9.72.259 539.72279 549.72299 559.72320 569.72340 579.72360 9-7238i 59b. 72401 6019.72421 9.77877 I9.77906 9-77935 9-77963 9-77992 9.78020 9.78049 9.78077 '9,78106 9-78i3_ 9-78163 9.78192 9.78 220 9.78249 9.78277 9-78306 9.78334 !9-7836 !9-7839 9.78419 9.78448 9.78476 9-78505 9-78533 9.7856: 9.7859c 9.78618 9.78647 9-78675 9.78704 9-7873 9.7876c 9.78789 9.78817 9.78845 9-78874 9.78902 9.78930 9-78959 9.78987 9.79015 9-79043 9.79072 9.79100 9.79128 9.79156 9-79l85 9-792I3 9-7924I 9.79269 9.79297 9.79326 9-79354 9.79382 9.79410 9.79438 9.79466 9-79495 9-79523 9-7955* 19-79579 Cot. D. Cot., Col. ID 10.22123 10.22094 10.22065 10.22037 IQ.22008 IO.21980 9-933078 b-93299!g 19.93291 9-932848 i9-93276 9*932698 9.93261 9-93253 9-932468 10.21951 10.21923 10.21894 10.218659.932383 10.21837 10.21808 10.21780 10.21751 10.21723 10.21 694|0.95I92 g 9.93184 9-93*773 9-93*69 3 9.93161 7 9-93154 10.21666 10.21637 10.21609 10.21581 10.21552 10.21524 10.21495 10*21467 10.2143& 10.2141c 10.21155 10.21126 10.2107 10.21041 10.21015 10.2098; 9-93f_35 9.93 2 23 9-932158 9.93207 9.93 2CO 3 9-93146 3 9-93I38 7 9-93131 g 9-93123 8 9:93i_I, 10.2138219.931083 '■0.21353 9-93IOC 8 10.21325 9 930923 10.21296 9.93084 10.21268 9.93077 g 10.2124c! 9.9306c 3 10.21211] 9.95061 g 10.21183J9.93053 9-93046 s 9-930383 10.2109819.930303 9.9302,2 3 9.93014 9-930C7 3 9.929993 10.20957 9.92991 g 10.20928S9.92983 10.2090CI9.92976 3 10.2087: 9.929683 10.20844 9.9296c 3 10.20815 10.207879.929443 10.20759 9.92936 10.20731 10.20703 Tang. 9.929523 9.92929 £ 9.92921 g 10.20674 9.92913 g 10.20646 9.929053 10.20618 9.92897 g 10.2059c 10.20562 10.20534 9.928893 9.92881 ^ 9.928743 10.20505 9.92866 10.20477 9-92858ig 10.20449 9.928503 10.20421 9.92842 Sin. 60 59 58 57 56 55 54 53 52 51 if 49 48 47 4 45 44, 43 42 40 39 38 37 36 35 34 33 32 31 3° 29 28 27 26 25 2^ 23 22 21 20 19 18 J7 16 TS x4 *3 12 11 10 9 8 7 6 J 4 3 2i I Ci 58 Degrees. Vou XU. Part i. I 21 122 LOGARITHMIC SINES AND TANGENTS, Sin. 9.72421 9.72441 9.72461 39.72482 9.721:02 9.72522 D.| Tang. 32 Degrees. D. 10 69.72542 9.72562 89.72582 99.72602 9.72622 9.72643 9.72663 9.72683 149.72703 I5 9-72723 20 20 20 21 20 20 20 20 20 i 20 20 21 9-79579 9.79607 9-79635 9.79663 9.79691 19-797 !9 169.72743 I7 9-72763 189.72783 199.72803 9.72823 9.72843 9.72863 9.72883 9.72902 9.72922 269.72942 9.72962 9.72982 299.73002 309.73022 Cot. 10.20421 10.20393 9.92842 9.92834 ^ 10.20365 9.92826 28!^ o^..h 9.928i8 9.92810 9.928037 ,njIO-20337 2g|io.20309 2°]io.20281 31 9-73041 329.7306 33 9-73c81 349-73101 35 9-73121 19-79747 i9-79776 19.79804 9-79832 9.79860 9.79888 9.79916 *9-79944 19.79972 I9.8000 19.80028 9.80056 9.80084 9.80112 9.80140 9.80168 9.80195 >•80223 ^ 9.80251 9.80279 28 29 28 28 28 28 28 28 28 28 28 28 28 28 28 28 27 28 10.20253 10.20224 Cof. D, 9-92795 9.92787 10.20196 9.92779 10.20168 9.92771 xo.20140 9.92763 10.201129.92755 10.200849.92747 10.20056; 9.92739 10.200289.92731 10.20000; 9.92723 -69-73I40 379.73160 38 9-73l8 399.73200 409.732x9 20 20 20 20 20 20 *9 20 2 20 20 !9 201 20 20 *9 20 9.80307 9-8°335 9.80363 9.8039' 9.80419 9.80447 9.80474 9.80502 9.80530 9.80558 4x 9-73239 429-73259 439.73278 449.73298 45 9-73318 469-73337 479-73357 489-73377 499-73396 509.73416 51 9-73435 52 9-73455 539-73474 549.73494 i5 9.735X3 569-73533 579-73552 589.73572 59 9-73 591 609.7361 Cof. 9.80586 !9.8o6i4 9.80642 9.80669 ;9.80697 9.80725 9-8o753 9.80781 9.80808 9.80836 10.19972 9.92715 10.i9944; 9.92707 10.1991619.92699 10.19888 9.92691 10.19860I9.92683 10.198329.92675 10.1980519.92667 10.19777 9.92659 10.197499.92651 110.19721I9.92643 IO-I9693 9-92635 xo.1966519.92627 ^ 10.19637 9.926i9g 10.19609I9.92611 10.19581S9.92603 28 28 28 28 28 28 27 28 28 28 28 27 28 28 10-X9553 9-92595 8 XO.1952619.92587 8 10.19498 9.92579 g io.i947c 9.92571 8 10.19445 9.92563 10.19414 9.92555 10.19386 9.92546^ xo-X9358 9-925388 10.19331 9.92530 g 10.19303 9.92522 R 9.80864 9.80892 9.80919 9.80947 9.80975 20 X9 20!i 20 X9 20 i 10.19275 9.92514 g 10.19247 9.92506 g 10.19219 9.92498 g 10.19x92 9.92490 28IO-I9I36 x 0.19108 10.19081 19.81003 9.81030 !)39-8io58 9.81086 |9-8hx3 jQ.81141 ^9-81169 I9.81196 9.81224 9.8x25 Cot. 10.19164 9.92482 9-92473 g 9.924658 9-92457 8 10.19053 9.92449 g 10.19025 9.92441 g 49 48 47 46 ii 44 43 42 41 40 39 38 37 36 35 34 33 32 31 3£ 29 28 27 26 25 24 23 22 21 20 X9 18 x7 16 £5 X4 X3 12 r 1 10 10-18997 9-92433 s 10. T 897019.92425 IO.18942 9.92416 10.1891419.92408 g I0.l8887|9.92400g IO.18859 9.92392 g 10.i883il9,92384 g _ 10.18804 28x0.18776 10.187489.92359 Tang. 9-92376q 9.92367^ Sin. 57 Degrees. 23 9-74°55 249.74074 259-74093 9.73611 19.73630 9-73650 „ 9-73669 49-73689 59-737°8 69.73727 79-73747 89.73766 99-73785 9-738o5 Sin. Tang. 3 3 Degrees. D.! Cot. J9.81252 19I9.81279 j9-8l3 . 9-8x335 9.81362 b-8139° 20 T9 9.73824 29-73843 3 9-73863 49.73882 5 9-73901 I^!9.8i4i8 ^9-8x445 9-8x473 I9.81500 19.81528 9.81556 9-81583 9.81611 9.81638 'Ig.81666 69.73921 79-73940 89.73959 99.73978 9-73997 Ji o. 1874819.923 59 g 27 10.18721 9.92351 8693 9.92343 g 10.1! 10.18665 9-92335 10.186389.923269 10.18610 9.92318 10.18582 9.923iOg xo.i8555 9.92302 10.18527 9.92293 10.18500 9.92285 10.18472:9.92277 19.81693 9.81721 __ 9-8i748!^ 9.81776 2 9.81803 10.18444 10.18417 10.18389 10.18362 xo-■18334119.92235% 269.74113 9.74132 289.74151 9.74170 9-74x89 9.74208 9.74227 39.74246 9.74265 Q.74284 20 9.81968 ’9.81996 9j9.82023 I^9.82051 9.82078 36 9-74303 379.74322 389-7434I 9.74360 9-74379 9.74398 9.74417 9-74436 9-74455 459-74474 9.74017 9.81831 9/74036 ;>.81858 i9;9.8i886 9-8X9X3 28 9.81941 469-74493 479-74512 489-74531 9-74549 9.74568 19 19 19 19 x9 19 19 x9 191 X9 19 i9 x9 19 X9 X9 X9 19 10.18307 10.18279 10.18252 10.18224 10.1816919.92186 9.82106 9.82133 9.82161 9.82188 9.82215 '15.82243 9.82270 9.82298 9.82325 9182352 9.82380 9.82407 J 9-82435 9.82462 9.82489 Cof. D.i 9 8 8 :9.92269 19.92260% 9.92252% 19-92244 9.922 27 g 9.922193 9-92211 9.92202 % 10.1819719.921943 10.18142 10.18114 10.18087 10.18059 10.1803219.921443 10.18004 9.92136 10.179779.92127^ 19-921778 (9.921693 !9-92x6x l9-92i52^ 10.17949 10.17922 10.17894 9.92102 g 10.17867 10.17839 9-74587 9.74606 9-74625 549.74644 559.74662 (9.82517 9.82544 i89'o^57 I9 9-82599 X9 X9 19 569.74681 579.74700 589.74719 599-74737 609.74756 Cof. 9.82626 i9-82653 9.82681 .9.82708 ! 8!9-82735 '9.8276 9-92X198 9.92111 10.17812 10.17785 10.17757 10.17730 9-92094 8 9.92086 9-92077 8 I9-92069 (9.920603 (9.920523 A9-82790 19 9.82817 [9j9.82844 l8!9.8287i I9|9.82899 28 27 27 28 27 27 28 27 27 27 28 10.17620^9.92018 g xo-i7593j9-92oio8 io.i7565’9.92oo2 xo.i7538;9-92993 10.1751119.91985 Cot. 60 59 58 57 56 55 54 53 52 51 53 49 48 47 46 45 44 43 42 41 43 39 38 37 36 35 10.17702 9.92044 10.176759.92035% 10.1764819.92027 10.17483 9.919768 io.i7456|9-9I9689 10.174299.91959% 10.17401 9.91951 XQ-X7374 9-9X9428 10.17347 9.9x934 10.173199.91925% 10.17292 9.91917 10.17265(9.91908% 10.17238(9.9190° n 34 33 32 31 33 29 28 27 26 £5 24 23 22 21 20 19 18 i7 16 £5 14 13 12 11 10 io.i72iO'9.9i89i 3 10.17183*9.91883 10.17156^.91874 10.17129 10.17101 Tang. 9.91866 9.91857 Sin. 56 Degrees. LOGARITHMIC SINES AND TANGENTS, 34 Degrees. i69-75°54 79-75073 i89-75°9i f99-75110 209.75128 219-75147 229-75165 239-75i84 249.75202 jj9-75221 269 75239 2^9-75258 289.75276 299-75294 3£ 9-7 5313 09.74756 19-74775 29.74794 39.74812 49.74831 59 74850 69.74868 79.74887 89.74906 99.74924 109-74943 119.74961 129.74980 139.74999 149.75017 59.75036 Sin. 31 9-7533 ‘ 329-7535° 339.75368 349.75386 359.75405 36 9-75423 879.75441 389.75459 399.75478 429.75496 41 9-755I4 429-75533 43 9-75551 449.75569 439-75587 469.75605 479-75624 489.75642 D.| Tang. iD. 9.83198 ro59-83225 i8 9-83»52 0.83280 i822*3327 io 9-83334 g9.8336i J39.83388 I89-834I5 i9f9-83442 18 9‘q347° IQ 9-83497 ! 8 9-83524 IQ 9-83605 !89-83659 199-83686 tR9-837t3 ! 0||9-83740 ; 39-83768 l8 9.83795 IO 9-83822 119.83849 9.83876 J 8 9-83903 JQ 9-83930 jg 9-83957 jg 9.83984 !9 499-7566o|J8l9.84227 129-75678 T8 9-84254 519.75696 529.75714 539-75733 27 Cot. 10.17101 10.17074 10.17047 10.17020 10.16992 10.16938 .16911 Cof. p. 2-918571s 9.91849 !9.91840,8 |9-9i8329 ,, 9-91823! 10.16965I9.91815 9.91806 9-9I798; 10.16883 9.91789' 10.16856 9.91781 10.16829 9.9x772 8 9 8 9 9 10.168029.91763 g 10.167759.91755 10.16748 9.91746^ 10.167209.91738 10.166939.91729^ 10.16666 9.9i720g 10.16639 9.91712 10.16612 9.91703 g 10.165859.91695 10.16558 9.91686 10.165309.916773 2.10.1650359.91669 4;io-i64769-9i66oo /U0.16449 9.91651 ^110.164229.91643 9.84011 ^i9.8,o,8 i8 9.84065 jg 9-84092 l8 9'84i19 9.84146 j8 9-84173 gjg.84200 T 8-9-84280 IQi9-84307 j 819-84334 54 9*7575 I|j s 9-843^1 j59-75769;TR9-M388 569.75787ljgj9.84415 57 9-75805! s 9-84442 58:9-758235 gi9-844692ii|io.i5531 599-7 584!^ §'9-84496 0„|10-15 5°4| 609.75859, 19.84523 Cof. Cot. 9 io.i6368[;9.9i625g 10.16341 9.91617 10.1631419.91608^ 10.162879.91599^ . 16?,6n n.m coil^ 9 10.16260 10.16232 10.16205 10.16178 10.16151 9-9I59I 9.91582 9-91573 § 9-91565 9-91556 9 9 9-91547 9-9153 8 § 9-915309 9 10.16124 10.16097 10.16070 10.16043 9.915 21 10.16016,9.9151 2g 27;10*16395 9-9l634 27 27 27 27 28 27 27 27 27 27 27 27 27 7 27 27 27 27 27 27 27 27 27 26 27 27 27 27 ^jio.i5585 9-9!372Q oy!10-15558 9-9I363f1 10.1598919-91504 10.159629.91495 IO-I5935 10.1 10.15881 10.15854I9.91460 10.15827 10.15800! IO-I5773 9.91486 59°819-9I477 § 9.91469 9-9I45I 9-9I442 9-9x433 8 10.15746 9.91425 10.15720 9.91416 io-i5693 9.91407 10.15666:9.9139 10.15639 9.913 89 10.15612 9.91381 27' io.i5477 Tang. 9-91354 9-9I345 9-91336 y 'I Sin. 55 89 9 8 9 rees. 1 29.76075 13 9-76093 149.76111 "0:9.84899^ £59-76129 j? 9-84925 21 i69.76i46jg 9.84952^ 179.76164^9.84979^ I89.76182 g 9.85OO6 J89-85033 20 9.76218^9.85059 2I^./„_J„ 229.76253 ^9.85113 27 239.76271 gi9.85i4o> 249.76289 jg 19.85166 9-76307,h9-85I93 ; 25 35 Degrees. Sin, D. Tang. D. 09^5859 j §'9-84523 9.75877 18 9*8455oJ 29*75895 j8 9-84576 3 9-759I3 j g 9-84603 24 49-75931 j g 9-84630 2£ 5 9-75949 j 8 9-8465 7 2^ 69.75967 8 9-8468427 79-7598ji8[9-847'>4 89.76OO3 jg 9.84738 2g 99.76021 ^ 9.84764 ^ 109.76039^9.84791 2' 11 9.76057 09.84818 ■ >84845^ 9.76236 9-76395^ *7 27 269.76324 „ 279.76342 J9.85247 . 289.76360 ^9.85273^ 9-76378 t^9-8530o : 319-76413 L9-85354o6 329.764311%.8538o 339.76448^9.85407 349.76466 g 9.85434 359^484 19.85460 ^9.76501;'[9,854872’ i9-85Ji426 379.765I9 g _ . 389-76537 j j9-8554c 409-7657'18 419,76590 43 9.76625 18 399-76554|j|9.8556725 2 I 26 27 27 459-7664L7f9.857oo2 459-7666o j,9.85727 469.76677 j'[9.85754 26 479.76695 ^9.85780 2V 489.76712 ^9.8580727 499.76730^ 9.85834 J 509.76747 ^9.85860 51 9.76765 j 19.85887 26 529.76782 7;9.859i32 539.76800 t%.8594o 549.76817 j ^9.85967 27 559-76835, J9-85993 L, 26 9.84872 9.85086 27 9.8 5220 27 9.85620 9.85647 9.856742^ 56^9-76852 jg 579.76870 58J9.76887 599-76904 609.76922 9.8602 '[9.860461 io.i5477 9-9I336 10.15450 9.91328, 10.15424 9.91519 IO-I5397 9-9I3i°j I°-I5370 9-913OIi 10.15343^91292 10.15316 10.15262 10.15236 !0.I5155 9.91230, 10.15128 10.15101 10.15075 Cot. £ Coi. D 9-9I283 10.15289I9.91274 9.91266 10.15209I9.91248 10.15182 9.9x239 10.1504S 10.15021 Io-I4994 10.14967 9.91167' 10.14941 9.91158 10.149D 10.14887 10.14860 60 59 58 57, ^6i 55 54 §53 9.91221 9.91212; 9.91203 9.91194 9-91185 9.911*76 9-9ii49; 9-9ii4ij 10-I4^34 9-9II23: I0.I4807|9.9III4j IO.I478C 9.9II05; i0-i4753l9-9i096 10.147279.91087! 032 10.14700I9.91078 10.14673I9.91069 1 o. 14646I9.91060 10.1462c 9.91051 710.14593 9.91042 A0.14566 9.91033 10.14540I9.91023 10.14513 9.91014 10.14486 9.91005 10.1446CS9.90996 10.14433 9.90987 10.144C6I9.90978 10.1438c io.i4353 10.14326 10.14300 10.14273 ■7 9,86100 J l8|9.86.2626 Cof. Cot. 10.14246 10.14220 10.14193 10.14166 10.14140 LO.14113 10.14087 10.14060 10.1403 3 10.14007 9.90969 9.90960 9.90951 9.90942 9-90933 9.90924 9.90915 9.90906 9.90896 9.9088 9.90878 9.90869 9.90860 9.9085 9.90842 10.13980 9.90832 9.90823 9.90814 9.90805 9.90796 ,10.13954 10.13927 10.13900, 10.13874: Tang. 52 51 1? o49 94b 9 9 9 9 9 9 9 9 9 37 36 35 29 9 28 Sin. 54 P^gi I23 0.2 36 Degrees. 119.77112 129-1113 3 9-7 7147 149.7716^ 9.86418 9.86445 9.86471 9.86498 5 9-77181! j ^ I9.86524 769.77199I ;9-8655i 79.77216;^ 9-86577 8 9-77233L7 |9-866o3 ‘fe I9.86683 9.86709 9.86736 9.86762 9.86789 199.7725° 1209-77268 219.77285 229.77302 23 9-773I9 249*77336 2<; 9*77353 bin. 09.76922 19.76939 29.76957 39*76974 49.7699! j9*770°9 69.77026 79*77°43 89.77061 99.77078 io9*77°95 x7 20 9*7737° 279*77387 289*774°5I7 299.77422 ' i^9*77439 I7 319.77456 329*77473 339.77490 349*775°7 Tang 9.86126 9.86153 9.86179 9.86206 9.86232 9.86259 9.86285 9.86312 £ 9.86338 9.86365 9.86392 DJ Cot. 35 ,9*77524 t>; 369*7754MI7 379*77558|^ 389*77575! 39 9* 77592| 409*77609,7 419.77626 42 9*77643 439.77660 449.77677 459.77694 469.77711 479*77728 489.77744 499.77761 509.77778 51 9*77795 529.77812 539.77829 549.77846 559*77862 9.86815 9,86842 9.86868 9.86894 9.86921 9.86947 9.86974 9,87000 9.87027 9*87053 9.87079 9.87106 9.87i32 9.87158 9*87i85 569-77879 579.77896 589*779i3 59 60 IO*I3555 io*i3529 10.13502 1°.; 3476:9.9065 7 10.13449 10.13423 10.13397 10.13370 IO*I3344 10.13317 9.90602 10.13291 9.90592 10.13264 9.90583 10.132389.90574 10.13211 9.90565 10.131859.90555 10.13158 9.90546 10.13132 10.13106 9.90527 lo*I3°79 10.13053 10.13026 10.13000 10.12973 10.12947 9*87211 . 9*87238 25 9.87264 20 9.87290 9.87317 9*87343 9.87369 9.87396 9.87422 9.87448 9*87475 9.87 COl 9*87527 9*87554 9.87580 9*77930Ii5' 9.77946) 1 Cof. 9.87606 9*87 633 9.87659 9.87685 ! 9*87711 Cot. 10.127899.90415 10.12762:9.90405 26 27 26 26 27 26 26 27 26 26 27. 26 26 27 26 26 26 10.12736 10.12710 10.12683 9.90377 Coi 9.90796 9.90787 9.90777 9.90768 10.13874 10.13847 10.13821 io*i3794 10.13768I9.90759 10.13741 9.90750 10.137x5 9.90741 10.13688 9.90731 10.13662 9.90722 IO*I3635j9*9°7I3 10.13608 9.90704 ro. 13 58 2 9.90694 9.90685 9.90676 9.90667 9.90648 9.90639 9.90630 9.90620 9.90611 9*9°537 D.i f° ]59 I58 57 56 55 54 53 52 51 5° 049 9 48 47 ?46 9.905l8 IO.I292I 10.12894 10.12868 10.12842^9.90434 IO.I28l5 9.9O424 9.90509 9.90499 9.9O49O 9.9O48O 9*9°47I ’9.90462 ;9*9°452 9*9°443 10.12657 10.12631 10.12604 10.12578 10.12552 9.90396 9.90386 9.90368 9*9°358 9*9°349 9*9°339 9*9°330 10.12525 10.12499 10.12473 10.12446 10.12420 10.12394 10.12367 10.12341 10.12315 10.12289 Tang. 45 44 43 42 41 4° 39 38 ?P 35 34 33 32 31 335 29 28 27 26 2_5 24 10 10 9.90320 9*9°311 9.90301 9.90292 19.90282 9.90273 I9.90263 '9.90254 9.90244 9*90235 Sin. 10 10 10 10 53 Degrees. 37 Degrees. 21 9.78296 229.78313 239*78329 249.78346 259*78362 269.78379 279*78395 289.78412 299.78428 309.78445 Sin. D. 09.77946 19.77963 29.77980 39.77997 49.78013 59*78030 69.78047 79.78063 89.78080^ 99.78097 09.78113 1 9.78130 9.78147 13 9.78163 149.78180 I59*78i97 169.78213 179.78230 89.78246 99.78263 209.78280 _'£ang* 9.87711 18 319.78461 329.78478 339.78494 349.7851° 359.78527 369.78543 379.78560 389.78576 399.78592 409.78609 419.78625 429.78642 439.78658 449.78674 459.78691 46*9.7870 479.78723 489.78739 499*78756 509.78772 519.78788 529.78805 539.78821 549.78837 559*78853 569.78869 579.78886 589.78902 599.78918 609.78934 Cof. 9*8770 ■9*8 7764 .9.8779c 9.87817 9*87843 .9.87869 9-87895 9.87922 9*87948 zu 2187974 26 9.88000 9.88027 9.88053 9.88079 9.8810 5 9.88131 9.88158 9.88184 9.8821c 9.88236 9.88262 9.88289 1^9*883i5 £i9*8834 16 9.88367 9*88393 9.8842c 9.88446 9.88472 9.88498 9.88524 9*8855° 9*88577 9.88603 ' 9.88629 'P86ij 9.8868 9.88707 9*88733 9*88759 D.; Cot. !i 0.12289 10.12262 ^110.12236 010.12210 10.12183 10.121 Coi'. *7 16 16 !7 16 16 16 !7 16 16 16 9.88786 9.88812 9.8883 9.88864 9.88890 9.88916 9.88942 9.88968 9*88994 19.89020 9.89046 Tr)19*89°73 9*89151 9*89i77 9.89203 9.89229 9.89255 9.89281 Cot. 27 26 26 26 6 27 26 26 26 26 27 26 26 26 26 27 26 26 26 26 26 27 26 26 26 26 26 26 26 27 26 9*9° 23 5 9.90225 9.90216 9.90206 9*9OI97 5719*9° 187 31 9.90178 9.90168 D. 60 10 q’59 9 c8 ioJ 10.121 10.12105 _ 10.12078 9.9 :159 xo.12052 10.1 2026 10.12000 IO.II973 10.1 1947 10.1 1921 10.11895 IO.11869 10.11842 19.90082 9.90072 10.1181619.90063 9.90053 '9*9°°43 10.11790 10.11764 10.117389.90034 10.11711 9.90024 10.11685 9.90014 10 :9*9OI49 9*9°_I39 9*9OI3c 9.90120 9.90111 9.90101 9.90091 lOi •9*89985 9.89976 9.89966 19.89956 ,9*89947 !9*89937 '9.89927 '9.89918 19.89908 19.89898 1C.11345I9.89888 10.113199.89879 10.11580 10.11554 10.11528 10.11502 10.11476 10.11450 10.11423 10.11397 10.113 71 10.11293 10.112679.89859 10.11241 9.89849 9.90005 10.11659 IO.H633I9.89995 10.11607 I9.89869 10.11214 10.11188 10.11162 10.11136 10.11110 26 26 26 2^IO.I 1084 2610.11058 10.11032 9.89840 9.89830 9.89820 9.89810 9.89801 9.89791 9.89781 „ J9-89771 1 o.i 10069.8976 10.10980 10.10954 10.10927 10.10901 9*89752 9.89742 9.89732 9.89722 56 ^55 554 5 5 3 552 ^C: 49 "48 47 46 ]44 ,143 4' 41 4° 39 38 37 10.10875 9.89712 10.10849 9.89702 10.10823 9.89693 10.10797 9.89683 10.1077119.89673 10.10745(9.89663 io.10719 9.89653 Tang. H Sin. ic 10 ^36 35 34 33 32 31 3° 29 28 27 26 25 24 23 22 21 20 J9 18 r7 16 £5 !3 12 52 Degrees. LOGARITHMIC SINES AND TANGENTS. 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J9-90734 i|l9-90759 6 9-90785 9.9081 9.90837 Cot. D. Cot. 10.10719 10.10693 10.10667 10.10641 10.10615 10.10589 10.10563 10.10537 10.1051 x 9-89653 9.89643 9-89633 9.89624 9.89614 9.89604 9.89594 9.89584 _ 9-89574 10.1048519.89564 IO.IO459 10.10433 f 0.10407 10.1038; 10.10355 I0.103 29 10.10303 10.10277 10.10251 10.10225 10.10199 io.ioi 73 10.10147 io.ioi 21 10.10095 10.10069 10.10043 10.10017 10.09991 10.09965 10.09939 10.09914 10.09888 10.09862 10.69836 10.09810 to.09784 10.097 58 10.09732 10.09706 10.09680 10.09654 10.09629 10.09603 9.89223 26 26 ro-°9577 26 IO-°955J 2610-°9525 26ro.o949919.89183 r 0.09473 10.09447 to.09422 10.09396 io.0937oj9.89i32 10.09344,9.89122 10.09318I9.89112 26 10-°9292 9.89101 ■0.092669.8909 10.09241 9-89554 9.89544 9-89534 9.89524 9-895i4 9.89504 Coi. D. ' 60 9.89495 9.89485 9-89475 9.89465 9-89455 9.89445 9-89435 9.89425 9.89415 9.89405 9-89395 9-89385 9-89375 9.89364 9-_89354 9.89344 9-89334 9.89324 9.89314 9.89304 9.89294 9.89284 9.89274 9.89264 9-89254 9.89244 9-89233 9.89213 9-89203 9.89193 j9-89i73 19.89162 '9.89152 '9.89142 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 1C 10 I 10 ro 10 10 10 II io-^ 19.8908 10.0921519.8907 10.09189-9.89060 10.0916319.89050 Tang. | Sin to 10 10 10 10 xo 10 10 10 1C 11 10 xo 10 10 10 10 11 10 10 10 10 10 11 10 10 10 10 51 Degrees. 12 | Sin 09.79887 1 9.79903 29.7991 3 9-79934 49-7995° 5 9-79965 69.79981 79.79996 89.80012 99.80027 09.80043 9.80058 9.80074 3 9.80089 149.8010 5 159.80120 169.80136 179.80151 9.80166 9.80182 9.80197 9.80213 229.80228 23 9.80244 249.80259 259.80274 8 II 16 269.80290 279.80305 289.8032c 299.80336 309.80351 31 9.80366 329.80382 339-80397 349.80412 359.80428 369.80443 , , , 379.80458 9.91791 389.80473 399.80489 409.80504 41 9.80519 429.80534 439-80550 44 9-80565 45 9.8058 46 9-80595 47 9.80610 489.80625 499.80641 -:o9.80656 5 1 9.80671 $2 9.80686 539.80701 54 39 Degrees. D 6|9-9c83726 i619-909<4 r [9-9°94° ig9-9°966 9-90992 9.91018 l9-9I°43 ^9.9! 069 19.91095 “I9.91121 9.9H47 9-9ri72 9.91198 x°; 9-91224 9-9I250 9.91276 r5i r5 T'ang. D. r5 9-9I3°I , j9-91327 16 9-9I353 9-9I379 9.91404 9.91430 9.91456 9.91482 9-9^5°7 9-9I533 9-9I559 9-9i585 9.9161 y-9i63' 6 0.91662 9.91688 xg 9-9I7I3 9-9*739 9.91765 9.91816 9.91842 9.91868 9.91893 9-9I9I9 9-9I945 9.91971 9.91996 16 15 15 15 6 15 *5 |9.9 20 22 °|9.92048 i6|9’92C73 j . 9-92099 1^9.92125 T . 9-92150 .•J9-92I76 -s 9.9220 9.80716 9.92227 55.9-8o731 569.80746 579.80762 589.80777 599.80792 609.80807 Cof. 10.08853' 10.08828 10.08802 10.08776 9.88844 10.08621 9.88834 10.08596 10.08570 ic.08544 10.08518 ^9-92253 ‘SSS 9.9238 V2 Cot. Cot. Cof. DJ 10.09163^.89050 10.09137 10.09111 10.09086 10.0906' 10.09034 10.09008 10.08982 10.08957 .08931 10.08905 9.88948 10.0887919.88937 10.08750 10.08724! 10.08699 10.08673 9.88855 10.08647 19.89040 19.89030 9.89020 9.89009 9-88999 9.889S9 9.88978 9.88968 9.88958 10.08493 10.08467 10.08441 10.08415 9.88751 10.08390 10.08364 .08338 10.0831 2 ic.08287 10.08261 10.0823 10.08209 10.08184 10.08158 10.081 10.08107 9.88626 10.08081 10.08055:9.88605 10.08029 10.08004 10.07978i9.88 573 10.07952 10.07927 10.07901 10.07875 10.07850 10.07824 10.07798 10.07773 10.07747 10.0767; 9.88927 9.88917 9.88906 !9.88896 P‘8886 9.88875 9.88865 9.888 24 9.88813 9.88803 9.88793 9.88782 9.88772 9.88761 9.88741 9.88730 9.8872c 9.88709 19.88699 9.88688 g.H86y8 9.88667 9.88657 9.88647 9.88636 9.8S615 9.88594 9.88563 9,88552 9.88 542 9-88531 9.88521 9.8851c '9.88499 9.88489 9.88478 10.0772119.88468 10.0769619.88457 9.8844- 10.07644|;9.88436 10.07619I19.88425 Tang. Sin. i-r^ k? 46 45 44 43 42 41 4°. 39 38 37 36 35 34 33 32 31 3C 29 28 27 26 25 24 23 22 21 20 *9 18 *7 16 IS *4 *3 12 11 10 50 Degrees. LOGARITHMIC SINES AND TANGENTS. . 40 Degrtes. Sin. 1>. 019.80807 I 9.80822 2I9.80837 39.80852 49.80867 59.80882 69.808.97 -79.8091 89.80927 99.80942 109.80957 H 9.80972 ! 2 9.80987 I39.81CO2 X49.81OI7 x ^9.81032 5[ Tang. I). I9.92381 J9.92407 9-92433 ,9.92458 19.92484 9.925 to1 l5 I5 1 *5 ; 19.9256! Ir|9-925®7 ‘’l().C)26l2 ^^9.92638 9-92535 x j9*92663 ^ 9.92715 l9-9274° 9.92766 , i°47, 1-79.81061 189.81076 99.81091 209.81106 17 9.81121 229-8H36 209.8115! 249.81166 2^9.81180 269-8ll95 279.81210 289-81225 299.81240 409.81254 ;J7 9.8x269 329-81284 339.81299 349-8-3M 35^81328 9.92792 9,92817 9.92843 9.92868 9.92894 9.9292C 9.92945 9.92971 9.92996 9.93022 Cot. | Col. 10.07619,9.8842^ I0-07593|9-884I5 10.0756719.88404 10.075429.88394 10.075169.88383 10.0749CI9.88372 10.07465I9.88362 10.07439I9.8835 T0.07413J9.88340 10.073889.88330 10.07362I9.883J9 10.0733 719.88 308 10.07311S9.88298 10.07285 9.88287 10.07260 10-07234 10.07208 10.07183 10.07157 9.88255 9.88244 _ 9.88234 10.07132 9.88223 10.07106 10.07080 10.07055 10.07029 10.07004 10.06978 9.93048 13 9‘93°73 26 9.93099 9.93124 9-9315o 369.81343 379-8i358 389.81372 399-8i387 4o;9.8i4Q2 9"93175 9.93201 9.93227 i J9.93252 ^9.93278: IV]9.933°3 9.93329 x 19*933 54 /J9-93 3 8c 9.93406 !5 4119.814] . 429.81431 43 9.811446 449.81461 45 9-8147 5 469.81490 479-8i505 [489.81519 1499.8 *534 509.81549 1 ? 519.81563 529.81578 539.81592 549.81607 M *5 I14 J5 1 15^ 9.93431 9-93457 I; 9*93482 49-93508 H 9-93533 I [,9-93584 \9‘9361 ,9.9363 9.93661 39.9368 j9.93712 19-93 73 ^ 9-93763 559.81622 119.93789 r/^rv t! n O ft T T 26 26 ;25 26 25 26 25 26 26 25 26 25 26 25 26 23 26 26 5 26 25 26 25 26 9.88276 9.88266 9.88212 10.069 52 10.06927 10.06901 10.06876 10.06850 9.88201 9.88191 9.88180 9.88169 9.88158 10.06825 10.06799 10.06773 10.0 6748I9.88061 9.88148 9.88137 9.88126 9.88115 9.88105 9.88094 9.88083 9.88072 10.0672219,8805 10.06697 10.06671 10.06646 10.0662c 10.06594 10.06569 10.06543 10.0651819.87964 10.06492 10.06467 10.06441 10.06416 10.06390 569.816361 ^9.93814 579.81651^9,93840 989.81665! 79.93865 599.81680N9.93 89 609.816941 49.9391 Cof. I” Cot.' 2 5 26 2 26 6^ 9.8804 I9.88C 2y '9.88018 9.88007 9.87996 9.87985 9"8 79 7 5 |9.8795; 9-8794 9-8 793! 9.87920 9.87909 60 59 58 57 56 55 54 53 52 51 P 49 48 47 46 45 44 43 42 41 40 39 TO.06364:19.87898 io.o6339|9.87887 37 36 35 34 33 32 31 3° 29 28 27 26 25 24 23 22 21 20 T9 18 x7 16 10.0631 3!!9.87877 16.06288-9.87866 10.062629.87855' 10.06237 9-87844 10.06211 !9.87833 10.06) 86 9.87822 10.061609.87811 10.06135 10.06109 10.06034 Tang. 9.87800 9.87789 9.87778 Sin. 49 Degrees. 10 41 Degrees. Sin. DJ Tang. 9.81694 9.81709 29.81723 3j9.8l738 4,9.8i752 59.81767 ,^9.94044 6,9-81781 79.8! 796 89.81810 019.81825 109.81839 119.81854 29.81868 ^ 9.81882 14I9.8189 15I9.81911 DJ Cot. i ql!9.939l6 i J9-93942 xS-PSP6? i: 9.93993 ^ 9.94018 1619.81926 79.8i940 89-81955 199.81969 2019.81983 2ij9.81998 229.82012 23 9.82026 249.82041 25I9.82055 26-9.82069 7I9.82084 28I9.82098 299.82112 30)9-82126 A5 x4 !5 *5 r4 I4 45 14 15 14 J5 M T4 !5 M I4; 9.94069 9.94095 9.94120 9.94146 9*94I7I 3119.8214 329.82155 33 9.82169 349.82184 35*9.82198 36'9.82212 379.82226 ' 8I9.82240 3919.82255 409.82269 41 9.82283 429.82297 439.82311 449.82326 9.82340 469.82354 4- 9.82368 489.8238 9.82396 9.82410 9.82424 9.82439 9.82453 9.8246 559.8248 10.06084 10.06058' 10.06033 10.06007 10.05982 10.05956 9"94I97 9.94222 9.94248 9.94273 9-94299 9.94324 9.94350 9*94375 9.94401 9.94426 9.94452 9-94477 9.94503 2, 9-945^;^ 9.94554 J5 Hi I4' l4' l5i Mi I A’ 10,05931 IO.O59O5 IO.O5880 IO.O5854 IO.O5829 IO.O5803 Cof. !D. 9.87778ixi 9.87767 9.87756 9.87745 9-87734 11 9.87712 9.87701 9.87690 9.87679 9.87668 9.87^57 10.057789.87646 10.0575219.87635 9.87624 9.87613 10.05727 10.0 5701 10.0 5676I9.87601 10.0565019.87590 10.05625 9.87579 io.o5599 9-87568 10.05574M7557 10.0554819.87546 10.055239.87535 10.05497 9.87524 11 n 11 9-94579 9.94604 9.94630 9.94655 i9.9468i 19.94706 9.94732 9*94757 i9.94783 9.94808 M M M M M M .94834 9.94859 9.94884 9-94910 9-94935 25 26 25 26 25 26 25 26 25 26 25 25 ,6 25 26 25 26 10.05472 10.05446 10.05421 10.05396 10.05370 9.87513 9.87501 12 9.94961 9.94986 9.95012 x ,.9.95037 ^9.95062 19.95088 I49-95IM tT 9-95138 9.95164 9-95I9° 9.95215 2 9.95240 J 9.95266 2 9.95291 9-95317 M M| M I5 M M Ml 5619.82495 57:9.82509 58,9.82523)4 59ll9.82537ii‘+ , 6o;9.8255i| 4 9.95444 TCof. 1 Cot 9.87490 9.87479 9.87468 ^ 10.05345 9.87457 .10.053199.87446 10.0529419.87434 9.87423 9.87412 9.87401 9-87390 9.87378 . . 9.87367 10.0511619.87356 19.05090 10.05065 10.05268 10.05243 10.05217 10^05192 10.05166 10.05141 12 11 9.87345 9'87334 10.050399.87322 10.050149.87311 10.04988 9.87300 10.04963,9.87288 0.0493819-87277 10.04912 9.87266 10.04887 9.87255 10.0486119.87243 10.04836I9.87232 10.0481019.87221 9.95342 9.95368 9.95393 9-9541 10.04785S9.87205 10.0476019.87198 10.047349.87187 10.0470919.87175 10.04683I9.87164 8 2l 26 10.04658S9.87153 10.046329.8714 io.o46o7'9.87130 10.04582I9.87119 10.04556 Tang. 9.8710 Sin. 12 6c 59 58 57 56 55 54 53 52| 51 5° (49 48 47 46 45 43 42 41 40 39 38 37 36 35 34 33 32 31 3^ 29 28 7 26 25 24 23 22 21 20 48 Degrees. LOGARITHMIC SINES AND TANGENTS. 127 42 Degrees. ' 1 Sin. o 9.82551 19.8256 c 29-82579 39-82593 49.82607 59.82621 69.82635 79,82649 8 9.82663 99.82677 109.82691 D. 119.82705 129.82719 39-82733 49.82747 159.82761 169.82775 179.82788 189.82802 99.82816 {4 209.82830^ 219.82844 29.82858 239.82872 249.82885 259.82899 469.83188 4719.83202 48:9.83 2! 5 499.83229 509.83242 269.82913 279.82927 289.82941 299-82955 309.82968 31 9.82982 329.82996 339.8301° 349.83023 359-83037 369.83051 379.83065 389.83078 399.83092 ;40 9.83 106 41 9.83120 429.83133 439-83f47 449.83161 45 9-83 *74 5T|9-83256 520.83270 539.83283 549.83297 55 9-83310 569.83324 579-83338 589-83351 59 60 9-83365 *4 *4 *4 *4 *4 *4 *4 *4 r4 l4 14 f4 Tang. 9-95444 9.95469 ! J9-95495 T19-955 20 9-95545 9-95571 9-95596 9.9 5622 9-95647 9.95672 9.95698 D 9-95723 9-95748 9-95774 9-95799 9-95825 9-95850 9-95875 9.95901 9.95926 9-95952 9-95977 9.96002 9.96028 9-96053 9.96078 9.96104 9.96129 9-96i55 9.96180 9.96205 9.96231 9.96256 9.96281 9.96307 9.96332 9-96357 9-96383 t il9-964o8 r, 9-96433 9.96459 9.96484 9.96510 9-96535 9.96560 9.96586 9.96611 9.96636 9.96662 9.96687 9.96712 9.96738 9,96763 9.96788 9.96814 ,49-9^39 J19.95864 Cot. IO.O4556 IO.O453I IO.O45O5 IO.O4480 9.87073 :9.87o62 9.87050 10.04455 10.04429 10.04404 10.04378 *0.04353 10.0432819.87005 10.04202 9.86993 10.04277 Col. 9.87107 9.87096 ;9-87°85 ‘9-87039 9.87028 '9.87016 9.86982 10.04252 9.86970 10.04226I9.86959 '9.96890 9-969*5 19.96940 0-83378 1‘5 9.96966 Col. Cot. 10.03845 9.86^86 10.03820 9.86775 10.03769 *0.03744 10.03719 9.86728 10.03693 10.03668 9.8670 $ 10.0364319.86694 10.03617 9.86682 10.04201 *o.o4i75 9.86924 9.86913 9.86902 9.86890 10.04048 9.86879 10.04150 10.04125 10.04099 10.04074 10.04023 9.86867 10.0399819.8.685 5 10.03972 *0.03947 10.03922 10.03896 10.03871 9.86947 9.86936 9.86844 9.86832 9.86821 9.86809 9.86798 *0-°3795 9-86763 9.86752 9.86740 9.86717 10.03592 *°-°3567;9-86659 *0-0354*|9-86647 *°-o35*6|9-86635 9.86624 9.86612 9.86600 9.86589 10.03490 10.03465 10.03440 10.03414 10.03389 10.03364 9.86577 9-S6565 *0.033389.86554 *0.033139.86542 10.032889.86530 10.03262 *0.03237 10.03212 10.03186 10.03161 26 IO-°3I3^ 10.031 10 2 10.03085 2g 10.03060 10.03034 9.86413 Tang. 47 Degrees. 9.86670 D. 9.86518 9.86507 9.86495 i9'86483 9.86472 '9.86460 9.86448 9.86436 9.86425 Sin. 60 59 58 57 56 55 54 53 5 2 5* 50 49 48 47 46 45 44 43 42 4* 40 39 38 37 36 35 34 33 32 31 35 29 28 2 7 26 25 24 23 22 21 20 *9 18 *7 16 15 *4 *3 12 43 Degrees. Sin. °9-83378! 19-83392 219-834°5 39-834*9 49-83432 59-83446 69-83459, 79-83473 89.83486 99.83500 *°9-835*3 Dj Tang, Hr-9«S66 ,7 9-9699' I9.97OI6 i9.97042 I9.97067 9-97°92 **9-83527 *29-8354° *39-83554 *49-83567 *59-8358* *69-83594 179.83608 189.83621 *99-83634 209.83648 21 9.83661 229.83674 23 9.83688 249.83701 259-837*5 269.83728 279-8374* 289-83755 299.83768 309.83781 3*9^3795 32 . 339-8382* 349-83834 359.83848 ^ 9-97750 9.83808 9-97776 ^ 9.978 9.97826 9.97851 369.83861 9.97118 9-97*43 9.97168 9-97*93 9-972*9 9.97244 9.97269 9-97295 9.97320 9-97345 9-9737* 9.97396 9.9742* 9-97447 9.97472 25 ~ 25 26 9.97497 9-97523 9-9 7 548 9-97573 9-97598 9.97624 9.97649 9.97674 9.97700 9-97725 379-83874 j2 9-97902 389.83887 ^ 9.97927 399.83901 J 9-97953 4°9-839*4T. 9-97978 419.83927 429.83940 43 9-83954 449.83967 45 9-8398 469.83993 9.84006 37 489.84020 49 50 5* 9-84°33 I2 9.84046 8 9.84059 529.84072 9.84085 9.84098; 9.84112' 53 54 55 569.84125; 9.84138: 9-84*5* 9.84164 9-84*77 Cof. *3 *3 *3 *3 *4 *3 *3 *3 *3 9-97877 9-98o°3 9.98029 9-98o54 9.98079 9.98104 9.98130 9-98i55 9.98180 25 9.98206 9.98231 D.l Cot. 10.02882 9.86342 10.028579.86330 10.02832 9.86318 3 10.02807 9-86306 J *0-02731 10.02705 10.02680 9.982 c6 9.98281 9-983°7 9.98332 9-98357 9.98383 I9.98408 9-98433 I,19-98458 ^9-98484 Cot. *0.03034 10.03009 10.02984 10.02958 *0.02933 10.02908 10.02781 10.02756 9.86283 10.026559.86235 10.02629 9.86223 10.026049.86211 *0-02579 *0.02553 10.02528 10.02503 Col. 9.86413 9.86401 9.86389 9.86377 9.86366 9.86354 9.86295 9.8627 9.86259 9.86247 9.86200 9.86188 9.86176 9.86164 10.0247719.86152 10.0245219.86140 10.02427I9.86128 10.024021I9.86116 10.02376I9.86104 10.02351I9.86092 10.0232619.86080 10.02300I9.86068 10.02275I9.86056 10.02250 9.86044 10.02224 10.02199 10.02174 10.02149 10.02123 9.85984 10.02098 9.85972 2510.02073 9-85960 10.C2047I9.85948 10.02022I9.85936 9.86032 9.86020 9.86008 9.85996 10.019979.85924 10,01971 10.01946 10.01921 10.01896 9.85876 10.01870 10.01845 10.01820 2610.01794 2510.01' 25 10.01744 9.8 5864 9.85851 9-85839 9.85827 769I9.85815 10.017199.85791 \\ 10.01693 10.01668 25UQ.01643 2(*|io.oi6i7 25l*0-°*592 2510.01567 2510.01542 2610.0151 Tang. 9.859*2 9.8590c 9.8 5888 9.85803 9-85779 9.85766 9-85754 9.85742 9.85730 9.85718 9.85706 9.85693 .Sin. 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 1 2 12 12 12 1 2 12 12 12 1 2 12 12 *3 12 12 12 12 12 12 *3 12 12 12 12' 12 60 59 58 57 56 55 54 53 521 5* 5£ 49 48 47 46 45 44 43 42 4* 12 39 38 37 36 35 34 33 32 1 32 29 28 27 26 25 24 3 22 21 20 *9 18 *7 16 £5 *4 *3 12 11 10 9 8 7 6 5 4 3 2 1 o. 46 Degrees. LOGARITHMIC SINES AND TANGENTS. 44 Degrees. Sin. D.| Tang. 09.84177 1 9.84190 29.84203 39.84216 4I9.84229 519.84242 6,9.84255 79 84269 89.84282 9.84295 9.84308 9.84321 9-84334 9-84347 9.84360 9-84373 17 169.84385 D. 13 9.98484 ^j!9-98509 I, 9-98534 4i9-9856o ^ 9 98585 9.98610 9.9863 s 9.98661 I9.98686 19.98711 ;9-98737 9.84398 189.84411 9.84424 9-8443 7 2ii9.84450 229.84463 9.844761 49.84489! 9jH5°2| 25 269.84515 27 26 '9.98762 9.98787 9.98812 9.98838 9.98863 9.98888 i9989I3 9.98939 9.98964 9.98989 10.01516 10.01491 10.0x466 10.01440 10.01415 10.01390 10.01365 !3 9.99015 9.99040 9.99065 9.99090 9.99116 9.84528 9.84540 9-84553 9.84566 Cof. 9 99I4I 9.99166 9 99x91 9.992x7 9.99242 Cot. Cot. Cof. ID. 9-85693 j2 9.856811 9.85669 J2 9.85657 9.85645 9; 8 5 63 2 9.85620 0.01339 9.85608 10.01314 10.01289 10.01263 9.85596 9.85583 9.85571 io.oi238[9 85559 10.012x3 10.ox 188 10.01162 xo.ox 137 10.OX I 12 10.01087 10.01061 10.01036 10.0101 I 10.00985 10.00960 10.00935 10.00910 9.85547 9.85534 9.85522 9.85510 9.85497 9.85485 9-85473 9.85460 9-85448 9.85436 9.85423 9.8541 X i9 85399 54l 53 1000884 9-85386 10.00859 10,00834 10.00809 xo.00783 10,00758 Tang. 9-85374 985361 9 85349 '9 85337 :9j5324 i Sin. 45 Degrees. 44 Degrees. 369-84643 x 9.84566 9.84579 9.84592 84605 84618 9.84630 Stn. D. 13 13 13 13 12 13 9.84656^8 9-84669L, 9-84682! 8 i9 Tang. D. i9 19 9 9.846941; J9 84707 xJ9 9.84720 9-84733 449.84745 45 9.84758 469.84771 47 lS 9.84784 489.84796 9.84809 9.84822 9.84835 9.84847 9.84860 9 84873 984885 9.84898 9 84911 589.84923 599.84936 609.84949 Cof. 19 I3 12 !3 13 12 13 ,99242 .99267 ,99293 .993x8 •99343 •99368 -99394 •994'9 •99444 •99469 99495 99520 99545 99570 •99596 .99621 .99646 .99672 1.99697 99722 99747 Cot. Cof. D, 10.0075819, 10.00733 9 10.00707I9 10.00682S9 10.00657119 10.00632 9 io.oo6o6|9 10.00581S9 10.005 5 6!j9 10.00531 9 xo.oo505j!9 ■99773 .99798 .99823 99848 '•99874 -99899 99924 99949 •99975 .00000 85324 853x2 .85299 .85287 85274 ,85262 .85250 .85237 .85225 .85212 8520c 10.00480! 10.004551 10.00430 10.00404 10.00379 10.00354 10.00328 10.00303; 10.002781 10.00253 10.00227 10.00202 10 00177 ,85187 85175 85162 85150 ■85137 .85125 85112 85100; 30 29 28 27 26 15 24 23 2 21 20 25 25 2510.00152 26 251 J:iO.OOI26 25iio.oco76i]9 25! Cot. 10 00x01 85087I15 410.00051|9 2 1 25: 10,00025 9 — li 10.0000019 Tans. 85074 8 >062 85049 85037 .85024 85012 84999 84986 84974 84961 84949 Sin. 45 Degrees. LOG LOGARITHMIC curve. If on the line AN olh ways indefinitely extended, be taken AC, CL, ;G, GI, IL, on the left hand-, and alfo A g, g P, te on the right, all equal to one another ; and if at ie'points P?, A, C, E, G, I, L, be ereaed to the io-ht line AN, the perpendiculars PS, ^G AL, L1X, lF, GH, IK, LPvI, which let be continually propor- ional, and reprefent numbers, viz. AR, 1 J CD, 10 j -.F, 100, &c. then fiiall we have two progreflions of ines, arithmetical and geometrical : for the lines AC, kE, AG, &c. are in arithmetical progreflion, or as I, ■ 4 ’ 4, r. &c, and fo reprefent the logarithms to which he geometrical lines AB, CD, EF, &c. do correfpond. Ar fince AG is triple of the firft line AC, the number 4H (hall be in the third place from unity, if CD be n the firft : fo likewife (hall LM be in the fifth place, 5nce AL=5 AC. If the extremities of the propor- ionals S, rf, B, D, F, &c. be joined by right lines, be figures SRML will become a polygon, coninung if more or lefs fides, according as there aremiore or lels terms In the progreflion. . , If the parts AC, CE, EG, &c. be bifeaed in the points c, e, g, i, /, and there be again raifed the per- pendiculars, c ef, g h, i kjtn, which are mean pro- portionals between AB, CD, CD, EF, &.c. then there LOG will arife a new feries of proportionals whofe terms, be- Logantb ginning from that which immediately follows unity, are double of thofe in the firft feries, and the difference of the terms is become lefs, and approaches nearei to a ratio of equality than before. Likewife, in this new feries, the right lines, AL, Ac, exprefs the diftances of the terms LM c from unity, viz. fince AL is ten times greater than A c, LM ftiall be the tenth teim or the feries from unity *, and becaufe A manifold and various, are ne- tiinTtheJl"” verthelefs all within our own breads, invifible to o- meansof thers, nor can of themfelves be made appear. But recording God, defigning us for fociety, and to have fellowlhip our own Gf our kind, has provided us with organs thoughts; £Ue(j t0 frarne articulate founds, and given us alfo a capacity of ufing thofe founds as figns of internal con¬ ceptions. Hence fpring wmrds and language : for, having once pitched upon any found to ftand as the mark of an idea in the mind, cuftom by degrees efta- blilhes fuch a connexion between them, that the_ap¬ pearance of the idea in the underftanding always brings to our remembrance the found or name by which it is expreffed j as in like manner the hearing of the found never fails to excite the idea for which it is made to ftand. And thus it is eafy to conceive how’ a man may record his own thoughts, and bring them again into view in any fucceeding period of life. For this connexion being once fettled, as the fame founds will always ferve to excite the fame ideas *, if he can but contrive to regifter his words in the order and difpo- fition in which the prefent train of his thoughts pre¬ fent themfelves to his imagination, it is evident he will be able to recal thefe thoughts at pleafure, and that too in the very manner of their firft appearance. Ac¬ cordingly we find, that the inventions of writing and printing, by enabling us to fix and perpetuate fuch perilhable things as founds, have alio furnilhed us with the means of giving a kind of permanency to the trarsf- adtions of the mind, infomuch that they may be in the fame manner lubjedled to our review as any other ob¬ jects of nature. . 2 II. But befides the ability of recording our own and of the thoughts, there is this farther advantage in the ufe of mutual external figns, that they enable us to communicate ^™uonfl- our thoughts to others, and alfo to receive information knowledge of what paflfes in their breafts. For any number of men, from one having agreed to eftablifti the fame founds as figns of man to the fame ideas, it is apparent, that the repetition ofanolher. thefe founds muft excite the like perceptions in each, and create a perfett correfpondence of thoughts. When, for inftance, any train of ideas fucceed one another in my mind, if the names by which I am wont to exprefs them have been annexed by thofe with whom I converfe to the very fame fet of ideas, nothing is more evident, than that, by repeating thofe names according to the tenor of my prefent concep¬ tions, I {ball raife in their minds the fame courfe of thought as has taken poffeflion of my own. For by barely attending to what paffes within themfelves upon hearing the founds which I repeat, they will al¬ fo become acquainted with the ideas in my under¬ ftanding, and have them in a manner laid before their view'. So that we here clearly perceive how a man may communicate his fentiments, knowledge, and dif- coveries to others, if the language in which he con- verfes be extenfive enough to mark all the ideas and tranfaifions of his mind. But as this is not always the cafe, and men are often obliged to invent terms of their own to exprefs new views and concep¬ tions of things •, it may be alked, how in thefe circum- ftances we can become acquainted with the thoughts of another, when he makes ufe of words, to which we have never annexed any ideas, and that of courle can raife no perceptions in our minds ? In order to un¬ veil this myftery, and give fome little infight into the foundation, growth, and improvement of language, the following obiervations will be found of confiderable mo¬ ment. 3 III. Firft, That no word can be to any man the Simple fign of an idea, till that idea comes to have a real ex- ldei« can* iftence in his mind. For names, being only fo far in- ^ede£°*“ telligible as they denote known internal conceptions ; m\n& where they have none fuch to anfwer them, there by words, they are plainly founds without fignification, and ofor ade- courfe convey no inftruftion or knowledge. But no fcriPtl0I,J fooner are the ideas to which they belong raifed in the underftanding, than, finding it eafy to conneft them with the eftablilhed names, we can join in any agree¬ ment of this kind made by others, and thereby enjoy the R 2 benefit LOG benefit of their diiCoveries. The firit thing therefore to be confidered is, how thefe ideas may be conveyed in¬ to the mind j that being there, we may learn to con¬ nect them with their appropriated founds, and fo be¬ come capableof underftanding others when they make ufe of thefe founds in laying open and communicating their thoughts. Now, to comprehend this diftinflly, it will be necefi'ary to attend to the divifion of our ideas into fimple and complex, (fee Metaphysics). And fir ft, as for our fimple ideas ; they can find no admiffion into the mind, but by the two original fountains of knowledge, fenfation and refledlion. If therefore any of thefe have as yet no being in the un¬ derftanding, it is impoflible by words or a defeription to excite them there. A man who had never felt the fenfation of heat, could not be brought to comprehend that fenfation by any thing we might fay to explain it. If we would really produce the idea in him, it muft be by applying the proper objedt to his fenfes, and bringing him within the influence of a hot body. When this is done, and experience has taught him the perception to which men have annexed the name heat, it then becomes to him the ftgn of that idea, and he thenceforth underftands the meaning of the term, which, before, all the words in this world would not have been fufticient to convey into his mind. The cafe is the fame in refpedl of light and colours. A man born blind, and thereby deprived of the only con¬ veyance for the ideas of this clafs1, can never be brought to underftand the names by which they are exprefled. The reafon is plain : they ftand for ideas that have no exiftence in his mind j and as the organ appropriated to their reception is wanting, all other contrivances are vain, nor can they by any force or defeription be raifed in his imagination. But it is quite otherwife in our complex notions. For thefe being no more than certain combinations of fimple ideas, put toge¬ ther in various forms ; if the original ideas out of which the collections are made have already got admiflion into the underftanding, and the names ferving to ex- prefsthem are known ; it will beeafy, by enumerating the feveral ideas concerned in the compofition, and marking the order and manner in which they are unit¬ ed, to raife any complex conception in the mind. Thus the idea anfwering to the word rainbow may be readily excited in the imagination of another who has never feen the appearance ilfelf, by barely deferibing the figure, largenefs, pofition, and order of colours j if we fuppofe thefe feveral fimple ideas, with, their names, ftfficiently known to him. IV. And this leads to a fecond obfervation upon this fubjeCt, namely. That words Handing for complex ideas are all definable, but thofe by which we denote able; thofe fimpie ideas are not •, for fimple ideas being fecondary hLafnot perceptions, which have no other entrance into the mind than by fenfation or refleftion, can only be got by experience, from the feveral objedfs of nature, pro¬ per to produce thofe perceptions in us. Words indeed may very well ferve to remind us of them, if they have already found admiflion into the underftanding, and their connexion with the eftabliftied names is known j but they can never give them their original being and exiftence there. And hence it is, that when any one aiks the meaning of a w'ord denoting a fimple idea, we pretend, not. to explain it. to him by a definition, The names of complex ideas dt-fin- I C. Part I, well knowing that to be impoflible •, but, fuppofing Of him already acquainted with the idea, and only igno-Perception, rant of the name by which it is called, we either men- v~—> tion it to him by fome other name with which we pre¬ fume he knows its connexion, or appeal to the objeft where the idea itfelf is found. Thus, were any one to alk the meaning of the word white, we ftiould tell him it flood for the fame idea as albus in Latin, or b/anc in French ; or, if we thought him a ftranger to thefe languages, we might appeal to an objeft produ¬ cing the idea, by faying it denoted the colour we ob- ferve in /now or milk. But this is by no means a de¬ finition of the word, exciting a new idea in his under¬ ftanding ; but merely a contrivance to remind him of a known idea, and teach him its connexion with the efta¬ bliftied name. For if the ideas after which he inquires have never yet been raiftd in his mind ; as fuppofe one who had feen no other colours than black and white, Ihould afk the meaning of the word fcavlet; it is eafy to perceive, that it would be no more poflible to make him comprehend it by words, or a definition, than to introduce the fame*perception into the imagination of a man born blind. The only method in this cafe is, to prefent fome objeft, by looking at which the percep¬ tion itfelf may be excited ; and thus he will learn both the name and the idea together. V. But how comes it to pafs that men agree in the £Xper;ence. names of their fimple ideas, feeing they cannot view and obfer- the perceptions in one another’s minds, nor make known vad°n bring theie perceptions by words to others? The effedt is111611^^ produced by experience and obfervation. Thus find- ing, for inftance, that the name of heat is annexed tonamesof that fenfation which men feel when they approach thefvnple fire, I make it alfo the fign of the fenfation excited inlc^eas' me by fuch an approach,, nor have any doubt but it denotes the fame perception in my mind as in theirs. For we are naturally led to imagine, that the fame ob- jedts operate alike upon the organs of the human bo¬ dy, and produce an uniformity of fenlations. No man fancies, that the idea raifed in him by the tafie of fu- gar, and wfoich he calls fweetnefs, differs from that ex¬ cited in another by the like means) or that worm¬ wood, to whofe relifti he has given the epithet bitter, produces in another the fenfation which he denotes by the word fweet. Prefuming therefore upon this con¬ formity of perceptions, when they arife from the fame objeds, we eafily agree as to the names of our fimple ideas : and if at any time, by a more narrow ferutiny into things, new ideas of this clafs come in our way, which we choofe to exprefs by terms of our own inven¬ tion ; thefe names are explained, not by a definition, but by referring to the objeds whence the ideas them- felves may be obtained. g VI. Being in this manner furniftied with fimple The con- ^ ideas, and the names by which they are expnffed j the w)ar|ce meaning of terms that Hand for complex ideas is ea" cl?- fily got, becaufe the ideas themfelves anfwering to fin tjoriS( a thefe terms may be conveyed into the mind by defi • wife contri- nitions. For our complex notions are only certain vance inna- combinations of fimple ideas. When therefore thefeture ’ are enumerated, and the manner in which they are united into one conception explained, nothing more is wanting to raife that conception in the underftand¬ ing ; and thus the term denoting it conus of courfe to be underftood. And here it is worth while to refled a. a.* Parti. L O Of a little upon the wife contrivance of nature, In thus Perception. furni(hing us with the very apteft means of commu- nicating our thoughts. For were it not fo ordered, that we could thus convey our complex ideas from one to another by definitions, it would in many cafes be impoflible to make them known at all. This is apparent in thofe ideas which are the proper work of the mind. For as they exilt only in the underftand- ing, and have no real objefts in nature in conformity to which they are framed ; if we could not make them known by defcription, they mult lie for ever hid with¬ in our own breads, and be confined to the narrow acquaintance of a fingle mind. All the fine icenes that arife from time to time in the poet’s fancy, and by his lively painting give fuch entertainment to his readers, were he deftitute of this faculty of laying them open to the view of others by words and de¬ fcription, could not extend their influence beyond his own imagination, or give joy to any but the original 7 inventor. and of VII. There is this farther advantage in the ability great avail we enjoy of communicating our complex notions by towards the definitions 5 that as thefe make by far the largeft clafs ment°of" of our ideas> and moft frequently °ccur in the progrefs knowledge, and improvement of knowledge, fo they are by thefe means imparted with the greateft readinefs, than which nothing would tend more to the increafe and fpreading of fcience : for a definition is foon perufed ; and if the terms of it are well underftood, the idea itfelf finds an eafy admiflion into the mind. Whereas, in fimple perceptions, where we are referred to the objects producing them, if thefe cannot be come at, as is fometimes the cafe, the names by which they are expreffed mull remain empty founds. But new ideas of this clafs occurring very rarely in the Iciences, they feldom create any great obflru6tion. It is otherwife with our complex notions •, for every ftep we take leading us into new combinations and views of things, it becomes neceflary to explain tbefe to others, before they can be made acquainted with our difcoveries : and as the manner of definitions is eafy, requiring no apparatus but that of words, which are always ready, and at hand 5 hence we can with lefs difficulty re¬ move fuch obftacles as might arife from terms of our own invention, when they are made to Hand for new complex ideas fuggefted to the mind by fome prefent train of thinking. And thus at lafl: we are let into the myftery hinted at in the beginning of this chapter, viz. how we may become acquainted with the thoughts of another, when he makes ufe of words to which we have as yet joined no ideas. The anfwer is obvious from what has been already faid. If the terms denote fimple perceptions, he mull: refer us to thele objefts of nature whence the perceptions themfelves are to be obtained ; but, if they ftand for complex ideas* their meaning may be explained by a definition. Chap. II. Ofi D efinition. I. A Definition is the unfolding of fome conception of the mind, anfwering to the word or term made ufe of as the fign of it. Now as, in exhibiting any idea to ano¬ ther, it is neceflary that the defcription be luch as may excite that precife idea in his mind } hence it is plain that definitions, properly fpeaking, are not arbitrary, but G I C. 133 confined to the reprefenting of certain determinate fettled notions, fuch namely as are annexed by the _erLe|l|°!J. fpeaker or writer to the words he ufes. As never- thelefs it is univerfally allowed that the fignification of words is perfectly voluntary, and not the eflfeft of any natural and neceflary connexion between them and the ideas for which they ftand j fome may perhaps wonder why definitions are not fo too. In order therefore to unravel this difficulty, and ffiow diftinftly what is and what is not arbitrary in fpeech, we muft carefully diftinguifti between the connexion of our words and ideas, and the unfolding of the ideas them¬ felves. 9 II. Firft, as to the connexion of our words and ideas j The con- this, it is plain, is a purely arbitrary inftitution. When,nexion te- BeSnition lined. far inftance, we have in our minds the idea oi any words and particular fpecies of metals, the calling it by the name^eaSj apEr . go/d is an effetft of the voluntary choice of men fpeak- fedtly vo- ing the fame language, and not of any peculiar aptnefs iUnta'_y e~ in that found to exprefs that idea. Other nations we^^1 ‘ find make ufe of different founds, and with the fameir‘ effedft. Thus aurum denotes that idea in Latin, and or in French ; and even the word gold itfelf would have as well ferved to exprefs the idea of that metal which we call fiver, had cuftom in the beginning efta- bliftied it. _ . 10 III. But although we are thus entirely at liberty in The de- conne&ing any idea with any found, yet it is quite [er,Ptlon G/ otherwife in unfolding the ideas themfelves. For every idea having a precife appearance of its own, by which e£j t0 the it is diftinguilhed from every other idea \ it is mani-reprefenta- feft, that in laying it open to others, we muft ftudy non of that fuch a defcription as ffiall exhibit that peculiar ap- pearance. When we have formed to ourfelves the ^hkh th A idea of a figure bounded by four equal fides, joined Hre diftin- together at right angles, we are at liberty to exprefs gmlhed a- that idea by any found, and call it either, a fquare or ^ triangle. But whichever of thele names we ule, fo ‘e1*' long as the idea is the fame, the defcription by'which we would fignify it to another muft be fo too. Let it be called fquare or triangle, it is ftill a figure having four equal fides, and all its angles right ones. Hence we clearly fee what is and what is not arbitrary in the ufe of words. The eftablifhing any found as the mark of fome determinate idea in the mind, is the effe6l of free choice, and a voluntary combination among men : and as different nations make ufe of different founds to denote the fame ideas, hence proceed all that va¬ riety of languages which we meet with in the world. But when a connexion between our ideas and words is once fettled, the unfolding of the idea anfwering to any word, which properly conftitutes a definition, is by no means an arbitrary thing : for here we are bound to exhibit that precife conception which either the ufe of language, or our own particular choice, hath an¬ nexed to the term we ufe. „ IV. And thus it appears, that definitions, confidered CauTesof as deferiptions of ideas in the mind, are fteady and in- the obfeuri- variable, being bounded to the reprefentation of thefe precife ideas. But then, in the application of defitii- tions to particular names, we are altogether left to our the theory- own free choice. Becaufe as the connecting of any of defini- idea with any found is a perfeftly arbitrary inftitu-tl0r,s* tion, the applying the defcription of that idea to that found muft be fo too,. When therefore logicians tell 13s! LOG! C. . . Part I, us tWt tlie defiintiun of tlie name is arbitrary, they Percept or. rnejin no more than this j that as different ideas may w—connect'd with any term, according to the good pleafure of him that ufes it ; in like manner may dif¬ ferent deferiptions be applied to the term, fuitabie to the ideas fo connected. But this connexion being fettled, and the term confidered as the fign of fome fixed idea in the underftanding, we are no longer left to arbitrary explications, but muft ftudy fuch a deferip- tion as cerrefponds with that precife idea. Now this alone, according to what has been before laid down, ought to be accounted a definition. What feems to have occafioned no fmall confufion in this matter, is, that many explanations of words, where no idea is unfolded, but merely the connexion between fome word and idea afferted, have yet been dignified with the name of definitions. Thus, when we fay that a clock is an injlrument by ■which we meafure time ; that is by fome called a definition j and yet it is plain that we are beforehand fuppofed to have an idea of this inftrument, and only taught that the word clock ferves in common language to denote that idea. By this rule all explications of words in our diftionaries will be definitions, nay, the names of even fimple ideas may be thus defined. IV/iite, we may fay, is the co¬ lour we obferve in fnow or milk ; heat the fenfation produced by approaching the fire; and fo in innumera¬ ble other inflances. But thefe, and all others of the like kind, are by no means definitions, exciting ne,w ideas in the underftanding, but merely contrivances to remind us of known ideas, and teach their connexion rj with the eftablifhed names. Complex V. But now in definitions properly fo called, we ideas alone firft confider the term we ufe, as the fign of fome in- c®Pa'’le ot ward conception, either annexed to it by cuftom, or deferipdon our own ^ree c^°ice : an^ then the bufinefs of the de- whieh goes finition is to unfold and explicate that idea. As there¬ by the name fore the whole art lies in giving juft and true copies of a detini- 0f our ideas j a definition is then faid to be made per¬ fect, when it ferves diftin&ly to excite the idea de- feribed in the mind of another, even fuppofing him before wholly unacquainted with it. This point fet¬ tled, let us next inquire what thofe ideas are which are capable of being thus unfolded ? and in the firft place it is evident, that all our fimple ideas are necef- farily excluded. We have feen already that expe¬ rience alone is to be confulted here, infomuch that if either the objedls whence they are derived come not in our way, or the avenues appointed by nature for their reception are wanting, no defeription is fufficient to convey them into the mind. But where the un¬ derftanding is already fupplied with thefe original and primitive conceptions, as they may be united together in an infinity of different forms; fo may all their fe- veral combinations be diftinftly laid open, by enume¬ rating the fimple ideas concerned in the various col- le&ions, and tracing the order and manner in which they are linked one to another. Now thefe combi¬ nations of fimple notices conftitute what we call our complex notions, whence it is evident, that complex ideas, and thofe alone, admit of that kind of deferip¬ tion which goes by the name of a definition. VI. Definitions, then, are pictures or reprefenta- tions of our ideas; and as thefe reprefentations are then only poftible when the ideas themfelves are complex, it is obvious to remark, that definitions Of cannot have place, but where we make ufe of terms Perception, ftanding for fuch complex ideas. But our complex “ ideas being, as we have laid, nothing more than dif¬ ferent combinations of fimple ideas ; we then know and comprehend them perfeftly, when we know the feveral fimple ideas of which they confift, andean fo put them together in our minds as may be neceflary towards the framing of that peculiar connexion which gives every idea its diftinft and proper appearance. j3 VII. Two things are therefore required in every Two thin^ definition : firft, That all the original ideas, out ofreclu|ietlin which the complex one is formed, be diftinftly enu- merated ; and, fecondly, That the order and manner ra!:e t]ie^' of combining them into one conception be clearly ex-ideas and plained. Where a definition has thefe requifites, no-exPla>nthe thing is wanting to its perfeftion ; becaufe every one^annero! who reads it and underftands the terms, feeing at once imuuu!™" what ideas he is to join together, and alio in what manner, can at pleafure form in his own mind the complex conception anfwering to the term defined. Let us, for inftance, fuppofe the word fquare to ftand for that idea by which we reprefent to ourfelves a figure whofe fides fubtend quadrants of a circumfcribed circle. The parts of this idea are the fides bounding the figure. Thefe muft be four in number, and all equal among themfelves, becaufe they are each to fub¬ tend a fourth part of the fame circle. But, befides thefe component parts, we muft alfo take notice of the manner of putting them together, if we would ex¬ hibit the precife idea for which the word fquare here ftands. For four equal right lines, anyhow joined, will not fubtend quadrants of a circumfcribed circle. A figure with this property muft have its fides ftand¬ ing alfo at right angles. Taking in therefore this laft confideration refpefting the manner of combining the parts, the idea is fully deferibed, and the definition thereby rendered complete. For a figure bounded by four equal fides, joined together at right angles, has the property required ; and is moreover the only right- lined figure to which that property belongs. VIII. It will now be obvious to every one, in whatHow^c manner we ought to proceed, in order to arrive at juft are to pro- and adequate definitions. Firft, We are to take an cfe^ t0,ar* exadf view of the idea to be deferibed, trace it to its!^,} ade original principles, and mark the feveral fimple per-qUate {jeg, ceptions that enter into the compofition of it. Second-nitions. ly, We are to confider the particular manner in which thefe elementary ideas are combined, in order to the forming of that precife conception for which the term we make ufe of ftands. When this is done, and the idea wholly unravelled, we have nothing more to do than fairly tranferibe the appearance it makes to our own minds. Such a defeription, by diftinftly exhibit¬ ing the order and number of our primitive conceptions, cannot fail to excite at the fame time in the mind of every one that reads it, the complex idea refulting from them ; and therefore attains the true and proper end of a definition. Chap. III. Of the Compofuion and Refolutions of our Ideas, and the Rules of Definition thence arifing. I. The rule laid down in the foregoing chapter is general, extending to all poftible cafes ; and is indeed that Part L LOG Of that to which alone we can have recourfe, where any perception, doubt or difficulty arifes. It is not, however, neceffary 'r~~J that we ffiould praftife it in every particular inftance. [n corn- Many of our ideas are extremely complicated, info¬ pounding much that to enumerate all the fimple perceptions out [nir ideas, 0f which they are formed, would be a very trouble- K-e proceed pome ancj tedious work. For this reafon logicians five3 rada-'have eftablifhed certain compendious rules of defining, t'ion.8 of which it may not be amifs here to give fome ac¬ count. But in order to the better underitanding of what follows, it will be necelfary to obferve, that there is a certain gradation in the compofition of our ideas. The mind of man is very limited in its views, and cannot take in a great number of objefts at once. We are therefore fain to proceed by fteps, and make our firft advances fubfervient to thofe which follow. Thus, in forming our complex notions, we begin at firft with but a few fimple ideas, fuch as we can ma¬ nage with eafe, and unite them together into one con¬ ception. When we are provided with a fufficient ftock of thefe, and have by habit and ufe rendered them familiar to our minds, they become the compo¬ nent parts of other ideas ftill more complicated, and form what we may call a fecond order of compound notions. This procefs, as is evident, may be continued to any degree of compofition we pleafe, mounting from one ftage to another, and enlarging the number of com- ,6 binations. Hence ideas II. But now' in a feries of this kind, whoever would of this clifs acquaint himfelf perfe£lly with the laft and higheft ^cT- order of ideas, finds it much the moft expedient me- whenlve ’ thod to proceed gradually through all the interme- advance diate fteps. For, were he to take any very compound gradually idea to pieces, and, without regard to the feveral through all daffes Qf fimple perceptions that have already been irL sVera f°rniecI into diftindt combinations, break it at once in¬ to its original principles, the number would be fo great as perfeftly to confound the imagination, and over¬ come the utmoft reach and capacity of the mind. When we fee a prodigious multitude of men jumbled together in crowds, without order or any regular pofi- tion, we find it impoffible to arrive at an exa6t know¬ ledge of their number. But if they are formed into feparate battalions, and fo ftationed as to fall within the leifure furvey of the eye \ by viewing them fuccef- fively and in order, we come to an eafy and certain de¬ termination. It is the fame in our complex ideas. When the original perceptions, out of which they are framed, are very numerous, it is not enough that we take a view of them in loofe and fcattered bodies 5 we muft form them into diftindft claffes, and unite thefe claffes in a juft and orderly manner, before we can ar¬ rive at a true knowledge of the compound notices re- lulting from them. III. This gradual progrefs of the mind to its com- tions Ihould pound notions, through a variety of intermediate fteps, keep pace plainly points out the manner of conducing the defi- ideas °and n‘t‘ons ^y which thefe notions are conveyed into the obferve a minds of others. For as the feries begins with fimple like grada- and eafy combinations, and advances through a fuc- ceffion of different orders, rifing one above another in the degree of compofition, it is evident, that, in a train of definitions expreffing thefe ideas, a like gradation is to be obferved. Thus the complex ideas of the low-eft order can no otherwife be deferibed than by J7 Our defini¬ tion. 1 C. _ _ . i.S5 enumerating the fimple ideas out of which they are °f made, and explaining the manner of their union. But fercel:iUon,i then in the fecond, or any other fucceeding order, as ' v they are formed out of thofe gradual combinations, and conftitute the inferior claffes, it is not neceffary, in de- feribing them, to mention one by one all the fimple ideas of which they confift. They may be more diftindl- ly and briefly unfolded, by enumerating the compound ideas of a lower order, from whofe union they refult, and which are all fuppofed to be already known in con- fequence of previous definitions. Here then it is that the logical method of defining takes place j which, that it may be the better underftood, wre ftiall explain fome- what more particularly the feveral fteps and gradations of the mind in compounding its ideas, and thence de¬ duce that peculiar form of a definition which logicians have thought fit to eftablifh. iS IV. All the ideas we receive from the feveral ob- fteps je&s of nature that furround us, reprefent diftinff in- dividuals. Thefe individuals, when compared toge- procee(is ther, are found in certain particulars to referable each from parti- other. Hence, by collecting the refembling particulars cular to ge- into one conception, we form the notion of a fpecies. neral iu-as» And here let it be obferved, that this laft idea is lefs complicated than that by which we reprefent any of the particular objeCts contained under it. For the idea of the fpecies excludes the peculiarities of the feveral individuals, and retains only fuch properties as are common to them all. Again, By cofiaparing feveral fpecies together, and obferving their refemblance, we form the idea of a genus ; where, in the fame manner ♦ as before, the eompolition is leffened, beeaufe we leave out what is peculiar to the feveral fpecies com¬ pared, and retain only the particulars wherein they agree. It is eafy to conceive the mind proceeding thus from one ftep to another, and advancing through its feveral claffes of general notions, until at laft it comes to the higheft genus of all, denoted by the word being, where the bare idea of exiftence is only con¬ cerned. V. In this procedure we fee the mind unravelling a The con- complex idea, and tracing it in the aleending fcale,diuft of the from greater or lefs degrees of compofition, until it n‘lr,d 111 . . . r 1 .• rr . i compound- termmates in one umple perception, it now we takejn^jls the feries the contrary way, and, beginning with the Kieas, as it laft or higheft genus, carry our view downwards, advances through all the inferior genera and fpecies, quite to thnnigh the individuals, w'e fhall thereby arrive at a diftinft ^ apprehenfion of the conduct of the underftanding in 0f peicey- compounding its ideas. For, in the feveral claffts oft on. our perceptions, the higheft in the fcale is for the moft part made up of but a few fimple ideas, fuch as the mind can take in and furvey with eafe. This firft general notion, when branched out into the different fubdivifions contained under it, has in every one of them fomething peculiar, by which they are diftin- guiffied among themfelves j infomuch that, in de¬ fending from the genus to the fpecies, we always fuperadd fome new idea, and thereby increafe the degree of compofition. Thus the idea denoted by the word figure is of a very general nature, and compo- fed of but few fimple perceptions, as implying no more than fpace everywhere bounded. But if we defeend farther, and confider the boundaries of this ^pace, as that they may be either lines or furface, we fall 136 LOG Of fall Into the feveral fpecies of figure. For where the Perception. ppace js bounded by one or morofurfaces, we give it the name of a folidfigure; but where the boundaries are ao lines, it is called a plain figure {k). The idea of \rI. In this view of things it is evident, that the the fpecies {pec}es js formed by fuperadding a new idea to the taper ad- genus. Here, for inftance, the genus is circumfcrib- dmg the ed fpace. If now to this we fuperadd the idea of a fpecific dif- circumfcription by lines, we frame the notion of that lerence to fpecies 0f figures which are called plain ; but if we i e genus. concejve ^jie circumfcription to be by furfaces, we I C. Part I. have the fpecies of folid figures. This fuperadded Of idea is called the fipecfic difference, not only as it ferves f’ercePt>on* to divide the fpecies from the genus, but becaufe,' v“— being different in all the feveral fubdivifions, we there¬ by alio diftinguifh the fpecies one from another. And as it is likewife that conception, which, by being joined to the general idea, completes the notion of the fpecies : hence it is plain, that the genus and fpe¬ cific difference are to be confidered as the proper and conllituent parts of the fpecies. If we trace the pro- grefs of the mind ilill farther, and obferve it advancing through (a) This account of the compofition and refolution of our ideas is agreeable to the common dodtrine of lo¬ gicians on the fubjeft. Into the truth of the doddrine itfelf we (hall inquire afterwards under the article Metaphysics: but to prevent miftakes, it may be proper to obferve here, that though every writer of logic has treated largely of general and fipecific ideas, there is in reality nothing general in the matter but the terms of language. When we utter, for inftance, the word triangle, that general term does not, as has been often faid, fuggeft to the mind the general idea of a triangle, which is neither oblique nor rettang/e, neither equilateral nor fcalenon, &c. for fiuch a triangle, as it cannot exifi in nature, cannot be conceived m idea. In like manner, the general term Virtue does not excite a general idea of virtue, which is neither prudence, nor temperance, nor fortitude, nor jufiice, nor charity, &c. for that which is difiinSl from all thefie is not virtue. What then is the import of fuch general terms $ The anfwer is obvious: they denote of objedls; and are never ufed w ithout fome word of limitation, but when fomething has no dependence upon the particular qualities, which diftinguirti the individuals from each other, is affirmed or denied of the whole clafs. Thus we may affirm, that the three angles of a plain triangle are equal to two right angles : and this proportion is demonftrably true, not of a triangle, which is neither oblique nor reflangle, neither equilateral nor fcalenon, for fuch a triangle never was conceived j but oi allthefe triangles equally, as the truth of the propofition and the progrefs of the demonftration has no dependence upon the peculiarities which difiinguifh thefe triangles from one another. Again, When we fay that a man of virtue will be rewarded by God, we do not mean by the wrord virtue a general idea making part of each of the complex and more particular ideas of prudence, fortitude, jofiice, &c. and at the fame time dif¬ ferent from them all $ but wre affirm, that the man who pradlifes any or all of thefe virtues, according as he has opportunity, will be rewarded by God. The hiftory of our ideas is fliortly thus :—That aft of the mind, if it may be called an aB, which makes known an external objeB, is termed perception. That aft of the mind which makes know n an internal ob- jeB, is termed consciousness. Objefts once perceived may be recalled to the mind by the power of me¬ mory ; and when they are fo recalled, wre have a perception of them in all refpefts fimilar to the original per¬ ception, only lefs diftinft •, we fancy ourfelves in the fame place, and the objeB perceived attended by the fame circumfances. Thi'imfaft.m&.fecondaryperception ot an objeft is termed an IDEA*, and therefore the precife and accurate definition of an idea, in contradiftin&ion to an original perception, is “ that perception of a real ob- ie£t which is raifed in the mind by the power of memory.” Now all our original perceptions being of par¬ ticular objeBs, it is obvious that our ideas, which are only thofe perceptions recalled, muft be of particular ob- jeBs likewife, and that no man can have an idea of a thing of which the real exifience is contradictory and im- poffible. But the general and fpecific ideas of logicians, are ideas of nothing which exifs, or which can pofibhy cxif. They are acquired, we are told, by abfiraBion, in the following manner. Among a number of indivi¬ duals we perceive certain qualities the fame in all, whilft in each individual there are other qualities which have nothing fimilar to them in any other individual: now the mind, it is faid, has a power of abftrtffting the particular qualities of each individual from thofe which are common to the whole, and of thefe laft forming a general idea of the whole clafs. Thus all men have nearly the fame form; and they have each fomefature and fame colour, though there are not perhaps two individuals who have precife/y the fame fature and the fame colour. Nowr, fay the advocates for general ideas, if we abfiraB what is peculiar to each individual, and retain what is common to the whole race, we have the general idea fignified by the word man. That is, if we conceive a being in human ihape, which is of fature and colour, but neither tall nor Jhort, neither white nor black, nor red nor broivn, nor any other colour which we ever faw, we have the general idea of humanity, and underftand the mean¬ ing of the word man ! Surely no perfon who is not the flave of prejudice w ill pretend that he can frame fuch an idea as this—the idea of an objeft which cannot poffibly exift in nature. By this we do not mean to affirm, that we cannot frame ideas of fuch objeCls as have no rffl/exiftence *, for it is as eafy to imagine a man with ten headsns with one, becaufe there is nothing contradictory between ten heads and one body. But y%//re, which is faid to be fpace bounded neither by lines nor fvperfcies ; colour, w hich is nei¬ ther red nor white, nor blue nor black, &c. ; and animal, which is neither man, beafi, bird, nor infeB; are im- poffible in nature, and inconceivable in idea. There is, however, no harm in ftill retaining the fixate general idea, provided he who ufes it takes care to let it he known, that by thefe words he means not any abflraB and oontradiBcry idea, but merely a c/afs of real objeBs. The phrafe may at times prevent much circumlocution } for which reafon we have retained the ufe of it in the text. the neareft genus. Part I. L O Of through the inferior fpecies, we (hall find its manner Perception. nf proceeding to be always the'fame. For every lower * fpecies is formed by fuperadding fome new idea to the fpecies next above it j infomuch that in this defend¬ ing fcale of our perceptions, the underftanding paffes through different orders of complex notions, which become more and more complicated at every ftep it takes. Let us refume here, for inftance, the fpecies of plain figures. They imply no more than fpace bounded by lines. But if we take in an additional confideration of the nature of thefe lines, as whether they are rig/it or curves, we fall into the fubdivifions of plain figure, diflinguifiied by the names of re&ilinear, curvilinear, 2f and mixtihnear. And in all VII. And here we are to obferve, that though the inferior plain figures, when confidered as one of thofe branches fpecies by come uncler the notions of figure in general, take (tinhe t^ie name a fpecies j yet compared with the claffes fpecific dif- °f curvilinear, re&ilinear, and mixtilinear, into which ference to they themfelves may be divided, they really become a genus, of which the before-mentioned fubdivifions conftitute the feveral fpecies. Thefe fpecies, in the fame manner as in the cafe of plane and folid figures, confift of the genus and fpecific difference as their conftituent parts. For in the curvilinear kind, the curvity of the lines bounding the figure makes what is called the Specific difference; to which if we join the genus, which here is a plain figure or fpace circum- fcribed by lines, we have all that is neceffary towards completing the notion of this fpecies. We are only to take notice, that this laff fubdivifion, having two genera above it, viz. plain figure, and figure in gene¬ ral j the genus joined with the fpecific difference, in order to conffitute the fpecies of curvilinears, is that which lies nearell to the faid fpecies. It is the no¬ tion of plain figure, and not of figure in general, that, joined with the idea of curvity, makes up the complex conception of curve-lined figures. For in this de- fcending fcale of our ideas, figure in general, plain figures, curve-lined figures, the two firft are confider¬ ed as genera in refpe& of the third ; and the fecond in order, or that which Hands next to the third, is called the neareji genus. But now as it is this fecond idea, which, joined with the notion of curvity, forms the fpecies «f curve-lined figures j it is plain, that the third or laft idea in the feries is made up of the near- eft genus and fpecific difference. This rule holds in¬ variably, however far the feries is continued j becaufe, in a train of ideas thus fucceeding one another, all that precede the laft are confidered as fo many genera in refpe& of that laft j and the laft itfelf is always formed by fuperadding the fpecific difference to the 12 genus next it. The idea of VIII. Here then we have an univerfal defcription, any mdivi- applicable to all our ideas of whatever kind, from the ^ofeluf"’ genus t0 th® lowed fpecies. For, taking them the^oweft in order ercePt‘on,i other of the fame kind. And hence it is, that in this J " laft cafe, logicians choofe to call the fuperadded idea by the name of the numerical difference; infomuch that, as the idea of a fpecies is made up of the neareft genus and fpecific difference, fo the idea of an indivi¬ dual confifts of the loweft fpecies and numeric differ¬ ence. Thus the circle is a fpecies of curve-lined fi¬ gures, and what we call the lowejlfpecies, as compre¬ hending under it only individuals. Circles in parti¬ cular are diltinguilhed from one another by the length and pofition of their diameters. The length therefore and pofition of the diameter of a circle form what logi¬ cians call the numerical difference ; becaufe, thefe being given, the circle itfelf may be defcribed, and an indi¬ vidual thereby conftituted. ^ IX. Thus the mind, in compounding its ideas, be- Definitions gins, we fee, •with the moft general notions, which,10 fol!ow confifting of but a few fimple notices, are eafily com-one anot^er bined and brought together into one conception. an/p^ Thence it proceeds to the fpecies comprehended under through the this general idea $ and thefe are formed by joining lame tuc- together the genus and fpecific difference. And as it ^eflive Rra- often happens, that thefe fpecies may be ftill farther pu^om-3 fubdivided, and run on in a long feries of continued poundideas. gradations, producing various orders of compound perceptions •, fo all thefe feveral orders are regularly and fucceflxvely formed by annexing in every ftep the fpecific difference to the neareft genus. When by this method of procedure we are come to the loweft or¬ der of all, by joining the fpecies and numeric differ¬ ence, we frame the ideas of individuals. And here the feries neceffarily terminates, becaufe it is impof- fible any farther to bound or limit cur conceptions. This view of the compofition of our ideas, reprefent- ing their conftituent parts in every ftep of the pro- greflion, naturally points out the true and genuine form of a definition. For as definitions are no more than defcriptions of the ideas for which the terms de¬ fined fland : and as ideas are then defcribed, when we enumerate diftin&ly and in order the parts of which they confift j it is plain, that by making our definitions follow one another according to the natural train of ouFconceptions, they will be fubjeft to the fame rules, and keep pace with the ideas they de- fcribe. 24 X. As therefore the firft order of our compoundT1,e form. notions, or the ideas that conftitute the higheft ge-°.f a nera in the different fcales of perception, are formed by the"various uniting together a certain number of fimple notices ; orders of fo the terms ex prefling thefe genera are defined ^conception. enumerating the fmple notices fo combined. And as the fpecies comprehended under any genus, or the com¬ plex ideas of the fecond order, arife from fuperadding the fpecific difference to the faid general idea ; fo the definition of the names of the fpecies is abfolved, in a detail of the ideas of the fpecifie difference, conne&ed with the term of the genus. For the genus having been before defined, the term by which it is expref- fed ftands for a known idea, and may therefore be introduced into all fubfequent definitions, in the fame manner as the names of fimple perceptions. It will now be fufficiently obvious, that the definitions of all the fucceeding orders of compound notions will every- S where i38 L O Of where confift of the term of the neared genu?, joined Judgment, an enumeration of the ideas that conftitute the fpecific difference j and that the definition of indivi¬ duals unites the name of the loweft fpecies with the terms by which we exprefs the ideas of the numeric difference. G I c. Part II. XL Here then we have the true and proper form Of of a definition, in all the various orders of conception. Judgment. This is that method of defining which is commonly J called logical, and wrhich we fee is perfect in its kind, in- afmuch as it prefents a full and adequate defcription or the idea for which the term defined Hands. PART II. OF JUDGMENT. Chap. I. Of the Grounds of Human Judgment. Intu tion THE mind being furnilhed with ideas, its next ftep refpecfls the Jn the way to knowledge is, the comparing thefe ideas relations together, in order to judge of their agreement or dif- agreement. In this joint view of our ideas, if the re- wheTthey lation is fuch as to be immediately difcoverable by the are imme- bare infpeftion of the mind, the judgments thence ob- diately per- tained are called intuitive, from a word that denotes to cexvable. ^ ^ for Jn this cafe, a mere attention to the ideas compared fuffiees to let us fee how far they ajre con¬ nected or disjointed. rl hus, that the Whole is greater than any of its Parts, is an intuitive judgment j no¬ thing more being required to convince us of its truth, than an attention to the ideas of vshole part. And this too is the reafon why we call the a£t of the mind forming thefe judgments intuition ; as it is indeed no more than an immediate perception of the agreement g or difagreement of any two ideas. Experience IL But here it is to be obferved, that our know- aod tefti- ledge of this kind refpefts only our ideas, and the re- mony the Jations between them •, and therefore can ferve only ?Tnd of as a foundation to fuch reafonings as. are employed in to fads.' inveftigating thofe relations. Now it fo happens, that many of our judgments are converfant aoout fafts, and the real exiffence of things which cannot be traced by the bare contemplation of our ideas. It does not follow, becaufe I have the idea of a circle in my mind, that therefore a figure anfwering to that idea has a real exiftence in nature. I can form to myielf the notion of a centaur or golden mountain, but never imagine on that account that either of them exifts. What then are the grounds of our judgment in rela¬ tion to fa£!s ? experience and tefimony. By experience we are informed of the exiftence of the feveral ob¬ jects which furround us, and operate upon our fenfes. Teftimony is of a wider extent, and reaches not on¬ ly to objeifts beyond the prefent fphere of our obfer- vation, but alfo to fadts and tranfadlions,. which being now pad, and having no longer any exiftence, could not without this conveyance have fallen under our cog- 2- nizance. Three foun- III. Here we have three foundations of human dations of judgment, from which the whole fyftem of our know'- hOman ledge may with eafe and advantage be derived. Firft, v^rTn- Intuition, which refpedis our ideas themfelves, and tuition, the their relations-, and is the foundation of that fpecies ground of of reafoning which we call demonf ration. For what- fcientifipl ever is deduced from our intuitive perceptions, by a knowledge. cleaJ. and conne&ed feries of proofs, is faid to be demonftrated, and produces abfolute certainty in the mind. Hence the knowledge obtained in this man¬ ner is what we properly tzrmfcience ; becaufe in every ftep of the procedure it carries its own evidence along with it, and leaves no room for doubt or hefitation. And what is highly worthy of notice as the truths of this clafs exprefs the relations between our ideas, and the fame relations muft ever and invariably fublift between the fame ideas, cur deduftions in the way of feience conftitute what we call eternal, necejfary, and immutable truths. If it be true that the whole is equal to all its parts, it muft be fo unchangeably ; becaufe the relation of equality being attached to the ideas themfelves, muft ever intervene where the fame ideas are compared. Of this nature are all the truths of natu¬ ral religion, morality, and mathematics, and in general whatever may be gathered from the bare view and con- fideration of our ideas. _ a8 IV. The fecond ground of human judgment is ex- 2. Experi- perience; from which we infer the exiftence of thofe eBCe» objefts that furround us, and fall under the immediate notice of our fenfes. When we fee the fun, or call jetige 0f our eyes towards a building, we not only have per-the powers cepticns of thefe objefts within ourfelves, but aferibe and quah- to them a real exiftence out of the mind. It is alfo ^•ees3>° by the information of the fenfes that we judge of the qualities of bodies j as when we fay thaty« fitions. To give an inftance of a conditional ; if a fione is expofed to the rays of the fun, it will contraB fame degree of heat. Here w'e have but one fubjedl and one predicate •, for the complex expreffion, A fione expofed to the rays of the fun, conftitutes the pro¬ per fubjedt of this propofition, and is no more than one determined idea. The lame thing happens in caufals. Rehoboam was unhappy becaufe he followed evil counfel. There is here an appearance of two propo¬ fitions arifing from the complexity of the expreffion •, but when we come to confider the matter more near¬ ly, it is evident that we have but a fingle fubjedt and predicate. The purfuit of evil counfel brought mifery upon Rehoboam. It is not enough, therefore, to render a propofition compound, that the fubjedt and predicate are complex notions, requiring fometimes a whole fen- tence to exprefs them : for in this cafe the comparifon is ftill confined to two ideas, and conftitutes what we call a fimple judgment. But where there are feveral fubjedts or predicates, or both, as the affirmation or negation may be alike extended to them all, the pro¬ pofition expreffing fuch a judgment is truly a colledtion of as many fimple ones as there are different ideas com¬ pared. Confining ourfelves, therefore, to this more ftridt and juft notion of compound propofitions, they are all reducible to two kinds, viz. copulatives and dif- JunBives. 47 HI. h. copulative propofition is, where the fubjedls Compound and predicates are fo linked together, that they may P_roP°fi- be all feverally affirmed or denied one of another. Of^opuia^ive^ this nature are the examples of compound propofitions given above. Riches and honours are apt to elate the mind, and increafe the numbers of our defires. Neither kings nor people are exempt from death. In the firft of thefe the two predicates may be affirmed feverally of each fubjedl, whence we have four diftindl propofitions. The other furnilhes an example of the negative kind, where the fame predicate, being disjoined from both fubjedls, may be alfo denied of them in feparate propo¬ fitions. 48 IV. The other fpecies of compound propofitions are or Chsjunc" thofe called disjunctives j in which, comparing feveraltlve’ predicates with the fame fubjedt, we affirm that one of them neceffarily belongs to it, but leave the parti¬ cular predicate undetermined. If any one, for example, fays, This world either exifts of ifelfi or is the work of fame all-wife and powerful caufe, it is evident that one of the two predicates muft belong to the world j but as the propofition determines not which, it is therefore of the kind w’e call dijunBive. Such too are the fol¬ lowing : The fun either moves round the earth, or is the centre about which the earth revolves. Friendjhip finds men equal, or makes them fo. It is the nature of all pro¬ pofitions of this clafs, fuppofing them to be exadt in point of form, that upon determining the particular predicate, the reft are of courfe to be removed : or if all to feIf-evi¬ dent and deraonltra- bie. Part II. L O Of all tlte predicates but one are removed, that one necef- Judgment. farily takes place. Thus, in the example given above j * if we allow the world to be the work of fome wife and powerful caufe, we of courfe deny it to be felf-exift- ent 5 or if we deny it to be felf-exiftent, we muft ne- ceflarily admit that it was produced by fome wife and powerful caufe. Now this particular manner of link¬ ing the predicates together, fo that the eftabliihing one difplaces all the reft j or the excluding all but one ne- ceflarily eftabliihes that one *, cannot otherwife be ef¬ fected than by means of disjunEiive particles. And hence it is that propofitions of this clafs take their names from thefe particles which make fo neceftary a part of them, and indeed conftitute their very nature confidered as a diftinCt fpecies. Chap. VI. Of the Divijion of Propofitions into Self-evi¬ dent and Demonjirab/e. Propofitiotis I. When any propofition is offered to the view of divided in- the mind, if the terms in which it is expreffed be underftood ; upon comparing the ideas together, the agreement or difagreement afferted is either immedi¬ ately perceived, or found to lie beyond the prefent reach of the underftanding. In the firft cafe the pro¬ pofition is faid to be felf-evident, and admits not of any proof, becaufe a bare attention to the ideas them- felves produces full conviction and certainty j nor is it poflible to call in any thing more evident by way of confirmation. But where the connexion or repug¬ nance comes not fo readily under the infpeCtion of the mind, there we muft have recourfe to reafoning j and if by a clear feries of proofs we can make out the truth propofed, infomuch that felf-evidence (hall ac¬ company every ftep of the procedure, we are then able to demonftrate what we affert, and the propofi¬ tion itfelf is faid to be demonfrable. When we affirm, for infiance, that it is impojfible for the fame thing to be and not to be; whoever underftands the terms made ufe of perceives at firft glance the truth of what is af¬ ferted, nor can he by any efforts bring himfelf to be¬ lieve the contrary. The propofition therefore is felf- evident, and fuch that it is impoffible by reafoning to make it plainer •, becaufe there is no truth more ob¬ vious or better known, from which as a confequence it may be deduced. But if we fay, This world had a beginning; the affertion is indeed equally true, but ffiines not forth with the fame degree of evidence. We find great difficulty in conceiving how the world could be made out of nothing : and are not brought to a free and full confent, until by reafoning we ar¬ rive at a clear view of the abfurdity involved in the contrary fuppofition. Hence this propofition is of the kind we call demonjlrabfe, inafmuch as its truth is not immediately perceived by the mind, but yet may be made appear by means of others more known and obvious, whence it follows as an unavoidable confe¬ quence. II. From what has been faid, it appears, that reafon- tlent truths ing is employed only about demonftrable propofitions, the firft anj our jntuJtjve ancj felf-evident perceptions are °f reafon- ^'Ie u^t^rnate foundation on which it refts. ing. III. Self-evident propofitions furniffi the firft prin¬ ciples of reafoning j and it is certain, that if in our So Self-evi- G I G. i43 refearches we employ only fuch principles as have this character of felf-evidence, and apply them accord- ^’-dgraent. ing to the rules to be afterwards explained, we {hall be in no danger of error in advancing from ene dif- covery to another. For this we may appeal to the writings of the mathematicians, which being conduct¬ ed by the exprefs model here mentioned, are an incon- teftable proof of the firmnefs and {lability of human knowledge, when built upon fo fure a foundation. For not only have the propofitions of this fcience flood the teft of ages j but are found attended with that invinci¬ ble evidence, as forces the affent of all who duly con- fider the proofs upon which they are eftabliffied. Since the mathematicians are univerfally allowed to have hit upon the right method of arriving at unknown truths, fince they have been the happieft in the choice as well as the application of their principles, it may not be amifs to explain here their method of ftating felf-evi¬ dent propofitions, and applying them to the purpofes of demonftration. ^ IV. Firft then it is to be obferved, that they have Definitions been very careful in afcertaining their ideas, and fix-a great ing the fignification of their terms. For this purpofe ^,elP t0. they begin with definitions, in which the meaning of^^1* their words is fo diftinCtly explained, that they can-^ence jn not fail to excite in the mind of an attentive reader knowledge* the very fame ideas as are annexed to them by the writer. And indeed the clearnefs and irrefiftible evi¬ dence of mathematical knowledge is owing to nothing fo much as this care in laying the foundation. Where the relation between any two ideas is accurately and juftly traced, it will not be difficult for another to com¬ prehend that relation, if in fetting himfelf to difcover it he brings the very fame ideas into comparifon. But if, on the contrary, he affixes to his words ideas dif¬ ferent from thofe that were in the mind of him who firft advanced the demonftration : it is evident that as the fame ideas are not compared, the fame relation cannot fubfift, infomuch that a propofition will be re¬ jected as falfe, which, had the terms been rightly un¬ derftood, muft have appeared inconteftably true. A fquare, for inftance, is a figure bounded by four equal right lines, joined together at right angles. Here the nature of the angles make no lefs a part of the idea than the equality of the fides : and many properties demonftrated of the fquare flow entirely from its being a reCtangular figure. If therefore we fuppofe a man, who has formed a partial notion of a fquare, compre¬ hending only the equality of its fides, without regard to the angles, reading fome demonftration that implies alfo this latter confideration ; it is plain he would re- jeCt it as not univerfally true, inafmuch as it could not be applied where the fides were joined together at equal angles. For this laft figure, anfwering ftill to his idea of a fquare, would be yet found without the pro¬ perty affigned to it in the propofition. But if he comes afterwards to correct his notion, and render his idea complete, he will then readily own the truth and 52 juftnefs of the demonftration. Mathema- V. We fee, therefore, that nothing contributes foj!Cians’. ^ much to the improvement and certainty of human wilHhem knowledge, as the having determinate ideas, and procure a keeping them fteady and invariable in all our dif-re3C'y re- courfes and reafonings about them. And on this ac-cePUor t0 count it is, that mathematicians, as was before obferved, always vance. si The efta- bliflaing of principles, the fecond 144 L O Of always begin by defining their terms, and diftin&Iy un- Judgment. folding the notions they are intended to exprefs. v ' Hence fuch as apply themfelves to thefe ftudies have exactly the fame views of things ; and, bringing al¬ ways the very fame ideas into comparifon, readily dif- cern the relations between them. It is likewife of importance, in every demonftration, to exprefs the fame idea invariably by the fame word. From this pradlice mathematicians never deviate j and if it be neceffary in their demonftrations, where the reader’s comprehenfion is aided hy a diagram, it is much more fo in all reafon- ings about moral or intelleftual truths where the ideas cannot be reprefented by a diagram. The obfervation of this rule may fometimes be produftive of ill-found¬ ing periods j but when truth is the objedl, found ought to be defpifed. VI. When the mathematicians have taken this firft ftep, and made known the ideas whofe relations they intend to inveftigate, their next care is, to lay down ftep m ma- f°me felf-evident truths, which may ferve as a founda- thematical tion for their future reafonings. And here indeed knowledge, they proceed with remarkable circumfpeftion, admit¬ ting no principles but what How immediately from their definitions, and neceffarily force themfelves upon a mind in any degree attentive to its ideas. Thus a circle is a figure formed by a right line moving round fome fixed point in the fame plane. The fixed point round which the line is fuppofed to move, and where one of its extremities terminates, is called the centre of the circle. The other extremity, which is conceived to be carried round until it returns to the point whence it firft fet out, defcribes a curve running into itfelf, and termed the circumference. All right lines drawn from the centre to the circumference are called radii. From thefe definitions compared, geometricians derive this felf-evident truth j that the radii of the fame circle are all equal to one another. Propofitions VII. We now obferve, that in all propofitions we divided into either affirm or deny fome property of the idea that fpeculative conftitutes the fubjeft of our judgment, or we maintain cal' ^ra * that fomething may be done or effefted. The firft fort are called fpeculative propofitions, as in the example mentioned above, the radii of the fame circle are all equal one to another. The others are called praBical, for a reafon too obvious to be mentioned j thus, that a right line may be drawn from one point to another is a pra£li- cal propofition j inafmuch as it expreffed that fomething may be done. VIII. From this twofold confideralion of propofi- thematical tions arifes the twofold divifion of mathematical prin- principles cjpies jnt0 axioms and poftulates. By an axiom they ecHnto^aja unc!erftand any felf-evident fpeculative truth j as, That oms and*1 the whole is greater than its parts : That things equal to poftulates; one and the fame thing are equal to one another. But a felf-evident pradlical propofition is what they call a pojlulate. Such are thofe of Euclid ; that a fnite right line may be continued direBly forwards ; that a circle may be defcribed about any centre with any di/lance. And here we are to obferve, that as in an axiom the agreement or difagreement between the fubjeft and pre¬ 55 Hence ma- G I C. - Part II. dicate muft come under the immediate infpe&ion of the Of mind j fo in a poftulate, not only the poffibility of the JudSment< thing afferted muft be evident at firft view, but alfo v" the manner in which it may be effedled. For where this manner is not of itfelf apparent, the propofition comes under the notion of the demonftrable kind, and is treated as fuch by geometrical writers. Thus, to draw a right line from one point to another, is affumed by Euclid as a poftulate, becaufe the manner of doing it is fo obvious, as to require no previous teaching. But then it is not equally evident, how we are to con- ftrudl an equilateral triangle. For this reafon he ad¬ vances it as a deraonftruble propofition, lays down rules for the exaft performance, and at the fame time proves, that if thefe rules are followed, the figure will be juftly defcribed. 55 IX. This leads us to take notice, that as felf-evident and demon, truths are diftinguifhed into different kinds, according ftr£>;lenf,1?‘ as they are fpeculative or praflical j fo is it alfo withj^ t},eore^j demonftrable propofitions. A demonftrable fpecula-and pro- live propofition is by mathematicians called a Meomw. blems. Such is the famous 47th propofition of the firft book of the Elements, knowm by the name of the Pythago~ ric theorem, from its fuppofed inventor Pythagoras, viz. “ that in every right-angled triangle, the fquare defcribed upon the fide fubtending the right angle is equal to both the fquares defcribed upon the fides con¬ taining the right angle.” On the other hand, a de¬ monftrable practical propofition is called a problem ; as where Euclid teaches us to defcribe a fquare upon a given right line. X. It may not be amifs to add, that, befides the Corollaries four kinds of propofitions already mentioned, mathe-are obvious maticians have alfo a fifth, knowm by the name ofclecJu<^*ons corollaries. Thefe are ufually fubjoined to theorems or t^e0* problems, and differ from them only in this : that theyprobjem& flow from what is there demonftrated in fo obvious a manner as to difcover their dependence upon the pro¬ pofition whence they are deduced, almoft as foon as propofed. Thus Euclid having demonftrated, “ that in every right-lined triangle all the three angles taken together are equal to tw’o right angles j” adds by way of corollary, “ that all the three angles of any one tri¬ angle taken together are equal to all the three angles of any other triangle taken together:” which is evident at firft fight} becaufe in all cafes they are equal to two right ones, and things equal to one and the fame thing are equal to one another. ^ XI. The fcholia of mathematicians are indifferently Scholia annexed to definitions, propofitions, or corollaries 5 and ferve the anfwer the fame purpofes as annotations upon a cIafficP’'rP°^e' author. For in them occafion is taken to explain what-'*""0’**'0115 • • 1 1 or <1 com® ever may appear intricate and oblcure m a train ot rea-ment> foning •, to anfwer ohjeftions j to teach the application and ufes of propofitions j to lay open the original and hiftory of the feveral difcoveries made in the fcience $ and, in a word, to acquaint us with all fuch particulars as deferve to be known, whether confidered as points of curiolity or profit. PARI* logic, Part III Of Reafoning. t PART III. OF REASONING. HS °f Reafoning. Chap. I. Of Reafoning in general, and the Parts of which it conffis. IT often happens in comparing ideas together, that their agreement or difagreement cannot be difcerned at firft view, efpecially if they are of fuch a nature as ^ not to admit of an exadl application one to another. Remote re- When, for inftance, we compare two figures of a dif- lations dif- ferent make, in order to judge of their equality or in- covered by equality^ it is plain, that by barely confidering the fi- interme gures themfelves, we cannot arrive at an exafl deter- diate ideas, mination •, becaufe, by reafon of their difagreeing forms, it is impoffiale fo to put them together, as that their feveral parts {hall mutually coincide. Here then it be¬ comes neceflary to look out for fome third idea that will admit of fuch an application as the prefent cafe requires j wherein if we fucceed, all difficulties vanilh, and the relation we are in queft of may be traced with eafe. Thus, right-lined figures are all reduced to fquares, by means of which we can meafure their areas, and determine exadlly their agreement or difagreement go in point of magnitude. This m.m- II. But how can any third idea ferve to difcover a nerofarri- relation between two others ? The anfwer is, By be- trufh^erm ’n£ cwlT1Pared feverally with thefe others j for fuch a edrea- comparifon enables us to fee how far the ideas with foiling. which this third is compared are connected or disjoin¬ ed between themfelves. In the example mentioned above of two right-lined figures, if we compare each of them with fome fquare whofe area is known, and find the one exaftly equal to it, and the other lefs by a fquare inch, we immediately conclude that the area of the firft figure is a fquare inch greater than that of the fecond. This manner of determining the relation be¬ tween any two ideas, by the intervention of fome third with which they may be compared, is that which we call reafoning ; and is indeed the chief inftrument by which we puffi on our difeoveries, and enlarge our knowledge. The great art lies in finding out fuch in¬ termediate ideas, as when compared with the others in the queftion, will furniffi evident and known truths j becaufe, as will afterwards appear, it is only by means of them that we arrive at the knowledge of what is 5, hidden and remote. The parts III. Hence it appears, that every aft of reafoning thatconfti- neeeflarily includes three diftinft judgments; two ofreafon^ wherein the ideas whofe relation we want to difcover ing and a are Severally compared with the middle idea, and a fyllogitm. third wherein they are themfelves connefted or disjoin¬ ed, according to the refult of that comparifon. Now, as in the fecond part of logic, our judgments, when put into words, were called propofitions, fo here in the third part the expreffions of our reafonings are termed fyUogifms. And hence it follows, that as every a£I of reafoning implies three feveral judgments, fo every fyl- logifm muft include three diftinfl propofitions. When a reafoning is thus put into words, and appears in form of a fyllogifm, the intermediate idea made ufe of, to difcover the agreement or difagreement we fearch for, VOL. XII. Part I. is called the middle term; and the two ideas themfelves with which this third is compared, go by the name of the extremes. 62 VI. But as thefe things are beft illuftrated by ex-Inftance, amples ; let us, for inftance, fet ourfelves to inquire111:111 and whether men are accountable for their actions. As the relation between the ideas of man and accountablenefs, comes not within the immediate view of the mind, our firft care muft be to find out fome third idea that will enable us the more eafily to difcover and trace it. A very fmall meafure of refleftion is fufficient to in¬ form us, that no creature can be accountable for his aftions, unlefs we fuppofe him capable of diftinguifli- ing the good from the bad; that is, unlefs we fuppofe him poffeffed of reafon. Nor is this alone fufficient. For what would it avail him to know good from bad adtions, if he had no freedom of choice, nor could avoid the one and purfue the other ? hence it becomes neceffary to take in both coniiderations in the prefent cafe. It is at the fame time equally apparent, that wherever there is ability of diftinguifliing good from bad aftions, and of purfuing the one and avoiding the other, there alfo a creature is accountable. We have then got a third idea, with which accountablenefs is infeparably connected, viz. reafon and liberty; which are here to be confidered as making up one complex conception. Let us now take this middle idea, and compare it with the other term in the queftion, viz. man, and we all know by experience that it may be affirmed of him. Having thus by means of the inter¬ mediate idea formed two feveral judgments, viz. that man is poffeffed of reafon and liberty; and that reafon and liberty imply accountablenefs ; a third obvioufty and neceffarily follows, viz. that man is accountable for his options. Here then we have a complete a6t of reafon¬ ing, in which, according to what has been already ob- ferved, there are three diftinft judgments : two that may be ftyled previous, inafmuch as they lead to the other, and arife from comparing the middle idea with the two ideas in the queftion : the third is a confe- quence of thefe previous a£ts, and flows from combin¬ ing the extreme ideas between themfelves. If now we put this reafoning into w'ords, it exhibits what logi¬ cians term a fyllogifm ; and, when propofed in due form, runs thus: “ Every creature poffefled of reafon and liberty is “ accountable for hfe a£tions. “ Man is a creature poffeffed of reafon and liberty : “ Therefore man is accountable for his adtions.” V. In this fyllogifm we may obferve, that there are premife$ three feveral propofitions exprefling the three judge-conclufion, ments implied in the ait of reafoning ; and fo dilpoled, extiemes, as to reprefent diftinftly what paffes within the mind in tracing the more diftant relations of its ideas. The twoteim* firft propofitions anfwer the two previous judgments in reafoning, and are called the premfes, becaufe they are placed before the other. The third is termed the conclujion, as being gained in confequence of what was afferted in the premifes. We are alfo to remember, T that .64 Major and minor term major and minor pro- poliuon. 65 In a fingle aifl of rea- foning the premifes mu ft be in tuitive truths. LOG that the terms exprefling the two ideas whofe rela¬ tions we inquire after, as here man and accountable- r.efs, are in general called the extremes^ and that the in¬ termediate idea, by means of which the relation is tra¬ ced, viz. a creature pojfejfed of reafon and liberty, takes the name of the middle term. Hence it follows, that by the premifes of a fyllogifm we are always to underftand the two propofitions where the middle term is feverally compared with the extremes; for thele conllitute the previous judgments, whence the truth we are in quell of is by reafoning deduced. The conclufon is that other propolition, in which the extremes themfelves are joined or feparated agreeably to what appears upon the above com pari Con. VI. The conclufion is made up of the extreme terms , of the fyllogifm : and the extreme, which ferves as the predicate ot the conclulion, goes by the name of the major term : the other extreme, which makes the i'ub- joft in the fame propolition, h* called the minor term. From this diltiniiion of the extremes arifes alfo a di- 11 in61 ion between the premifes, where thefe extremes are feverally compared with the middle term. That propolition which compares the greater extreme, or the predicate of the conclufion, with the middle term, is called the major proportion : the other, wherein the fame middle term is compared with the fubjeft of the conclufion or leffer extreme, is called the minor propofi- tion. All this is obvious from the fyllogifm already given, where the conclufion is, Alan is accountable for his aPlions. For here the predicate accountable for his aBions being conne6led with the middle term in the fir ft of the two premifes, every creature pojfejfed of rea¬ fon and liberty is accountable far his aBions, gives what we call the major propojition. In the fecond of the premifes, man is a creature pojfejftd of reafon and liberty, we find the leffer extreme, or fubje6l of the conclu¬ fion, viz. man, conne6led with the fame middle term, whence it is known to be the minor propqftwn. When a fyllogifm is propofed in due form, the major propofi- tion is always placed firft, the minor next, and the con¬ clufion laft. VII. Thefe things premifed, we may in the gene¬ ral define reafoning to be an a6l or operation of the mind, deducing feme unknown propofition from other previous ones that are evident and known. Thefe previous propofitions, in a fimple a6l of reafoning, are only two in number 5 and it is always required that they be of themfelves apparent to the underftanding, infomuch that we affent to and perceive the truth of them as foon as propofed. In the fyllogifm given above, the premifes are fuppoled to be lelf-evident truths ; otherwife the conclufion could not be inferred by a fingle a6l of reafoning. If, for inftance, in the major, every creature pojfejfed of reafon and liberty is ac¬ countable for h s aBions, the connexion between the fubjc6l and predicate could not be perceived by a bare attention to the ideas themfclves; it is evident that ihis propofition would no lefs require a proof than the conclufion deduced from it. In this cafe a new middle term muft be fought for, to trace the connexion here fuppofed 5 and this of courfe furnifties another fyllo¬ gifm, by which having eftabhlhed the propofitton in queftion, we are then, and not before, at liberty to ufe it in any fucceeding train of reafoning. And fhould it fo happen, that in this fecond effay there was I C. Part Ilk ftill fome previous propofition whofe truth did not ap- Of pear at firft fight, we muft then have recourfe to a ^-eafcnuig, third fyllogifm, in order to lay open that truth to the * ^ mind : becaufe fo long as the premifes remain uncer¬ tain, the conclufion built upon them muft be fo too. When, by condufting our thoughts in this manner, we at laft arrive at fome fyllogifm where the previous propofitions are intuitive truths •, the mind then refts in full fecurity, as perceiving that the feveral conclufions it has paffed through Hand upon the immoveable founda¬ tion of felf-evidence, and when traced to their fource terminate in it. _ ^ VIII. We fee, therefore, that in order to infer aReafonin(r conclufion by a fingle a6l of reafoning, the premifes in the high’, muft be. intuitive propofitions. Where they are not,eft exercife previous fyllogiims are required j in which cafe rea-of Il:> onlJ'a foning becomes a complicated a6l, taking in a variety of fucceffive fteps. This frequently happens in tra-iogifmJ ! cing the more remote relation of our ideas *, where, many middle terms being called in, the conclufion can¬ not be made out but in confequence of a feries of fyl- logifms following one another in train. But although in this concatenation of propofitions, thofe that form the premifes of the laft fyliogifm are often confider- ably removed from felf-evidence j yet if we trace the reafoning backw ards, w e {hall find them the conclufions of previous fyllogifms, whofe premifes approach nearer and nearer to intuition in proportion as we advance, and are found at laft to terminate in it. And if, af¬ ter having thus unravelled a demonftration, we take it the contrary way ; and obferve how the mind, fetting out with intuitive perceptions, couples them together to form a conclufion : how, by introducing this con¬ clufion into another fyllogifm, it ftill advances one ftep farther ; and fo proceeds, making every new dif- covery fubfervient to its future progrefs ; we {hall then perceive clearly, that reafoning, in the higheft Tenfe of that faculty, is no more than an orderly com¬ bination of thofe fimple a£ls which we have already fo fully explained. . _ - IX. Thus we fee, that reafoning, beginning with Requ,7res firft principles, rifes gradually from one judgment to intuitive another, and connedls them in fuch manner, that every certainty ir ft age of the progreflion brings intuitive certainty along^jr ftep with it. And now at length we may clearly under- {land the definition given above of this diftinguifhing faculty of the human mind. Reafon, we have faid, is the ability of deducing unknown truths from principles or propofitions that are already known. This evi¬ dently appears by the foregoing account, where we fee that no propofition is admitted into a fyllogifm, to ferve as one of the previous judgments on which the conclufion refts, unlefs it is itfelf a known and efta- blilhed truth, whofe connexion with felf-evident prin¬ ciples has been already traced. Chap. II. Of the feveral kinds of Reafoning : and frfl, of that by which we determine the Genera and Species oj Things. 68 I. Alt. the aims of human reafon may in the general Rea{-on;ng, be reduced to thefe two: 1. To rank things under twofold, s thofe univerfal ideas to which they truly belong ; and, 2. To aferibe to them their feveral attributes and pro¬ perties in confequence of that diftribution. XL One Part III. LOGIC. Of II. One great aim of human reafon is to determine Reafoning. genera and fpecies of things. We have feen in * the Firft Part of this treatife, how the mind proceeds in framing general ideas*. We have alfo feen in the Second Part, how by means of thefe general ideas we come by univerfal propofitions. Now as in thefe uni- verfal propofitions we affirm fome property of a genus or fpecies, it is plain that we cannot apply this proper- 69 The firft I kind re- | gards the I genera and I fpecies of things 70 The fteps by whkh we arrive at conclu * See Foot ty to particular objefls till we have firft determined ; note. whether they are comprehended under that general | p idea of which the property is affirmed. Thus there are certain properties belonging to all even numbers, which neverthelefs cannot be applied to any particular num¬ ber, until we have firft difcovered it to be of the fpecies exprefied by that natural name. Hence reafoning be¬ gins with referring things to their feveral divifions and clafles in the fcale of our ideas j and as thefe divifions are all difiinguiffied by particular names, we hereby learn to apply the terms expreffing general conceptions to fuch particular objects as come under our immediate obfervation. III. Now, in order to arrive at thefe conclufions, by which the feveral objedts of perception are brought un¬ der general names, two things are manifeftly neceflary. fions of this Firft, That we take a view of the idea itfelf denoted | fart. by that general name, and carefully attend, to the dif- tinguiftiing marks which ferve to charadterize it. Se¬ condly, That we compare this idea with the objedt under confideration, obferving diligently wherein they agree or differ. If the idea is found to correfpond with the particular objedt, we then without hefitation apply the general name j but if no fuch correfpondence in¬ tervenes, the conclufion muft neceffarily take a contra¬ ry turn. Let us, for inftance, take the number eight, and confider by what fteps we are led to pronounce it an even number. Firft then, we call to mind the idea fignified by the expreffion an even number, viz. that it is a number divifible into two equal parts. We then compare this idea with the number eight, and finding them manifeftly to agree, fee at once the neceffily of ^admitting the conclufion. Thefe feveral judgments therefore transferred into language, and reduced to the form of a fyllogifm, appear thus : “ Every number that may be divided into two equal “ parts is an even number : “ The number eight may be divided into two equal . “ parts } “ Therefore the number eight is an even number.” IV. Here it may be obferved, that wffiere the ge¬ neral idea, to which particular objtdls are referred, is very familiar to the mind, and frequently in view ; this reference, and the application of the general name-, feem to be made without any apparatus of rea¬ foning. When we fee a horfe in the fields, or a dog in the ftreet, -we readily apply the name of the fpe¬ cies •, habit, and a familiar acquaintance with the ge¬ neral idea, fuggefting it inftantaneoufly to the mind. We are not however to imagine on this account that the underftanding departs from the ufual rules of juft thinking. A frequent repetition of afts begets a ha¬ bit j and habits are attended with a certain prompt- nefs of execution, that prevents our obferving the fe¬ veral fteps and gradations by which any courfe of ac- Ition is accomplilhed. But in other inftances, where 7t Thofe fteps always followed, I though in i familiar cafes we do not always attend to ; them. 147 we judge not by precontrafled habits, as when the general idea is very complex, or lefs familiar to the Rewniing.^ mind, we always proceed according to the form of reafoning eftabliffied above. A goldfmith, for inftance, who is in doubt as to any piece of metal, whether it be of the fpecies called go/d, firft examines its proper¬ ties, and then comparing them with the general idea fignified by that name, if he finds a perfed correfpond¬ ence, no longer hefitates under what clafs of metals to rank it. V. Nor let it be imagined that our refearches here. The great becaufe in appearance bounded to the impofing of ge- importance neral names upon particular objeds, are therefore tl"i* brancr of vial and of little confequence. Some of the moft con- rcafomiig . fiderable debates among mankind, and fuch too as nearly regard their lives, intereft, and happinefs, turn wholly upon this article. Is it not the chief employ¬ ment of our feveral courts of judicature to determine in particular inftances, what is law, juftice, and equity ? Of what importance is it ‘in many cafes to decide aright whether an adion fhall be termed murder or rnanjlaughter? We fee then that no lefs than the lives and fortunes of men depend often upon thefe decifions. The reafon is plain. Adions, when once referred to a general idea, draw after them all that may be affirm¬ ed of that idea ; infomuch that the determining the fpecies of adions is all one with determining what pro¬ portion of praife or difpraife, commendation or blame, &c. ought to follow them. For as it is allowed that murder deferves death ; by bringing any particular adion under the head of murder, we of courfe decide the puniftiment due to it. v 73 VI. But the great importance of this branch of rea-and theex- foning, and the neceffity of care and circumfpedion in referring particular objeds to general ideas, is ftill by farther evident from the pradice of the mathemati- mathemati¬ cians. Every one who has read Euclid, knows, that clans, he frequently requires us to draw lines through certain points, and according to fuch and fuch diredions. The figures thence refulting are often fquares, paral¬ lelograms, or redangles. Yet Euclid never fuppofes this from their bare appearance, but always demon- ftrates it upon the ftrideft principles of geometry. Nor is the method he takes in any thing different from that defcribed above. Thus, for inftance, having de¬ fined a fquare to be a figure bounded by four equal fides joined together at right angles-, when fuch a fi¬ gure arifes in any conftruflion previous to the deroon- ftration of a propofition, yet he never calls it by that name until he has ffiown that its fides are equal, and all its angles right ones. Now this is apparently the fame form of reafoning we have before exhibited in proving eight to be an even number. ^ VII. Having thus explained the rules by which we Fixed and are to condud ourfelves in ranking particular objeds,nv’ar^ab!e under general ideas, and ftiown their conformity to u^as>wllb the pradice and manner of the mathematicians : it re- piicTtio/of mains only to obferve, that the true way of render-names, ren- ing this part of knowledge both eafy and certain is,deis tbis by habituating ourielves to clear and determinate ideas, Part and keeping them fteadily annexed to their refpediveboth »afy£ names. For as all our aim is to apply general words arid certain, aright, if thefe words ftand for invariable ideas that are perfedly known to the mind, and can be readily diftinguiffied upon occafion, there will be little danger T s of 148 LOG Of of miftake or error in our reafonings. Let us fuppofe Reafoivng. by examining any objeft, and carrying our at- Sl’r y tention fucceflively from orie part to another, we have acquainted ourfelves with the feveral particulars ob- fervable in it. If among thefe ie find fuch as confti- tute fome general idea, framed and fettled before¬ hand by the underftanding, and diftinguiihed by a par¬ ticular name, the refemblance thus known and perceiv¬ ed neceffarily determines the fpecies of the objedt, and thereby gives it a right to the name by which that fpecies is called. Thus four equal fides, joined together at right angles, make up the notion of a fjuare. As this is a fixed and invariable idea, with¬ out which the general name cannot be applied $ we ne¬ ver call any particular figure a fquare until it appears to have thefe feveral conditions $ and contrarily, wherever a figure is found with thefe conditions, it neceffarily takes the name of a fquare. The fame will be found to hold in all our other reafonings of this kind, w here nothing can create any difficulty but the want of fettled ideas. If, for inftance, we have not determined within ourfelves the precife notion denot¬ ed by the word manjlaughter, it will be impoffible for us to decide whether any particular adtion ought to bear that name : becaufe, however nicely we examine the adtion itfelf, yet, being llrangers to the general idea with which it is to be compared, we are utterly unable to judge of their agreement or difagreement. But if we take care to remove this obfiacle, and di- ftindlly trace the two ideas under contideratron, all difficulties vaniffi, and the refolution becomes both eafy and certain. VIII. Thus w'e fee of what importance it is torvards the improvement and certainty of human knowledge, that we accuftom ourfelves to clear and determinate ideas, and a fteady application of words. Ghap. III. Of Reafoning, as it regards the Powers and Properties of Things, and the Relations of our general Ideas. Theuiftinc- L We now come to the fecond great end which tion of rea men have in view in their reafonings j namel)', the foning, as it difcovering and afcribins to things their feveral attri- iciences * butes and properties. And here it will be neceffary and as it to diftinguiffi between reafoning, as it regards the concerns fciences, and as it concerns common life. In the fci- common ences, our reafon is employed chiefly about univer- fal truths, it being by them alone that the bounds of human knowledge are enlarged. Hence the divifion of things into various clafles, called otherwife genera and fpecies. For thefe univerfal ideas being fet up as the reprefentatives of many particular things, whatever “ is affirmed of them may be alfo affirmed of all the in¬ dividuals to which they belong. Murder, for inftance, is a general idea, reprefenting a certain fpecies of hu¬ man actions. Reafon tells us that the puniffiment due to it is death. Hence every particular aftion, coming under the notion of murder, has the puniftiment of death allotted to it. Here then we apply the general truth to fome obvious inftance ; and this is what pro¬ perly conftitutes the reafoning of common life. For men, in their ordinary tranfaftions anjl intercourfe one with another, have, for the moft part, to do on¬ ly with particular objedls. Our friends and relations, 4 I G. Part III, their characters and behaviour, the conftitution of the Of feveral bodies that furround us, and the ufes to which Reaf°ning. j they may be applied, are what chiefly engage our at- p tention. In all thefe, we reafon about particular things j and the whole refult of our reafoning is, the applying the general truths of the fciences in the or¬ dinary tranfaftions of human life. When we fee a viper, we avoid it. Wherever we have occafion for the forcible aition of water to move a body that makes confiderable refiftance, we take care to convey it in fueh a manner that it {hall fall upon the objeft with impetuofity. Now all this happens in confequence of our familiar and ready application of thefe two gene¬ ral truths. The bite of a viper is mortal. Water fall¬ ing upon a body with impetuofty, aBs very forcibly to¬ wards fetting it in motion. In like manner, if we fet ourfelves to confider any particular charadler, in order to determine the {hare of praife or difpraife that be¬ longs to it, our great concern is to afeertain exaClly the proportion of virtue and vice. The reafon is ob¬ vious. A juft determination, in all cafes of this kind, depends entirely upon an application of thefe general maxims of morality : Virtuous aBions deferve prafe ; vi¬ cious aBions deferve blame. ^ II. Hence it appears that reafoning, as it regards The fteps common life, is no more than the aferibing the ge-by which | neral properties of things to thofe feveral objeCls withwe Procee3 the fciences. Fwo tilings IV. But that we may conduft our thoughts with equired to fome order and method, vre (hall begin with obferv- ing, that the relations of our general ideas are of two kinds : either fuch as immediately difcover themfelves, upon comparing the ideas one with another ; or fuch as, being more remote and diftant, require art and contrivance to bring them into view-. The relations of the firll kind furnilh us with intuitive and felf-evi- dent truths : thofe of the fecond are traced by reafon¬ ing, and a due application of intermediate ideas. It is of this laft kind that we are to fpeak here, having defpatched what was neceffary with regard to the other in the Second Part. As, therefore, in tracing the more diftant relations of things, we muft always have recourfe to intervening ideas, and are more or lefs fuccefsful in our refearches according to our acquaint¬ ance with thefe ideas, and ability of applying them j and it is evident, that to make a good reafoner, two things are principally required. An extenfive knowledge of thofe intermediate ideas, by means of which things may be compared one with another. Secondly, The Ikill and talent of applying them hap¬ pily in all particular inftances that come under confi- deration. V. In order to our fuccefsful progrefs in reafoning, we muft have an extenfive knowledge of thofe inter- (LintermT mec^at-e ideas by means of which things may be com- iiateIdeas'. Parecl one with another. For as it is not every idea that will anfwer the purpofe of our inquiries, but fuch only as are peculiarly related to the obje&s about which we reafon, fo as, by a comparifon with them to furnifh evident and known truths *, nothing is more apparent than that the greater variety of conceptions we can call into view, the more likely we are to find fome among them that will help us to the truths here required. And, indeed, it is found to hold in experi¬ ence, that in proportion as we enlarge our views of things, and grow acquainted with a multitude of dif¬ ferent objedls, the reafoning faculty gathers ftrength : for, by extending our fphere of knowledge, the mind acquires a certain force and penetration, as being ac- cuftomed to examine the feveral appearances of its ideas, and obferve what light they caft one upon ano¬ ther. VI. This is the reafon why, in order to excel re¬ markably in any one branch of learning, it is necelfa- ry to have at leaft a general acquaintance with the whole circle of arts and fciences. The truth of it is, 79 Firft, An extenfive I C. ' H9 all the various divilions of human knowledge are very nearly related among themfelves, and, in innumerable ea ^n'n^>* inftances, ferve to illuftrate and fet off each other. 8o And although it is not to be denied that, by an ob-To excel in ftinate application to one branch of ftudy, a man may any one make confiderable progrefs, and acquire fome degree j,raI^ 0 of eminence in it ; yet his views will be always nar- we niuft be row and contracted, and he will want that mafterly in general difcernment which not only enables us to purfue our acquainted difcoveries with eafe, but alfo, in laying them opeH^iththe^ to others, to fpread a certain brightnefs around thern.^J°fe.ut" But when our reafoning regards a particular fcience, an(^ fcien. it is farther neceffary that we more nearly acquaint ces. durfelves with whatever relates to that fcience. A general knowledge is a good preparation, and enables us to proceed with eafe and expedition in whatever branch of learning we apply to. But then, in the minute and intricate queftions of any fcience, we are by no means qualified to reafon with advantage until we have perfeftly maftered the fcience to which they belong. 81 VII. We come now to the fecond thing requlr-Secondly, ed, in order to a fuccefsful progrefs in reafoning j namely, the fkill and talent of applying hitermediatea^mye'^fa[e" ideas happily in all-particular inftances that come un-ideas hap- der confideration. And here, rules and precepts are pily in par- of little fervice. Ufe and experience are the bell bcul21 in- inftruclors. For, whatever logicians may boaft 0fftar'ceb' being able to form perfeft reafoners by book and rule, we find by experience, that the ftudy of their pre¬ cepts does not always add any great degree of ftrength to the underftanding. In ftiort, it is the habit alone of reafoning that makes a reafoner. And therefore the true way to acquire this talent is, by being much converfant in thofe fciences where the art of reafen- ing is allowed to reign in the greateft perfeftion. Hence it was that the ancients, who fo well under- ftood the manner of forming the mind, always began with mathematics, as the foundation of their philo- fophical ftudies. Here the underftanding is by de¬ grees habituated to truth, contra£ts infenfibly a cer¬ tain fondnefs for it, and learns never to yield its af- fent to any propofition but vdiere the evidence is fufficient to produce full convidlion. For this reafon Plato has called mathematical demonfirations the ca¬ thartics or purgatives of the foul, as being the pro¬ per means to cleanfe it from error, and reftore that natural exercife ©f its faculties in which juft thinking confifts. g3 VIII. If therefore we would form our minds to a The ftudy habit of reafoning clofely and in train, we cannot take of mathe- - any more certain method than the exercifing ourfelves rnadcal ^e_ in mathematical demonftrations, fo as to contrail a kind ’ of familiarity with them. Not that we look upon itaSgreat avail neceffary that all men ftiould be deep mathematicians j in this re¬ but that, having got the way of reafoning which thatfp6^' ftudy neceffarily brings the mind to, they may be 83 able to transfer it to other parts of knowledge, as they As alfo of Ihall have occafion. fut^ au_ IX. But although the ftudy of mathematics be of another fub others the moft ufeful to form the mind and give it as are an early relifh of truth, yet ought not other parts ofdiftinguilh- philofophy to be negle£led. For there alfo we meetec*Ior with many opportunities of exercifing the powefs °fan^uftnefs the underftanding j and the variety of fubje&s natu-ofreafoninr rally :i5° ' L O Of rally leads us to obferve all thofe different turns of . ea^nwS- thinking that are peculiarly adapted to the feveral ideas we examine, and the truth \re fearch after. A rnirid thus trained acquires a certain maftery over its own thoughts, infomuoh that it can range and model them at pleafure, and call fuch into view as belt fuit its prefent deligns. Now in this the whole art of rea- foning confifts; from among a great variety of differ¬ ent ideas to fingle out thofe that are moft proper for the bufinefs in hand, and to lay them together in fuch order, that from plain and eafy beginnings, by gentle degrees, and a continued train of evident truths, we may be infenlibly led on to fuch difcoveries, as at our firft fetting out appeared beyond the reach of human underftanding. For this purpofe, befides the ftudy of mathematics before recommended, we ought to apply "•ourfelves diligently to the reading of fuch authors as have diftinguilhed themfelves for ftrength of reafoning, and a juft and accurate manner of thinking. For it is obfervable, that a mind exercifed and feafoned to truth, feldom refts fatisfied in a bare contemplation of the arguments offered by others; but will be frequent¬ ly affaying its own ftrength, and purfuing its dilcove- ries upon the plan it is moft accuftomed to. Thus ve infenfibly contrail a habit of tracing truth from one ftage to another, and of inveftigating thofe general relations and properties which we afterwards afcribe to particular things, according as we find them compre¬ hended under the abftraft ideas to which the proper¬ ties belong. Chap. IV. Q/*the Forms of Syllogifms. 84 The figures I. Hitherto we have contented ourfelves with a dffyllo- general notion of fyllogifms, and of the parts of which gifms. they confift. It is now time to enter a little more particularly into the fubjeft, to examine their various forms, and lay open the rules of argumentation pro¬ per to.each. In the fyllogifms-mentioned in the fore¬ going chapters, we may obferve, that the middle term is the fubjeft of the major propofition, and the predi¬ cate of the minor. This difpofition, • though the moft; natural and obvious, is not however neceffary ; it fre¬ quently happening, that the middle term is the fub- je£t in both the premifes, or the predicate in both ; and fometimes, direftly contrary to its difpofition in the foregoing chapters, the predicate in the major, and the fubjeft in the minor. Hence the diftin&ion of fyllogifms into various kinds, calledby logi¬ cians. For figure, according to their ufe of the word, is nothing elfe but the order and difpofition of the middle term in any fyllogifm. And as this difpofition is, we fee, fourfold, fo the figures of fyllogifms thence arifing are four in number* When the middle term is the fubjedt of the major propofition, and the predicate of the minor, we have what is called the fiijl figure; As, “ No work of Gfod is bad : “ The natural paflions and appetites of men are “ the work of God : Therefore none of them is bad.” If, on the other hand, it is the predicate of both the premifes, the fyllogifm is faid to be the fecond figure: ^As, GIG.. Part III I “ Whatever is bad is not the work of God : Of “ All the natural paffions and appetites of men R-eafoning. “ are the work of God : v—j 1 “ Therefore the natural paflions and appetites of “ men are not bad.” Again, In the thirdfigure, the middle term is the fub- ject of the two premifes : As, “ All Africans are black : “ All Africans are men : “ Therefore fome men are black.” And laftly, By making it the predicate of the major, and fubjedt of the minor, we obtain fyllogifms in the fourth figure : As, “ The only Being who ought to be worftiipped is “ the Creator and Governor of the world : “ The Creator and Governor of the world is “ God : “ Therefore God is the only Being who ought to “ be worftiipped.” 85 ' I II. But, befides this fourfold diftindiion of fyllo-The moods f gifms, there is alfo a farther fubdivifion of them in °[ ty110* every figure, arifing from the quantity and quality, as&in's' they are called, of the propofitions. By quantity we mean the confideration of propofitions, as univerfal or particular; by quality, as affirmative or negative. “Now as, in all the feveral difpofitions of the middle term, the propofitions of which a fyllogifm confifts may be either univerfal or particular, affirmative or negative ; the due determination of thefe, and fo put¬ ting them together as the laws of argumentation re¬ quire, conftitute what logicians call the moods of fyllo¬ gifms. Of thefe moods there is a determinate num¬ ber to every figure, including all the poflible ways in which propofitions differing in quantity or quality can be combined, according to any difpofition of the mid¬ dle term, in order to arrive at a juft conclufion. The firft figure has only four legitimate moods. The major propofition in this figure muft be univerfal, and the minor affirmative ; and it has this property, that it yields conclufions of all kinds, affirmative and negative, univerfal and particular. The fecond figure has alfo four legitimate moods. Its major propofition muft be univerfal, and one of the premifes muft be negative. It yields conclufions both univerfal and particular, but all negative. The third figure has fix legitimate moods. Its mi¬ nor muft always be affirmative; and it yields conclu¬ fions both affirmative and negative, but all particular. Thefe are all the figures which were admitted by the inventor of fyllogifms, and of which, fo far as we know, the number of legitimate moods has been af- certained, and feverally demonftrated. In every figure it will be found upon trial, that there are fixty-four dif¬ ferent moods of fyllogifm ; and he who thinks it worth while to ccnftruft fo many in the fourth figure, always remembering that the middle term in each muft be the predicate of the major and the fiuljeB of the minor pro¬ pofition, will eafily difcern what number of thefe moods are legitimate, and give true conclufions. Befides the rules that are proper to each figure, Ariftotle has given fome that are common to all, by which the legitimacy of fyllogifms may be tried. Thefe Part IIL L o Of Thefe may be reduced to five : 1. There muft be Reafoning. on]y three terms in a fyllogifm : As each term occurs v ""1 in two of the propofitions, it muft be precifely the fame in both ; if it be not, the fyllogifm is faid to have four terms, which makes a vicious fyllogifm. 2. The middle term muft be taken univerfally in one of the pre- mifes. 3. Both premifes muft not be particular propo¬ fitions, nor both negative. 4. The conclufon muft be particular, if either of the premifes be particular ; and negative, if either of the premifes be negative. 5. No term can be taken univerfally in the conclufon, if it be not taken univerfally in the premifes. For underftanding the fecond and ffth of thefe rules, it is neceffafy to obferve, that a term is faid to be ta¬ ken univerfally, not only when it is t\\e fubjeB of a uni- verfal propofition, but alfo when it is the predicate of a negative propofition. On the other hand, a term is faid to be taken particularly, when it is either the fub- jeEl of a particular or the predicate of an affirmative pro- pofition. Foundation III. The divifion of fyllogifms according to mood hf the other and figure-refpedls thofe efpecially which are known |hvifion of by t]ie name 0f p]ain fimple lyllogilms } that is, which '' rn“. are bounded to three propofitions, all fimple, and where the extremes and middle term are connected, according to the rules laid down above. But as the mind is not tied down to any one precife form of rea- foning, but fometimes makes ufe of more, fometimes of fewer premifes, and often takes in compound and conditional propofitions, it may not be amifs to take notice of the different forms derived from this fource, !and explain the rules by which the mind conducts it- felf in the ufe of them. Conditional IV. When in any fyllogifm the major is a condition- yllogifms. al propofition, the fyllogifm itfelf is termed conditional. Thus : “ If there is a God, he ought to be worfliipped : “ But there is a God : “ Therefore he ought to be worfliipped.” In this example, the major, or firft propofition, is, we fee, conditional, and therefore the fyllogifm itfelf is alfo of the kind called by that name. And here we are to obferve, that all conditional propofitions are made of two diftimft parts: one exprefling the condi¬ tion upon which the predicate agrees or difagrees with the fubjedl, as in this now before us, if there is a God; the other joining or disjoining the faid predicate and fubjecl, as .here, he ought to be worfhipped. The firft of thefe parts, or that which implies the condition, is called the antecedent; the fecond, where we join or dif- join Uie predicate and fubjeft, has the name of the con- ss fequent. Ground of V. In all propofitions of this kind, fuppofing them illation in to be exaft in point of form, the relation between the conditional antecedent and confequent muft ever be true and real j s * that is, the antecedent muft always contain fume cer¬ tain and genuine condition, which neceffarily implies the confequent; for otherwife the propofition itfelf ■will be falfe, and therefore ought not to be admitted into our reafonings. Hence it follows, that when any conditional propofition is affumed, if we admit the antecedent of that propofition, we muft at the fame time neceffarily admit the confequent •, bpt if we re- jefl the confequent, we are in like manner bound to G I C. 151 rejeft the antecedent. For as the antecedent always °f. expreffes fome condition which neceffarily implies the ^ea^onin^“. truth of the confequent ; by admitting the antecedent, we allow of that condition, and therefore ought alfo to admit the confequent. In like manner, if it appears that the confequent ought to be rejected, the antece¬ dent evidently muft be fo too : becaufe, as was juft now demonftrated, the admitting of the antecedent would neceffarily imply the admiflion alfo of the confe¬ quent. 89 VI. There are two ways of arguing in hypothetical^^ fyllogifms, w hich lead to a certain and unavoidable con-rnoo,dt°f , cluhon. for as the major is always a conditional pro-fyiiogifms-• pofition, confifting of an antecedent and a confequent j if the minor admits the antecedent, it is plain that the conclufion muft admit the confequent. This is called arguing from the admiflion of the antecedent to the admiflion of the confequent, and conftitutes that mood or fpecies of hypothetical fyllogifms which is diftin- guifhed in the fchools by the name of the modus ponens, inafmuch as by it the whole conditional propofition, both antecedent and confequent, is eftabliftied. Thus: “ If God is infinitely wife, and afts with perfeft free- “ dom, he does nothing but what is beft : “ But God is infinitely wife, and afts with perfe£t “ freedom : “ Therefore he does nothing but what is beft.” Here we fee the antecedent or firft part of the con¬ ditional propofition is eftabliftied in the minor, and the confequent or fecond part in the conclufion j whence the fyllogifm itfelf is an example of the modus ponens. But if now we on the contrary fuppofe that the mi¬ nor rejedt the confequent, then it is apparent that the conclufion muft; alfo rejedl the antecedent. In this cafe we are faid Jto argue from the removal of the con¬ fequent to the removal of the antecedent, and the par¬ ticular mood or fpecies of fyllogifms thence arifing is called by logicians the modus tollens ; becaufe in it both antecedent and confequent are rejedted or taken away, as appears by the following example : “ If God were not a Being of infinite goodnefs* nei- “ ther would he confult the happinefs of his crea- “ tures : “ But God does confult the happinefs of his crea-- “ tures: “ Therefore he is a Being of infinite goodnefs. VII. Thefe two fpecies take in the whole clafs of-j']iey°n. conditional fyllogifms, and include all the poflible ways luck all of arguing that lead to a legitimate conclufion 5 be-1'16 caufe we cannot here proceed by a contrary procefs n^e w.^y3 of reafoning, that is, from the removal of the antece-ai^U!n^‘ dent to the removal of the confequent, or from the eftabliftiing of the confequent to the eftablift.ing of the antecedent. For although the antecedent always ex- preffes fome real condition, which, once admitted, neceffarily implies the confequent, yet it does not fol¬ low that there is therefore no other condition ; and if fo, then, after removing the antecedent, the confe- quer.t may ftill hold, becaufe of fome other determi¬ nation that infers it. When w>e fay, If a ft one is ex- pofed fotne time to the rays of the fun, it will contraB a certain degree of heat; the propofition is certainly true ; and, admitting the antecedent, we mud alfo admit 9* The man¬ ner of ar- pvtine in disjundliTe fyliogifms. logic admit tlie confequent. But as there are other ways by which a ftone may gather heat, it will not follow, from the ceafing of the before-mentioned condition, that therefore the confequent cannot take place. In other words, we cannot argue : But the Jione has not been expofed to the rays of the fun ; therefore neither has it any degree of heat: Inafmuch as there are a great many other w’ays by which heat might have been communicated to it. And if we cannot argue from the removal of the antecedent to the removal oi the confequent, no more can we from the admiffion of the confequent to the admiffion ot the antecedent : becaufe, as the confequent may flow from a great va¬ riety of different fuppolitions, the allowing of it does not determine the precife fuppofition, but only that feme one of them muff take place. I hus in the fore¬ going propolition, If a fane is expofed fame time to the rays 'of the fun, it will contraB a certain degree of heat ; admitting the confequent, viz. that it has controlled a certain degfee of heat, we are not therefore bound to admit the antecedent, that it has been fame time expofed to the rays of the fun : becaufe there are many other caufes whence that heat may have proceeded. Thefe two- ways of arguing, therefore, hold not in conditional fyliogifms. VIII. As from the major’s being a conditional pro- pofition, we obtain the fpeeifcs of conditional fylio¬ gifms : fo, where it is a disjunctive propofition, the fyllogifm to which it belongs is alfo called disjunctive, as in the following example : “ The world is either felf-exiftent, or the work of “ fome finite, or of fome infinite Being : “ But it is not felf exiftent, nor the work of a finite “ being : “ Therefore it is the work of an infinite Being.” Now, a disjunctive propofition is that, where of fe- veral predicates, w'e affirm one neceffarily to belong to the fubjeCt, to the exclufion of all the reft, but leave that particular one undetermined. Hence it follows, that as foon as we determine the particular predicate, all the reft are of courfe to be rejeCted ; or if we rejeCt all the predicates but one, that one necef¬ farily takes place. When, therefore, in a disjunctive fyllogifm, the feveral predicates are enumerated in the major 5 if the minor eftabliffies any one of thefe pre¬ dicates, the conclufion ought to remove all the reft } or if, in the minor, all the predicates but one are re¬ moved, the conclufion mult neceffarily eftabliffi that one. Thus, in the disjunftive fyllogifm given above, the major affirms one of the three predicates to be¬ long to the earth, viz. felf-exifence, or that it is the work of a finite, or that it is the work of an infinite Be- in*. Two of thefe predicates are removed in the minor, viz. felf-exifience, and the work of a finite be¬ ing. Hence the conclufion neceffarily aferibes to it the third predicate, and affirms that it is the work of an infinite Being. If now we give the fyllogifm another turn, infomqch that the minor may eftablifti one of the predicates, by affirming the earth to be the produBion of an infinite Being : then the conclufion muft remove the other two, afferting it to be neither felficxifient, nor the work of a finite being. Thefe are the forms of reafoning in thefe fpecies of fyliogifms, the juftnefs of which appears at firft fight: and that there can be no Part III, other, is evident from the very nature of a disjunCUve Of propofition. Reasoning, IX. In the feveral kinds of fyliogifms hitherto men- ^ tioned, we may obferve that the parts are complete j {mperfedt I that is, the three propofitions of which they confift are or mutilj. reprefented in form. But it often happens, that fome fy^0- one of the premifes is not only an evident truth, but^Ums* alfo familiar and in the minds of all men 5 in which cafe it is ufually omitted, whereby we have an imper- feCl fyllogifm, that feems to be made up of only two propofitions. Should we, for inftance, argue in this manner : “ Every man is mortal: “ Therefore every king is mortal the fyllogifm appears to be imperfeCt, as confifting but of two propofitions. Yet it is really complete-, only the minor [every king is a man'] is omitted, and left to the reader to fupply, as being a propofition fo familiar and evident that it cannot efcape him. . X. Thefe feemingly imperfeCt fyliogifms are called Enthyrae. enthymemes; and occur very frequently in reafoning,mes. efpecially where it makes a part of common conver- fation. Nay, there is a particular elegance in them, becaufe, not difplaying the argument in all its parts, they leave fomewhat to the exercife and invention of the mind. By this means we are put upon exerting ourfelves, and feem to (hare in the difeovery of what is propoled to us. Now this is the great fecret of fine writing, fo to frame and put together our thoughts, as to give full play to the reader’s imagination, and draw him infenfibly into our very views and courfe of reafoning. This gives a pleafure not unlike to that which the author himfelf feels in compofing. It befides ffiortens difeourfe, and adds a certain force and liveii- nefs to our arguments, when the words in which they are conveyed favour the natural quicknefs of the mind in its operations, and a fingle expreffion is left to exhi¬ bit a whole train of thoughts. . XI. But there is another fpecies of reafoning. with Groiind 0 j two propofitions, which feems to be complete in itfelf, reafoning j and where we admit the conclufion without fuppofing m irome- any tacit or fuppreffed judgment in the mind, from which it follows fyllogiftically. This happens between H propofitions, where the connexion is fuch, that the ad¬ miffion of the one neceffarily and at the firft fight im¬ plies the admiffion alfo of the other. For if it fo falls out, that the propofition on which the other depends is felf-evident, we content ourfelves with barely affirm¬ ing it, and infer that other by a direft ccnclufion. Thus, by admitting an univerfal propofition, we are forced alio to admit of all the particular propofitions comprehended under it, this being the very condition that conftitutes a propofition univerfal. If then that univerfal propofition chances to be felf-evident, the particular ones follow of courfe, without any farther train of reafoning. Whoever allows, for inftance, that things equal to one and the fame thing are equal to one another, muft at the fame time allow, that two triangles, each equal to a fquare whofe fide is three inches% are alfo equal between themfielves. This argument, therefore, “ Things equal to one and the fame thing, are equal “ to one another : “ Therefore, Part Ilf. LOGIC. J53 Of Reafon'ng. 95 . All reduci¬ ble to fyl- logifuis of fome one form or other. 96 Aforite&of plain fimple Qrllogifms. t( Therefore thefe two triangles, each equal to the “ fquare of a line of three inches, are equal be- “ tween themfelves”— is complete in its kind, and contains all that is necef- fary towards a juft and legitimate conclufion. For the firft or univerfal propofttion is felf-evident, and there¬ fore requires no farther proof. And as the truth of the particular is inseparably connected with that of the univerfal, it follows from it by an obvious and unavoid¬ able confequence. XII. Now, in all cafes of this kind, where propofi- tions are deduced one from another, on account of a known and evident connexion, wre are faid to reafon by immediate confequence. Such a coherence of pro- pnfitions manifeft at hrft fight, and forcing itfelf upon the mind, frequently occurs in reafoning. Logicians have explained at fome length the feveral fuppofitions upon which it takes place, and allow of all immediate confequences that follow in conformity to them. It is however obfervable, that thefe arguments, though feemingly complete, becaufe the conclufion follows ne- ceflarily from the fingle propofition that goes before, may yet be confidered as real enthymemes, wdiofe ma¬ jor, which is a conditional propofition, is w-anting. The fyllogifm but juft mentioned, when reprefented accord¬ ing to this view, will run as follows : “ If things equal to one and the fame thing, are “ equal to one another ; thefe two triangles, each “ equal to a fquare whofe fide is three inches, are “ alfo equal between themfelves. “ But things equal to one and the fame thing, are “ equal to one another: “ Therefore alfo thefe triangles, &c. are equal be- “ tween themfelves.” This obfervation will be found to hold in all imme¬ diate confequences whatfoever, infomuch, that they are in fa£t no more than enthymemes of hypothetical fyl- logifms. But then it is particular to them, that the ground on which the conclufion refts, namely its co¬ herence with the minor, is of itfelf apparent, and feen immediately to flow from the rules and reafons of logic. XIII. The next fpecies of reafoning we fnall take notice of here is what is commonly known by the name of a forites. This is a way of arguing, in which a great number of propofitions are fo linked together, that the predicate of one becomes continually the fub- jeft of the next following, until at laft a conclufion is formed, by bringing together the fubjeft of the firft propofition, and the predicate of the laft. Of this kind is the following argument : “ God is omnipotent: “ An omnipotent Being can do every thing pof- u fible : “ He that can do every thing poffible, can do what- “ ever involves not a contradiction : Therefore God can do whatever involves not a “ contradiction.” This particular combination of propofitions may be continued to any length we pleafe without in the leaft weakening the ground upon which the conclufion refts. The reafon is, becaufe the forites itfelf may be refolved Vol. XII. Part I. into as many Ample fyllogifms as there are middle terms in it j where this is found univerfally to hold, that when Rea‘^n,ns'’‘ fuch a refolution is made, and the fyllogifms are placed in train, the conclufion of the laft in the feries is alfo the conclufion of the forites. This kind of argument, therefore, as it ferves to unite feveral fyllogifms into one, muft ftand upon the fame foundation with the fyl¬ logifms of which it confifts, and is indeed, properly fpeaking, no other than a compendious way of reafon¬ ing fyllogiftically. py XIV. What is here faid of plain fimple propofitions A- forites of may be as well applied to thofe that are conditional that is, any number of them may be fo joined together in a feries, that the confequent of one (hall become® continually the antecedent of the next following $ in which cafe, by eftablilhing the antecedent of the firft propofition, we eftablifti the confequeht of the laft, or by removing the laft confequent remove alfo the firft antecedent. This way of reafoning is exemplified in the following argument: “ If we love any perfon, all emotions of hatred to- “ wards him ceafe : “ If all emotions of hatred towards a perfon ceafe, “ we cannot rejoice in his misfortunes : “ If we rejoice not in his misfortunes, we certainly “ wifix him no injury : “ Therefore, if we love a perfon, we wifli him no “ injury.” It is evident that this forites, as well as the laft, may be refolved into a feries of diftimft fyllogifms, with this only difference, that here the fyllogifms are all condi¬ tional. ^ # 9g XV. The laft fpecies of fyllogifm we flxall take The ground notice of in this chapter is that commonly diftinguilh-°f argu- ed by the name of a dilemma. A dilemma is an ar_ t(jjtl0n gument by which we endeavour to prove the abfur-iemma~ dity or falfehood of fome affertion. In order to this, we affume a conditional propofition, the antecedent of which is the affertion to be difproved, and the con¬ fequent a disjunctive propofition, enumerating all the pofiible fuppofitions upon which that affertion can take place. If then it appears, that all thefe feveral fup¬ pofitions ought to be rejefted, it is plain, that the an¬ tecedent or affertion itfelf muft be fo too. When therefore fuch a propofition as that before mentioned is made the major of any fyllogifm ; if the minor re¬ jects all the fuppofitions contained in the confequent, it follows neceffarily, that the conclufion ought to re- jeCt the antecedent, which, as we have faid, is the very affertion to be difproved. This particular way of arguing is that which logicians call a dilemma ; and from the account here given of it, it appears that we may in the general define it to be a hypothetical fyl¬ logifm, where the confequent of the major is a dif- junClive propofition, which is wholly taken away or removed in the minor. Of this kind is the follow¬ ing : “ If God did not create the world perfeCl in its “ kind, it muft either proceed from want of incli- “ nation, or from want of power : “ But it could not proceed either from want of in- “ clination, or from want of power : “ Therefore, he created the world perfeCl in its U “ kind.” 154- 99 An nniver- fal defcrip- tiop of it. loo Reafon at firft em¬ ployed a bout par¬ ticulars ; L O “‘kind.” Or, which is the fame thing : “ It is “ abfurd to fay that he did not create the world “ perfeft in its kind.” XVI. The nature then of a dilemma is univerfally this. The major is a conditional propofition, whole confequent contains all the feveral fuppolitions upon which the antecedent can take place. . As therefore thefe fuppolitions are wholly removed in tne minor, it is evident that the antecedent muft be lo too ; info- much that we here always argue from the removal of the conlequent to the removal of the antecedent, lhat is, a dilemma is an argument in the modus tollens of hypothetical fyllogifms, as logicians love to Ipeak. Hence it is plain, that if the antecedent of the major is an affirmative propofition, the conclufion of the di¬ lemma will be negative ; but if it is a negative propofi¬ tion, the conclufion will be affirmative. Chap. V. Of InduSiion. I. All reafoning proceeds ultimately from full truths, either felf-evident or taken for granted j and the firit truths of fyllogiftic reafonings are general propofi- tions. But except in the mathematics, and luch other fciences as, being converfant about mere ideas, have no immediate relation to things without the mind, we cannot affume as truths propofitions which are general. The mathematician indeed may be confidered as taking his ideas from the beginning \n general form. Every propofition compofed of fuch ideas is therefore ge¬ neral ; and thofe which are theoretic are reducible to two parts or terms, a predicate and a fuhjecl, with a copula generally affirmative. If the agreement or the relation between the two terms be not immediate and felf-evident, he has recourfe to an axiom, which is. a propofition ftill more general, and which fupplies him with a third or middle term. This he compares firft with the predicate, and then with the fubjeSl, or vice verfa. Thefe tw'o comparifons, when drawn out in form, make two propofitions, which are called the/>n?- mifes ; and if they happen to be immediate •&x\& felf-evi¬ dent, the conclufton, confifting of the terms of the quef- G I C. Parl: HI. tion propofed, is faid to be demonftrated. This method Of of reafoning is conduaed exaftly in the fyllogiftic form ,kea1^ explained in the preceding chapter. II. But in Iciences which treat of things external to the mind, w e cannot aflume as firf principles the moft general propofitions, and from them infer others lefs and lefs general till we defeend to particulars. The reafon is obvious. Every thing in the univerfe, whe¬ ther of mind or body, prefents itfelf to our obfervation in its individual ftate ; fo that perception and judgment employed in the inveftigation of truth, whether physi¬ cal, metaphysical, moral, or hifloncal, have in the firft place to encounter with particulars. “ With thefe reafon begins, or ftiould begin, ifs operations. It ob- ferves, tries, canvaffes, examines, and compares thf in together, and judges of them by fome of thofe native evidences and original lights, which, as they are the firft and indifpenfable inlets of knowledge to the mind, have been called the primary principles of truth.” See Metaphysics. _ < 101 III. “ By fuch a£Is of obfervation and judgment, di- ^ | ligently praaifed and frequently repeated, on many dividuals of the fame elals or of a fimilar. natuie, n°t-alcendsto I in^ their agreements, marking their differences hew-generalsol ever minute, and rejedting all inftances which, how’ever axioms, fimilar in appearance, are not in effedf the fame, rea¬ son, with much labour and attention, extraas fome general laws refpeaing the powers, properties, qualities, aftions, paffions, virtues, and relations of real things. This is no hafty, premature, notional abftraaion of the mind, by which images and ideas are formed that have no archetypes in nature: it is a rational, operative, ex¬ perimental procefs, inftituted and executed upon the conftitution of beings, which in part compere the uni¬ verfe. By this procefs REASON advances from particu¬ lars to generals, from lefs general to more general, till by a feries of flow' pregreffion, and by regular degiees, it arrive at the mof general notions, called forms or formal causes (c). And by affirming or denying a penns of a fpecies, or an accident of a fubftant e or clals, of fubftances, through all the ftages of tne gradation, we form conclujions, which, if logically drawn, aie AXIOMS (l>)j or general propofitions ranged one above anntber. (c) Qui formas novit, is, quae adhuc non fatta funt, qualia nec naturae viciffitudmes, nec experimentales in- duftrise unquam in aftum produxiffent, nec cogitationem humanam fubiturm fmflent, detegit et educit. tiaeoni {'D>j The word axiom, literally fignifies dignity: Hence it is ufed metaphorically to denote ss general truth or maxim, and fometimes any truth that is felf-evident, which is called a dignity on account of its import¬ ance in a procefs of reafoning. The axioms of Euclid are propofitions extremely general •, and lo are tne axioms of the Newtonian philofophy. But thefe two kinds of axioms have very different origins. I he former appear true upon a bare contemplation of our ideas •, whereas the latter are the refult of the moft laborious nidudtion- Lord Bacon therefore ftrenuoufly contends that they (hould never be taken upon conje&ure, or even upon the au¬ thority of the learned ; but that, as they are the general principles and grounds of all learning, they tnoulcl be canvaffed and examined with the moft fcrupulous attention, “ utaxiomatum corrigatur.imquitas, quae plerumque in exemplis vulgatis fundamentum habent:” De Augm. Sc. lib. ii. cap. 2. “ Atque ilia ip a putat.\a pnncipia ad rationes reddendas compellare decrevimus, quoufque plane conftant:” Di/lnb. Opens. Dr J atham makes a diftinftion between axioms intuitive and axioms felf-evident. Intuitive axioms, according to him, pa s t r°uR * the firft inlets of knowledge, and ftelh direft convidion on the minds, as external objects do on the itnies, ot ail men. Other axioms, though not intuitive, may be properly faid to he fe/f evident; becaufe, m their formation, reafon iudges by Angle comparifons without the help of a third idea or middle term j fothat they have their evi¬ dence in themfelves, and though indudively framed they cannot be fyllogiftically proved. If this diftmdion ta iurt, and we think it is, only particular truths can be intuitive axioms. 3art HI. L O , of another, till they terminate in thofe that are uni- teafoniog- VERSAL. IV. “ Thus, for inftance, the evidence of the exter¬ nal fenfes is obvioufly the primary principle from which all phyfical knowledge is derived. But, whert- luftionev- as nature begins with caufes, which, after a variety of ■raplified changes, produce efedls, the fenfes open upon the ef- npbj’iics- ancj from them, through the flow and painful road of experiment and obfervation, afcend to caufes. By experiments and obfervations fkilfully chofen, art¬ fully conducted, and judicioufly applied, the philofopher advances from one ftage of inquiry to another in the ra- ' tional inveftigation of the general caufes of phyfical truth. From different experiments and obfervations nude on the fame individual fubjeft, and from the f^me experiments and obfervations made on different fubje&s of the fame kind, by comparing and judging, he difco- vers fome qualities, caufes, or phenomena, which, after carefully diftinguilhing and rejedting all contradictory inftances that occur, he finds common to many. Thus from many collateral comparifons and judgments form¬ ed upon particulars he afeends to generals; and by a repetition of the fame induftrious procefs and laborious Inveftigation, he advances from general to more general, till at laft he is enabled to form a few of the mojl gene¬ ral, with their attributes and operations, into axioms or fecondary principles, which are the well-founded laws enadted and enforced by the God of nature.— This is -that juft and philofophic method of reafoning which found logic prefcribes in this as well as in other parts of learning *, by which, through the flow but certain road of experiment and obfervation, the mind afeends from appearances to qualities, from effedls to caufes j and from experiments upon many particular fubjedls forms general proportions concerning the powers and 103 properties of phyfical body. Axioms fo V. “ Axioms fo invefligated and eftablifhed are ap- •ftablifhed, pl]cable to all parts of learning, and are the indifpen- e aU^l-r ^aWe» anc^ indeed the wonderful expedients, by which, a learning. every branch of knowledge, reafon pufhes on its in- b quiries in the particular purfuit of truth j and the me¬ thod of reafoning by which they are formed, is that of true and legitimate induction \ which is therefore by Lord Bacon, the belt and foundeft of logicians, called the key of interpretation. VI. “ Inflead of taking his axioms arbitrarily out of the great families of the categories (fee Category), and ere£ting them by his own fophiftical invention in¬ to the principles upon which his difputation was to be employed, had the analytical genius of Ariftotle pre- fented us with the laws of the true INDUCTIVE LOGIC, by which axioms are philofophically formed, and had he with his ufual fagacity given us an example of it in a fingle branch of fcience j he would have brought to the temple of truth, an offering more valuable than he has done by the aggregate of all his logic and phi- lofophical productions. VII. “ In all fciences, except the mathematics, it is only after the inductive procefs has been induftriouf- ly purified and fuceefsfully performed, that DEFINITION , may be logically and ufefully introduced, by beginning with the genus, pafiing through all the graduate and 104 Inclusion prior to tldinition, G I C. fubordinate ftages, atjtd marking the fpccifc difference as is defeends, till it arrive at the individual, which is the fubjeCt of the queftion. And by adding an affirmation or negation of the attribute of the genus or the fpecies or individual, or of a general accident on the particular • fubflance fo defined, making the definition a propofi- tion, the truth of the queflion will be logically folyed without any farther procefs. So that inftead of being the firjl, as employed by the logic in common ufe, de¬ finition may be the lafi aCl ot reafon in the fearch of truth in general. _ 10.s VIII. “ Thefe axioms or general propofitions, thusand to lyl- induBively eftabliflied, become another fpecies of prin- ^ la1‘ CIPLES, which may be properly called secondary, and which lay the foundation of the fyllogiftic method ©f reafoning. When thefe are formed, but not before, we may fafely admit the maxim with which logicians fet out in the exercife of their art, as the great hinge on which their reafoning and difputation tuyn : from truths that are already known, to derive others which are not known. Or, to ftate it more comprehenfively, fo as to apply to probable as well as to feientific reafon¬ ing—From truths which are better known, to derive others which are lefis known. Philofophically (peaking, fyllogiftic reafoning is, under generalpropofitions to re¬ duce others which are lefis general or which are parti¬ cular; for the inferior ones are known to be true, only as we trace their connexion with the fupenor. Logi¬ cally (peaking, it is, To predicate a genus of z fpecies or individual comprehended under it, or an accident of the fiubfiance in which it is inherent. 106 IX. “ Thus INDUCTION and SYLLOGISM are the Induction two methods of dir eel reafoning correfponding to the two kinds of principles,andfecondary, on which different, they are founded, and by which they are reipeftively condufted. In both methods, indeed, reafon proceeds by judging and comparing, but the proceis is different throughout} and though it may have the lanftion of Ariftotle, an induBivefyllogijm is a folecifm. . 107 X. “ Till general truths are afeertained by indue-Induction tion, the third or middle terms, by which fyllogilms are ; • made are nowhere fafely to be found. So that ano*]0^.fm. ther pofition of the Stagyrite, thatJyliogifm is naturally prior in order to induBion, is equally unfounded ; ftr induElion does not only naturally but neceffarily precede fiyllogifm; and, except in mathematics, is in every re- fpefit indifpenfable to its exiftence j fince, till generals are eftablifhed, there can be neither definition, propofi- tion, nor axiom, and of courfe no fyllogifm. And as induction is the firft, fo is it the more efifential and fun¬ damental inftiument of reafoning : for as fyllogifm can¬ not produce its own principles, it muft have them from, induftion 3 and if the general propofitions or fecondary principles be imperfectly or infirmly eftabliflied, and much more if they be taken at hazard, upon authority, or by arbitrary affumpfeton like thofe of Ariftotle, all the fyllogizing in the world is a vain and ufelels logo¬ machy, only inftrumental to the multiplication of falfe learning, and to the invention and confirmation of er¬ ror. The truth of fyllogifms depends ultimately on the truth of axioms, and the truth of axioms on the found- n«fs of inducVions (e).”—But though induftion is . U 2 prior (E) This chapter is almoft wholly taken from Ta thorn's Chart and Scale of Truth; a work which, notwith- finding i §6 LOG Of prior in order, as well as fuperior in utility, to fyllo- Reafoning. We have thought it expedient to treat of it laft $ s both becaufe fyllogifm is an ealier exercife of the rea- Why we foning faculty than induction, and becaufc it is the have treat- method of mathematics, the firft fcience of reafon ui ed of f>l- which the ftudent is commonly initiated, logifm firft. J Chaf. VI. Of Demonjlration. I. Having difpatched what feemed neceffary to be faid with regard to the two methods of direft reafon- ing, indtdiwn fyllogifm ; we now proceed to confi- der the laws of demonllration. And here it muft be acknowledged, that in drift demonflration, which re¬ moves from the mind all poffibility of doubt or error, the induftive method of reafoning can have no place. When the experiments and obfervations from which the general conclufion is drawn are numerous and ex- tenfive, the refult of this mode of reafoning is moral certainty ; and could the induction be made complete, it would be abfolute certainty, equally convincing with mathematical demonftration. But however numerous and extenlive the obfervations and experiments may be upon which an induftive conclufion is eftablifhed, they muft of neceffity come ftrort of the number and extent of nature j which, in fome cafes, by its im- menfity, will defeat all poflibility of their co-exten- fion 5 and in others, by its diftance, lies out ef the reach of their immediate application. Though truth does not appear in all other departments of learning with that bold and refiftlefs conviflion with which it prefides in the mathematical fcience, it Ihines through them all, if not interrupted by prejudice or perverted by error, with a clear and ufeful, though inferior ftrength. And as it is not neceffary for the general fafety or convenience of a traveller, that he ftiould al¬ ways enjoy the heat and fplendor of a mid-day fun, whilft he can with more eafe purfue his journey under the weaker influence of a morning or an evening ray j To it is not requifite, for the various concerns and pur- pofes of life, that men ftiould be led by truth of the moft redundant brightnefs. Such truth is to be had only in thofe fciences which are converfant about ideas and their various relations ; where every thing being certainly what it appears to be, definitions and axioms arife from mere intuition. Here fyllogifm takes up the procefs from the beginning j and by a fublime intellec¬ tual motion advances from the fimpleft axioms to the moft complicated fpeculations, and exhibits truth fpringing out of its firft and pureft elements, and fpread- ing on all fides into a fyftem of fcience. As each ftep in the progrefs is fyllogiftic, we (hall endeavour to ex¬ plain the ufe and application of fyllogifms in this fpe- 1;09 cies of reafoning. Gf reafon- We have feen, that in all the different appearances ing by a they put on, we ftill arrive at a juft and legitimate con- G^u^on ’ now ^ °ften happens, that the conclufion of loc'ifms y " one becomes a previous propofition in ano¬ ther j by which means great numbers of them are fometimes linked together in a feries, and truths are I c. Part 111, made to follow one another in a train. And as in fuch Of a concatenation of fyllogifms all the various ways of Reafoning. reafoning that are truly conclufive may be with fafety ^ introduced j hence it is plain, that in deducing any truth from its firft principles, efpecially where it lies at a confiderable diftance from them, we are at liberty to combine all the feveral kinds of fyllogifms above ex¬ plained, according as they are found beft to fuit the end and purpofe of our inquiries. When a propofition is thus, by means of fyllogifms., colletled from others more evident and known, it is faid to be proved; fo that we may in the general define the proof of a propofition to be a fyllogifm, or feries of fyllogifms, collecting that propofition from known and evident truths. But more particularly, if the fyllogifms of which the proofs confift admit of no premifes but definitions, felf-evident truths, and propofitions already eftablithed, then is the argu¬ ment fo conftituted called a demonf ration ; whereby it appears that demonftrations are ultimately founded on definitions and felf-evident propofitions. II. All fyllogifms whatfoever, whether multiform, or defective, are reducible to pi fyllogifms in fome one of the four figures, not all. Syllogifms of the firft figure, in particular, ’ admit of all pofiible conclufions : that is, any propofi-gUre. tions whatfoever, whether an univerfal affirmative or univerfal negative, a particular affirmative or parti¬ cular negative, which fourfold divifion embraces all their varieties j any one of thefe may be inferred by virtue of fome fyllogifm in the firft figure. By this means it happens that the fyllogifms of all the other figures are reducible alfo to fyllogifms of the firft fi¬ gure, and may be confidered as ftanding on the fame foundation with them. We cannot here demonftrate and explain the manner of this reduction, becaufe it would too much fwell the bulk of this treatife. It is enough to take notice that the thing is univerfally known and allowed among logicians, to whofe writings we refer fuch as defire farther fatisfaCtion in this matter. This then being laid down, it is plain that any de¬ monftration whatfoever may be confidered as compofed of a feries of fyllogifms, all in the firft figure. For, fince all the fyllogifms that enter the demonftration are reducible to fyllogifms of fome one of the four figures; and fince the fyllogifms of all the other fi¬ gures are farther reducible to fyllogifms of the firft figure^ it is evident that the whole demonftration may be refolved into a feries of thefe laft fyllogifms. Let us now, if poflible, difeover the ground upon which the conclufion lefts in fyllogifms of the firft figure ; be¬ caufe, by fo doing, we rhall come at an univerfal prin¬ ciple of certainty, whence the evidence of all demon¬ ftrations in all their parts may be ultimately derived. MI III. The rul es then of the firft figure are briefly The grouik thefe. The middle term is the fubjeft of the majorrf;afon- propofition, and the predicate of the minor. The™^1" ^ major is always an univerfal propofition and the mi- 1 nor always affirmative. Let us now fee what effeCt thefe rules will have in reafoning. The major is an univerfal propofition of which the middle term is the fubjoCf, no compound, AH fyUo- ain fimple M'lniswhat- But this isl>v?rre' ftanding the ruggednefs of its ftyle, has fo much real merit as a fyftem of logic, that it cannot be too diligently ftudied by the young inquirer who wifties to travel by the ftraight road to the temple of Science. Fart HI. L O Of fubjeft, and the predicate of the conclufion the predicate, deafening, jjence {j, appears, that in the major the predicate of the ju' "lf conclufion is always affirmed or denied univerfally of the middle term. Again, The minor is an affirmative pro- pofition, whereof the fubjeftof the conclufion is the i’ub- jedt, and the middle term the predicate. Here then the middle term is affirmed of the fubjedt of the conclufion ; that is, the fubjedl of the conclufion is affirmed to be comprehended under, or to make a part of, the middle term. Thus then we fee what is done in the premifts of a fyllogifm of the firft figure. The predicate of the conclufion is univerfally affirmed or denied of fome idea* The fubjedt of the conclufion is affirmed to be or to make a part of that idea Hence it naturally and un¬ avoidably follows, that the predicate of the conclufion ought to be affirmed or denied of the fubjedt. To il- luftrate this by an example, we (hall refume one of the fyllogifms of the firft chapter. “ Every creature pofiefled of reafon and liberty is ac- “ countable for his adlions : “ Man is a creature poffefled of reafon and liberty : “ Therefore man is accountable for his adtions.” Here, in the firft propofition, the predicate of the conclufion, accountab/enefs, is affirmed of all creatures that have reafon and liberty. Again, In the fecond propofition, man, the fubjedt of the conclufion, is af¬ firmed to be or to make a part of this clafs of crea¬ tures. Hence the conclufion neceflarily and unavoid¬ ably follows, viz. that man is accountable for h» ac¬ tions ; becaufe, if reafon and liberty be that which conftitutes a creature accountable, and man has reafon and liberty, it is plain he has that which conftitutes him accountable. In like manner, where the major is a negative propofition, or denies the predicate of the conclufion univerfally of the middle term, as the minor always afferts the fubjedt of the conclufion t.i be or make a part of that middle term, it is no lefs evident that the predicate of the conclufion ought in this cafe to be denied of the fubjedt. So that the ground of reafoning, in all fyllogifms of the firft: figure, is manifeftly this : “ Whatever may be affirmed uni¬ verfally of any idea, may be affirmed of every or any number of particulars comprehended under that idea.” And again : “ Whatever may be denied univerfally of any idea, may be in like manner denied of every or any number of its individuals.” Thefe two propofitions are called by logicians the diBum de omni, and diBum de nullo; and are indeed the great principles of fyl- logiftic reafoning, inafmuch as all conclufions whatfo- ever reft immediately upon them, or upon propofitions deduced from them. But what adds greatly to their value is, that they are really felf-evident truths, and fuch as we cannot gainfay without running into an exprefs contradiction. To affirm, for inftance, that no man is perfeB, and yet argue that fome men are perfeB ; or to fay that all men are mortal, and yet that fome men are not mortal, is to affert a thing to be and not to be at in the fame time. Bemonftra- IV. And now we may affirm, that, in all fyllogifms fallible m" fiSure’ Premifes are true, the conclu¬ de to ^on mu^ nee^s b® true. If it be true that the pre- truth „nd dicate of the conclufion, whether affirmative or nega- certainty. live, agree univerfally to fome idea $ and if it be alfo true that the fubjeCt of the conclufion is a part of or 4 G I C. - 157 comprehended under that idea 5 then it neceffarily follows, that the predicate of the conclufion agrees alfo R-eafoning. to the fubjeCt. For to aflert the contrary, would be to run counter to fome one of the two principles be¬ fore eftabliffied j that is, it would be to maintain an evident contradiction. And thus we are come at lalt to the point we have been all along endeavouring to eftablilh j namely, that every propofition which can be demonftrated is neceffarily true. For as every de- monftration may be refolved into a feries of fyllo- gifms all in the firft figure j and as in any one of thefe fyllogifms, if the premifes are true, the conclufion muff: needs be fo too ; it evidently follows, that if all the feveral premifes are true, all the feveral conclu¬ fions are fo, and confequently the conclufion alfo of the laft fyllogifm, which is always the propofition to be demonftrated. Now’ that all the premifes of a de- monftration are true, will eafily appear from the very nature and definition of that form of reafoning. A demonftration, as we have faid, is a feries of fyllo¬ gifms, all whofe premifes are either definitions, felf- evident truths, or propofitions, already eftabliflied. Definitions are identical propofitions, wherein we con- neCt the defeription of an idea with the name by which we choofe to have that idea called, and there¬ fore as to their truth there can be no difpute. Self- evident propofitions appear true of themfelves, and leave no doubt or uncertainty in the mind. Propofi¬ tions, before eftabliffied, are no other than conclufions gained by one or more fteps from definitions and felf- evident principles, that is, from true premifes, and therefore muft needs be true. Whence all the pre¬ vious propofitions of a demonftration being, we fee, manifeftly true ; the laft conclufion, or propofition to be demonftrated, muft be fo too. So that demonftra¬ tion not only leads to certain truth, but we have here alfo a clear view of the ground and foundation of that certainty. For as, in demonftrating, we may be faid to do nothing more than combine a feries of fyllogifms together, all refting on the fame bottom ; it is plain that one uniform ground of certainty runs through the whole, and that the conclufions are everywhere built upon fome one of the two principles before eftabliffied, as the foundation of all our reafoning. Thefe two principles are eafily reduced into one, and may be ex- prefled thus : “ Whatever predicate, whether affirma¬ tive- or negative, agrees univerfally to any idea ; the fame muft needs agree to every or any number of indi¬ viduals comprehended under that idea.” And thus at length we have, according to our firft defign, reduced the certainty of demonftration to one fimple and univer- fal principle ; which carries its own evidence along with it, and which is indeed the ultimate foundation of all fyllogiftic reafoning. t V. Demonftration therefore ferving as an infallible The rules guide to truth, and therefore on fo fure and unaltera-of logic fur- ble a bafis, we may now venture to aflfert, that the a rules of logic furnifti a fufficient criterion for the dif- Hon'fbr'the tinguifliing between truth and* falfehood. For fince every propofition that can be demonftrated is necef-ing bet ween farily true, he is able to diftinguiffi truth from falfe-truth and hood who can with certainty judge when a propofi-Ial^00^» tion is truly demonftrated. Now, a demonftration is, as we have faid, nothing more than a concatenation of fyllogifms, all whofe premifes are definitions, felf- evident-; H4 and ex¬ tending to all cafes where a certain knowledge of truth is attainable. ”5 The diftinc tion of de- mon llra- tion into diredl and indiredl. L O evident truth?, or propofitions previoufly eftatlifhed. To judge therefore of the validity of a demonftration, we muit be able to diftinguilh whether the definitions that enter it are genuine, and truly defcriptive of the ideas they are meant to exhibit : whether the pro¬ pofitions aflumed without proofs as intuitive truths have really that felf-evidence to which they lay claim : whether the fyllogifms are drawn up in due form, and agreeable to the laws of argumentation : in fine, whether they are combined together in a juft and or¬ derly manner, fo that no demonftrable propofttions ferve anywhere as premifes unlefs they are conclu- fions of previous fyllogifms. Now, it is the bufinefs of logic, in explaining the feveral operations of the mind, fully to inftruft us in all thefe points. It teaches the nature and end of definitions, and lays down the rules by which they ought to be framed. It unfolds the feveral fpecies of propofitions, and diftinguiflies the felf-evident from the demonftrable. It delineates alfo the different forms of fyllogifms, and explains the laws of argumentation proper to each. In fine, it de- fcribes the manner of combining fyllogifms, fo as that they may form a train of reafwning, and lead to the fucceflive difcovery of truth. 1 he precepts of logic, therefore, as they enable us to judge with certainty when a propofition is duly demonrtrated, furnifh a fure criterion for the diftinguiihing between truth and falfehood. VI. Perhaps it may be obje&ed, that demonftra¬ tion is a thing very rare and uncommon, as being the prerogative of but a few fciences, and therefore the criterion here given can be of no great ufe. . But wherever, by the bare contemplation of our ideas, truth is difcoverable, there alfo demonftration may be attained. Now that is an abundantly fufficient crite¬ rion which enables us to judge with certainty.in all cafes where the knowledge of truth comes within our reach ; for with difcoveries, that lie beyond the li¬ mits of the human mind, we have, properly, no bufi¬ nefs or concernment. When a propofition is demon- 11 rated, we are pertain of its truth. When, on the contrary, our ideas are fuch as have no vifible connec¬ tion or repugnance, and therefore furnifh not the pro¬ per'means of tracing their agreement or difagreement, there we are fure that fcientifical knowledge is not attainable. But where there is fome foundation, of reafoning, which yet amounts not to the full evidence of demonftration, there the precepts of logic, by teaching us to determine aright of the degree of proof, and of what is ftilPwanting to render it full and complete, enable us to make a due eftimate of the meafures of probability, and to proportion our affent to the grounds on which the propofition Hands. And this is all we can poflibly arrive at; or even fo much as hope for, in the exercife of faculties fo im- perfeft and limited as ours. VII. Before we conclude this chapter, it may not be improper to take notice of the diftinftion of demon- ft rat ion into direB and indireB. A direB demonjlration is, when, beginning with definitions, felf-evident pro¬ pofitions, or known and allowed truths, we form a train of fyllog-fms, and combine them in an orderly manner, continuing the feries through a variety of (uo ceflive fteps, until at 1ft we arrive at a fyllogifm whofe conclufion is the propofition to be demonftrated. Proofs 2 G I C. • Part III. of this kind leave no doubt or uncertainty behind Of them ; beeaufe, all the feveral premifes being true, the ReafoninS- conclufions muft be fo too, and of courle the very laft " v~' ^ conclufion or propofition to be proved. I lie other fpecies of demonftration is the indireB, or, as it is fometimes called, the apogogical. The manner of pro¬ ceeding here is, by aliuming a propofition vhich di¬ rectly contradicts that we mean to dempnftrate ; and thence, by a continued train of reafoning, in the way of a direCt demonftration, deducing fome ablurdity or manifeft untruth. For hereupon we conclude, that the propofition affumed was falfe ; and thence again, by an immediate confequence, that the propofition to be demonftrated is true. Thus Euclid, in his third book, being to demonftrate that circles which touch one another inwardly have not the Janie centre^ aflumes the direCt contrary to this, viz. that they have the fame cen¬ tre ; and thence, by an evident train of reafoning, proves that a part is equal to the whole. 1 he fuppofi- tion therefore leading to this abfurdity he concludes to be falfe, viz. that circles touching one another inwardly have the fame centre; and thence again immediately in¬ fers, that they have not the fame centre. . > n6 VIII. Now, becaufe this manner of demonftration is Ground of accounted by fome not altogether fo clear and fatisfac-reafoning tory ; we {hall therefore endeavour to ftiow, that itc)e^nfl;ri. equally with the other leads to truth and certainty.tjons> Two propofitions are faid to be contradiBory one of another, when that which is aflerted to be in the one is affei .ed not to be in the other. Thus the propofi¬ tions, Circles that touch one another inwardly have the fame centre, and Circles that touch one another inwardly have not the fame centre, are contradictories, becaufe the fecond afferts the direCt contrary of what is afferted in the firft. Now, in all contradictory propofitions, this holds univerfally, That one of them E neceffarily true, and the other neceffarily falfe. Xor it it be true, that circles which touch ene another inwardly have not the fame centre ; it is unavoidably falfe that they have the fame centre. On the other hand, if it be falfe that they have the fame centre, it is neceffarily true that they have not the fame centre. Since therefore it is impoflible for them to be both true or both fali.e at the fame time, it unavoidably follows, that one is neceffarily true, and the other neceffarily .falfe. . This then being allowed, which is indeed felf-evident; if any two contradictory propofitions are aflumed, and one of them can by a clear train of reafoning be demonftrat¬ ed to be falfe, it neceffarily follows that the other is true. For as the one is neceffarily true, and the ether necef¬ farily falfe; when we come to difcover which is the falfe propofition, we thereby alfo know the other to be. true. 117 IX. Now this is precifely the manner of an indireCt Indiredt de- demonftration, as is evident from the account given of™0^3^ it above. For there we affume a propofition which di-^;^ t0 reCtly contradicts that v'e mean to demonftrate ; and,certainty, having by a continued feries of proofs fhown it to be falfe, thence infer that it is contradictory, or the pro¬ pofition to be demonftrated, is true. As, therefore, this laft conclufion is certain and unavoidable, let us next inquire after wdiat manner we come to be fatisfied of the falfehood of the affumed propofition, that fo no poflible doubt may remain as to the force and validity of demonftration of this kind. The manner then is plainly this: Beginning with the affumed propofition, Part IV. L O Of Method, we, by the help of definitions, felf evident truths, or propofitions already eftablifaed, continue a feries of reafoning, in the way of a direft demonfiration, until at length we arrive at fome abfurdicy or known falfe- hood. Thus Euclid, in the example before mention¬ ed, from the fuppofition that circles touching one an¬ other inwardly have the fame centre, deduces that a part is equal to the whole. Since, therefore, by a due and orderly procefs of reafoning, we come at lait to a falfe conclufion j it is manifeft, that all the premifes cannot be true : for, were all the premifes true, the lait conclufion mull be fo too, by what has been be¬ fore demonilrated. Now, as to all the other premifes made ufe of in the courfe of reafoning, they are mani- fefl: and known truths by fuppofition, as being either definitions, felf-evident propofitions, or truths previ- oufly eftablifhed. The afl'umed propofition is that on¬ ly as to which any doubt or uncertainty remains. That alone, therefore, can be falfe ; and indeed, from what has been already fhown, mull unavoidably be fo. And thus we fee, that in indirect demonltrations, two contradictory propofitions being laid down, one of which is demonftrated to be falfe, the other, which is always the propofition to be proved, mult necelTarily bS true j fo that here, as well as in the direCt way of proof, we arrive at a clear and fatisfaftory knowledge tlg of truth. A particu- X. This is univerfally the method of reafoning in all hr cafe af apogogical or direft demonftrations. But if any pro- ^e" pofition is affumed, from which, in a direCt train of reafoning, we can deduce its contradictory j the pro¬ pofition fo aflumed is falfe, and the contradictory one true. For if we fuppofe the affumed propofition to be true, then, fince all the other premifes that enter the demonftration are alfo true, we (hall have a feries of reafoning cpnfifting wholly of true premifes ; whence the lalt conclufion or contradictory of ihe affumed pro¬ pofition mult be true likewife \ fo that by this means we fhould have two contradictory propofitions both true at the fame time, which is manifeltly impoffible. The affumed propofition, therefore, whence this abfur- dity flows, mult neceffarily be falfe ; and confequently its contradictory, which is here the propofition deduced from it, mult be true. If then any propofition is pro- pofed to be demonltrated, and we ajjfume the contra- diBory of that propofition, and thence direCtly infer the propofition to be demonfirated ; by this very means we know that the propofition fo inferred is true. For, fince from an aflumed. propofition we have deduced its contradictory, we are thereby certain that the affumed propofition is falie \ and if fo, then its contradictory, or that deduced from it, which in this cafe is the fame with the propblition to be demonltrated, mult be true. Hops. C I C. i59 XI. We have a curious infiance of this in the twelfth Of Method, propofition of the ninth book of the Elements. Eu- clid there propofes to demonftrate, that in any feries ^ jue9 of numbers, rijing from unity in geometrical progref- knowledge Jion, all the prime numbers that meaftre the lajl term of the prin- in the feries will alfo meafure the next after unity. In CIP1^cf k>- order to this, he affumes the contradictory of the pro- pofxtion to be demonltrated ; namely, that fame prime neceffary to number meafuring the lajl term in the Jenes does not make us meafure the next after unity; and thence, by a conti- proper nued train of reafoning, proves that it aCtually does meafure it. Hereupon he concludes the affumed pro- tion . pofition to be falfe ; and that which is deduced from it, or its contradictory, which is the very propofition he propofed to demonltrate, to be true. Now that this is a juft and conclufive way of reafoning, is abundant¬ ly manifelt from what we have fo clearly eftablilhed above. Whence it-appears, how neceffary fome know¬ ledge of the rules of logic is, to enable us to judge of the force, juitnefs, and validity, of demonftrations. For, though it is readily allowed, that by the mere ftrength of our natural faculties we can at once difeern, that of two contradictory propofitions, the one is neceffarily true, and the other neceffarily falfe ; yet when they are fo linked together in a demonfiration, as that the one ferves as a previous propofition whence the other is de¬ duced, it does not fo immediately appear, without fome knowledge of the principles of logic, why that alone, - which is collected by reafoning, ought to be embraced as true, and the other, whence it is collected, to be re¬ jected as falfe. i2Q XII. Having thus fufficiently evinced the certainty and of it- of demonftration in all its branches, and ftiown the rules ‘ell fuffi- by which we ought to proceed, in order to arrive at a CIem t0 a juft conclufion, according to the various ways of aitgu- ing made ufe of; it is needlefs to enter upon a particu- and falfe lar confideration of thofe feveral fpecies of falfe reafon-reafoning. ing which logicians diftinguilh by the name of fophifms. He that thoroughly underltands the form and ftruc- ture of a good argument, will of himfelf readily dif¬ eern every deviation from it. And although fophifms have been divided into many claffes, which are all called by fotmding names, that therefore carry in them much appearance of learning ; yet are the errors themfelves fo very palpable and obvious, that it would be loit labour Co write for a man capable of being mif- led by them. Here, therefore, we choofe to conclude this part of logic : and (hall in the next give fome ac¬ count of Method, which, though infeparable from rea¬ foning, is neverthelefs always confidered by logicians as a diftinft operation of the mind ; becaufe its influ¬ ence is not confined to the mere exercife of the reafon¬ ing faculty, but extends in fome degree to all the tranfaftions of the underltanding. PART IV. OF METHOD, 711 The under- WE have now done with the three firft operations of Handing the mind, whofe office it is to fearch after truth, and ern^lo'ecT en^arSe ^ie hounds of human knowledge. There is inputting yet a*fourth, which regards the difpofal and arrange- together . merit of our thoughts, when we endeavour fo to put known them together as that their mutual connexion and de- tiuths; ° pendence may be clearly feen. This is what logicians called Method, and place always the laft in order in ex¬ plaining the powers of the underftanding j becaufe it neceffarily fuppofes a previous exercife of our other fa¬ culties, and fome progrefs made in knowledge before we can exert it in any extenfive degree, • II. In illuftrated 160 LOG Of Method. II, Jn this view, it is plain that we muft be before hand well acquainted with the truths we are to combine together j otherwife, how could we difcern their feveral connexions and relations, or fo difpofe of them as their mutual dependence may require ? But it often happens, that the underftanding is employed, not in the arrangement and compofition of known truths, but in the fearch and difcovery of fuch as are un¬ known. And here the manner of proceeding is very different. We affemble at once our whole flock of knowledge relating to any fubjeX, and, after a ge¬ neral furvey of things, begin with examining them fe* parately and by parts. Hence it comes to pafs, that whereas, at our firfl fetting out, we were acquainted only with fome of the grand flrokes and outlines of truth ; by thus purfuing her through her feveral wind- ings and receffes, we gradually difcover thofe more inward and finer touches whence fire derives all her ftrength, fymmetry, and beauty. And here it is, that when, by a narrow fcrutiny into things, we have un¬ ravelled any part of knowledge, and traced it to its firfl and original principles, infomuch that the whole frame and contexture of it lies open to the view of the mind j here it is, that, taking it the contrary way,.and beginning with thefe principles, we can fo adjull and put together the parts as the order and method of fcience requires. III. But as thefe things are bell underflood when il- kv the fimi-luflrated by examples, let us fuppofe any machine, for litude of a inflance a w atch, prefented to us, whofe flruXure and watch‘ compofition we are as yet unacquainted with, but want, if poflible, to difcover. The manner of pro¬ ceeding, in this cafe, is, by taking the whole to pieces, and examining the parts feparately, one after another. When, by fuch a fcrutiny, we have thoroughly in¬ formed ourfelves of the frame and contexture of each, we then compare them together, in order to judge of their mutual aXion and influence. By this means we gradually trace out the inward make and compofition of the whole, and come at length to difcern how parts of fuch a form, and fo put together as we found in unravelling and taking them afunder, conftitute that particular machine called a watch, and contribute to all the feveral motions and phenomena obfervable in it. This difcovery being made, we can take things the contrary way, and, beginning with the parts, fo difpofe and conneX them as their feveral ufes and ftruc- tures require, until at length we arrive at the whole itfelf, from the unravelling of which thofe parts re- 124 fulted. Ground of IV. And as it is in tracing and examining the works the analytic of art • fo is it, in a great meafure, in unfolding any and fynthe- part u£ human knowledge : for the relations and mu- iicmethods. tuaj habitudes of things do not always immediately ap-, pear upon comparing them one with another. Hence we have recourfe to intermediate ideas ; and, by means of them, are furniflied with thofe previous propofitions that lead to the conclufion we are in quell of. And if it fo happens that the previous propofitions them- felves are not fufficiently evident, we endeavour, by new middle terms, to afcertain their truth } Hill tracing things backward, in a continual feries, until at length we arrive at fome fyllogifm where the premifes are firft and felf-evident principles. This done, we become perfeXly fatisfied as to the truth of all the conclafions I c. Part IV. inafmuch as they are now Of Methed. we have paffed through, feen to Hand upon the firm and immoveable founda tion of our intuitive perceptions. And as we arrived at this certainty by tracing things backward to the original principles whence they flow ; fo may we at any time renew it by a direX contrary procefs, if, be¬ ginning with thefe principles, we carry the train of our thoughts forward until they lead us, by a con- neXed chain of proofs, to the very laft conclufion of the feries. ' .125 V. Hence it appears, that, in difpofing and putting Divifion of together our thoughts, either for our own ufe, that the method in. difcoveries we have, made may at all times lie open to^nfalytic the review of the mind, or where we mean to commu-ynthe' nicate and unfold the difcoveries to others, there are two ways of proceeding equally within our choice : for we may fo propofe the truths relating to any part of knowledge, as they prefented themfelves to the mind in the manner of inveiligation j carrying on the feries of proofs, in a reverfe order, until they at lall termi¬ nate in firll principles : or, beginning with thefe prin¬ ciples, we may take the eontrary way, and from them deduce, by a direX train of reafoning, all the feveral propofitions we want to eftablifli. This diverfity in the manner of arranging our thoughts gives rife to the twofold divifion of method etlablilhed among logi¬ cians : for method, according to their ufe of the word, is nothing elfe but the order and difpofition of our thoughts relating to any fubjeX. When truths are fo propofed and put together as they were or might have been difcovered, this is called the analytic method, or the method of refolution; inafmuch as it traces things back¬ ward to their fource, and refolves knowledge into its firlt and original principles. When, on the other hand, they are deduced from thefe principles, and conneXed according to their mutual dependence, infomuch that the truths firft in order tend always to the demonftra- tion of thofe that follow 5 this conftitutes what we call the fynthetic method or method of compoftion. For here we proceed by gathering together the feveral fcatter- ed parts of knowledge, and combining them into one whole or fyftem, in fuch manner that the underftand- ing is enabled diftinXly to follow^ truth through all her different ftages and gradations. I2(j VI. There is this farther to be taken notice of, in(]a}iedo- relation to thefe two fpecies of method ; that the firft therwife has alfo obtained the name of the method of invention,the method becaufe it obferves the order in which our thoughts fucceed one another in the invention or difcovery of the method truth. The other, again, is often denominated the0ffcience. method of doSirine or mfrvBion ; inafmuch as, in laying our thoughts before others, w’e generally choole to proceed in the fynthetic manner, deducing them from their firft principles. For w’e are to obferve, that al¬ though there is great pleafure in purfuing truth in the method of inveftigation, becaufe it places us in the condition of the inventor, and (hows the particular train and procefs of thinking by which he arrived at his difcoveries j yet it is not fo well accommodated to the purpofes of evidence and conviXion. For, at our firft fetting out, we are commonly unable to divine where the analyfis will lead us ; infomuch that our re- fearches are for fome time little better than a mere groping in the dark. And even after light begins to break in upon us, .we are ftill obliged to many reviews, atid ^artlV. LOGIC. 161 )f Method, and a frequent comparifon of the feveral fteps of the —inveftigation among themfelves. Nay, when we have unravelled the whole, and reached the very foundation on which our difcoveries Hand, all our certainty, in re¬ gard to their truth, will be found in a great meafure to arife from that connexion we are now able to difcern between them and firft principles, taken in the order of compofkion. But in the fynthetic manner of difpo- » ling our thoughts, the cafe is quite different: for as we here begin with the intuitive truths, and advance by regular deductions from them, every ftep of the procedure brings evidence and conviction along with it j fo that, in our progrefs from one part of know¬ ledge to another, we have always a clear perception of the ground on which our affent refts. In communi¬ cating therefore our difcoveries to others, this method is apparently to be chofen, as it wonderfully improves and enlightens the underitanding, and leads to an im¬ mediate perception of truth. VII. The logic which for fo many ages kept pof- feflian of the fchools, and was deemed the moll im¬ portant of the fciences, has long been condemned as a mere art of wrangling, of very little ufe in the purfuit of truth. Attempts have been made to reftore it to credit, but without fuccefs j and of late years little or no attention whatever has been paid to the art of rea- fonivg in the courfe of what is called a liberal education. As both extremes may be faulty, it Ihould feem that we cannot conclude this Ihort treatife more properly than -with the following Reflections on the Utility of Logic. If Ariftotle was not the inventor of logic, he was certainly the prince of logicians. The whole theory of fyllogifms he claims as his own, and as the fruit of much time and labour ; and it is univerfally known, that the later writers on the art have borrowed their materials almoft entirely from his Organon and Por¬ phyry’s Introdu£tion. But after men had laboured near 2000 years in fearch of truth by the help of fyl¬ logifms, Lord Bacon propofed the method of induc¬ tion, as a more effeflual engine for that purpofe j and fince his days the art. of logic has gradually fallen in¬ to difrepute. To this confequence many caufes contributed. The art of fyllogifm is admirably calculated for wrangling j and by the fchoolmen it was employed wdth too much fuecefs, to keep in countenance the abfurdities of the Romilh church. Under their management it pro¬ duced numberlefs difputes, and numberlefs fefls, who fought againft each other with much animofity with¬ out gaining or lofing ground ; but it did nothing con- fi ierable for the benefit of human life, w hilft the me¬ thod of induflion has improved arts and increafed knowledge. It is no wonder, therefore, that the ex- ceffive admiration of Ariftotle, which continued for fo many ages, (hould end in an undue contempt : and that the high efteem of logic, as the grand engine of fcience, ftiould at laft make way for too unfavourable an opinion, which feems now prevalent, of its being unworthy of a place in a liberal education. Men rare¬ ly leave one extreme without running into the contrary : Thofe who think according to the faftiion, will be as prone to go into the prefent extreme as their grand- tathers were to go into the former 5 and even thev who Vol. XII. Part I. in general think for themfelves, when they are offend- Of Method, ed at the abufe of any thing, are too apt to entertain —v—' prejudices againft the thing itfelf “ In praftice (fays the learned Warburton *), logic is more a trick than * jntrociUc a fcience, formed rather to amufe than to inftruft. tion t0 yJ(~ And in fome fort we may apply to the art of fyllogifm Han, &.c, what a man of wit fays of rhetoric, that it only tells us howr to name thofe tools which nature had be¬ fore put into our hands. In the fervice of chicane, in¬ deed, it is a mere juggler’s knot, now faft, now loofe j and the fchools where this legerdemain was exercifed in great perfection are full of the ftories of its wonders.” The authority of Warburton is great 5 but it may be counterbalanced by another, which, on fubjeCts of this nature, is confeffedly greater. “ Laying afi.de prejudice, whether faftvionable or unfaftiionable, let us confider (fays Dr Reid f) whe- f Appendix ther logic is or may be made fubfervient to any goodfo Lord purpofe. Its profeffed end is, to teach men to think, Karnes's to judge, and to reafon, with precifion and accuracy. JNo man will lay this is a matter or little importance • piesan^ the only thing therefore that can admit of doubt is, Progrefs of whether it can be taught ? Reafon. “ To refolve this doubt, it may be obferved, that our rational faculty is the gift of God, given to men in very different meafures : Some have a larga portion, fome a lefs j and w here there is a remarkable defeft of the natural power, it cannot be fupplied by any culture. But this natural power, even where it is the ftrongeft, may lie dead for want of the means of improvement. Many a favage may have been bom with as good faculties as a Newton, a Bacon, or an Arifotle; but their talents were buried by having never been put to ufe, whilft; thofe of the philofophers were cultivated to the beft advantage. It may likewife be obferved, that the chief mean of improving our ration¬ al power, is the vigorous exercife of it in various ways and on different fubjects, by which the habit is ac¬ quired of exercifing it properly. Without fuch ex¬ ercife, and good fenfe over and above, a man who has ftudied logic all his life may be only a petulant wrang¬ ler, without true judgment or Ikill of reafoning in any fcience.” This muft have been Locke’s meaning, when in his Thoughts on Education, he fays, “ If you w ould have your fon to reafon w'ell, let him read Chillingworth.” The ftate of things is much altered fince Locke wrote : Logic has been much improved chiefly by his writings $ and yet much lefs ftrefs is laid upon it, and lefs time confumed in its ftudy. His council, therefore, was ju¬ dicious and feafonable; to wit, That the improvement of our reafoning power is to be expected much more from an intimate acquaintance with the authors who reafon beft, than from ftudying voluminous fyftems of fchool logic. But if he had meant, that the ftudy of logic was of no ufe, nor deferved any attention, ho furely would not have taken the pains to make fo con- fiderable an addition to it, by his EJfay on the Human Underfunding, and by his Thoughts on the conduB of the Underfunding; nor w'ould he have remitted his pupil to Chillingworth, the acuteft logician as well as the beft reafoner of his age.” There is' no ftudy better fitted to exercife and ftrengthen the reafoning powers than that of the ma¬ thematical fciences j becaufe there is no other branch X «f ' 162 / ^® ^ Of Method, of fcience whlcli gives fucli fcope to long and accurate trains of reafoning, or in which there is fo little room for authority or prejudice of any kind to give a falfe bias to the judgment. When a youth of moderate parts begins to ftudy Euclid, every thing is new to him : His apprehenfion is unfteady j his judgment is feeb e j and refts partly "upon the evidence of the thing, and partly upon the authority of his teacher. But every time he goes over the definitions, the axioms, the elementary propofitions, more light breaks in upon him *, and as he advances, the road of demonftration becomes fmooth and eafy •, he can walk in it firmly, and take wider Heps, till at laft he acquires the habit not only of un¬ der ftanding a demonftration, but of difcovering and demonftrating mathematical truths. It muft indeed be confeffed, that a man ■without the rules of logic may acquire a habit of reafoning juftly in mathematics, and perhaps in any other fcience. Good fenfe, good examples, and afliduous exercife, may bring a man to reafon juftly and acutely in his own profeflion without rules. But whoever thinks, that from this conceflion he may infer the inutility of logic, betrays by this inference a great want of that *rt; for he might as well infer, becaufe a man may go from Edinburgh to London by the way of Paris, that therefore any other road is ufelefs. # There is perhaps no art which may not be acquired, in a very confiderable degree, by example and prac¬ tice, without reducing it to rules. But praftice joined with rules may carry a man forward in his art far¬ ther and more quickly than practice without rules.—- Every ingenious artift knows the utility of having his art reduced to rules, and thereby made a fcience. By- rules he is enlightened in his practice, and^ works with more aflurance. They enable him fometimes to cor- re£t his own errors, and often to deleft the eriors of others ; and he finds them of great ufe to confirm his judgment, to juftify what is right, and to condemn what is wrong. Now mathematics are the noble ft of logic. Through them we may perceive how the fta- ted forms of fyllogifm are exemplified in one fubjeft, namely the predicament of quantity and by marking the force of thefe forms, as they are there applied, we may be enabled to apply them of ourfelves elfewhere. Whoever, therefore, will ftudy mathematics with this view, will become not only by mathematics a more ex¬ pert logician, and by logic a more rational mathematician, but a wifer philofopher, and an acuter reafoner, in. ail the poflible fubjefts either of fcience or deliberation. But when mathematics, inftead of being applied to this excellent purpofe, are ufed not to exemplify logic, but to fupply its place, no wonder if logic fall into contempt ", and if mathematics, inftead of furthering fcience, become in faff an obftacle. For when men, knowing nothing of that reafoning which is univerfal, come to attach themfelves for years to s. ftngle fpecies, a fpecies wholly involved in lines and numbers, the mind becomes incapacitated for reafoning at large, and efpecially in the feareh of moral truth. The objedt of mathematics is demonjlration ,■ and whatever in that fcience is not demonftration, is nothing, or at leaft be¬ low the fublime inquirer’s regard. Probability, through its almoft infinite degrees, from fimple ignorance up to abfolute certainty, is the terra incognita of the ma¬ thematician. And yet here it is that the great bufinefs I C Part IV. of the human mind Is carried on in the fearch and Of Method, difeovery of all the important truths which concern us * as reafonable beings. And here too it is that all its vigour is exerted: for to proportion the affent to the probability accompanying every varying degree of moral evidence, requires the moft enlarged and fove- reign exercife of reafon. In reafonings of this kind, will any man pretend that it is of no ufe to be well acquainted with the va¬ rious powers of the mind by which we realon ? Is it of no ufe to refolve the various kinds of reafoning in¬ to their fimple elements j and to difeover, as far as we are able, the rules by which thefe elements are com¬ bined in judging and in reafoning ? Is it of no ufe to mark the various fallacies in reafoning, by which even the moft ingenious men have been led into error ?. It muft furely betray great want of underftanding to think thefe things ufelefs or unimportant. Now thefe are the things which logicians have attempted \ and which they have executed—not indeed fo completely as to leave no room for improvement, but in iuch a manner as to give very confiderable aid to our reafoning powers. That the principles they have laid down with regard to definition anddivifion, with regard to the converfion and oppofition of propofitions, and the general rules of reafoning, are not without uie, is fufficiently apparent from the blunders committed daily by thofe who dif- dain any acquaintance with them. Although the art of categorical fyllogifm is confef- fedly little fitted for the difeovery of unknown truth, it may yet be employed to excellent purpofes, as it is perhaps the moft compendious method of dete&ing a fallacy. A man in queft of unknown truths muft ge¬ nerally proceed by the way of indudlion, from effefts to caufes ; but he who as a teacher is to inculcate any fyftem upon others, begins with one or more felf-evi- dent truths, and proceeds in the way of demonftration, to the conclufion which he wifties to eftablifti. Now every demonftration, as has been already obferved, may be refolved into a feries of fyllogifms, of which the conclufion of the precedixg always enters into the pe- mifes of that which follows : and if the firft principles be clear and evident, and every fyllogifm in fome le¬ gitimate mode and figure, the conclufion of the whole muft infallibly be admitted. But when the demon¬ ftration is thus broken into parts if we find that the conclufion of one fyllogifm will not, without altering the meaning of the terms, enter legitimately into the premifes of that which ftvould immediately follow j or, fuppofing it to make one of the premifes of a new fyl¬ logifm, if we find that the conclufion refulting from the whole feries thus obtained, is different from that of the demonftration *, we may, in either of thefe cafes, reft affured that the author’s reafoning is fallacious, and leads to error j and that if it carried an appear¬ ance of conviction before it was thus refolved into its elementary parts, it muft have been owing to the ina¬ bility of the mind to comprehend at once a long train of arguments. Whoever wifties to fee the fy llogiftic art employed for this purpofe, and to be convinced of the truth of what we have faid.refpetfting its utility, may confult the excellent writer recommended by Locke, who, in places innumerable of his Incompar¬ able book, has, without pedantry, even in that pe¬ dantic age, made the happieft application of the rules of Part IV. L O )f Method, of logic for unravelling the fophiftry of his Jefuitical — vantagonift. Upon the whole, then, though we readily acknow¬ ledge that much time was wafted by our forefathers in fyllogiftic wrangling, and what might with little G I C. 163 impropriety be termed the mechanical part of logic j Of Method. yet the art of forming and examining arguments is cer- ‘-“-"Y"”—' tainly an attainment not unworthy the ambition of that being whofe higheft honour is to be endued with rea- fon. Logiftse, hologra¬ phy- LOG LOGISTiE, certain officers at Athens, in number ten, whofe bufmefs confifted in receiving and paffing the accounts of magiftrates when they went out of office. The logijlce w-ere ele£ted by lot, and had ten euthyni or auditors of accounts under them. LOGOGRAPHY, a new method of printing, in which the types, inftead of anfwering only to Angle let¬ ters, are made to correfpond to whole words. This method, though feemingly a retrograde procef- fion in the printing art, has lately obtained the fanc- tion of his majefty’s patent, and hasforfome time been aftually put in execution in the way of trade, apparent¬ ly with advantage to the proprietors. In the year 1783, a treatife upon this fubjeft appeared by Henry Johnfon, in which the origin as well as the utility of the art are fully laid down, and the matter fet forth infuch a light as can fcarce allow us to doubt that it is an improve¬ ment in the art. Mr Johnfon informs us, that about five years before, viz. in the year 1778, intending to publifh a daily lift of blanks and prizes in the lottery numerically arranged, he found it could not be accom- pliihed in time by the ordinary way of printing. On this account he procured types of two, three, or more figures as was neceffary for his purpofe j and thus any entire number might as readily be taken up as if it had been a Angle type. His next attempt was in forming fome large mercantile tables of pounds, (hillings, pence, and farthings. For thefe he procured types expreffive of any fum of money ready compofed and united, “ by which (fays he) every fpecies of Agure-printing could be performed- for the tenth part of the coft, printers always charging it double the price of letter-print¬ ing.” Having thus fucceeded to his wiffi in his two Arft attempts, he next began to conAder if the me¬ thod could not be applied to words ; and in this alfo the fuccefs was equal. The properties of the logographic art, according to our author, are, 1. That the compoAtor (hall have lefs charged upon his memory than in the common way. 2. It is much lefs liable to error. 3. The type of each word is as eaAly laid hold of as that of a Angle letter. 4. The decompoAtion is much more readily performed, even by the mereft novices, than they now decompofe letters. 5. No extraordinary expence nor greater num¬ ber of types is required in the lagographic than in the common method of printing. The Arft of thefe pofttions is proved by our author in the following manner. In the common method, the compoAtor has 150 diviAons to which there is no reference, and the printing offices are not agreed with refpedl to the mode of placing their boxes j “ but under this improvement he has only to know the letters of the alphabet, and is affifted with an index LOG of them, infomuch that the Amplicity of the latte* Logogra- apparatus enables him, by a little praftice, to lay his i Pfy* Anger almoft blindfold on the word required 5 and the v meaneft capacity is equal to this mental _ exercife, having little more to do than knowing by infpeftion the difference between words under three and thofe above three fyllables j and all the apparatus being within a compafs not a great deal more extended than common printing, for thefe reafons he is as foon pof- feffed of his type of a word as they are of a Angle letter.” Thus the Arft and third poAtions may be faid to be proved $ but in his proof of the fecond, our author himfelf (hows that his art is not infallible, by fubftitut- ing the word third inftead of fecond. Subftitutions of this kind, he owns, may readily take place ; but fuch errors are much more confpicuous than literal ones, though they may be correfted with equal eafe 5 “ for the erroneous fubftitution cannot fail of being nearly equal in length to the word required ; although, even otherwife. it would not be attended with greater difad- vantage tiian in the common way, and it would be rec- tifted with greater facility.” The eafe with which the compoQtion is performedr (hows that there muft be an equal eafe in performing the decompoAtion j “ from whence (fays Mr Johnfon) it is further demonftrable, that any work can be com¬ pofed by this method nearly as foon as it can be deli¬ berately read; and as to the Afth poAtion, that it (hall not require a greater expence of types, it is anfwered, that it is impeffible for more types of letters to be want¬ ed for this method than by any other printer according to the equal quantity of bufmefs to be performed, every office having certain known quantities of each letter called a fount. A printer’s fount contains about 92,500 letters, and our want is not more j nay, nearer the truth, the prefent quantity for a fount containing much more of (bme letters than neceffary, and fewer of others } which arifes from the calculation of the quantity of each letter wanted being adhered to Ance the old fpelling.” Our author now proceeds to demonftrate that the number of types muft neceffarily decreafe as they are combined in fyllables, and much more when formed into words. The whole art of arranging the words conftfts in placing them under as few diviAons as pcf- Able, and (till fewer fubdiviftons 3 which is attained by the following procefs. 1. A collection of words, with the addition of tenfes, plurals, and degrees of comparifon, amounting to more than 100,000, was made from the beft Englifti dictionaries: 2. Collections were made from the mifcellaneous part X 2 cff Log off ra- phy. LOG [i of 20 newfpapers, the Speftator, and Common Prayer- book. The method was, by procuring duplicates of every fheet, lb that each alternate fide might be palled over with white paper, in order to leave the whole of the words on both fides perfeft $ and thus the whole might be touched with lefs danger of injury than other- wife could have been done. The confufion arifing from the parts of other words being feen from the oppc lite fide was likewife prevented, v 3. The words, being feparately cut out, were then put into a cafe marked with the divifions from one to 16, according to the number of letters contained in each word. Thus feveral letters were diftindily col- ledled ; and then each feparate parcel forted in a cafe containing 26 divifions, marked with the letters of the alphabet, according to the commencing letter of the word $ and thus all the words were ranged alpha¬ betically, confifting of two, three, four, or five letters, in feparate parcels. 4. The fame words were then placed together, and polled into an alphabet, with the number of times marked to each that had occurred on the whole; that in this manner a proportion might be determined how many times particular words ought to be repeated for the printing of one Iheet, and alfo to know what words are in general ufe : There are likewife a num¬ ber of technical terms, and favourite phrafes, a great number of times repeated almoft by every author ; but though thefe occur throughout the whole book in great proportion to the reft, no more of them will be neceffary than what fuffice for a fingle fheet. 5. The whole of the above might be done without the trouble juft mentioned, by polling every word at once into a triformed alphabet j becaufe the fubdivi- fions of the fecond and third commencing letter of each word for references are now obtained, and thus can eafily be placed in its proper divifion, and may be marked as often as it occurs, ivithout repeating the fame word ; whence we plainly fee the cafe and expe¬ dition of it, from the facility and expedition of polling every word from a leaf in any book. Before fuch fub- divifions were known, they could only have been pla¬ ced under the firft commencing letter of the word j which would caufe fuch a multiplicity of "repetitions, that it would take up more time, be far more liable to error, and require more fubordinate pollings to bring them into arrangement •, fo that they may be found more eafily than by the above proceedings. Thus alfo a colleflion will be obtained of fingle and double w’ords, which are conftantly required from 20 to 400 or 500 times in the printing one Iheet of any work whatever; and Avhich alone would abridge the compofi- tor’s w'ork near one-third. This fecond procefs like- wife enabled the author to rejefl, out of the firft col- le6lion, obfolete words, technical terms, &c. which re¬ duces the original colle£lion to one-fifth paid. 6. By proceeding in this manner, feveral fpecies of words are omitted in the founts. 1. Obfolete words ; becaufe they occur fo feldom, that the difference of time loft in compofing them in the ordinary method Avould be imperceptible. 2. Technical terms, names of places, animals, &c, ; though, for any particular work, the terms peculiar to it may be added to the fount in a biformed alphabet apart. 3. Real com¬ pounds,^ or Avoids that may be compounded of others, 1 64 ] L O (J are alfo rejected ; becaufe we aftually haAre the Arords Logogra. already, and they may be joined Avith fufficiefit expe- i dition, though the fpaces are annexed to each, by being conftru£led accordingly. 4. Thofe of the fame fpelling are likewife omitted, though they bear differ¬ ent fignifications, for obvious reafons. 7. The variation of tenfes, degrees of comparifon, and numerous words in the Englilh language, having in general, the fame terminations, fuch as ED, ing, LY, MENT, ness, &.c. an alphabet may be formed of fuch a kind as is capable of being annexed to the abfo- lute words or radices, as expeditioully as the Avhole word could be found in the fount, from its being thereby fo much lefs extended. Thuc, by dividing fe¬ veral w'ords into their radices and terminations, many other words may be formed from their radix by the ad¬ dition of various terminations, and each termination may be added to other radices to Avhich they are ap¬ plicable. 8. Some radices are imperfeft, viz. fuch as end with the vowel e, which mull therefore be added in the ufual Avay of compofition. Thus, in the Avord adore, the ra¬ dix is ador, to which the terminations ex, cd, eji, eth., er, irg, may be added occaftonally. 9. By rejecting alfo the words which come under this laft denomination, the number neceffary for a fount is reduced to one-tenth of what it Avould othenvife be, as Avill appear evident from the following confiderations : I. There are at leaft 42 verbs, the infinitive of which ends in ify ; as qualify, Jignify ; the radices of Avhich are qualfjign ; the terminations are, ifics, ified, fying, &c. And Mr Johnfon informs us, that by applying thefe radices to other terminations, he was enabled to difpenfe Avith more than 500 w'ords which would other- Avife have been neceffary. 2. For all regular verbs, no more than fix terminations are neceffary, viz. x, ejl, eth, ed, cs, ing. There are but few irregular ones in the Englifh language ; Avhence it happens that 12 or 14 Avords may. be formed from one fingle perfedl verb as a radix, and many imperfect ones fave double that num¬ ber. jo. By ufing only the fet of terminations which may be contained in a box of tw'o feet fquare, the common operation of printing would be fhortened near¬ ly one half; and in order to find out thofe which are rnoft in ufe, and fitteft to retain, our author digefted them alphabetically, with the radices, Avords, or fyl- lables, which make complete Avords annexed to them. Thus, tam ed j abs—apper—afeer de—dis—con cer—cap—cur in^ . I enter—main—re—fus, &c. n. Thus it will be found, that out of more than 100,000 words of which the Englifh language confifts, there will not be wanted much above 3500 for a com¬ plete fount. This will be very evident to any perfon Avho confults a dictionary. He will there find, that a vaft number of words require an explanation ; Avhereas in any mifcellaneous werk, there are none but what can he underftood moft readily either together or apart. Newfpapers retain more of the uncommon kind of w ords than any others. 4‘ The vocabulary (fays our author) ox LOG [i Itogogra- or alphabet as it is called, of the Chintfe, confills of phy. above 8d,000 letters or cbaradlers j yet he is admitted a mafter of the language who knows about 4000 of them, no more being in general ufe.” The expedition with which the logographie method of printing can be accompliihed, depends effentially on their arrangement; which, from great numbers of ex¬ periments, our author found to be beft accomplifhed in the following manner : 1. Words of one, two, or three fyllables, are alphabetically placed by themfelves, including all poflfible commencing fyllables, by which the compofitor cannot fail of finding the word either in whole or in part, let it be what it will ; and when the whole cannot be found at once, the remainder may eafily be found in fingle or double fyllables among the terminations. 2. All words above three fyllables have the fame alphabetical arrangement j the terminations being the fame at the bottom of each. Experience fhows, that by a very few leffons, the meaneft capacity may determine the number of fyllables, and refer to the particular cafe containing words of that number, there being confpicuous references to each ; and by thus equalizing them, any perfon may poffefs himfelf very expeditioufly of what he wants. Even boys who Icarcely knew more than the letters of the alphabet, were hardly a fortnight employed in this method, when they could at the firft glance tell the number of letters contained in any word. By this fimplicity of arrangement, any intelligent perfon, who never compofed in his life, by being pla- ed in a room with the apparatus, could compofe and print, without other previous initruftion than defiring him to remember that the words under three fyllables, and thofe above three, are placed in fcparate alphabets; and that whenever he wants a word, the firft letter is feen in capitals of two inches on the walls, the fecond in letters of one inch in right lines; and where it is ne- ceffary to have more columns than one for fuch fecond letter, the third is given in red down the column, com¬ prehending about 1 2 divifions, to contain the types of the word corning under fuch reference. To exemplify this method as far as it can be done without actually feeing the apparatus, our author inilan- ces the two words Above and Unfortunately. In looking for the former, the firfi letter, A, is feen upon the wall as already mentioned : the fecond, B, is on the cafe under it, and down that column is OVE, oppofite to the cell containing the types of the whole word ; which would be only three references inftead of five with fpace?, as in the common method. The other word, viz. Unfortunately, may be found by the fame references, though it contains 13 letters; but “ admitting that prattice will give the word as foon as a fingle letter, the average will be found eight for one.”—Our author’s explanation of the method in which this wrord might be compofed, however, feems by no means intelligible.—“ For this dillinftion in the cafes (fays he), the alphabet, or rathfr marks of firft reference in large characters on the wall, is divided into two clalTes, not as vowels and confonants, but as fol¬ lows, viz. A, Con, Dif, E, In, O, P, S, Un, com¬ mencing references, the fecond or fubfequent letters of the words being in a right line from left to right, and down each column is found the remainder of the refe¬ rence to the words, diftinguiftiing always the third let- 5 ] L o h ter in red. The fecond diftinction is that for all other Log°Sra' commencing letters, the fecond letter of reference is in a column down, and the third letter in lines from left L0h0ch. to right in red. u——y—— Thefe are the directions given by our author for forming a fount of words; the next requifite is a fount of fyllables, formed in the following method: 1. A complete fet of two letters was obtained in all their poffible combinations, amounting to 676. 2. Having next obtained the poflible combination of thefe letters, - viz. 17576, by retaining only all poffible fyllables, and words of three letters, it is reduced to the 30th part, which anfwer all the purpofes of compofmg with fylla- bles of two and three letters, for Latin, French, Eng- liih, and all names of perfons, places, and things, every poffible fyllable being comprehended among them. Hence it forms an univerfal triformed alphabet, where Engliffi characters are ufed ; from whence all partial biformed and triformed alphabets in the arrangement of Englifti, French, Latin, and all technical matters, are drawn. Though combinations of four letters are again 26 times the number of thofe of three letters, and five letters increafe in the fame ratio; yet as much as all poffible combinations increafe in quantity pro¬ portionate to the number of letters combined, fo they decreafe in the aftual number of fyllables included among them, infomuch, that all the fyllables of four, five, fix, and feven letters together, are confiderably fewer than the fyllables of three letters only.—Befides the two founts already mentioned, a third was found ne- ceffary for fuch terminations as are moft commonly fol¬ lowed by particular punftuations ; but, after fome con- fideration, this was judged unneceflary. Our author now proceeds to obviate fome objedions which muft naturally occur to one who firft hears of his invention. Thefe are, 1. A fingle letter damaged in a word renders the whole ufelefs. This is not denied by Mr Johnfon ; but be contends, that the quantity of metal loft in this manner is quite trifling. 2. How are the blanks or fpaces in a line to be ma¬ naged, as thefe are by no means equal ? To this our author replies, that, at the time of writ¬ ing the pamphlet, he was undetermined whether it be moft eligible to have fpaces caft along with the begin¬ nings of words, or to fpace them in the common man¬ ner. The former would be more expeditious; and where a greater diftance is required, other fpaces may be introduced in the ordinary method. 3. How is a long word at the end of a line to be divided ? This may be eafily accompliftied by means of the fyl- labic fount already mentioned. 4. How is the error of fubftitutlng one word for another to be reClified. The anfwer to this is, that an error of the kind fpe- eified may be corre&ed in the very fame manner as is done in common printing. Long words may be divided by means of the fyllabic fount already mentioned, and the intervals between the words may be filled up with fpaces as ufual. LOGWOOD. See Htematoxylon, Bctaky and Dyeing Index. LOHOCH, or Loch, in Pharmacy, a compofition of Lollards. L O L [ Lohoeh of a middle confiftence between a foft eleftuary and fyrup, principally ufed in diforders of the lungs. LOINS, in Anatomy, the two lateral parts of the umbilical region of the abdomen. LOIRE, the largell river in France, rifes in the mountains of the Cevennes, and, after running a courie of about 500 miles, falls into the bay of Bifcay. LOKE, in Mythology, the name of one of the dei¬ ties of the northern nations, anfwering to the Arima- ilius among the Perfians, whom they reprefent as at en¬ mity both with gods and men, and the author of all the evils which defolate the univerfe. Loke is defcribed in the Edda as producing the great ferpent which encircles the world j which feems to have been intended as an emblem of corruption or lin : he alfo gives birth to Hela or-tleath, the queen of the infernal regions 5 and alfo to the wolf Fenris, that monfter who is to encoun¬ ter the gods and deftroy the world. LOKMAN the Wise, an eminent philofopher a- mong the Eafterns. The Arabians fay he was the fon of Baura, the fon or grandfon of a lifter or aunt of Job. He was an Ethiopian, and a Have for fome time. It is related that he was born in the time of David, and lived till the age of the prophet Jonas. Some fuppofe him to have been the fame with Aifop the mythologift : and indeed we find in the parables or apologues of Lok- man in Arabic, many particulars that are feen in Al- fop’s fables 5 fo that it is not eafy to determine whether the Greek or the Arabian are the originals He is faid to have been deformed in his perfon ; but that this de¬ feat was fufficiently made up by the perfeftions of his mind. Some pieces of his are extant; and he was look¬ ed upon as fo excellent a perfon, that Mahomet has in- ferted a chapter of the Koran, called after his name, in which he introduces God as faying, “ We heretofore bellowed wifdom on Lokman.”—It is related that he got his liberty on the following occafion. His mailer having given him a bitter melon to eat, he ate it all. His matter, furprifed at his exaft obedience, alked, How it was poffible for him to eat fuch a naufeous fruit ? He anfwered, “ I have received fo many favours from you, that it is no wonder I Ihould once in my life eat a bitter melon from your hand.” This generous anfwer of the Have ftruck the mailer to fuch a degree, that he immediately gave him his liberty. M. Galland tranllated all the fables of Lokman, and Bidpai or Pil- pay, a bramin philofopher, which were publilhed at Paris in 1724. LOLIUM, Darnel Grass ; a genus of plants be¬ longing to the triandria clafs j and in the natural me¬ thod ranking under the 4th order, Gramina. See Bo¬ tany Index. LOLLARDS, in ecclefiaftical hiftory, a religious fe61, differing in many religious points from the church of Rome, which arofe in Germany about the begin¬ ning of the 14th century, fo called, as many writers have imagined, from Walter Lollard, who began to dogmatize in 1315, and was burnt at Cologn : though others think that Lollard wras no furname, but mere¬ ly a term of reproach applied to all heretics who con¬ cealed the poifon of error under the appearance of piety. The monk of Canterbury derives the origin of the word Lollard among us, from lolinm, “ tareas if the Lollards were the tares fown in Chrift’s vineyard. 3 166 J L O L Abelly fays, that the word Lollard fignifies “ praifing Lollards. God,” from the German loben, “ to praife,” and herr,v ■■ v— “ Lord 5” becaufe the Lollards employed themfelves in travelling about from place to place, finging pfalms and hymns. Others, much to the fame purpofe, derive Icllhard, lull hard, or lollert, lullert, as it was written by the an¬ cient Germans, from the old German word lullen, lol- len, or lallen, and the termination hard, with which many of the High Dutch words end. Lollcn fignifies “ to fing with a low voice,” and therefore Lollard is a finger, or one who frequently fings j and in the vulgar tongue of the Germans it denotes a perfon who is continually praifing God with a fong, or finging hymns to his honour. The Alexians or Cellites were called Lollards, becaufe they were public fingers who made it their bufinefs to inter the bodies of thofe who died of the plague, and fang a dirge over them in a mournful and indiftindt tone as they carried them to the grave. The name was afterwards affumed by perfons that difhonoured it j for we find, among thofe Lollards who made extraordinary pretences to piety and religion, and fpent the greateft part of their time in meditation, prayer, and fuch afts of piety, there were many abo¬ minable hypocrites, w ho entertained the moft ridiculous opinions and concealed the moft enormous vices under the fpecious mark of this extraordinary profefiion. And many injurious afperfions were propagated againft thofe who affumed this name by the priefts and monks j fo that, by degrees, any perfon who covered herefies or crimes under the appearance of piety, was called a Lol¬ lard. Thus the name was ufed not to denote any one particular feft, but was formerly common to all perfons and all fefts who were fuppofed to be guilty of impiety towards God or the church, under an external profef- fion of extraordinary piety. However, many focieties confifting both of men and women under the name of Lollards, were formed in moft parts of Germany and Flanders, and were fupported partly by their manual la¬ bours, and partly by the charitable donations of pious perfons. The magiflrates and inhabitants of the towns where thefe brethren and fitters refided, gave them particular marks of favour and protedlion, on account of their great ufefulnefs to the fick and needy. They were thus fupported againft their malignant rivals, and obtained many papal conftitutions by which their in- ftitute was confirmed, their perfons exempted from the cognizance of the inquifitors, and fubjefted en¬ tirely to the jurifdidlion of the biftiops \ but as thefe meafures were infufticient to fecure them from mo- leftation, Charles duke of Burgundy, in the year 1472, obtained a folemn bull from Pope Sixtus IV. ordering that the Cellites or Lollards Ihould be rank¬ ed among the religious orders, and delivered from the jurifdidlion of the biftiops j and Pope Julius II. grant¬ ed them yet greater privileges in the year 1506. Mo- ftieim informs us that many focieties of this kind are ftill fubfifting at Cologn, and in the cities of Flanders, though they have evidently departed from their ancient rules. Lollard and his followers rejefled the facrifice of the mafs, extreme unftion, and penances for fin \ ar¬ guing, that Chrift’s fufferings were fufficient. He is likewife faid to have fet afide baptifm, as a thing of no efteft 5 and repentance, as not abfolutely neceffary, &e. L O M [ Lollards See.—In England, the followers of Witkliffe were || called, by way of reproach, Lollards, from fome affinity Lombards. tjjere was between fome of their tenets j though others ^ are 0f 0pinion that the Engliffi Lollards came from Germany. They were folemnly condemned by the archbiffiop of Canterbury and the council of Oxford. LOMBARD, Peter, well known by the title of Majler of the Sentences, was born at Novara in Lom¬ bardy j but being bred at Paris, he diilinguiffied him- felf fo much at that univerfity, that, he firil had the canonry of Chartres conferred on him, was fome time tutor to Philip fon of Louis le Gros, and laftly obtained the fee of Paris. He died in 1064. His work of the Sentences is looked on as the fource of the feholaftic theology of the Latin church. He wrote alfo Commen¬ taries on the Pfalms, and on St Paul’s Epiftles. LOMBARDS, a Scandinavian nation, who former¬ ly fettled in Italy, and for fome time made a confider- t able figure. Etymology Their name of Lombards, or Longobards, is by fome of the derived from the word lack, or lac he, fignifying in the aarae. German tongue winter; becaufe the Lombards, while in Scandinavia, lived in marffies, or near the fea. Others think that it comes from the two German words langen harden, or helleborden, that is, from the long halberts they were fuppofed to ufe in war. But Paulus Dia- conus their hiftbrian, and who was himfelf a Lombard, tells us that they were called Longobards from the length of their beards. A nation called the Lombards is mentioned by Tacitus, Strabo, and Ptolemy ; but thefe are different from the Lombards who afterwards fettled in Italy, and are reckoned to be the fame with the Gepidae, whom the Italian Lombards almoft ex¬ terminated. The Lombards who fettled in Italy are fir ft mentioned by Profper Aquitanus, biffiop of Rhe- Vandalsde-gkim jn the year 379. That writer tells us, that eated by about this time the Lombards, abandoning the moft the Lom- diftant coafts of the ocean, and their native country bards. Scandinavia, and feeking for new fettlements, as they were overftocked with people at home, firft attacked and overcame the Vandals in Germany. They were then headed by two chiefs, Iboreus and Aion ; who, dying about the year 389, were fucceeded by Agil- mund, who is commonly reckoned the firft king of the Lombards. They fettle Before the time of Odoacer, the Lombard hiftory in the coun-affords nothing remarkable $ in his time, however, try of the they fettled on the Danube, in the country of the RuSians* Rugians, whom Odoacer had almoft totally extermi¬ nated or carried into captivity. During their ftay in this country, they rendered themfelves formidable to the neighbouring nations, and carried on fuccefsful wars with the Heruli and Gepidae. In 526, they were allowed by the emperor Juftinian to fettle in Pannonia •, and here they made war a fecond time Deftroy thevvith the Gepidae. Alboinus, the Lombard king, kill- Gspidae. ed the king of the Gepidae with his own hand, put his army to the rout, and cut fuch numbers of them in pieces, that they ceafed from that time to b# a nation. Having caufed the deceafed king’s head to be cut off, he made a cup of his ikull, called in the language of the Lombards fchnla, which he made ufe of in all public entertainments. However, having taken, among many «ther captives of great diftindlion, the laft king’s 67 ] L O M daughter, by name Rofamunda, he married her after Lombauh. the death of his former wife Clodifvinta, the daughter ' of Clotaire king of France. By this viftory Alboinus gained fuch reputation that his friendfhip was courted by Juftinian 5 and, in confequence of the emperor’s application, a body of 6000 Lombards were fent to the affiftance of Narfes ' againft the Goths. The fuccefs of the Romans in this expedition, the invafion of Italy by the Lombards, and their fucceffes in that country, have been taken ^ notice of under the article Italy, N° 28—32. At Alboinus laft Alboinus, having made himfelf mafter of Venetia,king ofthe Liguria, TEmilia, Hetruria, and Umbria, was flain by L^arfpsd the treachery of his wife, in the year 375, the fourthatath'enfnftl, of his reign. This princefs was the daughter of thegationof king of the Gepidae, whom Alboinus had killed in his wife, battle, and made a cup of his fkull, as above related. As he was one day feafting at Verona, with his chief favourites and principal officers, in the height of his mirth he fent for the queen, and, filling the detefted cup, commanded her to drink merrily with her father. Rofamund, ftruck with horror, hurried out of the room ; and highly incenfed againft her huffiand far thus barbaroufty triumphing over the misfortunes of her family, refolved, at all events, to make him pay dear for fuch an inhuman and affronting condutt. Accordingly, ffie difcovered her intention to Helmi- child the king’s (hield-bearer, a youth of great bold- nefs and intrepidity. Helmichild peremptorily refufed to imbrue his hands in the blood of his fovereign, or to be any w ay acceffory to his death j and in this re- folution he perfifted, till he was, by a ffiameful ftrata- gem, forced by the queen to a compliance : for ftie, knowing that he carried on an intrigue with one of her ladies, placed herfelf one night in her bed, and receiving the youth, indulged him as if the had betn his own miftrefs in his amorous defires ", which ffie had no fooner done, than difcovering herfelf to the deceived lover, ffie told him that he muft now either put the king to death, or be put to death by him. Helmi¬ child, well apprifed, that, after what he had done, his fafety depended upon the death of the king, engaged in the treafon, which he otherwife abhorred. One day, therefore, while Alboinus was repofing in his chamber after dinner, Helmichild, with fome others whom he had made privy to his defign, breaking in unexpe&edly fell upon the king with their daggers. Alboinus ftart- ing up at their firft coming in, laid hold of his fword, which he had always by him ; but having in vain at¬ tempted to draw it, the queen having before-hand faf- tened it in the fcabbard, he defended himfelf for fome time with a footftool; but was in the end overpowered, and defpatched with many wounds. Rofamund had promifed to Helmichild, that, as foon as he had defpatched the king, ffie would marry him, and, with her perfon, beftow upon him the king¬ dom of the Lombards. The firft j)art of her promife ffie immediately performed ; but was fo far from being able to beftow the crown upon him, that both of them were obliged to fave themfelves by flight. They fled to Longinus the exarch of Ravenna, taking with them all the jewels and treafure of the late king. Longinus received her with the greateft marks of friendffiip and kindnefs, and affured her of his proteftion. She had not been long in Ravenna, however, before the exarch, judging L O M [ 168 ] 7 Monarchy aboliflied. Lombards, judging that a favourable opportunity now offered of making himfelf king of Italy by her means, imparted his defign to her, and declared his intention to marry her, provided, by fome meafts or other, the defpatched Helmichild.i—Rofamund, highly pleafed with the pro- pofal, refolved to fatisfy her ambition by getting rid of the perfon whom (lie had married in order to gra¬ tify her revenge. Accordingly, having prepared a ftrong poifon, (lie mixed it with wine, and gave it to her hufband as he came out of the bath, and called for drink, according to his cuftom. Helmichild had not half emptied the cup, when, by the fudden and ftrange 6 operation which he felt in his bowels, he concluded Her death, was • and^ with his fword pointed at the queen’s breaft, compelled her to drink the reft. '1 he poifon had the fame effe£t on both $ for they died in a few hours. Longinus, on the death of the queen, laid alide all thoughts of making himfelf king of Italy, and font the king’s treafure to Conftantinople, together with Albifoinda, the daughter of Alboinus by Rofa¬ mund, whom the had brought along with her. After the death of Alboinus, the Lombards chofe Clephis, one of the nobility, for their king. He was murdered after a fhort reign of 18 months’, upon which enfued an interregnum of to years, as related under the article Italy, N° 32. During this time, they extended their conquefts in that country j but at lait the Romans, jealous of their progrefs, refolved to put a flop to their vi&ories, and, if poilible, to drive them quite out. For this purpofe, they defigned not only to employ their own force, but entered into alliance with the Franks; which fo alarmed the Lombards that' they re-eftabliftied the monarchical form of go¬ vernment among themfelves, and chofe Autharis the Reftored. fon of Clephis for their king. This monarch, confi- dering that the power of the dukes, who had governed Lombardy for the fpace of 10 years, was during that length of time very much eftablithed, and that they would not probably be willing to part with the au¬ thority which they had fo long enjoyed, allowed them to continue in their government; but obliged them to contribute one moiety of their revenues towards the maintenance and fupport of his royal dignity, fuffer- ing them to difpofe of the other as they thought pro¬ per. He referved to himfelf the fupreme dominion and authority j and took an oath of the dukes, that in time of war, they would readily affift him to the utmoll of their power. Though he could remove the dukes at pleafure, yet he deprived none of them of their dukedoms, except in cafes of treafon ; nor gave them to others, except when their male iflue failed. Having fettled matters in this manner with the dukes, he ena&ed feveral wholefome laws againft theft, ra- \ pine, murder, adultery, and other vices which prevailed among his fubjefts, and was the firft of the Lombard kings who embraced Chriftianity. Moft of his fubjefls followed the example of their monarch •, but as they were all inftrufted by Arian biftiops, they continued long infe&ed with that herefy j which occafioned great difputes between them and the orthodox biihops of the 9 cities fubjedl to them. Written From the re-eftabli(hment of the monarchy under laws when Autharis, to the reign of Rotharis in 636, the hiftory firft intro- o£ ^ Lombar3s affords nothing memorable. This period is remarkable for the introduftion of written 8 duced. L O M laws among thefe people. Before his time they had Lombards, | been governed only by tradition : but Rotharis, in imi- —y—-j tation of the Romans and Goths, undertook the pub- lilbing of written laws ; and to thofe which he enafted, many were added by the iucceeding princes. Grotius prefers the method which the Lombards followed in making laws, to that which was praftifed by the Ro¬ mans themfelves. Among the latter the emperor was the foie lawgiver j fo that whatever pleafed him had the force of a law. But the Lombard kings did not affume that power to themfelves, fince their laws were enabled in public affemblies, convened for that purpofe, after they had been maturely examined and approved of by all the lords of the kingdom. From thefe affem¬ blies were excluded the ecclefiaftic order, and the peo¬ ple : fo that the legiflative power was lodged in the king and nobles alone. The reign of Rotharis is remarkable, not only for his introducing written laws among his fubje£Is, but for the conquefts he made, and the fuccefsful wars carried on with the exarch of Ravenna, whom he totally defeated in feveral engagements, and made himfelf matter of fome part of his territories. This monarch died in 652 j and the affairs of the Lombards went on profperoully, till the ambition of Luitprand laid the foundation of the total ruin of his kingdom. Jo He afeended the throne of Lombardy in 711, and Luitprand’s I watched all opportunities of enlarging his dominions at ambition, the expence of the emperor’s. Of this, a fair oppor¬ tunity offered in 7x6 : for the emperor Leo Ifauricus, who at that time reigned in the eaft, having, by his famous edift, forbidden the woriliip of images, and ordered them to be everywhere pulled down, the people were fo provoked at that innovation, that, in feveral places, they openly revolted, and, falling up¬ on the emperor’s officers, drove them out of the cities. In the eaft, Germanus, patriarch of Conftantinople, oppofed the emperor’s defign with great warmth j but Leo caufed him to be dtpofed, and Anaftafius to be raifed to that fee in his room, ordering at the fame time all the images in the imperial city to be pulled down and publicly burnt. He ftri£lly enjoined his officers in the weft, efpecially the exarch oi Ravenna, to fee his edi£l pun£tua!ly obeyed in their refpetlive governments. In compliance with thefe orders, Scho- lafticus, then exarch, began to pull down the images in all the churches and public places in Ravenna -7 which incenfed the fuperftitious multitude to fuch a I degree, that taking arms, they openly declared they would rather renounce their allegiance to the emperor than the worlhip of images. Thus a kind of civil war being kindled in the city, Luitprand thought he had now a favourable opportu¬ nity of making himfelf matter of the feat of the exarch, not doubting but the conqueft of fuch an important place would be followed by that of the whole ex- It archate. Having therefore drawn toge ther all his He befiegel forces, he unexpeftediy appeared before Ravenna, and and at laftj clofely befieged it. The exarch little expected fuch atal,;esR-a’ furprife, as a friendly correfpondence had been main-venna* tained for many years between the exarchs and the Lombard kings. However, he defended the place with fuch courage and refolution, that Luitprand, defpairing of fuceefs, broke up the fiege and led his army againft Claffis, atafmall diftance from Ravenna, which. 1 L O M f i Lombards, which he took, plundered, and levelled with the —ground. The lofs of this place, and the fevere treat¬ ment the inhabitants met with from the king, threw the citizens of Ravenna into the utmoft confternation j which Luitprand being informed of, he refolved to take advantage of their fears, and, returning before Ravenna while the inhabitants were thus dilheartened, to attempt once more the redutlion of that place. Accordingly he led his whole army againft it, and, by frequent attacks, tired the inhabitants and garri- fon to fuch a degree, that the exarch, finding they could hold out no longer, and defpairing of relief, privately withdrew. Luitprand, informed of his re¬ treat, attacked the town with more violence than ever j and, having carried it by ftorm, gave it to be plunder¬ ed by his foldiers, who found in it an immenie booty, as it had been for a long time the feat of the Roman emperors, of the Gothic kings, and the exarchs. The king ftripped it of moll of its valuable monuments of antiquity, and caufed, amongft the reft, an equeftrian ftatue of an emperor, of wonderful workmanlhip, to be conveyed to Pavia, where it is to be feen to this day. The reduction of Ravenna was followed by the furrend- I2 er of feveral cities of the exarchate, which Luitprand I Reduces reduced to a dukedom j appointing Hildebrand his I'he exarch-grandfon to govern it with the title of duke : and giving t(i a him, as he was yet an infant, Peredeus duke of Vicenza dukedom. r ^ tor his guardian. The conqueft of Ravenna and the greater part of the exarchate did not a little alarm Gregory II. bi- thop of Rome. He was then at variance with the emperor, whofe edi6t againft the worftiipping of ima¬ ges he had oppofed with all his might, and by that means provoked Leo to fuch a degree, that he had threatened to drive him from the fee, and fend him in¬ to exile. However, the pope, no lefs jealous of the power of the Lombards than all his predeceffors had been, refolved, by fome means or other, to put a ftop to their conquefts. The only prince in Italy to whom he could have recourfe was Urfus duke of Venice, the Venetians making already no inconfiderable figure. The exarch To him accordingly, he wrote a very piefling letter j conjuring him to aflift his worthy fon the exarch, and, for the love of the holy faith, to attempt with him the recovery of the exarchate, which the wicked na¬ tion of the Lombards had unjuftly taken from his fons Leo and Conftantine emperors. Urfus and the Ve¬ netians, moved with the pope’s letter, and at the fame time greatly alarmed at the growth of fo powerful a neighbour, promifed to aflift the exarch with the whole ftrength of their republic j and accordingly fitted out a confiderable fleet, pretending it was defigned for the fervice of the emperor againft the Saracens. At the fame time the exarch, who had taken refuge in Ve¬ nice, abandoning that place, as it were in defpair of bringing the duke over to his party, railed, in the places ftill fubiefr to the emperor, what forces he was able ; and having got together a confiderable body, he marched with them towards Imola, giving out that he defigned to befiege that city ; but turning on a hidden towards Ravenna, as had been agreed on be¬ tween him and the Venetians, he laid fiege to it by land, while they invefted it almoft at the lame inftant by fea. Peredeus defended the town for feme time with great courage and refolution : obliging all thofs Vol. XII. Part I. 13 affifted by the Vene¬ tians ; 69 ] L O M who were able to bear arms to repair to the walls. But Lombards^ the Venetians having, in fpite of all oppofition, forced ^ t open one of the gates on the fide of the fea, the city w^0 retake was taken, and Peredeus llain, while he was attempt-Ravenna, ing, at the head of a choice body, to drive the enemy from the polls they had leized. As for Hildebrand, he fell into the hands of the Venetians •, who, having thus recovered Ravenna to the emperor, returned home, leaving the exarch in poffelfion of the city. Luitprand was then at Pavia j but the town was taken before he could aflemble his troops to relieve it. And now Gregory bilhop of Rome, to whom the recovery of Ravenna was chiefly owing, perfuading himfelf, that the emperor would, out of gratitude, give ear to his remonftrances and admonitions, began to folicit him with more preffing letters than ever to revoke his edidt againft the worlhip of images : but Leo, well apprifed that the bilhop, in all the mea- fures he had taken, had been more influenced by a re¬ gard to his own intereft than to that of the empire, inftead of hearkening to his remonftrances, was ftill more provoked againft him for thus obftinately oppof- ing the execution of his edidt. Being, therefore, re¬ folved at all events to have it obferved in Rome itfelf, and, on the other hand, not doubting but the pope would oppofe it to the laft with all his might •, in order to remove all obftacles, he fent three officers to Rome, with private orders, either to difpatch the pope, or to take him prifoner and convey him to Conftantinople. At the fame time, he wrote to Mauritius duke of Rome, fecretly enjoining him to aflift his three officers in their undertaking : but no favourable opportunity offering to put their defign in execution, the emperor, in the year 725 recalled Scholafticus, and fent Paul a patrician into Italy, to govern in his room, with pri¬ vate inftrudlions to encourage the above-mentioned of¬ ficers with the promife of great rewards, and to affure them of his protedlion. But, in the mean time, the plot was difeovered, and two of the confpirators w ere apprehended by the citizens of Rome, and put to death : the third having eicaped into a monaftery, where he took the monaftic habit and ended his days. Hereupon the exarch, in com¬ pliance with the emperor’s orders, refolved to proceed no longer by fecret plots, but by open force. Accord¬ ingly, he drew together a confiderable body of troops, and fet out at the head of them on his march to Rome, with a defign to feize on the pope, and fend him, as he had engaged to do, in chains to Conftantinople. But, Luhprand on this occafion, Luitprand, though highly provokedaffifts the againft Gregory for having ftirred up the VenetiansP°Pe &- againft him, yet refolved to alfift him and the citizens of Rome againft the exarch, in order to keep the ba¬ lance even between them, and by aflifting fometimes the one and fometimes the other, weaken both. Pur- fuant to this refolution, he ordered the Lombards of Tufcany, and thofe of the dukedom of Spoletto, to join the pope and the inhabitants of Rome j who, being by this reinforcement far fuperior in ftrength and num¬ ber to the exarch, obliged him to return to Ravenna, and give over all thoughts of any further attempt on the perfon of the pope. In the mean time, Leo, perfifting in his former re filiation of fupprefling throughout his dominions the worlhip of images, fent frefh orders to the. exarch Y ’ Paul, L O M [ 170 1 L 0 M LrniturJj. Paul, ftriftly enjoining him to caufe his aiict to be put both him and his fon to pieces, and likenife put to Lombsra.. ^ v in execution in all the cities of Italy under his empire, death one of his chief officers, who had compoled a VT——' efpecially in Rome. At the fame time, he wrote to the libel againft the pope. Luitprarffi, and Gregory at pope, promifing him his favour and proteffion if he that time duke of Rcnevento, laying hold of fo fa- complied with the edift •, and declaring him, if he con- vourable an opportunity to make themfelves mafters tinued to oppofe it, a rebel, and no longer veiled with of the dukedom of Naples, did all that lay m their the papal dignity. But Gregory was fo far from power to perfuade the Neapolitans to iubmit to them, yielding to the emperor’s threats, or promifes, that, on But the Neapolitans, bearing an irreconcilable ba¬ the contrary, he folemnly excommunicated the exarch tred to the Lombards, with whom they had been con¬ fer attempting to put the imperial edidt in execution : ftantly at variance, rejedled every overture of that na- and at the fame time wrote circular letters to the Ve- ture with the utmoft indignation •, and continuing netians, to King Luitprand, to the Lombard dukes, ftedfaft in their allegiance to Leo, received from Gotl¬ and to* all the chief cities of the empire, exhorting ftantinople one Peter, who was fent to govern them m them to continue ftedfaft in the Catholic faith, and to the room of Exhilaratus. Some writers^ fuppofe the oppofe with all their might fuch a deteftable innova- Neapolitans, in this general revolt of the cities of Italy, tion. Thefe letters made fuch an impreflion on the to have ffiaken oft the yoke with the reft, and to have minds of the people in Italy, that though of different appointed magiftrates of their own ele&ion to govern interefts, and often at war with one another, they all them, in the room of the officers hitherto fent from united •, * protefting they would defend the Catholic Conllantinople, or named by the exarch : but they faith, and the life of the pope, in fo glorious a caufe, are certainly miftaken j it being manifeft fromhiftory, at the expence of their own ^ tbe citizens of that Peter fucceeded Exhilaratus in that dukedom, Rome, and the inhabitants of Pentapolis, now Marca and that the Neapolitans continued to live under the d’Ancona, not contenting themfelves with fuch a pro- emperors, till they were conquered many years after teftation, openly revolted from the emperor j and, by the Normans. pulling down his ftatues, they elefted, by their own In the mean time, Leo hearing of the murder of the authority, magiftrates to govern them during the in- exarch, and the general revolt of the cities, and not terregnum. We are even told, that, tranfported with doubting but the pope was the chief author of fo much a blind zeal, they were for choofing a new emperor, mifchief, fent the eunuch Eutychius into Italy, w-ith and conducing him to Conftantinople, not doubting the title and authority of exarch, ftrisftly enjoining but the people would everywhere join them. But the him to get the pope defpatched by feme means or pope, thinking this refolution unfeafonable, and not to other, fince his death was abfolutely neceffary for the be eafily put in execution, oppofed it; fo that it did tranquillity of Italy.. The exarch fpared no pains to not take place. get the pope into his power : but a meffenger, whom In the mean time the exarch Paul, having gained he had fent to Rome, being apprehended by the citi- a confiderable party in Ravenna, began, purfuant to zens, and an order from the emperor being found up- the repeated orders from the emperor, to remove the on him to all his officers in that city, commanding images, as fo many idols, out of the churches. Here- them to put the pope to death at all events, the pope’s upon the adverfe party, fupported and encouraged by friends thenceforth guarded him with fuch care, that Advil war the pope, flew to arms; and, falling upon the icono- the exarch’s emiffaries could never afterwards find an in Ravenna. claJis, or image-breakers, as they ftyled them, gave rife opportunity of executing their defign. As for the mef- to a civil war within the walls of Ravenna. Great num- fenger, the Romans were for putting him to death; bers were killed on both fides : but thofe who were for but the pope interpofed, contenting himlelf with ex- the worfhip of images prevailed in the end, a dread- communicating the exarch. I? ful flaughter was made of the oppofite party ; and, And now the Romans, provoked more than ever The Ro- among the reft, the exarch himfelf was murdered, againft Leo, and, on the other hand, unwilling to mars re- However, the city of Ravenna continued faithful to live under the Lombards, refolved to revolt from theV0lU the emperor ; but moft of the citizens of Romagna be- emperor, and appoint their own magiftrates, keeping longing to the exarchate, and all thofe of Pentapolis themfelves united under the pope, not yet as their or La Marca d’Ancona, abhorring the emperor as an prince, but only as their head. This they did ac- heretic fubmitted to Luitprand king of the Lombards ; cordingly ; and from thefe {lender beginnings the io- who, pretending a zeal for the Catholic religion, took vereignty of the popes in Italy took its rile, though care to improve the difeontent of the people to his they did not then, as is commonly fuppofed by hiito- advantage, by reprefenting to them, that they could rians, but many years after, become fovereign lords never maintain their religious rights under a prince, of Rome. who was not only an heretic, but a perfecutor of the Eutychius failed in his defign upon the life of the orthodox. P°Pe > but having brought with him from Conftantin- In Naples, Exhilaratus, duke of that city, having. ople a good number of troops, he eafily quelled the re¬ received peremptory orders from the emperor to caufe bellion in Ravenna, and feverely puniffied the authors his edit! to be put in execution, did all that lay in his of the late difturbances. As for the rebellious Ro- power to perfuade the people to receive it ; but find- mans, he was well apprifed he could never reduce them, ing all his endeavours thwarted by the biftiop of Rome, fo long as they were fupported by the king of the Lom- for whom the Neapolitans had a great veneration, he bards; and therefore he employed all his art and po- hired affaffins to murder him. But the plot being dif- licy to take off that prince from the party of the Re¬ covered, though carried on with great fecrecy, the mans, and bring him over to his own. Neapolitan?, highly provoked againft the duke, tore Luitprand,. for feme time, withftood all his offers ; but vith the xarch. 19 The pope fubmits to Luitprand, L O M [17 Lerahards. but Thrafiraund duke of Spoletto revolting at this very ---v—"'juncture, the exarch, laying hold of that opportuni- . lS ty, offered to a [lift the king with all his ftrength a- >U'rfudes gam ft the rebellious duke, provided he would, in like ^alliance manner, affift him againft the pope, and the Romans. With this propofal Luitprand readily clofed j and a league being concluded upon thefe terms between him and the exarch, the two armies joined, and began their march towards Spoletto. At their approach, the duke, defpairing of being able to refift two fuch powers, came out with a fmall attendance to meet them, and, throwing himfelf at the king’s feet, fued, in that humble pofture, for pardon ; which Luitprand not only granted him, but confirmed him in the duke¬ dom, after he had obliged him to take a new oath of allegiance, and give hoftages for his fidelity in time to come. From Spoletto, the two armies marched, in purfaance of the treaty, to Rome ; and encamped in the meadows of Nero, between the Tiber and the Vatican. Gregory had caufed the city of Rome to be fortified in the bed; manner he could *, but being fenfible that the Romans alone could not long hold out againft two fuch armies, and reflefting on the kind treatment the duke of Spoletto had met with upon his fubmitting to the king, he refolved to follow his example : and ac¬ cordingly, taking with him fome.of the clergy, and the principal inhabitants of the city, he went to wait on the king in his camp *, and there, with a pathetic fpeech, as he was a great mafter of eloquence, foften- ed Luitprand to fuch a degree, that, throwing him¬ felf at his feet in the prefence of the whole army, he begged pardon for entering into an alliance againft him : and, affuring him of his protection for the fu¬ ture, he went with them to the church of St Peter ; and there, difarming himfelf in the prefence of his chief officers, he laid his girdle, his fword, and his gauntlet, with his royal mantle, his crown of gold, and crofs of filver, on the apoftle’s fepulchre. After this, he reconciled the pope with the exarch, who was thereupon received into the city, where he continued for fome time, maintaining a friendly correfpondence Avith the pope. At this time an impoftor, taking the name of Tiberius, and pretending to be defcended from the emperors, feduced a great many people in Tuf- cany, and was by them proclaimed emperor. The exarch refolved to march againft him ; but as he had not fufficient forces to oppofe the rebels, Gregory, who let no opportunity Hip of obliging Leo, perfuaded the Romans to attend the exarch in this expedition ; by which means the ufurper being taken in a caftle, his head was fent to the emperor, and the rebellion utter¬ ly fuppreffed. But the emperor ftill infifting upon his edidft againft the images being received in Rome, the Romans, at the inftigation of the pope, publicly re¬ nounced their allegiance to Leo, paid him no more tribute, and withdrew for ever their obedience to the emperors of the Eaft. Leo, informed of this revolt, and not queftioning . but the pope was the author of it, immediately caufed nions°of tht aH th® patrimonies of the church of Rome in Sicily, pope. Calabria, and his other dominions, to be confifcated. At the fame time, he ordered a powerful army to be raifed, with a defign to recover the towns that had re¬ volted 5 to chaftife the Romans for their rebellion j and, 20 The empe ror feizes the domi i ] L O M above all, to be revenged on the pope, who had raif- Lombard?.. ed all thefe difturbances, by himfelf oppofing, and ' v perfuading others to oppofe, the execution of his e- di£L Gregory, alarmed at the warlike preparations that were carrying on throughout the empire, and well apprifed that they were chiefly defigned againft him and the Romans, refolved to recur to the pro- teftion of the French, the only nation at that time capable of coping with the emperor, and on whom, on account of their zeal for religion, he thought he might depend. The Lombards -were then very power¬ ful j but, as they wanted to be mafters of Rome, he did not think it advifable to truft them. The Ve¬ netians, though zealous in the defence of the pope, were not yet in a condition to withftand the power of the emperor j and, befides, were jealous of the Lom¬ bards, who watched all opportunities of enlarging their dominions at the expence of their neighbours. As for Spain, it was then in a moft deplorable condi¬ tion, being overrun, and almoft wholly ruined, by the Saracens. 21 The French nation was at this time governed byWhoap- the celebrated Charles Martel, who had diftinguilhed pl'es ^ himfelf in a moft . eminent manner in the wars of renc ‘ France and Germany ; and had, not long before, gained a fignal vi&ory over the Saracens in the neigh¬ bourhood of Tours ; whence he was generally reput¬ ed the beft commander, and the greateft hero, of his time. To him, therefore, Gregory fent a folemn em- bafly, with a great number of relics, earneftly en¬ treating him to take the Romans, and the church, un¬ der his protection, and defend them againft the at¬ tempts of Leo. The ambafladors were received with extraordinary marks of honour *, and a treaty was foon concluded betw-een them and Charles, who engaged to march into Italy in perfon, at the head of a power¬ ful army, in defence of the Romans and the church, if they ffiould be attacked either by the emperor or the Lombards. On the other hand, the Romans were to acknowledge him for their protedor, and confer on him the honour of the confulftiip, as it had been for¬ merly conferred on Clovis by the emperor Anaftafius, after that prince had defeated the Vifigoths. The am- baffadors returned from France loaded with rich pre- fents. But Gregory did not long enjoy the fruit of their negociations 5 for he died the fame year 73r» and w'as fucceeded by Gregory III. in whofe time fome place the above-mentioned embalfy. 22 The French nation was at this time juft recovered End of the from its diftreffed fituation under the defendants of Lombard Clovis •, and by the bravery and conduCt of Charlesmonarc y‘ Martel, had become the moft powerful kingdom in the weft. His fucceffor Pepin was no lefs wife and powerful than his father had been ; and as the ambi¬ tion of the Lombard princes would be fatisfied with nothing lefs than the entire conqueft of Italy, the French monarch, Charlemagne, under colour of affift- ing the pope, at laft put an end to the empire of Lombardy, as related under the article France, N° 21, 22. 23 The Lombards were at firft a cruel and barbarous character, nation j but diverting themfelves by degrees of their !kc. of the native fiercenefs and barbarity, efpecially after they Lombar(b- had embraced the Chriftian religion, they governed with fuch equity and moderation, that moft other na- Y 2 tions L O M [ i* Lombards tlons envied the happinefs of thofe who lived under ^ them. Under the government of the Lombards (fays Loire rid Pauius Diaconus) no violence was committed, no one ——y—/ unjuftly difpuffefled of his property, none oppreffed with taxes 5 theft, robberies, murder, and adultery, were feldom heard of : every one went, without the leaft apprehenfion, wherever he pleafed. Their laws were fo juft and equitable, that they were retained in Italy, and obferved there feme ages after their king¬ dom was at an end.—According to Paulus Diaconus, alfo, their drefs was loore, and for the moft part of linen, fuch as the Anglo-Saxons wore, being inter- woven w ith various colours ; that their (hoes were open to the end of their foot, and that they ufed to button or lace them. From fome ancient paintings, it appears, that they lhaved the back part of their heads, but that their hair was long before •, their locks being parted, and laid on each ftde their fore¬ heads. LOME ART, or Lombard, Peter, an engraver of confiderable eminence, who flouriftied about the year 1660. He was a native of Paris, where he learn¬ ed the art of engraving. It appears that he came to England before the revolution, becaufe fome of his plates for Englifti publications are dated prior to that event. He executed a vaft variety of plates, as well hiftorieal as emblematical j w'hich, however, were chiefly for books. But his beft works are portraits; and of thefe he produced a confiderable number, which are efteemed. They are moftly after Vandyck.—He alfo engraved hblorical fubjefts, from Pouffin, Ra¬ phael, Annibal Carracci, Guido, and other mailers. LOMENTACEiE, in Botany, (from lementum, a colour ufed by painters), the name of the 33d order in Linnceus’s Fragments of a Natural Method, con- fifting of the following genera, many of which furniih beautiful timftures that are ufed in dyeing, viz. ade- nanthera, bauhinia, caefalpina, caffia, ceratonia, cercis, gleditfia, guilandina, hsematoxylon, hymensea, mimofa, parkinfonia, poinciana, polygama. See Botany. Loch-LOMOND, a large lake of Dunbarton or Lennox-fhire in Scotland, of which Mr Pennant gives the following defeription. “ Loch Lomond, the laft, the moft beautiful of the Caledonian lakes. The firft view of it from Tarbet prefents an extenfive ferpentine winding amidft lofty hills ; on the north, barren, black, and rocky, which darken with their {hade that eontrahfed part of the water. On the rveft fide, the mountains are clothed near the bottoms with woods of oak quite to the water edge ; their fummits lofty, naked, and craggy. On the eaft fide, the mountains are equally high ; but the tops form a more even ridge parallel to the lake, except where Benlomond, like Saul amidft his companions, overtops the reft. The upper parts were black and barren ; the lower had great marks of fertility, or at leaft of induftry, for the yellow corn was finely contrafted with the verdure of the groves intermixed with it. “ This eaftern boundary is part of the Grampian hills, which extend from hence through the counties of Perth, Angus, Mearns, and Aberdeen. The road runs fomelimes through woods; at others is expofed and naked ; in fome, fo fteep as to require the fupport of a wall; the whole the work of the foldiery : bleffed exchange of inftrumeuts of deftruftion for thofe that J 2 ] < L O M give fafety to the traveller, and polifti to |he once Locfc- inacceffible native ! Two great headlands covered with ^Lomcnd, l trees feparate the firft feene from one totally different ; 0,-i0110z^- I the laft is called the Point of Firkin. On pafling this cape an expanfe of water burfts at once on your eye, varied with all the fofter beauties of nature. Imme¬ diately beneath is a flat covered w ith wood and corn : beyond, the headlands ftretch far into the water, and confift of gentle rifings; many have their furfaces co¬ vered with wood, others adorned w ith trees loofely fcat- tered either over a fine verdure or the purple bloom of the heath. Numbers of iflands are Ailperled over the lake, of the fame elevated form as the little capes, and wooded in the fame manner; others juft peep above the furface, and are tufted with trees ; and num¬ bers are fo difpofed as to form magnificent viftos be¬ tween. “ Oppofite Lufs, at a fmall diftance from fliore, is a mountainous ifle almoft covered with wood; it is near half a mile long, and has a moft fine effeft. 1 could not count the number of iflands, but was told there are 28 ; the largeft two miles long, and flocked with deer. “ The length of this charming lake is 24 miles; its greateft breadth 8 ; its greateft depth, which is be¬ tween the point of Firkin and Benlomond, is 12c fa¬ thoms. Befides the fifn common to the lochs are gui- niads, called here p' am. “ The furface of Loch Lomond has for feveral years paft been obferved gradually to increafe, and invade the adjacent fhore : and there is reafon to fuppofe that churches, houfes, and other buildings, have been loft in the water. Near Lufs is a large heap of ftones at a diftance from the ftiore, known by the name of the old church ; and about a mile to the fouth of that, in the middle of a large bay, between Camftraddan and the ifle Inch-tavanack, is another heap, laid to have been the ruins of a houfe. To confirm this, it is evident by a paflage in Camden’s Atlas Britanmca, that an ifland, exilling in his time, is now loft ; for he fpeaks of the ifle of Camftraddan, placed between the lands of the fame name and Inch-tavanack, in which, adds he, was an houfe and orchard. Beftdes this proof, large trees with their branches flill ad¬ hering are frequently found in the mud near the fhore, overwhelmed in former times by the increafe of water. This is fuppofed to be oceafioned by the vaft quanti-. ties of ftone and gravel that are continually brought down by the mountain rivers, and by the falls of the banks of the Leven ; the firft filling the bed of the lake, the laft impeding its difeharge through the bed of the river.” LOMONOZOF, a celebrated Ruffian poet, the great refiner of his native tongue, was the fon of a dealer in fifti at Kolmogori: he was born in 1711, and was fortunately taught to read ; a rare circumftance at that time for a perfon of his ftation in Ruflia. His natural genius for poetry was firft kindled by the pe- rufal of the Song of Solomon, done into verfe by Po- lotfki, whole rude compofitions, perhaps fcarcely fu- perior to our verfion of the pfalms by Sternhold and Hopkins, infpired him with fuch an irrefillible paffion for the mufes, that he fled from his father, who was defirous of compelling him to marry, and took refuge in the Kaikonoipafki monaftery at Mofcow ; there he had L O M [ 173 3 LON of. had an opportunity of indulging his taiio for letters, and of ftudying the Greek and Latin languages. In this ferninary he made fo confiderable progrels in po¬ lite literature, as to be noticed and employed by the Imperial Academy of Sciences. In 1736 he was fent at the expence of that fociety, to the univerfity of Marpurg in Hefle Caffel, where he became a fcholar of the celebrated Chriftian Wolf, under whom he ftudi- ed univerfal grammar, rhetoric, and philofophy. He continued at Marpurg four years, during which time he applied himfelf with indefatigable diligence to che- miftry, which he afterwards purfued with {till greater fuccefs, under the famous Henckel at Freyberg in Saxony. In 1741 he returned into Ruffra ; wa^ cho- i'en in 1742 adjunct to the Imperial Academy j and in the enfuing year member of that fociety and profeffor of chemiitry. In 1760 he was appointed infpe&or of the feminary then annexed to the academy •, in 1764 he was gratified by the late emprefs with the title of counfeilor of Hate, and died April 4th that year, in the 54th year of his age. Lomonozof excelled in va¬ rious kinds of compofition : but his chief merit, by which he bears the iirlt rank among the Ruffian writ¬ ers, is derived from his poetical compofitions, the fineit of which are his odes. The firit was written in 1739, while he ftudied in Germany, upon the taking of Kotfchin, a fortrefs in Grim Tartary, by Marlhal Munich. The odes of Lomonozof are greatly ad¬ mired for originality ot invention, fublimity of fenti- ment, and energy of language j and compenfate for the turgid ttyle which, in fome inftances, has been im¬ puted to them, by that fpirit and fire which are the principal charafterifties in this fpecies of compofition. Pindar was his great model ; and if we may give cre¬ dit to a perfon well verfed in the Ruffian tongue, he has fucceeded in this daring attempt to imitate the Theban bard, without incurring the cenfure of Ho¬ race. In this, as well as feveral other fpecies of com- polition, he enriched his native language with various kinds of metre, and feems to have merited the appel¬ lation bellowed upon him of the Father of RitJJian Poe¬ try, A brief recapitulation of the principal works of Lomonozof, wfoich were printed in three volumes oc¬ tavo, will ferve to (how the verfatility of his genius, and his extenfive knowledge in various branches of li¬ terature. The firft volume, befides a Preface on the advantages derived to the Ruffian tongue from the ec- clefialtical writings, contains ten facred and nineteen panegyric odes, and feveral occafional pieces of poetry. The fecond comprifes An Effay in Profe on the Rules for R-.{fian Poetry ; Tranllation of a German Ode 5 Idylls j Tamira and Selim, a tragedy ; Demophoon, a tragedy ; Poetical Epidle on the Utility of Glafs j twm cantos of an epic poem, entitled, Peter the Great j A Congratulatory Copy of Verfes ; An Ode ; Tranflation of Saptift Rouffeau’s Ode Sur le Bonheur ; Heads of a Courfe of Lectures on Natural Philofophy •, certain paffages tranilated in verfe and profe, according to the original, from Cicero, Erafmus, Lucian, /Elian. Am- mianus Marcellinus, Quintus Curtius, Homer, Virgil, Martial, Ovid, Horace, and Seneca, which Ruffian tranflations were brought as examples in his Lectures upon Rhetoric j laftly, Defcription of the Comet which appeared in 1744. The third volume confifts chiefly «f Speeches and Treat ifes read before the Academy j Panegyric on the Emprefs Elizabeth ; on Peter the Lomonozofr Great 5 Treatife on the Advantages of Chemiftry j on . '0I^ on‘ , the Phenomena of the Air occafioned by the Electri¬ cal Fire, with a Latin tranflation of the fame •, on the Origin of Light as a new Theory of Colours 5 Me¬ thods to determine with precifion the courfe of a Vtffel; on the origin of Metals by the means of Earthquakes j, Latin Differtation on Solidity and Fluidity 3 on the Tranfit of Yenus in 2761, with a German tranflation. Befides thefe various fubjeds, Lomonozof made no in- confiderable figure in hiftory, having publiflied two fmall works relative to that of his own country. The firft, ftyled Annals of the Ruffian Sovereigns, is a ffiort chronology of the Ruffian monarchs 3 and the fecond is, the Ancient Hiftory of Ruffia, from the Origin of that Nation to the Death of the Great Duke Yaro- flaf I. in 10543 a performance of great merit, as it il- luftrates the moft difficult and obfeure period in the annals of this country. LONDON, a large city of Middlefex in England, the metropolis of Great Britain, and one of the moft: wealthy and populous cities in the world, is fituated on the river Thames, in 510 31' north latitude, 400 miles fouth of Edinburgh, and 270 fouth-eaft of Dub¬ lin 3 180 miles well of Amfterdam, 210 north-weft of Paris, 500 fouth weft of Copenhagen, 600 north-weft of Vienna, 790 fouth-weft of Stockholm, 800 north-eaft of Madrid, 820 north weft of Rome, 850 north-eaft of Lifbon, 1360 north-weft of Conftantinople, and 1414 fouth-weft of Mofoow. t This city was by the Romans firft called Londiniumlts differenfs or Lundinum, as w-e find it in Tacitus, Ptolemy, An-names, toninus, and Ammianus. That name was afterwards changed into Augufa ; in honour, as fome fay, of He¬ lena Augufta, the mother of Conftantine the Great 3 while others think it more probable that it had this name from the fecond legion, whofe peculiar title was Augujla ; and fome imagine that the honourable ap¬ pellation of Augujla was conferred upon this city by the Romans, as upon other principal cities of their em¬ pire, on account of its being grown up to be the ca¬ pital of their Britiffi province. How’ long the name of Augufa prevailed, is not now certainly known 3 but after the eftabliffiment of the Saxons we find no more mention of Augufta. It was then called Caer Lun- dain, Lumhun Byrig, Linden Ceafer, Lunden-wyer Lundenne, Lunden berh or Lundenburg; fince the con- queft the records call it Lordinia,. Lundovia, Londine, Londres; and, for feveral ages paft, it has been call¬ ed London, a manifeft corruption from Tacitus’s Lon- dinium. The moft probable derivation of thefe names appears to be, either from the Britifli words Ihong, “ a {hip,” and din, “ a town,” i. e. a town or harbour for ffiips 3 or from Llin, “ a lake,” i. e. IJin din, “ the town upon the lake,” the Surry fide being fuppofed, upon very probable grounds, to have been anciently a great expanfe of water. „ Londiniunt, however, was not the primitive name of When this famous place, which exifted before the invaiion of founded, the Romans 3 being, at the time of Ctefar’s arrival in the ifland, the capital of the Trinobantes or Trinou- antes. J'he name of this nation, as appears from Bax- ter’s Britiflr Gloffary *, was derived from the three is p, 23Cj following Britifli words, tri, non, hunt, which fignify the “ inhabitants of the new city.” This name, it is fuppofed, • Loudon. Henry's Hill. vol. i. p. 171. 3 When ta¬ ken poflef- Cion of by the Ro¬ mans. LON [1 Fuppofed, might have been given them by their neigh¬ bour?, on account of their having newly come from the continent into Britain, and having there founded a city called tn-nov), or the “ new' city the mod an¬ cient name of the renowned metropolis of Britain. I he Trinobantes had come fo lately from Belgium, that they feem fcarcely to have been firmly eftabliflied in Britain at the time of the firlt Roman invafion : For their new city, which foon after became fo famous, was then fo inconfiderable, that it is not mentioned by Cae- far, though he muft have been within fight of the place where it was fituated. His filence about this place, in¬ deed, is brought as a proof that he did not crofs the Thames ; while Norden by the fir minima civitas of the Trinobantes underftands the city in queftion, the Tri¬ nobantes themfelves having been among the firfl; of the Britilh Hates who fubmitted to that conqueror. By Ptolemy, and fome other ancient writers of good authority, indeed, Londinium is placed in Cantium, or Cent, on the fouth fide of the Thames •, and it is the opinion of fome moderns, that the Romans pro¬ bably had a ftation there, to fecure their conquefts on that fide of the river, before they reduced the Trino¬ bantes. The place fixed upon for this ftation is St George’s Fields, a large plat of ground fituated be¬ tween Lambeth and Southwark, where many Roman coins, bricks, and checquered pavements, have been found. Three Roman ways from Kent, Surry, and Middlefex, interfered each other in this place ; this therefore is fuppofed to be the original Londinium, which it is thought became negleded after the Ro¬ mans reduced the Trinobantes, and fettled on the other fide of the Thames} and the name was transferred to the new city. The fituation of this city, as Mr Pennant obferves, was juft fuch as the people would feleft according to the rule eftablilhed among the Britons. An immenfe foreft originally extended to the river fide, and even as late as the reign of Henry II. covered the northern neighbourhood of the city, and was filled with various Ipecies of beafts of chafe. It was defended naturally by foifes *, one formed by the creek which run along Fleet-ditch, the other afterwards known by that of Wall brook 5 the fouth fide was guarded by the Thames •, the north they might think fufficiently protected by the adjacent foreft. The Romans poffeffed themfelves of London, on ■ their fecond invafion in the reign of Claudius, about 105 years after their firft under Csefar. They had be¬ gun with Camelodunum, the prefent Maldon in Effex 5 and having taken it, planted there a colony confifting of veterans of the 14th legion. London and Verulam were next taken pofleflion of about one and the fame time. Camelodunum was made a coloma or place go¬ verned entirely by Roman laws and cuftoms ■, Verulam (on the fite of which St Alban’s now' Hands), a muni- cipium, in which the natives were honoured with the privileges of Roman citizens, and enjoyed their own laws and conftitutions 5 and Londinium only a prafec- tura, the inhabitants, a mixture of Romans and Britons, being fuffered to enjoy no more than the name of citi¬ zens of Rome, being governed by prtefefts fent annu¬ ally from thence, without having either their own laws or magiftrates. “ It was even then of fuch coneourfe (fays Mr Pennant), and fuch vaft trade, that the wife London. 74 ] LON conquerors did not think fit to truft the inhabitants with the fame privileges as other places of which they v - had lefs reafon to be jealous.” But others obferve, that this is a miftake •, and that the Romans, in order to fecure their conqueft, and to gain the affections of thofe Britons who had already fubmitted to their authority, made London equally a municipium or free city with Verulamium, as may be feen by referring to Aulus Gellius, lib. xvi. c. 13. and to Spanhem. orbis Roman, tom ii. p. 37, 38. _ . 4 It is difficult to fay what were the particular articles Ancient of commerce exported from and imported into the port commerce of London at this period. The imports and exports ofot London, the ifland in general w;e know : Strabo fays, “ Britain produceth corn, cattle, gold, filver, iron \ befides which, Ikins, flaves, and dogs, naturally excellent hunters, are exported from that illand.” It is probable that the two firft and three laft articles were exported from London ; and perhaps, too, the gagates or jet-ftone mentioned by Solinus as one of the productions of Bri¬ tain,- together with horfes, were exported from thence. The imports were at firft fait, earthen ware, and works in brafs, polifhed bits of bones emulating ivory, horfe collars, toys of amber, glaffes, and other articles of the fame material. In the reign of Nero, as Tacitus informs us, London was become a city highly famous for the great conflux of merchants, her extenfive commerce, and plenty of all things. No fewer than feven of the fourteen itinera of Antoninus begin or end at London *, which tends to corroborate the many proofs which might be adduced, that this city was the capital of Britain in the Roman times. _ . 5 At firft London had no walls or other fortifications When firft to defend it, and was therefore expofed to the attacks fur rounded of every enemy : and thus it fuffered feverely about thewith W£l lS vear 64, being burnt by the Britons under Boadicea, and all the inhabitants maffacred. But it was foon re- ftored by the Romans •, and increafed fo much, that in the reign of the emperor Severus it is called by Hero- dian a great and wealthy city. It continued, however, in a defencelefs ftate for more than a century after this laft period ; when at laft a wall of hewn Hone and Bri- tifli bricks was erefted around it. London at this time extended in length from Lud- gate-hill to a fpot a little beyond the Tower. The breadth was not half equal to the length, and at eacli end grew confiderably narrower. Maitland aferibes the building of the walls to Theodofius governor of Britain in 369. Dr Woodward, with more probabi¬ lity, fuppofes them to have been founded under the aufpices of Conftantine the Great ; and this feems to be confirmed by the numbers of coins of that empe¬ ror’s mother Helena, which have been difeqvered un¬ der them, placed there by him in compliment to her. The fame emperor made it a biftiop’s fee •, for it ap¬ peal's that the bithops of London and York, and ano¬ ther Englifli bilhop, were at the council of Arles in the year 314 : he alfo fettled a mint in it, as is plain from 5 fome of his coins. The ancient courfe of the w all Their anJ was as follows : It began with a fort near the prefentc,cnt fite of the Tower, was continued along the Minories,coul e> and the back of Houndfditch, acrols Bifliopfgate- ftreet, in a ftraight line by London-wall to Cripple- gate j then returned feuthward by Crowder’s Well alley LON [ 175 3 LON ; London, alley (where feveral remnants of lofty towers were lately to be feen), to Alderfgate, thence along the back of Bull-and-Mouth-ftreet to Newgate, and again along the back of the houfes in the Old Bailey to Ludgate j foon after which, it probably finifhed with another fort, where the houfe, late the king’s print¬ ing houfe, in Black Friars, now ftands : from hence another wall ran near the river fide, along Thames- ftreet, quite to the fort on the eaftern extremity. The walls were three miles a hundred and lixty-five feet in circumference, guarded at proper diftances on the land fide with fifteen lofty towers ; fotne of them were re¬ maining within thefe few years, and poflibly may ftill. Maitland mentions one twenty-fix feet high, near Gra¬ vel-lane, on the weft fide of Houndfditch ; another, about eighty paces fouth-eaft towards Aldgat$ ; and the bafes of another, fupporting a modern houfe, at the lower end of the ftreet called the Vinegar-yard, fouth of Aldgate. The walls, when perfeft, are fup- pofed to have been twenty-two feet high, the towers forty. Thefe, with the remnants of the wall, proved the Roman ftrufture, by the titles and difpofition of the mafonry. London-wall, near Moorfields, is now the moft entire part left of that ancient precindl. The gates which received the great military roads, were four. The Praetorian way, the Saxon Watling-ftreet, palTed under one, on the fite of the late Newgate j veftiges having been difcovered of the road in digging above Holburn-bridge : it turned down to Dowgate, or more properly Dwr-gate or Water-gate, where there is a traje&us or ferry, to join it to the Watling- ftreet, which was continued to Dover. The Hermin- ftreet paffed under Cripplegate ; and a vicinal way went under Aldgate by Bethnal-green, towards Old- ford, a pafs over the river Lee to Duroleiton, the mo- 7 dern Leiton in Effex. London After the Romans deferted Britain, a new and fierce fubmits to race fUCCeeded. The Saxons, under their leaders the Saxons. j£engjfj. an(j Horfa, landed in 448, having been in¬ vited over by the provincials as auxiliaries againft the Scots and Pifts ; but quarrelling with their friends, they found means to eftablilh themfelves in the illand, and in procefs of time entirely fubdued them, as re¬ lated under the article England, N3 31—44. Lon¬ don fell into the hands of thefe invaders about the year 457 ; and became the chief city of the Saxon kingdom in EiTex. It fuffered much in the wars car¬ ried on between the Britons and Saxons : but it foon recovered ; fo that Bede calls it a princely mart tovjn, under the government of a chief magiftrate, whole title of portgrave or portreve, (for we find him called by both names), conveys a grand idea of the mercan¬ tile ftate of London in thofe early ages, that required a governor, or guardian of the port. During the ci¬ vil wars of the Saxons with each other, the London¬ ers had always the addrefs to keep themfelves neuter j and about the year 819, when all the feven Saxon kingdoms fell under the power of Egbert, London became the metropolis of England, which it has ever 8 fihce continued. Plundered During the invafions of the Danes, London fuffered by the greatly. In 849, thefe invaders entered the Thames Lanes. with 250 (hips, plundered and burnt the city, and rnaf- facred the inhabitants j and two years after they re¬ turned with a fleet of 350 fail, fully determined to de- rf ‘ • 3: ftroy every thing that had efcaped their barbarity in London. the former expedition. At this time, however, they * v 1 were difappointed j moft of their troops being cut in pieces by King Ethelwolf and his fon Athelbald j yet fuch w’as the deftruftion made by thofe barbarians at London, that it fuffered more from thefe two incur- fions than ever it had done before. 9 In the reign of King Alfred the Great, London be- Recovers gan to recover from its former ruinous ftate. He re-”11^^" built its walls, drove out the Danilh inhabitants who had fettled there, reftored the city to its former liberties and beauty, and committed the care of it to his fon- in-law, Ethelred duke of Mercia, in hopes that this might always be a place of fecure retreat within its ftrong walls, whatever might happen from a foreign or domeftic enemy. In 893, however, he had the mor- Jq tification to fee his capital totally reduced to allies by Rftiuceci to an accidental fire, which could not be extinguiftied, as allies, the houfes at that time were all built of wood. The w’alls, hpwever, being conftrufled of incombuftible ma¬ terials, continued to afford the fame protedlion as be¬ fore ; the houfes w'ere quickly rebuilt, and the city di¬ vided into wards and precinfts, for its better order and government. This king alfo inftituted the office of ir fheriff, the nature of which office made it neceffary to its govern- have it alfo in London ; fo that here we have the glim-ment feu merings of the order of magiftrates afterwards fettled in the city of London : in the perfon of the portreve, or portgrave, or governor of the city, as fupreme ma¬ giftrate } in the fheriff, and in the officer or fubordi- nate magiftrate by what name foever then diftinguifh- ed, which, being placed at the head of each ward or precimft, were analogous to the more modern title of aldermen and common-council men. I3 Alfred having fettled the affairs of England in the Erick and moft prudent manner, diredted his attention to the or-Hone namenting, as much as poffible, the city of London For this purpofe, he fpirited up the Englifti to an emu¬ lation in building their houfes of ftronger and more durable materials than formerly. At that time their houfes were moftly of wood j and a houfe built of any other materials was looked upon as a kind of won¬ der. But Alfred having begun to raife his palaces'of ftone and brick, the opulent Londoners, and the no¬ bility refident in and about London, followed the ex¬ ample, though the cuftom did not come into general ufe till fome ages after. 13 In IC15, a foreign enemy again appeared before Befieged by London. Canute king of Denmark having invadedCanute- and plundered the counties of Dorfet, Somerfet, and Wilts, failed up the Thames with 200 (hips, and laid fiege to the city. The citizens continued faithful, not- withftanding the defedtion of the greateft part of the kingdom j and made fuch a brave refiftance, that Ca¬ nute thought fit to withdraw his army, leaving only, his fleet to blockade the city by water, that when he found a fair opportunity he might renew the fiege with better fuccefs. At laft, however, being defeated in feveral battles by Edmund Ironfide, he was obliged to call off his (hips to cover his own army in cafe of neceflity. In the compromife, however, which wras afterwards made between Edmund and Canute, the city, of London was given to the latter, and owned him for its lawful fovereign. We have a ftrong proof of the opulence of London even at this time, from the tax laid upon LON [ 176 3 ^ ° ^. London- upon it by Canute in order to pay his army ; this be- for their ufe, or elfe they would throw it into toe tirej Lotwon, i ‘ v ing no lefs than 10,500b while the reft of the nation and, at their going off, they frequently wafhed their v—' was at the fame time taxed only at 72,000b horfes heels with the drink, and ftaved the calks con- Sendste- In 1046, we have the firft inftance of the London- taining the remainder. King Henry refolved to put prefenta- ers fending reprefentatives to parliament. This hap- a flop to thefe exceffes and favage cuftoms; and there- tives to par-pened on fettling the fucceflion to the throne after Ca- fore publilhed a proclamation at London commanding lament. nute,s dealh< The in general declared for Ed- , that thenceforward all perfons who Ihould be conviaed ward, fon of King Ethelred 5 or, if that could not be of fuch barbarities ftiould have their eyes pulled out, carried, for Hardicanute, fon of Canute by Queen or their hands or feet cut off as the mimfters of juftice Emma, and then abfent on a tour to Denmark. The Ihould think fit. This effeaually checked the inlo- city of London efpoufed the claim and intereft of Ha- lence of the Normans, and the city continued to flou- rold Harefoot, fon alfo of Canute, by Queen Elgiva rifii throughout the reigns of Henry I. and Stephen, of Northampton. Edward’s party foon declined ; and The attachment of the citizens to Stephen, however, the Londoners agreed, for the peace of the realm, that was a crime which never could be forgiven by Henry IT. the two brothers ihould divide the kingdom between and, of confequence, he made them (enfible of his dii- thcm ; but as Hardicanute did not return in proper pleafure, by making frequent demands of money from time to England, a wittena-gemote was held at Ox- them. About this time, indeed, the Londoners wereofth/ ford, where Earl Leofric, and moil of the thanes on arrived at fuch a pitch of licentloufnefs, that their pro-Lond0ners, j the north of the Thames; with the pilots of London, Ipenty feerned a cuiie rather than a bitfling, ihe chofe Harold for their king. Here, by pilots we are Tons of the moft eminent and wealthy citizens entered to underitand the directors, magiftrates, or leading into a confederacy to commit burglaries, and to rob men of the city : and this manifeftly fhow’s, that Lon- and murder all that came in tneii way in the night- don was then of fuch confequence, that no important time. I he king took an opportunity from them irre- national affair was tranfafled without the confent of gularities to enrich himfelf. He demanded feveral the inhabitants j for the Saxon annals affure us, that loans and free gifts -, till at laft the Lonuoners,^ to none were admitted into this aflembly of election but prevent further inquiries into their conduct, paid into the nobility and the pilots of London. the exchequer 5000b in three years, ihefe diforders, _ *5 Qn invafion of the Normans under William I. however, were at laft flopped by the execution of John greatly by London fubmitted as well as the reft of the kingdom j Senexj who, thougn a very rich and reputable citizen, tires, hurri- and received two charters from that prince, confirm- had engaged in thele enterprifes. He offered 5001b. canes, Sec. {ng au privileges they had under the Saxon kings, weight of filver, a prodigious fum in thofe days, for and adding feveral new ones. But while the citizens his pardon, but was refufed. The tving, however, ftill were promifing themfelves all -manner of fecurity and continued to drain the citizens of their money by free tranquillity under the new government, it was almoff gifts5 and at laft fined every feparate guild, fraternity, entirely reduced to afhes by an accidental fire in I077* or company, that had prefumed to aT as oodies corpo- It had fcarce recovered from this calamity, when it rate without the royal letters-patent. was vifited by another of the fame kind in 1086, which On the death of Henry II. the title of the firft ma- began at Ludgate, and deftroyed the beft and moft gifirate of London w'as changed from pottgreve to that opulent part of the city; confuming, among other build- of bailiff; and in 1189 claimed and afted in the office ^ ings, the cathedral of St Paul’s; which, however, was of the chief butler at the coronation of Richard I. In-j^ office foon rebuilt more magnificently than before. Under 1191 this monarch permitted the bailiff, named of mayor j the reign ofWTlliam Rufus, London fuffered confider- Fit%-Alwine, to aflume the title of mayor, F01, in when firft ably by fires, hurricanes, and inundations, and feems 119^ we hnd certain orders of tne mayor and alder- to have been depreffed by the tyranny of that prince; men to prevent fires ; whereby it was ordained, that but Henry I. granted large immunities to the city, all houfes thereafter to be erefted in London and which again revived its trade, and was favourable to the liberties thereof, ftiould be built of ftone, with, the progrefs of the arts. The king, however, ftill re- party-w’alls of the fame ; and covered either with ilates tained the privilege of appointing the portreve, or or tiles, to prevent thofe dreadful calamities by fire, chief magiftrate ; but the immunities grai f -d to the which wrere frequently and chiefly occafioned by houfes Londoners fecured their affe£tions, and tended much built of w'ood, and thatched with ftraw or reeds, to fecure him on the throne. At the fame time, there And for this purpofe, it was alfo provided by the dif- was fuch a plenty of all kinds of provifions, that as creeter men of the city, “ that 12 aldermen of the much corn was fold for is. as w:ould fuffice 100 people city ftiould be chofen in full huftings, and there fworn for a day ; 4d. would purchafe as much hay and corn to aflift the mayor in appeafing contentions that might as would maintain 20 hoxfes for a day ; and a flieep arife among neighbours in the city upon enclofure be- ,5 Could be bought for a groat. twixt land and land, and to regulate the dimenfions of Monftrous Henry thought proper alfo to check the licentious party-walls, which were to be of flone, 16 feet high licentiouf- behaviour of the Normans, which} by the favour and three feet thick ; and to give direftions about nefs of the fbowed tbem under the two Williams, had carried girders, windows, gutters, and wells.” Such confi- JNormaiis. Jnto the niop. barbarous praftices. Thofe who dence alfo did Richard put in the wifdom and faith- followed William Rufus in his excurfions, harafled fulnefs of the city of London, that when it was re- and plundered the country at difcretion. Many of folved to fix a fiandard for weights and meafures for them were fo extravagant in their barbarity, that what the whole realm, his majefty committed the execution they could not eat or drink in their quarters, they ei- thereof to the ftierifts of London and Middlefex, whom £her obliged the people to carry to market and fell he commanded to provide meafures, gallons, iron rods. London. 19 Favours j granted to : [he city by SUng John. London op- preffed by | Henry III. LO N- |[ 1 and weights, for ftandards, to be fent to the feveral counties of England. This happened in 1198, at which time corn was advanced to the enormous price of 18s. 4,d. per quarter. The city of London was much favoured by King John, who granted them three charters foon after his acceffion. The firft was a recital and confirmation of thofe granted by Henry I. and II. with the farther privilege of being free from toll and every other duty or cuftom in his majefty’s foreign dominions j for which they paid the fum of 3000 merks. The fecond was a confirmation of one granted by King Richard. By this the citizens of London had the jurifdiftion and confervancy of the river Thames; with a claufe to extend that jurifdi&ion, and the powers therewith granted, to the river Medway j and with another claufe to enable the faid city, as confervators of the rivers Thames and Medway, to inflift a penalty of 10I. upon any perfon that Ihould prefume t© ere£t a wear in either of thefe rivers. The third charter contains a fee-farm-rent of the Iheriffwicks of London and Middlefex at the ancient rent, of which they had been deprived by Queen Maud •, granting them alfo the ad¬ ditional power of choofing their own fheriffs. This charter was given by way of conveyance from the crown to the citizens for a valuable confideration, by which the fheriffwick became their freehold j and this is the firft covenant or conveyance we find on record with the legal terms of to have and to hold, which are at this time accounted an effential part in all convey¬ ances of property. During the reign of Henry III. the city of London was opprefled in many different ways. In 1218, he exa&ed a fine of 40 marks for felling a fort of cloth not two yards within the lifts ; and a 15th of the citi¬ zens perfonal eftates for the enjoyment of their ancient rights and privileges. In X2?i, he commanded by proclamation all the foreign merchants to depart the city, which drew 30 marks from the Hanfeatic com¬ pany of the Steelyard, to have feifin of their guild or hall in Thames-ftreet. But it was the wreftling match at St Giles’s in the fields that brought on their great- eft burden. In the year 1221, on St James’s day, the citizens of London having carried off the victory from the people of Weftminfter and other neighbour¬ ing villages, the fteward of the abbot of Weftminfter, meditating revenge againft the Londoners, propofed another wreftling match with them, and gave a ram for the prize. The citizens reforted to the place at the time appointed ; but were unexpectedly affaulted by a great number of armed men, who killed and wounded many, and difperfed the reft. This raifed a great commotion in the city. The populace breathed re¬ venge ; and, by the inftigation of Conftantine Fitz- Arnulph, a great favourer of the French party during the troubles in King John’s reign, they proceeded to Weftminfter, and pulled down the houfes both of the fteward and abbot. Hearing afterwards that the ab¬ bot was come into the city with his complaint to Pnilip d’Aubney the king’s counfel, they purfued him, beat his fervants cruelly, took away 12 of his horfes, and would have murdered himfelf, had he not efcaped by a back door. Upon this tumult, Hubert de Bury, then chief jufticiary, fummoned the mayor and many of the principal citizens to attend him in the tower of Vol. XII. Part I. 77 li LON London j and inquiring for the authors of the riot, London, Conftantine, the ringleader boldly anfwered, that “ he ——y"~“ was one j that they had done no more than they ought ; and that they were refolved to avow what they had done, let the confequence be what it would.” In this he was feconded by his nephew and one Geof¬ frey : but the jufticiary, having difmiffed all the reft, detained thefe three, and ordered them to be hang¬ ed next morning, though Conftantine offered 15,000 marks for his pardon. Hubert then coming into the city with a ftrong guard, caufed the hands and feet of moft of the principal rioters he could feize to be cut off: all which was executed without any legal pro¬ ceedings or form of trial. After thefe arbitrary cruel¬ ties, he degraded the mayor and all the magiftrates 5 placed a cujlos over the city, and obliged 30 perfons of his own choofing to become fecurities for the good behaviour of the whole city. Several thoufand marks were alfo exacted by the king, before he would confent to a reconciliation. This arbitrary condudt alarmed the whole nation. The parliament of 1224 began to be uneafy for them- felves, and addreffed his majefty that he would be plea- fed to confirm the charter of liberties which he had fworn to obferve 5 and the confequence of this applica¬ tion was a confirmation of the magna charta in the full parliament at Weftminfter in the year 1225. At this time, alfo, the rights and privileges of the citizens were confirmed. They were exempted from profecu- tion for burels, i. e. lifted cloth j and were granted the right of having a common feal. The neceffitous cir- cumftances of this monarch, however, made him often exa£t money arbitrarily as long as he lived. Under the fucceeding reigns, as the liberty of the people in general was augmented, fo the liberty, opu¬ lence, and power of the citizens of London increafed, until they became a kind of balance to the power of the crown itfelf, which in feme meafure they ftill continue to be. Riots indeed, for which they generally fuffered, were by no means unfrequent 5 the city often fuffered by fires and plagues. Nothing, however, happened w’hich materially affe&ed the welfare of the city, till 2x the reign of Charles II. in 1665.—This year London Dieadful was ravaged by the moft violent plague ever known in ’^a§ue *n Britain. The whole fummer had been remarkably ftill i663‘ and warm, fo that the weather w'as fometimes fuffoeating even to people in perfeft health ; and by this unufual heat and fultry atmofphere, people were undoubtedly prepared for receiving the infedion, which appeared with violence in the months of July, Auguft, and September. A violent plague had raged in Holland in the year 1663 j on which account the importation of merchandife from that country was prohibited by the.Britfth legiflature in 1644. Nptwithftanding this prohibition, however, it feems the plague had actually been imported ; for in the clofe of the year 1664, two or three perfons died fuddenly in Weftminfter, with marks of the plague on their bodies. Some of their neighbours, terrified at the thoughts of their danger, removed into the city 5 but their removal proved too late for themfelves, and fatal to thofe among whom they came to refide. They foon died of the plague ; and communicated the infection to fo many others) that it became impoffible to extinguiftr the feeds of it, by feparating thofe that were infefted from fuch as Z were London. LON [ i It was confined, however, through a hard 78 1 LON were not. , . ~ . frofty winter, till the middle of February, when it again appeared in the parilh of St Giles’s, to which it had been originally brought j and, after another long reft till April, fliowed its malignant force afrefh,_ as foon as the warmth of the fpring gave it opportunity. At firft, it took off one here and there, without any certain proof of their having infected each other, and houfes began to be ftmt up, with a defign to_ prevent its fpreading. But it was now too late j the infection gained ground every day, and the ihutting up of houfes only made the diieafe fpread wider. People, afraid of being fliut up, and fequeftered from all com¬ munication with fociety, concealed their illnefs, or found means to efcape from their places of confinement j while numbers expired in the greateft torments, defti- tute of every afliftance j and many died both of the plague and other difeafes, who would in all probabi¬ lity have recovered, had they been allowed their liberty, with proper exercife and air.—A houfe was fliut up on account of a maid-fervant, who had only fpots, and not the gangrenous plague-blotches, upon her, fo that her diftemper was probably a petechial fever. She recovered 5 but the people of the houfe obtained no liberty to ftir, either for air or exercife, for 40 days. The bad air, fear, anger, and vexation at¬ tending this injurious treatment, caft the miftrefs of the family into a fever. The Vifitors appointed to fearch the houfe, faid it was the plague, though the phyficians were of a different opinion : the family, however, were obliged to begin their quarantine anew though it bad been almoft expired before ; and this fecond confinement affedted them fo much, that uioft of the family fell fick, fome of one diftemper and fome of another. Every illnefs that appeared in the family produced a frefh prolongation of their confinement j till at laft the plague was actually brought in by fome of thofe who came to inquire into the health of the family, and almoft every perfon in the houfe died.—- Many examples of a fimilar kind happened, and this was one of'the worft confequences of ftiutting up houfes. All means of putting a flop to the mfeaion were evidently ineffedtual. Multitudes fled into the country j many merchants, owners of ftiips, kzc. {hut themfelves up, on board their veffels, being fupphed with provifions from Greenwich, Woolwich, and Angle farm houfes on the Kentifli fide. Here, however, they were fafe •, for the infeaion never reached below Deptford, though the people went frequently on ftiore to the country towns, villages, and farm houfes, to buy frefli provifions. As the violence of the plague increafed, the (hips which had families on board re¬ moved farther off; fome went quite out to fea, and then put into fueh harbours and roads as they could beft get at. . , „ In the mean time, the diftemper made the molt ra¬ pid advances within the city. In the laft week of July the number of burials amounted to 2010 j but the firft week of Auguft it rofe to 3817 j thence to 3880 •, then to 4237 •, the next week, to 6102 5 and at laft to 7000 and 8000 weekly. In the laft week of September, however, the fury of the difeafe began to abate •, though vaft numbers were fick, yet the number of burials decreafed from 7155105538-, the- j^Kjt week there was a farther decreafe to 4929, then 3 to 4327, next to 2665, then to 1421, and the next London, week to 1031. v ~ J All this while, the poor people had been reduced to the greateft diftreffes, by reafon of the ftagnation of trade, and the fickneffes to which they were pe¬ culiarly liable on account of their manner of living. The rich, however, contributed to their fubfiftence in a moft liberal manner. Uhe fums colledled on. this occafion are indeed almoft incredible j being faid to amount to 100,000!. per week. Ihe king is report¬ ed to have contributed 1000I. weekly ; and in the pa- rifli of Cripplegate alone, 17,000!. was dittributed weekly among the poor inhabitants.—By the vigilance alfo of the magiftrates, provilions continued remark¬ ably cheap throughout the whole time of tnis dreadful calamity, lo that all riots and tumults on that account were prevented j and at laft, on the ceffalion of the difeafe in the winter of 1665, the inhabitants who bad fled returned to their habitations, and i_.«iidon to ap¬ pearance became as populous as ever, though it was computed that 100,000 perfons had been carried off by the plague. _ 22 The city was fcarcely recovered from the defolation .Accountof occafioned by the plague, when it was aknoft totally laid in afties by a moft dreadful fire. I his broke, out in a baker’s {hop in Pudding-lane, on Saturday night, September 2. 1666. In a few hours Billingfgate ward was entirely burnt down j and before morning the fire had croffed Thames-ftreet, and deftroyed the church of St Magnus. From thence it proceeded to the bridge, and confumed a great pile of buildings there ; but. was flopped by the want of any thing more to de- ftroy. The flames, however, being fcattered by a ftrong call wind, continued their devaftations in other quarters. All efforts to ftop it proved unfuccefsful throughout the Sunday. That day it proceeded up.as far as Garlick-hithe j and deftroying Canon-flreet, in¬ vaded Cornhill and the Exchange. On. Pvlonday, the flames having proceeded eaftward againft the wind through Thames-ftreet, invaded Tower-ftreet, Grace- church-ftreet, Fenchurch-ftreet, Dowgate, Old Fifh- ftreet, Watling-ftreet, Threadneedle-ftreet, and feveral others, from ail which it broke at once into Cheapfide. In a few hours Cheapfide was all in flames, the fire having reached it from fo many places at once. The fire then continuing its courfe from the river on one fide, and from Cheapfide on the other, furrounded the cathedral of St Paul’s. This building flood by itfelf at fome diftance from any houfes j yet fuch was the violence of the flames, and the heat of the atmoiphere occafioned by them, that the cathedral took fire at top. The great beams and maffy ftones broke through into Faith-church underneath, which was quickly let on fire -, after which, the flames invaded Pater-nofter- row, Newgate-ftreet, the Old Bailey, Ludgate-hill, Fleet-ftreet, Ironmonger-lane, Old Jewry, Laurence- lane, Milk-ftreet, Wood-ftreet, Gutter-lane, Fofter- lane, Lothbury, Cateatori-ftreet; and, having deftroy¬ ed Chrift-church, burnt furioufly through St Martin’s le Grand towards Alderfgate. The fire had now attained its greateft extent, and was feveral miles in compafs. The vaft clouds of fmoke obfcured the fun fo, that he either could not be feen at all, or appeared through it as red as blood. The flames reached an immenfe way up into the air, and theiv London. *3 . Calculation of the da- tsatje done. LON [i their reflexion from the fmoke, which in the night¬ time feemed alfo like flame, made the appearance ftill more terrible. The atmofphere was illuminated to a great extent, and this illumination is faid to have been vifible as far as Jedburgh in Scotland. Some of the lio-ht allies alfo are faid to have been carried to the diflance of 16 miles. Guildhall exhibited a Angular appearance. X he oak with which it was built was lo folid, that it would not flame, but burnt like charcoal, fo that the building appeared for feveral hours like an enchanted palace of gold or burnilhed brafs. At lafl, on Wednefday morning, when every one expedled that the fuburbs as well as the city were to have been burnt, the fire began of itfelf to abate by reafon of the wind having ceafed, and fome other changes no doubt taken place in the atmofphere. It was checked by the great building in Leadenhall- ftreet, and in other ftreets by the blowing up feveral houfes with gun-powder ■, and on Xhurfday the flames were quite extinguilhed.— Ihe following is a calcula¬ tion of the damage done by this extraordinary confla¬ gration. Thirteen thoufand tw^o hundred houfes, at 12 years purehafe, luppoling the rent of each 25I. llerling, L.3,960,000 Eighty-feven parifli churches, at 8000I. 696,000 Six confecrated chapels, at 2000I. 12,000 The royal exchange - - 50,000 The ciiftomhoufe _ _ - 10,000 Fifty-two halls of companies, at 1500I. each - - - - 78,000 Three city gates, at 3000I. each 9000 Jail of Newgate ... 15,000 Four Hone bridges - - 6000 Seflions houfe - - - 7000 Guildhall, with the courts and offices belonging to it - - 40,000 Blackwell-hall - - - 3000 Bridewell - _ . - 5000 Poultry compter - - - 5000 Woodftreet compter - - 3000 St Paul’s church . _ - 2,000,000 Wares, houfehold fluff, money, and moveable goods loft or fpoiled 2,000,000 Hire of porters, carts, waggons, barges, boats, &c. for removing goods 200,000 Printed books and paper in Ihops and warehoufes - - - 150,000 Wine, tobacco, fugar, &c. of which the town was at that time very full ... - 1,500,000 L.10,689,000 It was never certainly known whether this fire was accidental or defigned. A fufpicion fell upon the Pa- pifts 5 and this gained fuch general credit, that it is afferted for a truth on the monument which is erefted in memory of the conflagration. Of the truth of this affertion, however, though there was not fufficient proof, it had the efteift of making the Papifts moft violently fufpedled and abhorred by the Proteftants, which fome time after proved very prejudicial to the city itfelf. London. 24 79 ] LON From this calamity, great as it was, London foon recovered itfelf, and became much more magnificent than before ; the ftreets, which were formerly crooked and narrow, being now built v'ide and fpacious 3 and the induftry of its inhabitants repaired the Ioffes they had fuftained. In 1679, ^ c*ty was again alarmed by the difeovery of a defign to deftroy it by fire a fe- Cond time. Elizabeth Oxly, fervant to one Rind in Fetter-lane, having fet her mafter’s houfe on fire, was A cuign apprehended on fufpicion, and confeffed, that ffie had*° *^lt been hired to do it by one Stubbs a Papift, for a ward of 5I. Stubbs being taken into cuftody, ac¬ knowledged that he had perfuaded her to it} and that he himfelf had been prevailed upon by one Father Gifford his ccnfeffor, who had affured him, that by burning the houfes of heretics he would do a great fer- vice to the church. He alfo owned that he had feveral conferences with Gifford and two Irilhmen on the affair. The maid and Stubbs alfo agreed in declaring, that the Papifts intended to rife in London, expefting to be powerfully fupported by a French army. In confe- quence of this difeovery, the Papifts were baniffied from the city, and five miles round, and five Jefuits were hanged for the above-mentioned plot. The Papifts thought to revenge themfelves by for¬ ging what was called the meal-tub plot, in which the Prefbyterians were fuppofed to hatch treacherous de- 25 figns againft the life of the king. Sir Edmondbury Godfrey alfo, who had been very aftive in his pro-^ontoa ceedings againft the Papifts, w'as murdered by fome quarrel unknown perfons 5 and this murder, together with with the their difeovering the falfehood of the meal-tub plot,court* fo exafperated the Londoners, that they refolved to ffiow' their deteftation of Popery, by an extraordinary exhibition on the 17th of November, Queen Eliza¬ beth’s acceffion to the throne, on which day they had nfually burnt the pope in effigy. The proceffion be¬ gan with a perfon on horfeback perfonating Sir Ed- mondbury Godfrey, attended by a bellman proclaim¬ ing his execrable murder. He was followed by a per¬ fon carrying a large filver crofs, with priefts in copes, Carmelites, and Gray-friars, followed by fix Jefuits : then proceeded divers waiters, and after them fome bilhops wuth lawn fleeves, and others with copes and mitres. Six cardinals preceded the pope, enthroned in a ftately pageant, attended by divers boys with pots of incenfe, and the devil whifpering in his ear. In this order they marched from Biftiopfgate to Fleet-ftreet j and there, amidft a great multitude of fpe&ators, com¬ mitted his holinefs to the flames. This proceffion gave great offence to the court, at which the duke of York, afterwards James II. had a great influence. The breach was farther widened by the choice of Iheriffs for that year. The candidates fet up by the court were rejected by a majority of al- moft two to one j but this did not deter their party from demanding a poll in their behalf, upon which a tumult enfued. This was reprefented by the Popilh party in fuch colours to the kffig, that he iffued out a commiffion that fame evening for trying the rioters j which, however, was fo far from intimidating the reft, that they grew more and more determined, not only to oppofe the Popifli party, but to exclude the duke of York from his fucceflion to the crown. Z 2 ’ Ir LON [ iSo ] LON London. a5 A ^uo Warranto granted againft the city. In the mean time, the king prorogued the parlia¬ ment, to prevent them from proceeding in their in¬ quiry concerning the Popifh plot, and the exclufion- bill. Upon this the lord-mayor, aldermen, and com¬ mon-council, prefented a petition to his majefty, in tvhich they requefted, that he would permit the parliament to fit in order to complete their falutary meafures and councils. This petition was highly re¬ lented by the king j who, inftead of granting it, dif- lolved the parliament, and could never afterwards be reconciled to the city. From this time it was deter¬ mined to feize their charter $ and frefli provocations having been given about the ele&ion of Iheriffs, a quo warranto was at laft produced by the attorney-gene¬ ral, in order to overthrow their charter, and thereby to deprive the citizens of the power to choofe Iheriffs. This information fet forth, That “ the mayor and commonalty and citizens of the city of London, by the fpace of a month then laft part and more, ufed, and yet do claim to have and ufe, without any lawful warrant or legal grant, within the city of London aforefaid, and the liberties and privileges of the fame city, the liberties and privileges following, viz. I. To be of themfelves a body corporate and politic, by the name of mayor and commonalty and citizens of the city of London. 2. To have ftieriffs civitat. et. com. London, et com. Midd/efex, and to name, make, and eleft, and conftitute them. 3. That the mayor and aldermen of the faid city ftrould be juftices of the peace, and hold feffions of the peace. All which liberties, privileges, and franchifes, the faid mayor and commonalty, and citizens of London, upon the king did by the fpace aforefaid ufurp, and yet do ufurp.” Though nothing could be more unjuft than this profecution, the miniftry were determined at all events to crufti the Londoners j rightly judging, that it would be an eafy matter to make all other corporations furrender their charters into the king’s hands, and that they had no other body in the nation to fear. Accordingly they difplaced fuch judges as would not approve of their proceedings j and, on the 12th of June 1683, Juftice Jones pronounced the following fentence : “ That a city might forfeit its charter 5 that the malverfations of the common-council were afts of the whole city ; and that the points fet forth in the pleadings were juft grounds for the forfeiting of a charter.” Notwithftanding this fentence, however, the attor- ney-general, contrary to the ufual cuftom in fuch cafes, was diredled to move that the judgment might not be recorded : being afraid of the confequences. Yet it was judged that the king might feize the liberties of the city. A common-council was immediately fum- moned to deliberate on this exigency. The country party moved to have the judgment entered •, but they were overruled by the court party, who infifted upon an abfolute fubmiflion to the king before judgment was entered *, and though this was in effedt a voluntary furrender of the city-liberties, and deprived them¬ felves of the means of getting the judgment reverfed, the adt of fubmiflion was carried by a great majority : and. in a petition from the lord mayor, aldermen, and common-council, they “ acknowledged their own mif- government, and his majefty’s lenity ; begged his par- 4 don, and promifed conftant loyalty and obedience j and t&ndon, humbly begged his majefty’s commands and diredlions.” To this his majefty ani’wered, that he would not rejedt their fuit, if they would agree upon the following par- condmons titulars. 1. That no lord mayor, IherifF, recorder, of reconci- common ferjeant, town clerk, or coroner, of the city of Nation be- London, or fteward of the borough of Southwark, ^wten tl,e fhall be capable of, or admitted to, the exercife of their aiu* refpediive offices before his majefty lhall have appro¬ ved of them under his fign manual. 2. That if his majefty {hall difapprove the choice of any perfen to be lord mayor, and fignify the fame under his fign-manual to the lord mayor, or in default of a lord mayor, to the recorder or fenior alderman, the citizens fhall, within one week, proceed to a new choice and if his majefty (hall in like manner difapprove the fecond choice, his majefty may, if he pleafes, nominate a perfon to be lord mayor for the year enfuing. 3. If his majefty fhall, in like manner, difapprove the perfons chofen to be Iheriffs, or either of them, his majeity may appoint ftieriffs for the year enfuing. 4. That the lord mayor and court of aldermen may, with the leave of his majefty, difplace any alderman, recorder, &c. 5. Upon the eledlion of an alderman, if the court of aldermen Ihall judge and declare the perfon prefented to be unfit, the ward {hall choofe again ; and upon a difapproval of a fecond choice, the court may appoint another in his room. 6. That the juftices of the peace fliould be by the king’s commiflion ; and the fettling of thofe matters to be left to his majefty’s attorney-general and counfel learned in the law.” To thefe the lord-keeper added, in the king’s name, “ That thefe regulations being made, his majefty would not only pardon this profecution, but would confirm their charter in fuch a manner as ftiould be confiftent with them j concluding thus : “ My lord mayor, the term draws towards an end, and Midfummer-day is at hand, when fome of the officers ufed to be chofen whereof his majefty will referve the approbation. There¬ fore, it is his majefty’s pleafure, that you return to the city, and confult the common-council, that he may fpeedily know your refolutions thereupon, and accord- ingly give his directions. That you may fee the king is in earneft, and the matter is not capable of delay, I am commanded to let you know he hath given orders to his attorney-general to enter upon judgment on Sa¬ turday next 5 unltfs you prevent it by your compliance in all thefe particulars.” A common-council was fummoned, when the friends of liberty treated thofe flavifti conditions as they de- ferved j and even declared, that they were ready to fa- crifice all that was near or dear to them, rather than fubmit to fuch arbitrary impofitions : but when it was put to the vote, there appeared a majority of 18 for fubmiffion. Thus the king got the government of the city into his own hands, though he and his brothers entirely loft the affeftions of the Londoners. But, not content with king their fubmiflion, his majefty departed from his promife ; breaks hi: commanded the judgment upon the quo warranto to promife. be entered ; and commiflioned Sir William Pritchard, the lord mayor, to hold the fame office during his ma¬ jefty’s pleafure. In the fame manner he appointed or difplaced the other magiftrates as he thought proper j after LON [ 181 J LON London, after which the miniftry, having nothing to fear, pro- .—v ceeded in the moft arbitrary manner. 29 In this fubjedtion to the will of the court, the city "the c^ty L°ndon continued till the Revolution ; but, in 1689, 'ftored. the immediate reftoration of the Londoners to their franchifes was ordered j and in fuch a manner and form, as to put it out of the powers of an arbitrary miniftry and a corrupt judge and jury to deprive them of their chartered liberties for the time to come. Accordingly a bill was brought into parliament, and paffed, for re- verfing the judgment of the quo warranto againft the city of London, and for reftoring the fame to its ancient rights and privileges. Since that time the city of Lon¬ don hath enjoyed tranquillity j its commerce hath been carried to the higheft pitch ; and for the politenefs, riches, and number of its inhabitants, as well as its extent and the magnificence of its buildings, is inferior to no city in Europe, if not fuperior to every one. Defcription That part of this immenfe capital which is diftin- jf the city, guithed by the name of The City, ftands on the north Ihore of the river, from the Tower to the Temple, oc¬ cupying only that fpace formerly encempafled by the w7all, which in circumference meafures but three miles and 165 feet. In this wall there were feven gates by land, viz. Ludgate, Aldgate, Cripplegate, Alderfgat^, Moorgate, Biftiopfgate, which were all taken down in September 17605 and Newgate, the county gaol, which was alfo taken down in 1776, and a miffive building erefted a little fouth of it, which by the riot¬ ers in 1780 received damage to the amount of 8o,oool. On the fide of the water there were Dowgate and Billingfgate, long fince demoliihed, as well as the poftern-gate near the Tower. In the year 1670, there wTas a gate ere&ed called Temple-Bar, which termi¬ nates the bounds of the city weftward. The liberties, or thofe parts of this great city which are fubjeft to its jurifdiclion, and lie without the walls of London, are bounded on the eaft, in Whitechapel, the Mino- ries, and Bifhopfgate, by bars, which were formerly pofts and chains, that were frequently taken away by arbitrary power, when it was thought proper to feize the franchifes of the city of London: on the north, they are bounded in the fame manner in Pickaxe- ftreet, at the end of Fan-alley, and in St John’s-ftreet : on the weft, by bars in Holborn : at the eaft end of Middle Row, and at the weft end of Fleet-llreet, by the gate called Temple-Bar, already mentioned : on the fouth, we may include the jurifdidlion which the city holds on the river Thames, and over the borough of Southwark. The city, including the borough, is at prefent divid- 31 ed into 26 wards. Divifionin- 1. Alderfgate ward takes its name from a city-gate towards, which lately flood in the neighbourhood. It is bound¬ ed on the eaft by Cripplegate ward 5 on the weft, by Farringdon ward within and without 5 and on the fouth, by Farringdon ward within. It is very large, and is divided into Alderfgate-within and Alderfgate- without. Each of thefe divifions confifts of four pre- cinfts, under one alderman, eight common-council men, of whom two are the alderman’s deputies, eight con- ftables, fourteen inqueft-men, eight fcavengers, and a beadle j exclufive of the officers belonging to the li¬ berty of St Martin’s le Grand, which contains 168 London, houfes. v 2. Aldgate takes its name alfo from a gate, which Was of great antiquity, being mentioned in King Ed¬ gar’s charter to the knights of the Knighton Guild about the year 967 5 and was probably of a much more ancient foundation, for it was the gate through which the Roman vicinal way lay to the ferry at Old- ford. In the time of the wars betwixt King John and his barons, the latter entered the city through this gate, and committed great devaftations among the houfes of the religious. Aldgate was rebuilt by the leaders of the party after the Roman manner. They made ufe of ftone which they brought from Caen, and a fmall brick called the Flanders tile, which Mr Pen¬ nant thinks has been often miftaken for Roman. The new gate was very ftrong, and had a deep well within it. In 1471, this gate was affaulted by the Baftard of Falconbridge, who got pofleflion of it for a few hours 5 but the portcullis being drawn up, the troops which had entered were all cut off, and the citizens, headed by the alderman of the ward and recorder, having made a fally, defeated the remainder w ith great flaugh- ter. In 1606, Aldgate was taken down and rebuilt j and many Roman coins were found in digging the foundations.—The ward of Aldgate is bounded on the eaft by the city wall, which divides it from Port- foken ward 5 on the north, by Biftiopfgate ward 5 on the weft, by Lime-ftreet and Langbourn wards 5 and on the fouth, by Tower-ftreet ward. It is governed by an alderman, fix common-council men, fix conftables, twenty inqueft-men, feven fcavengers, and a beadle 3 befides the officers belonging to St James’s, Duke’s Place.—It is divided into feven precindts. 3. BaJJifhazv or Bajinghatl ward, is bounded on the eaft and fouth by Coleman-ftreet ward, on the north by part of Cripplegate, and on the weft by part of the wards of Cheap and Cripplegate. On the fouth, it begins at Blackwell-hall; and runs northward to London-wall, pulled down fome time ago to make way for new buildings in Fore-Jlreet, and fpreads 88 feet eaft, and 54 feet weft againft; the place where that wall flood. This is a very fmall ward, and confifts only of two precindls : the upper precinbt contains no more than 66, and the lower only 76 houfes. It is governed by an alderman, four common-council men, of whom one is the alderman’s deputy, three con¬ ftables, feventeen inqueft-men, three fcavengers, and a beadle. It has its name from Bafinghall, the man- fion-houfe of the family of Bajings, which wras the principal houfe in it, and flood in the place of Blacks well-hall. 4. Billingfgate ward is bounded on the eaft by Tower-ftreet ward 5 on the north, by Langbourn ward 3 on the weft, by the ward of Bridge-within j and on the fouth, by the river Thames. There have been many conjectures concerning the origin of the name of Bil/ingfgate, none of which feems to be very w'ell authenticated. It is, for inftance, fuppofed to have derived its name from a Britiffi king named Beli- nus, faid to have been an affiftant of Brennus king of the Gauls at the taking of Rome, and is the fame with the Beli-Maur mentioned in the Welffi genealogies. The name of Ludgate is laid to be derived from his fon Lud. LON [ 182 ] LON London. Lud.—It is divided into 12 precin&s $ and is governed by an alderman, xo common-council men, one of whom is the alderman’s deputy, 11 conltables, 14 inqueft-men, lix fcavengers, and a beadle. The fituation of Billingf- gate, on the river, gives it great advantages with re- fpeft to trade and merchandife j fo that it is well in¬ habited, and is in a continual hurry of bulinefs at the fe- veral wharfs or quays. , 5. Rifbopfgale ward is bounded on the eaft by Aid- gate ward, Portfoken ward, and part of the Tower- liberty, or Norton-falgate 5 on the well, by Broad-ftreet ward and Moorfields ; and on the fouth, by Langbourn^ ward. It is very large, and divided into Bilhopfgate- within and Bilhopfgate-without. The firlt contains all that part of the ward within the city-wall and gate, and is divided into five precindls •, the fecond lies without the wall, and is divided into four precinffs. Bilhopfgate-without expends to Shoreditch, taking its name from one Sir John de Sorditch, an eminent law¬ yer much in favour with King Edward III. both on account of his knowledge in the law, and of his perfonal valour. In the time of Henry VIII. one Barlo, a citizen and inhabitant of this place, was named duke of Shoreditch, on account of his Ikill in archery ; and, for a number of years after, the title belonged to the captain of the London archers. This Avard is governed by an alderman, tAvo deputies, one Avithrn and the other without, 12 common-council men, feven conlfables, 13 inqueft~men, nine fcavengers, and two beadles. It took its name from the gate, Avhieh has been pulled down to make that part of the city more airy and commodious. This gate was built by Erkenwald bilhop of London in 675 j and it is faid to have been repaired by William the Conqueror foon after the Norman conqueit. In the time of Henry III. the Hanfe merchants had certain privileges confirmed to them, in return for which theyAvere to fupport this gate *, and in confequence of this they rebuilt it ele¬ gantly in 1479. There were two ftatues of bilhops, in memory of the founder and firft repairer •, other tw’o were alfo put up, which are fuppofed to have been de- figned for Alfred and iEldred earl of Mercia to whofe care the gate had been committed. 6. Breadfireet ward is encompaffed on the north and north-Aveft, by the ward of Farringdon-Avlthin j on the eaft, by Cordwainers Avard j on the fouth by Queenhithe ward 5 and on the weft, by Caftle-Bay- nard w ard. It is divided into 13 precindls j and is governed by an alderman, 12 common-council men, of whom one is the alderman’s deputy, 13 conftables, 13 inqueft-men, 13 fcavengers, and a beadle 5 and yet contains no more than 331 houfes. It fakes its name from the ancient bread-market, Avhich Avas kept in the place now called Bread-Jireet; the bakers being obliged to fell their bread only in the open market and not in ihops. 7. Bridge-ward-within is bounded on the fouth by the river Thames and Southxvark ; on the north, by Langbourn and Biihopfgate ward 5 on the eaft, by Billingfgate ; and on the Aveft, by Candlexvick and Dowgate wards. It is divided into 14 precirxfb, three of which were on London bridge ; and is governed by an alderman, 15 common-council men, one of whom is the alderman’s deputy, 14 conftables, 15 inqueft-men, 14 fcaArengers, and a beadle. It takes its name from London, its connexion with London bridge. y— 8. Broad-freet ward is bounded, on the north and eaft, by Bilhopfgate Avard j on the louth, by Cornhill and W allbrook Avard ; and on the weft by Coleman- ftreet AA’ard. It is divided into 10 precinfls j and go¬ verned by an alderman, 10 common-council men, one of Avhom is the alderman’s deputy, 10 conftables, 13 inqueft men, eight fcavengers, and a beadle. It has its name from that part of it now diftinguilhed by the name of Old Broadf reel; and which, before the fire of 1666, was accounted one of the broadeft ftreets in London. 9. Candlewick ward, Candlewick-Jlreet, or Candle- wrightfreet ward as it is called in fome ancient re¬ cords, is bounded on the eaft by Bridge ward $ on the fouth, by Dowgate and part of Bridge ward •, on the Aveft, by Dowgate and Wallbrook 3 and on the north, by Langbourn A\ard, It is but a fmall ward, confin¬ ing of about 286 houfes ; yet it is divided into fev'en precindts. It is governed by an alderman, eight common-council men, of whom one is the alderman’s deputy, feven conftables, 13 inqueft-men, feven fca* vengers, and a beadle. It has its name from a ftreet, formerly inhabited chiefly by candle aa'rights or candle- makers, both in tallow and Avax : a very profitable bu- finefs in the times of Popery, when incredible quanti¬ ties of wax candles were conlumed in the churches. That ftreet, however, or at leaft its name, Candlewitk, is loft fince the great conflagration, for Avhich the name Canon-freet is fubftituted, the candle w rights be¬ ing at that time burnt out and drlperfed through the city. 10. Cajlle-Boynard ward is bounded by Queen¬ hithe and Brcad-ftreet wards on the eaft 3 on the fouth, by the Thames 3 and on the Aveft and north by the Avard of Farringdon-within. It is divided into 10 pre- cindls, under the government of an alderman, 10 com¬ mon-council men, one of Avhom is the alderman’s de¬ puty, nine conftables, 14 inqueft men, feven fcavengers, and a beadle. It takes its name from a caftle built on the bank of the river by one Baynard, a foldier of fortune, AA hocame in with William the Conqueror, and was by that monarch raifed to great honours and au¬ thority. 11. Cheap ward is bounded on the eaft by Broad- ftreet and Wallbrook wards 3 on the north, by Cole- man-ftreet, BafliftiaAv, and Cripplegate 3 and on the fouth, by Cordwainers ward. It is divided into nine precinfts 3 and is governed by an alderman, 1 2 common- council men, of Avbom one is the alderman’s deputy, 11 conftables, 13 inqueft-men, nine fcavengers, and a beadle. It has its name from the Saxon word chepe, which fignifies a market, kept in this divifion of the city, now called Cheapfde : but then knoAvn by the name of Wef cheap, to diftinguilh it from the market then alfo kept in Eaftcheap, betAveen Canon or Candle- wick-ftreet and Tower-ftreet. 1 2. Coleman-freet ward is bounded on the eaft by Bilhopfgate, Broad-ftreet, and Cheap Avards 3 on the north, by Cripplegate Avard, Middle Moorfields, and Bilhopfgate 3 on the fouth, by Cheap ward 3 and on the weft, by BaflifhaAV Avard. It is divided into fix pre- cinfts 3 and is governed by an alderman, fix common- council LON [ r /melon, council men, one of whom is the alderman’s deputy, --v ^ fix conftables, 13 inqueft-men, fix fcavengers, and a beadle. The origin of the name is not certainly known. 13. Cordwainers ward is bounded on the eaft by Wallbrook, on the fouth by Vintry ward, on the weft by Bread-ftreet, and on the north by Cheap ward. It is divided into eight precinfts ; and is governed by an alderman, eight common-council men, one of whom is the alderman’s deputy, eight conftables, 14 inqueft- men, eight fcavengers, and a beadle. Its proper name is Cordwainers-Jlreet ward; which it has from Cordwainers-ftreet, now Bow-lane, formerly occupied chiefly by Ihoemakers and others that dealt or worked in leather. 14. Cornhill ward is but of fmall extent. It is bounded on the eaft by Bithopfgate, on the north by Broad-ftreet, on the weft by Cheap ward, and on the fouth by tangbourn ward. It is divided into four precinfts, which are governed by one alderman, fix common-council men, of whom one is the alderman’s deputy, four conftables, 16 inqueft-men, four fcaven¬ gers, and a beadle. It takes its name from the prin¬ cipal ftreet in it, known from the earlieft ages by the name of Cornhill, becaufe the corn-market was kept there. , 15. Cripplegate ward is bounded on the eaft by Moorfields, Coleman-ftreet ward, Baflrlhaw ward, and Cheap ward} on the north by the parilh of St Luke’s, Old-ftreet; on the weft, by Alderfgate ward •, and on the fouth, by Cheap ward. It is divided into 13 pre¬ cincts, nine within and four without the wall j and is governed by an alderman, 12 common-council men, of w'hom two are the alderman’s deputies, 13 conftables, 34 inqueft-men, 16 fcavengers, and three beadles. It takes its name from Cripplegate, which flood on the north-weft part of the city wall. It was an old plain ftruCture, void of all ornament, with one poftern ; but had more the appearance of a fortification than any of the other gates. It w-as removed in order to widen the entrance into Wood-ftreet, which, by the narrownefs of the gateway, was too much contracted and rendered dangerous for paflengers and great waggons. 16. Dowqate ward is bounded on the eaft by Candle- wdek and Bridge wards, on the north by \Vallbrook ward, on the weft by Vintry ward, and on the fouth by the Thames. It is divided inio eight precinCts, under the government of an alderman, eight common council men, of whom one is the alderman’s deputy, eight conftables, 15 inqueft men, five fcavengers, and a beadle. It has its name from the ancient water gate, called Daurgate, which was made in the original wall that ran along the north fide of the T hames, for the fecurity of the city agamft all attempts to invade it by water. 1 Yarringdon ward within is bounded on the eaft by Cheap ward and Baynard-caftle ward ; on the north, by Alderfgate and Cripplegate wards, and the liberty of St Martin’s le Grand 5 on the weft by Farringdon- without \ and on the fouth by Baynard-caftle ward and the river Thames. It is divided into 18 precinCts j and governed by one alderman, common-council men, of whom one is the alderman’s deputy, 19 con¬ ftables, 17 inqueft-men, 19 fcavengers, and two beadles. It takes its name from William Faningdon 83 ] LON citizen and goldfmith of London, who, in 1279, pur- chafed all the aldermanry with the appurtenances, ^ within the city of London and fuburbs of the fame, between Ludgate and Newgate, and alfo without thefe gates. 18. Farringdon ward without is bounded on the eaft by Farringdon within, the precinCt of the late priory of St Bartholomew near Smithfield, and the ward of Alderfgate ; on the north, by the Charter-houfe, the pariih of St John’s Clerkenwell, and part of St An¬ drew’s parifh without the freedom 5 on the weft, by High Holborn and St Clement’s parilh in the Strand j and on the fouth by the river Thames. It is governed by one alderman, 16 common-council men, of whom two are the alderman’s deputies, 23 conftables, 48 in¬ queft-men, 24 fcavengers, and four beadles. It takes its name from the fame goldfmith who gave name to Farringdon within. 19. Langbourn ward is bounded on the eaft by Aid- gate ward ; on the north, by part of the fame, and Lime-ftreet ward 5 on the fouth, by Tower-ftreet, Bil- lingfgate, Bridge, and Candlewdck wards; and on the weft by Wallbrook. It is divided into 12 precinCts. It had its name from a rivulet or long bourn of frelh water, which anciently flowed from a fpring near Magpye alley adjoining to St Catherine Coleman’s church. 20. Limcftreet voard is bounded on the eaft and north by Aldgate ward, on the weft by Bilhopfgate 5 and on the fouth by Langbourn ward, it is divided into four precinCts j and governed by an alderman, four common-council men, one of whom is the alderman’s deputy, four conftables, 13 inqueft-men, four fcaven¬ gers, and a beadle. It is very fmall 5 and has its name from feme lime kilns that were formerly built in or near Lime-ftreet. 21. Portfoken ward is bounded on the eaft by the parilhes of Spitalfields, Stepney, and St George’s in the eaft ; on the fouth, by Tower-hill ; on the north, by Bifhopfgate ward, and on the weft by Aldgate ward. It is divided into five precinCts ; and is go¬ verned by an alderman, five common-council men, one of whom is the alderman’s deputy, five conftables, 19 inqueft-men, five fcavengers, and a beadle. Its name fignifies the franchife of the liberty gate. I Iris Portfoken was for fome time a guild \ and had its beginning in King Edgar, when 13 knights, “ well beloved of the king and realm, for fervices by them done,” requefted to have a certain portion of land on the eaft part of the city left defolate and forfaken of the inhabitants by reafon of too much fervitude. They befought the king to have this land, with the liberty of a guild for ever. The king granted their requeft on the following condi¬ tions, viz. that each of them thould viClorioufly accom- plifh three combats, one above the ground, one under ground, and the third in the water : and after this, at a certain day, in Eaft Smithfield, they fhould run with fpears againft all comers. All this was glorioufly per¬ formed •, upon which the king named it Knighten Guild, and extended it from Aldgate to the places where the bars now are on the eaft, and to the Thames on the fouth, and as far into the water as an horfeman could ride at low w'ater and throw his fpear. 22. dpueen-hithe ward is bounded on the eaft by Dowgate, on the north by Bread-ftreet and Cord- wainers London. LON Lcalon. [ 184 ] LON 3* Govern¬ ment of London* 33 Eccieliafti cal. wainers wards, on the fouth by the Thames, and on the weft by Caftle-Baynard ward. It is divided into nine precimfts j and is governed by one alderman, fix com¬ mon-council men, one of whom is the alderman’s depu¬ ty, and nine conftables. It has its name from the hithey or harbour for large boats, barges, and lighters ; for which, and even for (hips, it was the anchoring place, and the quay for loading and unloading veffels almoft of any burden ufed in ancient times. It has the name of queen, becaufe the queens of England ufually poffelTed the tolls and cuftoms of veffels that unloaded goods at this hithe, which were very confiderable. 23. Tower ward, or Tower Jireet ward, is bounded on the fouth by the river Thames, on the eaft by Tower-hill and Aldgate ward, on the north by Lang- bourn ward, and on the weft by Billingfgate ward. It is governed by one alderman, 12 common-council men, of whom one is the alderman’s deputy, 12 conftables, 13 inqueft-men, 12 fcavengers, and one beadle. It takes its name from Tower-Jireet, fo called becaufe it leads out of the city in a direft line to the principal entrance of the Tower of London. 24. Vintry ward is bounded on the eaft by Dow- gate, on the fouth by the Thames, on the weft by Queenhithe ward, and on the north by Cordwainers ward. It is a fmall ward, containing only 418 houfes j but is divided into nine precinfts, and governed by an alderman, nine common-council men, one of whom is the alderman’s deputy, nine conftables, 13 inqueft-men, three fcavengers, and a beadle. It takes its name from the vintners or wine-merchants of Bourdeaux, who for¬ merly dwelt in this part of the city, were obliged to land their wines on this fpot, and to fell them in 40 days, till the 28-th of Edward I. 25. IVallbrook ward is bounded on the eaft by. Langbourn, on the fouth by Dowgate ward, on the weft by Cordwainers ward, and on the north by Cheap ward. It is fmall, containing only 306 houfes j but is divided into feven precinfts, and governed by an alderman, eight common-council men, of whom one is the alderman’s deputy, feven conftables, 13 inqueft- men, fix fcavengers, and a beadle. It has its name from the rivulet Wall-brook, that ran down the ftreet of this name into the river Thames near Dowgate j but in procefs of time it was fo loft by covering it with bridges, and buildings upon thofe bridges, that its chan¬ nel became a common fewer. 26. The ward of Bridge-without includes the borough of Southwark, and the parilhes of Rotherhithe, Newing¬ ton, and Lambeth. It has its name from London bridge, with the addition of the word without, becaufe the bridge mult be paffed in order to come at it. Wejl- minfler is generally reckoned a part of London, though under a diftinft government; and has long been famous for the palaces of our kings, the feat of our law tri¬ bunals, and of the high court of parliament j all which lhall be defcribed in their order. The city and liberties of London are under an eccle- fiaftical, a civil, and a military government. As to its ecclefiajiical government, London is a bi- ftiop’s fee, the diocefe of which comprehends not only Middlefex, Effex, and part of Hertfordfliire, but the Brilifti plantations in America. The bifhop of Lon¬ don takes pre< edency next to the archbilhops of Can¬ terbury and York j but the following pariflies of this London, 35 city are exempt from his jurifdi&ion, being peculiars under the immediate government of the archbilhop of Canterbury •, viz. All-hallows in Bread-ftreet, All¬ hallows, Lombard-ftreet •, St Dionys Back-church, St Dunftan in the Eaft, St John Baptift, St Leonard Eaftcheap, St Mary Aldermary, St Mary Bothaw, St Mary le Bow, St Michael Crooked-lane, St Mi¬ chael Royal, St Pancras Soper-lane, and St Vedaft Fofter-lane. The civil government of London divides it into wards and precin&s, under a lord mayor, aldermen, and com¬ mon-council. The mayor, or lord mayor, is the fupreme magi- Lord ftrate, chofen annually by the citizens, purfuant to a Mayor* charter of King John. The prefent manner of elect¬ ing a lord mayor is by the liverymen of the feveral companies, affembled in Guildhall annually on Michael- mas-day, according to an aft of common council in A. D. 1476, where, and when, the liverymen choofe, or rather nominate, two aldermen below the chair, who have ferved the office of flieriff, to be returned to the court of aldermen, who may choofe either of the two j but generally declare the fenior of the two, fo returned, to be lord mayor eleft. The ekftion be¬ ing over, the lord mayor cleft, accompanied by the recorder and divers aldermen, is foon after prefented to the lord chancellor (as his majefty’s reprefentative in the city of London) for his approbation ; and on the 9th of November following is fworn into the office of mayor at Guildhall j and on the day after, before the barons of the exchequer at Weftminfter; the procef- fion on which occalion is exceedingly grand and mag¬ nificent. The lord mayor fits every morning at the manfion- houfe, or place where he keeps his mayoralty, to de¬ termine any difference that may happen among the citizens, and to do other bufinefs incident to the office of a chief magiftrate. Once in fix weeks, or eight times in the year, he fits as chief judge of oyer and terminer, or gaol-delivery of Newgate for London and the county of Middlefex. His jurifdiftion extends all over the city and fuburbs, except fome places that are exempt. It extends alfo from Colneyditch, above Staines-bridge in the weft, to Yeudale, or Yenllete, and the mouth of the river Medway, and up that river to Upnor-caftle, in the eaft : by which he exercifes the power of puniffiing or correfling all fperfons that ffiall annoy the ftreams, banks, or fiffi. For which purpoie his lordffiip holds feveral courts of confervancy in the coun¬ ties adjacent to the faid river, for its confervation, and for the puniffiment of offenders. See the article May¬ or’s-Cowr/. ^ The title of dignity, alderman, is of Saxon original, Aidermeij and of the greateft honour, anfwering to that of earl j though now it is nowhere to be found but in charter¬ ed focieties. And from hence we may account for the reafon why the aldermen and commonalty of London were called barons after the conqueft. Thefe magi- ftrates are properly the fubordinate governors of their refpe&ive wards under the lord mayor’s jurildidtion •, and they originally held their aldermanries either by inheritance or purchafe •, at which time the alderman-t ries or wards changed their names as often as their governors or aldermen. The oppteffions, to which the citizens were fubjeil from fuch a government, put them upon LON [ 18 London, upon means to aboliih the perpetuity of that office; and v ■ - - they brought it to an a&ual election. But that man¬ ner of eleftion being attended with many inconvenien¬ ces and becoming a continual bone of contention among the citizens, the parliament, 17 Richard II. A. D. 1394, enafted, that the aldermen of London (hould continue in their feveral offices during life or good behaviour. And fo it ftill continues: though the manner of ele&ing has feveral times varied. At prefent it is regulated by an aft of parliament, paffed in the year 1724-5 : and the perfon fo elefted is to be returned by the lord mayor (or other returning officer in his Head, duly qualified to hold a court of wardmote) to the court of lord mayor and aldermen, by whom the perfon fo returned muft be admitted and fworn into the office of alderman before he can aft. If the perfon chofen refufeth to ferve the office of alderman, he is finable 500I. Thefe high officers conftitute a fecond part of the city legiilature when affembled in a corporate capacity, and exercifc an executive power in their refpeftive wards. The aldermen who have paffed the chair, or ferved the high office of lord mayor, are jufiices of the quorum ; and all the other aldermen are not only juftices of the peace, but by the ftatute of 43 Eliz. entitled, An a£i for the relief of the poor, “ every alderman of the city of London, within his ward, ffiall and may do and execute, in every refpeft, fo much as is appointed and allowed by the faid aft to be done or executed by one or two juftices of peace of any county within this realm.” They every one keep their wardmote, or court, for choofing ward officers and fettling the affairs of the ward, to redrefs grievances, and to prefent all defaults found within their refpeftive wards. Gommon- The next branch of the legiflative. power in this council. city is the common-council. The many inconveniences that attended popular affemblies, which were called folkmote, determined the commonalty of London to choofe reprefentatives to aft in their name and for their intereft, with the lord mayor and aldermen, in all affairs relating to the city. At firft thefe reprefenta¬ tives were chofen out of the feveral companies : but that not being found fatisfaftory, nor properly the re¬ prefentatives of the whole body of the inhabitants, it was agreed to choofe a certain number of difereet men out of each ward : which number has from time to time increafed according to the dimenfions of each ward : and at prefent the 25 wards, into which Lon¬ don is divided, being fubdivided into 236 precinfts, each precinft fends a reprefentative to the common- council, who are elefted after the fame manner as an alderman, only with this difference, that as the lord mayor prefides in the wardmote, and is judge of the poll at the eleftion of an alderman, fo the alderman of each ward is judge of the poll at the eleftion of a common-council man. Thus the lord mayor, aldermen, and common- council, when affembled, may be deemed the city par¬ liament, refembiing the great council of the nation. For it confifts of two houfes ; one for the lord mayor and aldermen, or the upper houfe ; another for the commoners or reprefentatives of the people, commonly called the common-council men. And they have power in their incorporate capacity to make and repeal bye¬ laws ; and the citizens are- bound to obey or fubmit to Vol. XII. Part I. 5 ] LON thofe laws. When they meet in their incorporate ca- London. ^ pacity, they wear deep blue filk gowns : and their af¬ femblies are called the court of common-council, and their ordinances adls of common-council. No aft can be per¬ formed in the name of the city of London without their concurrence. But they cannot affemble without a fummons from the lord mayor; who, neverthelefs, is obliged to call a common-council, whenever it ffiall be demanded, upon extraordinary occalions, by fix re¬ putable citizens and members of that court. This corporation is affifted by two iheriffs and a re-Sheriffs, corder. The Iheriffs are chartered officers, to perform certain fuits and fervices, in the king’s name, within the city of London and county of Middlefex, chofen by the liverymen of the feveral companies on Midfum- mer day. Their office, according to Camden, in ge¬ neral, is to colleft the public revenues within their fe¬ veral jurifdiftions j to gather into the exchequer all fines belonging to the crown ■, to ferve, the king’s writs of procefs j to attend the judges, and execute their or¬ ders ; to impannel juries j to compel headftrong and obftinate men by \\wpoffe comitatus to lubmit to the de- cifions of the law ; and to take care that all condemn¬ ed criminals be duly puniffied and executed. In par¬ ticular, in London, they are to execute the orders of the common-council, when they have refolved to ad- drefs his majefty, or to petition parliament. The Iheriffs, by virtue of their office, hold a court at Guildhall every Wednefday and Friday, for aftions entered at Wood-ftreet Compterand on Thurfdays, and Saturdays, for thofe entered at the Poultry Comp¬ ter : of which the ffieriffs being judges, each has his affiftant, or deputy, who are called the judges of thofe courts $ before whom are tried aftions of debt, tref- pafs, covenant, &c. and where the teftimony of any abfent witneis in writing is allowed to be good evi¬ dence. To each of thefe courts belong four attornies, w-ho, upon their being admitted by the court of aider- men, have an oath adminiftered to them. To each of thefe courts likewife belong a fecondary, a clerk of the papers, a prothonotary, and four clerks- fitters. The fecondary’s office is to allow- and return all w-rits brought to remove clerks out of the faid courts •, the clerk of the papers files and copies all declarations upon aftions j the prothonotary draws and engroffes- all declarations ; the clerk-fitters enter ac¬ tions and attachments, and take bail and verdifts. To each of the compters, or prifons belonging to thefe courts, appertain 16 ferjeants at mace, with a yeo¬ man to each, befides inferior officers, and the prifon- keeper. In the ftieriffs court may be tried aftions of debt, cafe, trefpafs, account, covenant, and all perlonal ac¬ tions, attachments, and fequeftrations. When an er¬ roneous judgment is given in either of the fheriffs courts of the city, the writ of error to reverie this judgment muft be brought in the court of buffings be¬ fore the lord mayor ; for that is the fuperior court. The fheriffs of London may make arrefts and ferve executions on the river l hames. ^ We do not read of a recorder till the 1304, who, Recorder, by the nature of his office, feems to have been intended as an affjftant to, or affeffor with, the lord mayor, in the execut ion of his high office, in matters of juft ice and law-. He is chofen by the lord mayor and alder- A a men LON [ ^86 ] LON tonilen. men only •, and takes place in all courts, and in the common-council, before any one that hath not been mayor. Of whom we have the following defcription in one of the books of the chamber : “ He lhall be, as is wont to be, one of the molt Ikilful and virtuous apprentices of the law of the whole kingdom j whofe office is always to fit on the right hand of the mayor, in recording pleas, and palling judgments 5 and by whom records and proceffes, had before the lord mayor and aldermen at Great St Martin’s, ought to be re¬ corded by word of mouth before the judges affigned there to corredt errors. The mayor and aldermen have therefore ufed commonly to fet forth all other bufi- neffes, touching the city, before the king and his council, as alfo in certain of the king’s courts, by Mr Recorder, as a chief man, endued with wifdom, and eminent for eloquence.”—Mr Recoider is looked up¬ on to be the mouth of the city, to deliver all addrefles to the king, &c. from the corporation ; and he is the firil; officer in order of precedence that is paid a la- lary, which originally was no more than rol. fter- ling per annum, with feme few perquifites j but it has from time to time been augmented to 1000I. per annum, and become the road of preferment in the law. This office has fometimes been executed by a 40 dePuty- , . . . ^ Chamber- The next chartered officer of this corporation is the lam. chamberlain •, an officer of great repute and truft, and is in the choice of the livery annually. This officer, though chofen annually on Midfummer-day, is never difplaced during his life, except feme very great crime can be made out again!! him. He has the keeping of the moneys, lands, and goods, of the city orphans, or takes good fecurity for the payment thereof when the parties come to age. And to that end he is deemed in the law a foie corporation, to him and his fuc- ceffors, for orphans j and therefore a bond or a recog¬ nizance made to him and his fucceflbrs, is recoverable by his fucceflfors. This officer hath a court peculiarly belonging to him. His office may be termed a public treafury, collecting the cuftoms, moneys, and yearly revenues, and all other payments belonging to the corporation of the city. It was cufiomary for govern¬ ment to appoint the chamberlain receiver of the land tax -7 but this has been difeontinued for feveral years 41 Paft- Other of- The other officers under the lord mayor are, 1. The fleers. common ferjeant. He is to attend the lord mayor and court of aldermen on court days, and to be in council with them on all occafions, within or without the pre- cinfts or liberties of the city. He is to take care of orphans eftates, either by taking account of them, or to fign their indentures, before their paffing the lord mayor and court of aldermen. And likewdfe he is to let, fet, and manage the orphans eftates, according to his judgment, to the belt advantage. 2. The town clerk ; who keeps the original charter of the city, the books, rolls, and other records, wherein are regiitered the adts and proceedings of the city ; fo that he may not be improperly termed the city-regifter : he is to attend the lord mayor and aldermen at their courts, and figns all public inftruments. 3. The city remem¬ brancer ; who is to attend the lord mayor on certain days, his bufinefs being to put his lordfhip in mind of the feleft days he is to go abroad with the aldermen, 2.. &c. He is to attend daily at the parliament houfe, London, during the feffions, and to report to the lord mayor v—- their tranfadtions. 4. The fword-bearer $ who is to attend the lord mayor at his going abroad, and to carry the fword before him, being the emblem of juftice. This is an ancient and honourable office, reprefenting the ftate and princely office of the king’s moft excel¬ lent majefty, in his reprefentative the lord mayor ; and, according to the rule of armory, “ He muft carry the fword upright, the hilts being holden under his bulk, and the blade diredtly up the midft of his bread, and lo forth between the fword-bearer’-s brows.” 5. The common hunt 5 whofe bufinefs it is to take care of the pack of hounds belonging to the lord mayor and citizens, and to attend them in hunting in thofe grounds to which they are authorized by charter. 6. The common crier. It belongs to him and the fer¬ jeant at arms, to fummon all executors and adminiftra- tors of freemen to appear, and to bring in inventories of the perfonal eftates of freemen, within two months after their deceafe : and he is to have notice of the appraifements. He is all’o to attend the lord mayor on let days, and at the courts held weekly by the mayor and aldermen. 7. The water bailiff 5 whofe office is to look after the prefervation of the river Thames againft all encroachments •, and to look after the fiftiermen for the prefervation of the young fry, to prevent the de- ftroying them by unlawful nets. For that end, there are juries for each county, that hath any part of it ly¬ ing on the fides or ffiores of the faid river ; w hich juries, fummoned by the water bailiff at certain times, do make inquiry of all offences relating to the river and the fiffi, and make their preferments accordingly. He is alfo bound to attend the lord mayor on fet days in the week.—Thefe feven purchafe their places j except the town clerk, who is chofen by the livery. There are alfo three ferjeant carvers ) three ferjeants of the chamber ; a ferjeant of the channel; four yeo¬ men of the water fide 5 an under water bailiff; two yeomen of the chamber ; two meal w eighters ; two yeo¬ men of the wood wharfs j a foreign taker j city mar- Ihals. There are befides thefe, feven gentlemen’s menj as the fvvord-bearer’s man, the common hunt’s two men, the common crier’s man, and the carver’s three men. Nine of the foregoing officers have liveries of the lord mayor, viz. the fword-bearer and his man, the three carvers, and the four yeomen of the water fide. All the reft have liveries from the chamber of London. The following officers are likewife belonging to the city $ farmer ef the markets, auditor, clerk of the chamber, clerk to the commiftioners of the fewers, clerk of the court of confcience, beadle of the fame court, clerk of the city works, printer to the city, juftice of the Bridge yard, clerk comptroller of the Bridge houfe, fteward of the Borough, bailiff of the Borough. There is alfo a coroner, called fo from corona, i. e. a crown, becaufe he deals principally with the crown, or in matters appertaining to the imperial crown of England. See the article Coroner. Befides thefe officers, there are feveral courts in this city for the executing of jullice, viz. the court of huf- tings, lord mayor’s court, &c. In the city there are alfo 4* lilitary overn- icnt. LON [ London, alfo two fubordinate kinds of government. One exe- ■—* ^ cuted by the alderman, deputy, and common-council men, and their inferior officers, in each ward ; under which form are comprehended all the inhabitants, free or not free of the city. Every ward is therefore like a little free date, and at the fame time fubjedt to the lord mayor as chief magiftrate of the city. The houfekeepers of each ward eleft their reprefentatives, the common council, who join in making bye-laws for the government of the city. The officers and fervants of each ward manage the affairs belonging to it, with¬ out the affiftance of the reft ; and each has a court cal¬ led the wardmote, as has been already defcribed, for the management of its own affairs. The other, by the mafter, wardens, and court of affiftants, of the incor¬ porate companies •, whofe power reaches no farther than over the members of their refpeftive guilds or fra¬ ternities j except that in them is veiled the power to choofe reprefentatives in parliament for the city, and all thofe raagiftrates and officers elected by a common hall •, which companies are invefted with diftindl powers, according to the tenor of their refpeftive charters. The military government of the city is lodged in a lieutenancy, confifting of the lord mayor, aldermen, and other principal citizens, who receive their autho¬ rity by a commiffion from the king. Thofe have un¬ der their command the city trained bands, confifting of fix regiments of foot, diftinguiftied by the names of the white, orange, yellow, blue, green, and red, each containing eight companies of 150 men, amounting in all to 7200. Befides thefe fix regiments, there is a corps called the artillery company, from its being taught the military exercife in the artillery ground. This company is independent of the reft, and confifts of 700 or 800 volunteers. All thefe, with two regiments of foot of 800 men each commanded by the lieutenant of the Tower of London, make the whole militia of this city ; which, exclufive of Weftminfter and the bo¬ rough of Southwark, amounts to about 10,000 men. The trading part of the city of London is divided into 89 companies 5 though feme of them can hardly be called fo, becaufe they have neither charters, halls, nor liveries. Of thefe 89 companies, 55 have each a hall for tranfadling the bufinefs of the corporation; and this confifts of a mafter or prime warden, a court of af¬ fiftants, and livery.—Twelve of thefe companies are fuperior to the reft both in antiquity and wealth j and of one of thofe 12 the lord mayors have generally made themfelves free at their eleftidn. Thefe companies are the mercers, grocers, drapers, fiffimongers, goldfmiths, Ikinners, merchant-taylors, haberdaffiers, falters, irdn- mongers, vintners, and clothworkers.—The principal 187 ] ' LON incorporated focieties of the merchants of this city are, the Hamburgh Company, the Hud fun’s Bay Company, the Ruffia Company, the Turkey Company, the Ealt India Company, the Royal African Company, the South Sea Company, and fome Infurance Companies. The moft of thefe companies have llately houies for tranfadt- ing their bufinefs, particularly the Eaii India and South Sea Companies. See Company. London. 43 trading rompames. 44 The ftreets and public buildings in London and its ReiI!ark" liberties being far too numerous for a particular de- fcription in this work, we ffiall only feledt the moft re- incS w,tb- markable, beginning with London Bridge as the moft in the ancient, and proceeding in our furvey through the (a) * c,0'- wards into which the city is divided. 45 I. Remarkable Buildings, &c. in the ClTT. The London original bridge, which ftands in Bridge ward was ofljr‘d^e’ wood, and appears to have been firft built between the years 993 and ioi6j but being burnt down about the year 1136, it was rebuilt of wood in 1163. The ex- pences, however, of maintaining and repairing it be¬ came fo burdenfome to the inhabitants of the city, that they refolved to build a ftone bridge a little weft- ward of the wooden one. This building was begun in 1176, and finifhed in 12095 and was 915 feet long, 44 feet high, and 73 feet w ide 5 but houfes being built on each fide, the ipace between was only 23 feet. This great w'ork was founded on enormous piles driven as clofely as poffible together : on their tops were laid long planks 10 inches thick, ftrongly bolted5 and on them was placed the bafe of the pier, the lowermoft ftones of which were bedded in pitch, to prevent the water from damaging the work : round all were the piles which were called the Jlerlings, de- figned for the prefervation of the foundation piles. Thefe contra&ed the fpace between the piers fo great¬ ly, as to occafion at the retreat of every tide a fall of five feet, or a number of temporary catara&s, which fince the foundation of the bridge have occafioned the lofs of many thoufand lives. The number of arches was 19, of unequal dimenfions, and greatly deformed by the fterlings and the houfes on each fide, which overhung and leaned in a moft terrific name. In moft places they hid the arches, and nothing appeared but the rude piers. Within recolledlion, frequent arches of ftrong timber croffed the ftreet from the top. of the houfes to keep them together, and from falling into the river (a). Nothing but ufe could preferve the quiet of the inmates, who foon grew deaf to the noife of the falling waters, the clamours of w atermen, or the frequent thrieks of drowning wretches. In one part had been a drawbridge, ufeful either by way A a 2 of (a) The gallant adlion of Edmund Ofborne, anceftor to the duke of Leeds, when he was apprentice to Sir William Hewet, cloth-worker, may not improperly be mentioned in this place. About the year 1536, when his mafter lived in one of thofe tremendous houfes, a fervant maid was playing with his only daughter in her arms in a window over the water, and accidentally dropt the child. Young Oiborne, who was witnefs to the misfortune, inftantly fprang into the river, and beyond all expedlation, brought her fafe to the terrified fa¬ mily ! Several perfons of rank paid their addrefles to her when ffie was marriageable, among others the earl of Shn v ffiury 5 but Sir William gratefully decided in favour of Ofborne : OJborne, fays \ie,faved her, andOJborne jhcll enjoy her. In her right he poffeffed a great fortune. He became fheriff of London in 1575, and lord mayor in 1582. LON [ London of defence or for the admiffion of (hips into the upper part of’ the river. This was proteded by a ftrong tower. It ferved to repulfe Falconbridge the Baftard in his general afl'ault on the city in 1471, with a fet of banditti, under pretence of reicuing the unfortunate Hmry, then confined in the Tower. Sixty houfes were burnt on the bridge on the occafion. It alfo ferved to check, and in the end annihilate, the ill-con- duded infurredion of Sir Thomas Wyat, in the reign of Queen Mary. The top of this tower, in the fad and turbulent days of this kingdom, uled to be the fhambles of human flefh, and covered with heads or quarters of unfortunate partizans. Even fo late as the year 1598, Hentzner, the German traveller, with Ger¬ man accuracy, counted on it above 30 heads. The old map of the city in 1597 reprefents them in a moft horrible duller.—An unparalleled calamity happened on this bridge within four years after it was finifhed. A fire began on it at the Southwark end •, multitudes of people rulhtd out of London to extinguifh it \ while they were engaged in this charitable defign, the fire feized on the oppofite end, and hemmed in the crowd. Above 3000 perfons periihed in the flames, or were drowned by overloading the veffels which were hardy enough to attempt their relief. The narrownefs of the paffage on this bridge having occafioned the lofs of many lives from the number of carriages continually pafiing j and the ftraitnefs of the arches, with the enormous lize of the fterlings, which occupied one-fourth part of the water-way, having al¬ fo occafioned frequent and fatal accidents, as already mentioned j the magiflrates of London in 1756 ob¬ tained an aft of parliament for improving and widen¬ ing the paflage over and through the bridge, which granted them a toll for every carriage and horfe pafiing over it, and for every veffel with goods pafling through it : but thefe tolls proving infufficient, were abolilhed by an aft made in 1758 for explaining, amending, and rendering the former aft more effeftual •, and for grant¬ ing the city of London money towards carrying on that work. In confequence of thefe afts of parliament, a temporary wooden bridge was built, and the houfes on the old bridge were taken down. Inftead of a narrow ftreet 23 feet wide, there is now a paflage of 31 feet for carriages, with a railed pavement of If one on each fide 7 feet broad for the ufe of foot paflen- gers. The fides are fecured by (lone baluftrades, en¬ lightened in the night with lamps. The paflage through the bridge is enlarged by throwing the two middle arches into one, and by other alterations and improve¬ ments ; notwithftanding which, however, it is ftill greatly fubjeft to its former inconveniences—Under the firft, fecond, and fourth arches, from the north fide of the bridge, and now likewife towards the fouth- ern extremities, there are engines worked by the flux and reflux of the river, the water of which they raife to fuch a height as to fupply many parts of the city. Thofe engines were contrived in 1582 by one Peter Morice a Dutchman, and are called London-bridge ’ivater-works. By the report of a committee appointed to confider of the requifite improvements in and about London, it was propofed to remove the prefent London bridge, and to replace it by one of call iron 65 feet high in the clear above high water. Part of the plan ■which came under the confideration of the committee 188 ] LON in i8ot, was a defign of Mefirs Telford and Douglas, lord 1 in which it is propofed to conftruft the bridge of a't— Angle arch, compofed wholly of calf iron j the ipan of the arch is to be 600 feet, being the width to which, by Mr Jeffop’s report, the river ought to be contrafted. The boldnefs and limplicity of this defign rendered it an ob- jeft of great attention, not only to the committee en¬ gaged in confidenng the further improvement of the port of London, but to the public. No piogrefs, we believe, has yet been made in the execution of this plan. 46 Near the north fide of London bridge Hands the The Mo Monument, a beautiful and magnificent fluted columnnun''ent- of the Doric order, built with Portland Hone, and erefted in memory of the conflagration 1666. It was begun by Sir Chriilopher Wren in 1671, and finilh- ed by him in 1677. Its height from the pavement is 202 feet ■, the diameter ot the lhaft, or body of the co¬ lumn, is 13 feet j the ground-plinth, or low eft part of the pecieftal is 28 feet fquare j and the pedeftal is 40 feet high. Over the capital is an iron balcony en- compafling a cone 32 feet high, which fupports a blaz¬ ing urn of gilt brai’s. Within is a large ftaircafe of black marble, containing 345 Heps, each ten inches and a half broad, and fix inches thick. The weft fide is adorned with a curious emblem in ait-relief, denoting the deftruftion and reftoration of the city. The firft female figure reprefents London fitting in ruins, in a languiihing pofture, with her head dejefted, her hair difhevelled, and her hand carelefsly lying on her fword. Behind is Time, gradually raifing her up : at her fide is a woman touching her with one hand, whilft a wing¬ ed fceptre in the other direfts her to regard the god- defles in the clouds j one with a cornucopia, denot¬ ing Plenty ; the other w ith a palm branch, the emblem of Peace. At her feet is a bee hive, (bowing, that by induftry and application the greateft misfortunes are to be overcome. Behind the figure of Time are citizens exulting at his endeavours to reftore her j and beneath, in the midft of the ruins, is a dragon, who, as the fupporter of the city arms, with his paw endeavours to prelerve the fame. Oppofite to the city, on an ele¬ vated pavement, (lands the king, in a Roman habit, wdth a laurel on his head, and a truncheon in his hand $ and approaching her, commands three of his attendants to defcend to her relief. The firft repre¬ fents the Sciences with a winged head and circle of naked boys dancing thereon $ and holding Nature in her hand, with her numerous breads, ready to give afliftance to all. The fecond is ArchiteBure, with a plan in one hand, and fquare and a pair of compafles in the other; and the third is Liberty, waving a hat in the air, (bowing her joy at the pleafing prolpeft of the city’s fpeedy recovery. Behind the king (lands his brother the duke of York, with a garland in one hand to crown the riling city, and a fword in the other for her defence. The two figures behind are Jujlice and Fortitude; the former with a coronet, and the latter with a reined lion •, and under the royal pavement lies Envy, gnawing a heart, and inceflantly emitting pefti- ferous fumes from her mouth. On the plinth the re- conftruftion of the city is reprefented by builders and labourers at work upon houfes. On the north, fouth, and eaft fides, are infcriptions relating to the deftruc- tion occafioned by the conflagration, the regulations about rebtulding the city^ and erefting the monument; and X.o’v’on, 47 The Tower. LON [i and round it is the following one :—“ This pillar was fet up in perpetual remembrance of the moil: dreadful burning of this Proteifant city, begun and carried on by the treachery and malice of the Popilh fa&ion, in the beginning of September, in the year of our Lord 1666, ^in order to their carrying on their horrid plot for extirpating the Proteftant religion and old Engkjh liberty, and introducing Popery and flavery.” Dr Wendeborn, in his account of London, obferves, that the monument, though not much above 100 years old, bears viiible marks of decay already and it will not probably be long before it mutt be pulled down. Some are of opinion that this is occaftoned by the fault of the architeft, others by the continual (baking of the ground by coaches j but the doctor inclines to the lat¬ ter opinion. Ea ft ward of the bridge and monument ftands the Tower^ which gives name to another ward. It is the chief fortrefs of the city, and fuppofed to have been originally built by William the Conqueror. It ap¬ pears, however, to have beer, railed upon the remains of a more ancient fortrefs, erected probably by the Ro¬ mans : for in 1720, in digging on the iouth fide of what is called Cxfar's Chapel, there were difcovered fome old foundations of (tone, three yards broad, and fo ftrongly cemented that it was with the utmoft dif¬ ficulty they were forced up. The firft work (accord¬ ing to Mr Pennant) feems to have been fuddenly flung up in 1066 by the Conqueror, on his taking poffeflion of the capital j and included in it a part of the ancient wall. The great fquare tower, called the White Tower, was erefted in the year 1078, when it arole under the dire£tions of Gundulph bifliop of Rochefter, who was a great military arehite£f. This building originally flood by itfelf. Fitz-Stephen gives it the name of Arx Pa- latina, “ the Palatine Tower j” the commander of which had the title of Palatine beftowed on him. With¬ in this tow'er is a very ancient chapel for the ufeof fuch of our kings and queens who wifhed to pay their de¬ votion here. In 1092 a violent tempeft did great in¬ jury to the Tower j but it was repaired by W illam Rufus and his fuccefior. I he firft added another ca- ftellated building on the fouth fide between it and the Thames, which was afterwards called St Thomas's Tower. The Tower was firft enclofed by William Long- champ biftiop of Ely and chancellor of England,, in the reign of Richard I. Phis haughty prelate having a quarrel with John, third brother to Richard, under pretence of guarding againft his defigns, furrounded the whole w’ith walls embattled, and made on the out- fide a vaft ditch, into which, in after times, the water from the Thames was introduced. Different princes added other works. The prefent contents within the walls are 12 acres and 5 rods, the circuit on the out- fide of the ditch 1052 feet. It was again enclofed 89 ] LON with a mud wall, by Henry III.: this was placed at a diftance from the ditch, and occafioned the taking down part of the city-wall, which was relented by the citizens j who, pulling down this precindt of mud, were puniftied by the king with a fine of a thouland merks. The Lions Tower was built by Edward IV. It was originally called the JBulwark, but received the former name from its ufe. A menagery had very long been a piece of regal ftate : Henry I. had his at his manor of Wood flock, where he kept lions, leopards, lynxes, porcupines, and feveral other uncommon beads, ihey were afterwards removed to the Tower. Edward 11. commanded the (heriffs of London to pay the keepers of the king’s leopards fixpence a-day for the (ufte- nance of the leopards, and three halfpence a-day for the diet of the keeper out of the fee-farm of the city. The royal menagery is to this day exceedingly well fupplled. In 1758 the Tower ditch was railed all round. New barracks were fome years ago erefted on the lower wharf, which parts it from the river ; and upon the wharf is a line of 61 pieces of cannon, which are fired upon ftate holidays. On this fide of the lower the ditch is narrow, and over it is a drawbridge. Parallel to the wharf, within the walls, is a platform 70 yards in length, called the Ladies Line, becaufe much fre¬ quented by the ladies in the fummer j it being (haded in the infide with a row of lofty trees, and without is a delightful profpeft of the (hipping with boats paf- fing and repafling on the river Thames. You afcend this line by (tone tteps, and being once upon it you may walk almoft round the walls of the lower without in- London. terrnption. The principal entrance into the Tower is by a gate to the weft, large enough to admit coaches and heavy carriages j but thefe are firft admitted through an out¬ ward gate, fituated without the ditch upon the hill, and muft pafs a flout (lone bridge built over the ditch before they can approach the main entrance. There is, befides, an entrance near the very fouth-weft corner of the Tower outward wall, for perfons on foot, over the drawbridge already mentioned to the wharf. There is alfo a water-gate, commonly called Traitor's gate, through which it has been cuftomary to convey traitors and other ftate prifoners to or from the Tower, and which is feldom opened on any other occafion ; but the lords committed to the Tower in 1746 were publicly admitted at the main entrance. Over this gate is a regular building, terminated at each end by two round towers, on which are embrafures for pointing cannon. In this building there are the infirmary, the mill, and the water-works that fupply the Tower with water. In the Tower, the curiofities of which are more particularly defcribed in the note (b), are a church,, the offices of ordnance and of the mint, thofe of the keepers fB) In examining the curiofities of the Tower of London, it will be proper to begin with thofe on the outfide of the principal gate. The firft thing a ftranger ufually goes to vifit is the wild hearts; which, from their fituation, firft prefent themfelves : for having entered the outer gate, and paffed what is called the. (pur- guard, the keeper’s houfe prefents itfelf before you, which is known by a painted hon on the wall, and another 4 t LON [ 190 ] LON keepers of the records, of the jewel office, of the Spa- nifh armoury, the horfe armoury, and the new or ffnall armoury ; with barracks for the foldiersof the garrifon, and handfome houfes for feveral officers whorefide here. The principal officers of the Tower are, a conftable, a lieutenant, and a deputy-lieutenant. Belonging to this fortrefs are 11 hamlets-, the militia of which, confut¬ ing of 400 men, are obliged, at the command of the conftable of the Tower, to repair hither, and reinforce London. the garrifon. v——/ On Little Tower hill is the VlBuaUing office for the ..4s . navy. It fh ..prated from Tower-hill by a wall and office^''1* gate, and contains houfes for the officers, flaughter- houfes, {tore rooms, a brew-houle, a falting-houfe, and barrelling-houfe \ under the direction of feven com- miffioners and other inferior officers. In over the door which leads to their dens. By ringing a bell, and paying fixpence each perfon, you may eafily gain admittance. The next place worthy of obfervation is the Mint, which comprehends near one-third of the Tower, and contains houfes for all the officers belonging to the coinage. On palling the principal gate you fee the White Tower, built by William the Conqueror. This is a large, fquare, irregular done building, fituated almoft in the centre, no one fide anfwering to another, nor any of its watch-towers, of which there are four at the top, built alike. One of thefe towers is now converted into an obfervatory. In the firfl dory are two noble x-ooms, one of which is a fmall armoury for the fea-fervice, it having various forts of arms, very curioufly laid up, for above 10,000 feamen. In the other room are many clofets and preiles, all filled with warlike engines and indruments of death. Over this are two other floors, one principally filled with arms ; the other with arms and other warlike indruments, as fpades, {hovels, pickaxes, and chevaux de frize. In the upper dory are kept match, dieep-fkins, tanned hides, See. and in a little room called Julius Caelar’s chapel, are depofited fome records, containing perhaps the ancient ufages and cudoms of the place. In this building are alfo pre- ferved the models of the new-invented engines of dedruftion that have from time to time been prefented to the government. Near the fouth-wed angle of the White Tower is the Spanifh armoury, in which are de¬ pofited the fpoils of what was vainly called the Invincible Armada j in order to perpetuate to lated poderity the memory of that fignal viftory obtained by the Engliffi over the whole naval power of Spain in the reign of Philip II. You are now come to the grand dorehoufe, a noble building to the northward of the White Tower, that extends 245 feet in length and 60 in breadth. It was begun by King James II. who built it to the fird floor ; but it was finifhed by King William III. who erefted that magnificent room called the New or Small Armoury, in which that prince, with Queen Mary his confort, dined in great form, having all the warrant workmen and labourers to attend them, dreffed in white gloves and aprons, the ufutd badges of the order of mafonry. To this noble room you are led by a folding door, adjoining to the ead end of the Tower chapel, which leads to a grand daircafe of 50 eafy deps. On the left fide of the uppermod landing-place is the work-ffiop, in which are condantly employed about 14 furbiffiers, in cleaning, repairing, and new-placing the arms. On entering the armoury, you fee what they call a wildernefs of arms, fo artfully difpofed, that at one view you behold arms for near 80,000 men, all bright and fit for fervice 5 a fight which it is impoffible to behold without adenifhment ; and befides thofe expofed to view, there were, before the late war, 16 cheds flrut up, each ched holding about 1000 mufkets. The arms were originally difpofed by Mr Harris, who contrived to place them in this beautiful order, both here and in the guard-chamber of Hampton-court. He was a common gunfmith 5 but after he had performed this work, which is the admiration of people of all nations, he was allowed a penfion from the crown for his ingenuity. Upon the ground door, under the fmall armoury, is a large room of equal dimenfions with that, fupported by 20 pillars, all hung round with implements of war. This room, which is 24 feet high, has a paflage in the middle 16 feet wide. At the fight of fuch a variety of the mod dreadful engines of dedruftion, before wffiofe thunder the mod fuperb edifices, the nobled works of art, and numbers of the human fpecies, fall together in one common and undidinguifhed ruin ; one cannot help widiing that thofe horrible inventions had dill lain, like a falfe conception, in the womb of nature, never to have been ripened into birth. The horfe armoury is a plain brick building, a little to the eadward of the White Tower ; and is an edifice rather convenient than elegant, where the fpeftator is entertained with a reprefentation of thofe kings and heroes of our own nation, with whofe gallant aftions it is to be fuppofed he is well acquainted j fome of them equipped and fitting on horfeback, in the fame bright and diining armour they were ufed to wear when they performed thofe glorious aftions which gave them a didinguiffied place in the Britiffi annals. You now come to the line of kings, which your condudlwr begins by reverdng the order of chronology ; fo that that in following them we mud place the lad fird. In a dark, drong done room, about 20 yards to the eadward of the grand dore-houfe, or new armoury, the crown jewels are depofited. 1. T he imperial crown, with which it is pretended that all the kings of England have been crowned fince Edward the Confeflbr in 1040. It is of gold, enriched with diamonds, rubies, emeralds, fapphires, and pearls: the cap within is of purple velvet, lined with white tafiet)', turned up with three rows of ermine, They are, however, midaken in fhowing this as the ancient imperial diadem of St Edward , for that, with the other mod ancient regalia of this kingdom, .vas kept in the arched room in the cloilters in VVedminder Abbey till the civil war: when, in 1642, Harry Martin, by order of the parliament, broke open the iron ched in which it was ftcured, took it thence, and told it, together with the robes, LON 49 luftom- oufe.. [ London. In Tower ward is alfo the Cujlomhoufe, a large, handfome, and commodious building of brick and (lone. It ftands upon the bank of the Thames, and is ac¬ commodated with large wharfs, keys, and warehoufes. On this fpot is the bufy concourfe of all nations, who pay their tribute towards the fupport of Great Bri¬ tain. About the year 1559, the lofs to the revenue, by collefting it in different parts of the city, was firit difcovered, and an aft paffed to compel people to land 91 ] LON their goods in fuch places as were appointed by the London. ^ commiflioners of the revenue $ and this was the fpot v ~ fixed on : A cuftomhoufe was erefted j which, being deftroyed by the great fire, was rebuilt by Charles II. In 1718 it underwent the fame fate, and was reftored in its prefent form. Before the cuftomhoufe was effabliihed here, the principal place for receiving the duties was at Billingfgate. In 1268 the half year’s cuftoms for foreign merchandife in the city of London came robes, fword, and fceptre, of St Edward. However, after the Relforation, King Charles II. had one made in imitation of it, which is that now Ihown. 2. The golden orb, or globe, put into the king’s right hand before he is crowned : and borne in his left hand, with the fceptre in his right, upon his return into Weftminfter-hall after he is crowned. It is about fix inches in diameter, edged with pearl, and enriched with precious ftones. On the top is an amethyft, of a violet colour, near an inch and a half in height, fet with a rich crofs of gold, adorned with diamonds, pearls, and precious Hones. The whole height of the ball and cup is 11 inches. 3. The golden fceptre, with its crofs fet upon a large amethyit of great value, garnifhed .round with table diamonds. The handle of the fceptre is plain, but the pummel is fet round with rubies, emeralds, and fmall diamonds. The top rifes into a fleur-de-lis of fix leaves, all enriched with precious ftones, from whence iffues a mound or bail, made of the amethyft already mentioned. The crofs is quite covered with precious ftones. 4. The fceptre, with the dove, the emblem of peace, perched on the top of a fmall Jerufalcm crofs, finely ornamented with table diamonds and jewels of great value. This emblem was firft ufed by Edward the Confeffor, as appears by his feal •, but the ancient fceptre and dove was fold with the reft of the regalia, and this now in the Tower was made after the Reftoration. 5. St Edward’s ftaff, four feet feven inches and a half in length, and three inches three quarters in circumference, all of beaten gold, which was carried before the king at his coronation. 6. The rich crown of ftate, worn by his majefty in parliament j in which is a large emerald feven inches round j a pearl efteemed the fineft in the world ; and a ruby of ineftimable value. 7. The crown belonging to his royal high- nefs the prince of Wales. The king wears his crown on his head when he fits upon the throne j but that of the prince of Wales is placed before him, to (how that he is not yet come to it. 8. The late Queen Mary’s crown, globe, and fceptre, with the diadem fhe wore at her coronation with her confort King William III, 9. An ivory fceptre, with a dove on the top, made for King James II.’s queen, whofe garniture is gold, and the dove on the top gold enamelled with white. 10. The car/awa, or fword of mercy, which has a blade of 32 inches long, and'near two broad, is without a point, and is borne naked before the king at his coronation, between the two {words of juftice, fpiritual and temporal. 11. The golden fpurs, and the armillas, which are bracelets for the wrifts. Thefe, though very antique, are worn at the coronation. 12. The ampulla, or eagle of gold, finely engraved, which holds the holy oil the kings and queens of England are anointed with ; and the golden fpoon that the bilhop pours the oil into. Thefe are two pieces of great antiquity. The golden eagle, including the pedeftal, is about nine inches high, and the wings expand about feven inches. The whole weighs about ten ounces. The head of the eagle ferews oft' about the middle of the neck, which is made hollow for holding the holy oil ; and when the king is anointed by the biihop, the oil is poured into the fpoon out of the bird’s bill. 13. A rich faltfeller of ftate, in form like the fquare White Tower, and fo exquifitely wrought, that the work- manftiip of modern times is in no degree equal to it. It is of gold, and ufed only cn the king’s table at the co¬ ronation. 14. A noble filver font, double gilt, and elegantly wrought, in which the royal family are chriften- • ed. 15. A large filver fountain prefented to King Charles II. by the town of Plymouth, very curibufty wrought j but much inferior in beauty to the above. Befides thefe, which are commonly fhowm, there are in the jewel of¬ fice all the crown jewels worn by the princes and princeffes at coronations, and a great variety of curious old plate. The record office confifts of three rooms, one above another, and .a large round room, where the rolls are kept. Thefe are all handfomely wrainfcotted, the wainfeot being framed into preffes round each room, within which are fhelves and repofitories for the records \ and for the eafier finding of them, the year of each reign is inferibed on the infide of thefe prefles, and the records placed accordingly. Within thefe preffes, which amount to 56 in number, are depofited all the rolls, from the firft year of the reign of King John to the beginning of the reign of Richard III. but thofe after this laft period are kept in the Rolls Chapel. The records in the Tower, among other things, contain the foundation of abbeys and other religious houfes 5 the ancient tenures of all the lands in England, with a furvey of the manors; the original of laws and ftatutes ; proceedings of the courts of common law and equity ■, the rights of England to the dominion of the Britiffi feas; leagues and treaties with foreign princes; the achievements of England in foreign wrars 5 the fettlement of Ireland, as to law and dominion j the forms of fubmiffion of fome Scottiffi kings for territories held in England •, ancient grants of our kings to their fubjefts *, privileges and immunities granted to cities and corporations during the period above mentioned j en¬ rolments of charters and deeds made before the conqueft ; the bounds of all the forefts in England, with the fe- veral refpeftive rights of the inhabitants to common pafture, and many other important records, all regularly dif- pofed, and referred to in near a thoufand folio indexes. This office is kept open, and attendance conftantly given, from feven o’clock till one, except in the months of December, January, and February, when it is open only from eight to one, Sundays and holidays excepted. A fearch here is half a guinea, for which you may perule any one fubjeft a year. LON [ ip London, came only to 75I. 6s. lod. ; the annual produce of * '' the cuftoms, ending in April 1789, amounted to 50 3,711,1261. Trinity jn Water-lane, a little to the north-weft of the Houle. cuftotnhoufe, is the Trimly Houfe; a fociety founded in 1515, at a period in which the Britifti navy began to affume a fyftetn. The founder was Sir Thomas Spert, comptroller of the navy, and commander of the great fhip Henry Grace de Dieu. It is a corporation, confrfting of a mafter, four wardens, eight aflift- ants, and eighteen elder brethren \ felefted from com¬ manders in the navy and the merchants fervice $ and now and then a compliment is paid to one or two of our firft nobility. They may be confidered as guardians of our (hips, military and commercial. Their powers are very extenfive : they examine the mathematical children of Chrift’s hofpital, and the matters of his majefty’s fhips •, they appoint pilots for the river Thames; fettle the general rates of pilotage ; ere£t light houfes and lea marks; grant licenfes to poor feamen, not free of the city, to row on the Thames ; prevent foreigners from ferving on board our thips without licenfe ; punilh feamen for mutiny and defer- tion ; hear and determine complaints of officers and men in the merchants fervice, but liable to appeal to the judge of the court of admiralty ; fuperintend the deepening and cleanling of the river 1 hames, and have under their jurifdiftion the ballaft office; have powers to buy lands, and receive donations for chari« table ufes ; and in confequence, relieve annually many thoufands of poor feamen, their widows, and orphans. It is in this houfe the bufinefs of . the inftitution is carried on : but the mother houfe is at Deptford, the corporation being named, “ the mafter, wardens, and affiftants of the guild or fraternity of the moft glori¬ ous and undivided Trinity, and of St Clement, in the pariffi of Deptford Strond, in the county of tjr Kent.” The Mi- Between Aldgate and the Tower is the ftreet called nories. ^ Minories, from fome poor ladies of the order of St Clare, or minoreffes. They had been invited to London by Blanch,'queen of Navarre, and wife to Ed¬ mund earl of Lancafter, who founded a convent for them in 1293. On the fuppreffion of the monafteries it was converted into a dwelling houfe for fome of the nobility, and is now in the poffeffion of the Dartmouth family. Till of late years, the Minories were but a defpicable ftreet ; but have now been excellently re¬ built, and are as elegant as any in the city. On the weft fide of the city walls at this place, flood the houfe of the Crutched or Crojfed Friars, an order inftituted at Bologna in 1169, and of which a branch fettled in England in 1244, where they were accom¬ modated with a houfe in this place by two citizens named Ralph Hofier and William Sabernas, who became ^ members of their order. Henry VIII. granted their houfe to Sir Thomas Wyat the elder, who built .a handfome manfion on part of the ground where it flood. This manfion became afterwards the refidence of John Lord Lumley, a celebrated warrior in the India''Com*’ tirne of Henry VIII. In procefs of time, jt was con- pai.j’fc verted into a navy office : but this office being remov- warehoufes. eJ Somerfet-houfe, the India Company have ereft- ed in its place a moft magnificent warehoufe, in form of an oblong fquare of about 250 feet by 160, enclof- 2 ] LON ing a court of 150 by 60 feet, tha entrance to which London, is by an arched gateway. " Billingfgale ward is diftinguilhed by its Billinzfgate was a fmall port for the reception of ihip- gate> ping, and for a confiderable time the moft important place for the landing of almoft every article of com¬ merce. In the time of King William, Billingfgate began to be celebrated as a fiffi-market. In 1699 was by aft of parliament made a free port for filh to be fold there every day except Sunday ; but Mr Pen¬ nant informs us, that the objeft of this has long been fruftrated, and that fiffi are now no longer to be had there in perfeftion. The fame author gives a lift of the fifti which in the time of Edward III. were brought to the London market ; the monarch himfelf having condefcended to regulate the prices, that his fubjefls might not be impofed upon by thofe who fold them. Among thefe were the conger-eel and porpoife, neither of which is now admitted to any table. A pike at that time coft 6s. 8d. ; whence our author concludes, that it was an exotic fiffi, and brought over at a vaft expence. Some fillies are mentioned in his lift with which this naturalift owns himfelf unac¬ quainted, viz. the barkey, bran, batrile, cropling, and rumb. In Archbilhop Nevill’s great feaft is mention¬ ed alfo a fifti named thirk-poole, unknown at prefent. Seals were formerly accounted a fiffi ; and thefe, to¬ gether with the fturgeon and porpoife, were the only freffi fiffi permitted by the 33d of Henry VIII. to be bought of any ftranger at fea between England, France, Flanders, and Zealand. _ 54 , Limeftreet ward is remarkable for a very large build- Leadenha s ing of great antiquity, called Leaderhall, with flat battlements leaded on the top, and a fpacious fquare in the middle. In 1309 it v^as the houfe of Sir Hugh Nevill, knight ; in 1384, of Humphry Bohun, earl of Hereford ; in 1408 it became the property of the ce¬ lebrated Whittington, who prefented it to the mayor and commonalty of London; and in I4J9» a public granary w'as erefted here by Sir Simon Kyre, a citi¬ zen and draper, who built it with ftone in its prefent form. This granary w’as defigned as a prefervative againft famine, and to be kept always full of corn, which defign was for fome time happily anfwered. The houfe came to be ufed for many other purpofes befides that of a granary ; as for keeping the artillery and arms of the city. Preparations for any kind of pageantry or triumph were alfo made here ; and from its ftrength the place was confidered as the chief iortrefs within the city in cafe of any popular infurre&ion, and was likewife the place from wffience alms were diftributed. In this edifice are warehoufes for the (ale of leather, Col- chefter baize, meal, and wool. Adjoining to Leaden- hall is a market, thence called Leadenlia/l market, con¬ fining of five confiderable fquares or courts, and rec¬ koned one of the greateft markets in Europe for fleffi and other provifions, as well as for leather, green hides, and wool. A little to the eaftw'ard is ^ the India Hvfe, built in 1726, on the fpot occupied The Ind by Sir William Craten, mayor in 1610. According Houfe. to Mr Pennant, this houfe “ is not worthy of the lords of Indoftan.” 56 In Broad-ftreet is the Bank of England, a ftone build- Bank of ing, which occupies one fide of Threadneedle-ftreet, England The centre, and the building behind, Were founded in LON [ London, in the year 17335 the architect George Sampfon. -V"—' Before that time the bufinefs was tranfafted in Gro- cers-hall. The front is a fort of veftibulej the bafe ruftic, the ornamental columns above Ionic. Within is a court leading to a fecond elegant building, which contains a hall and offices, where the debt of above 250 millions is pundtually difcharged. Of late years two wings of uncommon elegance, designed by Sir Robert Taylor, have been added, at the expence of a few houfes, and of the church of St Chriftopher’s le Stocks. “ The name of the project or of this national glory (fays Mr Pennant), was Mr James Paterfon of Scotland. This palladium of our country was in 1780 faved from the fury of an infamous banditti by the virtue of its citizens, who formed fuddenly a volunteer company, and overawed the mifcreants ; while the chief magiftrate Ikulked trembling in his manfion-houfe, and left his important charge to its fate. This important building has ever lince been very properly guarded by the military 5 who, in paf- hng through the city, have often given offence to many bufy characters who would drive to preferve the city rights, at the expence of the national deftruftion. A lord mayor was the laft who interefted himfelf by applying to Mr Grenville, who gave him to under- ftand, that if the guards were not quietly permitted to difeharge their duty, the bank would be removed to Somerfet-houfe.” I Merchant t^ie extremity of Threadneedle-dreet is Mer- Taylors chanl-Taylors Hall. In this llreet alfo is the South Sea I Hall, 6tc. Houfe, firft eftablilhed in 1711 for the purpoie of an exclulive trade to the South fea, and for fupplying Spaniffi America with negroes. Near.the jun61ion of Throgmorton-ftreet with Broad- ftreet flood a magnificent houfe built by Cromwell earl of liffex 5 after whofe fall, the houfe and gardens were bought by the Drapers company. The houfe was deilroyed in the great fire, but rebuilt for the ufe of the company in a magnificent manner. ( gt Giles’s. Mr Pennant informs us, that St Giles's church in the fields, and a few houfes to the weft of it, in the year 1600, were barely feparated from Broad-ftreet. The church is fuppofed to have belonged to an hofpital for lepers, founded about the year 1117, by Matilda queen to Henry I. In ancient times it was cuftomary here to prefent to malefaflors, on their way to the gallows (which, about the year 1413, was removed from Smithfield, and placed between St Giles’s high-ftreet and Hog-lane (c), a great bowl of ale, as the laft refreftiment they were to receive in this life. On the door to the churchyard is a curious piece of fculpture, reprefen ting the laft day, containing an amazing number of figures, fet up about the year Vol. XII. Part I. LON 1686. This church was rebuilt in 1625. By the Condon, amazing railing of the ground by filth and vari- ^ ous adventitious matter, the floor in the year 1730 was eight feet below the furface acquired in the intervening time. This alone made it neceffary to re¬ build the church in the prefent century. The firfl: ftone was laid in 1730 ; it was finiffied in 1734, at the expence of io,oool.—In the churchyard is a great fquare pit, with many rows of coffins piled one upon the other, all expofed to fight and fmell, the latter of which is highly offenfive if not dangerous. On the weft fide of Broad-ftreet flood the houfe of the Auguftines, founded by Humphrey Bohun earl of Somerfet in 1253, ^or friars and hermits of the 59 Auguftine order. On the diffolution of the mo- Winchefter nafteries, great part of the houfe was granted toHoute* William Lord St John, afterwards marquis of Win¬ chefter, and lord treafurer, who founded a magni¬ ficent houfe named Winchejler-houfe. The weft end of the church was granted in 1551 te John a Lafco for the ufe of the Germans and other fugitive Proteftants, and afterwards to the Dutch as a place for preach¬ ing. A part of it was alfo converted into a glafs- houfe for Venice glafs, in which the manufadhire was carried on by artifts from that city, and patronifed by the duke of Buckingham. The place was afterwards converted into Pinners-ha/l, belonging to the company of pinmakers. g0 To the eaftward of Winchefter-ftreet flood the houfe Greftiam of that very eminent merchant Sir Thomas Grefham, af-College* terwards known by the name of Grejham-college: (See Gresham). It has been pulled down not many years ago 5 and the Excife Office, a moft magnificent and atExcife the fame time Ample building, rofe in its place. Mr°®ce* Pennant informs us, that from the 5th of January 1786 to January 5th 1787, the payments into this office amounted to no lefs than 5,531,114!. 6s. ic-j-d. 62 The Royal Exchange, w hich is the meeting place ofRoyal Ex- the merchants of London, ftands in the ward ofcfi‘ir§e* Cornhill, and is the fineft and ftrongeft fabric of the kind in Europe. It was founded in the year 1566. Sir Thomas Greffiam, merchant in London, made an offer to the lord mayor and citizens, to build, at his own expence, a commodious edifice for mer¬ chants to meet and tranfadl bufinefs, provided the city would find him a convenient fituation for the fame. Mr Pennant informs us, that one Richard Clough a Welthman, originally Sir Thomas’s fervant, firft put him on this defign by a letter from Antwerp, in which he reproached the London merchants with having no place to tranfaft their bufinefs, but walking about in the rain, more like pedlars than merchants. The ci¬ tizens, in compliance with Sir Thomas’s defire, pur- B b chafed, [ 193 1 (c) This late place of execution, according to Mr Pennant, was called in the time of Edward III. when the gentle Mortimer finilhed his days here, the Elms: but the original as well as the prefent name was Ty- bourne; not from tye and burn, as if it were called fo from the manner of capital puniftiments 5 but from bourne, the Saxon word for a “ brook,” and Tye the name of that brook, which joined gave name to a manor before the conqueft. Here w as alfo a village and church denominated St John the Evangelifi, which fell to decay, and was fucceeded by that of Mary-bourne, corrupted into Mary la-bonne. In 1626, Queen Henrietta Maria was compelled by her priefts to take a walk by way of penance to Tyburn. What her offence was wa are not told •, but Charles was fo difgufted at this infolence, that he icon after fent them and all her majefty’s French fervants out of the kingdom. LON [i London, chafed, for the film of 3532l. 80 houfes in the two ■*-' alleys called New St Chrijlopher1 s and Swan-alley, lead¬ ing out of Cornhill into Threadneedle-ftreet. 1 he materials of thofe houfes were fold for 47^- and the ground, when cleared, was conveyed to Sir 'Ihomas Grelham, who, accompanied by feveral aldermen, laid the firlt brick of the new building on the 7th of June that year. Each alderman alfo laid his brick, and left a piece of gold for the workmen j who fet about it with fuch affiduity and refolution, that the whole fabric was roofed by the month of November 1567? and was foon after completed under the name of the Burfe. This building was totally deftroyed by the fire in 1666 j and in its place the prefent magnificent ilrudlure was erefted at the expence of 8o,oool. which Hands upon a plat of ground 203 feet in length and 171 in breadth, containing an area in the middle, of 61 Iquare perches, furrounded with a fubftantial and regular Hone building, wrought in ruftic. It has two fronts, north and fouth, each of which is a piaz¬ za j and in the centre are the grand entrances into the area, under a very lofty and noble arch. The fouth front in Cornhill is the principal } on each fide of which are Corinthian demi-columns, fupporting a compafs pediment ■, and, in the intercolumniation on each fide, in the bront next the ftreet, is a niche, with the ftatues of King Charles I. and II. in Roman ha¬ bits, and well executed. Over the aperture, on the cornice between the two pediments, are the king’s arms in relievo j on each fide of this entrance is a range of windows placed between demi-columns and pilafters of the Compofite order, above which runs a baluftrade. This building is 56 feet high j and from the centre, in this front, rifes a lanthorn and turret 178 feet high, on the top of which is a vane of gilt brafs made in the lhape of a grafiiopper, the creft of Sir Thomas Grelham’s arms. The north front in Threadneedle-ftreet is adorned W'ith pilafters of the Compofite order j but has neither columns nor ftatues on the outfide j and has triangular, inftead of com- 94 ] L O N pafs, pediments. The infide of the area is alfo fur- rounded with piazzas, forming ambulatories for mer-,• chants, &c. to ftielter themfelves from the weather, when met there upon bufinefs. Above the arches of this piazza is an entablature w'ith curious orna* ments : and on the cornice a range of pilafters with an entablature extending round, and a compafs pedi¬ ment in the middle of the cornice of each of the four fides. Under the pediment on the north fide are the king’s arms •, on the fouth, the city’s arms ; on the eaft, Sir Thomas Grelham’s arms 5 and on the weft, the mercers arms, with their refpe&ive enrichments. In thefe intercolumns are 24 niches, 20 of which are filled with the ftatues of the kings and queens of Eng¬ land. Under thefe piazzas, within the area, are 28 niches, all vacant but that in which Sir Thomas Gre- fham’s ftatue is placed in the north-weft angle, and that in the fouth-weft, where the ftatue of Sir John Barnard was placed in his lifetime by his fellow-citi¬ zens to exprels their fenfe of his merit. The centra of this area alfo is ornamented with a ftatue of King Charles II. in a Roman habit, {landing upon a marble pedeftal about eight feet high, and encompaffed with iron rails $ which pedeftal is enriched on the fouth fide with an imperial crown, a fceptre, fword, palm- branches, and other decorations, with a very flattering infcription to the king. On the weft fide is a Cupid cut in relievo, refting his right hand on a ftiield, with the arms of France and England quartered, and hold¬ ing a rofe in his left hand. On the north fide is an¬ other Cupid fupporting a ftiield, with the arms of Ireland j and on the eaft fide are the arms of Scot¬ land, with a Cupid holding a thiftle ; all done in re¬ lievo : the whole executed by that able ftatuary Mr Gibbon. In this area, merchants, and fuch as have bufinefs with them, meet every day at change hours •, and for the more regular and readier defpatch of bufinefs, they difpofe of themfelves into feparate walks, according to the following plan : London; North. Threadneedle-Street. Ealt country w'alk. irifla walk. Scotch walk. Dutch and Jewellers. Silkmens walk. Turkey walk. Clothiers walk. Grocers and Druggifts walk. Hamburgh walk. Salters walk. Brokers of Stock, &c. walk. Italian w'alk. I w u Virginia walk. Jamaica walk. Spanilh walk. Jews walk. cn s. it ^ “ % Cornhill. South. In Lone! on. 53 Oeneral Poft Office <54 The Man- fion hotife. ^5 St Stephen Church. 65 Lomfon- itohe. LON [1 In building this expenfive ftru&ure there was an eye 'not only to magnificence, and to accommodate the merchants, but alfo to reimburfe the expence. For this reafon a gallery was built over the four Tides of the Royal Exchange. This was divided into 200 {hops, which were let out to haberdafliers, milliners, &c. and which for feveral years were well occupied. But thefe {hops have now for a long time been deferted, and the galleries are let out to the Royal Exchange Aflurance- Office, the Merchant-feaman’s Office, the Marine So¬ ciety, and to au&ioneers, &c. Under the whole area there are the fineft dry vaults that can be found any¬ where, which are let out to the Eaft India Company to depofite their pepper. In the turret is a good clock with four dials, which is well regulated every day, fo that it becomes a ftandard of time to all the mercan¬ tile part of the town •, and it goes with chimes at three, fix, nine, and twelve o’clock, playing upon twelve bells. The outfide of this grand fabric fuffers very much in its elegance from the (hops that furround it, and are built within its walls ; and which are occu¬ pied by bookfellers, toymen, cutlers, hofiers, watch¬ makers, &c. South of the Royal Exchange, and near the weft extremity of Lombard-ftreet, is the General Pojl Office^ which is a handfome and commodious building. In Walbrook ward is the Manjion-houfe, for the re- fidence of the lord mayor. This edifice was begun in 1739, and finilhed in 1753. It is built of Portland ftone, with a portico of fix fluted columns, of the Corinthian order in the front. The bafement ftory is very mafly, and confifts of ruftic work ; in the centre of it is the door, which leads to the kitchen, cellars, and other offices. On each fide rifes a flight of fteps, leading up to the portico, in the middle of which is the principal entry. The ftone baluftrade of the flairs is continued along the front of the portico, and the columns fupport a large angular pediment, adorned with a group of figures in bas relief, reprefenting the dignity and opulence of the city of London. It is an extremely heavy building, of an oblong form, and its depth is the long fide, having feveral magnificent apart¬ ments, which are not, however, well lighted, on account of the houfes that furround it. i Behind the Manfion-houfe is St Stephen's Church, in Walbrook, juftly reputed the mafterpiece of the celebrated Sir Chriftopher Wren, and faid to ex¬ ceed every modern ftrmRure in the world in proportion and elegance. The PTanfion-houfe, and many adjacent buildings, ftand on the place where the Stocks-market once flood. This took its name from a pair of flocks ere&ed near the fpot in 1281 ; and was the great market of London for provifions during many centuries. In this ward is fituated one of the moft remarkable pieces of antiquity in London. It is a great ftone, now {landing in a cafe on the north fide of Canon- ftreet, clofe under the fouth wall of St Swithin’s church. It is called London-Jlone -And. was formerly pitched edgeways on the other fide of the ftreet, oppo- fite to where it now {lands, fixed deeply in the ground, and ftrongly faftened with iron bars $ but for the con- veniency of wheel-carriages it was removed to its pre- fent fituation. This ftone is mentioned fo early as the time of Athelftan, king of the Weft Saxons, and « 1 . L ° N has been carefully preferved from age to age. . Ot the original caufe of its eredtkm no memorial remains j but it is conjetlured, that as London was a Roman city, this ftone might be the centre, and might ferve as an objedt from which the diftance was computed to the other confiderable cities or ftations in the province. In Dowgate ward is a noted academy, called Mer- ^er«^nt' chant-Taylors School, from its having been founded by the merchant-taylors company, in the year 1561. It was deftroyed by the fire of London in 1666, but was rebuilt, and is a very large ftrudlure, with commodi- Lotidon. 67 ous apartments for the mailers and uflrei's, and a fine library. Sir Thomas White, lord mayor of this city, having founded St John’s college in Oxford in I557> appointed this fchool as a feminary for it, and efta- bliftied at Oxford 46 fellowftiips for fcholars eleded from this fchool. # 6S The church of St Mary le Bow, in Cordwainers- St Mary le ftreet ward, is the moft eminent parochial church in the £ow. city. It was originally built in the reign of William the Conqueror •, and Being the firft church the ileeple of which was embelliihed with ftone arches or bows, took thence its denomination of le Bowx It was burnt down in the fire of 1666, but foon afterwards rebuilt. The fteeple of this church is reckoned the moft beauti¬ ful of its kind in Eurepe. 69 In Cheap ward is Guildhall, or the townhoufe of Gu.klha.!. London. This was originally built in 1411, but fo damaged by the great fire already mentioned, as to be rebuilt in 1669. The front has a Gothic appear¬ ance j and this charadler is alfo due to the two gi¬ gantic effigies which ftand within the hall. The hall is 153 feet long, 50 broad, and 55 high, adorned with the royal arms, and thofe of the city and its com pa nies, as well as with feveral portraits of Engliffi fove- reigns and judges. In this building are many apart¬ ments lor tranfa&ing the bufinefs ef the city, befides one for each of the judicial courts, namely, that of the King’s Bench, the Common Pleas, and the Exchequer. 7 j In the year 1246 Cheaplide was an open field,Cheapfide. named Crown-field, from an inn with the fign of the crown. At that time, and even for 200 years after¬ wards, none of the ftreets of London were paved ex¬ cepting Thames-ftreet, and from Ludgate-hill to Cha- ring-Crofs. 7r. Go/d/mith's Hall {lands in Fofter-lane, which opens Goldfmiths into the weft end of Cheapfide.— In this lane alfo is J1 St Martin’s le Grand, which, though furrounded byStM7ary the city, was yet fubjedl, near three centuries, to ie Grand. Weftminfter Abbey. A fine college was built here in 700 by Wythred, king of Kent ; and, about the year 1036, rebuilt and chiefly endowed by Ingelric and Edward, two noble brothers. In 1068, it was con¬ firmed and made independent of every other eeclefiafti- cal jurifdidlton, even that of the pope himfelf not ex¬ cepted ; and its privileges were confirmed by fuccecd- ing monarchs. It was governed by a dean, and a number of fecular canons. In this jurildiction a mag¬ nificent church was erefted, but pulled down in 1548, when the college was furrendered ; alter which a tavern was erected on the fpot. 73 A little to the weftward of Mary le Bow church The orofs (in the adjoining ward), ftood the Crofs and Conduit Con* in the middle of the ftreet. The former was built by Edward I. in 1290, in memory of his queen Eleanor, B b 2» - whofe LON ^GTv’on. uhoft? body was refted on that fpot in its way to be ‘-“"-v—buried. Originally it had the ftatue of the queen at full length, reftmbling exactly that at Northampton. Having at length fallen to decay, it was rebuilt in 1441 by John Hutherby mayor of the city, at the ex¬ pence of feveral citizens, being now ornamented with various images, as thofe of the Refurreftion, the Vir¬ gin Mary, &c. As the magnificent proceflions took this road, it was new gilt at every public entry. After the Reformation, the images gave fo much offence, that it was thought proper to fubftitute that of Diana in place of the Virgin Mary. This, however, was relented by Queen Elizabeth, who offered a reward for the difcovery of the offenders. As (he imagined that a crofs, the fymbol of the Chriftian religion, could not juftly give offence to any profeffor of that religion, {he ordered a crofs to be placed on the fum- mit and gilt*, but in 1643, the parliament ordered the demolition of all croffes and other marks of Romilh fu- perllition. Splendid tournaments were held between the Crofs and Sopers-lane in the year 1331 j but as Queen Phi¬ lippa and a great number of other ladies, dreffed in rich attire, were fitting on the upper fcaffolding to behold the fports, the feat gave way, and they fuddenly fell down among the knights and others who flood below $ many of whom were grievoufly hurt. The carpenters ■were faved from punifhment by the interceflion of the queen j but the king, to prevent accidents of the like nature, ordered a building of ftone to be eredled near Bow church, from whence the queen and other ladies might behold fuch fpeblacles in fafety. This was ufed for the fame purpofe till the year 1410, when Hen¬ ry IV. granted it to certain mercers, who converted it into {hops, warehoufes, and other places neceffary for their trade. A fmall diftance eaftward from the Crofs flood the Conduit, which ferved to fill the leffer ones with wa¬ ter brought by pipes from Paddington.—This flood on the fpot where the old conduit was fituated, which was founded in 1285, conftrufted of ftone lined with lead, and rebuilt in 1479 by Thomas Ilan, one of the ftie- riffs. On fome grand occafions, thefe conduits have been made to run with claret 5 as at the coronation of Anna Bullen. 74 ^ On the north fide of Cheapfide flood the Hofpital of Hr" ^ Thomas of Aeon, founded by Fitz-Theobald de Hel- les, and his wife Agnes, lifter to the famous Thomas a Becket. The hofpital was built 20 years after the murder of Thomas $ and fuch was his reputation for fantlity, that it was dedicated to him even before he was canonized, and that in conjundtion with the Vir¬ gin Mary herfelf. The whole was granted by King Henry VIII. to the company of mercers. It was deftroyed by the great fire in 1666 ; but rebuilt by the mercers company, who have their hall here.—Imme¬ diately to the eaft is a narrow ftreet called the O/A Old Jewry. Jewry> which took its name from a great fynagogue which flood here till the Jews were expelled the king- L O N dom in 1291. After them an order of friars named London. Fratres de facca, or de penitentia, took poffeflion of the fynagogue : and in 1305, Robert Fitzwalter, the great banner-bearer of the city, requefled that the friars might aflign it to him j the reafon of which probably was, that it flood near to his houfe, which was fitu¬ ated in the neighbourhood of the prelent Grocers-hall. The chapel was bought by the grocers from Fitzwalter in 1411 for 320 marks. ^ In Baflilhaw or Bafinghall ward, is B/achwe/l orBakewell I Bakewe.ll hall, which adjoins to Guildhall, and is the Hall, greateft mart of woollen cloth in the world. It was purchafed of King Richard II. by the city j and has ever fince been ufed as a weekly market for broad and narrow wroollen cloths, brought out of the country. Formerly proclamations were iffued to compel people to bring their goods into the hall, to prevent deceit in the manufaiffures, which might be productive of dif- credit in foreign markets, and likew ife be the means of defrauding the poor children of Chrift’s hofpital of part of the revenue which arofe from the hallage of this great magazine. It fuffered in the general deva- ftation in 1666 ■, but was rebuilt in 1672, and is now a fpacious edifice, with a ftone front adorned with co¬ lumns. -y Gripplegate ward is remarkable for a college, called Sion Col- i Sion College, founded in 1627, on the fite of Fifing-kge* hofpital (d) or priory, by Dr Thomas White, vicar of St Dunftan’s in the Weft, for the improvement of the London clergy ; and with alms-houfes under their care, for 20 poor perfons, 10 men and 10 women. In the year 1631, a charter was procured for incorporat¬ ing the clergy of London, by which they were confti- tuted fellows of the college j and out of the incumbents are annually elefted, on Tuefday three weeks after Eafter, a prefident, twro deans, and four afliftants, who are to meet quarterly to hear a Latin fermon, and af¬ terwards be entertained at dinner in the college hall at the expence of the foundation. John Simpfon, re£lor of St Olave’s, who fuperintended the building, added, at his own expence, for the ufe of the ftudious part of the London clergy, a library 1 20 feet long, and am¬ ply filled with books. ^3 In this ward is a hall which belonged to the com-Barbers pany of barber-furgeons, the profeflions of barber and Hall, furgeon being formerly exercifed by the fame perfon. It was built by the celebrated Inigo Jones, and the upper end is formed out of one of the towers or barbi¬ cans of London wall. The anatomical theatre is el¬ liptical, and very finely contrived. The hall is now called Barbers hall; the furgeons, who difdained to be any longer affociated with their ancient brethren, hav¬ ing obtained a feparate charter, and built themfelves a new hall in the Old Bailey. ^ Farringdon ward w ithin, is diftinguilhed by the St Paul’s moft magnificent Proteftant church in the world, the Cathedral, cathedral of St Paul. The beft authority we have for the origin of this church, is from its great reftorer Sir Chriftopher Wren.. His opinion, that there had been [ 196 1 (d) This was founded by William Fifing mercer in 1329 (on the fite of a decayed nunnery), for the fup- port of 100 blind men. He afterwards changed it into a priory, and became himfelf the firft prior, who with four canons-regular were to fuperintend the miferable objects. 4 LON [ i a church on this fpot, built by the Cbintians in the time of the Romans, was confirmed : when he fearch- ed for the foundations for his own defign, he met with thoie of the original prejbyterium, or lemicircular chancel, of the old church. They confifted only of KentUh rubble ftone, artfully worked, and eonfolidated with exceedingly hard mortar, in the Roman manner, much excelling the fuperftruffure. He explodes the notion of there having been here a temple of Diana, and the difcovery of the horns of animals ufed in the facrifices to that goddefs, on which the opinion had been founded, no fuch having been difcovered in all his 1’ea relies. The fir ft church is fuppofed to have been defiroyed in the Dioclelian perfecution, and to have been re¬ built in the reign of Conftantine. This was again demolilhed by the pagan Saxons j and reftored, in 603, by Sebert, a petty prince, ruling in thefe parts, under Ethelbert king of Kent, the firft Chriftian monarch of the Saxon race ; who, at the inftance of St Auguftine, appointed Melitus the firft bilhop of London. Erkenwald, the fon of King Offa, fourth in fucceflion from Melitus, ornamented his cathedral very highly, and improved the revenues with his own patrimony. He was moft defervedly canonized : for the very litter, in which he was carried in his laft ill- nefs, continued many centuries to cure fevers by the touch } and the very chips, carried to the fick, reftored them to health ! When the city of London was deftroyed by fire, in 1086, this church was burnt; the bifhop Mauritius began to rebuild it, and laid the foundations, which remained till its fecond deftruftion, from the fame caufe, in the laft century. Notwithftanding Mauri¬ tius lived twenty years after he had begun this pious work, and Bifhop Beauvages enjoyed the fee twenty more, yet fuch was the grandeur of the defign, that it remained unfiniihed. The firft had the ruins of the Palatine tower beftowed on him, as materials for the building ; and Henry I. beftowed on Beauvages part of the ditch belonging to the tower, which, with purchafes made by himfelf, enabled him to en- clofe the whole with a wall. The fame monarch grant¬ ed befides, that every fhip which brought ftone for the church, Ihuuld be exempted from toll; he gave him alfo all the great fifti taken in his precindls, except the tongues: and, laftly, he fecured to him and his fuccef- for the delicious tythes of all his venifon in the county of EiTex. The ftyle of th« ancient cathedral was a moft beau¬ tiful Gothic ; over the eaft end was an elegant cir¬ cular window ; alterations were made in the ends of 97 ] L O N the two tranfepts, fo that their form is not delivered down to us in the ancient plans ; and from the central tower rofe a lofty and moft graceful fpire. The dimen- fions, as taken in 1309, were thefe : The length fix hundred and ninety feet ; the breadth a hundred and twenty ; the height of the roof of the weft part, from the floor, one hundred and two ; of the eaft part, a hundred and eighty-eight ; of the tower, two hundred and fixty ; of the fpire, which was made of wood cover¬ ed with lead, two hundred and leventy-four. The whole fpace the church occupied was three acres, three roods, and twenty-one perches. We may be aftonilhed at this amazing building, and naturally inquire what fund could fupply money to fupport fo vaft an expence. But monarchs refigned their revenues refulting from the cuftoms due for the materials, which were brought to the adjacent wharfs : they furniftied wood from the royal forelis: prelates gave up much of their revenues ; and, what was more than all, by the pious bait of indulgences, and rCmil- fions of penance, brought in from the good people of this realm moft amazing fums. Pope Innocent III. in 1252, gave a releafe of fixty days penance; the archbiftiop of Cologne gave, a few years before, a re¬ laxation of fifty days ; and Boniface archbifliop of Canterbury, forty days. The high altar dazzled with gems and gold, the gifts of its numerous votaries. John king of France, when prifoner in England, nrft paying his refpefts to St Erkenwald’s ftirine, offered four bafons of gold : and the gifts at the obfequies of princes, foreign and Britifh, were of immenfe value. On the day of the converfion of the tutelar faint, the charities were pro¬ digious, firft to the fouls, when an indulgence of forty .days pardon was given, vere pcenitentibus, contritis et conf jjh ; and, by order of Henry HI. fifteen hundred tapers were placed in the church, and fifteen thoufand poor people fed in the churchyard. The holinefs of this place did not prevent thieves and profligates of all denominations from lurking w ithin the precinfts, and committing, under the favour of the night, murders and every fort of crime. Edward I. gave the dean and canons permiffion to enclofe the whole within a wall ; and to have gates to be ftiut every night, to exclude all diforderly people. • Within thefe walls, on the north-weft fide, was the biftiop’s palace. Froiffart tells us, that after the great tour¬ nament in Smithfield, King Edward III. and his queen lodged here, on occafion of their nuptials (e).—In 1561, the noble fpire was totally burnt by lightning, and never reftored. In confequence of the refolutions taken in 1620, by James I. London. (e) Before this cathedral was the famous Paul's Crofs, a pulpit formed of wood, mounted upon fteps of ftone, and covered with lead, in which the moft eminent divines were appointed to preach every Sunday in the forenoon. To this place, the court, the mayor and aldermen, and principal citizens, ufed to refort. The greateft part of the congregation fat in the open air ; the king and his train had covered galleries ; and the bet¬ ter fort of people were alfo protected from the injury of the weather; but the far greater part flood expofed in the open air : for wrhich reafon the preacher went in very bad weather to a place called the Shrouds; a covered fpace on the fide of the church, to protect the congregation in inclement feafons. Confiderable contributions were raifed among the nobility and citizens, to fupport fuch preachers as were (as was often the cafe) called to town from either of the univerfities. In particular, the lord mayor and aldermen ordered that every preacher, who came from a diftance, ftiould be freely accommodated, during five days, with fweet and convenient lodgings, candle,, ’London. LON [ 198 ) LON James I. to repair the cathedral, the celebrated Inigo Jones was appointed to the work. But it was not at¬ tempted till the year 1633, when Laud laid the firft ftone, and Inigo the fourth. That great architect begun with a mod notorious impropriety, giving to the weft end a portico of the Corinthian order, beau¬ tiful indeed, to this ancient Gothic pile $ and to the ends of the two tranfepts Gothic fronts in a moft hor¬ rible ftyle. The great fire made way for the reftoring of this magnificent pile in its prefent noble form by Sir Chriftopher Wren, an architeft worthy of fo great a defign. It is built of fine Portland ftone, in form of a crofs. sOn the outfide are two ranges of pilafters, confifting of a hundred and twenty each •, the lower range of the Corinthian order, and the upper of the Compofite. The fpaces between the arches of the windows and the architrave of the lower order, are filled with a great variety of curious enrichments, as are alfo thofe aboVe. On the north fide is a portico, the afcent to which is by twelve fteps of black marble, and its dome fupported by fix very large columns. Over the dome is a pediment, the face of which is engraved with the royal arms, regalia, and other ornaments. On the fcuth is a portico, the afcent to which is by twenty- five fteps, and its dome fupported by fix columns, cor- refponding with thofe on the north fide. The weft front is graced with a moft magnificent portico, fup¬ ported by twelve lofty Corinthian columns : over thefe are eight columns of the Compofite order, which fup- pcrt a noble pediment, crowned with its acroteria, and in this pediment is the hiftory of St Paul’s converfion, boldly carved in bas relief. The afcent to this portico is by a flight ef fteps of black marble, extending the whole length of the portico j and over each corner of the weft front is a beautiful turret. A vaft dome, or cupola, rifes in the centre of the building. Twenty feet above the roof of the church is a circular range of thirty-two columns with niches, placed exa&ly againft others within. Thefe are terminated by their entablature, which fupports a handfome gallery, adorn¬ ed with a ftone balluftrade. Above the columns laft mentioned is a range of pilafters, with windows be¬ tween them : and from the entablature of thefe, the diameter of the dome gradually decreafes. On the fummit of the dome is an elegant balcony, from the centre of which runs a beautiful lanthorn, adorned with Corinthian columns. The whole is crowned with a copper ball, fupporting a crofs, both finely gilt. Within, the cupola ftands on eight ftupendous pillars curioufly adorned : the roof of the choir is fupported by fix pillars, and that of the church by two ranges, confifting of twenty more. The roof of the church and choir is adorned with arches and fpacious periphe¬ ries of enrichments, admirably carved in ftone. Quite round the infide of the cupola, there is a whifpering iron balcony, or gallery, the top of which is richly painted by Sir James Thornhill. The firft ftone of this fuperb edifice was laid on June 21. 1675 ; and the building was completed in 1710 j but the whole decorations were not finilhed till 1723. It was a moft Angular circumftance, that, not- withftanding it was 35 years in building, it was begun and finilhed by one architect, and under one prelate, Henry Compton biftiop of London. The church of St Peter’s was 135 years in building, in the reigns of 19 popes, and went through the hands of twelve archi¬ tects. It is not, as often miftaken, built after the mo¬ del of that famous temple : it is the entire conception of our great countryman, and has been preferred in fome refpe&s by a judicious writer, to even the Roman Bafilica. Its dimenfions are lefs. The comparative view is given in the Parentalia, and copied in London and its Environs. The height of St Peter’s, to the top of the crofs, is 437 feet and a half; that of St Paul’s 34O feet ; fo that, from its fituation, it is lofty enough to be feen from the fea. The length of the firft is 729 feet ; of the latter, 500. The greateft breadth of St Peter’s is 364; of St Paul’s, 180. In the reigns of James I. and Charles I. the body of this cathedral w-as the common refort of the poli¬ ticians, the news-mongers, and idle in general. It vras called Paul's tvalk; and is mentioned in the old plays and other books of the times. Notwithftanding the magnificence of this noble pile, however, it is remarked to have many defeCls. Its fituation is fuch, that it cannot be view-ed at a diftance. The divifion of the porticos, and the whole ftruClure, into two ftories on the outfide, certainly indicates a like divifion within, which is acknowledged to be a fault. The dome, it has alfo been obferved, bears too great a proportion to the reft of the pile, and ought to have been raifed exactly in the centre of the building ; be- fides that, there ought to have been two fteeples at the eaft end, to correfpond tfith tliofe at the weft. On entering this church, we inftantly perceive an obvious deficiency, not only of elevation but length, to affift the perfpeftive 5 and the columns are heavy and clumfy, rather encumbering the profpeft than enriching it. St Paul’s occupies an area of fix acres, and is railed all round with iron baluftrades, each about five feet and a half high, fixed on a dwarf wall of hewn ftone. In the weft end of this area is a marble ftatue of Queen Anne, holding a fceptre in one hand, and a globe London. candle, and all neceffaries. And notice was given by the biftiop of London, to the preacher appointed by him, of the place he was to repair to. We hear of this being in ufe as early as the year 1259. ^ was as Pennant obferves, not only for the inftruftion of mankind by the dodtrine of the preacher, but for every purpofe political or ecclefiaftical-j for giving force to oaths, for promulging ef laws, or rather the royal pleafure, for the emiflion of papal bulls, fer anathematizing finners, for benedidlions, for expofing of penitents under cenfure of -the church, for recan¬ tations, for the private ends of the ambitious, and for the defaming of thofe who had incurred the difpleafure of crowned heads. It was demoliftied in 1643 ^7 order of parliament, executed by the willing hands of Ifaac Pennington the ^gnatical lord mayor of that year, who died in the Tower a convidted regicide. ( LON t '99 ] LON So College of Ph) fid an Si Ch rift’s HofpitaL La,don. globe in tbe other, furrounded with four emblematical ■—figures reprefenting Great Britain, France, Ireland, and America. Befides very large contributions for carrying on this edifice, the parliament granted a duty on fea-coal, ■which, at a medium, produced 5000I. a year ; and the whole ex pence of the building is faid to have amounted to 736,752!. 2s. 3d. On the ealt fide of the cathedral is St Paul's School, founded in 1509 by Dr John Collet dean of this church, who endowed it for a principal mafter, an un- der-mafter, a chaplain, and 153 fcholars. In Warwick-lane, in the fame ward, Hands the Col¬ lege of Physicians, eretted in 1682 by Sir Chriftopher Wren. It is built of brick, and has a fpacious ftone frontifpiece. Near the fouth extremity of the Old Bailey, on the eaft fide, is the hall of the Company of Surgeons, with a theatre for difie&ion. . Adjoining to Chrift-church in Newgate-ftreet is Chrift's Hofpital, which, before the diflblution of nao- nafteries by Henry VIII. was a houfe of Gray-friars. The hofpital was founded by King Edward VI. for fupporting and educating the fatherlefs children of poor freemen of this city 5 of whom 1000 of both fexes are generally maintained in the houfe or out at nurfe, and are likewife clothed and educated. In 1673, a mathematical fchool was founded here by Charles H. endowed with 320I. a-year j and a writ¬ ing fchool was added in 1694 by Sir John Moor, an alderman of the city. After the boys have been feven or eight years on the foundation, fome are fent to the univerfity and others to fea \ while the reft, at a pro¬ per age, are put apprentices to trades at the charge of the hofpital. At firft their habit was a ruffet cotton, but was foon after changed for blue, which has ever fince continued to be their colour j and on this account the foundation is frequently called the Blue-coat hofjntal. The affairs of this charity are managed by a prefident and about 300 governors, befides the lord mayor and aldermen. The fabric, which is partly Gothic and partly modern, was much damaged by the fire of 1666, but was foon repaired, and has been fince increaled with feveral additions. The principal buildings, which form the four fides of an area, have a piazza round them with Gothic arches, and the walls are fupported by abutments. The front is more modern, and has Doric pilafters fupported on pedeftals. In Caftle-Baynard ward is a large ftru&ure called Do&ors Commons* It confifts of feveral handfome pa¬ ved courts, in which the judges of the court of admiral¬ ty, thofe of the court of delegates, of the court of arches, and the prerogative court, with the dodlers that plead caufes, and the proftors of the place, all live in a col¬ legiate way •, and from commoning together, as in other colleges, the name of Doftors Commons is de¬ rived. Here courts are kept for the trial of civil and ecclefiaftical caufes under the archbiftiop of Canterbury and the biftiop of London. The college has an excel¬ lent library, every bifliop at his confecration giving 25I. or 50I. towards purchafing books for it. Near Do&ors Commons, on St Bennet’s Hill, is the College of Heralds, who were incorporated by King Richard III. Befides the chief officer, rvho is the earl-marffial of England, here are three kings at arms, I London. 8a Dodlors Commons. College of Heralds. viz. Garter, Clarencieux, and Norroy, with fix heralds, four purfuivants, and eight pro&ors. Garter attends the inftalments of knights of that order, carries the garter to foreign prince^, regulates the ceremonies at coronations, and the funerals of the royal family and nobility : Clarencieux dire&s the funeral ceremonies of thofe under the degree of peers fouth of Trent; and Norroy performs the like office for thofe north of Trent. This building was originally the houfe of the earl of Derby. It is a fpacious quadrangle, built of brick, and has convenient apartments. Here are kept records of the coats of arms of all the families and names in England, with an account when they were granted, and on what occafion. In Farringdon ward without, is a large building BridewelL called Bridewell, from a fpring formerly known by the name of St Bridget’s or St Bride’s Well. It was ori¬ ginally a royal palace, and occupied all the ground from Fleet-ditch on the eaft to Water-lane on the weft. That part of it now called Salijbury-court was given to the biihops of Salifbury for their town refidence ; and the eaft part, which w as rebuilt by King Henry VIII. is the prefent Bridewell. It was granted to the city by Edward VI. as an hufpital } and he endowed it for the lodging of poor travellers, and for the corre&ion of vagabonds, {trumpets, and idle perfons, as well as for finding them work. In one part of the building 20 artificers have houfes j and about 150 boys, dil- tinguiffied by white hats and blue doublets, are put apprentices to glovers, flaxdreffers, weavers, &c. and when they have ferved their time are entitled to the freedom of the city, with 10I. towards carrying on their refpe&ive trades. The other part of Bridewell is a receptacle for diforderly perfons, who are kept at beating hemp and other hard labour. Near Bridewell is St Bride's Church, a {lately fabric in feet long, 57 broad, and 41 high, with a beautiful fpire 234 feet in altitude, and has a ring of 12 bells in its tower. 85 Oppofite to Fleet-ditch, over this part of the river, Blackfriars Hands Blackfriars Bridge; a moft elegant ftructure, Bridge, built after the defign of Mr Robert Mylne. The fituation of the ground on the two {bores obliged the architefl to employ elliptical arches ; which, however, have a very fine effeft. The number of arches is nine j of which the centre one is 100 feet wide. The whole length is 995 feet j the breadth of the carriage-way is 28 feet, and that of the two foot ways 7 each. Over each pier is a recefs j an apology for the beautiful Ionic pillars which fupport them, and which have a moft beautiful effe& from the river. This bridge was begun in 1760 j and finiffied in 1768, at the expence of 152,840!. to be difcharged by a toll upon the paf- fengers. It is fituated almoft at an equal diftance be¬ tween thofe of Weftminfter and London, commands a view of the Thames frmr* the latter to Whitehall, and difcovers the majefty of St Paul’s in a very ftriking manner. S6 Weji Smithfield. In this ward is an area containing Smithfield. three acres of ground, called in old records Smithjield- Pond or Horfe Pool, it having been formerly a watering place for horfes. It was in ancient times the common place of execution ; and at the fouth-weft corner there was a gallows called the Elms, from a number of elm- trees LON [ 200 ] LON London. 87 St Bartho¬ lomew’s IJofpital. 88 Old Bailey. 89 Newgate. 99 Fleet-pri- fon. trees that grew in the neighbourhood. It was like- wife the fcene of public jufts and tournaments, and has been a market-place for cattle above 900 years. On the fouth fide of this, area, and contiguous to Chriit’s hofpital, is St Bari/io/omew's Hofpital. It was originally founded foon after the acceffion of Henry I. by Rahere the king’s jefter, as an infirmary for the priory of St Bartholomew' the Great, which then Hood near the fpot. But upon the diffolution of religious houfes, Henry VIII. refounded it, and endowed it with 500 marks a-year, on condition that the citizens fhould pay the fame fum annually for the relief of 100 Jame and infirm patients. The endowments of this charity have fince been fo much enlarged, that it now receives the diltreffed of all denominations. In 1702, a beautiful frontifpiece w'as creeled towards Smithfield, adorned with pilafters, entablature, and a pediment of the Ionic order, with a ilatue of King Henry VIII. Handing in a niche in full proportion, and thofe of two cripples on the top of the pediment over it. In 1729, a plan was formed for rebuilding the reft of this hofpi¬ tal, in confequence of which a magnificent edifice has been eredted. Among many other privileges granted by Henry I. to the prior and canons of the monaftery of St Bar¬ tholomew the Great, and to the poor of the infirmary, was that of keeping a fair in Smithfield on the eve, day, and morrow, of St Bartholomew. This fair, called Bartholomew fair, has been held annually ever lince : and by the indulgence of the magiftrates of London, to whom the privilege of keeping it devolved upon the difiblution of the priory, it ufed to continue a fortnight. A great number of booths was eredled in it by the adlors of the theatres, for the exhibition of dramatic performances of various kinds ; and it be¬ came at length a fcene of fo much licentioufnefs and riot, that Sir John Barnard w'hen lord mayor of Lon¬ don reduced the time of the fair to its original dura¬ tion of three days. This laudable example has been followed ever fince j and the magiftrates have likewife prohibited all public exhibitions which had been for¬ merly accompanied wdth fo much diforder. In a ftreet in this ward, called the Old Baileij, is a hall named Jujlice hall, or the Seffiori's houfe, where a court is held eight times a-year by the king’s com- miflion of oyer and terminer for the trial of criminals for offences committed within the city of London and county of Middlefex. The judges of this court arc the lord mayor, thofe of the aldermen that have ferved that office, and the recorder \ w ho are attended by the Iheriffs and by one or more of the national judges. In this ftreet is alfo the great criminal prifon, lately built in a much more convenient fituation, and on a more enlarged plan, than the former prifon, called Newgate: by which name it is Hill diftinguiffied. Here the unfortunate debtert will no longer be an¬ noyed by the dreadful rattle of chains, or by the more horrid founds iffuing from the lips of thofe wretched beings who fet defiance to all laws divine and human j and here alfo, the offender, whofe crime is not capital, may enjoy all the benefits of a free open air. In this ward is likewife a prifon called the Fleet Prifon, from a fmall river named the Fleet which for¬ merly ran by it: this building is large, and reckoned the beft in the city for good rooms and other conve¬ niences. It has the benefit of a large yard, which London, is enclofed w ith a very high wall. This prifon is asl"— ancient as the reign of Richard I. and belongs to the court of chancery, &e. . t In Chancery-lane, in this ward, is an office confift-The R0II5. ing of a houfe and chapel, called the office and chapel of the Rolls, from being the great repofitory of the modern public rolls and records of the kingdom. This building was originally the houfe of an eminent Jew j but being forfeited to the crown, King Henry III. in the year 1223 converted it into a holpital for the reception and accommodation of Jewifti and other pro- felytes. In I377? Edward III. granted this hofpital and its chapel to William Burftall, mailer of the rolls, to whofe fucceffors in that office it has ever fince be¬ longed. Round this office there is a fmall diftrift confifting of about 200 houfes, called the Liberty of the Rolls, over which the magiftrates of London have no authority, it being under the government of the mailer of the rolls. In this ward are feveral Inns of court and chancery, particularly the Inner and Middle Temple, Serjeants Inn, Clifford’s Inn, Barnard’s Inn, Staple’s Inn, and Futnival’s Inn. 91 The Temple received its name from being originally The Tem. founded by the Knights Templars, w'ho fettled herePle* in 118 if. It was at firft called the Ntw Temple, to diftinguilh it from the former houle of the Knights Templars, which Hood in Holborn near Chancery lane. The original building was divided into three parts; the Inner, the Middle, and the Outer Temple. The Inner and the Outer Temple were fo called, becaufe one was within and the other was without the Bar ; and the Middle derived its name from being fituated between them. Upon the diffolution of the order of Knights Templars, the New Temple devolved to the Knights Hofpitallevs of St John of Jerulalem, who granted a leafe of it to the ftudents of the common law, and converted that part of it called Inner and Middle Temple into two inns of court for the ftudy and prac¬ tice of the common law. The Outer Temple became a houfe for the earl of Effex. The buildings of the Temple efcaped the fire in 1666, but were moll of them deftroyed by fublequent fires, and have fince been rebuilt. The two Temples are each divided into feveral courts, and have pleafant gardens on the banks of the Thames. They are ap¬ propriated to diftinfl focieties, and have feparate halls, where the members dine in common during term-time. The Inner Temple hall is faid to have been built in the reign of Edward III. and the Middle Temple hall, which is a magnificent edifice, was rebuilt in 1572 in form of a college hall. The Middle Temple gate, Mr Pennant informs us, was eredted by Sir Amias Powlet on a lingular occafion. It feems that Sir A- mias, about the year 150J thought fit to put Cardi¬ nal Wolfey, then parfon of Lymington, into the Ilock^. In 1515, being fent for to London by the cardinal on account of that ancient grudge, he was commanded not to quit town till farther orders. In confequence, he lodged five or fix years in this gateway, which he rebuilt; and to pacify his eminence, adorned the front with the cardinal’s cap, badges, cognifance, and other devices of this butcher’s fon j fo low were the great meb L ON f 2v London, men obliged to ttoop to that meteor of the times ! >—* Each temple has a good library, adorned with paint¬ ings, and well furnilhed with books. An affembly, called a parliament, in which the affairs of the fuciety of the Inner Temple are managed, is held there every term. Both Temples have one church, firft founded in 1185, by the Knights Templars j but the prefent edifice is fuppofed to have been built in 1420. It is fupported by neat flender pillars of Suffex marble, and is one of the moft beautiful Gothic ftrudtures in Eng¬ land. In this church are many monuments, particu¬ larly of nine Knights Templars cut in marble in full proportion, lome of them feven feet and a half long j fix are crofs-legged, and therefore fuppofed to have been engaged in the crufades. The minifler of this church, who is ufually called the majler of the Temple, is appointed by the benchers or fenior members of both focieties, and prefented by a patent from the crown. Shakefpeare (whether from tradition or hiftory) makes the Temple garden the place in which the badge of the white and red rofe originated-, the diflinftive badge of the houfes of York and Lancafter, under which the refpedtive partiz^ns of each arranged themfelves in the fatal quarrel which caufed fuch torrents of Englifh blood to flow. Near the Temple bar is the Devil's Tavern, fo called from its fign of St Dunftan feizing the evil fpirit by the nofe with a pair of hot tongs. Ben Johnfon has im¬ mortalized it by 'tils'Leges Conviviales, which he wrote for the regulation of a club of wits held in a room he dedicated to Apollo j over the chimney-piece of which they are preferved. The tavern was in his days kept by Simon Wadloe j whom, in a copy of verfes over the door of the Apollo, he dignified with the title of King of Skinkers. Serjeants Inn is a fmall inn in Chancery-lane, where the judges and ferjeants have chambers, but not houfes, as they had in another inn of this name in Fleet-ftreet, which they abandoned in 1730 j but in each of them there is a hall and a chapel. Clifford's Inn is an inn of chancery belonging to the Inner Temple. It was ori¬ ginally a houfe granted by Edward II. to the family of the Cliffords, from which it derived its name 5 but was afterwards let upon leafe to the ftudents of the law, and in the reign of Edward III. fold to the mem¬ bers of this fociety. Bernard's Inn is likewife an inn of chancery belonging to Gray’s Inn. It (lands in Holborn, and was the houfe of John Mack worth, dean of Lincoln, who gave it to the profeffors of the law. Staple's Inn belongs alfo to Gray’s Inn, and is fituated in Holborn. It was once a hall for the merchants of the llaple for wool, whence it derives its name j but it was purchafed by the benchers of Gray’s Inn, and has been an inn of chancery fince the year 1415. Fnrnival's Inn is an inn of chancery belonging to Lincoln’s Inn, and was once the houfe of the family of the Furnivals, by whom it was let out to the profeflbrs of the law. It is a large old building, with a hall and a pleafant garden. In Coleman-ftreet ward, on the fouth fide of a large fquare called Mooffelds, flood Bethlehem IIoff it a /, fo u n d - ed in 1675 by the lord mayor and citizens of London for the reception and cure of poor lunatics. It was a noble edifice, built with brick and (tone, and adorned w ith pilafters, entablatures, and fculpture ; particularly with the figures of two lunatics ever the prand gate. Vgl. XII. Part I. i j L O N which are well executed. This building w-as 540 feet Londi)». 93 Inns of Chancery „ 94 Bethlehem Hofpital. 95 long and 40 broad, exclufive of two wings of a later v ereftion, intended for the reception of fuch lunatics as were deemed incurable. This hofpital contained a great number of convenient cells or apartments, where the patients were maintained and received all medical aflift- ance without any other expence to their friends than that of bedding. The (Irufture was divided into twm (lories, through each of which ran a long galldry from one end of the houfe to the other. On the fouth fide were the cells, and on the north the windows that gave light to the galleries, which were divided in the middle by handfome iron gates, to keep the men and women feparate. This hofpital being pulled down, it is intend¬ ed to ereft another building for the ufe of the fame charity, at a (liort diftance from the metropolis. A new road is to be opened from the fite of the old hofpital to the Royal Exchange. Oppofite to Bethlehem hofpital (toed that of St St Luke’s Luhe, a long plain building, till of late appropriated toHolpital- the fame purpofes, but wholly independent of the for¬ mer. It was founded on the humane coniideration that Bethlehem was incapable of receiving all the mi- ferable objefts which were offered. Gf late years the patients were removed from the old hofpital to a new one erected under the fame name in Old-ftreet, on the plan of the former, extending in front 492 feet. The old hofpital is now pulled down, and replaced by a handfome row of houfes. Uncured patients may be taken in again, by a very liberal regulation, on the pay¬ ment of five (hillings a week ; fothat their friends may, if they choofe, try a fecond time the force of medicine on their unhappy relations or acquaintances. Befides the three markets already mentioned atDjffgrenf Smithfield for cattle and hay, at Leadenhall for but-markets, chers meat, wool, hides, and Colcheller baize, and at Billingfgate for Lftr 5 there are in this city the fol¬ lowing other markets, which are all very confiderable, viz. Honey-lane, Newgate, and Fleet-market, chiefly for flefh, though with feparate divifions for fiflr, butter, eggs, poultry, herbs, and fruit j and the Three-Cranes market, for apples and other fruit. The principal corn- market is held in a neat exchange fituated in Market- lane, and that for flour at Queenhithe. In Thames- (Ireet, near Billingfgate, there is an exchange for dealers in coals and mailers of veffels in that trade to tranfaeffc their bufinels. II. The borough of SOUTH JVAKK. It was called 2. Borough by the Saxons Suth, or the v Bordello cG) In 1277 this prifon was broken open by a mob of failors, who murdered a gentleman confined in it for killing one of their comrades, and who had been pardoned by the court. It was again broken open by Wat Tyler and his followers in 1381. It efcaped in the infamous riots of 1780, while the King s Bench, the Bo¬ rough Prifon, and the Clink Prifon, .were nearly at the fame inftant facrificed to their fury. London. LON [20 Bordello or Stews, permitted and openly licenfed by 1 government, under certain laws or regulations. They were farmed out. Even a lord mayor did not difdain to own them : but rented them to the Froes, that is, “ the bawds,” of Flanders. Among other Angular regulations, no ftewholder was to admit married wo¬ men ; nor were they to keep open their houfes on Sun- • days 5 nor were they to admit any women who had on them the perilous infirmity of burning. Fhefe infamous houfes were very properly fuppreffed in the reign of Henry VIII. The bifhop of Winchefter had formerly a palace here with a park (the fame that is now called South- warle-parh'), which is fince converted into warehoufes and tenements, held by leafe Irom the bifhops of that fee* * St Thomas’s Befides feveral alms-houfes, there are here St 1 ho- Hoipital. mas's and Guy's Uofpital, two of the’ noble ft endow¬ ments in England. The former was firft ere&ed in 1215 by Peter de Rupibus, biftiop of Winchefter, who endowed it with land to the amount of 343I. a-year j from which time it was held of the abbots of Bermond- fey, one of whom in 1428 granted a right to the mafter of the hofpital to hold all the lands it was then in pof- feflion of belonging to the faid abbot and convent, the whole revenue of which did not exceed 266k 17s- 6d. per annum. In the year 1551, after the citizens of London had purchafed of Edward VI. the manor of Southwark and its appurtenances, of which this hof¬ pital was a part, they expended iiool. in repairing and enlarging the edifice, and immediately received into it 260 patients; upon which the king in 1553 incorporated this hofpital with thofe of Chrift-church and Bridewell in the city of London. The building being much decayed, three beautiful fquares adorned -with colonnades were ere&ed by voluntary fubfcription in 1693, to which in 1732 the governors added a mag¬ nificent building, confifting of feveral wards with pro¬ per offices. The annual diftmrfements of this hofpital have for many years amounted to 8000I. I he houfe Is divided into 19 wards, and is faid to contain 474 beds. Adjoining to St Thomas’s Hands Guy's Hofpital, per¬ haps the moft extenfive charitable foundation that ever was eftablifhed by one man in private life. The found¬ er of this hofpital was Thomas Guy, a bookfeller in Lombard-ftreet, London, who lived to fee the edifice roofed in ; and at his death, in 17245 238,292k 16s. including the expence of the building, to finilh and endow it. This hofpital confifts of two capacious fquares, containing 12 wards and 435 beds. It W'as incorporated by charter from parliament, and the firft governors were appointed in 1725' In St George’s Fields, weftw-ard of the King’s Bench prifon, is the Magdalen Hofpital for the reception of penitent proftitutes; a little farther is fituated the Afy- lum for orphan girls ; and not far diftant is the Weft- minfter Lying-in Hofpital: Inftitutions, of which the following feeling and animated account is given by Mr Pennant. “ The Afylum is an inftitution of a moft heavenly nature, calculated to fave from perdition of foul and body the brighter part of the creation ; fuch on whom Providence hath beftowed angelic faces and elegant forms, defigned as bleffings to mankind, but too often 104 Guy’s Hof¬ pital. i°5 The Aly- lum. 3 ] LON debafed to the vileft ufes. The hazard that thefe inno-, Lon^on- , cents conftantly are liable to from a thoufand tempta¬ tions, from poverty, from death of parents, froip the diabolical procurefs, and often from the itupendous wickednefs of parents themfelves, who have been known to fell their beauteous girls for the purpofe of proftitu- tion, induced a worthy band to found in the year 1758 the Afylum, or Houfe of Refuge. Long may it flourilh, and eternal be the reward of thofe into whofe minds fo amiable a conception entered ! io^ “ To afford means of falvation to thofe unhappy Xhe Mag- beings who had the ill fortune to lofe the benefits ofdalenHof- this divine inftitution, the Magdalen Hofpital was infti-P’tA tuted for the reception of the penitent proftitutes. T.0 fave from vice, is one great merit, lo reclaim and re- ftore to the dignity of honeft rank in life, is certainly not lefs meritorious. The joy at the return of one fin- ner to repentance is efteemed by the higheft authority worthy of the heavenly hoft. "1 hat ecftafy, I truft, this inftitution has often occafioned. Since its foundation in the fame year with the former, to December 25. 17^^ not fewer than 2471 have been admitted. Of thefe (it is not to be wondered that long and evil habits are often incurable) 300 have been difcharged, uneafy under con- ftraint; 45 proved lunatics, and afflidted with incurable fits ; 60 have died ; 52 never returned from hofpitals they were fent to ; 33^ difcharged for faults and irre¬ gularities. How to be dreaded is the entrance into the bounds of vice, fince the retreat from its paths is fo difficult! Finally, 1608 prodigals have been returned to their rejoicing parents; or placed in reputable fer- vices, or to honeft trades, banes to idlenefs, and fecuri- ties againft a future relapfe.” Into this charity, every w'oman who has been feduced (and is not pregnant or difeafed), whether recommended or not, may apply for admiffion to the committee, who meet for that purpofe on the firft Tuefday in every month. 107 Akin to thofe charities is that of the Lying-in Hofpi- Lying-ia tal, which is not intended merely for the reception ofHofPlu!’ “ the honeft matron who can depofite her burden with the confcioufnefs of lawful love, but alfo for the un¬ happy wretches whom fome villain in the unguarded moment has feduced, and then left a prey to defertion of friends, to poverty, want, and guilt.—Left fuch « may be driven to defpair by fuch complicated mifer^r, and be tempted to deftroy themfelves and murder their infants,’ here was founded in 1765 this humane preven¬ tive, the Weftminfter New Lying-in Hofpital, in which every affiftance and accommodation requifite in fuch li- tuations are provided in the moft attentive and liberal manner. To obviate all objeftion to its being an en¬ couragement to vice, no one is taken in a fecond time: but this moft excellent charity is open to the worthy diftreffed matron as often as neceffity requires. None are rejetted who have friends to recommend. And of both defcriptions upwards of 4000 have experienced its falutary effett.” _ I0g St George’s Fields are now almoft covered with newStGeorge> eretted buildings, from the ditch at the end of Great Fields. Surry-ftreet, or Burrow'’s Buildings, to the Fifhmong- ers alms-houfes, in one direttion ; and from the Mar- Ihalfea prifon to the Dog and Duck, in the other direc¬ tion ; with feveral irregular indentations in its circumfe¬ rence : And where the principal roads meet, an obelilk has been eretted, pointing out the diftance it ftands C. f' o from LON [ 204 3 LON icp Lambeth Palace, London, from different parts of London, Weftminffer, and Black- friars bridges. Among the buildings which ferve to embellilh and improve this entrance to London, Cha- tham-fquare and Bridgeftreet-Blackfriars may be par¬ ticularly fpecified. At Lambeth, the archbifhops of Canterbury have had a palace. According to Mr Pennant, it was in the earlier times a manor, poffibly a royal one : for the great Hardiknut died here in 1042, in themidft of the jollity of a wedding dinner j and here, without any for¬ mality, the ufurper Harold is faid to havefnatched the crown and placed it on his own head. At that period it was part of the eftate of Goda, wife to Walter earl of Mantes, and Euftace earl of Boulogne ; who pre- fented it to the church of Rochefter, but referved to herfelf the patronage of the church. It became in iiqy the property of the fee of Canterbury, by ex¬ change tranfafted between Glativille bilhop of Rc-chef- ter and the archbilhop Hubert Walter. The building was improved by Langton the fucceffor of Walter j but it was afterwards neglefled and became ruinous. “ No pious zeal (fays Mr Pennant) reftored the place, but the madnefs of prieftly pride. Boniface, a wrathful and turbulent primate, eledled in 1244, took it into his head to become a vifitor of the priory of St Bartholo¬ mew, to which he had no right. The monks met him with reverential refpedl, but allured him the office did hot belong to the biffiop. The meek prelate ruffied on the fub-prior, knocked him down, kicked, beat, and buffeted him, tore the cope off his back, and ftamped on it like one poffeffed, w’hile his attendants paid the fame compliments to all the poor monks. The people enraged at his unprieftly conduft would have torn him to pieces ; when he retired to Lambeth, and, by way of expiation, rebuilt it with great magnificence. At a fubfequent period it w^as very highly improved by the munificent Henry Chichely, who enjoyed the primacy from 1414 to 1443. I lament to find fo worthy a man to have been the founder of a building fo reproachful to his memory as the Lollards tower, at the expence of near 280I. Neither Proteftants or Catholics ffiould omit vifiting this towrer, the cruel prifon of the unhappy followers of Wickliffe. The vaft ftaples and rings to which they were chained before they were brought to the flake, ought to make Proteflants blefs the hour which freed them from fo bloody a religion.” During London, the civil wars of the laft century, this palace fuffered o' greatly j but at the Reftoration, the whole was repaired by Archbilhop Juxton. iI0 The parilh church of Lambeth (h), w hich is at a and Church, fmall diftance from the palace, has a plain tower j and the architecture is of the Gothic of the time of Ed¬ ward IV. It has very little remarkable in it, except the figure of a pedlar and his dog, painted in one of the windows ; and tradition fays, that the parilh was obliged to this man for the bequeft of a piece of land, which bears the name of the Pedlar's Acre. In the churchyard is the tomb of old Tradefcant. Both father and fon were great travellers j and the former is fuppo- fed to have vifited Ruffia and moft parts of Europe, Turkey, Greece, many of the eaftern countries, Egypt, and Barbary ; out of which he introduced multitudes of plants and flowers, unknown before in our gardens. The monument is an altar tomb ; embellilhed with em¬ blematical fculptures; and bearing the following in- fcription, which is both lingular and hiftorical : Know, ftranger, ere thou pafs, beneath this flone Lye John Tradefcant, grandfire, father, fon $ The lafl dy’d in his fpring ; the other two Liv’d till they had travell’d Art and Nature through, As by their choice collections may appear, Of what is rare, in land, in fea, in air $ Whilft they (as Homer’s Iliad in a nut) A world of wonders in one clofet Ihut: Thefe famous Antiquarians, that had been Both gardeners to the Rofe and Lily Queen, Tranfplanted now themfelves, fleep here j and when Angels {hall with their trumpets waken men, And fire lhall purge the world, thefe hence lhall rife, And change this garden for a paradife. From Lambeth, eaftward along the river fide, Lambeth was once a long trad of dreary marlh, and ftillMarfh. in parts called Lambeth Marjh; about the year 1560, there w as not a houfe on it from Lambeth pa¬ lace as far as Southwark. In a ftreet called Aar-Great ma. row-wall (from one of the ancient embankments) ismifaCtories. Mrs Conde’s noted manufactory of artificial ftone (1) : And at a fmall diftance, Meff. Beaufoy’s (k) great work (h) In defcribing this church, Mr Pennant takes occafion to mention the fad example of fallen majefty in the perfm of Mary d’Efte, the unhappy queen of James II. *, who, flying with her infant prince from the ruin im¬ pending over their houfe, after croffing the Thames from the abdicated Whitehall, took ffielter beneath the an¬ cient walls of this church a whole hour, from the rain of the inclement night of December 6. 1688. Here Ihe -(tyaited with aggravated mifery, till a common coach, procured from the next inn, arrived, and conveyed her to Gravefend, from whence Ihe failed, and bade an, eternal adieu to thefe kingdoms. (1) Her repofitory confifts of feveral very large rooms filled with every ornament, which can be ufed in architecture. The ftatue, the vafe, the urn, the rich chimney pieces, and in a few words, every thing which could be produced out of natural ftone or marble by the moft elegant chifel, is here to be obtained at an eafy rate. (k) “ Where (fays Mr Pennant) the foreign wines are moft admirably mimicked. Such is the prodigality and luxury of the age, that the demand for many forts exceeds in a great degree the produce of the native vine¬ yards. We have Ikilful fabricators, who kindly fupply our wants. It has been eftimated, that half of the port, and five-fixths of the white wines confumed in our capital, have been the produce of our home wine preffes. The produCl of duty to the ftate from a fingle houfe was in onh year, from July 5> 1785 to July f. 1786, not lefs than 7363I. 9s. 8^d. The genial banks of the Thames oppofite to our capital, yield almolt every fpecies of white wine } and, by a wondrous magic. Meff. Beaufoy pour forth the materials for the rich Frontiniac, LON [ 2°5 1 LON London. 113 ^ 3. City and Liberties of Weftmin- fter. 114 Govern¬ ment of Weftrnin- fier. ■wotk for making wines, and that for making vine¬ gar (l). This ground, fo profitable to the proprietors, and fo productive of revenue to the ftate, was within me¬ mory the fcene of low difiipation. Here Hood Cuper’s garden, noted for its fireworks, and the great refort of the profligate of both fexes. This place was ornament¬ ed with feveral of the mutilated ftatues belonging to Thomas earl of Arundel, which had been for that pur- pofe begged from his lordlhip by one Boyder Cuper, a gardener in the family. The great timber yards be¬ neath which thefe antiquities were found, are very well worthy of a vifit. One would fear that the forefts of Norway and the Baltic Would be exhaufted, to fupply the wants' of our overgrown capital, were we not aflfured that the refources will fucceflively be increafed equal to the demand of fuccefeding ages.— In this parifh are alfo vail diftilleries, formerly the property of Sir Jofeph Mawbey ; where are feldom lefs than 2000 bogs, which are fed entirely on grains. III. City and Liberties of WESTMINSTER. The city of Weftminfter derives its name from a minfler, or ab¬ bey, and xvefl, on account of its fituation with refpe£t to St Paul’s cathedral, which was formerly called Kqfl- tninfer. In ancient times this diftriCt flood upwards of a mile from the city of London, and contained only two pariihes, which were thofe of St Margaret and St John, with two chapels of eafe j but at prefent it has Jeven other parochial churches, viz. St Clement’s Danes, St Paul’s Govent-garden, St Mary’s le Strand, St Martin’s in the Fields, St Anne’s, St James’s, and St George’s Hanover-fquare. Weltminfter was anciently called Thorny IJland, from its having been covered with thorn bufhes, and encom- paffed by a branch of the Thames, which is faid to have run through the ground now called St James'‘s Park, from weft to eaft, and to have rejoined the river at Whitehall. Till the general diflblution of religious houfes, Weft¬ minfter was fubjeCl to the arbitrary rule of its abbot and monks j but in 1541, upon the furrender of Wil¬ liam Benfon the laft abbot, Henry VIII. not only turned it into an honour, but created it the fee of a bifnop, and appointed for a diocefe the whole coun¬ ty of Middlefex, except Fulham, which belonged to the hifhop of London. This bifhoprick, how¬ ever, foon after its inftitution, was diffolved by Ed¬ ward VI. The city of Weftminfter is governed by a high fteward, an office of great dignity, who is ufually one London, of the firft peers in the realm ; and is chofen for life ^ by the dean and chapter of the collegiate church of St Peter. There is alfo a deputy fteward and a high bailiff, who alfo hold their offices for life j being no¬ minated by the dean and chapter, and confirmed by the high fteward. The dean and chapter are invefted with an ecclefiaf- tical and civil jurifdiftion within the liberties of Weft¬ minfter, St Martin’s le Grand, near Cheapfide, in the city of London, and fome towns in Effex, which are exempted from the jurifdiftion of the bilhop of London and the archbiftiop of Canterbury. St Margaret's Church was founded by Edward the Churches. Confeffor, fince which time it has been frequently re¬ built. In the eaft end of this church is a window cu- rioufly painted, with the hiftory of the crucifixion, and with the figures of feveral apoftles and faints finely executed. It formerly belonged to a private chapel at Copt-hall, near Epping in Effex, and was purchafed by the officers of this pariffi, fome years ago for 400 guineas. In this church the houfe of commons attends divine fervice on ftate holidays. The church of St John the Evangeliji was erefted in 1728, and having funk confiderably whilft it was build¬ ing, occafioned an alteration of the plan. On the north and fouth fides are magnificent porticoes, fupported by vaft ftone pillars, as is alfo the roof of the church ; at each of the four corners is a beautiful ftone tower and pinnacle, which were added with the view of making the whole ftru&ure fink equally. The parts of this building are held together by iron bars, which run acrofs even the aifles. Jl6- The moft remarkable ftru&ure in Weftminfter is the Weftmin- abbey-church of St Peter. On its fite flood once a fter Abbey, temple of Apollo, which according to tradition wasits thrown down by an earthquake in the time of Antoni-C*^aPel* nus Pius ; and from the ruins of which Sebert king of the Weft Saxons raifed a Chriftian church, which was ruined by the Danes. It was repaired by Edward the Confeffor, and given to a few monks 5 and this fpot he chofe for his burial-place. Henry HI. 160 years after, took down this fabric of Edward’s, and erected a new church, which was 50 years in building. It fuffered much by fire in 1274, but was repaired by Edward I. Edward II. and the abbots. In 1700 this church being much decayed, the parliament granted money for re¬ pairing it, and has frequently repeated the bounty fince that time. The form of the abbey is that of a long crofs ; Frontiniac, to the more elegant tables $ the Madeira, the Calcavella, and the Lifbon, into every part of the kingdom.” (l) “ There is a magnificence of bufinefs (our author remarks) in this ocean of fweets and fours that cannot fail exciting the greateft admiration •, whether we confider the number of veff ls or their fize. The boafted tun at Heidelberg does not furpafs them. On fir ft entering the yard, two rife before you, covered at the top with a thatched dome; between them is a circular turret, including a winding ftaircafe, which brings you to their fum- mits, which are above 24 feet in diameter. One of thefe confervatories is fud of fweet wine, and contains 58,109 gallons, or 18x5 barrels of Winchefter meafure. Its fuperb affociate is full of vinegar, to the amount of 56,799 gallons, or 1774 barrels of the fame ftandard as the former. The famous German veffel yields even to the laft by the quantity of 40 barrels.—-Befides thefe, is an avenue of leffer veffels, which hold from 32,500 to 16,974 gaP°ns each. After quitting this Brobdignagian fcene, we pafs to the acres covered with common bar¬ rels : we cannot diminifti our ideas fo fuddenly, but at firft we imagine we could quaff them off as eafily as Gulli ¬ ver did the little hogffieads of the kingdom of Lilliput.” LON [ London, erofs: its greateft length is 489 feet, and the breadth of the weft front 66 feet; the length of the crofs aifle is 189 feet, and the height of the roof 92 feet. At the weft end are two towers: the nave and crofs aifle are fupported by 50 flender pillars of Suflex marble ex- clufive of pilafters. In the upper and lower ranges there are 94 windows, all which, with the arches, roofs, and doors, are in the Gothic tafte. The infide of this church is much better executed than the outfide : and the perfpedfive is good j particularly that of the grand aifle. The choir, from which there is an afcent by fe- veral fteps to a fine altar-piece, is paved with black and . white marble ^ having 28 ftalls on the north, the fame number on the fouth, and eight at the weft end. The altar is made of a beautiful piece of marble, the gift of Queen Anne, enclofed by a curious baluftrade, and upon a pavement of porphyry, jafper, Lydian, and ferpentine ftones, laid in the mofaic ftyle, at the ex¬ pence of Abbot Ware, A. D. 1272; and is faid to be one of the moft beautiful of its kind in the world. On each fide of this altar a door opens into St Ed¬ ward’s chapel; round which are 10 other chapels, ranging from the north to the fouth crofs aifles, and are dedicated, 1. To St Andrew. 2. To St Michael. 3. To St John Evangelift. 4. Hip’s chapel. 5. To St John Baptift. 6. To St Paul. 7. Henry V.’s cha¬ pel. 8. To St Nicholas. 9. To St Edmund. 10. To St Benedift. In St Edward’s chapel are ftill to be feen the remains of his ftirine ; which, though now' in obfcurity, and robbed of all its riches and luftre, was once efteemed the glory of England, fo far as art and riches could make it. Here are the tombs of King Edward I. and feveral other kings and queens of England j and here alfo is Ihown the famous chair in which the kings of Scotland ufed to be crowmed at Scone. Henry V.’s chapel is divided from St Edward’s by an iron fcreen, on each fide of which are ftatues as big as life.—St Andrew’s chapel, which is next the north crofs, and the others rvhich furround the choir, are crowded with the monuments of noble perfonages, worthy the atten¬ tion of the curious.—At the corner of St Benedift’s chapel, an iron gate opens into the fouth crofs aifle $ which from the number of monuments erefted therein to celebrated Englith poets, has obtained the name of the Poets corner : though here we find a meft magnifi¬ cent monument e.re&ed at the fouth end in memory of the late John duke of Argyle and Greenwich j another to William Camden the antiquarian ; and others to the celebrated divine Dr Ifaac Barrow, to Thomas Parr who died at the age of 152 years, &c.—The fouth aifle is adorned with 19 curious monuments of the pious, the brave, and the learned ; and turning north¬ ward from the weft door, we view' a great number 206 ] LON and of fuch curious workmanfhip, that it would take a volume to defcribe each part with juftice and pro- London. 117 Henry VIl.’s cha- j»el. On the eaft of the abbey, and which, though fepa- rate from the other chapels in the choir, feems to be one and the fame building w ith the abbey, Hands the chapel of King Henry VII. which that king founded in the year 1502, and was at that time ftyled the won¬ der of the world, and is now one of the moft expenfive remains of the ancient Englifh tafte and magnificence. There is no looking upon it without admiration : it conveys an idea of the fine tafte of Gothic architec¬ ture in that age j and the infide is fo noble, majeftic, pnety. Its original intention was to be a dormitory for the royal blood : and fo far the will of the founder has been obferved, that none have been interred therein but fuch as have traced their defeent from ancient kings. The tomb of King Henry VII. is moft magni¬ ficent, enclofed with a fcreen of call brafs, moft admi» rably defigned, and as well excuted. Within the rails are the figures of that king and his royal confort, in their robes of ftate, on a tomb of black marble : and at the head of this tomb lie the remains of Edward VI. In different parts of this chapel are the monuments of Lewis Stuart duke of Richmond, George \ illars duke of Buckingham, John Sheffield duke of Buckingham, Charles Montague marquis of Halifax, Edw ard V. and his brother Richard ; the vault of James I. and his queen Anne and daughter Mary, on which is a fmall tomb adorned with the figure of a child ; a lofty mo¬ nument of Oueen Elizabeth, and another of Mary queen of Scots j the monuments fer Margaret Douglas daughter of Margaret queen of Scots, Margaret coun- tefs of Richmond mother to Henry VII. the vault of King Charles II. and William III. Oueen Mary his confort, Queen Anne, and Prince George. Overthefe royal perfonages are their effigies (except that of Prince George) in wainfeot preffes, made of wax to refemble life, and dreffed in their coronation robes. And at the corner of the great eaft window, in another wainfeot prefs, Hands the effigy of Mary duchefs of Richmond, daughter to James duke of Richmond and Lenox, dreffed in the very robes ffie wore at the coro¬ nation of Queen Anne. On leaving the aifle, you are Ihown another prefs, containing the effigy of General Monk, who, on account of his loyalty, and the part he took in the reftoration of King Charles II. had a vault appropriated to him and his family amongft the royal blood. In a fine vault under Henry the VII.’s chapel, is the burying place of the prefent royal family, erefted by bis late majefty King George II. Adjoining to the abbey are the cloifters, built in a quadrangular form, with piazzas towards the court, where feveral of the prebendaries have their houfes. Near the abbey church is the King’s fchool, ufually Wcftmin- J called Wejlminjler fchool. It was originally founded in ftt r c 00 1070, and a fecond time by Queen Elizabeth in 1560, whence it is fometimes called the Queen’s College; and is at prefent one of the greateft fchools in the king¬ dom. The learned antiquary Mr Camden was once matter of it, and Ben Johnfon one of his fcholars. Dr Bulhy, who was mafter upwards of 50 years, gfeatly contributed to keep up its reputation, formed its mufeum, and improved both the matter’s and his prebendal houfe.—This fchool, inftead of one mafter and one uftier as at firft, has now an upper and under mafter, and five ufhers, who have about 400 youths under their tuition. A plan was fet on foot when the prefent archbilhop of York was mafter, for building a college for the ufe of the ftudents, but this did not fuceeed. _ 119 On the north-eaft fide of the abbey is an old Go- Wefttiwi-J thic building called Wefminfer-hall, firft built by Wil- fter-hall. liam Rufus as an addition to a royal palace, and after¬ wards 118 LON [ 207 ] LON London. 120 oufe of jinmons. ill oufe of ords. 121 Vince’s Chamber, kc. wards rebuilt by Richard II. in the year 1397. It is reckoned one of the largelt rooms in Europe, being 200 feet long, 70 broad, and 90 high, fupported only by buttreffeS. The roof is of timber, and was fome years ago Hated, the old covering of lead being reckoned too heavy. It is paved with ftone. In this fpacious room the kings of England have generally held their coronation and other folemn feafts 5 and it is ufed for the trial of peers. Since the reign of Henry III. the three great courts of Chancery, King’s Bench, and Common Pleas, have been held in feparate apartments of this hall j and the court of Exchequer above Hairs. Adjoining to the fouth-eaft angle of Weftminfter- hall is a building formerly called S/ Stephen's Chape/t from its having been dedicated to that faint. It was founded by King Stephen j and in 1347 was rebuilt by King Edward III. who converted it to a collegiate church ; but fince it was furrendered to Edward VL it has been ufed for the affembly of the reprefentatives of the commons of England, and is now generally called the Houfe of Commons. The benches, which afeend behind one another as in .a theatre, are covered with green cloth j the floor is matted j and round the room are wainfeot galleries, fupported by cantilevers adorned with carved work, in which ftrangers are often permitted to lit and hear the debates. On the fouth fide of the hall is the Houfe of Lordsy fo called from being the place where the peers of Great Britain affemble in parliament. It is an oblong room, not quite fo large as the houfe of commons j and is hung with fine old tapeftry, reprefenting the defeat of the Spaniih Armada in 1588. The defign was drawn by Cornelius Vroom, and the tapeftry exe¬ cuted by Francis Spiering. It was not put up till the year 1650, two years after the extinction of mo¬ narchy, when the houfe of lords was ufed as a com¬ mittee room for the houfe of commons. T he heads of the naval heroes who commanded on the glorious day form a matchlefs border round the work, animat¬ ing pofterity to emulate their illuftrious example. Here is a throne for the king, with feats on the right and left for fuch peers of the realm as are of the blood royal. Before the throne are three broad feats j on the firft of which, next the throne, fits the lord chancellor, or keeper of the great feal, who is fpeaker of the houfe of peers ; and on the other two fit the judges, the mafter of the rolls, or the mafters in chan¬ cery, who attend occafionally to give their opinions on points of law. The two archbilhops fit at fome di- Itance from the throne on the right hand, and the other bilhops in a row under them. All the benches are covered with red cloth fluffed with wool. Here likewife, by an order of the houfe, a gallery for ftran¬ gers has been eredted. Adjoining to the houfe of lords is the 'Prince's Chamber, where the king is robed when he comes to the parliament. On the other fide is the Painted Chamber, which is faid to have been Edward the Con- feffor’s bedchamber, and the room in which the par¬ liaments were anciently opened. Here conferences are often held between the two houfes, or their com¬ mittees. Contiguous to thofe is an apartment called the Court of Requefs, where fuch as have bufinefs in ei¬ ther houfe may attend. London. Near thefe buildings is a bridge over the Thames, called \VeJlminfier Bridge, accounted one of the moft ^ complete and elegant ftrudlures of the kind in the Weftmin- known world. It is built entirely of ftone, and ex- fter Bridge tends over the river at a place where it is 1223 feet broad : which is above 380 feet broader than at Lon¬ don bridge. On each fide is a fine baluftrade of ftone, with places of Ihelter from the rain. The width of the bridge is 44 feet, having on each fide a fine foot way for paffengers. It confifts of 14 piers, and 13 large and two ftnall arches, all femicircular, that in the centre being 76 feet wide, and the reft decreaf- ing four feet each from the other, fo that the two leaft arches of the 13 great ones are each 52 feet.. It is computed that the value of 40,000!. in ftone and other materials is always under water. This magnificent ftru&ure was begun in 1739, and finiftied in 1750, at the expence of 389,000). defrayed by the parliament. It was built after the defign of M. Labelye, an ingenious architect, a native of France. 124 On the bank of the Thames, at the eaft confines of Whitehall. St Margaret’s parifli, was a palace called Whitehall, originally built by Hubert de Burgh earl of Kent, be¬ fore the middle of the 13th century. It afterwards devolved to the archbilhop of York, whence it receiv¬ ed the name of York Place, and continued to be the city refidence of the archbiftiops till it was purchafed by Henry VIII. of Cardinal Wolfey in 1530. At this period it became the refidence of the court ; but in 1697 was deftroyed by accidental fire, all except the Banqueting-houfe, which had been added to the palace of Whitehall by James I. according to a defign of Inigo Jones. This is an elegant and magnificent ftrufture of hewn ftone, adorned with an upper and. lower range of pillars, of the Ionic and Compofite or¬ ders y the capitals are enriched with fruit and foliages, and between the columns of the windows. The roof is covered with lead, and furrounded with a balmirade. The building chiefly confifts of one room of an oblong form 40 feet high, and a proportionable length and breadth. The cieling is painted by the celebrated Sir Peter Paul Rubens. It is now ufed only as a chapel- royal, and the other part of the houfe is occupied with ftate offices. r2- Oppofite to the Banqueting-houfe Hands the Hor/^Horft Guards, fo called from being the ftation where that Guards'. part of his majefty’s troops ufually do duty. It is a ftrong building, of hewn ftone, confifting of a centre and two wings. In the former is an arched pafiage into St James’s Park ; and over it, in the middle, riles a cupola. In a part of the building is the War Office. Near the Horfe-guards-is the Treafury; a large build¬ ing, which fronts the Parade in St James’s Park ; and where the board of treafury is kept. Eaftward of the Horfe-guards is the Admiralty Office, Admiralty a large pile, built with brick and ftone. The front Office, towards Whitehall has two deep wings, and a lofty portico fupported by four large ftone pillars. A piazza, confifting of beautiful columns, runs almoft from one end to the other. The wall before the court has been lately built in an elegant manner, and each fide of the gate is ornamented with naval emblems. Befides a hall, and other public apartments, here are fpacious houfes for feven commiffioners of the admiralty. At a little diftance from the Admiralty, where three 3 capital LON [ 208 ] LON 128 Queen’s Palace. 129 St James’s. L melon, capital ftreets terminate, is a large opening called Charing-crofs, from one of the croffes which King Ed¬ ward I. caufed to be erefted in memory of his queen Eleanor, and Charing the name of a village in which it was built. The crofs remained till the civil wars in the reign of Charles I. when it was deftroyed by the fanatics, as a monument of popifh fuperftition 5 but after the Reftoration, an equeltrian ftatue of Charles I. was fet up in its dead. This, which is of brafs, and finely executed, continues to be an ornament to the place. It was made in 1633, at ^ie exPence °f the Howard-Arundel family. The parliament fold it to a brazier in Holborn, with drift orders to break it to pieces; but he concealed it under ground till the Re- doration, when it was fet up in 1678. At the wed end of the Mall, in St James’s park, which begins near Charing-crofs, dands the Queen's Palace. It was originally known by the name of Ar¬ lington Houfe; but being purchafed by the late duke of Buckingham’s father, who rebuilt it from the ground in Jt 703, it was called Buckingham Houfe, till the year 1762, when it w'as purchafed by his majedy for a royal refidence. It is built of brick and done, having in the front tv’o ranges of piladers of the Corinthian and Tufcan orders. It has a fpacious court yard, en- clofed with iron rails, fronting St James’s park, with offices on each fide, with two pavilions, feparated from the manfion houfe by colonnades of the Tufcan, Do¬ ric, and Ionic orders. His majedy has here built a fine library, in an oftagonal form, befides feveral other additions. Eadward of the queen’s palace dands St James's, an old building, which, till the former was purchafed by the crown, had been the town refidence of the royal family fince the burning of Whitehall in 1697. This palace was built by Henry VIII. and obtained its name from an hofpital which formerly dood on the fpot. It is an irregular building, of a mean appearance without, but contains feveral magnificent apartments. Here the court and levees are dill kept, and mod of the perfons belonging to the houfehold have their re¬ fidence. The chapel of the hofpital was converted to the ufe of the royal family, as it now remains, and is a royal peculiar, exempted from all epifcopal jurifdic- tijon. When this palace was built, it abutted in the fouth-wed upon an uncultivated fwampy traft of ground, which the king enclofed and converted into a park, called from the palace St James's park. He alfo laid it out into walks, and collefted the water into one body. It was afterwards much enlarged and im¬ proved by King Charles II. who planted it with lime trees, and formed a beautiful vida, near half a mile in length, called the Mall, from its being adapted to a play at bowls didinguilhed by that name. He alfo formed the water into a canal 100 feet broad and 2800 feet long; and furnidied the park with a decoy, and other ponds for water-fowl ; but thefe have lately been dedroyed, on account of the unwholefomevapours which they excited. In a line with St James’s palace, on the ead fide, is Marlborough-houfe, which belongs to the duke of Marlborough, and is a large brick edifice, ornamented 131 with done. The btrand, Eadward from Charing-crofs, runs that fine dreet fonned*1^ the S/rdw*/, which terminates at Temple-bar. In the 130 The Park and Mall. year 1353 the whole of it was an open high way, with London gardens to the water fide. In that year it was fo ”~-y—-j ruinous, that Edward III. by an ordinance direfted a tax to be railed upon wool, leather, wine, and goods carried to the daple at Wedminder, from Temple-bar to Wedminder abbey, for the repair of the road j and that all owners of houfes adjacent to the high way (hould repair as much as lay before their doors. Before the above period, it entirely cut off Wedmin¬ der from London; nothing intervened except the fcattered houfes, and a village which afterwards gave name to the whole *, and St Martin’s dood literally in the fields. But about the year 1560 a dreet was form¬ ed, loofely built 5 for all the houfes on the fouth fide had great gardens to the river, w-ere called by their owmers names, and in after-times gave name to the feveral dreets that fucceeded them, pointing down to the Thames; each of them had dairs for the con- veniency of taking boat, of which many to this day bear the names of the houfes. As the court was for centuries either at the palace of Wedminder or White¬ hall, a boat w'as the cudomary conveyance of the great to the prefence of their fovereign. The north fide was a mere line of houfes from Charing-crofs to Temple-bar; all beyond was country. The gardens which occupied part of the fite of Covent-Garden were bounded by fields, and St Giles’s was a didant country village. Our capital found itfelf fo fecure in the vigo¬ rous government of Queen Elizabeth, that, by the year 1600, mod confiderable additions were made to the north of the long line of dreet jud deferibed. St Martin’s-lane was built on both fides. St Giles’s church was dill infulated: but Broad-dreet and Hol¬ born were completely formed into dreets with houfes all the way to Snow-hill. Covent-gardeu and Lin- coln’s-inn-fields were built, but in an irregular manner. Drury-lane, Clare-dreet, and Long-acre, arofe in the fame period. Almod contiguous to Charing-crofs, and upon the Northunr fouth fide of the Strand, is that noble palace calledberland Northumberland Houfe, which dands on the fite of Houfe. the hofpital of St Mary Rounceval. Henry VIII. granted it to Sir Thomas Caverden. It was after¬ wards transferred to Henry Howard earl of Northamp¬ ton ; who, in the time of James I. built here a houfe, and called it after his own name. He left it to his kinfman the earl of Suffolk, lord treafurer : and by the marriage of Algernon Percy earl of Northumber¬ land, with Elizabeth daughter of Theophilus earl of Suffolk, it paffed into the houfe of the prefent noble owner. The greater part of the houfe was built by Bernard Janfen, an architeft in the reign of James I. The front next the dreet was begun by Algernon in 1748, and finidied by the prefent duke, who married his daughter. Two additional wings to the front next the Thames, and a variety of other improvements both in building and furniture, have contributed to render this houie the larged and mod magnificent in London. It contains a gallery of icbfeet long by 26 wide, mod fuperbly furnidied. ? A Ihort way eadu'ard, on the fame fide, dood Z)«r-Durbata ham Yard, which took its name from a palace built ori-Yard, ginally by the illudrious Thomas de Hatfield, elefted bidrop of Durham in 1345; defigned by him for the tovm refidence of him and his fucceflors. At this place, in London. 134 The Adel- phi. US The Savoy. 136 Somerfet Houfe. LON [ 209 j I, O N in 1540, was held a moft magnificent feaft, given by the challengers of England, who had caufed to be proclaimed, in France, Flanders, Scotland, and Spain, a great and triumphant jufting to be holden at Weft- miniter, for all comers that would undertake them. But both the challengers and defendants were Eng- lifh. After the gallant fports of each day, the chal¬ lengers rode into this Durham-houfe where they kept open houfehold, and fealted the king and queen (Anne of Cleves) with her ladies, and all the court. In the reign of Edw’ard VI. the Mint was eftablilhed in this houfe, under the management of Sir William Shar- rington, and the influence of the afpiring Thomas Seymour, lord admiral. Duvham-houfe was reckon¬ ed one of the royal palaces belonging to Queen Eliza¬ beth ; who gave the ufe of it to the great Sir Walter Raleigh. Durham yard is now filled with a moft magnificent mafs of building, called the Adelphi, in honour of two brothers, the ingenious Adams, its architefls. Be- fides its fine lodgings, it is celebrated for its enchant¬ ing profpedl, the utility of its wharfs, and its fubter- raneous apartments anfwering a variety of purpofes of general benefit. Farther on ftand the ruins of the Savoy. Henry III. had granted to Peter of Savoy, uncle to his queen Eleanor, daughter of Berringer of Provence, all the houfes upon the Thames where this building now ftands, to hold to him and his heirs, yielding yearly at the Exchequer three barbed arrows for all fervices. This prince founded the Savoy, and beftowed it on the foreign hofpital of Montjoy. Queen Eleanor pur- chafed it, and beftowed it on her fon Edmund earl of Laneafter. It was rebuilt in a moft magnificent manner by his fon Henry. It was made the place of confinement of John king of France in 1356, after he was taken prifoner at the battle of Poitiers. In 1381 it was entirely deftroyed by Wat Tyler, out of fpleen to the great owner John of Gaunt. Henry VII. began to rebuild it, with a defign of forming it into an hofpital for a hundred diftreffed people, and Hen¬ ry VIII. completed the defign. The revenues, at the fuppreflion by Edward VI. amounted to above jool* a-year. Queen Mary reftored it ; and her maids of honour, with exemplary piety, furnilhed it with all ne- celfaries. It was again fupprefled by Queen Elizabeth j and at prefent part ferves as lodgings for private people, for barracks, and a fcandalous infeblious prifon for the foldiery and for tranfport-convi&s. A little to the eaitward flood Somerfet-Houfe, a pa¬ lace built by Somerfet the proteftor in the time of Edward VI. $ and to make way for which he demo- lifhed a great number of buildings without making any recompenfe to the owners. Part of the church of St John of Jerufalem and the Tower were blown up for the fake of the materials j and the cloifters on the north fide of St Paul’s, with the charnel houfe and chapel, underwent the fame fate •, the tombs being deftroyed, and the bones thrown into Finfbury-fields. I his hap¬ pened in 1 549 J but it is probable that he did not live to inhabit the palace he built, as he was executed in the year 1552. After his death the palace fell to the crown \ and it became an occafional place of refidence, firft to Queen Elizabeth, and aftenvards to Catherine .queen to King Charles II. It was built in a ftyle of Vol, XII. Part I, London. architecture compounded of the Grecian and Gothic ; and the back, front, and water-gate, were done from '—■"“v—- a defign of Inigo Jones, about the year 1623. A chapel was begun the fame year by that architect, and fmiflied fome time after. The whole of this ftrufture was deiuolilhed in 1775, in confequence of an a£t of parliament ; and a moft magnificent edifice, from a defign ,by Sir William Chambers, has been erected for the accommodation of all the public offices,—thofe of the Treafury, the Secretary of State, the Admi¬ ralty, the War, and the Excife, excepted. The Royal Society, and the Society of Antiquarians, hold their meetings here, in apartments which have been alletted to them by royal munificence j and here alfo are annually exhibited the works of the Britilh painters and fculptors. The terrace on the fouth fide is a walk bounded by the Thames, and unparalleled for grandeur and beauty of view. The church of St Martin is diftinguilhed by thest Martin's name of St Martin‘>s w the Fields, from its fituation, and other which was formerly a field, with only a few fcattered churches, houfes. The church being decayed, was rebuilt by Henry VIII. and again by James I. but not being large enough to accommodate the inhabitants of the parilh, it was augmented in 1607, at the charge of Prince Henry, eldeft fon of James I. and feveral of the nobility. After many expenfive reparations, howr- ever, it was entirely taken down in V]20, and a new church begun, which was finifned in 1726. 'Ihis is an elegant edifice, built of ftone. On the weft front is a noble portico of Corinthian columns, fupporting a pediment, in which are reprefented the royal arms in bas relief. The afcent to the portico is by a flight of very long fteps. The length of this church is about 140 feet, the breadth 60, and height 45. It has a fine arched roof fuftained by ftone columns of the Corin¬ thian order. The fteeple has a beautiful fpire, and one of the belt rings of bells in London. St James's Church was built in the reign of Charles II. at the expence of Henry earl of St Alban’s, and other neighbouring inhabitants. The building is of brick and ftone, about 85 feet long, 60 broad, and 45 feet high, with a handfome fteeple 150 feet in height. St George's Church, near Hanover-fquare is a beau¬ tiful ftrufture. This was one of the fifty new churches erefted within the reign ol Queen Anne, ihe ground for the edifice was given by the late Lieutenant-general Stewart, who alfo left 4000I. to the parilh, towards erefting and endowing a charity fchool j which, by additional benefaftions and fubfcriptions, is become very confiderable. The greater part of the parifh of St Paul's Covent- garden, was anciently a garden, belonging to the ab¬ bot and convent of Weftminfter, and was then called Convent garden, a name corrupted into Covent, and more generally Common garden. In 1552, Edward Vi. Covent gave it to the earl of Bedford, with an adjoining field,Gal(len- formerly called the Seven Acres, but now, being turned into a long ftreet, called Long-acre. The church of St Paul’s, Covent-garden, was built by Inigo Jones, and was efteemed one of the moft Ample and perfeft pieces of architefture in England. It was burnt by accident a few' years ago j but has fince been rebuilt in a very plain ftile. In the area before the church, of about D d three LON [ 2' London. 139 St Mary le Strand, &c. 140 Foundling and other Mofpitals *4* Oray’s Inn three acres of ground, is Covent garden market, which is the bed in England for herbs, fruit, and flowers. On the north, and part of the eaft fi.de, is a magnificent piazza, defigned by Inigo Jones. Next to the parifii of St Paul, Covent-garden, is that of St Mary le Strand. This is alfo one of the fitly new churches built in the reign of Queen Anne, and is a handfome piece of architefture, though not very extenfive. At the entrance, on the weft fide, is an afcent by a flight of fteps, hr a circular form, which leads to a fimilarly ftiaped portico of Ionic columns, covered with a dome, that is crowned with a vafe. The columns are continued along the body of the church, with pilafters of the fame order at the corners j and in the intercolumniations are niches handfomely ornamented. Over the dome is a pediment fupported by Corinthian columns, which are alfo continued round the body of the ftructure, over thofe of the Ionic order. A handfome baluftrade is carried round the top of the church, and adorned with vafes. A little eaftward from the preceding church is that of Si Clement's Danes, fituated likewife in the Strand. A church is faid to have flood in this place fince about the year 700 ; but the prefent ftruclure was begun in 1680, defigned by Sir Chriftopher Wren, It is built of ftone, with two rows of windows, the lower plain, but the upper ornamented j and the termination is by an attic, the pilafters of which are covered with vafes. On the fouth fide is a portico, covered with a dome lupported by Ionic columns •, and oppofite to this is another. The fteeple is beautiful, and of a great height. The church of St George, Bloomfhury, is alfo one of the fifty new churches erefted by aft of parliament. It is diftinguifhed from all the reft by ftanding fouth and north, and by the ftatue of King George I. at the top of its pyramidal fteeple. In Lamb’s Conduit-fields, on the north fide of the town, is a large and commodious ftrudture called the Foundling Hofpital, for the reception of expofed and ’Seferted children. This laudable charity was projeft- ed by feveral eminent merchants in the reign of Queen Anne} but was not carried into execution till many years afterwards, when a charter for its eftabliftiment was obtained, through the indefatigable afliduity of Mr Thomas Coram, the commander of a merchant veSTel, who fpent the remainder of his life in promoting this defign. From the time of its inftitution, the par¬ liament has occafionally granted confiderable iums for its fupport; and in fome years upwards of 60.00 infants have been received. Not far from hence is an Hofpital for the Smallpox ; and in different parts of the town there are others, either for the fick of all kinds, or thofe in particular circum- ftances. Of the latter are feveral Lying-in hofpitals, and the Lock Hofpital for female patients in the venereal difeafe. Of the former are St George's and Middlefex Hofpitals, befides feveral infirmaries. . Gray's Inn is one of the four principal inns of court j which, though fituated within the limits of the parifh of St Andrew, Holborn, is yet without the liberties of the city of London. It took its name from an ancient family of the name of Gray, which formerly refided here, and in the reign of Edward III. demifed it to fome ftudents in the law j but it is faid to have o ] LON been afterwards conveyed to the monks of Shene, near London. Richmond in Surry, who leafed it to the fociety of the * —1 Inn. It was held by this tenure till the diffolution of the monafteries, when Henry VIII. granted it to the fnciety in fee-farm. This inn confifts chiefly of two quadrangles, and has an old hall well built of timber, with a chapel in the Gothic ftyle. Here is alfo a good library, and the inn is accommodated with a fpacious garden. ... *4* Lincoln's Inn, another of the four principal inns of Lincoln’s court, was originally the palace of Ralph Neville biftiop Inn. of Chichefter, and chancellor of England about the vear 1.226. It afterwards devolved to the earl of Lin¬ coln, who converted it into a court for the ftudents of law about the year 1310. From him it received the name of Lincoln's Inn, and confifted only of what is now called the old fquare, which is entered from Chan¬ cery-lane. At prefent this fquare contains, befides buildings for the lawyers, a large hall where the lord chancellor hears caufes in the fittings after term. To this inn belongs likewife a fine garden, which has late¬ ly been diminiftied by the building of fome large and commodious offices, for the ufe of the fix clerks in the court of chancery, &c. _ _ 143 In the pariffi of St James, Clerkenwell, is an hofpi- Charter- tal called the Char ter-houfe, which is a corruption of Houfe. the word chartreux, a name formerly ufed for a con¬ vent or priory of the Carthufians, which this place formerly was. After the diffolution of monafteries it fell to the earl of Suffolk, who difpofed of it to Tho¬ mas Sutton, Efq. a citizen of London, in the time of King James I. for 13,000!. The purchafer intend¬ ing it for an hofpital, applied to the king for a patent, which he obtained in 1611, and the grant was con¬ firmed by parliament in 1623. Mr Sutton having ex¬ pended 7000I. in fitting up the buildings, gave it the name of King James's Hofpital, and endowed it with lands to the amount of near 4500I. a-year, for the maintenance of 80 gentlemen, merchants or fol- diers, who ffiould be reduced to indigent circumftances j and 40 boys, to be inftrufled in claffical learning. The men are provided with handfome apartments, and all the neceffaries of life except clothes *, inftead of which each of them is allowed a gown, and 7l‘ a-ycar. Of the boys, 29 are at a proper time fent to the uni- verfity, where each has an allowance of 20I. a-year for eight years. Others, who are judged more fit for trade, are put out apprentices, and the fum of 40I. is given with each of them. As a farther encouragement to the fcholars, there are nine ecclefiaftical preferments in the gift of the governors. It is alfo by the recom¬ mendation of the latter that all penfioners and youths are received into the hofpital. They confift of 16, of which number the king is always one, and the others are generally noblemen of the firft rank. To this hofpital belong a mafter, a preacher, two fchoolmafters, a phyfician, a regifter, a receiver, a trealurer, a ftew- ard, an auditor, and other officers; and the annual re¬ venues of it being now increafed to upwards of 6000L five men and four boys have been added to the original number. M4 In the parilh of St Luke ftands the Haberdafhers Afke’s alms-hdufes, or Ajle's Hofpital, fo called from having HoiPUaI’ been erefted by the company of haberdalhers, purfuant to the will of Robert Alke, Efq- one of their mem¬ bers. I LON [2 tordan. bers, who left 30,000!. for the building and the re- —lief of 20 poor members of the company j befides the maintenance and education of 20 boys, fons of decay, ed freemen of the fame company. This is a large edi¬ fice of brick and ftone, 400 feet long, with a piazza in front 340 feet in length, confiding of ftone columns of the Tufcan order. In the middle of the building is a chapel, adorned with columns, entablatures and pediment, of the Ionic order ; under the pediment is a ■niche with a ftatue of the founder. In the fame parifti is the Ironmongers hofpital, likewife a large building. In the pariftr of St Mary, Whitechapel, Hands the London Hofpital, for the reception of the fick. It is a large building, and was ere&ed a few years fince by voluntary contribution. Here are alfo fome confider- able alms-houfes. [toufo of Within the precin&s of Weftminfter are feveral ftate- the nobili- ly houfes belonging to the nobility, fome of which have been already mentioned. Of the others, the mod re¬ markable at prefent are, Burlington-houfe, Devonfliire- houfe, Egremont-houfe, and Bedford-houfe $ Carleton- houfe, the magnificent abode of the prince of Wales; and the fuperb refidence eredled by the duke of York I4<; between the Treafury and the Horfe-guards. Britifh To thefe may be added, Montagu-houfe (now the Mufeum. Britifh Mufeum) ; which was built on a French plan by the firft duke of Montagu, who had been ambafia- dor in France. The ftaircafe and ceilings were paint¬ ed by Rouffeau and La Foffe : the apotheofis of Iris, and the affembly of the gods, are by the laft. It was purchafed of the duke’s heirs by parliament, for uniting together the Royal, Cottonian, Harleian, Sloanian, and other colle&ions of books, MSS. coins, antiqui¬ ties, fubje&s in natural hiftory, &c. &c. for the public ufe, for which it is excellently adapted. The firft of thefe libraries contains the books and MSS. of our princes from Henry VII. to Charles II.; the fecond the MSS. colle&ed by Sir John Cotton, his fon, and grandfon Sir John, which laft gave it to the public by adl 12 and 13 Will. HI. c. 7. The Harleian collec¬ tion of MSS. was formed by Edward earl of Oxford, and purchafed by government in 1753, at the fame time with the library, MSS. and natural curiofities, of Sir Hans Sloane. This laft coft Sir Hans 50,000!. ; and he left it by will, to the ufe of the public, on con¬ dition that the parliament would pay 20,000!. to his executors. It comprehends an amazing number of cu¬ riofities : among which are, the library, including books of drawings, MSS. and prints, amounting to about ^0,000 volumes ; medals and coins, ancient and mo¬ dern, 20,000 ; cameos and intaglios, about 700 ; feals, 268 ; veffels, &c. of agate, jafper, &c. 542 ; antiqui¬ ties, 1125; precious ftones, agates, jafper, &c. 2256; metals, minerals, ores, &c. 2725; cryftal, fpars, &c. 1864; foflUs, flints, ftones, 1275; earths, fands, falts, 1035 ; bitumens, fulphurs, ambers, &c. 399 ; talcs, micae, &C.-388; corals, fponges, &c. 1421 ; teftacea, or {hells, &c. 5843 ; echini, echinitae, &c. 659 ; afte- riae, trochi, entrochi, &c. 241; cruftaceae, crabs, lob- fters, &c. 363; ftellae marinae, ftar-filhes, &p. 173 ; fifti, and their parts, &c. 1555 \ birds, and their parts, eggs, and nefts of different ipecies, 1172; quadrupeds, &c. 1886; vipers, ferpents, &c. 521; infefls, &c. 5439 ; vegetables, 12,506 ; hortus ficcus or volumes of dried plants, 334; humani, as calculi, anatomical pre- i ] LON parations, 756; mifcellaneous things, natural, 2098 ; London. ^ mathematical inftruments, 55. A catalogue of all the 'J " v above is written in a number of large volumes. It is a large and magnificent building ; and has behind it a garden, confifting nearly of nine acres. The Britifti Mufeum has of late been very much en¬ riched by an acceflion of Egyptian curiofities, chiefly taken from General Menou at Alexandria. The Bri¬ tifti Mufeum has received a very valuable acceflion of minerals in the fplendid colleftion of the Hon. C. Gre- ville, which was purchafed by parliament at the ex¬ pence of 13,000!. fterling, and depofited there for the ufe of the public. _ 147 Befides a great number of fpacioos ftreets, which are Principal daily increafing, this part of the metropolis is ornament- ed with feveral magnificent fquares, viz. Grofvenor- fquare, Berkeley-fquare, Portman-fquare, Cavendifti- fquare, Hanover-fquare, St James’s-fquare, Soho-fquare, Bloomfliury-fquare, Queen’s-fquare, Lincoln’s Inn- Fields, Leieefter-fquare, Red-Lion-fquare, fome of which have been particularly defcribed; not to mention others that are at prefent building. In general the new build¬ ings in the liberty of Weftminfter have increafed to a prodigious degree; infomuch that they reach as far as Marybone to the north, Piccadilly to the fouth, and Hyde-Park wall to the weft. . 148 Before the conflagration in 1666, London (which London^an- like moft other great cities, had arifen from fmall be- ginnings) was totally inelegant, inconvenient, and un- and un_ healthy, of which latter misfortune many melancholy healthy, proofs are authenticated in hiftory, and which, without doubt, proceeded from the narrownefs of the ftreets, and the unactountable projeftiohs of the buildings, that confined the putrid air, and joined with other circum- ftances, fuch as the want of water, rendered the city feldom free from peftilential devaftation. R he fire which confirmed the greateft part of the city, dreadful as it was to the inhabitants at that time, was produc¬ tive of confequences which made ample amends for the Ioffes fuftained by individuals; a new city arofe on the ruins of the old ; but, though more regular, open, con¬ venient, and healthful, than the former, yet it by no means anfwered to the charadters of magnificence or elegance, in many particulars; and it is ever to be la¬ mented (fuch was the infatuation of thofe times), that the magnificent, elegant, and.ufeful plan of the great Sir Chriftopher Wren, was totally difregarded, and fa- crificed to the mean and felfifti views of private pro¬ perty ; views which did irreparable injury to the citi¬ zens themfelves, and to the nation in general : for had that great architedl’s plan been followed, what has of¬ ten been afferted muft have been the refult; the me¬ tropolis of this kingdom would inconteftably have been the moft magnificent and elegant city in the univerfe; and of confequence muft, from the prodigious refort of foreigners of diftiudlion and tafte who would have vi- fited it, have become an inexhauftible fund of riches to this nation. But as the deplorable blindnefs of that age has deprived us of fo valuable an acquifition, it is become abfolutely neceffary that fome efforts fhould be made to render the prefent plan in a greater degree anfwerable to the chara&er of the richeft and moft powerful people in the world. _ _ 1491 The plan of London, in its prefent flate, will ih Its pL” many inftances appear to very moderate judges to he^e e ec* D d 2 as * LON [2i 'London, as injudicisus a difpofitiftn as can eafily be conceived ’ \r~~~ for a city of trade and commerce, on the borders of fo noble a river as the Thames. The wharfs and quays on its banks are extremely mean and inconvenient $ and the want of regularity and uniformity in the ftreets of the city of London, and the mean avenues to many parts of it, are alfo circumftances that greatly leffen the grandeur of its appearance. Many of the churches and other public buildings are likewife thruft up in corners, in fuch a manner as might tempt fo¬ reigners to believe that they were defigned to be con¬ cealed. The improvements of the city of London for feme years paft have, however, been very great j and the new ftreets, which are numerous, are in general more fpacious, and built with greater regularity and 150 elegance. Great im- Xhe very elegant and neceffary method of paving provemeuts. enligljtening the ftreets is alfo felt in the moft fen- fible manner by all ranks and degrees of people. The roads are continued for feveral miles around upon the fame model •, and, exelufive of lamps regularly placed on each fide, at ftiort diftances, are rendered more fe- cure by watchmen ftationed within call of each other. Nothing can appear more brilliant than thofe lights when viewed at a diftance, efpecially where the roads run acrofs; and even the principal ftreets, fuch as Pall- Mall, New Bond-ftreet, Oxford-ftreet, &c. convey an 151 idea of elegance and grandeur. Wealth anl London, then, in its large fenfe, including Weft- grandeur ofminqer, Southwark, and part of Middlefex, forms metropolis. one great metropolis, of vaft extent and of prodi¬ gious wealth. YVhen confidered with all its advan¬ tages, it is now' what ancient Rome once was $ the feat of liberty, the encourager of arts, and the admi¬ ration of the whole world. It is the centre of trade *, has an intimate connexion with all the counties in the kingdom ; and is the grand mart of the nation, to which all parts fend their commodities, from whence they are again fent back into every town in the nation and to every part of the world. From hence innumer- - able carriages by land and water are conftantly em¬ ployed : and from hence arifes that circulation in the national body which renders every part healthful, vigo¬ rous, and in a profperous condition ; a circulation that is equally beneficial to the head and the moft diftant members. Merchants-are here as rich as noblemen ; witnefs their incredible loans to government: and there is no place in the world where the (hops of tradef- men make fuch a noble and elegant appearance, or are 152 better flocked. Its excellent Xhe Thames, on the banks of which London is fi- fitnation tuated, is a river which, though not the largeft, is the richeft and moft commodious for commerce of any in the world. It is continually filled with fleets, fail¬ ing to or from the moft difiant climates ; and its banks, from London-bridge to Blackwall, form almoft one continued great magazine of naval ftores ; containing numerous wet docks, dry docks, and yards for the building of (hips, for the ufe of the merchants; befides the places allotted for the building of boats and lighters, and the king’s yards lower down the river for the building of men of war. The Weft India Docks are defigned to receive all the (hips trading to the Weft Indes, and will, when finiftitd, juftly claim a place among the curiofities for com¬ merce. 2 ] LON of Great Britain. By virtue of an a£l of parliament London, they were undertaken in 1799, the entrances into which —\r-~J are by Blackwall and Limehoufe-hole. The proprie¬ tors began wdth a capital of 500,000!. with parliamen¬ tary authority toincreafe it to 6oo,oool. if they (hould find it requifite, and they are to be indemnified by a tonnage of 6s. upon the burden of every drip entering the dock. The docks at Wapping muft be allowed to be an important improvement. The prodigious one which goes by the name of St George’s dock, is capable of containing 200 (hips, and Shadwell dock will contain about 50 veflels. The company proje&ing and carry¬ ing thefe into execution, poffefs a capital of 1,200,0001. and the (hares bear a premium. The foundation of the entrance bafon w7as laid on the 26th of June, 1802, and at the fame time the firft done of a tobacco ware- houle, which is the largeft in the world. As the city is about 60 miles diftant from the fea, it enjoys, by means of this beautiful river, all the bene¬ fits of navigation, without the danger of being fur- prifed by foreign fleets, or of being annoyed by the moift vapours of the fea. It riles regularly from the water-fide, and, extending itfelf on both (ides along its banks, reaches a prodigious length from eaft to weft in a kind of amphitheatre towards the north, and is conti¬ nued for near 20 miles on all (ides, in a fucceflion of magnificent villas and populous villages, the country- feats of gentlemen and tradefmen 5 whither the latter retire for the benefit of freftr air, and to relax their minds from the hurry of bufinefs. The regard paid by the legiilature to the property of the fubjeft, has hiterto prevented any bounds being fixed for its ex- tenfion. The irregular form of London makes it difficult toIl;s afeertain its extent. However, its length from eaft to extent, f weft is generally allowed to be above 1'even miles from Hyde-park corner to Poplar ; and its breadth in lome places three, in others two, and in others again not much above half a mile. Hence the circumference of the whole is almoft 18 miles 3 or, according to a later meafurement, the exteot of continued buildings is 35 miles two furlongs and 39 roods. But it is much ealier to form an idea of the large extent of a city fo irregu¬ larly built by the number of the people, who are com¬ puted to be near a million 3 and from the number of edifices devoted to the fervice of religion. ^ 1 Of thefe, befide St Paul’s cathedral and the colle-General | giate church at Weftminfter, there are 114 parifh-enuraera- 1 churches and 62 chapels, of the eftabliftied religion ;t,on 17 foreign Proteftant chapels 3 11 chapels belonging ^“^^1 to the Germans, Dutch, Danes, &c.; 26 Independent meetings 3 34 Prefhyterian meetings 3 20 Baptift meet¬ ings 3 11 Popifh chapels, and meeting-houfes for the ufe of foreign ambaffadors and people of various ledls j and 6 Jews fynagogues. So that there are above 300 places devoted to religious worfliip in the compals of this vaft pile of buildings, without reckoning the 21 out-parifties ufually included in the bills of mortality, and a great number of Methodift tabernacles. There are alfo in and near this city 100 alms-houfes, Hofpitals,! about 20 hofpitals and infirmaries, 3 colleges, 10 public fchoo:s, i prifons, 15 fle(h-markets 3 one market for live cattle Routes, two other markets more particularly for herbs 3 and 23 other markets for corn, coals, hay, &c. 3 15 inns of court j LON [21 i London, court i 2? public fquares, befides tbofe within Angle Y ' buildings, as the Temple, &c. j 3 bridges, 55 halls for companies, 8 public fchools, called free-fchools j and 13 x charity-fchools, which provide education for 5034 poor children 5 207 inns, 447 taverns, 551 cof- feehoufes, 5975 alehoufes; xooo hackney-coaches j 400 ditto chairs j 7000 ftreets, lanes, courts, and alleys, and 150,000 dwelling-houfes, containing, as has been *S6 r, already obferved, about 1,000,000 inhabitants, who, according to a moderate eftimate, are fuppofed to con- n‘“i lUU 'fume the following provilions weekly : 157 .Veetdy ionfumpt [ )f provi- ions. 1000 Bullocks, at 61. a-piece - L. 6000 o O 6000 Sheep, at 12s. a-piece - 3600 o O 2000 Calves, at il. 4s. a-piece 2400 o o 3000 Lambs, at 8s. a-piece for fix months - - - 1200 O o 1500’ Hogs in pork and bacon, at 20s. for fix months - - I50° 0 0 2000 Pigs, at 2s. 6d. a-piece - 250 o O 1000 Turkeys, at 3s. 6d. a-piece for fix months - - - I750° 1000 Geefe. at 2s. 6d. a-piece, for fix months - - - 125 o O 2000 Capons, at !-•>. 8d. a-piece - 166 13 2 500 D zens of chickens, at 9s per dozen - - - 225 o o 4300 Ducks, at 9d. a-piece - 161 5 o 1500 Dozens of rabbits, at 7s. per dozen, for eight months - 525 O O 2000 Dozens of pigeons, at 2s. per dozens, for eight months - 200 O O 700 Dozens of wild fowl, of feveral forts, for fix months - - 250 o o In fait and frelh filh, at id. a-day, for half a million of people for a week 14,583 6 8 In bread of all forts, white and brown, at id. a-day, for one million of people for a week - - 29,166 13 4 300 Tons of wine, of all forts, at 50I. a ton, one fort with another, for one week , _ - 15,000 O O In milk, butter, cheefe, &c. at id. a-day, for a million of people for a week _ _ - 29,166 13 4 In fruit of all forts, at one farthing a-day, for a million of people for a week - - - 7291 13 4 In eggs of hens, ducks, geefe, &e. at half a farthing a-day, for a million of people for a week - - 3645 4 In beer and ale, ftrong and fmall, at 2d. a-day, for a million of people for a week - - - 5^,333 ^ ^ In fugar, plums, and fpice, and all forts of grocery, at a halfpenny a- day, for a million of people for a week . - - - 14,583 6 8 In wheat-flour, for pies and pud¬ dings, oat-meal and rice, &c. at half a farthing a-day, for a million of people for a week - - 3645 *6 8 In fait, oil, vinegar, capers, olives, and other fauces, at half a farthing 3 ] ..LON a-day, for a million of people for a week ... L.3645 16 In roots and herbs of all forts, both for food and phyfic, at half a far¬ thing a-day, for a million of people for a week - - - 3^45 ^ In fea-coal, charcoal, candles, and fire-wood of all forts, at id. a-day, for a million of people for a week 29,166 13 4 In paper of all forts (a great quantity being ufed in printing) quills, pens, ink, and wax, at a farthing a-day, for a million of people for a w eek 729i I3 4 In tobacco, pipes, and fnuff, at half a farthing a-day, for a million of people for a week - - 3^45 8 In clothing, as linen and woollen, for men, women, and children, ihoes, itockings, &c. at 3s. 6d. per week, for a million of people for a week - - 175,000 O O Expences for horfe-meat, in hay, oats, beans, 1000 load of hay, a-week, at 40s. a load, comes to 2000I. in oats and beans the like value, 2000I. which is in all, for one w-eek - 4000 o O Cyder, mum, brandy, ftrong waters, coffee, chocolate, tea, &c. at id. a-day, for a million of people for one week - - - 29,166 13 4 London, G8 The common firing is pit coal, commonly called fea Firing;, por- coal, of w'hich there are confumed upwards of 766,880 ter, Stc. chaldrons every year. The annual conlumption ot oil in London and Weftminiter for lamps, amounts to 400,000!. In 1787, the quantity of porter brewed in London for home confumption and foreign exportation, amounted to 1,176,856 barrels. In 1805 it amounted to 1,200,000 barrels of 36 gallons each. The above was the weekly confumption of the arti¬ cles fpecified a few years ago. The following is the annual confumption of fome of them eftimated fince the year 1800. Bullocks 110,000 : Iheep and lambs 776,000: calves 210,000: hogs 210,000: fucking pigs 60,000: milk in gallons 6,980,000; for which the inhabitants pay 481,666!. and this is the produce of 8500 cows : vegetables and fruit 3,000,000!.: ipi- rituous liquors and compounds 11,146,782 gallons: wine 32,500 tons: butter 16,600,000 pounds : cheefe 21,100,000 pounds. xijp This great and populous city is happily fupplied Supply of with abundance of frelh water from the 'lhames andwater* the New River ; which is not only of inconceivable fervice to every family, but by means of fire plugs everywhere difperfed, the keys of which are depofited with the parifti officers, the city is in a great mealure fecured from the fpreading of fire ; for thefe plugs are no fooner opened, than there are vaft quantities of wa¬ ter to fupply the engines. This plenty of water has l6-0 been attended with another advantage, it has given infurance rife to feveral companies, who enlure houfes and companies, goods from fire ; an advantage that is not to be met with in any other nation on earth : the premium is fmall; and the recovery in cafe of lofs is eafy and cer¬ tain. i6i Places of diveriion, &c. LON [2 XonAon, tam. Every one of thefe offices keeps a fet of men in London- pay^ \yfio are ready at all hours to give their affiftance derry' , in cafe of fire ; and who are on all occafions extremely bold, dexterous, and diligent : but though all their la¬ bours fhould prove unfuccefsful, the perfon who fuffers by this devouring element has the comfort that muff arife from a certainty of being paid the value (upon oath) of what he has enfured. The places for diveffion are, Vauxhall, Ranelagh- gardens, the two play-houfes, the Pantheon, and the little theatre in the Hay-Market, with Sadler’s-wells, Hugh es’s Circus, and Aflley’s Royal-Grove, &c. The finelf repofitories of rarities and natural hiftory, are Sir Hans Sloane’s, in the Britifli Mufeum, already deferr¬ ed ; and another collefted by Sir Afhton Lever, after¬ wards the private property of Mr Parkinfon, and de- pofited in apartments for public infpe£tion, near the fouth end of Blackfriars bridge, was fold in 1806. The Royal Intfitution owed its origin to a number of noblemen and gentlemen, who held meetings for the avowed purpofe of ameliorating the condition of the poor. They firfl projefted the plan of its foundation, which was matured by the exertions and talents of the indefatigable Count Rumford. The meetings began in 1800, fhortly before which his majefly granted the proprietors a charter of incorporation by the name of the Royal Injlitution of Great Britain, for the purpofe of facilitating the general introdu&ion of ufeful mecha¬ nical inventions and improvements, and for teaching, by courfes of philofophical lectures and experiments, the application of fcience to the common purpofes of life. The government of the fociety confifts of the prefi- dent, 15 managers, and the fecretary, chofen by and from among the proprietors. Of the 15 managers, one- third is defied annually, on the firft of May. The houfe is fituated in Albemarle-ftreet, is extremely fpa- cious, and well adapted to the purpofes to which it is applied. The London Inftitution was formed in the autumn of 1805, by the indefatigable exertions of a few fpirit- ed individuals. The houfe in the mean time is in the Old Jewry, till the managers can procure a more fuitable place. The defign of it is to promote the diffemination of fcience, literature, and the arts : its view at prefent being confined to three objedls, viz. the acquifition of a valuable and extenfive library ; the diffufion of ufeful knowledge by the means of leflures and experiments *, and the eftablilhment of a reading room, where the foreign and domeftic journals are provided for the ufe of the proprietors and fubferibers. The government of the inftitution is veiled in a prefident, four vice-prefi- dents, twenty managers, and the fecretary. The num¬ ber of proprietors is limited to 1000, each of whom paid 75 guineas for a lhare, and the life fubferibers pay 25 guineas. Londonderry, or Colermn, a county of Ireland, in the province of Ulfter. It is bounded on the fouth and fouth-weft by the county of Tyronne ; by Antrim on the eaft, from which it is parted by the xiver Bann : by Donegal on the weft j and that coun¬ ty and the Deucaledonian ocean on the north. Its greateft length is about 36 miles, its breadth 30, con¬ taining about 251,510 acres. The bogs and heaths •«f this county are manured with fea-fliells, as thofe 3 14 ] LON of Donegal. Like that, too, it is pretty champaign, and not unfruitful. It is particularly noted for a very clear river called the Bann, abounding with falmon, a ^ filh faid to delight in limpid ftreams. This river, to diftinguilh it from a leffer of the fame name, is called the Greater or Lower Bann. In order to cultivate, fettle, and civilize this county, King James I. granted it, by letters patent, to a fociety, by the name of the Governor and AJJiJlants at London of the new plantation of Uljler in the realm of Ireland. It contains fix ba¬ ronies ; and, befides the two knights of the Ihire, fends to parliament two members for the city of London¬ derry, and two each for Colerain and Newton-Lima- vady or Lamnevady. Londonderry, or D^rry, the capital of the county, and the fee of a bilhop, Hands at the bottom of Lough- Foyle. This city has a very good port, to which Ihips of the greateft burden have accefs, and a confidt/rable trade. It will be ever famous for the gallantry and perfeverance with which it defended itfelf in three memorable fieges, in defiance of the greateft hardihips and difeouragements, namely, ift, In 1641, when the rebels could not reduce it either by fraud or force. 2dly, In 1649, when it was befieged by the lord Ardes, and reduced almoft to extremity by famine, till at lalt relieved by troops fent from England. 3dly, When it held out againft the French and Irifti from the 7th of December 1688, to the laft day of July 1689, though it was neither well fortified nor provided with a garrifon or (lores of provifion and ammunition, and hardly any attempt made to relieve it during fo long a time. Though the city is 20 miles up the river, yet very large (hips can come up to the quay, where there are four or five fathoms of water. It is now well for¬ tified with a ftrong wall, befides outworks j and along the banks of the river are feveral 'Caftles and a fort. This city is of no great antiquity, having been built and planted in the reign of James I. by a colony fent by the fociety above mentioned. The trade of the town is very confiderable, having not only a large (hare in the herring filhery, but lending (hips alfo to the Weft Indies, New England, and Newfoundland, for which they are fo advantageoufly fituated, that a veffel bound from thence to America often arrives there before a London (hip can get clear of the found¬ ings, or arrive in the latitude of Londonderry. Though there are a great many (hallows in Lough-Foyle, which ferves it inftead of a road ; yet they are eafily avoided, as there are deep channels between them. Thefe points called Emiftone, Rujlerhull or Caldy head, which lie a little to the weft of the mouth of the har¬ bour, are counted the mod northerly of Ireland. The inhabitants of this city are almoft all Proteftants. It gave title of earl and baron to a branch of the family of Pitt, which became extinft in 17645 but part of the title was revived in Robert Stewart, who was creat¬ ed Baron Londonderry in 1789. A late traveller fays, “ Derry is, perhaps, the cleaned, bed built, and mod beautifully fituated town in Ireland 5 and except¬ ing Cork, as convenient as any for commerce, foreign and domeftic.” The lake almoft furrounds it 5 and the whole ground-plot both of it and its liberties belongs to the 12 great companies of London. Great quantities of falmon, failed and barrelled, are exported from hence to America. It contains 10,000 inhabitants, . and London, derrv. LON [2 Lofton and has a wooden bridge 1068 feet long, which was deny, ere&ed in 1791. Long. 70 5' W. Lat. 550 4' N. Lond- LONG, an epithet given to whatever exceeds the ufual itandard of length. LONG-Boat, the largeft and ftrongeft boat belonging to any diip. It is principally employed to carry great burdens, as anchors, cables, ballalt, &c. See Boat. Long, Roger, D. D. matter of Pembroke-hall in Cambridge, Lowndes’s profeffor of aftronomy in that univerfity, reftor of Cherryhinton in Huntingdonttiire, and of Bradwell juxta mare in Effex, was author of a well known and much improved treatife of aftronomy, and the inventor of a remarkably curious aftronomical machine, thus deferibed by himfelf. “ I have, in a room lately built in Pembroke-hall, erefted a fphere of 18 feet diameter, wherein above 30 perfons may fit con¬ veniently; the entrance into it is over the fouth pole by fix fteps; the frame of the fphere confifts of a number of iron meridians, not complete femieircles, the north¬ ern ends of which are fcrewed to a large round plate of brafs, with a hole in the centre of it ; through this hole, from a beam in the ceiling, comes the north pole, a round iron rod, about three inches long, and fupports the upper parts of the fphere to its proper elevation for the latitude of Cambridge; the lower part of the fphere, lo much of it as is invifible in England, is cut off; and the lower or fouthern ends of the meridians, or trunca¬ ted femicircles, terminate on, and are fcrewed down to a ftrong circle of oak, of about 13 feet diameter; which, when the fphere is put into motion, runs upon large rollers of lignum vitae, in the manner that the tops of fome windmills are made to turn round. Upon the iron meridians is fixed a zodiac of tin painted blue, whereon the ecliptic and heliocentric orbits of the pla¬ nets are drawn, and the conftellations and ftars traced : the Great and Little Bear and Draco are already paint¬ ed in their places round the north pole ; the reft; of the conftellations are propofed to follow' : the whole is turned round with a fmall winch, writh as little labour as it takes to w ind up a jack, though the weight of the iron, tin, and wooden circle, is about 1000 pounds. When it is made ufe of, a planetarium will be placed in the middle thereof. The w hole, with the floor, is well fupported by a frame of large timber.” Thus far Dr Long, before this curious piece of mechanifra was per¬ fected. Since the above was written, the fphere has been completely finiftied ; all the conftellations and ftars of the northern hemifphere, vifiblexat Cambridge, are painted in their proper places upon plates of iron joined together, which form one concave furface. Dr Long publiftied a Commencement Sermon 1728 ; and an an- fwer to Dr Galley’s pamphlet on Greek Accents; and died December 16th, 1770, at the age of 91. As the materials for this article are fcanty, we fliall fubjoin, for 1783, from the Gentleman’s Magazine*, a few traits of him, 3 583. as delineated in 1769 by Mr Jones. “ He is now in the 88th year of his age, and for his years vegete and active. He was lately (in O&ober) put in nomination for the office of vice-chancellor. He executed that truft once before, I think in the year 1737 ; a very in¬ genious perfon, and fometimes very facetious. At the public commencement in the year 17x3, Dr Greene (tnafter of Bennet college, and afterwards bifhop of Ely) being then vice-chancellor, Mr Long w'.as pitched S J LON upon for the tripos-performance ; it was witty and hu- morous, and has palled through divers editions. Some Longevity^ that remembered the delivery of it, told me, that in addrelfing the vice-chancellor (whom the univerfity wags ufually ftyled Mifs Greene), the tripos-orator, be¬ ing a native of Norfolk, and afluming the Norfolk dia¬ led, inftead of faying, Domine Vice-Canceliarit, did very archly pronounce the words thus, Domim. Vice- Canceilari'A ; which occafioned a general fmile in that great auditory. His friend the late Mr Bonfoy of Rip- ton told me this little incident, ‘ That he and Dr Long walking together in Cambridge in a dulky evening, and coming to a ftiort pojl fixed in the pavement, which Mr B. in the midft of chat and inattention, took to be a boy Handing in his way, he faid in a hurry, ‘ Get out of my way, boy.’ ‘ That boy. Sir, faid the doc¬ tor very calmly and flily, is a poflboy, who turns out of his way for nobody.^—I could recoiled feveral other ingenious repartees if there were occafion. One thing is remarkable, he never was a hale and hearty man, al¬ ways of a tender and delicate conftitution, yet took great care of it. His common drink water. He always dines with the fellows in the hall. Of late years he has left off eating fleih-meats ; in the room thereof, puddings, vegetables, &c. fometimes a glafs or two of; wine.” LONGEVITY, length of life. From the different longevities of men in the begin¬ ning of the world, after the flood, and in thefe ages, Mr Derham draws an argument for the interpofition of a divine Providence. Immediately after the creation, w'hen the world was to be peopled by one man and one woman, the ordinary age was 900 and upwards.—Immediately after the flood, when there were three perfons to ftock the world,, their age was cut ftiorter, and none of thofe patriarchs, but Shem, arrived at 5C0. In the fecond century we find none that reached 240 : in the third, none butTe- rah that came to 2.00 years ; the world, at leaft a part of it, by that time being fo well peopled, that they had built cities, and were cantoned out into diftant nations. —By degrees, as the number of people increafed, their longevity dwindled, till it came down at length to 70 or 80 years : and there it flood, and has continued to Hand ever fince the time of Mofes.—This is found a good medium, and by means hereof the world is neither overftocked, nor kept too thin; but life and death keep a pretty equal pace. That the common duration of man’s .life has been the fame in all ages fince the above period, is plain both from facred and profane hiftory. To pafs by others, Plato lived to 8x* and was accounted an old man : and the inftances of longevity produced by Pliny, lib. vii. c. 48. as very extraordinary, may moft of them be matched in modern hiftories.—In the following Tables are colle£ted into one point of view the moft memorable inftances of long-lived perfons of whofe age we have any authentic records. The firft and fecond are extra *n America. Irom the 42d he was draughted t© a£t as a drill ferjeant in the 78th regiment, in which he ferved at the reduaion of Louifburg and Quebec : After this he became an out-penfioner of Cbelfea Hofpital. But fuch was the fpirit of this brave and hardy ve¬ teran, that he ferved in 1761 as a volunteer in Germany under the marquis of Granby j and offered his fervices in the American war to Sir Henry Clinton j who, though he declined to employ the old man in the fatigues and dangers of war, treated him with great kindnefs, allowed him a liberal weekly penfren out of his own pocket, and' fent him home in a Ihip charged with defpatehes to government.—The ierjeant, “ as-his memory, according to the obfervation of his biographer, is impaired, does not pretend to make an exaft enu¬ meration of all his offspring : but he knows of 16 fons now living, 14 of whom are in the army and navy, be- fides daughters -, the eldeft ©f whom by his prefent wife is a mantuamaker at Newcaftle—His eldeft fon is now 83 years old, and the youngeft only nine. Nor, in all probability, would this lad clofe the rear of his immedi¬ ate progeny, if his-prefent wife, the boy’s mother, had not attained to the 49th year of her age. In his prime he did not exceed five feet and Even inches. He is now inclined through age to five feet five inches. He has an intending phyfiognomy, expreflive of fincerity, fenfibility, and manly courage. His biographer very properly fubmits it to the confideration of the Polygraphic Society, whether they might not do a thing worthy of themfelves and their ingenious art, if they ftiould multiply likeneffes of this living antiquity, and cir¬ culate them at an eafy rate throughout Britain and Europe. They would thus gratify a very general curiofity j. a curiofity not confined to the prefent age,.. LON [ 219 ] LON evity. and that what a nation lofes in the feale of population principle contained in the atmofphere, fo efiential to Longevo:y» -at one period, it gains at another ; and thus probably, the fupport of flame, as well as animal life, concern- the average number of inhabitants on the iurface of ing which authors have propofed fo many conjetfures, the globe continues at all times nearly the fame. By appears now to be nothing elfe but that pure dephlo- this medium, the world is neither overftocked with in- ghticated fluid lately difcovered by that ingenious phi- habitants nor kept too thin, but life, and death keep a lofopher Dr Prieftley. The common atmofphere may tolerably equal pace, The inhabitants of this ifland, well be fuppofed to be more or lefs healthy in propor- comparatively fpeaking, are but as the dull of the ba- tion as it abounds with this animating principle. As lance ; yet inflead of being diminilhed, we are affured this exhales in copious fleams from the green leaves by other writers, that within thefe 30 years they are of all kinds of vegetables, even from thofe of the moll greatly increafed. " poifonous kinds, may we not, in feme meafure account ^ The defire of felf-prefervation, and of protrafling why inltances of longevity are fo much more frequent the Ihort fpan of life, is fo intimately interwoven with in the country than in large cities ; where the air, in¬ cur conftitution, that it is jultly efteemed one of the Head of partaking fo_ largely of this falutary impregna- firlt principles of our nature, and, in fpite even of pain tion, is daily contaminated with noxious animal effluvia and mifery, feldom quits us to the la A moments of and phlogifton ? our exiflence. It feems, therefore, to be no lefs our With refpea to climate, various obfervations con- duty than our intereft, to examine minutely into the fpire to prove, that thofe regions which lie within the various means that have been confidered as conducive temperate zones are bell calculated to promote long to health and long life : and, if polflble, to diftinguiffl life. Hence, perhaps, may be explained, why Italy fuch circumflances as are effential to that great end -has produced fo many Jong livers, and why illands in from thofe which are merely accidental. But here it general are more falutary than continents; of which is much to be regretted, that an accurate hiltory of Bermudas and fome others afford examples. And it the lives of all the remarkable perfons in the above is a pleafmg circumllance that our own ifland ap- table, fo far as relates to the diet, regimen, and the pears from the above table (notwithflanding the fud- ufe of the non-naturals, has not been faithfully handed den viciffitudes to which it is liable) to contain far down to us j without which it is impoffible to draw more inftances of longevity than could well be imagin- the neceffary inferences. Is it not then a matter of ed. The ingenious Mr Whitehurft affures us, from aftoniihment, that hiftorians and philofophers have hi- certain fafts, that Englifflmen are in general longer therto paid fo little attention to longevity ? If the pre- lived than North Americans $ and that a Britilh con- fent imperfed lift fliould excite others, of more leifure ftitution will laft longer, even in that climate, than a and better abilities, to undertake a full inveftigation native one. But it muft be allowed in general, that • of fo interefting a fubjed, the inquiry might prove not the human conftitution is adapted to the peculiar ftate only curious but highly ufeful to mankind. In or- and temperature of each refpedive climate, fo that no der to furniih materials for a future hiftory of longe- part of the habitable globe can be pronounced too hot vity, the bills of mortality throughout the kingdom or too cold for its inhabitants. Yet, in order to pro- ought firft to be revifed, and put on a better footing, mote a friendly intercourfe between the moft remote agreeable to the fcheme of which Manchafter and Chef- regions, the Author of nature has wifely enabled the ter have already given a fpecimen highly worthy of inhabitants to endure great and furprifmg changes of imitation. The"plan, however, might be further im- temperature with impunity. proved with very little trouble, by adding a particular 2. Foods and drink. Though foods and drink Oa account of the diet and regimen of every perfon who the moft Ample kinds are allowed to be the bell cal- dies at 80 years of age or upwards; and mentioning culated for fupporting the body in health, yet it can whether his parents were healthy, long-lived people, hardly be doubted but variety may be fafely indulged &c. An accurate regifter, thus eftabliffled through- occaflonally, provided men would reftrain their appe- out' the Britiih dominions, would be produftive of tites within the bounds of temperance : for bound- many important advantages to fociety, not only in a ful Nature cannot be fuppofed to have poured forth medical and philofophical, but alfo in a political and fuch a rich profufion of proviftons, merely to tantalize moral view. the hu“an fpecies, without attributing to her the part All the circumllances that are moft effenlially necef- of a cruel ftepdame, inftead of that of the kind and fary to life may be comprifed under the fix follow- indulgent parent. Befldes, we find, that by the won- ing heads : 1. Air and climate > 2. Meat and drink j derful powers of the digeftive organs, a variety of am- a. Motion and reft *, 4. The fecretions and excretions j mal and vegetable fubftances, of very dncordant pnn- c. Sleep and watching j 6. Affeaions of the mind. ciples, are happily afflmilated into one bland homoge- Thefe though all perfectly natural to the conftitu- neous chyle ; therefore it feems natural to diftrult thols tion, have by writers been ftyled the non-naturals, by cynical writers, who would rigidly confine mankind to a ftrange perverfion of language ; and have been all one Ample diffl, and their drink to the mere water of copioufly handled under that impropej term. How- the brook. Nature, it is true, has pointed out that mild eve- it may not be amifs to offer a few fflort obferva- infipid fluid as the univerfal diluent, and therefore moft tions’ on each, as they are fo immediately conneded admirably adapted for our daily beverage. But expe- with the prefent fubjed. rience has equally proved, that vinous and fpintuous I. /fir. See. It has long been known that frefh air is liquors, on certain occafions, are no lefs ialutary anu more immediately neceffary to life than food ; for a man beneficial, whether it be to fupport ftrength agamft may live two or three days without the latter, but not ficknefs or bodily fatigue, or to exhilerate the mind manv minutes without the former. The vivifying under the preflure of hea’&y misfortunes. But) a as • ' E e 2 what LON [ 220 ] LON Lcngev'ty. what Nature meant for innocent and ufeful cordials, to be tjfed on]y occafionally, and according to the direc¬ tion of reafon, cuftom and caprice have by degreesren- dered habitual to the human-frame, and liable to the moft enormous and deftruftive abufes. Hence it may be juftly doubted, whether gluttony and intemperance have not depopulated the world more than even the fword, peftilence, and famine. True, therefore, is the old maxim, “ Modus utendi ex veneno facit medicamen- tum, ex medicamento venerium. 3. and 4. Motion and re/}, Jleep and watching. It is allowed on all hands, that alternate motion and relt, and deep and watching, are neceffary conditions to health and longevity j and that they ought to be adapt¬ ed to age, temperament, conftitution, temperature of the climate, &c.} but the errors which mankind daily commit in thefe refpefts become a fruitful fouree of difeafes. While fome are bloated and relaxed with eafe and indolence, others are emaciated, and become rigid through hard labour, watching, and fatigue. 5. Secretions and excretions. Where the animal fundlions are duly perfonjied, the fecretions go on re¬ gularly ; and the different evacuations fo exaftly cor- refpond to the quantity of aliment taken in, in a given time, that the body is found to return daily to nearly the fame weight. If any particular evacuation happen to be preternaturally diminifhed, fome other evacua¬ tion is proportionally augmented, and the equilibrium is commonly preferved ; but continued irregularities, in thefe important funffions, cannot but terminate in difeafe. 6. AffeBions of the mind. The due regulation of the paflions, perhaps, contributes more to health and longevity than that of any other of the ^non-naturals. The animating paflions, fuch as joy, hope, love, &c. when kept within proper bounds, gently excite the ner¬ vous influence, promote an equable circulation, and are highly conducive to health j while the deprefling affec¬ tions, fuch as fear, grief, and defpair, produce the con¬ trary effect, and lay the foundation of the mofl: formi¬ dable difeafes. From the light which hiflory affords us, as well as from fome inftances in the above table, there is great reafon to believe, that longevity is in a great meafure hereditary j and that healthy long-lived parents would commonly tranfmit the fame to their children, were it not for the frequent errors in the non-naturals, which fo evidently tend to the abbreviation of human life. Where is it, but from thefe caufes, and the unnatu¬ ral modes of living, that, of all the children which are born in the capital cities of Europe, nearly one half die in early infancy ? To what elfe can we attribute this extraordinary mortality ? Such an amazing pro¬ portion of premature deaths is a circumflance unheard of among favage nations, or among the young of other animals ! In the earlieft ages, we are informed, that human life was protrafted to a very extraordinary length $ yet how few perfons, in thefe latter times, arrive at that period which nature feems to have de- figned ! Man is by nature a field animal, and feems de¬ fined to rife with the fun, and to fpend a large por¬ tion of his time in the open air, to inure his body to robuft exercifes and the inclemency of the feafons, and to make a plain homely repaft only when hunger didates. But art has ftudioufly defeated the kind 4 intentions of nature ; and by enflaving him to all the Longevity blandifhments of fenfe, has left him, alas! an eafy vie- |] tim to folly and caprice. To enumerate the various abufes which take place from the earlieft infancy, and ^ which are continued through the fucceeding ftages of modifh life, would carry us far beyond our prefent in¬ tention. Suffice it to obferve, that they prevail more particularly among people who are the moft highly polithed and refined. To compare their artificial mode of life with that of nature, or even of the long-livers in the lift, would probably afford a very ftriking con- traft ; and at the fame time fupply an additional reafon why, in the very large cities, inftances of longevity are fo very rare. LONGFORD, a county of Ireland, in the province of Leinfter, bounded by the counties of Leitrim and Cavan on the north, Meath on the eaft and fouth, and Rofcommon on the weft. It contains 143,700 Irilh plantation acres, 24 parifties, and above 50,000 inha¬ bitants j and returns two members to the imperial par¬ liament. It is fmall, and much encumbered with bog, intermixed with a tolerable good foil; and is about 25 miles long, and 15 broad. Longford, a town of Ireland, fituated on the river Cromlin, in the county of Longford and province of Leinfter, 64 miles from Dublin ; Avhich river falls a few miles below this place into the Shannon. It is a borough, poll, market, and fair town 5 and formerly returned two members to parliament. Patron Lord Longford. It gave title of earl to the family of Aun- gier j of vifeount, to the family of Micklethw aitej and now gives that of baron to the family of Packenham. Within a mile and a half of the town is a charter-fchool for above 40 children. This place has a barrack for a troop of horfe. It is large and well built j and in a very early age an abbey was founded here, of which St Idus, one of St Patrick’s difciples, was abbot. In the year 1400, a fine monaftery was founded to the honour of the virgin Mary, for Dominican friars, by O’Ferral prince of Annaly. This monaftery being de- ftroyed by fire, Pope Martin V. by a bull in the year 1429, granted an indulgence to all who Ihould contri¬ bute to the rebuilding of it. In I433> Pope Eugene IV. granted a bull to the fame purpofe *, and in 1438 he granted another to the like effedi. The church of this friary, now the parilh church, is in the diocefe of Ardagh The fairs are four in the year. LONG-island, an ifland of North America, be¬ longing to the ftate of New York, which is feparated from the continent by a narrow channel. It extends from the city of New York eaft 140 miles, terminat¬ ing with Montauk point; and is not more than ten miles in breadth on a medium. It is divided into three counties, King’s, Queen’s, and Suffolk. The fouth fide of the ifland is flat land, of a light, fandy foil, bordered on the fea-coaft with large trafts of fait meadow, extending from the weft point of the ifland to Southampton. This foil, however, is well calcu¬ lated for raifing grain, efpecially Indian corn. The north fide of the ifland is hilly, and of a ftrong foil, adapted to the culture of grain, hay, and fruit. A ridge of hills extends from Jamaica to South-hold. Large herds of cattle feed upon Hampftead plain and on the fait marlhes upon the fouth fide of. the ifland. Hampftead plain in Queen’s county is a curiolity. It tons¬ il! and II ,onginus LON [22 is 16-miles in length, eaft and weft, and 7 or 8 miles wide. The foil is black and to appearance rich, and yet it was never known to have any natural growth, but a kind of wild grafs and a few fhrubs. It is fre¬ quented by vaft numbers of plover. Rye grows toler¬ ably well on fome parts of the plain. The moll: of it lies common for cattle, horfes, and Iheep. As there is nothing to impede the profpeft in the whole length of this plain, it has a curious but tirefome effeiR upon the eye, not unlike that of the ocean. The ifland contains 30,863 inhabitants. LONGIMETRY, the art of meafuring lengths, both acceflible and inacceflxble. See GEOMETRY and Trigonometry. LUNGING, a preternatural appetite in pregnant women, and in fome lick perfons when about to recover. It is called pica, from the bird of that name, which is faid to be fubjeft to the fame diforder. The diforder conlifts of both a defire of unufual things to eat and drink, and in being foon tired of one and wanting another. It is called malaria, from “ weak- nefs.” In pregnant women it is fomewhat relieved by bleeding, and in about the fourth month of their preg¬ nancy it leaves them. Chlorotic girls, and men who labour under fuppreffed hemorrhoids, are very fubjeft to this complaint, and are relieved by promoting the refpeftive evacuations. In general, whether this dif¬ order is obferved in pregnant women, in perfons re¬ covering from an acute fever, or thofe who labour un¬ der obftruftions of the natural evacuations, this craving of the appetite ftiould be indulged. LONGINICO, a town of Turkey in Europe, in the Morea, anciently called Olympia, famous for being the place where the Olympic games were celebrated, and for the temple of Jupiter Olympus, about a mile diftant. It is now but a fmall place, feated on the river Alpheus, 10 miles from its mouth, and 50 fouth of Lepanto. E. Long. 22. o. N. Lat. 37. 30. LONGINUS, Dionysius, a celebrated Greek cri¬ tic of the third century, was probably an Athenian. His father’s name is unknown, but by his mother he was allied to the celebrated Plutarch. His youth vras fpent in travelling with his parents, which gave him an opportunity to increafe his knowledge, and improve his mind. After his travels, he fixed his refidence at Athens, and with the greateft affiduity applied to ftudy. Here he publiftied his Treatife on the Sublime j which railed his reputation to fuch a height, and gave the Athenians fuch an opinion of his judgment and tafte, that they made him fovereign judge of all authors, and every thing was received and reje&ed by the public according to his decifions. He feems to have ftaid at Athens a long time \ here he taught the academic phi- lofophy, and among others had the famous Porphyry for his pupil. But it was at length his fortune to be drawm from Athens, and to mix in more a&ive fcenesj to train up young princes to virtue and glory; to guide the bufy pafiions of the great to noble objects ; to ftruggle for, and at laft to die in the caufe of liberty. Zenobia, queen of the Eaft, prevailed on him to un¬ dertake the education of her fons -, and he foon gained an uncommon (hare in her efteem : {he fpent the vacant hours of her life in his converfation, and modelled her fentiments and condu6t by his inftruftions. That prin- eefs was at war with Aurelian; and being defeated by i } L O N him near Antioch, was compelled to ftmt herfelf up in Longinus Palmyra, her capital city. The emperor wrote her a Lonsj|tU{jei letter, in which he ordered her to furrender ; to which fhe returned an anfwer, drawn up by Longinus, which filled him with refentment. The emperor laid fiege to the city ; and the Palmyrians were at length obliged to open their gates and receive the conqueror. The queen and Longinus endeavoured to fly into Perfia ; but were unhappily overtaken and made prifoners when they were on the point of crofting the Euphrates. The queen, intimidated, weakly laid the blame of vindicat¬ ing the liberty of her country on its true author ; and the brave Longinus, to the difgrace of the conqueror, was carried away to immediate execution. The writ¬ ings of Longinus were numerous, fome on philofophi*. cal, but the greater part on critical fubje produced a watch which went fo exadtly, that for ten years together it did not err above one fecond in a month. In 1736 it was tried in a voyage to Lilhon and back again, on board one of his majefty’s {hips} during which it correfted an error of a degree and a half in the computation of the {hip’s reckoning. In I confequence of this he received public encouragement to go on : and by the year 1761 had finilhed three time-keepers, each of them more accurate than the former. The laft turned out fo much to his fatisfa&ion, that he now applied to the commiflioners of longitude for leave to make an experiment with his watch in a voyage to the Weft Indies. Permiflion being granted, his fon Mr William Harrifon fet out in his majefty’s {hip the Deptford for Jamaica in the month of Novem¬ ber 1761. This trial was attended with all imaginable fpccefs. The longitude of the ifland, as determined by the time-keeper, differed from that found by aftrono- mical obfervations only one minute and a quarter of the equator ; the longitudes of places feen by the way be¬ ing alfo determined with great exa&nefs. On the {hip’s return to England, it was found to have erred no more during the whole voyage than 1' *n t’me> ’vhich is little more than 28 miles in diftance } which being within the limits prefcribed by the aft, the inventor claimed the whole 20,oool. offered by government. Objeftkms to this, however, were foon ftarted. Doubts ** were pretended about the real longitude of Jamaica, as well as the manner in which the time had been found both there and at Portfmouth. It was alleged alfo, that although the time-keeper happened to be right at Jamaica, and after its return to England, this was by no means a proof that it had always been fo in the intermediate times } in confequence of which al¬ legations, another trial was appointed in a voyage to Barbadoes. Precautions were now taken to obviate as aaany of thefe objeftions as poflible. The comrr.if- fioners fent out proper perfons to make aftronomical Longitudf. obfervations at that ifiand : which, when compared -v-—«•' with others in England, would afcertain beyond a doubt its true fituation. In 1764 then, Mr Harrifon junior fet fail for Barbadoes; and the refult of the experi¬ ment was, that the difference of longitude behvixt Portfmouth and Barbadoes was ftiown by the time¬ keeper to be 3b. 55'3"} and by aftronomical obfer¬ vations to be 3I1. 54' 20" ; the error being now only 43" of time, or io' 45" of longitude. In confequence of this and the former trials, Mr Harrifon received one half of the reward proipifed, upon making a difcovery of the principles upon which his time-keeper were con- ftrufted. He was likewife promifed the other half of the reward as foon as time-keepers ftiould be conftruft- ed by other artifts which Ihould anfwer the purpofe as well as thofe of Mr Harrifon himielf. At this time he delivered up all his time-keepers, the laft of which was fent to Greenwich to be tried by Mr Nevil Malkelyne, the aftronomer-royal. On trial, however, it was found to go with much lefs regularity than had been expeft- ed ; but Mr Harrifon attributed this to his having made fome experiments with it which he had not time to finifti when he was ordered to deliver up the watch. Soon after this, an agreement was made by the com¬ miflioners with Mr Kendall to conftruft a watch upon Mr Harrifon’s principles; and this upon trial was found to anfwer the purpofe even better than any that Har¬ rifon himfelf had conftrufted. This watch was fent out with Captain Cook in 1772; and during all the time of his voyage round the world in 1772, 1773, 1774, and 1775, never erred quite 14-J ieconds per day : in confequence of which, the houfe of commons, in 1774, ordered the other ic,oool. to be paid to Mr Harrifon. Still greater accuracy, however, has been attained. A watch was lately conftrufted by Mr Arnold, which, during a trial of 13 months, from February 1779 to February 1780, varied no more than 6.69" during any two days; and thq^greateft difference between its rates of going on any day and the next to it was 4.11". The greateft error it would have committed therefore in the Jongitude during any Angle day would have been very little more than one minute of longitude ; and thus might the longitude be determined with as great exaftnefs as the latitude gene¬ rally can.—This watch, however, has not yet been tried at fea. ) Thus the method of conftrufting time-keepers for difcovering the longitude feems to be brought to as great a degree of perfeftion as can well be expeftedi Still, however, as thefe watches are fubjtft to acci¬ dents, and may thus alter the rate of their going with¬ out any poffibility of a difcovery, it is neceffary that fome other method ftiould be fallen upon, in order to correft from time to time thofe errors which may arife either from the natural going of the watch, or from any accident which may happen to it. Methods of this kind are all founded upon celeftial obfervations ef fome kind or other ; and for thefe methods, or even for an improvement in time-keepers, rewards are ftill held out by government. After the difcoveries made by Mr Harrifon, the aft concerning the longitude was repealed, excepting fomuch of it as related to the conftrufting, printing, publifhing &e, of nautical al¬ manacks and other ufeful tables. It vvas enafted alio, that LON [ 223 ] LON onntude. that any perfon who fhall difcover a method for find- ing the longitude by means of a timeJceeper, the prin¬ ciples of which have not hitherto been made public, fhall be entitled to a reward of 5000I. if, after cer¬ tain trials made by the commiflioners, the faid method {hall enable a {hip to kfcep her longitude, during a voy¬ age of fix months, within 60 geographical miles, or a degree of a great circle. If the {hip keeps her longi¬ tude within 40 geographical miles for that time, the inventor is entitled to1 a reward of 7500I. and to iO,oool. if the longitude is kept within half a de¬ gree. If the method is by improved aftronomical tables, the author is entitled to 5000I. when they fliow the diftance of the moon from the fun and ftars within 15 feconds of a degree, anfwering to about 7 minutes of longitude, after allowing half a degree for errors of obfervation and under certain reftri£tions, and after comparifon with aflronomical obfervations for a period of 184- years, during which the lunar ir¬ regularities are fuppofed to be completed. The fame rewards are offered to the perfon who fliall with the like accuracy difcover any other method of finding the longitude. Thefe methods require celeftial obfervations ; and any of the phenomena, fuch as the different apparent places of ftars with regard to the moon, the beginning and ending of eclipfes, &c. will anfwer the purpofe : only it is abfolutely neceffary that fome variation fhould be perceptible in the phenomenon in the fpace of two jninutes j for even this fhort fpace of time will pro¬ duce an error of 30 miles in longitude. The moft proper phenomena therefore for determining the lon¬ gitude in this manner are the eclipfes of Jupiter’s fa- tellifes. Tables of their motions have been conftrudt- ed, and carefully corre&ed from time to time, as the mutual attraftions of thefe bodies are found greatly to difturb the regularity of their motions. The difficulty here, however, is to obferve thefe eclipfes at fea *, and this difficulty has been found fo great, that no perfon feems able to furmount it. The difficulty arifes from the violent agitation of a fhip in the ocean, for which no adequate remedy has ever yet been found, nor pro¬ bably will ever be found. Mr Chriftopher Irwin in¬ deed invented a machine which he called a marine chair, with a view to prevent the effefts of this agita¬ tion \ but on trying it in a voyage to Barbadoes, it was found to be totally ufelefs. A whimfical method of finding the longitude was propofed by Meffrs Whifton and Ditton from the re¬ port and flaft> of great guns. The motion of founcF'is known to be nearly equable, from whatever body it pro¬ ceeds or whatever be the medium. Suppofing there¬ fore a mortar to be fired at any place the longitude of which is known, the difference between the moment that the flalh is feen and the report heard will give the diftances between the two places ; whence, if we know the latitudes of thefe places, their longitudes muft alfo be known. If the exaft time of the explo- fion be known at the place where it happens, the difference of time at the place where it is heard will likewife give the difference of longitude. Let us next fuppofe the mortar to be be loaded with an iron ffiell filled with combuftible matter, and fired perpendicu- hfrly upward into the air, the ihell will be carried to tthe height of a mile, and will be feen at the diftance of 2- n'ear ICO ; whence, fuppofing neither the flafti of the Long mortar fhould be feen nor the report heard, ftill the longitude might be determined by the altitude of the {hell above the horizon. According to this plan, mortars were to be fired at certain times and at proper ftations along all frequented coafts for the direction of mariners. This indeed might be of ufe, and in ftormy weather might be a kind of improvement in lighthoufes, or a proper addition to them j but with regard to the determination of longi¬ tudes, is evidently ridiculous. We {hall now proceed to give fome pradtical direc¬ tions for finding the longitude at fea by proper ce¬ leftial obfervatio’hs ; exclufive of thofe from Jupiter’s fatellites, which, for reafons juft mentioned, cannot be praftifed at fea. In the firft place, however, it will be neceffary to point out fome of thofe difficulties which ftand in the w'ay, and which render even this method of finding the longitude precarious and uncer¬ tain. Thefe lie principally in the reduction of the ob¬ fervations of the heavenly bodies made on the furface of the earth to fimilar obfervations fuppofed to be made at the centre 5 which is the only place where the celeftial bodies appear in their proper fituation. It is alfo very difficult to make proper allowances for the refraction of the atmofphere, by which all objedts appear higher than they really are j and another difficulty arifes from their parallaxes, which make them, particularly the moon, appear lower than they would otherwife do, excepting when they are in the very zenith. It is alfo well known, that the nearer the horizon any celeftiai body is, the greater its parallax will be 5 and as the parallax and refradtion adt in oppofite ways to one another, the for¬ mer depreffing and the latter railing the objedl, it is plain, that great difficulties muft arife from this circum- ftance. The fun, for inftance, whofe parallax is lefs than the refradlion,'muft always appear higher than he really is 5 but the moon, whofe parallax is greater than her refradlion, muft always appear lower. To render obfervations' of the celeftial bodies more eafy, the commiffioners of longitude have caufed an Ephemeris or Nautical Almanack to be publiffied an¬ nually, containing every requifite for folving this im¬ portant problem which can be put into any form of ta¬ bles. But whatever may be done in this way, it will be neceffary to make the neceffary preparations concern¬ ing the dip of the horizon, the refradlion, femidiame- ters, parallax, &c. in order to reduce the apparent to the true altitudes and diftances ; for which we ffiall here fubjoin two general rules. The principal obfervation for finding the longitude at fea is that of the moon from the fun, or from fome remarkable ftar near the zodiac. To do this, the operator muft be furniffied with a watch -which can be depended upon for keeping time within a mi¬ nute for fix hours-;- and with’a good Hadley’s qua¬ drant, or, which is preferable, a fextant : and this laft inftrument will ftill be more fit for the purpofe if it be furniftied with afcrew for moving the index gradually; likewife an additional dark glafs, but not ib dark as the common kind, for taking off the glare of the moon’s light in obferving her diftance from a ftar. A fmall telefcepe, which may magnify three or four times, is - alfo neceffary to render the contaft of a ftar with the moon’s limb more difcernible. A magnifying glafs of one c LON [ 224 ] LON Longitude, one and a half or two inches focus will like wife affift * v ' the operator in reading off his obfervations w ith the greater facility. 1. To mahe the obfervatiov. Having examined and adjufted his inftrument as well as poffible, the obferver is next to proceed in the following manner : If the di¬ stance of the moon from the fun is to be obferved, turn down one of the fcreens } look at the moon direftly through the tranfparent part of the horizon-glafs ; and keeping her in view, gently move the index till the fun’s image be brought into the filvered part of that glafs. Bring the neareit limbs of both objects into contadf, and let the quadrant librate a little on the lu¬ nar ray •, by which means the fun will appear to rife and fall by the fide of the moon j in which motion the neareft limbs muft be made to touch one another exaft- ly by moving the index. Uhe obfervation is then made •, and the divifion coinciding with that on the Vernier fcale, will Show the diftance of the neareft limbs of the objects. When the diftance of the moon from a ftar is to be obferved when the moon is very bright, turn down the lighteft fcreen, or ufe a dark glafs lighter than the fcreens, and defigned for this particular purpofe ; look at the ftar dire&ly through the tranfparent part of the horizon-gafs •, and keeping it there, move the index till the moon’s image is brought into the filvered part of the fame glafs. Make the quadrant librate gently on the ftar’s ray, and the moon -will appear to rife and fall by the ftar : move the index between the librations, until the moon’s enlightened limb is exaflly touched by the ftar, and then the obfervation is made. In thefe operations, the plane of the quadrant mnft always pafs through the two obje&s, the diftanee of which is to be obferved : and for this purpofe it muft be placed in various politions according to the fituation of the objects, which will foon be rendered eafy by prac¬ tice. The obfervation being made, fomebody at the very inftant that the operator calls muft obferve by the watch the exatt hour, minute, and quarter minute, if there be no fecond hand, in order to find the apparent time j and at the fame inftant, or as quick as poffible, two affiftants muft take the altitudes of thofe objedfs the diftance of which is obferved ; after which thejjb- fervations neceffary for finding the longitude are com¬ pleted. The Ephemeris Shows the moon’s diftance from the fun, and likewife from proper ftar?, to every three hours of apparent time for the meridian of Greenwich j and that the greater number of opportunities of obferv- ing this luminary may be given, her diftance is gene¬ rally fet down from at leaft one objeft on each fide of her. Her diftance from the fun is fet down while it is between 40 and 120 degrees-, fo that, by means of a fextant, it may be obferved for two or three days after her firft and before her laft quarter. When the moon is between 40 and 90 degrees from the fun, her diftance is fet down both from the fun and from a ftar on the contrary fide : and, laftly, when the diftance is above 120 degrees, the diftance is fet down from two ftars, one on each fide of her. The diftance of the moon from objefts on the eaft fide of her is found in the Ephe- meris in the 8th and 9th pages of the month j and her diftance from objefts on the weft is Sound in the 10th d«, and iith pages of the month. . T""* When the Ephemeris is ufed, the diftance of the moon muft only be obferved from thofe ftars the di¬ ftance of which is fet down there j and thefe afford a ready means of knowing the ftar from which her di¬ ftance ought to be obierved. The obferver has then nothing more to do than to fet his index to the di¬ ftance roughly computed at the apparent time, efti- mated nearly for the meridian at Greenwich y after which he is to look to the eaft or weft of the moon, according as the diftance of the ftar is found in the 8th or 9th, or in the 10th or nth, pages of the month ; and having found the moon upon the hori¬ zon-glafs, the ftar will eafily be found by fvveeping with the quadrant to the right or left, provided the air be clear and the ftar be in the line of the moon’s ftiort- elt axis produced. The time at Greenwich is efti- mated by turning into time the fuppofed longitude from that place, and adding it to the apparent time at the (hip, or fubtrafting it from it as occafion re¬ quires. The diftance of the moon from the fun, or a Star, is roughly found at this time, by faying, As x8o minutes (the number contained in three hours) is to the difference in minutes between this nearly eftimated time and the next preceding time fet down in the Ephemeris fo is the difference in minutes between the diftance in the Ephemeris for the next preceding and next following times, to a number of minutes : which being added to the next preceding diftance, or Sub¬ tracted from it, according as it is increafing or de- creafing, will give the distance nearly at the time the obfervation is to be made, and to which the index muft be fet. An eafier method of finding the angular diftance is by bringing the objects nearly into contact in the common way, and then fixing the index tight to a certain degree and minute j waiting until the objects are nearly in contact, giving notice to the affiftants to get ready with the altitudes, and when the objects are exactly in contact to call for the altitudes and the exact time by the watch. The obferver may then prepare for taking another diftanee, by fetting his index three or four minutes backwards or forwards, as the objets happen to be receding from or approaching to each other ’y thus proceeding to take the diftance, altitudes, and time by the watch, as before. Thus the obferver may take aS many diftances as he thinks proper j but four at the diftance of three minutes, or three at the diftance of four minutes, will at all times be fufficient. Thus not only the eye of the obferver will be lefs fa¬ tigued, but he will likewife be enabled to manage his inftrument with much greater facility in every direc¬ tion, a vertical one only excepted. If in taking the diftances the middle one can be taken at any even di¬ vifion on the arch, fuch as a degree, or a degree and 20 or 40 minutes, that diftance will be independent of the Nonius divifion, and confequently free of thofe errors which frequently arife from the inequality of that divifion in feveral parts of the graduated arch. The obfervation ought always to be made about two hours before or after noon $ and the true time may bo found by the altitude of the fun taken at the precife time of the diftance. If three diftances are taken, the& LON , [ 2 Longitude, then find the time by the altitude cnrrefpnding with middle diftance ; and thus the obfervation will be ftcured from any error arifing from the irregularity of the going of the watch. As the time, however, found by the altitude of a liar cannot be depended up¬ on, becaufe of the uncertainty of the horizon in the night, the belt way of determining the time for a night obfervation will be by two altitudes of the fun j one taken on the preceding afternoon, before he is within fix degrees of the horizon j and the other on the next morning, when he is more than fix degrees high. It muft be obferved, however, that in order to follow thefe dire&ions, it is neceffary that the atmofphere fiiould be pretty free from clouds ; otherwife the ob- ferver muft take the obfervations at fuch times as he can beft obtain them. 2. To reduce the obferved D'Jlance of the Sun or a Star from the Moon to the true Diflance. I. Turn the longitude into time, and add it to the time at the fhip if the longitude be w eft, but fubtraft it if it be eaft, which will give the fuppofed time at Greenwich $ and this we may call reduced time. 2. Find the neareft noon or midnight both before and after the reduced time in the feventh page of the month in the Ephemeris. 3. Take out the moon’s femidiameter and horizontal parallaxes correfponding to thefe noons and midnights, and find their differences. Then fay, As 12 hours is to the moon’s femidiameter in 12 hours, fo is the redu¬ ced time to a number of feconds j which, either added to or fubtradled from the moon’s femidiameter at the noon or midnight juft mentioned, according as it is in- creafing or decreafing, will give her apparent femidia¬ meter ; to which add the correction from Table VIII. of the Ephemeris, and the fum will be her true femidia¬ meter at the reduced time. And as 12 hours is to the difference of the moon’s horizontal parallax in 12 hours, fo is the reduced time to a fourth number •, which, be¬ ing added to or fubtraCted from the moon’s horizontal parallax at the noon or midnight before the reduced time, according as it is increafing or decreafing, the fum or difference will be the moon’s horizontal parallax at the reduced time. 4. If the reduced time be nearly any even part of 12 hours, viz. £th, ^th, &c. thefe parts of the difference may be taken, and either added or fubtrafted according to the directions already given, without being at the trouble of working by the rule of proportion. 5. To the obferved altitude of the fun’s lower limb add the difference betw ixt his femidiameter and dip and that fum will be his apparent altitude. 6. From the fun’s refraCtion take his parallax in alti¬ tude, and the remainder will be the eorreftion of the fun’s altitude. 7. From the ftar’s obferved altitude take the dip of the horizon, and the remainder will be the apparent altitude. 8. The refraftion of a ftar will be the corredlion of its altitude. 9. Take the difference between the moon’s femidiameter and dip, and add it to the obferved altitude if her lower limb was taken, or fubtraft it if her upper limb was taken $ and the fum or difference will be the apparent altitude of her centre. 10. From the proportional logarithm of the moon’s ho¬ rizontal parallax, taken out of the nautical almanack (increafing its index by 10), take the logarithmic co- iine of the moon’s apparent altitude, the remainder will be the proportional logarithm of her parallax in alti- * Vol. XII. Part I. 25 ] LON tude ; from which take her refraCHon, and the remain- Longitude, der will be the correction of the moon’s altitude. 11. ^ To the obferved diftance of the moon from a ftar add her femidiameter if the neareft limb be taken, but tub- trad it if the fartheft limb was taken, and the fum or difference will be the apparent diftance. l 2. To the obferved diftance of the fun and moon add both their femidiameters, and the fum will be the apparent di¬ ftance of their centres. 3. To find the true D farce of the Objects, having their apparent Altitudes and D fiances. 1. To the pro¬ portional logarithm of the corredion of the tun or ftar’s altitude, add the logarithmic cofine of the fun or ftar’s apparent altitude ; the logarithmic fine of the apparent diftance of the moon from the fun or ftar j and the logarithmic cofecant of the moon’s apparent altitude. The fum of thefe, rejeding 30 from the index, will be the proportional logarithm of the firit angle. 2. To the proportional logarithm of the cor¬ redion of the fun or ftar’s altitude, add the loga¬ rithmic cotangent of the fun or ftar’s apparent alti¬ tude, and the logarithmic tangent of the apparent diftance of the moon from the fun or ftar. The fum of thefe, rejeding 20 in the index, will be the pro¬ portional logarithm of the fecond angle. 3. Take the difference between the firft and fecond angles, adding it to the apparent diftance if it be lefs than 90, and the firft angle be . greater than the fecond j but fubtrading it if the fecond be greater than the firft. If the diftance be greater than 90, the ium of the angles muft be added to the apparent diftance, which will give the diftance correded for the refrac¬ tion of the fun or ftar. 4. To the proportional lo¬ garithm of the corredion of the moon’s altitude add the logarithmic cofine of her apparent altitude j the logarithmic fine of the diftance correded for the fun or ftar’s refradion and the logarithmic cofecant of the fun’s or ftar’s apparent altitnde. The fum, rejed¬ ing 30 in the index, will be the proportional loga¬ rithm of the third angle. 5. To the proportional logarithm of the corredion of the moon’s apparent altitude, add the logarithmic cotangent of her appa¬ rent altitude, and the tangent of the diftance cor¬ reded for the fun or ftar’s refradion } their fum, re¬ jeding 20 in the index, will be the proportional lo¬ garithm of the fourth angle. 6. Fake the difference between the third and fourth angles, and fubtrad it from the diftanee correded for the fun or ftar’s re¬ fradion if lefs than 90, and the third angle be great¬ er than the fourth j or add it to the diftance if the fourth angle be greater than the third : but if the diftance be more than 90, the fum of the angles muft be fubtrad- ed from it, to give the diftance correded for the fun or ftar’s refradion, and the principal effeds of the moon’s parallax. 7. In Table XX. of the Ephemeris, look for the diftance correded for the fun and* ftar’s refradion, and the moon’s parallax in the top column, and the corredion of her altitude in the left-hand fide column ; take out the number of feconds that ftand under the former, and oppofite to the latter. Look again in the fame table for the correded diftance in the top column, and the principal effeds of the moon’s parallax in the left-hand fide column, and takeout the number of feconds. The difference between thefe two F£ numbers LON r 22*5 ] LON Longitude, numbers muft be added to the corrected diftance if lefs ■ *—— than 90, but fubtraded from it if greater j and the fum or difference will be the true diftance. 4, To determine the Longitude after having obtain~ ed the true D’Jlance.—Lock in the Ephemeris among the diftances of the objects for the computed diftance betwixt the moon and the other obje£i obferved on the given day. If it be found there, the time at Greenwich will be at the top of the column j but if it falls between two diftances in the Ephemeris which ftand immediately before and after it, and alfo the dift'erence between the difiance flanding before and the computed diftance j then take the proportional logarithms of the firft and fecond differences, and the difference between thefe two logarithms will be the proportional logarithm of a number of hours, minutes, and feconds ; which being added to the time (landing over the firft diftance, will give the true time at Green¬ wich. Or it may be found by faying, As the firft difference is to three hours, fo is the fecond difference to a proportional part of time : which being added as above direfted, will give the time at Greenwich. The difference between Greenwich time and that at the {hip, turned into longitude, will be that at the time the obfervations were made ; and will be eaft if the time at the fhip is greateft, but weft if it is lead. Having given thefe general direftions, w!e fliall next proceed to fliow fome particular examples of finding the longitude at fea by all the different methods in which it is ufually tried. 1. To find the longitude by Computation from the Ship's Courfe.—Were it poflible to keep an accurate account of the diftance the fhip has run, and to meafure it ex- * See Log, a£tly by the log * or any other means, then both lati- Ferletual. tude and longitude would eafily be found by fettling the (hip’s account to that time. For the courfe and diftance being known, the difference of latitude and departure is readily found by the Traverfe Table: and the difference of longitude being known, the true longitude and latitude will alfo be known. A variety of caufes, however, concur to render this computa¬ tion inaccurate ; particularly the fhip’s continual de- fledtion from the courfe fet by her playing to the right and left round her centre of gravity : the un¬ equal care of thofe at the helm, and the diftance fup- pofed to be failed being erroneous, on account of llormy feas, unfteady winds, currents, &c. for which it feems impoffible to make any allowance. The place of the fhip, however, is judged of by finding the la¬ titude every day, if poflible, by obfervations $ and if the latitude found by obfervation agrees with that by the reckoning, it is prefumed that the fhip’s place is properly determined 5 but if they difagree, it is con¬ cluded that the account of the longitude Hands in need of correflion, as the latitude by obfervation is always to be depended upon. Currents very often occafion errors in the compu¬ tation of a fhip’s place. The caufes of thefe in the great depths of the ocean are not well known, though many of the motions near the fhore can be accounted for. It is fuppofed that fome of thofe in the great oceans are owing to the tide following the moon, and a certain libration of the waters arifing from thence j likewife that the unfettled nature of thefe currents may be owing to the changes in the moon’s declina- 4 tion. In the torrid zone, however, a confiderable cur- Longitude, rent is occafioned by the trade winds, the motion be- ing conftanlly to the weft, at the'rate of eight or ten miles per day. At the extremities of the trade winds, or near the 30th degree of north or fouth latitude, the currents are probably compounded of this motion to the weftward, and of one towards the equator j whence all fhips failing within thefe limits ought to allow’ a courfe each day for the current. When the error is iuppofed to have been occafioned by a current, it ought if poflible to be tried whether the cafe is fo or not; or we muft make a reafonable eftimate of its drift and courfe. Then with the fet- ting and drift, as a courfe and diftance, find the dif¬ ference of latitude and departure •, with which the dead reckoning is to be increaled or diminifhed j and if the latitude thus correfled agrees with that by ob¬ fervation, the departure thus correfted may be lafely taken as true, and thus the fhip’s place with regard to the longitude determined. Exam. Suppofe a fhip in 24 hours finds, by her dead reckoning, that fire has made 96 miles of dif¬ ference of latitude north and 38 miles of departure weft ; but by obfervation finds her difference of lati¬ tude 112, and on trial that there is a current which in 24 hours makes a difference of 16 miles latitude north, and 10 miles of departure eaft : Required the fhips departure. Miles. Diff. lat. by account 96 N. Diff. lat. by current 16 N. True diff. lat. 112 Here the dead reckoning corredled by the current gives the difference of latitude 112 miles, which is the fame as that found by obfervation j whence the departure 28 is taken as the true one. When the error is fuppofed to arife from the courfes and diftances, we muft obferve, that if the difference of latitude is much more than the departure, or the diredl courfe has been within three points of the me¬ ridian, the error is moft probably in the diftance. But if the departure be much greater than the difference of latitude, or the diredl courfe be within three points of the parallel, or more than five points from the me¬ ridian, the error is probably to be aferibed to the courfe. But if the courfes in general are near the mid¬ dle of the quadrant, the error may be either in the courfe, or in the diftance, or both. This method ad¬ mits of three cafes. 1. When, by the dead reckoning, the difference of latitude is more than once and a half the departure j or when the courfe is lefs than three points : Find the courfe to the difference of latitude and departure. With this courfe and the meridional difference of la¬ titude by obfervation, find the difference of longitude. 2. When the dead reckoning is more than once and a half the difference of latitude $ or when the courfe is more than five points : Find the courfe and diftance, with the difference of latitude by obfervation, and departure by account $ then w ith the co-middle latitude by obfervation, and departure by account, find the difference of longitude. 3. When Departure by account Departure by current Miles. 38 W. 10 28 W. LON f 2i 3. When the difference of latitude and departure by account is nearly equal, or the direft courfe is be¬ tween three and five points of the meridian : Find the courfe with the difference of latitude and departure by- account fince the laft obfervation. With this courfe and the difference of latitude by obfervation find ano¬ ther departure. Take half the fum of thefe departures for the true one. With the true departure and differ¬ ence of latitude by obfervation find the true courfe 5 then with the true courfe and meridional difference of latitude find the difference of longitude. _ 2. To find the Longitude at Sea by a Variation-chart.— Dr Halley having collefted a great number of obfer- vations on the variation of the needle in many parts of the world ; by that means was enabled to draw certain lines on Mercator’s chart, (hewing the variation in all the places over which they paffed in the year 1700, at which time he firft publifhed the chart •, whence the longitude of thofe places might be found by the chart, provided its latitude and variation were given. The rule is, Draw a parallel of latitude on the chart through the latitude found by obfervation •, and the point where it cuts the curved line marked with the variation that was obferved will be the drip’s place. Exam. A (hip finds by obfervation the latitude to be 18° 20' north, and the variation of the compafs to be 40 wed. Required the (hip’s place.—Lay a ruler over 18° 2o' north parallel to the equator j and the point where its edge cuts the curve of 40 well varia¬ tion gives the (hip’s place, which will be found in about 270 xc/ wed from London. This method of finding the longitude, however, is attended with two inconveniences. 1. That when the variation lines run eatl or wed, or nearly fo, it cannot be applied *, though as this happens only in certain parts of the world, a variation chart may be of great ufe for the red. Even in thofe places indeed where the varia¬ tion curves do run eall or wed, they may be of con- fiderable ufe in corre&ing the latitude when meridian obfervations cannot be had •, which frequently happens on the northern coads of America, the Wedern ocean, and about Newfoundland ; for if the variation can be found exadlly, the ead and wed curve anfwering to it will (how the latitude. But, 2. The variation itfelf is fubjeft to continual change \ whence a chart, though ever fo perfeft at firff, mud in time become totally ufe- lefs ; and hence the charts conftrufted by Dr Halley, though of great utility at their fird publication, became at length almod entirely ufelefs. A new one was pub- lithed in 1746 by Meffrs Mountaine and Dodfon, which was fo well received, that in 1756^ they again drew variation lines for that year, and publillred a third chart the year following. They alfo prefented to the Royal Society a curious paper concerning the variation of the magnetic needle, with a fet of tables annexed, con- taing the refult of more than 50,000 obfervations, in fix periodical reviews from the year 1700 175^ clufive, adapted to every five degrees of latitude and longitude in the more frequented oceans j all of which were publifhed in the Philofophical Franfaftions for 1757. _ ' 3, To find the Longitude by the Sun's Declination.-— Having made fuch obfervations on the fun as may enable us to find his declination at the place, take the difference between this computed declination and that 7 ] LON drown at London by the Ephemeris j from which take ^ong: alfo the daily difference of declination at that time j then fay, as the daily difference of declination is to the above found difference, fo is 360 degrees to the dif¬ ference of longitude. In this method, however, a fmall error in the declination will make a great one in the longitude. 4. To find the Longitude by the Moon's culminating.— Seek in the Ephemeris for the time of her coming to the meridian on the given day and on the day follow¬ ing, and take their difference ; alfo take the difference betwixt the times of culminating on the fame day as found in the ephemeris and as obferved j then fay, as the daily difference in the ephemeris is to the difference between the ephemeris and obfervation } fo is 360 de¬ grees to the difference of longitude. In this method alfo a fmall difference in the culmination will occafion a great one in the longitude. 5. By Edipfes of the Moon.—This is done much in the fame manner as by the eclipfes of Jupiter’s fatel- lites: For if, in two or more diftant places where an eclipfe of the moon is vifible, we carefully obferve the times of the beginning and ending, the number of di¬ gits eclipfed, or the time when the (hadowr touches fome remarkable fpot, or when it leaves any particular fpot on the moon, the difference of the times when the ob¬ fervations were made will give the difference of longi¬ tude. Phenomena of this kind, however, occur too feldom to be of much ufe. 6. In the 76th volume of the Philofophical Tranf- adlions, Mr Edward Pigot gives a very particular ac¬ count of his method of determining the longitude and latitude of York ; in which he alfo recommends the method of determining the longitude of places by obfervations of the moon's tranfit over the meridian. The inftruments ufed in his obfervations were a gridiron pendulum clock, a two feet and a half refleftor, an eighteen inch quadrant made by Mr Bird, and a tranfit inftrument made by Mr Siffon. By thefe inftruments an obfervation was made, on the 10th of September 1783, of the occultation of a ftar of the ninth magnitude by the moon, during an eclipfe of that planet, at York and Paris. Befides this, there were obfervations made of the immerfions of p Aquarii and 5 Pifcium; the refult of all which was, that between Greenwich and York the difference of meridians was 4' 27"* In 1783, Mr Pigot informs us, that he thought of finding the difference of meridians by obferving the meridian right afcenfions of the moon’s limb. This he thought had been quite original : but he found it after¬ wards in the Nautical Almanack for 1769, and in 1784 read a pamphlet on the fame fubjeft by the abbe Toaldo •, but (till found that the great exaflnefs of this method was not fufpe&ed 5 though he is convinced that it muft foon be univerfally adopted in preference to that from the firft fatellite of Jupiter. After giving a number of obfervations on the fatel- lites of Jupiter, he concludes, that the exaftnefs ex¬ pelled from obfervations, even qn the firft latellite, is much overrated. “ Among the various objections (fays he), there is one I have often experienced, and which proceeds folely from the difpofition of the eye, that of feeing more diftinftly at one time than another. It may not be improper alfo to mention, that the obfer- F f 2 .»• vation LON [ J*ongitudfe. vation I (hould ha\e relied on as the heft, that of i Auguft 30. 1785, marked excellent, is one of thofe moft: diftant from the truth.” After giving a number of obfervations on the eclipfe of the moon September 10. 1783, our author concludes, that the eclipfes of the moon’s Ipots are in general too much neglefted, and that it might be relied upon much more were the following circumftances attended to: I. To be particular in fpecifying the clearnefs of the 228 ] LON attended to, the refults would be undoubtedly much Longitude, more exadl. v—-v'—^ “ 1. Compare the obfervations with the fame made in feveral other places. 2. Let feveral and the fame ftars be obferved at thefe places. 3. Such liars as ar« neareft in right afcenlion and declination to the moon are infinitely preferable. 4. It cannot be too ftrongly urged, to get, as near as polhble, an equal number of obfervations of each limb, to take a mean of each fet, leave no helitation as to the part eclipfed. 3. That every obferver fhould ufe, as far as poflible, telefcopes equally powerful, or at leaft let the magnifying powers be the fame. “ A principal objection (fays he) may ilill be urged, viz. the difficulty of diftinguilhing the true fhadow from the penumbra. Was this obviated, I believe the refults would be more exa£l than from Ju¬ piter’s firft fatellite : Undoubtedly the ftiadow appears better defined if magnified little ; but I am much in¬ clined to think, that, with high magnifying pov;ers, there is greater certainty of drooling the fame part of the ffiadow, wffiich perhaps is more than a fufficient compenfation for the lofs of diftindlnefs.” The following rule for meridian obfervations of the moon’s limb is next laid down : “ The increafe of the moon’s right afeenfion in twelve hours (or any given time found by computation) is to 12 hours, as the increafe of the moon’s right afeenfion between two places found by obfervation is to the difference of me¬ ridians. Example. November 30. 1782. k. *3 , fecond limb 13 13 29.0$ Ditto of u rtji 12 57.62 Meridian tranlit of moon's") -p , , . r j 1* 1 ■ -DV CiOCK. Iponnrl IimK v * i Greenwich. Iky. 2. To choofe fuch fpots as are well defined, and and then a mean of both means. This will in a great meafure correct the error of telefcopes and light. 5. The adjuftment of the telefcopcs to the eye of the obferver before the obfervation is alfo very neceffary, as the fight is fubjedt to vary. 6. A principal error proceeds from the obfervation of the moon’s limb, which may be confiderably leffened, if certain little round fpots near each limb were alfo obferved in fettled obfervatories ; in which cafe the libration of the moon will perhaps be a confideration. 7. When the differ¬ ence of meridians, or of the latitudes of places is very confiderable, the change of the moon’s diameter be¬ comes an equation. “ Though fuch are the requifites to ufe this method with advantage, only one or two of them have been em¬ ployed in the obfervations thsit I have reduced. Two- thirds of thefe obfervations had not even the fame liars obferved at Greenwich and York j and yet none of the refults, except a doubtful one, differ 15" from the mean j therefore I think we may expedl a ftill greater exadtnefs, perhaps within jg", if the above particulars be attended to. “ When the fame ftars are not obferved, it is necef¬ fary for the obfervers at both places to compute their right afeenfion from tables, in order to get the appa¬ rent right afeenfion of the moon’s limb. Though this is not fo fatisfa&ory as by a£lual obfervation, ftill the difference will be trifling, provided the liar’s right afeenfions are accurately fettled. I am alfo of opi¬ nion, that the fame method can be put in practice by travellers with little trouble, and a tranfit inlfrument, conftru£led fo as to fix up with facility in any place. It is not neceffary, perhaps, that the inftrument ffiould be perfectly in the meridian for a few feconds of time* provided ftars, nearly in the fame parallel of declina¬ tion with the moon, are obferved nay, I am inclined to think, that if the inftrument deviates even a quarter or half a degree, or more, fufficient exaftnefs can be attained 5 as a table might be computed, Ihowing the moon’s parallax and motion for fuch deviation \ which laft may eafily be found by the well-known method of obferving ftars whofe difference of declination is con¬ fiderable. “ As travellers very feldom meet with fituations to obferve liars near the pole, or find a proper obje£l for determining the error of the line of collimation, I lhall recommend the following method as original.— Having computed the apparent right afeenfion of four, fix, or more ftars, which have nearly the fame parallel of declination, obferve half of them with the inftrument inverted, and the other half when in its right pofitinn. If the difference of right afeenfions between each fet by obfervation agrees with the com¬ putation, there is no error 5 but if they difagree, half that difagreement is the error of the line of collima¬ tion. The fame obfervations may alfo ferve to deter¬ mine;, 31.46 Difference of right afeenfion. 13 14 8.05 Meridian tranfit of moon’s fecond limb 13 14 30.13 Ditto of * 1 By clock at York. 32.08 Difference at York 31.46 Difference at Greenwich, "| The clocks going near- 9.38 Increafe of the moon’s ap- »fidereal ^ J . • y . r time.nocor- parent right afeenfion between Greenwich and York, by obfervation. time, no cor¬ rection isre- quired. I4iw in feconds of a degree, ditto, ditto, ditto. The increafe of the moon’s right afeenfion for 12 hours, by computation, is 23,340 feconds j and 12 hours re¬ duced into feconds is 43,200. Therefore, accord¬ ing to the rule Hated above, 23,340" : 43,200": diff. of merid — 261" “ Thefe eafy obfervations and ffiort reduction (fays Mr Bigot) are the whole of the bufinefs. Inilead of computing the moon’s right afeenfion for 12 hours, I have conftantly taken it from the Nautical Alma¬ nacks, which give it fufficiently exaCt, provided fome attention be paid to the increafe or decreafe of the moon’s motion. Were the s. following circumftances LON [ 229 ] LON mine, whether the diftances of the correfponding wires are equal. In cafe of neceflity, each limb of the fun might be obferved in the fame manner, though proba¬ bly with lefs precifion. By a fingle trial I made above two years ago, the refult was much more exadl than I expcfted. Mayer’s catalogue of ftars will prove of great ufe to thofe that adopt the above method.—I am rather furprifed that the immerfions of known ftars of the lixth and feventh magnitude, behind the dark limb of the moon, are not conftantly obferved in fixed obfervatories, as they would frequently be of great ufe.” The annexed rule for finding the (hip’s place, with the mifcellaneous obfervations on different methods, were drawn up by Mr John M‘Lean of Edinburgh. 1. With regard to determining the (hip’s place by the help of the courfe and diftance failed, the following rule may be applied.—It will be found as expeditious as any of the common methods by the middle latitude or meri¬ dional parts; and is in fome refpefts preferable, as the common tables of lines and tangents only are requi- fite in applying it.—Let a and b be the diftances of two places from the fame pole in degrees, or their com¬ plete latitude ; c the angle which a meridian makes with the rhumb line palling through the places-, and L the angle formed by their meridians, or the difference of longitude in minutes: then A and B being the lo¬ garithmic tangents of 4 tf, and 4^, th*5 fine °f C, an(l S the fine of we (hall have the following e- quation: L = (a). Alfo, from a well known o -O property ©f the rhumb line, we have the following equation : S-f-E=R-f-D, where S is the logarithmic cofine of C, E the logarithm of the length of the rhumb line, or diftance, D the logarithm of the minutes difference of latitude, and R the logarithm of the radius. By the help of thefe two equations, we (hall have an eafy folution of the feveral cafes to which the middle latitude, or meridional parts, are commonly ap¬ plied. Exam. A (hip from a port in latitude 56° N. fails S. W. by W. till (he arrives at the latitude of 40° N: Required the difference of longitude ? Here 0=34°, £=50°> C=S^° A=9-48534r B=9.56107, S'orq.9199308, 8=9.9198464 j there¬ fore, --^^^=897 the minutes differ- 8'—S 844 *' ence of longitude. Alfo, 8=9.74474, 0=2.98227; therefore E=R-j-D—8=3.23753, to which the na¬ tural number is 1728, the miles in the rhumb line fail¬ ed over. 2. The common method of finding the difference of longitude made good upon feveral courfes and di¬ ftances, by means of the difference of latitude and de¬ parture made good upon the feveral courfes, is not ac¬ curately true. For example : If a (hip (hould fail due fouth 600 miles, from a port in 6o° north latitude, and then due weft 600 miles, the difference of longitude found by the common methods of folution would be 1053 ; whereas the true difference of longitude is only 933, lefs than the former by 120 miles, which is more than one-eighth of the whole. Indeed every confiderable alteration in the courfe will produce a very fenfible error in the dif¬ ference of longitude. Though, when the feveral rhumb lines failed over are nearly in the fame direction, the error in longitude will be but fmall. The reafon of this will eafily appear from the annexed figure, in which the (hip is fuppofed to fail from Z to A, along the rhumb lines ZB, BA; for if the meri¬ dians PZ,PkoeBL be drawn ; and very near the latter other two meridians PhD, Pmn ; and likewife the pa¬ rallels of latitude Bn, De, mo, hk ; then it is plain that De is greater than hk, (for De is to hk as the fine of DP to the fine of hP) : and fince this is the cafe everywhere, the departure correfponding to the diftance BZ and courfe BZC, will be greater than the departure to the diftance oZ and courfe oZC. And in the fame manner, we prove that nB is greater than mo; and confequently, the departure correfpond¬ ing to the diftance AB, and courfe ABL, is greater than the departure to the diftance Ao, and courfe AoL. Wherefore, the fum of the two departures cor¬ refponding to the courfes ABL and BZC, and to the diftances AB and BZ, is greater than the departure correfponding to the diftance AZ and courfe AZC : therefore the courfe anfwering to this fum as a de¬ parture, and CZ as a difference of latitude, (AC be¬ ing the parallel of latitudes pafling through A), will be greater than the true courfe AZC made good upon the whole. And hence the difference of longitude found by the common rules will be greater than the true difference of longitudes ; and the error will be greater or lefs according as BA deviates more or lefs from the dire&ion of BZ. ■P 3. Of determining the (liipVlongitude by lunar ob¬ fervations. Several rules for this purpofe have been lately pub- liftied, the principal objeft of which feems to have been to (a) Aco B fignifies the difference between A and B,« LON [23 jUngitule. tin abbreviate the computations requiiite for determin- *.,■ >r—jng tjje true diflance 0f the fun or ftar from the moon’s centre. This, however, Ihould have certainly been lefs attended to than the inveftigation of a folution, in ■which confiderable errors in the data may produce a fmall error in the required diftance. When either of the luminaries has a fmall elevation, its altitude will be affe61ed by the variablenefe of the atmofphere ; likewife the altitude, as given by the quadrant, will be affefled by the inaccuracy of the inftrument, and the uncertainty neceflarily attending all obfervations made at fea. The fum of thefe errors, when they all tend the fame way, may be fuppofed to amount to at lead one minute in altitude •, which, in many cafes, according to the common rules for computing the true diftance, will produce an error of about 30 minutes in the longitude. Thus, in the example given by Monf. Callet, in the Tables Portative*, if we fuppofe an error of one minute in the fun’s altitude, or call it 6® 26' 34", inftead of 6° 27' 34" ; we fhall find the alteration in diftance according to his rule to be 54", producing an error of about 27 minutes in the longitude •, for the angle at the fun will be found, in the fpherical triangle whofe fides are the complement of the fun’s altitude, complement of the moon’s altitude, and obferved di¬ ftance, to be about 26° j and as radius is to the cofine of 26°, fo is 16 the fuppofed error in altitude, to 54" the alteration in diftance. Perhaps the only method of determining the diftance, fo as not to be affe&ed by the errors of altitude, is that by firft finding the angles at the fun and moon, and by the help of them the cor- re&ions of diftance for parallax and refra£Hon. The rule is as follows : Add together the complement of the moon’s appa¬ rent altitude, the complement of the fun’s apparent al¬ titude,Jand the apparent diftance of centres ; from half the fum of thefe fubtraft the complement of the fun’s altitude, and add together the logarithmic cofecant of the complement of the moon’s altitude, the loga¬ rithmic cofecant of the apparent diftance of centres, the logarithmic fine of the half fum, and the logarith¬ mic fine of the remainder •, and half the fum of thefe four logarithms, after reje&ing 20 from the index, Cofec. 0.025x2 *’s co. alt. 70° 42' ])’s co. alt. 34 4-— Cofec.——0.11479——obf.dift. 50 9 2)i54 55 Sine 9.98950 — 77 27— Rem. 6 45— o ] LON is the logarithmic cofine of half the angle at the Longitude, moon. As radius is to the cofine of the angle at the moon •, fo is the difference between the moon’s parallax and refratftion in altitude to a corre£Hon of diftance j which is to be added to the apparent diftance of centres when the angle at the moon is obtufe ; but to be fubtradfed when that angle is acute, in order to have the diftance once corredled. In the above formula, if the word fun be changed for moon, and vice verfa, wherever thefe terms occur, we fhall find a fecond correftion of diftance to be applied to the diftance, once corre&ed by fubtra&ion when the angle at the fun is obtuf'e, but by addition when that angle is acute, and the remainder or fum is the true diftance nearly. In applying this rule, it will be fufficient to ufe the complement, altitude, and apparent diftances of cen¬ tres, true to the neareft minute only, as a fmall error in the angles at the fun and moon will very little affeft the corrections of diftances. If D be the computed diftance in feconds, d the difference between the moon’s parallax and refraCHon in altitude, S the fine of the angle at the moon, and will be the third correction 2 DR of diftance, to be added to the diftance twice correct¬ ed : But it is plain from the nature of this correction, that it may be al ways rejected, except when the diftance D is very fmall, and the angle at the moon nearly equal to 90°. This folution is likewife of ufe in finding the true diftance of a ftar from the moon, by changing the word fun intoy?///*, andufing the refraCtion of the ftar, inftead of the difference between the refraCtion and parallax in the altitude of the fun, in finding the fecond correc¬ tion of diftance. Ex. Given the obferved diftance of a ftar from the centre of the moon, 50° 8' 41" ; the moon’s altitude, 55° 5%' 5” > th® liar’s altitude, 190 18' 5" j and the moon’s horizontal parallax, i° 0' 5" : Required the tru« diftance. ■Cofec. 0.25169 .Cofec ■Sine—9.98950 ■Sine 9.07018 Sine—9.83688 Rem. 43 23 2)19.42616 2)19.96629 - — Cofec. 9.71308—-—58° 54* Cofec. 9-98314 150 54' 2 117 48= 5’s angle. 31 48=:*’$ angle. Rad. Cofec. 1170 48' : : D’s diff. parall. & refraCt. 1980" : 923'/ =r ift correCt. of diftance. Rad. : Cofec.. 310 48' : : ftar’s refraCt. 162" : 138"=: 2d correCt, of diftance. Here LON [2 Longitude Here the firft corre&ion of diftance is additive, II fince the angle at the moon is obtufe ; and the fe- Lcngue- coni;j corrt;(^ion is alfo additive, fince the angle at the _V1 e' ftar is acute: therefore their fum 923"-f i38"=:io6r" = 17'41", being added to 50° 8' 41", the apparent diltance of the ftar from the moon’s centre, gives co° 26' 21" for the true difiance of centres nearly ;— and 2XL (d-J-S)—L (2 L. R-J-h* 2-}-L D)~L S', which, being added to the diftance twice correfted, gives 50° 26' 29" for the true diftance. By compar¬ ing this diftance with the computed diftances in the ephemeris, the time at Greenwich correfponding to that of obferving the diftance will be known ; and the difference of thofe times being converted into degrees and minutes, at the rate of 15 degrees to the hour, will give the longitude of the place of obfervation ; which will be eaft if the time at the place be greater than that at Greenwich, but weft if it be lefs. LONGITUDINAL, in general, denotes fomething placed lengthwife : thus feme of the fibres in the vel- fels of the human body are placed longitudinally, others tranfverfely or acrofs. LONGOBARDI. See Lombards. LONGOMONTANUS, Christian, a learned a- fironomer, born in a village of Denmark in 1562. He was the fon of a ploughman ; and was obliged to fuffer during his ftudies all the hardlhips to which he could be expofed, dividing his time, like the philofopher Cle- anthes, between the cultivation of the earth and the leffons he received from the minlfter of the place. At laft, when he was 15, he ftole away from his family, and went to Wiburg, where there was a college, in which he fpent 11 years j and though he was obliged to earn a livelihood, he applied himftlf to ftudy with fuch ardour, that among other fciences he learned the mathematics in great perfection. He afterwards went to Copenhagen •, where the profeffbrs of that univerfity in a fhort time conceived fo high an opinion of him, that they recommended him to the celebrated Tycho Brahe. Longomontanus lived eight years with that famous aftronomer, and was of great fervice to him in his obfervations and calculations. At length, being extremely defirous of obtaining a profeffor’s chair in Denmark, Tycho Brahe confented, though with fome difficulty, to deprive himfelf of his fervice ; gave him a difcharge, filled with the higheft teftimonies of his efteem •, and furniffied him with money for the expence of his long journey. He obtained a profefforfhip of mathematics in the univerfity of Copenhagen in 1605 *, and difcharged the duty of it worthily till his death, which happened in 1647. He wrote many learned works 5 amufed himfelf with endeavouring to fquare the circle, and pretended that he had made that difcovery ; but Dr John Pell, an Engliffi mathematician, attack¬ ed him warmly on that fubjeft, and proved that he was miftaken. LONGTOWN, a town of Cumberland, on the Scots borders, near the conflux of the Elk and Kirk- fop, 9 miles from Carlifle, and 313 miles from Lon¬ don •, it has a market on Thurfday, and a charity fchool for 60 children. The population in 1801 was eftimated at 1313. LONGUEVILLE, a town of France, in the de¬ partment of Lower Seine, and in the territory of Caux, 31 ] LOO feated on the fmall river Lee, 17 miles north of Rouen. Longue- It has the title of a duchy. E. Long. T. 10. N. Lat. v^x 49. 46. Lool. LONGWY, a town of France, in the department of y— Mofelle, with a caltle, divided into the old and new towns. This laft was built and fortified by Louis XTY. It is feated on an eminence. It was taken by the king of Pruffia in 1792, but retaken two months after. E. Long. 5. 58. N. Lat. 49. 32. LONG US, a Greek fophift, author of a book en¬ titled napwiK*, or Paftorals, or a romance containing the loves of Daphnis and Chloe. Huetius, bilhop of ikvranches, fpeaks very advantageoully of this work j but he cenfures the obfcene touches with which it is in- terfperfed. None of the ancient authors mention him, fo that the time when he lived cannot be certainly fixed. There is an Englilh tranflation of this author, which is- afcribed to Mr J. Crag^s, once fecretary of ftate. LONICERA, Honeysuckle, a genus of plants be¬ longing to the pentandria clafs. See Botany Index. LONSDALE, or Kirkby LONSDALE, a town of Weftmoreland, feated on the river Lon, in a pleafant and rich valley of the fame name. It is a large well built town, has a handfome church, and a fine Hone bridge over the river. It is well inhabited j and is the bell town in the county except Kendal. It gives title of earl to the Lowther family. W. Long. 2. 27. N. Lat. 54. 10. LOO, a tow n of the United Provinces, in Guelder- land, eight miles weft of Deventer, where the prince of Orange has a fine palace. E. Long. 6. o. N. Lat. 52. 18. LOOP, the after part of a ftfip’s bew ; or that part of her fide forward where the planks begin to be ineur- vated into an arch as they approach the Item. Look, or Lnjf. See Luef. LOOK-OUT, in the fea-language, a watchful at-, tention to fome important objeft or event which is ex¬ pelled to ariie from the prefent fituation of a Ihip, &c. It is principally ufed in navigation when there is a probability of danger from the real or fuppofed proxi¬ mity of land, rocks, enemies, and, in fliort, whatever peril flie may encounter through inattention, which might otherwife have been avoided by a prudent and: neceffary vigilance. There is always a look-out kept on a (hip’s fore- caftle at fea, to watch for any dangerous objects lying near her track, and to which (be makes a gradual ap¬ proach as (he advances: the mate of the watch accord¬ ingly calls often from the quarter-deck, “ Look out afore there !” to the perfons appointed for this fervice. LOOKING-glasses, are nothing but plain mir¬ rors of glafs, which, being impervious to the light* refleft the images of things placed before them. See the articles MiRROR and Optics. For calling, grinding, and poliffiing looking-glaffes* fee the article Glass. For foliating looking-glaffes, fee the article Fo¬ liating. LOOL, in Metallurgy, a velfel made to receive the waffiings of ores of metals. The heavier or more me¬ talline parts of the ores remain in the trough in which they are waffied j the lighter and more earthy run off with the water, but fettle in the lool, LOOM,. LOR [ 232 ] LOR LOOM, the weaver’s frame j a machine whereby feveral diftin£l threads are woven into one piece. Looms are of various ftruftures, accommodated to the various kinds of materials to be woven, and the va¬ rious manner of weaving them ; viz. for woollens, filks, linens, cottons, cloths of gold, and other works, as tapeftry, ribbands, dockings, &c. divers of which will be found under their proper heads. See Weaving. The weaver’s loom-engine, otherwife called the Dutch loom-engine, was brought intoufe from Holland to London, about the year 1676. Heir-LOOM, in Law. See HEIR-Loom. Loom, at fea. If a (hip appears big, when at a didance, they fay die looms, or appears a great fail: the term is alfo ufed to denote the indidinft appear¬ ance of any other didant objefts. LoOM-gale, at fea, a gentle eafy gale of wind, in which a diip can carry her top-fails a-trip. LOOP, in the iron works, is a part of a fow or block of cad iron broken or melted off from the red, and prepared for the forge or hammer. The ufual method is, to break off the loop of about three quar¬ ters of a hundred weight. This loop they take up with their dinging-tongs, and beat it with iron dedges upon an iron plate near the fire, that fo it may not fall to pieces, but be in a condition to be carried un¬ der the hammer. It is then placed under the hammer, and a little water being drawn to make the hammer move but foftly, it is beat very gently, and by this means the drofs and foulnefs are forced off j and after this they draw more and more water by degrees, and beat it more and more till they bring it to a four-fquare mafs, of about two feet long, which they call a bloom. LOOPING, in Metallurgy, a word ufed by the miners of fome counties of England, to exprefs the running together of the matter of an ore into a mafs, in the roafting or firft burning, intended only to cal¬ cine it fo far as to make it fit for powdering. This accident, which gives the miners fome trouble, is ge¬ nerally owing to the continuing the fire too long in this procefs. LOOSE-strife. See Lysimachia, Botany 7/raVx. LOPEZ de vega. See Vega. Lopez, or Indian Root, in the Materia Medico. The plant to which this article belongs ’"s unknowm. Neither the woody nor cortical part of the root has any remarkable fenfible quality. A flight bitternefs is perceptible; and it is recommended, like fimarouba, in diarrhoeas even of the colliquative kind, in half¬ dram dofes four times a-day. Little of this root has been brought to Europe ; but fome of thofe who have had an opportunity of employing it, fpeak in very high terms of the effefts obtained frqm it. LOPHIUS, Fishing-frog, Toad-fjh, or Sea devil; a genus of the branchioftegous order of fifties. See Ichthyology Index. LOHANTHUS, a genus of plants belonging to the hexandria clafs, and in the natural method ranking un¬ der the 481 h order, Aggregatce. See Botany Index. LORARH, among the Romans, officers whofe bufmefs it was, with w'hips and fcourges, to compel the gladiators to engage. The lorarii alfo punifhed Raves who difobeyed their matters. LORD, a title of honour given to thofe who are noble either by birth or creation. In this fenfe, it amounts to much the fame as peer of the realm, or Lord. ' lord of parliament. The title is by courtefy alfo given v*'*" \ 1 -J to all the Ions of dukes and marquifes, and to the eldetl fons of earls : and it is alfo a title of honour be- ftowed on thofe who are honourable by their employ¬ ments ; as lord advocate, lord chamberlain, lord chan¬ cellor, b’c. The word is Saxon, but abbreviated from two fyllables into one; for it was originally Hlaford, which by dropping the afpiration became Laford, and afterwards by- contraction Lord. “ The etymo¬ logy of the word (fays J. Coates) is well worth ob- ferving; for it was compofed of hlaf “ a loaf of bread,” and ford, “ to give or afford ;” fo that Hla¬ ford, now Loi'd, implies “ a giver of bread ;” becaufe, in thofe ages, fuch great men kept extraordinary houfes, and fed all the poor ; for which reafon they were called givers of bread, a thing now much out of date, great men being fond of retaining the title, but few regarding the practice for which it was firit given. See Lady. Houfe of LORDS, one of the three eftates of parlia¬ ment, and compofed of the Lords Spiritual and Tem¬ poral. 1. The Spiritual Lords confift of two archbiftiops and 24 biftiops; and, at the diffolution of monafteries by Henry VIII. confifted likewife of 26 mitred abbots and two priors; a very confiderable body, and in thofe times equal in number to the temporal nobility. All thefe hold, or are fuppofed to hold, certain ancient baronies under the king : for William the Conqueror thought proper to change the fpiritual tenor of frank- almoign or free alms, under which the biftiops held their lands during the Saxon government, into , the feodal or Norman tenure by barony; which fubje£led their eftates to all civil charges and affeffments, from which they were before exempt; and in right of fuc- ceflion to thofe baronies, which were unalienable from their refpeftive dignities, the bilhops and abbots were allowed their feats in the houfe of lords. But though thefe lords fpiritual are in the eye of the law a diftinft eftate from the lords temporal, and are fo diftinguiftied in moft of our afts of parliament; yet in practice they are ufually blended together under the name of the lords; they intermix in their votes, and the majority of fuch intermixture joins both eflates. And from this want of a feparate affembly, and feparate negative of the prelates, fome writers have argued very cogently, that the lords fpiritual and temporal are now' in reality only one eftate : which is unqueftionably true in every ef- feftual fenfe, though the ancient diftinftion between them ftill nominally continues. For if a bill ihould pafs their houfe, there is no doubt of its validity, though every lord fpiritual ftiould vote againft it; of which Selden and Sir Edward Coke give many in- ftances; as, on the other hand, doubtlefs it would be equally good, if the lords temporal prefent were infe¬ rior to the bilhops in number, and every one of thofe temporal lords gave his vote to rejtft the bill; though this Sir Edward Coke feems to doubt of, 2. The Temporal Lords confift of all the peers of the realm (the biftiops not being in ftrij as do all ancient peers; fome by creation, as do allbMty, new LOR [23 Lord, new made ones ; others, fifice the union with Scotland, by eleftion, which is the cafe of the 16 peers who reprefent the body of the Scots nobility. Their num¬ ber is indefinite, and may be increafed at will by the power of the crown : and once* in the reign of ^)ueen Anne, there was an inftance of creating no lefs than 12 together 5 in contemplation of which, in the reign of King George I. a bill paffed the houfe of lords, and was countenanced by the then miniftry, for limiting the number of the peerage. This was thought by fome to promife a great acquifition to the conflitution, hy reftraining the prerogative from gaining the afcen- dant in that auguil affembly, by pouring in at plea- fure an unlimited number of new-created lords. But the bill was ill reliflied, and mifcarried in the houfe of commons, whofe leading members were then defirous to keep the avenues to the other houfe as open and eafy as pomble. The diftin&ion of ranks and honours is neceffary in every well governed ftate ; in order to rev'ard fuch as are eminent for their fervices to the public, in a manner the moft defirable to individuals, and yet w ithout burden to the community *, exciting thereby an ambitious yet laudable ardour and generous emulation in others. And emulation, or virtuous ambition, is a fpring of a&ion which, how’ever dangerous or invidious in a mere repu- hlic or under a defpotic fway, will certainly be attended with good effedls under a free monarchy'^ where, with¬ out deftroying its exiftence, its exceffes may be conti¬ nually reftrained by that fuperior power from which all honour is derived. Such a fpirit, when nationally diffufed, gives life and vigour to the community j it fets all the wheels of government in motion, which, under a wife regulator, may be directed to any bene¬ ficial purpofe} and thereby every individual may be made fubfervient to the public good, while he prin¬ cipally means to promote his own particular views. A body of nobility is alfo more particularly neceffary in our mixed and compounded conftitudon, in order to i’upport the rights of both the crown and the people, by forming a barrier to withlland the encroachments of both. It creates and preferves that gradual fcale of dignity which proceeds from the pealant to the prince ; rifing like a pyramid from a broad founda¬ tion, and diminilhing to a point as it rifes. It is this afcending and contra£ling proportion that adds liabi¬ lity to any government 5 for when the departure is hidden from one extreme to another, we may pro¬ nounce that ftate to be precarious. The nobility therefore are the pillars, which are reared from among the people, more immediately to fupport the throne *, and, if that falls, they mull alfo be buried under its ruins. Accordingly, when in the laft cen¬ tury the commons had determined to extirpate mo¬ narchy, they alfo voted the houfe of lords to be ufelefs and dangerous. And fince titles of nobility are thus expedient in the ftate, it is alfo expedient that their owners Ihould form an independent and feparate branch of the legiflature. If they were confounded with the mafs of the people, and like them had only a vote in eledling reprefentatives, their privileges would foon be borne dowm and overwhelmed by the popular torrent, which would effeftually level all diftin6fions. It is therefore highly neceffary that the body of nobles ftiould have a diftimfl affembly, difthuSt deliberations, Vol. XII. Part I. 3 ] LOR and diftinft powers from the commons. See alfo KlKG, Nobility, Parliament, Commons, and Common- Lor”tto ALTY. _ , V As to the peculiar laws and cuftoms relating to the houfe of lords : One very ancient privilege h that de¬ clared by the charter of the foreft, confirmed in parlia¬ ment 9 Hen. III. 5 viz. that every lord fpiritual or temporal lummoned to parliament, and pafirng through the king’s forefts, may, both in going and returning, kill one or twm of the king’s deer without warrant ; in view of the forefter if he be prefent, or on blowing a horn if he be abfent ; that he may not feem to take the king’s venifon by health. In the next place, they have a right to be attended, and conftantly are, by the judges of the court of kino’s bench and common pleas, and fuch of the barons of the exchequer as are of the degree of the coif, or have been made ferjeants at law j as likewiie by the king’s learned counfel, being ferjeants, and by the mafters of the court of chancery ; for their ad¬ vice in point of law, and for the greater dignity of their proceedings. rIhe fecretaries of ftate, with the attorney and folicitor general, were alfo tiled to attend the houfe of peers, and have to this day (together with the judges, &c.) their regular writs of fummons iffued out at the beginning of every parliament, adtrac- tandum et conjiliutn impendendum, though not ad confen- tiendum, but, whenever of late years they have been members of the houfe of commons, their attendance here hath fallen into difufe. Another privilege is, that every peer, by licenfe obtained from the king, may make another lord of parliament his proxy, to vote for him in his ablence : A privilege, which a member of the other houfe can by no means have, as he is himfelf but a proxy for a multitude of other people. Each peer has alfo a right, by leave^ of the houfe, when a vote paffes contrary to his fentiments, to en¬ ter his diffent on the journals of the houfe, with the reafons for fuch diffent; which is ufually ftyled his proteft. All bills likewife, that may In their confequences any way affedl the rights of the peerage, are by the cuftom of parliament to have their firft rife and beginning in the houfe of peers, and to fuffer no changes or amend¬ ments in the houfe of commons. There is alfo one ftatute peculiarly relative to the. houfe of lords-, 6 Ann. c. 23. which regulates the election of the 16 reprefentative peers of North Britain, in confequence of the 22d and 23darticles of the Union : and for that purpofe prefcribes the oaths, &c. to be taken by the electors ; diredts the mode of balloting j prohibits the peers eledting from being attended in an unufual manner ; and exprefsly provides, that no other matter (hall be treated of in that affembly, fave only the eledtion, on pain of incurring a praemunire. See alfo the articles Nobility and Peers. LORDOSIS, (of bent inwards'), in the me¬ dical writings, a name given to a diftempered ftate of the fpine, in which it is bent inwards, or towards the anterior parts. It is ufed in oppofition to gibbous, or hump backed. See Surgery. LORETTO, a town of Italy, in the Marca or Marche of Ancona, with a bilhop’s fee. It is fmall but fortified ; and contains the famous cafa fanta, or G g holy LOR [ 234 ] LOR Lorctto. holj cliapel, fo much vifited by pilgrims. This cha- pelj according to the legend, was originally a fmall houfe in Nazareth, inhabited by the virgin Mary, in which fhe was faluted by the angel, and where fhe bred our Saviour. After their deaths, it was held in great veneration by all believers in Jefus, and at length confecrated into a chapel, and dedicated to the Virgin $ upon which occafion St Luke made that identical image, which is Hill preferved here, and dignified with the name of our Lady of Loretto. This fanftified edifice was allowed to fojourn in Galilee as long as that diltrift was inhabited by Chriftians j but when infidels got poffeffion of the country, a band of angels, to fave it from pollution, took it in their arms, and conveyed it from Nazareth to a caftle in Dalmatia. This raft might have been called in queftion by incredulous people, had it been performed in a fecret manner j but, that it might be manifeft to the moft Ihort-lighted fpeftator, and evident to all who were not perfeftly deaf as well as blind, a blaze of celeftial light, and a concert of divine mufic, accompanied it during the whole journey ; befides, when the angels, to reft them- felves, fet it down in a little wood near the road, all the trees of the foreft bowed their heads to the ground, and continued in that refpeftful pofture as long as the facred chapel remained among them. But not having been entertained with fuitable refpeft at the caftle above mentioned, the fame indefatigable angels carried it over the fea, and placed it in a field belonging to a noble lady called Lauretta, from whom the chapel takes its name. This field happened unfortunately to be fre¬ quented at that time by highwaymen and murderers : a circumftance with which the angels undoubtedly wdre not acquainted when they placed it there. After they were better informed they removed it to the top of a hill belonging to two brothers, where they imagined it would be perfeftly fecure from the dangers of rob¬ bery or affaflination ; but the two brothers, the pro¬ prietors of the ground, being equally enamoured of their new vifitor, became jealous of each other, quar¬ relled, fought, and fell by mutual wounds. After this fatal cataftrophe, the angels in waiting finally moved the holy chapel to the eminence where it now ftands, and has flood thefe 400 years, having loft all relilh for travelling. The facred chapel ftands due eaft and weft, at the farther end of a large church of the moft durable ftone of Illria, which has been built around it. This may be confidered as the external covering, or as a kind of great coat to the cafa fanta, w’hich has a fmaller aoat of more precious materials and workmanthip nearer its body. This internal covering, or cafe, is of the choiceft marble, after a plan of San Savino’s, and ornamented with baffb relievos, the workmanlhip of the beft fculptors which Italy could furnifli in the reign of Leo X. The fubjeft of thefe balfo relievos are the hiftory of the Bleffed Virgin, and other parts of the Bible. The whole cafe is about 50 feet long, 30 in breadth, and the fame in height: but the real houfe itfelf is no more than 32 feet in length, 14 in breadth, and at the fides about 18 feet in height j the centre of the roof is four or five feet higher. The walls of this little holy chapel are compofed of pieces of a reddifh fubftance, of an oblong fquare ftiape, laid one upon another, in the manner of brick. At firft fight, on a fuperficial view, thefe red-coloured oblong fubftahces Loretto. appear to be nothing elfe than common Italian bricks: and, which is ftill more extraordinary, on a fecond and third view, with all poflible attention, they ftill have the fame appearance. Travellers, however, are alfured with great earneftnefs, that there is not a fingle par¬ ticle of brick in their w’hole compofition, being entire¬ ly of a ftone, which, though it cannot now be found in Paleftine, was formerly very common, particularly in the neighbourhood of Nazareth. The holy houfe is divided within into two unequal portions, by a kind of grate-work of lilver. The di- vifion towards the weft is about three-fourths of the whole j that to the eaft is called the San&uary. In the larger divifion, which may be confidered as the main body of the houfe, the walls are left bare, to ftiow the true original fabric of Nazareth ftone j for they muft not be fuppofed to be bricks. At the lower or weftern wall there is a window, the fame through which the angel Gabriel entered at the An¬ nunciation. The architraves of this window' are co¬ vered wdth filver. There are a great number of gold¬ en and filver lamps in this chapel : one of the former, a prefent from the republic of Venice, is faid to weigh 37 pounds, and fome of the filver lamps weigh from 120 to 130 pounds. At the upper end of the largeft: room is an altar, but fo low, that from it you may fee the famous image which ftands over the chimney in the fmall room or fanftuary. Golden and filver angels, of confiderable fize, kneel around her, fome offering hearts of gold, enriched with diamonds, and one an infant of pure gold. The tvall of the fanc- tuary is plated with filver, and adorned with cruci¬ fixes, precious ftones, and votive gifts of various kinds. The figure of the Virgin herfelf by no means corre- fponds with the fine furniture ©f her houfe : She is a little woman, about four feet in height, with the fea¬ tures and complexion of a negro. Of all the fculp¬ tors that ever exifted, affuredly St Luke, by whom this figure is faid to have been made, is the leaft of a flatterer \ and nothing can be a ftronger proof of the Bleffed Virgin’s contempt for external beauty than her being fatisfied with this reprefentation of her. The figure of the infant Jefus, by St Luke, is of a piece w'ith that of the Virgin : he holds a large, golden globe in one hand, and the other is extended in the aft of blefling. Both figures have crowns on their heads, en¬ riched with diamonds: thefe were preferits from Ann of Auftria, queen of France. Both arms of the Vir¬ gin are enclofed within her robes, and no part but her face is to be feen •, her drefs is moft magnificent, but in a wretched bad tafte : this is not furprifing, for Ihe has no female attendant. She has particular clothes for the different feafts held in honour of her, and, w hich is not quite fo decent, is always dreffed and Undreffed by the priefts belonging to the chapel j her robes are ornamented with all kinds of precious ftones down to the hem of her garment. There is a fmall place behind the fanftuary, in which are fhown the chimney, and fome other furni¬ ture, which they pretend belonged to the Virgin when Ihe lived at Nazareth j particularly a little earthen porringer, out of which the infant ufed to eat. The pilgrims bring rofaries, little crucifixes, and agnus dei’s, which the obliging prieft (hakes fox half a mi¬ nute j. o p. r s.is.] . t- .° R. dilli •, after which it is believed they ac- begin a hymn in honour of the Virgin, which they nute in this .......... v. -rv-asr quire the virtue of curing various difeafes, and prove an excellent preventive of all temptations of Satan. The gown which the image had on when the chapel arrived from Nazareth is of red camblet, and carefully kept in a glafs (hrine. Above IQO maffes are daily faid in this chapel, and in the church in which it hands. The jewels and riches to be feen at any one time in the holy chapel are of a fmall yalue in comparifon of thofe in the trea- fury, which is a large room adjoining to the veftry of the great church. In the preffes of this room are kept thpife prefents which royal, noble, and rich bigots of all ranks, have, by oppreiTmg their fubje&s and injuring their families, fent to this place. To enume¬ rate every particular would fill volume?. They confift of various utenfils and other things in filver and gold j as lamps, candlefticks, goblets, crowns, an,d crucifixes •, lambs, eagles, faints, apoilles, angels, virgins, and infants : then there are cameos, pearls, gems, and pre¬ cious hones, of all kinds and in great numbers. What is valued above all the other jewels is, the miraculous pearl, wdierein they affert that Nature has given a faith¬ ful delineation of the Virgin fitting on a cloud with the infant Jefus in her arms. There y as not room in the preffes of the treafury to hold all the filver pieces which had been prefented to the Virgin. Several other preffes in the veilry are completely full. It is faid that thofe pieces are occafionally melted down by bis holinefs for the ufe of the ftate : and alfo that the moft precious of the jewels are picked out and fold for the fame purpofe, falfe fton.es being fubftituted in their room. Pilgrimages to Loretto are not fo frequent with fo¬ reigners, or with Italians of fortune and diftindtion, as formerly •, nineteen out of twenty of thofe who make this journey now are poor people, who depend for their maintenance on the charity they receive on the road. To thofe who are in fuch a rank in life as precludes them from availing themfelves of the cha¬ ritable inftitutions for the maintenance of pilgrims, fuch journeys are attended with expence and inconve- niency j and fathers and hulbands, in moderate or con¬ fined circumftances, are frequently brought to difagree- able dilemmas, by the rafh vows of going to Loretto which their waves or daughters are apt to make on any fuppofed deliverance from danger. To refufe, is con- fidered by the wdiole neighbourhood as cruel, and even impious *, and to grant, is often highly diftreffmg, par¬ ticularly to fuch hufbands as, from affedlion or any other motives, do not cboofe that their wives ftiould be long out of their fight. But the poor, who are maintained during their whole journey, and have no¬ thing more than a bare maintenance to expeft from their labour at home, to them a journey to Loretto is a party of pleafure as well as devotion, and by much the moft agreeable road they can take to heaven. The greateft concourfe of pilgrims is at the feafons of Eafter and Whitfuntide. The rich travel in their carriages : A greater number come on horfeback or on mules j or, what is ftill more common, on affes. Great num¬ bers of females come in this manner, with a male friend walking by them as their guide and protestor : but the greateft number of both fexes are on foot. The pilgrims on foot, as foon as they enter the fuburbs, Loretto. continue till they reach the church. The poorer fort are received into an hofpital, where they have bed and board for three days. The only trade of Loretto ccnfifts of rofaries, cru¬ cifixes, little madonas, agnus dei’s, and medals, which are manufadlured here, and fold to pilgrims. There are great numbers of (hops full of thefe commodities, fome of them of a high price ; but infinitely the greater part are adapted to the purtes of the buyers, and fold for a mere triile. The evident poverty of thofe manufacturers and traders, and of the inhabitants of this town in general, is a fufticient proof that the reputation of our Lady of Loretto is greatly on the de¬ cline. In the great church which contains the holy chapel are confeffionals, where the penitents from every coun¬ try of Europe may be confefftd in their owrn language, priefts being always in waiting for that purpofe : each of them has a long white rod in his hand, with w hich he touches the heads of thofe to whom he thinks it proper to give abfolution. They place themfelves on their knees in groupes around the confeffional chair j and when the holy father has touched their heads with the expiatory rod, they retire, freed from the burden of their fins, and with renewed courage to begin a frefli account. In the fpacious area before this church there is an elegant marble fountain, fupplied with water from ap adjoining hill by an aquedudf. Few' even of the moft; inconfiderable towns of Italy are without the ufeful ornament of a public fountain. The embellifhments of fculpture and architefture are employed with great propriety on fuch works, which are continually in the people’s view ; the air is refreftied and the eye delight¬ ed by tbe ftreams of water they pour forth j a fight peculiarly agreeable in a warm climate. In this area there is alfo a ftatue of Sixtus V. in bronze. Over the portal of the church itfelf is a ftatue of the Vir¬ gin ; and above the middle gate is a Latin infeription, importing that within is the houfe of the mother ef God, in which the Word w-as made flelh. The gates of the church are likewife of bronze, embelliflied with baffo relievos of admirable workmanftnp : the fubje&s taken partly from the Old and partly from the New Teftament, and divided into different compartments. As the gates of this church are (hut at noon, the pil¬ grims who arrive after that time can get no nearer the fanta cafa than thefe gates, which are by this means fometimes expofed to the firft violence of that holy ar¬ dour which was defigned for the chapel itfelf. All the fculpture upon the gates which is within reach of the mouths of thofe zealots, is in fome degree effaced by their kiffes. There are alfo feveral paintings to be feen here, fome of which are highly efteemed, particularly two in the treafury. The fubje£l of one of thefe is the Virgin’s Nativity, by Annibal Caracci ; and of the other, a Holy Family by Raphael. There are fome others of confiderable merit which ornament the altars of the great church. Thefe altars, or little chapels, of which this fabric contains-a great number, are lined with marble and embelliflied by fculpture ; but nothing within this church interefts a traveller of fenfibility fo much as the iron grates before thofe chapels, which G g 2 were L' O R t 236 ] LOR were made of the fetters and chains of the Chriftian {laves, who were freed from bondage by the glorious viftory of Lepanto. The palace where the governor refides {lands near the church, and the ecclefiallics who are employed in it lodge in the fame palace, where they receive the pilgrims of high diftin&ion. The environs of this town are very agreeable, and in fine weather the high mountains of Croatia may be feen from hence. It is ieated on a mountain, in E. Long. 13. 50. N. Lat. 43- 24' LORICA, was a cuirafs, brigantine, or coat of mail, in ufe among the Roman foldiers. It was gene¬ rally made of leather, and is fuppofed to be derived from lorum.—The loricae were fet with plates of metal in various forms: fometimes in hooks or rings like a chain, fometimes like feathers, and fometimes like the fcales of ferpents or fifties, to which plates of gold were often added. There were other lighter cuiraffes confiding only of many folds of linen cloth, or of flax made llrong enough to refift weapons. Such foldiers as were rated under IOOO drachms, inftead of the lorica now defcribed, wore a peElorale.—The Roman lorica was made like a fhirt, and defended the wearer both before and behind, but was fo contrived that the back part could be occafionally feparated from the front. Some of the loricae were made of cords of hemp or flax, clofe fet together } whence they are called thoraces, bi/ices, trilices, &c. from the number of the cords fixed one upon another \ but thefe were ufed rather in hunt¬ ing than in the field of battle. LORIS, in Zoology. See Lemur, Mammalia Index. LORIMERS, one of the companies of London, that make bits for bridles, fpurs, and fuch like fmall iron ware. They are mentioned in ftatute 1 Rich. II. c. 12.—The word feems derived from the Latin word lorum, “ a thong.” LORME, Philibert de, one of the moll celebra¬ ted architedls in the 16th century, w'as born at Lyons, (^ueen Catherine de Medicis gave him the fiiperintend- ance of buildings ; and he had the direftion of thofe of the Louvre, the Thuilleries, the caftle of St Anet, St Germains, and other edifices erefled by her orders. He alfo wrote feveral books on archite&ure. He died about the year 1577. LORNE, a divifion of ArgylHhire in Scotland, which gives the title of marquis to the duke of Argyll. It extends above 30 miles in length from north to fouth, and about nine at its utmoft breadth } bounded on the eaft by Braidalbin j on the weft by the iflandsj on the north by Lochaber j and is divided from Knap- dale on the fouth by Loch Etive, on the banks of which ftands the caftle of Beregonium, wherein the courts of juftice were anciently held. Ihis diftrifr, abounding with lakes, is the moft pleafant and fertile part of Argyllfture, producing plenty of oats and barley. It once belonged to the ancient family of Macdougal, ftill refiding on the fpot j but devolved to the lords of Argyll in confequence of a marriage with the heirefs, at that time a branch of the Stuart family. The chief place of note ill this diftritt is the caftle of Dunftaffnage, a feat of the ScottHh kings previous to the conqueft of the Pidls in 843 by Kenneth II. In this place was long preferved the famous ftone, the pal- I ladium of North Britain ; brought, fays legend, out of Lome. Spain, where it was firft ufed as a feat of juftice by Gathelus, coeval with Mofes. It continued here as the coronation chair till the reign of Kenneth II. who re¬ moved it to Scone, in order to fecure his reign $ for, according to the infcription, Ni fallal fatum, Scoti quocunque localum, Invenient lapidem, regnare teneuntur ibidem. Some of the ancient regalia were preferved till the pre- fent century, when the keeper’s fervants, during his infirm years, embezzled them for the filver ornaments; and left only a battleaxe, nine feet long, of beautiful workmanlhip, and ornamented with filver. The caftle is fquare; the infide only 87 feet^ partly ruinous, party habitable. At three of the corners are round towers; one of them projects very little. The entrance is towards the fea at prefent by a ftair- cafe, in old times probably by a drawbridge, which fell from a little gateway. The mafonry appears very ancient; the tops battlemented. This pile is feated on a rock at the mouth of Loch Etive, whofe waters expand within to a beautiful bay, where {hips may fafely ride in all weather. Of this building, the found¬ er of which is unknown, nothing remains except the outer walls, which, though rooflefs, are ftill in good order; and within which fome buildings have been erefted, which ferve as the refidence of the laird. The duke of Argyll is hereditary keeper under the crown.—At a fmall diftance from the caftle is a ruined chapel, once an elegant building j and at one end an enclofure, a family cemetery. Oppofite to thefe is a high precipice, ending abrupt, and turning fuddenly towards the fouth-eaft. A perfon concealed in the re- eefs of the rock, a little beyond the angle, furprifes friends ftationed at fome diftance beneath the precipice with a very remarkable echo of any word, or even fen- tence, he pronounces 5 which reaches the laft diftinft and unbroken. The repetition is Angle, but remark¬ ably clear. In 1307, this caftle was poffeffed by Alexander Macdougal lord of Argyll, a friend to the Englifti : but was that year reduced by Robert Bruce, when Macdougal fued for peace with that prince, and was received into favour. We find, about the year 1455, this to have been a refidence of the lords of the illes j for here James laft earl of Douglas, after his defeat in Annandale, fled to Donald, the Regulus of the time, and prevailed on him to take arms and carry on a plundering war againft his monarch James II. The fituation, of this regal feat was calculated for pleafure as well as ftrength. The views of mountains, valleys, waters, and iflands, are delightful. On the north fide of Loch Etive flood the town of Berego¬ nium, fuppofed to have been the capital of the Weft Highlands. It feems from certain mounds, excava¬ tions, and other appearances, to have been a ftrong fortrefs, to prevent invafion, or to fecure a retreat, as occafions might require. On the bank of the fame loch is the fite of Ardchattan, a priory of monks of Vallifcaullium in Burgundy, founded in 1230 by Donald Maccoul, anceftor of the Macdougals of Lome. Here Robert Bruce, who remained mafter of this country before he got entire poffeflion of Scotland, held a par- ' liameal LOT [ 237 ] LOT Uaxnent or council.—The country abounds in Druidical, Danift, and other monuments. LORRAIN, a fovereign Rate of Europe, bounded on the north by Luxemburg and the archbiihopric of Treves, on the eaft by Alface and the duchy of Deux Fonts, on the fouth by Tranche Compte, and on the weft by Champagne and the duchy of Barr. It is about 100 miles in length, and 75 in breadth ■, and abounds in all forts of corn, wine, hemp, flax, rape-feed, game and filh, with which it carries on fome trade, and in general all the neceffaries of life. There are fine mea¬ dows and large forefts, with mines of iron, iilver, arid copper, as alfo fait pits. There are a great number of rivers; of which the principal are the Maefe or Meufe, the Mofelle, the Scille, the Meure, and the Sarre. It is divided into three parts •, the duchy of Lorrain, pro¬ perly fo called, which was heretofore a fovereign ftate ; the duchy of Barr, which formerly belonged to the dukes of Lorrain, but afterwards came under the go¬ vernment of France ^ and the third comprehends the three bilhoprics of Metz, Toul, and Verdun, which have belonged to France ever fince the year 1552. .In 1733, the emperor of Germany being at war with France, this laft got poffeflion of the duchy of Lor¬ rain : and when there was a peace made in 1735,. it was agreed, that Staniflaus king of Poland, father-in- law to the king of France, ftiould pofiefs thefe duchies, and that after his death they Ihould be united for ever to the crown of France. It was alfo then agreed, that Francis Stephen, duke of Lorrain, and the emperor’s fon-in-law, (hould have the grand duchy of Tufcany as an equivalent for Lorrain. After the death of the great duke of Tufcany, in 1737, King Staniflaus and the duke of Lorrain took poffeflion of their refpe&ive do¬ minions, and the ceflion was confirmed and guaran¬ teed by a treaty in 1738. The trade confifts in corn and linen cloth. Nanci is the capital town. Lorrain, Robert /i/io- J nacea. See Botany Index. Lotus of Homer. See Diospyros,-) Egyptian Lotus. See Nymph^ea, (Botany Libyan LOTUS. See Rhamnus, ( Index. LOVAGE. See Ligusticum, J LOVE, in a large fenfe of the word, denotes all thofe offeftions of the pleafmg kind which objects and incidents raife in us ; thus we are faid to love not only intelligent agents of morally good difpofitions, but alfo fenfual pleafures, riches, and honours. But Love, in its ufual and more appropriate fignification, may be defined, “ that affe£tion which, being com¬ pounded of animal delire, efteem, and benevolence, be¬ comes the bond of attachment and union between indi¬ viduals of the different fexes 5 and makes them feel in the fociety of each other a fpecxes of happinefs which they experience no where elfe.” We call it an affec¬ tion rather than a pajjion, becaufe it involves a defire of the happinefs of its objefl : And that its conftituent parts are thofe which have been juft enumerated, we lhall firft endeavour to prove, and then proceed to trace its rife and progrefs from a felfilh appetite to a generous fentiment. Animal defire is the aftual energy of the fenfual ap¬ petite : and that it is an effential part of the complex affeftion, which is properly called love, is apparent from this confideration, that though a man may have fentiments of efteem and benevolence towards women who are both old and ugly, he never fuppofes himfelf to be in love of any woman, to whom he feels not the fenfual appetite to have a ftronger tendency than to other individuals of her fex. On the other hand, that animal defire fl/c/ze cannot be called the affeftion of love is evident; becaufe he who gratifies fuch a defire with¬ out efteeming its objeft, and wilhing to communicate at the fame time that he receives enjoyment, loves not the w’oman, but himfelf. Mere animal defire has nothing in view but the fpecies and the fex of its objedf ; and before it make a fele£fion, it muft be combined with fentiments very different from itfelf. The firft fenti¬ ment with which it is combined, and by which a man is induced to prefer one woman to another, feems to be that by which we are delighted with gracefulnefs of perfon, regularity of features, and beauty of com¬ plexion. It is not indeed to be denied that there is fomething irrefiftible in female beauty. The moft fe- Vere will not pretend that they do not feel an imme¬ diate prepoffeflion in favour of a handfome woman : but this prepoffeflion, even when combined with ani¬ mal defire, does not conftitute the whole of that af- fe&ion which is called love. Savages feel the influ¬ ence of the fenfual appetite, and it is extremely pro¬ bable that they have fome ideas of beauty ; but among lavages the affeftion of love is feldom felt. Even among the lower orders of civil fociety it ftems to be a very grofs paffion, and to have in it more of the felfilhnefs of appetite than of the generofity of efteem. To Love. 59 1 L O V thefe obfervations many exceptions will no doubt be found (a) : but we fpeak of favages in general, and of the great body of the labouring poor, who in the choice of their mates do not ftudy—who indeed are incapable of ftudying, that reftitude of mind, and thofe delicacies of fentiment, without which neither man nor woman can deferve to be efteemed. In the favage ftate, and even in the firft ftages of refinement, the bond of union between the fexes feems to confift of nothing more than mere animal defire and inftinflive tendernefs for their infant progeny. The former impels them to unite for the propagation of the fpecies j and the latter preferves the union, till the children, who are the fruit of it, be able to provide for their own fubfiftence. That in fuch unions, whe¬ ther cafualor permanent, there is no mutual efteem and benevolence, is apparent from the ftate of fubjeflion in which women are held in rude and uncultivated na¬ tions, as well as from the manner in which marriages are in fuch nations contrafted. Sweetnefs of temper, a capital article with us in the female charadfter, difplays itfelf externally in mild looks and gentle manners, and is the firft and perhaps the moft powerful inducement to love in a cultivated mind. “ But fuch graces (fays an ingenious writer*) * Sketches are fcarce difcernible in a female favage; and even0/the Hif- in the moft poliftied woman would not be perceived by a male favage. Among favages, ftrength and bold- nefs are the only valuable qualities. In thefe, females are miferably deficient; for which reafon they are con¬ temned by the males as beings of an inferior order. The North American tribes glory in idlenefs : the drudgery of labour degrades a man in their opinion, and is proper for women only. To join young perfons in marriage is accordingly the bufinefs of the parents ; and it would be unpardonable meannefs in the bride¬ groom to fhow tiny fondncfs for the bride. In Guiana a woman never eats with her htjband, but after every meal attends him with water for wafliing ; and in the Caribbee iflands the is not even permitted to eat in the prefence of her hutband. Dampier obferves in general, that among all the wild nations with which he was ac¬ quainted, the women carry the burdens, while the men walk before and carry nothing but their arms ; and that women even of the higheft rank are not better treated. In Siberia, and even in Ruflia, the capital excepted, men till very lately treated their wives in every refpett like Haves. It might indeed be thought, that animal defire, were there nothing elfe, fhould have raifed women to fome degree of eftimation among men ; but male favages, utter ftrangers to decency and refine¬ ment, gratify animal defire with as little ceremony as they do hunger or thirft. “ Hence it was that in the early ages of fociety a man purchafed a woman to be his wile, as one purchafes an ox or a flieep to be food ; and valued her only as Ihe contributed to his fenfual gratification. Inllances innumerable might be coilefted from every nation of which we are acquainted with ihe early hiftory ; but (a) Sucb as the negroes vhofe ftory is fo pathetically told by Addifon in N° 215. of the Spectator ; the twro lovers who were killed by lightning at Staunton-Harcourt, Auguft 9. C^ee PopPs Letters); and many others which will occur to every reader.. L O V [ Love, we Avail content ourfelves with mentioning a few. 24O A- ] L O V $ 1 Sam xviii. 2S. § Lib. ix. braham bought Rebekah, and gave her to his fon Ifaac *Gen.xxiv. for a wife*. Jacob having nothing elfe to give, ferved f Gen.xxix. Laban 14 years for two wivesf. To David, demand¬ ing Saul’s daughter in marriage, it was faid, ‘ The king defireth not any dowry, but an hundred forefkins of the PhiliftinesJ.’ In the Iliad Agamemnon offers his daughter to Achilles for a wife 5 and fays that he would not demand for her any price §. By the laws of Ethelbert king of England, a man who committed adultery with his neighbour’s wife was obliged to pay | Sed. 32. the hufband a fine, and to buy him another But it is needleis to multiply in fiances j the practice has prevailed univerfally among nations emerging from the lavage Hate, or in the ludefl flage of iociety : and •wherever it prevailed, men could not poflibly have for the fair fex any of that tender regard and eileem which eonftitute fo effential a part of the complex affection of love. Accordingly we find the magnanimous Achilles an abfolute ftranger to that generous affe£tion, though his heart was fufceptible of the warmed and pureft friend- Ihip. His attachment to Patroclus was fo heroically difinterefted, that he willingly facrificed his own life to revenge the death of his friend j but when Agamemnon threatened to rob him of his favourite female captive, though he felt the infult offered to his pride, he never fpoke of the woman but as a Jlave whom he was con¬ cerned to preferve in point of honour, and as a teftimo- ny of his glory. Hence it is that we never hear him mention her but as his fpoil, the reward of war, or the jgft which the Grecians gave him. “ And dar’ft thou threat to fnatch mf'prixe away, “ Due to the deeds of many a dreadful day ? “ A pri%e as fmall, O tyrant! match’d with thine, “ As thy own a£lions if compar’d with mine. “ Thine in each conqueft is the wealthy prey, “ Tho’ mine the fweat and danger of the day. “ Some trivialprefent to my fhips I bear, “ Or barren praifes pay the wounds of war.” And again, after upbraiding the general with his ty¬ ranny and want of regard to merit, he adds, with the greateft indifference as to the charms of the woman, “ Seize on Brifei's, whom the Grecians doom’d “ My prize of war, yet tamely fee refurn'd; “ And feize fecure j no more Achilles draws “ His conquering fword in any woman’s caufe. “ The gods command me to forgive the pad , “ But let this firft invqfion be the laft : “ For know, thy blood, when next thou dar’ft invade, u Shall ftream in vengeance on my reeking blade.” Pope has made the language of this rough warrior lefs inconfiftent with the peculiar refentment natural to an injured lover than it is in the original (b) j but from the laft quoted paffage, even as tranflated by him, it is apparent that Achilles would have been equally hurt had Agamemnon threatened to deprive him of any other part of his plunder. Accordingly he yields up Brifeis, not in grief for a miftrefs whom he lofes, but in fullennefs for an injury that is done him. Nor let it be imagined, that this coldnefs proceeded from the pride of the hero, which would not permit him to acknow'- ledge his love of a captive. With the generous affec¬ tion of love captives and princeffes were equally inca¬ pable of infpiring him. He repeatedly affirmed indeed that he delighted in his fair Lyrneffian fteve, but it was only as an inftrument of fenfual gratification •, for as to every thing elfe in a woman, he was fo totally indiffer¬ ent, that he declared he would not, w-hen he ffiould be difpofed to marry, give himfelf the trouble to make a choice, but leave the whole matter to his father. “ If heav’n reftore me to my realms with life, “ The rev’rend Peleus (hall eledt my wife.” Even Agamemnon, of whom Pope and Madame Da- cier think more favourably as a lover, fpeaks the very fame language when mentioning his favourite captive Chryfeis. In his furious debate with Achilles he calls her indeed— “ A maid, unmatch’d in manners as in face, “ Skill’d in each art, and crown’d with ev’ry grace.” And adds, “ Not half fo dear were Clytemneftra’s charms, “ When firft her blooming beauties bleft my arms.” But this was faid merely to enhance the value of the prize, which for the public good he was about to re- fign •, for that Ihe was dear to him only as miniftering to his pleafure, is paft difpute from the language which he had previoufly held with her father, as well as from his requiring grateful Greece to pay a juft equivalent, and to repair his private lofs. A man who really loves w ould have thought nothing an equivalent for the objett of his love ; much lefs would he have infinuated to her father (b) The original paffages are : Kttt pet yegies ast/laj ccpceigync-ffeei ctTruXu?, *£1 i7n ttoAA’ i/AO'/vrct, ^oa-xv [tot wtj AftcittoV. Ov [tiv a-ot Troll to-ov i%a ottttot Afcxtot Tgawv ixTrigtrAT tvvxioftiyoy ttIo^ii^ov. AXAa to [tut Trtetov Trohvxtitos Troteptoto Xu^is i/ttxt dtiTrcvT' xrxg >)» Troh (ixtrftts itcrilxt, Xot to yi[x^ TroXv [tit^ov, lyo) oXtyov Ti tytXov Tl ’E^oft nst Vi)«S5j ITCW xiKXfAU TToMpt^ay. Iliad, lib. i. And, AXAo Tot i[iM, tv S’ evi ye [tx^o-oftxt, unux kov^s, Ovti cot, otfh tu xXXu, ittu [t xipiterfa yt SaiHej. T«v x pot itrlt ion irx^x m Tut ovk m* Tt n>wn : it is watered by feveral fmail rivers which fall into the fea j and its fuuth frontiers are watered by the river Boyne. Its chief towns are Dundalk and Carlingford; unlefs we include Drogheda, a part whereof is in this county. It is the fmalled county in the kingdom •, but very fertile and pleafant, and abounding with many remains of antiquities, of which Mr Wright, in his Louthiana, has given a very ample defeription. It contains 111,180 Irilh plantation acres, 50 parifhes, five baronies, and five boroughs *, and formerly returned 10 members to the Irilh parliament: it is about 22 miles long, and 14 broad. Louth, a town in the above county, having a yearly fair. LOUVAIN, a city in the Auftrian Netherlands, in the province of Brabant, pleafantly feated on the river Dyle, in a plentiful and agreeable country. The walls are about eight or nine miles in circumference j but they include feveral fields and vineyards. I he callle Hands on a high hill, furrounded with fine gar¬ dens, and has a charming profpedt all over the country. This town contains nine market places, 14 water-mills, 126 llreets, 16 Hone bridges, and feveral handiome palaces. The town-houfe is a venerable old building, adorned with Hatues on the outfide ; and the churches are very handfome, particularly the collegiate church of St Peter •, but the principal ornament is the univer- fity, founded only in 1426 by John I\ . duke of Brabant, with the concurrence of Pope Martin V. It contains about 40 colleges, four of w-hich are called Pedagogia. There is in the number alfo an Englilh college of friars- preachers, which owes its eHablifhment to the liberali¬ ties of Cardinal Philip Howard, brother to the duke of Norfolk, who, before he was raifed to the purple, had been private chaplain to Qyieen Catherine, con- fort to Charles II. ”1 he IriHr have likewiie a femi- nary, erected in part under the care of Eugenius Mat- theus, titular archbifhop of Dublin, anno 1623, which receives its appointments from the Propaganda at Rome. Befides the above, there are two convents for the Irifh, one of Recollefts and the other of Domini¬ cans, where divinity and the mathefis are taught. In the lafl century the number of fcholars exceeded 4000 5 but in the year 1744 the inhabitants amounted to 12,000, including 2000 fludents only.—At the beginning of the 14th century, under John III. it flouriihed con- fiderably in the manufacture of woollen cloth : 400 houfes were then occupied by fubHantial clothiers, who gave employment to an incredible numoer of weavers, fo great, it is faid, that a bell w as rung to prevent any injuries which the children in the Hreet might receive from the crowd and hurry on their returning from work. In 1382, thefe weavers, however, took up arms, and rebelled againH their fovereign Prince Wenceflaus, throwing from the windows of the town hall 17 °f the aldermen and counfellors, and afterwards proceeded to lay waHe great part of Brabant; but being befieged and reduced to great extremities, they fubmiflively implored his clemency j which was granted after the execution of fome of the principal ringleaders. The weavers, the chief inftigators to this revolt, were baniflied, the greater part of whom took refuge in England 5 where they firH introduced, or at leaH augmented very much, the woollen manufacture. I he 4 7 ] L O W town, by this circumHance, being almoft depopulated, ^cu',a‘u the uniyerfity was eftablifhed to fupply in fome meafure Low_bept the lofs of. the rebellious clothiers'. Since that time _ v ; the manufacture gradually declined, no cloth of any account being made there at prefent. This impolitic Hep of the duke Wenceflaus fent treafures to England, through the hands of thefe exiled people : an import¬ ant ItiTbn to governors, that they Humid deal with great precaution refpeCting fuch uieful members of the community. Upon the ruins of thefe looms was form¬ ed the cloth manufacture of Limbourg, which is. car¬ ried on with good advantage to this day. ihere is yet Handing at Louvain part of the old drapers-hall, now converted into four public fchools, where ItCtures in divinity, pjjilofophy, law, and phyfic, are given, and the public a£ts are made. Adjoining to the fchools is the univerfity library, which altogether coinpofe a large pile of building. Over the door of the chief entrance we read thele words, Sopuntia cedijicavit Jibi dotnum. The principal church is collegiate, dedicated to St Peter, which had formerly three very large towers with elevated fpires, one conHderably higher than the two collaterals j thefe were blown down in the year recorded by this chronogram, oMnla CaDVnt. Irom the name of this church, the burghers have acquired the nickname of Peter men, whofe anceHors having clothed the back by a noble woollen manufacture, the modern Petermen now compofe an ignoble mixture for the belly, called after them Peterman beer, a fort of whitifli muddy ale, which they notwilhHanding fend in large quantities to all parts of the country, as well as to Holland, by the canals. Louvain was anciently the capital of the province, long before Bruffels had any claim to that title. It was taken by the French in ] 792, afterwards lod, and retaken in 1794* 4. 40. N. Lat. 51. 12. LOUYS, or Louis, John, an engraver of confider- able eminence, who flourifhed about the middle of the 16th century. According to Bafan he was a native of Flanders. He learned the art of engraving from Peter Soutman, at the time that Suyderhoef ftudied under the lame mafler j and his ufual flyleof engraving bears fome refemblance to that of his mafler’s. One of his befl prints is Diana, with her nymphs, repefing after the chafe, a middling-fized plate, lengthwiie, from Rubens. LOW-BELL, in birding, a name given to a bell, by means of which they take birds in the night,, in open champaign countries, and among Hubble, in Octo¬ ber. The method is to go out about nine, o’clock at night in a Hill evening, when the air is mild and the moon does not Hvine. Ihe low-bell Ihould be of a deep and hollow found, and of fuch a fize that a man may conveniently carry it in one hand. The perfon who - carries it is to make it toll all the way he goes, as nearly as may be, in that manner in which the bell on the neck of a flieep tolls as it goes on and feeds. There mufl alfo be a box made like a. large lanthorn, about a foot fquare, and lined with tin, but with one fide open. Two or three great lights are to be fet in this; and the box is to be fixed to the perfon’s breaft, with the open fide forwards, fo that the light may be cafi forward to a great diflance. It will fpread as it goes out of the box 5 and will difiimftly fhow to the per¬ fon that carries it whatever there is in the large fpace Low-beil II Lower. [ O W of ground over which it extends, and confequently all the birds that rooft upon the ground# Two perfons muft follow him who carries the box and bell, one on each fide, fo as not to be within the reach of the light to (how themfelves. Each of thefe is to have a hand- net of about three or four feetfquare, failenedto a long flick or pole; and on whichever fide any bird is feen at rooft, the perfon who is neareft is to lay his net over it, and take it with as little noife as poffible. vVhen the net is over the bird, the perfon who laid it is not to be in a hurry to take the bird, but muft ftay till he who carries the light is got beyond it, that the motions may not be difcovered. The blaze of the light and the noife of the bell terrify and amaze the birds in fuch a manner that they remain ftill to be taken ; but the people who are about the work muft keep the greateft quiet and ftillnefs that may be. Some people are fond of going on this fcheme alone. The perfon then fixes the light box to his bread, and carries the bell in one hand and the net in the other j the net in this cafe may be fomewhat fmaller, and the handle (horter. When more than one are out at a time, it is always proper to carry a gun ; as it is no uncommon thing to fpy a hare when on this expedition. X.O\V, East, a town of Cornwall in England, 231 miles from London, in the poll road from Ply¬ mouth. It is an ancient borough by prescription, made a corporation by charter of Queen Elizabeth, confiding of nine burgefles (one of whom is yearly chofen mayor), a recorder, aldermen, See. 5 and the mayor, magiftrates, and freemen, who are about 68, choofe the members of parliament. This being a ma¬ nor of the duchy of Cornwall, was fettled by King W illiam on Lord Somers, and is now held by the cor¬ poration at the fee-farm rent of 20s. a-year. It isfeat- ed pretty commodioufly on a creek of the fea, over which there is a large ftone bridge, fupported by 15 arches, which leads to AVeft Low, (landing between two hills. The chief benefit which the inhabitants have is in their fifhery. Here is a battery of four guns, and a fmall chapel. Lon\ We/i, called alfo Port Pigham, a town of Cornwall, divided from Eaft Low by a ftone bridge of ij arches over the river Low, from whence both towns receive their name, as the river does from the lownefs of its current between its high banks. The corporation, by charter of Queen Elizabeth, confifts of 12 burgefies, one of whom is annually chofen mayor, and, with the other burgefles, has power to choofe a fteward. Its members, whom it has fent to parliament ever fince the 6th of Edward VI. are ele&- ed by the corporation and freemen, who are about 60. There was a chapel of eafe here in the reign of Henry VIII. which was afterwards converted into a town-hall •, and the town lying in the parifti of Talland, the people go thither to church. There is a pretty little harbour here ; near the mouth of which is a (mall ifiand called St George’s^ which abounds with fea pies. The river here is navigable for veflels of 100 tons. LOWER, Richard, an eminent Englifii phyfician in the 17th century, was born in Cornwall, and edu¬ cated at Weftminfter fchool and Oxford ; after which -lie ftudied medicine, and praflifed under Dr Thomas 248 ] L O W V illis, whom he inftrufled in feme parts of anatom\? efpecially when the latter was writing his Cereln Ana- tome. _ He, with Dr Willis, in 1674, difcovered the, medicinal waters at Alhop in Northamptonfliire j which, upon their recommendation, became very much frequented. In 1666, he followed Dr Willis to Lon¬ don ; praftifed phyfic under him ; and became fellow of the Royal Society, and of the College of Phyficians. In 1669 he publiftied his TraBatus de Corde; and after the death of Dr Willis in 1675, he vvas efteemed the Lower , II JLowth. mod eminent phyfician in London. Upon the break¬ ing out of the Popiflr plot in 1678, fays Mr Wood in his Athena; Oxonienjis, he clofed with the Whigs fuppofing that party would carry all before them ; but* being miftaken, he loft his credit and pra a more probable motive try. fjr f*15) condu(ft, in the generous ardour of his charafter, and his paflionate adoration of freedom. In the fequel * Is the ] LUC of his narratiop, Tacitus alleges a charge againft our Lucanu. poet, which, if it were true, muft lead us to deteft v — him as the moft abjeft of mankind. The hiftorian af- ferts, that Lucan, when accufed of the confpiracy, for fome time denied the charge ; but corrupted at laft by a promile of impunity, and defirous to atone for the tardinefs of his confeflion, accufed his mother Atilla as his accomplice. This circumflance is fo improbable m itfelf, and fo little con fon ant to the general charafter of Lucan, that fome writers have treated it with con¬ tempt, as a calumny invented by Nero, to vilify the objedt of his envious abhorrence. But the name of Tacitus has given fuch an air of authority to the ftory, that it may feem to deferve a more ferious difeuflion' particularly as there are two fubfequent events related by the fame hiftorian, which have a tendency to inva¬ lidate the accufation fo injurious to our poet. The events I mean are, the fate of Anmeus, and the efcape of Atilla, the two parents of Lucan. The former died in confequence of an accufation brought againft him after the death of his fon, by Fabius Romanus, who had been an intimate with Lucan, and forged fome let¬ ters in his name, with the defign of proving his father concerned in the confpiracy. Thefe letters were pro¬ duced to Nero, who lent them to Annaeus, from an eager defire, fays Tacitus, to get poffeflion of his wealth. From this fad! two inferences may be drawn, accord¬ ing to the different lights in which it may be’eonfider- ed :—If the accufation againft Annaeus was juft, it is clear that Lucan had not betrayed his father, and he ap¬ pears the lefs likely to have endangered by his con¬ feflion the life of a parent, to whom he owed a ftill ten¬ derer regard .——If Annaeus w'as not involved in the con¬ fpiracy, and merely put to death by Nero for the fake of his treafure, we may the more readily believe, that the tyrant who murdered the father from avarice, might calumniate the fon from envy. But the efcape of A- tilla affords us the ftrongeft reafon to conclude that Lucan was perfedtly innocent of the abje Luc anus. Where wand’ring life her mazy journey took 5 v At once the currents all forgot their way, And loft their purple in the azure fea. Rowe. Such was the death of Lucan before he had completed his 27th year.—His wife, Polla Argentaria, is faid to have tranfcribed and correfted the three firft books of the Pharfalia after his death. It is much to be re¬ gretted (Mr Kayley obferves) that we poffefs not the poem which he wrote on the merits of this amiable and accomplilhed woman ; but her name is immorta¬ lized by two furviving poets of that age. The vene¬ ration which (he paid to the memory of her hufband is recorded by Martial 5 and more poetically defcribed in that pleafing and elegant little production of Statius, Genethliacon Lucani, a poem faid to have been written at the requeft of Argentaria. The author, after in¬ voking the poetical deities to attend the ceremony, touches with great delicacy and fpirit on the compo- fltions of Lucan’s childhood, which are loft, and the Pharfalia, the production of his early youth : he then pays a ftiort compliment to the beauty and talents of Argentaria j laments the cruel fate which deprived her fo immaturely of domeftic happinefs ; and concludes with an addrefs to the (hade of Lucan, which, with Mr Hayley’s tranflation, we (hall fubjoin in a Note, as it feems to furnilh a ftrong prefumption of Lucan’s innocence in regard to one of the accufations mention¬ ed above (a). “ Had he been really guilty of bafely endangering (Where mightier fouls new life affume) And mock the confines of the tomb $ Or whether in Elyfium bleft You grace the groves of facred reft, Where the Pharfalian heroes dwell j And, as you ftrike your epic Ihell, The Pompeys and the Catos throng To catch the animating fong j Of Tartarus the dread controul Binds not your high and hallow’d foul: Diftant you hear that wailing coaft, And fee the guilty Nero’s ghoft Grow pale with anguilh and affright, His mother flalhing on his fight. Be prefent to your Folia’s vows, While to your honour’d name ihe bows ! One day let your entreaties gain From thofe who rule the fliadowy train ! Their gates have op’d to blefs a wife, And given a hulband back to life. In you the tender fair invites No fancied god with frantic rites: You are the objeCt of her prayers. You in her inmoft heart ftie bears : And ftampt on mimic gold, your head Adorns the faithful mourner’s bed, And foothes her eyes before they clofe, The guardian of her chafte repofe. Away with all funereal ftate ! From hence his nobler life we date : Let mourning change the pang fevere,. To fond devotion’s grateful tear ! And feftal grief, its anguifli o’er, What it lamented, now adore ! L U G Luc anus f 254 1 LUC Lucaria, endangering the life of his mother (fays Mr Hayley), k is not probable that his wife would have honoured „ his memory with fuch enthufiaftic veneration ; or that Statius, in verfes defigned to do him honour, would have alluded to the mother of Nero. If his charadter as a man has been injured by the hiflorian (continues Mr Hayley), his poetical reputation has been treated not lefs injurioufly by the critics. Quintilian, by a frivolous diftindlion, difputes his title to be clafled among the poets •, and Scaliger fays, with a brutality of language difgraceful only to himfelf, that he feems rather to bar h than to Jiftg. But thefe infults may ap¬ pear amply compenfated, when we remember, that in the moft polithed nations of modern Europe, the moft elevated and poetic fpirits have been his warmeft ad¬ mirers; that in France he was idolized by Corneille, and in England tranflated by Rowe.—-The fevered cenfures on Lucan have proceeded from thofe who have unfairly compared his language to that of Virgil : but how uajuft and abfurd is fuch a comparifon ! It is comparing an uneven block of porphyry, taken rough- from the quarry, to the moft beautiful fuperficies of polifhed marble. How differently ftiould we think of Virgil as a poet, if we poffeffed only the verfes which he wrote at that period of life when Lucan compofed his Pharfalia ! In the difpofition of his fubjedl, in the propriety and elegance of didlion, he is undoubtedly far inferior to Virgil j but if we attend to the bold originality of his defign, and to the vigour of his fen- timents; if we confider the Pharfalia as the rapid and uncorrefted ficetch of a young poet, executed in an age when the fpirit of his countrymen was broken, and their tafte in literature corrupted ; it may juftly be efteemed as one of the moft noble and moft wonderful produftions of the human mind.—Lucan wrote feveral poems ; but we have none remaining befide his Phar~ folia, of which an excellent Engliflr verfton has been given by Mr Nicholas Rowe. LucaNUS, the Stag-Beetle, a genu’s of infefts of the order of eoleoptera. See Entomology Index. LUCAR DE Barameda (St), a handfome and confiderable tow n of Spain, with [a very good harbour, well defended, in Andalufia. It was once the greateft port in Spain, before the galleons unloaded their trea- fure at Cadiz. It is feated at the mouth of the river Guadalquiver. V/. Long. 6. 5. N. Lat. 36, 40. LuCAH de Guadiana (St), a ftrong town of Spain, in Andalufia, on the confines of Algarve ; feated on the river Guadiana, wdth a little harbour. W. Long. 5. 59. N. Lat. 37. 32. Luc Alt la Major (St), a fmall town of Spain, in Andalufia, with the title of a duchy. It is feated on the river Guadiana, in W, Long. 6. 32. N. Lat. 37. 21, LUCARIA, a feaft celebrated at Rome on the i8th of July, in memory of the flight of the Romans into a great wood, where they found an afylum, and faved themfelves from deftrudlion. This wood, in which they found proteftion, was fituated between the Tyber and the Via Salaria, The enemies from whom the Romans fled were the Gauls.—On this feftival, Plutarch tells us, it was cuftomary to pay the aas evacuated in I 795» ar|d was again retaken in 1796. i he foil of St Lucia is tolerably good, even at the fea fide ; and is much better the farther one advances into the country. The whole of it is capable of culti¬ vation, except fome h:gh and craggy mountains which bear Lucerne Lucia. LUC [ 257 1 LUC Lucia II Luciaiufts bear evident marks of old volcanoes. In one deep valley there are [till eight or ten ponds, the water of __ which boils up in a dreadful manner, and retains fome of its heat at the diftance of 6000 toifes from its re- fervoirs. The air in the inland parts, like that of all other uninhabited countries, is foul and unwholefomej but grows lefs noxious as the woods are cleared and the ground laid open. On fome parts of the fea coaft, the air is Hill more unhealthy, on account of fome fmall rivers which fpring from the foot of the mountains, and have not fufficient Hope to wafli down the fands with which the inllux of the ocean Hops up their mouths, by which means they fpread them- felves into unwholefome marlhes on the neighbouring grounds. Lucia, St, a high and mountainous ifland of Africa, and one of thofe of Cape Verde, is about nine leagues long, and lies in the latitude of 16° 18' N. according to the Englilh geographers •, but according to all others, it is a degree farther to the northward. On the eaft-fouiL-eaft fide is a harbour, with a bottom and ihore of white fand ; but its belt road is oppofite to St Vincent’s to the fouth-weft, where there are at leaft 20 fathoms of water. On the weft fide there is no water : it abounds with goats, fea and land fowl, tortoifes, &c. but whether it hath any inhabitants is not certainly known. LUCIAN, a celebrated Greek author in the firft century, was born at Samofata, of obfcure parents, in the reign of the emperor Trajan. He ftudied law, and praftifed fome time as an advocate j but growing wreary of the wrangling oratory of the bar, he commenced rhetorician. He lived to the time of Marcus Aure¬ lius, who made him regifler of Alexandria in Egypt j and, according to Suidas, he was at laft worried by dogs. Lucian was one of the fineft wits in all anti¬ quity. His Dialogues, and other works, are written in Greek. In thefe he has joined the ufeful to the agreeable, inftru&ion to fatire, and erudition to ele¬ gance ; and we everyw here meet with that fine and delicate raillery which characterizes the Attic tafte. Thofe who cenfure him as an impious fcoflfer at reli¬ gion, have reafon on their fide, if religion confifted in the theology of the Pagan poets, or in the extravagant opinions of philofophers j for he perpetually throws fuch ridicule on the gods and philofophers, with their vices, as infpires hatred and contempt for them j but it cannot be faid that he writes anywhere againfl; an overruling providence. LUCIANISTS, or Lucanists, a religious feft, fo called from Lucianus, or Lucanus, a heretic of the fecond century, being a difciple of Marcion, whofe errors he followed, adding fome new ones to them. Epi- phanius fays he abandoned Marcion ; teaching that people ought not to marry, for fear of enriching the Creator : a d yet other authors mention that he held this error in common wdth Marcion and other Gno- ftics. He denied the immortality of the foul 5 afiert- ing it to be material. .There wras another fe£I of Lucianifis, who appear¬ ed fome time after the Arians. They taught, that the Father had been a father always, and that he had the name even before he begot the Son ; as having in him the power or faculty of generation ; and in this manner they accounted for the eternity of the Son. Vol. XII. Part I. LUCID intervals, the fits of lunatics or maniacs, during which the phrenzy leaves them in- poffeffion of their reafon. LUCIFER, according to the poets, was the fon of Jupiter and Aurora. In aftronomy, Lucifer is the bright planet Venus, which either goes before the fun in the morning, for 290 days, and is our morning ftar; or in the evening follow-s the fun, during the fame time, and then is called Hefperus or the evening liar. LUCIFERA, in Mythology, a furname given to Diana, under which title Ihe was invoked by the Greeks in childbed. She was reprefented as covered with a large veil, interfperfed with liars, bearing a cref- cent on her head, and holding in her hand a lighted flambeau. LUCIFERIANS, a religious fe6f, who adhered to the fchifm of Lucifer, bifhop of Cagliari, in the fourth century, who was banilhed by the emperor Conftantius, for having defended the Nicene dobhine concerning the three Perfons in the Godhead.—St ,Au- guftine feems to intimate, that they believed the foul, which they confidered as of a carm.l nature, to be tranfmitted to the children from their fathers. Theo- doret fays, that Lucifer w as the author of a new error. The Luciferians increafed mightily in Gaul, Spain, Egypt, &c. The occafion of the fchifm was, that Lu¬ cifer would not allow' any abls he had done to be abo- lifhed. There were but two Luciferian bifhops, but a great number of priefts and deacons. The Luciferians bore a peculiar averfion to the Arians. LUCILIUS, Caius, a Roman knight, and a La¬ tin poet, was born at Suefla in Italy, about 140 B. C. He ferved under Scipio Africanus in the war with the Numantines j and was in great favour with that cele¬ brated general, and with Laelius. He wrote 30 books of fatires, in which he lalhed feveral perfons of quality very lharply. Some learned men afcribe the invention of fatire to him ; but M. Dacier has maintained, with great probability, that Lucilius only gave a better turn to that kind of poetry, and wrote it with more wit and humour than his predeceffors Ennius and Pa~ cuvius had done. His fragments have been carefully collected by Francis Douza at Leyden in 1599, with notes. But they require Hill to be better illuitrated by fume b arned critic. LUC IN A, a goddefs among the Romans, who prefided over women in labour. Some take her to be Diana, others Juno. She was called Lucina, becaufe (he brought children to the light $ from the Latin word lux, “ light.” LUCIUS, the fpecific name of the pike. See Esox, Ichthyology Index. LUCONIA. See Manilla. LUCRETTA, the famous Roman matron, wife of Collatinus, and the caufe of the revolution in Rome from a monarchy to a republic: this lady being ravifli- ed by Sextus, the eldeft fon of Tarquin king of Rome, ftabbed herfelf, 509 B. C. See the article Chastity. The bloody poniard, with her dead body expofed to the fenate, was the fignal of Roman liberty ; the ex- pulfion of the Tarquins, and abolition of the regal dig- nity, was inftantly refolved on, and carried into exe- tion. See Rome. LUCRETIUS, or Titus Lucretius, Caius, one K k of Lucid Intervals II Lucretius. LUC [ 25 Lucretius Gf the moll celebrated of the Latin poets, w&S born of an ancient and noble Roman family, and ftudied at v.Jii.ll Athens, where he became one of Epicurus’s fe£t. He acquired great reputation by his learning and elo¬ quence ; but in the flower of his age fell into a frenzy, occafioned by a philtre given him by his wife, who was diflrafledly fond of him. Lucretius, during the intervals of his madnefs, put Epicurus’s dobtrines into verfe, and compofed his fix books De Rerum Natura, which are fiill extant. It is faid that he killed him- felf in a fit of madnefs, in the 54th year before the Chriftian era, when 51 years old. The moft cor re ft edition of Lucretius is that of Simon de Coline. The cardinal de Polignac has refuted Lucretius’s arguments, in his excellent Latin poem entitled Anti-Lucretius. His poem De Rerum Natura has been tranflated into Englifh by Mr Creech. LUCRINUS lacus, in Ancient Geography, a lake of Campania, between Baiae and Puteoli, famous for its oyfters (Horace, Martial, Juvenal) ; Lucritienfes (Cicero), the people dwelling on it. Now a perfeft bay fince the earthquake in 1538. LUCULLUS, Lucius Lucinius, a Roman gene¬ ral celebrated for his eloquence, his viftories, and his riches. In his youth he made a figure at the bar ; and being afterwards made quaeftor in Afia, and praetor in Africa, governed thofe provinces with great modera¬ tion and juftice. Scarce was he known as a military man, when he twice beat the fleet of Hamilcar, and gained two great viftories over him. His happy ge¬ nius was greatly improved by ftudy ; for he employed his leifure in reading the belt authors on military af¬ fairs. Being made conful with Aurelius Cotta, dur¬ ing the third war writh Mithridates king of Pontus, he was fent againft this prince : and this expedition was attended with a feries of viftories, which did him lefs honour than an aft of generofity towards his col¬ league ; who, willing to take advantage of his abfence to fignalize himfelf by fome great exploit, haftened to fight Mithridates j but was defeated and fhut up in Chalcedonia *, where he mull have perifhed, if Lucullus, facrificing his refentment to the pleafure of faving a Roman citizen, had not flown to his afliftance, and difengaged htm. All Pontus then fubmitted to Lu¬ cullus } who being continued in his government of Afia, entered the territories of Tigranes, the moft powerful king in Afia. That prince marched with a formidable army againft Lucullus: who defeated him with a handful of men, and killed great numbers of his forces $ took Tigranocertes, the capital of his king¬ dom j and was ready to put an end to the war, when the intrigues of a tribune got him depofed, and Pompey nominated in his room. Lucullus having brought home prodigious riches, now gave himfelf up to exceflive lux¬ ury 5 and his table was ferved with a profufion till that time unknown. He brought from the Eaft a great number of books, which he formed into a library, and gave admittance to all men of learning, who fre¬ quented it in great numbers. Toward the end of his life, he fell into a kind of madnefs : and Lucullus, his brother, was appointed his guardian. He is faid to have been the firft who brought cherries into Europe, having brought the grafts from the kingdom of Pon¬ tus. LUC US, in general, denotes a wood or grove fa- 8 ] L U D cred to a deity 5 fo called a lucetido, becaufe a great Lucns number of lights were uiually burning in honour of li the god (Ifidorus) 3 a practice common with idolaters. ^u^‘• as we learn from Scripture : hence Homer’s etyXxtv y ~ LUD, a Britifti king mentioned in our old chro¬ nicles, and faid to have reigned about the year of the world 3878. He is reported to have enlarged and wall¬ ed about Troynovant, or New Troy, where he kept his court, and made it his capital. The name of London is hence derived from I^udys town ; and Ludgate from his being buried near it: but this is only one among many other derivations of the name of London j which are at leaf! equally probable. See London. LUDAMAR, a Moorilh kingdom in the interior part of Africa, the capital of which is fituated in N. Lat. 15. c. W. Long. 60. 50. which Mr Park con- fiders as little fuperior to a deiert. The Moors of Lu- damar fubfift chiefly on the flefh of their cattle. The barrenness of the country is luch, that it fur- nithes few materials for manufacture : but the inhabi¬ tants contrive to weave a ftrong cloth, with which their tents are covered j the thread is Ipun by the women from goats hair, and with the hides of their cattle they furnifh faddles, bridles, pouches, and other articles of leather. They can alio convert the native iron pro¬ cured from the negroes into fpears, knives, and pets for boiling their food j but they purchafe their fire-arms and other weapons of a fimilar nature from the Euro¬ peans, in exchange for flaves. Their ideas of female perfeftion are truly Angular, fince a woman, to have the fmalleft preteniions to beauty, muft be one who requires a flave under each arm to fupport her as fire w alks ; and a perfeft beauty, according to Mr Park, is a load for a camel. The wealth of the Moors chiefly confiits in their numerous herds of cattle, yet the majority of the people fpend their days in a ftate of idleneis. The tent of the king is the common place of rendezvous for the indo¬ lent, where they appear to enjoy an unlimited liberty of fpeech ; yet in the praife of their fovereign they are wholly unanimous, finging fongs to his honour, which never fail to be filled with the groffeft adulation. The king fometimes eats out of the fame bafon with the driver of his camels, and during the heat of the day re- pofes himfelf upon the fame bed. Cavalry conftitute the chief military firength of Lu- damar, which are well mounted, and are very expert in attacking by furprife. The horfe of every loldier is furniihed by himfelf, as alfo his military implements, confifting of a large fabre, a double-barrelled gun, a red leather bag for holding his balls, and a powder- horn flung over his ftioulder. He has no pay, and his only compenfation arifes from plunder. They have no intercourfe with civilized nations, yet they boaft an advantage over the negroes, as they pof- fefs, though in a very limited degree, the knowledge of letters. They are efteemed the vaineft, proudeft, and moft bigotted, ferocious, and intolerant of all the nations of the earth, blending in their charafter the blind fuperftition of the negro with the favage cruelty and treachery of the Arab. It was with the utmoft difficulty that Mr Park made his efcape from this cruel and inhofpitable people. LUDI, a term ufed for fliows and public reprefen- tations L U D [2 Lucii tations made by the Romans, for the entertainment of il the people. See Games. .udlow. ^ p\)r an account of the particular games of Greece and Rome, as the Kthmian, Nemaean, Olympic, &c. See Isthmian, &c. LUDIUS, a celebrated painter, lived in the reign of Augullus Caefar, and excelled in grand compofitions. He was the fir it who painted the fronts of houfes in the ftreets of Rome ; which he beautified with great variety of landfcapes, and many other different fub- je<5ts. LUDLOW, Edmund, fon of Sir Henry Ludlow, was born at Maidenhead, and educated in Trinity college, Oxford. His father oppoling the king’s in- teretf, Mr Ludlow joined with the fame party, and was prelent at the battle of Edgehill as a volunteer un¬ der the earl of ElTex. Upon the death of his father, he was chofen knight of the ihire for Wilts, and ob¬ tained the command of a regiment of horfe for the de¬ fence of that country. He was one of King Charles L’s judges : after whofe death he was fent by the parlia¬ ment into Ireland, in quality of lieutenant-general of the horfe which employment he dilcharged with di¬ ligence and fuccefs till the death of the lord-deputy Ireton, when he acled for fome time as general, though without that title ; Cromwell, who knew him to he fincerely in the intereft of the commonwealth, always finding out fome pretext to hinder the conferring of that chara&er upon him. The laft llroke had been given by Ludlow to the Irilh rebellion, if the ufurpa- tion of Cromwell had not prevented it. Under his power he never a moon. Lunatic, in Law. Under the general term of non* compos mentis (which Sir Edward Coke fays is the mofl; legal name), are comprifed not only lunatics, but perfons under frenzies, or who lofe their intelleds by difeafe; thofe that deaf, dumb, and blind, not being born fo ; or fuch, in (hort, as are judged by the court of chancery incapable of conducing their own affairs. To thefe alfo, as well as idiots, the king is guardian, but to a very different purpofe. For the law always imagines, that thefe accidental misfortunes may be removed ; and therefore only conftitutes the crown a truftee for the unfortunate perfons, to proteft their property, and to account to them for all profits. received, if they recover, or after their deceafe to their reprefentatives*. f 26l ] Lunatic II Lundy. L U N [2 re prefen tatives. And therefore it is declared by the fiatute 17 Edvv. II. c. 10. that the king {hall provide for the cudody and fuftentation of lunatics, and preferve their lands, and the profits of them, for their ufe when they come to their right mind; and the king {hall take nothing to his own u!e : and if the parties die in fuch eftate, the refidue lhall be diftributed for their fouls by the advice of the ordinary, and of courfe (by the fubfequent amendments of the law of adminiftrations) {hall now go to their executors or adminiftrators. On the firft attack of lunacy, or other occafional infanity, when there may be hopes of a fpeedy reftitution of reafon, it is ufual to confine the unhappy objedls in private cuftody under the direftion of their neareft friends and relations ; and the legiflature, to prevent all abufes incident to fuch private cuftody, hath thought proper to interpofe its authority, by 14 Geo. III. c. 49. for regulating private mad-houfes. But when the diforder is grown permanent, and the circumftances of the party will bear fuch additional expence, it is thought proper to apply to the royal authority to warrant a lading confinement. The method of proving a perfon non compos is very fimilar to that of proving him an idiot. The lord chancellor, to whom, by fpecial authority from the king, the cuftody of idiots and lunatics is intruded, upon petition or information, grants a commiftion in nature of the writ de idiota wquirendo, to inquire into the party’s ftate of mind *, and if he be found non com- pos, he ufually commits the care of his perfon, with a fuitable allowance for his maintenance, to fome friend, who is then called his committee. However, to pre¬ vent finifter praftices, the next heir isfeldom permitted to be of this committee of the perfon ; becaufe it is his intereft that the party {hould die. But it hath been faid there lies not the fame objection againft his next of kin, provided he be not his heir; for it is his intereft to preferve the lunatic’s life, in order to increafe the perfonal eftate by favings, which he or his family may hereafter be entitled to enjoy. The heir is generally made the manager or committee of the eftate, it being clearly his intereft by good management to keep it in condition : accountable, however, to the court of chan¬ cery, and to the non compos himfelf, if he recovers ; or otherwife, to his adminiftrators. See Idiocy. LUNATION, the period or fpace of time between one new moon and another; d[{aca\\e&fynodicalmonth. See Cycle and Epact. L UNDEN, or LuND,a confiderable town of Sweden, in Gothland ; and capital of the territory of Schonen, with an archbilhop’s fee and an univerfity. It was ceded to the Swedes by the Danes in 1658. E. Long. 13. 25. N. Lat. 55. 40. LUNDY island, fituated 50 miles in the fea, off the north-weft coaft of Devonftiire, is five miles long and two broad, but fo encompaffed with inaeceflible rocks, that it has but one entrance to it, fo narrow that two men can fcarcely go abreaft. It is reckoned in the hundred of Brandon. It had once both a fort and a chapel. The fouth part of it is indifferent good foil, but the north part of it is barren, and has a high pyra¬ midal rock called the Conflable. Here are horfes, kine, hogs, and goats, ■with great ftore of ftieep and rabbits; but the chief commodity is fowl, with which it abounds muoh, their eggs being very thick on the ground at 3 62 ] L U N their feafon of breeding, live in this ifland. No venomous creature will Lund. In the reign of Henry VIII. one || ' William Moriico, who had confpired to murder him at I'llnent)w Woodftock, fled to this ifland, which he fortified, turn- ^ ed pirate, and did much damage to this coaft ; but was taken by furprife at length, with 16 of his accomplices and put to death. LUNE, Lunula, in Geometry, a plane in form of a crefcent or half-moon, terminated by the circumference of two circles, that interfeft each other within. LUNENBURG, or Lunenburg Zell, a principa¬ lity of Germany, bounded to the fouth by that of Calenberg, the diocefe of Hildeftieim, and the duchy of Brunfwic ; to the north, by the duchy of Lauenburg and the Elbe, by the laft of which it is feparated from the territory of the imperial city of Hamburgh ; to the eaft, by the duchy of Brunfwic, the Alte Mark, and the duchy of Mecklenburg ; and to the weft, by the duchies of Bremen and Verden, the county of Hoya, and the principality of Calenberg. The foil, except along the Elbe, Aller, and Jetz, is either fand, heath, or moor. In the more fruitful parts of it are produced wheat, rye, barley, oats, peafe, buck-wheat, flax, hemp, hops, pulfe, oak, beech, firs, pines, birch, and alder, together with black cattle and horfes. The heaths abound with bees and honey, and a fmall kind of {heep whofe wool is long and coarfe. Lunenburg is well fur- niftied with fait fprings and limeftone, and the foreft of Gorde with venifon. The rivers Elbe, Ilmenau and Aller, are navigable ; and confequently very advanta¬ geous to the country, independent of the filh which they yield. The general diets of this principality are convened by the fovereign twice a-year, and held at Zell. They confift of the deputies of the nobility and the towns of Lunenburg, Uelzen, and Zell, who have the nomination of the members of the high colleges, and other officers, jointly with the fovereign. There are near 200 Lutheran churches in the country, under two general and 15 fubordinate fuperintendants, feveral grammar-fchools, two Calvinift churches at Zell, and an academy of exercifes at Lunenburg. The manufac¬ tures are chiefly linen cloth, cottons, ribbons, {lockings, hats, ftarch, bleached wax, refined fugar, gold and filver wires, all kinds of wooden wares, barges, boats, and fhips. The exports of thefe to Hamburgh, Lubec, and Altona, are confiderable. The nighbourhood of thefe cities, with the facility of conveying goods and merchandife to them and other places, either by land or water, is very advantageous to this country, and contributes greatly to its fubfiftence. On account of this principality, the king of Great Britain has a feat and voice both in the college of the princes of the em¬ pire and of the circle of Lower Saxony. Its quota in the matricula is 20 horfe and 120 foot, or 720 florins in lieu of them. The revenues of the principality arife chiefly from the demefnes, tolls on the Elbe, contribu¬ tions, duties on cattle, beer, wine, brandy, and other commodities, which altogether muft be very confider¬ able, fome bailiwics alone yielding upwards of 20,000 rix-dollars. Lunenburg, the capital of the principality of the fame name, is a pretty large town of Germany, on the river Elmen, or the Ilmenau, which is navigable from the town to the Elbe, at the diftance of 13 miles. It is 27 miles from Hamburgh, 43 from Zell, 65 from Brunfwic, L U N [ jmenburg, Brunfwic, y 6 from Bremen, 68 from Hanover; and Lunenfe flands jn E. Long. 10. 40. N. Lat. 53. 28. Its in- I Harm or. ^ are reckoned at between 8000 and 9000. ""*"v Formerly this town was one of the Hanfe, and an im¬ perial city. Some derive its name from Lina, the ancient name of the Ilmenau ; others from Luna, the moon, an image of which is faid to have been wor- fhipped by the inhabitants in the times of Paganifm. Here were anciently feveral convents, viz. one of Mi¬ nims, another of Premonftratenfians, another of Be- nediftines, and a fourth of Minorites. Out of the revenues of the Bcnedidtine monaftery was founded an academy for the martial exercifes, where young gentle¬ men of the principality of Lunenburg are maintained gratis, and taught French, fencing, riding, and dan¬ cing ; but foreigners are educated at a certain fixed price. A Latin fchool was alio founded, confifting of four clafles, and well endowed out of thefe revenues. The fuperintendency and management of thefe, and the eftates appropriated to their maintenance, belongs to the landfchaft dire&or, and the aufreiter, who are both chofen from among the Lunenburg nobility. The firft came in place of the Popilh abbot, and as fuch is head of the Rates of the principality, and prefident of the provincial college. He has the title of excellencij ; and in public inftruments Ryles himfelf, by the t^race of God landfchaft direBor, and lord of the manfon of St Michael in Lunenburg. The chief public edifices are three pa- rifli-churches, the ducal palace, three hofpitals, the town-houfe, the falt-magazine, the anatomical theatre, the academy ; the conventual church of St Michael, in which lie interred the ancient dukes, and in which is the famous table eight feet long, and four wide, plated over with chafed gold, with a rim embellilhed with precious Rones, of an immenfe value, which was taken from the Saracens by the emperor Otho, and prefented to this church : but in 1698, a gang of thieves Rripped it of 200 rubies and emeralds, together with a large diamond, and moR of the gold, fo that at prefent but a fmall part of it remains. Here are fome very rich fait fprings. Formerly, when there wfas a great demand for the fait, upwards of 120,000 tons have been an¬ nually boiled here,' and fold off; but fince the com¬ mencement of the prefent century, the fait trade hath declined greatly. A fifth of the fait made here belongs to the king, but is farmed out. It is faid to excel all the other fait made in Germany. This town is well fortified ; and has a garrifon, which is lodged in bar¬ racks. In the neighbourhood is a good limefione quarry ; and along the Ilmenau are warehoufes, in which are lodged goods brought from all parts of Ger¬ many, to be forwarded by the Ilmenau to Hamburgh, or by the Afche to Lubec, from whence other goods are brought back the fame way. The town itfelf carries on a confiderable traffic in wax, honey, wool, flax, linen, fait, lime, and beer. . LUNENSE marmor, in the natural hiRory of the ancients, the name of that fpecies of white marble now known among us by the name of the Carrara marble, and diflinguiffied from the flatuary kind by its greater hardnefs and lefs fplendour. It was ever great¬ ly effeemed in building and ornamental works, and is fo Rill. It is of a very clofe and fine texture, of a very pure white, and much more tranfparent than any 63 ] L U N other of the white marbles. It has always been found Lunenfe in great quantities in Italy, and is fo to this day. See MaJmor Luna. Lungs. LUNETTE, in Fortification, an enveloped counter¬ guard, or elevation of earth, made beyond the fecond ditch, oppofite to the places of arms ; differing from the ravelins only in their fituation. Lunettes are ufually made in ditches full of water, and ferve to .the fame purpofe as fauffebrayes, to difpute the paffage of the ditch. See Fortification. Lunette, in the manege, is a half horfe-flioe, or fuch a ffioe as wants the fponge, i. e. that part of the branch which runs towards the quarters of the foot. Lunette is alfo the name of two fmall pieces of felt, made round and hollow, to clap upon the eyes of a vicious horfe that is apt to bite, and flrike with his fore feet, or that will not fuffer his rider to mount him. LUNGS, in Anatomy, a part of the human body,, ferving for refpiration. See Anatomy, N° 117. In the Journal de Medicine for June 1789, is a de- fcription of an Inftrument for Inflating the LlJNGS, invented by M. Gorcy,phyfician to the military hofpital at Neufbrifack, which appears to be extremely well adapted to the pur¬ pofe, whilfl it may be ufed with the greateR eafe and facility. This inflrument, which the inventor Ryles apodopic, that is, “ reflorer of refpiration,” confifls of a double Plate pair of bellows, BCLM, fig. 1. the two different parts CLXCVITIt of which have no communication with each other. In *• the lower fide BM, is an aperture A for a valve con- flrudled on the principles of thofe of Mr Nairne’s air- pump. It confiRs of a rim of copper, clofed at one end by a plate of the fame metal, in which plate are feven fmall holes placed at equal diflances. This plate is covered with pieces of filk coated with elaflic gum, in which are fix tranfverfe incifions of two or three lines in length. Each incifion is fo made as to be fituated be¬ tween two of the holes, and at an equal diRance from each : fee D, fig. 2. The filk muff be made very ie- Fig. 2. cure by a thread palling feveral times round the rim. It is obvious, that a flream of air applied to that fide of the plate which is oppofite the filk, will pafs through the holes, and, lifting up the filk, efcape through the incifions. On the contrary, a Rream of air applied to the other fide will prefs the filk upon the plate, and thus clofe the holes, fo that it will be impoflible for it to pafs through them. This valve opens internally, fo as to admit the air from without. At B is another valve,on the fame conflru&ion, but opening in a contrary direc¬ tion, thus permitting the air to efcape out of the lower part into the tube EF, but preventing its entrance. At G is another valve, opening internally to admit the air from the tube EF ; and at D there is a fourth, opening externally to difcharge the air from the upper part. The flexible tube EF, fcrewed on at the end CB, being introduced into one of the nofirils, whilfl the mouth and the other noflril are clofed by an afliflant, if we feparate the two handles LM, which were clofe together at the introduction of the tube, it is evident, that the air in the lungs will rufh into the upper part through the valve C, whilit the external air will fill the lower part through the valve A : the two handles being; L UP f 2 tujgs bting again brought into contaft, the atmofpheric air Lupinus. W1^ be forced into the lungs through the valve B, and v tbe lame time the air in the upper part will be dil- charged at the valve D. Thus by the alternate play of the double bellows, the lungs will be alternately filled and emptied as in refpiration. In ufing the inftrument care (hould be taken not to be too violent ; as the more perfectly the natural motion of refpiration is imitated, the better. To prevent any fubftances from without injuring the valves AD, fig. i. the rim is made with a ferew, B, fig. Fig. 3. 3. in order to receive a cap A A, fig. 3. full of fmall holes. I his ferew has alfo another ule. If air or oxy¬ gen gas be preferred, a bladder filled with it, fig. 4. may, by means of the lerew' A, be falltned to the valve A, fig. 1. •, and, to prevent wafte, as this air may ferve feveral times, a flexible tube may be ferewed on the valve D, fig. 1. communicating with the bladder by JS- 4* means of the opening d, fig. 4. : thus it may be employ¬ ed as often as the operator thinks proper. I here is a handle K to the partition in the middle, in order that, if it be at any time neceffary toufe either of the divifions alone, the other may be confined from Tig- 5‘ a6ling. c, b, fig. 5. reprefent the two valves to be ap¬ plied at the end of the inftrument C, B, fig. 1. j and fig. 6. is a fedtion of the end CB, fhowing the valves in their proper places. It is proper to add, that the capacity of the inftru¬ ment fliould be proportioned to the quantity of air re¬ ceived into the lungs in infpiration, which Dr Goodwyn has afeertained to be twelve cubical inches or fomewhat more. Each divifion of the inftrument, therefore, fhould be capable of containing that quantity. LuNG-Wort. See Pulmonaria, Botany Index. LUNISOLAR year, in Chronology, the fpace of 532 common years 5 found by multiplying the cycle of the fun by that of the moon. LUNULA. See Lune. LUPERCALIA, feafts inftituted in ancient Rome, in honour of the god Pan. The word comes from Lu- percal, the name of a place under the Palatine moun¬ tain, where the facrifices were performed. The Lunercalia were celebrated on the 15th of the kalends of March, that is, on the 15th of February, or, as Ovid obferves, on the third day after the ides. They are fuppofed to have been cftablilhed by Evander. On the morning of this feaft, the Luperci, or prit fts of Pan, ran naked through the ftreets of Rome, link¬ ing the married women they met on the hands and belly wdth a thong or ftrap of goats leather, which was held an omen promifing them fecundity and happy de¬ liveries. See Luperci. This feaft w'as abolilhed in the time of Auguftus ; but afterwards reftored, and continued to the time of the emperor Anaftafius.—Baronius fays it wasaboliftied by the pope in 496. LUPERCI. a name given to the priefts of the god Pan. See Lupercai ia. The luperci were the moft ancient order of priefts in Rome ; they wrere divided into two colleges or compa¬ nies, the one called Fobii and the other \uintilii. To thefe Coe far added a third, which he called Julii. LUPINUS, Lupine; a genus of plants belonging to the diadelphia clafs; and in the natural method rank- ] L U S ing under the 3 2d order, Papilionacece. See Botany Index. LUPULUS, the Hop plant. See Humulus, Bo¬ tany Index. LUPUS, the Wolf. See Canis, Mammalia Index. Lupus Marinus, the Sea-ws(f, a filh. See Anar- rhicas, Ichthyology Index. Lupus, in Ajlronomy. See Astronomy Index. LURCHER, a kind of hunting-dog, much like a mongrel greyhound with pricked ears, a ftiagged coat, and generally of a yellow ilh white colour : they are very fwift runners, fo that if they get between the burrows and the conies they feldom mifs ; and this is their common practice in hunting : yet they ufe other fubtilties, as the tumbler does, fome of them bringing in their game, and thofe are the belt. It is alfo obfervable, that a lurcher will run down a hare at ftretch. LURE, in falconry, a device of leather, in the Ihape of tw’o wings, ftuck with feathers, and baited with a piece of flelh, to call back a haw k when at confiderable diftance. LURGAN, a town in the county of Armagh and province of Ulfter in Ireland, 67 miles from Dublin. It is a flourilhing town, agreeably fituated in the midft of a much improved country ; and the inhabitants are extenfively engaged in the linen manufafture. It Hands on a gentle eminence, about two miles from Lough- Neagh, of which it commands a moft beautiful and ex- tenfive profpeft. N. Lat. 54. 35. W. Long. 6. 31. Lurgan green, a town of Ireland, in the county of Louth and province of Leinfter, 37 miles from Dub¬ lin ; a mile beyond which is a handfome feat of the earl of Charlemont. LURIDAL, the name of the 28th order in Lin¬ naeus’s fragments of a natural method. See Botany, Natural Orders. L US APIA, a marquifate of Germany, in Upper Saxony; bounded to the eaft by Silefia, to the weft by Miinia, to the fouth by Bohemia, and to the north by the marquifate of Brandenburgh. Till towards the middle of the 15th century, the Upper Lufatia was called, the Mark, i. e. the merquijate or the land of Bu- difzin and Gorht'z ; and the Lower o-dy Lufatia, w hich it is faid, in the Sclavonic, fignifies “ a woody or marlhy country.” The air of the Upper Lufatia, which is hilly or mountainous, is better than that of the Lower, a great part of which is moorifli and bog¬ gy. Both abound in wood, efpecially the Lower, and turf for fuel. The heathy and mountainous trafls are generally barren ; but the lower champaign and marih lands are tolerably fertile, producing pafture, wheat, rye, oats, barley, buck-wheat, peafe, lentils, beans, and millet; together with flax, hops, tobacco, fome white and red wine, and what is called manna Of feveral of thefe articles, however, confiderable quan¬ tities are imported. In this country are found alfo quarries of ftone, medicinal fprings, baftard diamonds, agates, and jafpers, earths and clays for tobacco- pipes and all forts of earthen ware, alum, good iron ftone, vitriolic and copper water ; nor is it deftitute of cattle, filh, and venifon. The rivers Spree, th© Schwarze or Black Elfter, and the Pulznitz, have their laipiim: APPAKATl S FOH INFLATING THE LUNGS . ^ 3. PLATE CCXCm. /F/fryrJlzL ClLA xtezife •' L U S { 265 ] L U S Lufatia. their fources in the Lufatias, which are alfo watered by the Neiffe and Queis. The ancient inhabitants of this country were the Saxons, who were fucceeded by the Vandals, and thefe by the Soher-Wends, a Scla- vonian people. The prefent inhabitants, the descen¬ dants of the Wends, have an odd drefs j and the lan¬ guage is fo inarticulate and guttural, that it hath been Said, it might be pronounced without lips, teeth, or tongue } but the towns are altnoft wholly peopled by Germans. In the Upper Lufatia are fix towns which appear at the land-diets, 16 fmaller country towns, and four market towns. In the Lower are four diet towns, 13 country towns, and two market ones. Both marqui- fates were formerly fubje6t either to the kings of Bo¬ hemia, the archdukes of Auftria, or eleTors of Bran- denburgh j but, in 1636, both were abfolutely ceded to the ele&or of Saxony, in lieu of the 72 tons of gold which he expended in ailitting the emperor Fer¬ dinand II. againlt the Bohemians. Chriilianity was firlt pianted in Lufatia in the fe- venth century but it was feveral centuries after that before Popery was fully erta’olHired. In the 11th cen¬ tury many cloifters were ereTed in the country j but at the Reformation fuch numbers embraced Liftheran- afm, that it became the predominant religion, and ftHl continues, though there are ft ill feveral Roman Ca¬ tholic foundations, churches, market-towns, and vil¬ lages. The enthufiaftic feel of Hernhuters poffefTes a great influence and efteem here. There are con- fiderable manufactures of woollen and linen duffs in the Lufatias, efpecially the Upper. At Budiffen, and in the adjacent country, prodigious quantities of dock¬ ings, fpatterdafhes, caps, and gloves are made. The linen manufactures alfo dourifh here, chiefly in the Up¬ per Lufatia, where all forts of linen are made, printed, and dyed. Exclufive of thefe, there are confiderable manufactures of hats, leather, paper, gunpowder, iron, glafs, bleached wrax,- &c. Though the demand and ex¬ portation of thefe commodities, particularly linen and woollens, is not fo great as formerly, yet it is dill con- liderable, and more than overbalances their importa¬ tions in wool, yarn, dlk, wines, fpices, corn, frefh and baked fruits, garden duff, and hops. Difputes of many years danding have fubdded between the country ar¬ tificers and linen manufacturers on the one fide, and the diet-towns on the other j the latter unjudly feek- ing to exclude the former from any (hare in the linen trade. The natives of this country are faid to have quick natural parts, but to be fordidly penurious. We are told they obferve the Saxon laws much better than they did the Bohemian. Learning hath been much edeemed and encouraged in both marquifates fince the Reformation. The Ichools in the fix diet towns of Up¬ per Lufatia, particularly at Gorlitz, Budiffen, and Zittau, greatly didinguilh themfelves, having hand- fome dipends. In Lower Lufatia alfo are fome good fchools, with dipends for the maintenance of dudents. Printing is faid to belmuch followed, and brought to great perfedion in this country. In Upper Lufatia, the dates confid, id, of thofe called yfote-Zon/j-; 2dly, of the prelates; fldly, of the gentry and commonalty, under which are comprehend¬ ed the counts, barons, nobles, and burgeffes, poffef- fors of fees and fief-edatesj and, 4thly, of the repre- Vol. XII. Part I. fentatives of the fix principal towns. Without the Lufatia confent of thefe dates no taxes can be impcfed, nor any H thing of importance, that regards the public, tranl-■ u ra afted. The diets are ordinary or extraordinary. The ordinary meet once in three years, and the extraordi¬ nary when fummoned by the fovereign upon particular emergencies. As to ecclefiallical matters, the dean of Budiffen and his confiffory exercife all manner of epif- copal jurifdidion 5 and among the Protedants, the jurifdiCtion belongs either to the fuperior, the upper- office, or the patrons. The revenues arifing to the fuperior or fovereign, from Upper Lufatia, confid partly cf the fubddies granted by the dates, among which, at prefent, are reckoned capitation and edate- money j and partly of the beer-tax, excife, tolls, &c. — Upper Lufatia is divided into two great circles, viz. thofe of Budiffen and Gorlitz, which are again divided into leffer circles. The land dates of Lower Lufatia confid, like thofe of the Upper, of prelates, lords, and knights, and the reprefentatives of the date towns, which are Luc- kau, Gubben-Lubben, and Kalau. Two land diets are yearly held at Lubben, called voluntary-diets; but vhen the fuperior caufes the dates to be fummoned together at his difcretion, and propodtions to be laid before them, by commiffaries deputed for that pur- pofe, fuch convention is called a great land diet. The marquifate is divided into five circles, each of which holds a circle affembled in its circle town. The chief officers appointed either by the fuperior or the dates are, the prefident of the upper office, the land captain, and the land judge. The principal tribunals are, the land court, and the upper office, to which lie appeals from the inferior judicatories. There are alfo officers for the feveral circles. Spiritual matters belong here to a confidory, ere&ed in 1668. The ordinary taxes ^re paid into the ched of the circle j and from thence configned to the general ched, of which the upper tax-receiver is fuperintendant. By him an annual ac¬ count of the receipts is made out, which is examined and paffed by the deputies of the dates. LUSITANIA, in /Indent Geography, one of the divifions of Spain, extending to the north of the Ta¬ gus, quite to the lea of Cantabria, at lead to the Pro- montorium Celticum. But Augudus, by a new regu¬ lation, made the Anas its boundary to the fouth, the Durius to the north j and thus condituting only a part of the modern Portugal. Lujitani the people, (Diodo¬ rus, Stephanus). LUSTRAL, an epithet given by the ancients to the water ufed in their ceremonies to fprinkle and pu¬ rify the people. From them the Romanids have bor¬ rowed the holy water ufed in their churches. Lustral Day (Dies Lujlricus), that whereon , the ludrations were performed for a child, and its name given j which was ufually the ninth day from the birth of a boy, and the eighth from that of a girl. Though others performed the ceremony on the lad day of that week wherein the child was born, and others on the fifth day from its birth. Over this fead-day the goddefs Nundina was fup pofed to prefide j the midwives, nurfes, and domedics handed the child backwards and forwards, around a fire burning on the altars of the gods, after which they fprinkled it with water j hence this feaft had the name LI of Xuflral, Luftration. of amphidromia. with the water, entertainment. L U S [ 266 The old women mixed faliva and duft The whole ended with a fumptuous The parents received gifts from their friends on this occafion. If the child was a male, their door was decked with an olive garland 5 if a female, with wool, denoting the work about which women were to be employed. L US IRA I ION, in antiquity, facrinces or cere¬ monies by which the ancients purified their cities, fields, armies, or people, defiled by any crime or im¬ purity. Some of thefe luilrations were public, others private. There were three fpecies or manners of per¬ forming Initiation, viz. by fire and fulphur, by water, and by air} which laft was done by fanning and agi¬ tating the air round the thing to be purified. Some of thefe luftratiohs were neceilary, i. e. could not be difpenfed with } as 1 ullrations of houfes in time of a plague, or upon the death of any perfon : others again W'ere done put of choice, and at pleafure. The public luflrations at Rome were celebrated every fifth year ; in which they led a victim thrice round the place to De purified, and in the mean time burnt a great quan¬ tity of perfumes. Their country luftrations, which they called ambarvalia, were celebrated before they began to reap their corn: in thofe of the armies, which they called armilu/1 rin, fome chofen foldiers, crowned with laurel, led the vidfims, which were a cow, a fheep, and a bull, thrice round the army ranged in battle- array in the field of Mars, to which deity the vidlims were afterwards facrificed, after pouring out many imprecations upon the enemies of the Romans. The luflrations of their flocks were performed in this man¬ ner : the fhepherd fprinkled them with pure water, and thrice furrounded his flieepfold with a compofition of favin, laurel, and brimftone fet on fire j and after¬ wards facrinced to the goddefs Pales an offering of milk boiled, wine, a cake, and millet. As for private houfes, they were luftrated with water, a fumigation of laurel, juniper, olive tree, favin, and fuch like j and the yidlim commonly was a pig. Luftrations made for particular perfons were commonly called expiations, and the vidlims piactila. There was’alio a kind of luftra¬ tion ufed for infants, by which they were purified, girls the third, and boys the ninth, day after their birth \ which ceremony was performed with pure water and fpittle. See the article Ambarvalia.—In their luf- tratory faerifices, the Athenians facrificed tvro men, one for the men of their city, and the other for the women. Divers of thefe expiations were auftere : fome fafted ; others abftained from all fenfual pleafures, and fome, as the priefts of Cybele, caftrated themfelves. The poftures of the penitents were different according to the different facrifices. The priefts changed their ha¬ bits according to the ceremony to be performed } white, purple, and black, were the moft ufual colours. They caft into the river, or at leaf! out of the city, the ani¬ mals or other things that had ferved for a luftration or facrifice of atonement j and thought themfelves threat¬ ened with fome great misfortune when by chance they trod upon them. Part of thefe ceremonies were abo- lifhed by the emperor Conftantine and his fucceffors : the reft fubfifted till the Gothic kings were mafters of Rome : under whom they expired, excepting what the popes thought proper to adopt and bring into the churcho Lute. ] L U T For the luftration, or rather expiation, of the ancient Luftratb Jews, fee Expiation. 11“ LUSTRE, the glofs or brightnefs appearing on any thing, particularly on manufactures of filk, wool, or fluff. It is likewife uied to denote the compofition or manner of giving that glofs. I he luftre of filks is given them by wafhing in foap, then clear water, and dipping them in alum water cold. 1 o give fluffs a beautiful luftre: For every eight pounds of fluff allow a quarter of a pound of linfeed ; boil it half an hour, and then ftrain it through a cloth, and let it (land till it is turned almoft to a jelly : after¬ wards put an ounce and a half of gum to diffolve 24 hours j then mix the liquor, and put the cloth into this mixture; take it out, dry it in the fliade, and prefs it. If once doing is not fufficient, repeat the opera¬ tion. Curriers give a luftre to black leather firft with juice of barberries, then with gum-arabic, ale, vinegar, and Flanders glue, boiled together. For coloured lea¬ ther, they ufe the white of an egg beaten in water. Moroccoes have their luftre from juice of barberries, and lemon or orange. For hats, the luftre is frequently given with common water: fometimes a little black dye is added : the fame luftre ferves for furs, except that for very black furs they fometimes prepare a luflre of galls, copperas, Roman alum, ox’s marrow, and other ingredients. _ Lustre, an appellation given to a branched candle- flick, when made of glais. See Branch and Jesse. LUS1 RINGS. A company was incorporated for making, dreflmg, and luftrating alamodes and luftrings in England, who were to have the foie benefit thereof, by flat. 4 imd j W illiam and Mary. And no foreign filks known by the name of lujlrings or alamodes are to be imported but at the port of London, &c. Stat, 9 and 10 William III. c. 43. See Silk. LUSIRUM, in Roman antiquity, a genera] mufter and review of all the citizens and their goods, which was performed by the cenfors every fifth year, who afterwards made a fokmn luftration. See the article Lustration. This cuftom was firft inftituted by Servius Tullius, about 180 years after the foundation of Rome. In courfe of time the luftra were not celebrated fo often ; for we find the fifth luftrum celebrated at Rome only in the 574th year of that city. LUiE, or Loting, among chemifts, a mixed, te¬ nacious, duflile fubftance, which grows folid by drying, and, being applied to the juncture of veffels, flops them up fo as to prevent the air from getting in or out. Lute is alfo a mufical inftrument with firings.-— The lute confifts of four parts, viz. the table, the body or belly, which has nine or ten lides : the neck, which has nine or ten flops or divifions, marked with firings : and the head or crofs, where the ferews for raifing and lowering the firings to a proper pitch of tone are fixed. In the middle of the table there is a rofe or pafiage for the found ; there is alfo a bridge that the firings are faftened to, and a piece of ivory between the head and the neck to which the other extremities of the firings are fitted. In playing, the firings are Truck with the right hand, and with the left the flops are prefieck The lutes of Bologna are efleemed the beft on account of the wood, which is faid to have an uncommon difpo- Sticti for producing a fweet found. LUTETIAj L U T [ 267 ] L U T tutetia, LUTETI A PARISIORUM, in Ancient Gcag; afihi], a Luther- town of the Parifii, in Gallia Celtica, fituated in an jfland in the Sequana or Seine. It received its name, as fome luppofe, from the quantity of clay, lutum, > hich is in its neighbourhood. J. Ctefar fortified and embel- liihed it, from which circumftance fome authors call it Juki Civitas. Julian the apottate refided there for iome time. It is now PARIS, the capital of France j fo call¬ ed from its name Pa^ijis in the lower age. LUTHER, Martin, the celebrated author of the Reformation, was a native of Eifleben in Saxony, and born in 14S3. Though his parents were poor, he re¬ ceived a learned education j during the progrefs of which, he gave many indications of uncommon vigour and acutenefs of genius. As his mind was naturally fufceptible of ferious impreffions, and tinidured with fome what of that religious melancholy which delights in the folitude and devotion of a monadic life, he re¬ tired into a convent of Augullinian friars ; where he acquired great reputation,- not only for piety, but for love of knowledge and unwearied application to idudy. The caufe of this retirement is faid to have been, that he was once ftruck by lightning, and his companion killed by his fide by the fame flafh. He had been taught the fcholaftic philofophy which was in vogue in thofe days, and made confiderable progrefs in it : but hap¬ pening to find a copy of the Bible which lay neglefted in the library of his monaltery, he applied himfelf to the ftudy of it with fuch eagernefs and affiduity, as quite aftonilhed the monks ; and increafed his reputa¬ tion for fanfdity fo much, that he was chofen profefior firft of philofophy, and afterwards of theology, at Wit- teroberg on the Elbe, where Frederic eleftor of Saxony had founded an univerfity. \fyhile Luther continued to enjoy the higheft repu¬ tation for fanftity and learning, Tetzel, a Dominican friar, came to Wittemberg in order to publilh indul¬ gences. Luther beheld his fuccefs with great con¬ cern ; and having firft inveighed againft indulgences from the pulpit, he afterwards publiihed 95 thefes, containing his fentiments on that fubje£L Thefe he propofed, not as points fully eftablilhed, but as fub- je&s of inquiry and difputation. He appointed a day on which the learned were invited to impugn them ei¬ ther in perfon or by writing 5 and to the whole he fubjoined folemn protellations of his high refpeft for the apoftolic fee, and of his implicit fubmilfion to its authority. No opponent appeared at the time pre¬ fixed *, the thefes fpread over Germany with aftonifii- ing rapidity, and were read with the greateft eager¬ nefs. Though Luther met with no opposition for fome little time after he began to publish his new- doctrines, it was not long before many zealous champions arofe to defend thofe opinions with which the wealth and power of the clergy were fo ftri&ly conne&ed. Their caufe, however, w-as by no means promoted by thefe endeavours j the people began to call in queftion even the authority of the caflon law and of the pope him- fclf.— I he court of Rome at firft defpifed thefe new doftrines and difputes ; but at laft the attention of the pope being railed by the great fuccefs of the re¬ former, and the complaints of his adverfaries, Luther was fummoned in the month of July 1518, to ap¬ pear at Rome, within 60 clays, before the auditor of the chamber. One of Luther’s adverfaries, named Prierias, who had written againft him, was appointed to examine his doftrines, and to decide concerning them. The pope wrote at the fame time to the elec¬ tor of Saxony, befteching him not to proteft a man whofe heretical and profane tenets were fo Shocking to pious ears ; and enjoined the provincial of the Au- guftinians to check by his authority the raftinefs of an arrogant monk, which brought difgrace upon their order, and gave offence and disturbance to the whole church. From thefe letters, and the appointment of his open enemy Prierias to be his judge, Luther eafily favv what fentence he might expeft at Rome j and there¬ fore discovered the utmoft folicitude to have his caufe tried in Germany, and before a lefs fufpefted tri¬ bunal. He wrote a fubmiSTive letter to the pope, in which he premifed an unreferved obedience to his will, for as yet he entertained no doubt of ihe divine ori¬ ginal of the pope’s authority ; and by the interceSIion of the other profeffors, Cajetan the pope’s legate in Germany was -appointed to hear and determine the caufe. Luther appeared before him without hesita¬ tion : but Cajetan thought it below his dignity to difpute the point with a per ion fo much his inferior in rank j and therefore required him by virtue of the apoftolic powers with which he was clothed, to retraft the errors w-hich he had uttered with regard to indul¬ gences and the nature of faith, and to abftain for the future from the publication of new and dangerous opinions 5 and at the lait forbade him to appear in his prefence, unlefs he propofed to comply with w-hat had been required of him. This haughty and violent manner of proceeding, together with fome other circumSfances, gave Luther’s friends fuch ftrong reafons to fufpeft that even the imperial fafe-conduft would not be able to proteft him from the legate’s power and refentment, that they prevailed on him fecretly to withdraw from AugSburg, where he had attended the legate, and to return to his own country. But before his departure, according to a form of which there had been fome examples, he prepared a folemn appeal from the pope, ill-informed at that time concerning his caufe, to the pope, when he Should receive more full intimation with refpeft to it.—Cajetan, enraged at Luther’s abrupt retreat, and at the publication of his appeal, wrote to the eleftor of Saxony, complaining of both ; and requiring him, as h.e regarded the peace of the church, or the authority of its head, either to fend that feditious monk a prifoner to Rome, or to baniSh him out of his territories. Frederick had hitherto, from political motives, protefted Luther, as thinking he might be of ufe in checking the enormous power of the fee of Rome; and though all Germany refounded with his fame, the eleftor had never yet admitted him into his prefence. But upon this demand made by the cardinal, it became neceffary to throw off- fomewhat of his former referve. He had been at great expence and beftowed much attention on found¬ ing a new univerfity, an objeft of confiderable import¬ ance to every German prince ; and forefeeing how fatal a blow the removal of Luther would be to its L I 2 reputation, T.ntKer. l u t r 268 ] reputation, he not only declined complying with either difference of the pope’s rtquefts, but openly difcovered great con¬ cern for Luther’s fafety. Ihe fftuation. of our reformer, in the mean time, became daily more and more alarming. He knew very well what were the motives which induced the elector to afford him proteftion, and that he could by no means depend on a continuance of his friendfhip. If he fhould be obliged to quit Saxony, he had no other afylum, and muff {land expofed to whatever punilhment the rage or bigotry of his enemies could inihdt j and fo ready were his adverfaries to condemn him, that he had been declared a heretic at Rome before the expiration of the 60 days allowed him in the citation for making his appearance. Not with- ffanding all this, however, he difcovered no fymptoms of timidity or remiffnefs j but continued to vindicate his own conduft and opinions, and to inveigh againft thofe of his adverfaries with more vehemence^than ever. Being convinced, therefore, that the pope would toon proceed to the moft violent mealures againft him, he appealed to a general council, which he affirmed to be the. reprefentative of the Catholic church, and iuperior in power to the pope, who being a fallible man, might err, as St Peter, the moft perfed of his predeceffors, had done. I he. court of Rome were equally afliduous in the mean time to crulh the author of thefe new doflrines which gave them fo much uneafinefs. A bull was iffued. by the pope, of a date prior to Luther’s ap¬ peal, in which he magnified the virtues of indulgences, and fubjedted to the heavieft ecclefiaftical cenfures all who prefumed to teach a contrary dodlrine. Such a clear decifion of the fovereign pontiff againft him might have been very fatal to Luther’s caufe, had not the death of the emperor Maximilian, which happened on January 17. 1519, contributed to give matters a different turn. Both the principles and intereft of Maximilian had prompted him to fupport the authori¬ ty of the fee of Rome : but, in confequence of his death, the vicariate of that part of Germany which is governed by the Saxon laws devolved to the eledtor of Saxony j and, under the fhelter of his friendly ad- miniftration, Luther himfelf enjoyed tranquillity j and his opinions took fuch root in different places, that they could never afterwards be eradicated. At the fame time, as the eledtion of an emperor was a point more interefting to the pope (Leo X.) than a theolo¬ gical controverfy which he did not underftand, and of which he could not forefee the confequences, he was fo extremely folicitous not to irritate a prince of fuch confiderable influence in the eledloral college as Fre¬ derick, that he difcovered a great unwillingnefs to pro¬ nounce the fentence of excommunication againft Lu¬ ther, which his adverfaries continually demanded with the moft clamorous importunity. From the reafon juft now given, and Leo’s natu¬ ral averfion to fevere meafures, a fufpenfion of pro¬ ceeding againft Luther took place for 18 months, though perpetual negociations were carried on during this interval in order to bring the matter to an ami¬ cable iffue. The manner in which thefe were con- dudled having given our reformer many opportunities of obferving the corruption of the court of Rome, its ©bftinacy in adhering to eftablifhed errors, and its in- 3 L U T about truth, however clearly propofed or Lntber. ftrongly proved, he began, in 1520, to utter feme' r— doubts, with regard to the divine original of the papal authc’ity, which he publicly dilputed with Eccius, one of his moft learned and formidable antagonifts. The dilpute w'as indecifive, both parties claiming the vic¬ tory.^ but it muff; have been very mortifying to the partizans of the Romifti church to hear fuch an effen- tial point of their doftrine publicly attacked. I he papal authority being once fulpefted, Luther proceeded to pulh on his inquiries and attacks from one dodfrme to another, till at laft he began to ftiake the firmeft foundations on which the wealth and power of the church were eftabliftied. Leo then began to perceive that there were no hopes of reclaiming fuch an incorrigible heretic; and therefore prepared to de¬ nounce the fentence of excommunication againft him. The college of cardinals was often affembled, in order to prepare the fentence with due deliberation ; and the ableft canonifts were confulted how it might be ex- preffed with unexceptionable formality. At laft it was iffued on the 15th of June 1520. Forty-one propofi- tions, extracted out of Luther’s works, were therein condemned as heretical, feandalous, and offenfive to pious ears ; all perfons were forbidden to read his writ- ings, upon pain of excommunication : fuch as had any of them in their cuftody were commanded to commit them to the flames j he himfelf, if he did not, within 60 days, publicly recant his errors, and burn his books, ■was pronounced an obftinate heretic, excommunicated, and delivered to Satan for the deftruftion of the flelh: and all fecular princes were required, under pain of in¬ curring the fame cenfure, to feize his perfon, that he might be puniftied as his crimes deferved. Luther was not in the leaft difconcerted by this fen¬ tence, which he had for fome time expefled. He re¬ newed his appeal to a general council j declared the pope to be that antichrift, or man of fin, whofe ap¬ pearance is foretold in the New Teftament j declaim¬ ed againft his tyranny with greater vehemence than ever j and at laft, by way of retaliation, having aflem- bled all the profefibrs and ftudents in the univerfity of Wittemberg, with great pomp, and in the prefence of a vaft multitude of fpe&ators, he caft the volumes of the oanon law, together with the bull of excommuni¬ cation, into the flames. The manner in which this ac¬ tion w as juftified gave ftill more offence than the a&ion itfelf. Having colle&ed from the canon law fome of the moft extravagant propofitions with regard to the plenitude and omnipotence of the pope’s power, as well as the fubordination of all lecular jurildiftion to his authority, he publiflied thele w'ith a commentary, point¬ ing out the impiety of fuch tenets, and their evident tendency to fubvert all civil government. On the acceflion of Charles V. to the empire, Lu¬ ther found himfelf in a very dangerous fituation. Charles, in order to fecure the pope’s friendfhip,. had determined to treat him with great feverity. His ea- gernefs to gain this point, rendered him not averfe to gratify the papal legates in Germany, who infifted, that without any delay or formal deliberation, the diet then fitting at Worms ought to condemn a man whom the pope had already excommunicated as an incorrigible heretic. Such an abrupt manner of proceeding, how¬ ever, being deemed unprecedented and unjuft by the members L U T [ 269 ] L U T tuthcr. members of the diet, they made a point of Luther’s appearing in perfon, and declaring whether he adhered or not to thofe opinions which had drawn upon him the cenfures of the church. Not only the emperor, but all the princes through whoffe territories he had to pafs, granted him a fafe-conduit j and Charles wrote to him at the fame time,, requiring his immediate at¬ tendance on the diet, and renewing his promiles of pro- teition from any injury or violence. Luther did not hefitate one moment about yielding obedience j and fet out for Worms, attended by the herald who had brought the emperor’s letter and fafe-conduit. While on his journey, many of his friends, whom the fate of Hufs, under fimilar circumftances, and notwithftand- ing the fame fecurity of an imperial fafe-condu£t, fill¬ ed with folicitude, advifed and entreated him not to rulh wantonly into the midft of danger. But Luther, fuperior to fuch terrors, filenced them with this reply, “ I am lawfully called (faid he) to appear in that city $ and thither will I go in the name of the Lord, though as many devils as there are tiles on the houfes were there combined againft me.” The reception which he met with at Worms, was fuch as might have been reckoned a full reward of all his labours, if vanity and the love of applaufe had been the principles by which he was influenced. Greater crowds aflembled to behold him than had appeared at the emperor’s public entry; his apartments w’ere daily filled with princes and perfonages of the higheft rank 5 and he was treated with an homage more fin- cere, as well as more flattering, than any which pre¬ eminence in birth or condition can command. At his appearance before the diet, he behaved with great de¬ cency, and with equal firmnefs. He readily acknow¬ ledged an excefs of acrimony and vehemence in his ccntroverfial writings j but refufed to retraft his opi¬ nions unlefs he were convinced of their falfehood, or to confent to their being tried by any other rule than the word of God. When neither threats nor intreaties could prevail on him to depart from this refolution, fome of the eeclefiaftics propofed to imitate the ex¬ ample of the council of Conflance, and by punithing the author of this peftilent herefy, who was now in their power, to deliver the church at once from fuch an evil. But the members of the diet refufing to ex- pofe the German integrity to frefh reproach by a fe- cond violation of public faith, and Charles being no lefs unwilling to bring a ftain upon the beginning ^)f his adminiftration by fuch an ignominious action, Lu¬ ther was permitted to depart in fafety. A few days after he left the city, a fevere edibt w as publifhed in the emperor’s name, and by authority of the diet, de¬ priving him, as an obftinate and excommunicated cri¬ minal, of all the privileges which he enjoyed as a fub- jeft of the empire, forbidding any prince to harbour or protect him, and requiring all to fejze his perfon as foon as the term fpecified in his protection fhould be expired. But this vigorous dfcree had no confiderable efleCt \ the execution of it being prevented partly by the mul¬ tiplicity of occupations which the commotions in Spain, together with the wars in Italy and the Low Coun¬ tries, created to the emperor \ and partly by a pru¬ dent precaution employed by the eltftor of Saxony, Luther’s faithful patron. As Luther, on his' return from Worms, was palling near Altenftrain in Thurin- Luther, gia, a number of horfemen in malks rulhed fuddenly ' out of a wood, where the eleCtor had appointed them to lie in wait for him, and furrounding his company, carried him, after difmifling all his attendants, to Wortburg, a ftrong caftle not far diftant. There the eleCtor ordered him to be fupplied with every thing neceflary or agreeable ; but the place of his retreat w as carefully concealed, until the fury of the prefentitorm againft him began to abate, upon a change in the po¬ litical fyftem of Lurope. In this folitude, where he remained nine months, and which he frequently called his PatmoSy after the name of that ifland to which the. apoftle John was banilhed, he exerted his ufual vigour and indullry in defence of his doCtrines, or in confu¬ tation of his adverfaries, publifliing feveral treatifes, which revived the fpirit of his followers, aftonilhed to a great degree and difheartened at the fudden difap- pearance of their leader. Luther weary at length of his retirement, appeared publicly again at Wittemberg, upon the 6th of March 1522. He appeared indeed without the elector’s leave) but immediately wrote him a letter to prevent his tak¬ ing it ill. The ediCt of Charles V. as fevere as it was, had given little or no check to Luther’s doCtrine j for the emperor was no fooner gone to Flanders, than his ediCt was negleCted and defpifed,. and the doCtrine feemed to fpread even fafter than before. Carolofta- dius, in Luther’s abfence, had puihed things on fafter than his leader 5 and had attempted to abolifh the ufe of mafs, to remove images out of the churches, to fet afide auricular confeflion, invocation of faints, the ab- ftaining from meats ; had allowed the monks to leave their monafteries, to negleCt their vows, and to marry j in fhort, had quite changed the doCtrine and difcipline of the church at Wittemberg : all which, though not againft Luther’s fentiments, was yet blamed by him, as being raflily and unfeafonably done.. Lutheranifm was ftill confined to Germany : it was not got to France ; and Henry VII I. of England made the moft rigorous aCts to hinder it from invading bis realm. Nay, he did fomething more : to {how his zeal for reli¬ gion and the holv fee, and perhaps his fkill in theo¬ logical learning, he wrote a treatife Of the /even faora- ments, againft Luther’s book Of the captivity of Babylon; which he prefented to Leo X. in October 1521. The pope received it very favourably \ and was fo well, pleafed with the king of England, that he compliment¬ ed him with the title of Defender of the Faith. Luther, however, paid no regard to his kingfhip : but anfwer- ed him with great fharpnefs, treating both his perfon and performance in the moft contemptuous manner. Henry complained of Luther’s rude ufage of him to the princes of Saxony j and Fiflrer, hi (hop of Rochef- ter, replied to his anfwer, in behalf of Henry’s treatife j but neither the king’s complaint, nor the bifhop’s re¬ ply. was attended with any vifible effcCts. Luther, though he had put a flop to the violent proceedings of Caroloftadius, now made open war w ith the pope and bifhops: and, that he might make the people defpife their authority as much as poflible, he wrote one book againft the pope’s bull, and another again ft the order falfely called the order of bi¬ fhops. The fame year, 1522, lie wrote a letter, dated July the 29th to the affembly of the ftates of Bohemia; in Luther. L U in which he affured them T r that lie was labouring to eftaolilh their do&rine in Germany, and exhorted them not to return to the communion of the church of Rome j and he publiihed alfo this year, a tranllation of the New ieftament in the German tongue, which was af¬ terwards correfted by himfelf and Melanfthon. This tranflation having been printed feveral times, and be¬ ing in every body’s hands, Ferdinand archduke of Au- itria, the emperor’s brother, made a very fevere edi6f, to hinder the farther publication of it ; and forbade all the fubje6ls of his imperial majefty to have any copies or it, or of Tuther’s other books. Some other princes followed his example ; and Luther was fo angry at it, that he wrote a treatife Of the feculxir power, in which he accufes them of tyranny and impiety. The diet of the empire was held at Nuremberg, at the end of the year; to which Hadrian VI. fent his brief, dated No¬ vember the 25th : for Leo X. died upon the 2d of De¬ cember 1521, and Hadrian had been elefted pope up¬ on the 9th of January following. In this brief, among other things, he obferves to the diet, how he had heard with grief, that Martin Luther, after the fentence of Leo X. which was ordered to be executed by the edift of Worms, continued to teach the fame errors, and daily to publilh books full of herefies : that it appear¬ ed 11 range to him, that fo large and fo religious a na¬ tion could be feduced by a wretched apoflate friar : that, nothing, however, could be more pernicious to Chtiftendom ; and that therefore he exhorts them to ufe their utmoft endeavours to make Luther, and the authors of thefe tumults, return to their duty : or, if they refufe and continue obftinate, to proceed againft them according to the laws of the empire, and the fe- . verity of the laft edicL The refolution of this diet was publilhed in the form of an eoift, upon the 6th of March 1523 ; but it had no effect in checking the Lutherans, who ftill went on m the fame triumphant manner. This year Luther wrote a great many pieces : among the reft, one upon the dignity and office of the fupreme magiftrate ; which Frederic ele&or of Saxony is faid to have been highly pleafed with. He lent, about the fame time, a writing in the German language to the Waldenfes,5 or. Pickards, in Bohemia and Moravia, who had ap¬ plied to him “ about war {hipping the body of Chrift in the eucharift.” He wrote alfo another book, which he dedicated, to the fenate and people of Prague, “about the inftitution of minifters of the church.’’ He drew up a form of faying mafs. He wrote a piece., entitled, An example of popifh dottrine and divinity'; which Dupin calls a fatire again/} nuns and thofe who profefs a monajiic life. He wrote alfo againft the vows of virginity, in his preface to his commentary on 1 Cor. viii. And his exhortations here were, it feems followed with eff.;k a wife (fays he), in obedience to my father’s commands; and haftened the confummation, in order to prevent impediments, and flop the tongues of flanderers.” It appears from his own confeffion, that this reformer was very fond of Mrs de Bore, and ufed to call her his Catharine, which made prophane people think and fay wicked things of 'him : “ And therefore (fays he) I mar¬ ried of a fudden, not only that I might not be obliged to hear the clamours which 1 knew would be raifed againft me, but to flop the mouths of thofe who re¬ proached me with Catharine de Bore.” Luther alfo gives us to underfland, that he did it partly as con¬ curring with his grand fcheme of oppofing the Catho¬ lics. Luther, notwithftanding, was not himfelf altogether fatisfied with thefe reafons. He did not think the Hep he had taken could be fufficiently juftified upon the principles of human prudence 3 and therefore we find him, in other places, endeavouring to account for it from a fupernatural impulfe. But whether there was any thing divine in it or not, Luther found himfelf extremely happy in his new Hate, and especially after his wife had brought him a fon. “ My rib Kate (fays 3:e in the joy of his heart) defires her compliments to you, and thanks you for the favour of your kind let¬ ter. . She is very well, through God’s mercy. She is obedient and complying with me in all things 3 and more agreeable, I thank God, than I could have ex¬ pelled 3 fo that I would not change my poverty for the wealth of Croefus.” He was heard to fay (Seek- endorf tells us), that he would not exchange his wife for the kingdom of Framce, nor for the riches of the Venetians 3 and that for three reafons : Becaufe (he had been given him by God, at the time when he implored the affilfance of the Holy Ghoft in finding a good wdfe 3 fecondly, Becaufe, though (lie was not without faults, yet (he had fewer than other women 3 and, thirdly, Becaufe (he religioufly obferved the conjugal fidelity (he owed him. There went at (lift a report, L U T that Catharine de Bore was brought to bed foon after Luther. her marriage with Luther 3 but Erafmus, who had v wrote that news to his friends, acknowledged the falfity of it a little after. His marriage, however, did not retard his a&ivity and diligence in the work of reformation. He revifed the Augfburg confeflion of faith, and apology for the Proteftants, when the Proteftant religion was firft efta- blifhed on a firm bafis. See Protestants and Re¬ formation. After this, Luther had little elfe to do than to fit down and contemplate the mighty work he had finifh- ed : for that a fingle monk (hould be able to give the church fo rude a (hock, that there needed but fuch another entirely to overthrow it, may very well feem a mighty work. He did indeed little elfe : for the re¬ mainder of his life was fpent in exhorting princes, dates, and univerfities, to confirm the reformation which had been brought about through him 3 and pub- lidiing from time to time fuch writings as might en¬ courage, direft, and aid, them in doing it. The em¬ peror threatened temporal punifhment with armies, and the pope eternal with bulls and anathemas 3 but Luther cared for none of their threats. His friend and co¬ adjutor Melandthon was not fo indifferent 3 for Me- lanflhon had a great deal of foftnefs, moderation, and diffidence in his make, which made him very uneafy, and even forrowful, in the prefent diforders. Hence we find many of Luther’s letters written on purpofe to fupport and comfort him under thefe feveral didreffes and anxieties. In the year 1533, Luther wrote a confolatory epidle to the citizens of Ofchatz, who had fuffered fome hardfhips for adhering to the Augfburg confef¬ lion of faith 3 in which, among other things, he fays 3 “ Ihe devil is the hod, and the world is his inn 3 fo that wherever you come, you fliall be fure to find this ugly hod.” He had alfo about this time a terrible controverfy with George duke of Saxony, who had fuch an averfion to Luther’s doftrine, that he obliged his fubje&s to take an oath that they would never em¬ brace it. However, 60 or 70 citizens of Leipfic were found to have deviated a little from the Catholic way in fome point or other, and they were known previ- oudy to have confulted Luther about it 3 upon which George complained to the eleftor John, that Luther had not only abufed his perfon, but alfo preached up rebellion among his fubjefts. The eleftor ordered Lu¬ ther to be acquainted with this 3 and to be told at the fame time, that if he did not clear himfelf of the charge, he could not poffibly efcape puniffiment. But Luther eafily refuted the accufation, by proving, that he had been fo far from dirring up his fubjefils againtt him, on the fcore of religion, that, on the contrary, he had exhorted them rather to undergo the greated hard- (hips, and even fuffer themfelves to be baniffied. In the year 1534, the Kible tr an dated by him into- German was fird printed, as the old privilege, dated at Bibliopolis, under the ele&or’s hand, diows : and it was publiffied the year after. He alfo publiffied this year a book againd maffes and the confecration of prieds, in which he relates a conference he had with the devil upon thofe points 3 for it is remarkable in Luther’s whole hidory, that he never had any conflicts of any kind within, but the devil was always his anta- goni(L,» ( 27i 1 L U T { Luther, ^onift. In February 1537, an aflembly was held at Smalkald about matters of religion, to which Luther and Melan&hon were called. At this meeting Lu¬ ther was feized with fo grievous an illnefs, that there wrere no hopes of his recovery. He was afflicted with the ftone, and had a ifoppage of urine for u days. In this terrible condition he w'ould needs undertake to tra¬ vel, notwithftanding all that his friends could fay or do to prevent him : his refolution, however, was attend- ed with a good effeftj for the night after his departure he began to be better. As he wras carried along, he made his will, in which he bequeathed his deteftation of Popery to his friends and brethren j agreeably to what he often ufed to fay : Pejiis eram vivus., moriens era mors tua, papa; that is, “ I was the plague of Popery in my life, and lhall continue to be fo in my death.” This year the pope and the court of Rome, finding it impoffible to deal with the Proteflants by force, be¬ gan to have recourfe to ftratagem. They affedted therefore to think, that though Luther had indeed car¬ ried things on with a high hand and to a violent ex¬ treme, yet what he had pleaded in defence of thefe meafures w-as not entirely without foundation. They talked with a feeming Ihow of moderation : and Pius III. who fucceeded Clement VII. propofed a reforma¬ tion firft among themfelves, and even went fo far as to fix a place for a council to meet at for that purpofe. But Luther treated this farce as it deferved to be treat¬ ed 3 unmalked and detefted it immediately 3 and, to ridicule it the more ftrongly, caufed a pi£l:ure to be drawn, in which was reprefented the pope feated on high upon a throne, fome cardinals about him with foxes tails on, and feeming to evacuate upwards and downwards (furfum deorfum repur gave, as Melchior Adam expreffes it). This was fixed over againft the title-page, to let the readers fee at once the fcope and defign of the book 3 which was, to expofe that cunning and artifice with which thofe fubtile politicians aifeft- ed to cleanfe and purify themfelves from their errors and fuperftitions. Luther publilhed about the fame time A Confutation of the pretended Grant of Con- ftantine to Sylvefler Bilhop of Rome 3 and alfo fome letters of John Hufs, written from his prifon at Con- ftance to the Bohemians. In this manner was Luther employed till his death, which happened in the year 1546. That year, accom¬ panied by Melandlhon, he paid a vifit to his own coun¬ try, w’hich he had not feen for many years, and re¬ turned again in fafety. But foon after he was called thither again by the earls of Mansfeldt, to compofe fome differences which had arifen about their bounda¬ ries. Luther had not been ufed to fuch matters 3 but becaufe he was born at Eifieben, a town in the territory of Mansfeldt, he was willing to do his country what fervice he could, even in this way. Preaching his laft fermon therefore at Wittemberg, upon the 17th of January, he fet off on the 23d 3 and at Hall in Saxony lodged with Juflus Jonas, with w'hom he ftaid three days, becaufe the waters were out. Upon the 28th, be paffed over the river with his three fons and X)r Jonas 3 and being in fome danger, he faid to the Hodtor, “ Do not you think it wmuld rejoice the devil exceedingly, if I and you, and my three fons, fhould be drowned ?” When he entered the territories 72 ] L U T of the earls of Mansfeldt, he wras received by 100 horfemen or more, and conduded in a very honour- able manner 3 but wras at the fame time fo very ill that it was feared he would die. He faid, that thefe fits of ficknefs often came upon him when he had any great bufinefs to undertake : of this, however, he did not recover 3 but died upon the 18th of February, in the 63d year of his age. A little before he expired, he admonilhed thofe that wrere about him to pray to God for ^ the propagation of the Gofpel: “ becaufe (laid he) the council of Trent, which had fat once or twice, and the pope, would devife ftrange things again!! it.” Soon after, his body was put into a leaden cof¬ fin, and carried with funeral pomp to the church at Eifleben, when Dr Jonas preached a fermon upon the occafion. The earls of Mansfeldt defired that his body fliould be interred in their territories 3 but the eleftor of Saxony infifted upon his being brought back to Wittemberg 3 which was accordingly done : and there he was buried with the greatell pomp that perhaps ever happened to any private man. Princes, earls, nobles, and ftudents without number, attended the proceffion ; and Melan&hon made his funeral ora¬ tion. A thoufand lies w’ere invented by the Papifts about Luther’s death. Some faid that he died fuddenly 3 others, that he killed himfelf 3 others, that the devil ftrangled him : others, that his corpfe flunk fo abomi¬ nably, that they were forced to leave it in the way, as it was carried to be interred. Nay, lies were invented about his death, even while he was yet alive. Luther, however, to give the moft effe&ual refutation of this account of his death, put forth an advertifement of his being alive 3 and, to be even with the Papifts for the malice they had fhown in this lie, wrote a book at the fame time to prove, that “ the papacy was founded by the devil.” Luther’s works w'ere colle&ed after his death and printed at Wittemberg in 7 vols folio. Catharine de Bore furvived her hulband a few years 3 and continued the firft year of her widowhood at Wittemberg, though Luther had advifed her to feek another place of refi- dence. She went from thence in the year 1547, when the town was furrendered to the emperor Charles V. Before her departure, ftie had received a prefent of 50 crowns from Chriftian HI. king of Denmark 3 and the elector of Saxony, and the counts of Mansfeldt, gave her good tokens of their liberality. With thefe additions to what Luther had left her, ftie had where¬ withal to maintain herfelf and her family handfomely. She returned to Wittemberg, when the town was re- ftored to the eleftor 3 where ftie lived in a very devout and pious manner, till the plague obliged her to leave it again in the year 1552. She fold what ftie had at Wittemberg : and retired to Torgau, with a refolu¬ tion to end her life there. An unfortunate mifchance befel her in her journey thither, which proved fatal to her. The horfes growing unruly, and attempting to run away, ftie leaped out of the vehicle ftie was convey¬ ed in 3 and, by leaping, got a fall, of which ftie died about a quarter of a year after, at Torgau, upon the 20th of December 1552. She was buried there in the great church, where her tomb and epitaph are ftill to be feen 3 and the univerfity of Wittemberg, which was then at Torgau becaufe the plague raged at Wittem¬ berg, Luther. L U T [ 273 ] LUX Imher berg, made a public programma concerning the funeral rl pomp. ^ut^ern‘, LUTHERANISM, the fentiments of Martin Lu- “ v ther with regard to religion. See Luther. Lutheranifm has undergone fome alterations fince the time of its founder.—Luther rejected the epiftle of St James as inconfillent with the doftrine of St Paul, in relation to juflification j healfo fet afide the Apoca- lypfe : both which are now received as canonical in the Lutheran church. Luther reduced the number of facraments to two, viz. baptifm, and the eucharilt: but he believed the impanation, or confubftantiation, that is, that the matter of the bread and wine remain with the body and blood of Chritt ; and it is in this article that the main difference between the Lutherans and Englilh churches confifts. Luther maintained the mafs to be no facrifice j ex¬ ploded the adoration of the hoft, auricular confeflion, meritorious works, indulgences, purgatory, the worfhip of images, &c. which had been introduced in the cor¬ rupt times of the Romifh church. He alfo eppofed the dodtrine of free will, maintained predeftination, and af- ferted our juftification to be folely by the imputation of the merits and fatisfadlion of Chrift. He alfo op- pofed the fallings in the Roman church, monaftical vows, the celibate of the clergy, &c. LUTHERANS, the Chrillians who follow the opi¬ nions of Martin Luther, one of the principal reformers of the church in the 16th century. See Luther. The Lutherans, of all Proteftants, are thofe who differ lead from the Romilh church ; as they affirm, that the body and blood of Chrill are materially pre- fent in the facrament of the Lord’s fupper, though in an incomprehenfible manner 5 and likewife reprefent fome religious rites and inftitutions, as the ufe of images in churches, the diftinguiffiing vedments of the clergy, the private confeffion of fins, the ufe of wafers in the adminiftration of the Lord’s fupper, the form of exorcifm in the celebration of baptifm, and other ce¬ remonies of the like nature, as tolerable, and fome of them as ufeful. . The Lutherans maintain, with regard to the divine decrees, that they refpedl the falvation or mifery of men, in confequence of a previous know¬ ledge of their fentiments and characters, and not as free and unconditional, and as founded on the mere will of God. Towards the clofe of the laft century, the Lutherans began to entertain a greater liberality of fentiment than they had before adopted though in many places they perfevered longer in fevere and defpotic principles than other Proteftant churches. Their public teachers now enjoy an unbounded liberty of diffenting from the decifions of thofe fymbols or creeds which were once deemed almoft infallible rules of faith and pradlice, and of declaring their diffent in the manner they judge the moft expedient. Molheim attributes this change in their fentiments to the maxim which they generally adopted, that Chriftians were ac¬ countable to God alone for their religious opinions j and that no individual could be juftly puniffied by the magiftrate for his erroneous opinions, while he con¬ ducted himfelf like a virtuous and obedient fubjeft, and made no attempts to difturb the peace and order of civil fociety. LUTHERN, in ArchiteSure. a kind of window Vol. XII. Part I, over the cornice, in the roof of a building *, Handing perpendicularly over the naked of a wall, and ferving to illuminate the upper ftory. ^ Lutherns are of various forms j as fquare, femicir- ' cular, round, called bull's eyes, flat arches, &c. LUTRA, in Zoology. See Mustela, Mammalia Index. LUTTI, Beneditto, an eminent painter, born at Florence in 1666. He was the difciple of Antonio Dominico Gabiani, and his merit was judged equal to that of his mafter : he painted few befide eafel pieces} and his works were much valued and fought for in England, France, and Germany. The emperor knight¬ ed him j and the eleCtor of Mentz, together with his patent of knighthood, fent him a crofs fet with dia¬ monds. Lutti was never fatisfied in finiffiing his pic¬ tures j yet though he often retouched them, they never appeared laboured. He died in 1724. LUTZEN, a town of Upper Saxony in Germany j famous for a battle fought here in 1632, when Gufta- vus Adolphus king of Sweden was killed. It is fituated on the river Elfier, in E. Long. 12. 37. N. Lat. 51. 20. LUXATION, is when any bone is moved out of its place of articulation, fo as to impede or deftroy its proper office or motion. See Surgery. LUXEMBURG, a city of the Auffrian Nether¬ lands, and capital of a duchy of the fame name. It is feated partly on a hill, and partly on a plain $ it is very ftrong both by art and nature. It is but indiffer¬ ently built, though there are fome good ftone houfes in it. There is nothing very remarkable among the ftruc- tures but the Jefuits church ; which is a handfome edifice, after the modern tafte. It was taken by Louis XIV. in 1684; who fo augmented the fortifica¬ tions, that it is now one of the ftrongeft towns in Eu¬ rope. It was ceded to Spain by the treaty of Ryf- wick j but the French took it again in 1701, and gave it up to the houfe of Auftria by the treaty of Utrecht. It is 25 miles fouth-weft of Treves, and 100 weft of Mentz. E. Long. 6. 10. N. Lat. 49. 52. Luxemburg, the duchy of, is one of the 17 pro¬ vinces of the Netherlands. It is bounded on the eaft by the archbilhopric of Treves $ on the fouth by Lorrain 5 on the weft, partly by Champagne, and partly by the bilhopric of Liege, which likewife, with part of Limburg, bound it on the north. It lies in the foreft of Ardenne, which is one of the moft famous in Europe. In fome places it is covered with moun¬ tains and w'oods, and in general it is fertile in corn and wine \ and here are a great number of iron mines. The principal rivers are the Mofelle, the Sour, the Ourte, and the Semoy. It belongs partly to the houfe of Auftria, and partly to the French j and Thionville is the capital of the French part. Luxemburg, Franpois Henry de Montmorenci, duke of, and marffial of France, a renowned general in the fervice of Louis XIV. was born in 1628. He was with the prince of Conde at the battle of Rocroy, in 1643 ; and in 1668 diftinguilhed himfelf at the con- quelt of Tranche Compte. In 1672, he commanded in chief the French army in Holland 5 when he de¬ feated the enemy near Woerden and Bodegrave, and was univerfally admired for the fine retreat he made in 1673. He became marftial of France in 1675 j gained the battle of Fleurs in 1690, that of Steenkirk Mm in Luthern II Luxem¬ burg. * ' LUX Lv xc m burg II Luxury. [ died in in 1692, and that of Nerwind in 1 693. He Verfaiiles in 1695. LUXURIANS FLOS, “ a luxuriant or double flower 5” a flower, fome of whofe parts are increafed in number, to the diminution or entire exclufion of others. -The parts that are augmented or multiplied in luxu¬ riant flowers, are the flower-cup and petals, which Linnaeus confiders as the teguments or covers of the flower y the parts that are diminilhed, or entirely ex¬ cluded, are the ftamina or chives, which the fame au¬ thor denominates the male organs of generation. Luxuriance in flowers is capable of the three follow¬ ing varieties. 1. A flower is faid to be MULTIPLIED (JIos multiple catus), when the increafe of tf|e petals is not fuch as to exclude all the ftamina: in this fenfe, flowers are pro¬ perly faid to be double, triple, or quadruple, according to the number of multiplications of the petals. 2. A flower is faid to be full (Jlos p/enus), when, by the multiplication of the petals, all the ftamina are excluded. Such are moft of the double flowers that engage the attention of florifts. 3. A flower is faid to be PROLIFIC (Jlos prolifer), which produces flowers, and fometimes leaves, from its centre. For a particular defcription of each of thefe kinds of luxuriance in flowers, fee the articles MuLTIPLICA- TUS Flos, PLENUS Flos, and PROLIFER Flos. Many natural orders of plants do not in any circum- ftances produce luxuriant flowers. Of this kind are the mafqued flowers of Tournefort, excepting calve’s- fnout; the rough-leaved, umbelliferous, ftarry plants, and fuch as flower at the joints, of Ray : fome umbel¬ liferous flowers, however, zxe prolific. The pea-bloom, or butterfly-fhaped flowers, are rare¬ ly rendered double j fome inftances, however, of luxu¬ riance, are obferved in a fpecies of lady’s finger, coro- nilla, and broom. All luxuriant flowers are vegetable monfters. Such as are perfe&ly full, by which we mean the greateft degree of luxuriance, cannot be propagated by feeds ; becaufe thefe, for want of impregnation, can never ri¬ pen. Full flowers therefore are very properly deno¬ minated by Linnaeus eunuchs. This higheft degree of luxuriance is very common in carnation, lychnis, ane¬ mone, flock, Indian crefs, rofe, marfh marigold, ra¬ nunculus, violet, peony, and narciffus. Flowers which do not exclude all the ftamina, per- fe£l their feeds. Of this kind are poppy, fennel-flower, campanula, and fome others. Some flowers, as thofe of the water-lily, fig-mari¬ gold, and cadlus, have many rows or feries of petals, without the number of ftamina being in the leaft dimi- niftied. Such flowers are by no means to be reckoned luxuriant, in the flighteft degree. Luxuriance in flowers is generally owing to excefs of nourifhment. LUXURY j voluptuoufnefs, or an extravagant in¬ dulgence in diet, drefs, and equipage. Luxury, among the Romans, prevailed to fuch a degree, that feveral laws were made to fupprefs, or at leaft limit it. The extravagance of the table be¬ gan about the time of the battle of A6fium, and con¬ tinued in great excefs till the reign of Galba. Pea- 274 1 LUX cocks, cranes of Malta, nightingales, venifon, wild and tame fowl,, were confidered as delicacies. A pro-' fufion of provifions was the reigning tafte. Whole wild boars were often ferved up, and fometimes they were filled with various fmall animals, and birds of different kinds: this difh they called the Trojan horfe, in allufion to the wooden horfe filled with foldiers! Fowls and game of all forts were ferved up in whole pyramids, piled up in difhes as broad as moderate tables. Lucullus had a particular name for each apartment ; and in whatever room he ordered his fer- vants to prepare the entertainment, they knew by the direftion the expence to which they were to go. When he flipped in the Apollo, the expence was fix¬ ed at 50,000 drachmce, that is 1250L M. Antony provided eight boars for 12 guefts. Vitellius had a large filver platter, faid to have coft a million of fe- Jlerces, called Minerva's buckler. In this he blended together the livers of gilt-heads, the brains of phea- fants and peacocks, the tongues of phenicopters, and the milts of lampreys. Caligula ferved up to his guefts pearls of great value diffolved in vinegar ; the fame w^as done alfo by Clodius the fon of iEfop the trage¬ dian. Apicius laid afide 90,000,000 of fejlerces, be- fides a mighty revenue, for no other purpofe but to be facrificed to luxury j finding himfelf involved in debt, he looked over his accounts, and though he had the fum of 10,000,000 of fejlerces ftill left, he poifoned himfelf for fear of being ftarved to death. The Roman laws to reftrain luxury were Lex Orchia, Fannia, Didia, Licinia, Cornelia, and many others : But all thefe were too little j for as riches increafed amongft them, fo did fenfuality. What were the ideas of luxury entertained in Eng¬ land about two centuries ago, may be gathered from the following paffage of Holinftied j who, in adifcourfe prefixed to his Hiftory, fpeaking of the increafe of luxury, fays, “ Neither do I fpeak this in reproach of any man, God is my judge j but to (how, that I do rejoice rather to fee how God has bleffed us with his good gifts, and to behold how that in a time wherein all things are grown to the moft exceflive prices, we yet do find means to obtain and atchieve fuch furniture as heretofore was impoffible. There are old men yet dwelling in the village where I remain, which have noted three things to be marveloufly al¬ tered in England within their found remembrance. One is the multitude of chimneys lately erefted ; whereas in their young days there w ere not above two or three, if fo many, in moft uplandilh towns of the realm (the religious houfes, and manor places of their lords, al¬ ways excepted, and peradventure fome great perfon- ages), but each made his fire againft a reredofs [fkreen] in the hall, where he dreffed his meat and dined.—The fecond is the great amendment of lodg¬ ing j for, faid they, our fathers and w7e ourfelves have lain full oft upon ftraw pallets covered only with a ftieet, under coverlits made of a dogfwaine or horhar- riots (to ufe their own terms), and a good log under their head inftead of a bolfter.—If it were fo that the father or goodman of the houfe had a mattrafs, or flock bed and {fleets, a fack of chaff to reft his head upon, he thought himfelf to be as well lodged as the lord of the town. So well were they con¬ tented, that pillows (faid they) were thought meet only Luxury, LUX [ 275 ] LUX Luxury, only for women in childbed $ as for fervants, if they —■v had any (heel above them it was well $ for feldom had they any under their bodies to keep them from prick¬ ing draws,' that ran oft through the canvas and their hardened hides.—The third thing they tell of, is the exchange of treene [wooden] platters into pewter, and wooden fpoons into diver or tin j for fo common were all forts of treene veflels in old times, that a man fhould hardly find four pieces pewter (of which one was per- adventure a fait) in a good farmer’s houfe. Agajn, In times paft, men were contented to dwell in houfes budded of fallow, willow, &c. fo that the ufe of oak was in a manner dedicated wholly unto churches, reli¬ gious houfes, princes palaces, navigation, &c. But now willow, &c. are reje&ed, and nothing but oak anywhere regarded ; and yet fee the change, for when our houfes were builded of willow, then had we oaken men $ but now that our houfes are come to be made of oak, our men are not only become willow, but a great many altogether of ftraw, which is a fore alteration. In thefe the courage of the owner was a fufficient de¬ fence to keep the houfe in fafety j but now the affurance of the timber mufl: defend the men from robbing. Now have we many chimneys, and yet our tenderlins com¬ plain of rheums, catarrhs, and pofes j then had we none but reredofes, and our heads did never ach. For as the fmoke in thofe days were fuppofed to be a fuffi¬ cient hardening for the timber of the houfe j fo it was reputed a far better medicine to keep the goodman and his family from the quacks or pofe $ wherewith, as then, very few were acquainted. Again, Our pewterers in time-paft employed the ufe of pewter only upon diffies and pots, and a few other trifles for fervice ; whereas now they are grown into fuch exquifite cunning, that they can in a manner imitate by infufion any form or fafhion of cup, difti, fait, bowl, or goblet, which is made by the goldfmith’s craft, though they be ever fo curious and very artificially forged. In fome places beyond the fea, a garniffi of good flat Engliffi pewter (I fay flat, becaufe difhes and platters in my time be¬ gan to be made deep, and like bafons, and are indeed more convenient both for fauce and keeping the meat warm) is efteemed fo precious as the like number of vefiels that are made of fine filver.” Particular inftances of luxury, in eating, however, might be adduced from an earlier period, furpaffing even the extravagance of the Romans. Thus, in the 10th year of the reign of Edward IV. (1470), George Nevill, brother to the earl of Warwick, at his inftal- ment into the archiepifcopal fee of York, entertained moft of the nobility and principal clergy, when his bill of fare was 300 quarters of wheat, 350 tuns of ale, 104 tuns of wine, a pipe of fpiced wine, 80 fat oxen, fix wild bulls, 1004 weathers, 300 hogs, 300 calves, 3000 geefe, 3000 capons, 300 pigs, 100 pea¬ cocks, 200 cranes, 200 kids, 20P0 chickens, 4000 pigeons, 4000 rabbits, 204 bitterns, 4000 ducks, 200 pheafants, 500 partridges, 200 woodcocks, 400 plo¬ vers, too curlews, 100 quails, 1000 egrets, 200 rees, 400 bucks, does, and roebucks, 1506 hot venifon paf- ties, 4000 cold ditto, iooq difhes of jelly parted, 4000 diihes of jelly plain, 4000 cold cuftards, 2000 hot cuf- tards, 300 pikes, 300 breams, eight feals, four porpuf- fes, 400 tarts. At this feaft the earl of Warwick was fie ward, the earl of Bedford treafurer, and Lord Haf- tings comptroller, with many more noble officers j 1000 luxury. ^ fervitors, 62 cooks, 515 menial apparitors in the ' kitchen.—But fuch was the fortune of the man, that after his extreme prodigality he died in the moft abje£l but unpitied poverty, vinSius jacuit in fumma inopia. And as to drefs, luxury in that article feems to have attained a great height long before Holinffied’s time : For in the reign of Edward III. we find no fewer than feven fumptuary laws paffed in one feffion of parliament to reftrain it. It was enafted, that men fervants of lords, as alfo of tradefmen and artifans, fhallbe content with one meal of fiffi or fleffi every day j and the other meals, daily, fliall be of milk, cheefe, butter and the like. Neither ffiall they ufe any ornaments of gold, filk, or embroidery j nor their wives and daughters any veils above the price of twelvepence. Artifans and yeomen ffiall not wear cloth above 40s. the whole piece (the fineft then being about 61. per piece), nor the or¬ naments before named. Nor the women any veils of filk, but only thofe of thread made in England. Gen¬ tlemen under the degree of knights, not having 100I. yearly in land, ffiall not wear any cloth above 44- marks the whole piece. Neither ffiall they or their fe¬ males ufe cloth of gold, filver, or embroidery, &c. But efquires having 2Col. per annum or upwards of rent, may wear cloths of five marks the whole piece of cloth *, and they and their females may alfo wear fluff of filk, filver, ribbons, girdles, or furs. Merchants, citizens, burghers, and artificers or tradefmen, as well of London as elfewhere, who have goods and chattels of the clear value of 500I. and their females, may wear as is allowed to gentlemen and efquires of tool, per an¬ num. And merchants, citizens, and burgeffes, worth above locol. in goods and chattels, may (and their fe¬ males) wear the fame as gentlemen of 200I. per annum. Knights of 200 marks yearly may w'ear cloth of fix marks the cloth, but no higher j but no cloth of gold, nor furred with ermine : but all knights and ladies ha¬ ving above 400 marks yearly, up to 1000I. per annum, may wear as they pleafe, ermine excepted j and they may wear ornaments of pearl and precious ftones for their heads only. Clerks having degrees in cathedrals, colleges, &c. may wear as knights and efquires of the fame income. Plowmen, carters, ftiepherds, and fuch like, not having 40s. value in goods or chattels, fliall wear no fort of cloth but blanket and fuffet lawn of 12d. and ffiall wear girdles and belts; and they fliall only eat and drink fuitable to their ftations. And whofo- ever ufes other apparel than is preferibed by the above laws ffiall forfeit the fame. Concerning the general utility of luxury to a ftate, there is much difference of opinion among political writers. Baron Montefquieu aflerts, that luxury is ne- ceffary in monarchies, as in France \ but ruinous to de¬ mocracies, as in Holland. With regard therefore to Britain, whofe government is compounded of both fpe- cies, it is held to be a dubious queftion, how far private luxury is a public evil 5 and, as fuch, cognizable by public laws. And indeed our legiflators have feveral times changed their fentiments as to this point *, for for¬ merly there were a number of penal laws exifting t,o re¬ ftrain excefs in apparel, chiefly made in the reigns of Edward III. IV. and Henry VIII. a fpecimen of which we have inferted above. But all of them it appeared expedient to repeal at an after period. In fa Lydia, race, called Mertnnadce ; who were alfo, properly fpeak- - » ' ing, Heraclidse, being defcended from a fon of Her¬ cules by Omphale. Gyges reigned 38 years, and was fucceeded by his fon Ardyes. This prince carried on the war againft the Milefians which his father had begun, and poffeffed himfelf of Priene, in thofe days a ftrong city. In his reign the Cimmerians invaded and overran all Alia Minor j but what battles were fought between the Lydians and thefe invaders, and with what fuccefs, we find no where mentioned. Herodotus only informs us, that in the time of Ardyes they pofieffed themfelves of Sardis, the metropolis of Lydia, but could never reduce the caftle. Ardyes reigned 49 years, and was fucceeded by his fon Sadyattes, who reigned 12 years, and warred moft part of his reign with the Milefians. After him came his fon Alyattes, who for the fpace of five years continued the war which his father had begun againft the Milefians, ravaging their country, and about harveft time carrying away all their corn yearly, in order to oblige them, for want of provifions, to furrender their city, which he knew he could not reduce any other way, the Milefians being at that time matters of the fea. In the I 2th year of this war the Lydians having fet fire to the corn in the fields, the flames wrere carried by a violent wind, which happened to blow at that time, to the temple of Minerva at Affefus, and burnt it down to the ground. Not long after, Alyattes falling fick, fent to confult the oracle at Delphos; which refufed to return any anfwer till fuch time as the king fhould rebuild the temple of Minerva at Aflefus. Alyattes, thus warned, defpatched ambafladors to Miletus, enjoining them to conclude a truce with the Milefians till the temple fhould be rebuilt. On the arrival of the ambaffadors, Thrafy- bulus, then king of Miletus, commanded all the corn that was at that time in the city to be brought into the market-place, ordering the citizens 'to banquet in public, and revel as if the city w'ere plentifully ftored with all manner of provifions. This ftratagem Thrafybulus praflifed, to the end that the ambaffadors feeing fuch quantities of com, and the people every¬ where diverting themfelves, might acquaint their mafter with their affluence, and divert him from purfuing the war. As Thrafybulus had defigned, fo it happened j for Alyattes, who believed the Milefians greatly dif- treffed for provifions, receiving a different account from his ambaffadors, changed the truce into a lafting peace, and ever afterwards lived in amity and friendfhip with Thrafybulus and the Milefians. He was fucceeded, after a reign of 57 years, by his fon Crcefus, whofe uninterrupted profperity, in the firft years of his reign, far eclipfed the glory of all his predeceffors. He was the firft that made war on the Ephefians, whofe city he befieged and took notwithftanding their confecrating it to Diana, and fattening the walls by a rope to her temple, which was feven ftadia diftant from the city. After the reduction of Ephefus he attacked, under various pretences, the lonians and Alolians, obliging them, and all the other Greek ftates of Afia, to pay him a yearly tribute. Having met with fuch extraordinary fuccefs by land, the Lydian prince determined to render his power equally confpicuous by fea. For this purpofe he thought ferioufly of equipping a fleet j with which he purpofed to invade and conquer the Grecian iflands dire&ly fronting his dominions. But this defign, which, confidering the flow progrefs in maritime power among the nations moft diligent to attain it, rvould probably have failed of fuccefs, was prevented by the advice of a philofophical traveller, conveyed in fuch a lively turn of wit as ealily changed the refolution of the king. Bias of Priene in Ionia, fome fay Pittacus of Mitylene in the ifle of Lelbos, while he travelled after the Grecian cuftom, from curiofity and a love of knowledge, was prefented to Crosfus at the Lydian court j and being alked by that prince what news from Greece $ he anfwered with a republican freedom, that the iflanders had collefted powerful fquadrons of cavalry wdth an intention of invading Lydia. “ May the gods grant (faid Croefus), that the Greeks, who are unacquainted with horfemanfliip, fliould attack the difeiplined valour of the Lydian cavalry; there would foon be an end to the conteft.” “ In the fame manner (replied Bias), as if the Lydians, who are totally unexperienced in naval affairs, fhould invade the Grecians by fea.” Struck by the acutenefs of this unexpefted obfervation, Crcefus defifted from his intended expedition againft the iflands, and inftead of employing new means for extending his conquefts, determined peaceably to enjoy the lau¬ rels which he had won, and to difplay the grandeur which he had attained. But his happinefs was foon after allayed by the death of his favourite fon Atys, who was unfortunately killed at the chafe of a wild boar. For this lofs he continued difconfolate for two years and in a ftate of inaftion, till the conquefts of Cyrus, and growing power of the Perfians, roufed up his martial fpirit, and diverted his mind to other thoughts. He apprehended that the fuccefs which attended Cyrus in all his undertakings, might at laft prove dangerous to himfelf, and therefore refolved to put a flop, if poflible, to his progrefs. In taking this refolution, which might probably be attended with the moft important confequences, he was defirous to learn the will of heaven concerning the iffue of the war. The principal oracles which he confulted were thofe of Branchis in Ionia, of Hammon Jn Libya, and of Delphi in Greece. Among thefe refpedted Ihrines, the oracle of Delphi maintained its afeendant, as the moft faithful interpreter of fate. Croefus was fully perfuaded of its veracity $ and defirous generoufly to compenfate for the trouble which he had already given, and ftill meant to give, the priefts of Apollo, he facrificed 3000 oxen to the god, and adorned his Ihrine with dedications equally valuable for the work- manftiip and for the materials; precious veffels of filver, ewers of iron beautifully inlaid and enamelled j various ornaments of pure gold, particularly a golden lion weighing ten talents, and a female figure three cubits or near five feet high. In return for thefe mag¬ nificent prefents, the oracle, in ambiguous language, flattered Crcefus with obtaining an eafy viftory over his enemies, and with enjoying a long life and a pro- fperous reign. The god at the fame time enjoined him to contract an alliance with the moft powerful of the Grecian ftates. Elevated with thefe favourable predictions of Apollo, Croefus prepared to yield a ready obedience to the only condition required on his part for the accomplifhment of his afpiring purpofe. Not deeming himfelf fufficiently acquainted with the affairs of Greece, to know what partiQulaj- L Y jy r 280 ] LTD Lydia, particular republic was meant by the oracle, he made particular inquiry of thofe beft informed concerning the ftate of Europe j and difcovered, that among all the members of the Grecian confederacy, the Athenians and Lacedtemonians were juftly entitled to the pre¬ eminence. In order to learn which of thefe communi¬ ties deferved the epithet of tnnjl powerful^ it was neceffary to fend ambaffadors into Greece. The Lydians defpatched with this important commiffion, foon difcovered that the Athenians after having been long haraffed by internal diflenfions, were actually governed by the tyrant Pififtratus. The Spartans, on the other hand, though anciently the worft regulated of all the Grecian communities, had enjoyed domeftic peace and foreign profperity ever fince they had adopted the wife inftitutions of Lycurgus. After that memorable period, they had repeatedly conquered the warlike Argives, triumphed over the hardy Arcadians j and notwithilanding the heroic exploits of Ariftomenes, fubduedand enflaved their unfortunate rivals of Meffene. To the Lydian ambaffadors, therefore, the Spartan republic appeared to be pointed out by the oracle as the community whofe alliance they were enjoined to folicit. Having repaired accordingly to Sparta, they were introduced not only to the kings and fenate, but, as the importance of the negociation required, to the general affembly of the Lacedaemonians, to whom they, in few words, declared the obje£l of their commiflxon ; “ We are fent, O Lacedaemonians! by Croefus, king of the Lydians and of many other nations, who being commanded by the oracle of Apollo to feek the friendlhip of the moft powerful people of Greece, now fummons you, who juftly merit that epithet, to become his faithful allies, in obejlience to the will of the god whofe authority you acknowledge.” The Lacedasmonians, pleafed with the alliance of a warlike king, and ftill more with the fame of their valour, readily accepted the propofal. To the ftrift connexion of an offenfive and defenlive league, they joined the more refpefted ties of facred hofpitality. A few years before this tranfa&ion, they had fent to purchafe gold at Sardis for making a ftatue of Apollo. Croefus had on that occafion gratuitoufly fupplied their want. Remembering this generofity, they gave the Lydian ambafladors at their departure, as a prefent for their mafter, a veffel of brafs containing 300 amphoras (above 12 hogfheads), and beautifully carved on the outfide with various forms of animals. Croefus, having thus happily accompliftied the de- Egn recommended by the oracle, was eager to fet out upon his intended expedition. He had formerly en¬ tered into alliance with Amafis king of Egypt, and Labynetus king of Babylon. He had now obtained the friendftiip of the moft warlike nation of Europe. The newly raifed power of Cyrus and the Perfians feemed incapable ef refilling fuch a formidable confe¬ deracy. Elevated with thefe flattering ideas of his own in¬ vincible greatnefs, Croefus waited not to attack the Perfian dominions until he had collefted the ftrength of his allies. The fanguine impetuofity of his temper, unexperienced in adveriity, unfortunately precipitated him into meafures no lefs ruinous than daring. At¬ tended only by the arms ef Lydia, and a numerous band of mercenaries, whom his immenfe wealth enabled him at any time to call into his fervice, he marched Ljdi*. towards. the river Halys j and having crofled ^with much difficulty that deep and broad ftream, entered the province of Cappadocia, which formed the weftern frontier of the Median dominions. That unfortunate country foon experienced all the calamities of invafion. The Pterian plain, the moft beautiful and the moft fertile diftridt of Cappadocia, was laid wafte; the ports of the Euxine, as well as feveral inland cities, w^ere plundered j and the inoffenfive inhabitants were either put to the fword or dragged into captivity. Encouraged by the unrefifting foftnefs of the natives of thofe parts, Croefus was eager to puffi forwards j and if Cyrus did not previoufly meet him in the field, he had determined to proceed in triumph to the moun¬ tains of Perfia. Againft this dangerous refolution he was in vain exhorted by a Lydian named Sandanisj who, when alked his opinion of the war, declared it with that freedom which the princes of the eaft have in every age permitted, amidft all the pride and ca¬ prices of defpotic power, to men diftingulhed by the gifts of nature or education. “ You are preparing, O king, to march againft a people who lead a labo* rious and a miferable life j whole daily fubfiftence is often denied them, and is always fcanty and precarious j who drink only water, and who are clothed with the ikins of wild beafts. What can the Lydians gain by the conqueft of Perfia j they who enjoy all the ad¬ vantages of which the Perfians are deftitute ? For my part, I deem it a bleffing of the gods, that they have not excited the warlike poverty of thefe miferable bar¬ barians to invade and plunder the luxurious wealth of Lydia.” The moderation of this advice was rejected by the fatal prefumption of Croefus ; who confounding the dictates of experienced wifdom with the mean fug- geftions of pufillanimity, difmiffed the counfellor with contempt. Meanwhile, the approach of Cyrus, who was not of a temper to permit his dominions to be ravaged with impunity, afforded the Lydian king an opportunity of bringing the war to a more fpeedy iffue than by his in¬ tended expedition into Perfia. The army of Cyrus gradually augmented on his march : the tributary princes cheerfully contributing with their united ftrength towards the affiftance of a mafter whofe va¬ lour and generofity they admired, and who now took arms to protect the fafety of his fubje&s, as well as to fupport the grandeur of his throne. Such was the ra¬ pidity of his movement, efpecially after being inform¬ ed of the deftru&ive ravages of the enemy in Cappa¬ docia, that he arrived from the fliores of the Cafpian to thofe of the Euxine fea before the army of Croefus had provided the neceffaries for their journey. That prince, when apprifed of the neighbourhood of the Perfians, encamped on the Pterian plain ; Cyrus like- wife encamped at no great diflance j frequent Ikirmilhes happened between the light troops ; and at length a general engagement was fought with equal fury and perfeverance, and only terminated by the darknefs of night. The lofs on both fides hindered a renewal of the battle. The numbers, as well as the courage of the Perfians, much exceeded the expectation of Croe¬ fus. As they difcovered not any intention to harafe his retreat, he determined to move back towards Sar¬ dis, to fpend the winter in the amufements of his pa¬ lace j Lydia. L Y D [ 281 ] L Y D lace j and after fummoning his numerous allies to his ftandard, to take the field early in the fpring with fuch increafe of force as feemed fufficient to overpower the Perfians. But this defign was defeated by the careful vigilance of Cyrus. That experienced leader allowed the ene¬ my to retire without moleftation ; carefully informing himfelf of every ftep which they took, and of every meafure which they feemed determined to purfue. Patiently watching the opportunity of a juft revenge, he waited until Croefus had re entered his capital, and had diihanded the foreign mercenaries, who compofed the molt numerous divifion of his army. It then feem¬ ed the proper time for Cyrus to put his Perfians in motion \ and fuch was his celerity, that he brought the firlt news of his own arrival in the plain of Sardis. Croefus, whofe lirmnefs might well have been lhaken by the imminence of this unforefeen danger, was not wanting on the prefent occafion to the duties which he owed to his fame and the luftre of the Lydian throne. Though his mercenaries were difbanded, Iws own lub- jefts, who ferved him from attachment, who had been long accuftomed to victory, and who were animated with a high fenfe of national honour, burned with a defire of enjoying an opportunity to check the daring in foie nee of the invaders. Croefus indulged and en¬ couraged this generous ardour. The Lydians in that age fought on horfeback, armed with long fpears ; the ft length of the Perfians confided in infantry. They were fo little accullomed to the ufe of horfes, that ca¬ mels were almolt the only animals which they employ¬ ed as hearts of burden. This circumrtance fug gelled to a Mede, by name Harpagu/, a ftratagem, which being communicated to Cyrus, was immediately adopt¬ ed with approbation by that prince. Harpagus, hav¬ ing obferved that horfes had a ftrong averfion to the ftiape and fmell of camels, advifed the Perfian army to be drawn up in the following order : All the camels which had been employed to carry baggage and pro- vifions were colledfed into one body, arranged in a long line fronting the Lydian cavalry. The foot foldiers ot the Perfians were polled immediately behind the line, and placed at a due dirtance. The Median horfe (for a few fquadrons of thefe followed the rtandard of Cy¬ rus) formed the rear of the army. As the troops on both Tides approached to join battle, the Lydian caval¬ ry, terrified at the ur.ufual appearance of the camels, mounted with men in arms, were thrown into diior- der, and turning their heads, endeavoured to efeape from the field. Crocfus, who perceived the eonfuliun, was ready to defpair of his fortune ; but the Lydians, abandoning their horfes, prepared with uncommon bravery to attack the enemy on foot. Their courage deferved a better fate ; but unaccuftomed as they were to this mode of fighting, they were received and repel¬ led by the experienced valour of the Perfian infantry, and obliged to take refuge within the fortified ftrength of Sardis, where they imagined themfelves fecure. The walls of that city bid defiance to the rude art of at¬ tack, as then praftifed by the moil warlike nations. If the Perfian army ihould invert it, the Lydians were provided with provifions for feveral years •, and there was reafon to expect, that in a few months, and even weeks, they would receive fuch affillance from Egypt, .Babylonia, and Greece (to which countries, they had Vol. XII. Part I. already fent ambaffadors), as would oblige the Fenians to raife the fiege. The Lydian minifters defpatched into Greece met with great fympathy from the Spartans. That people were particularly gbfervant of the faith of treaties 5 and while they punithed their enemies with unexampled fe- verity, they behaved with generous companion towards thofe whom they had once accepted for allies. I hey immediately retolved therefore to fend him a fpeedy and effectual relief-, and for this purpofe affembled their troops, made ready their vtffels, and prepared every thing neceflary for the expedition. The valour of the Spartans might perhaps have upheld the finking empire of Lydia j but before their armament could let fail, Crccfus was no longer a love- reign. Notwithftanding the ifrength of Sardis, that city had been taken by ftorm on the 20th day of the fiege ; the wallshaving been fealed in a quarter, which, appearing altogether inaccefiible, was too carelefsly guarded. This was effected by the enterprife of Hy- reades a Mede, who accidentally obferved a centinel defeend part of the rock in order to recover his hel¬ met. Hyreades was a native of the mountainous pro¬ vince of Mardia, and being aceudomed to clamber over the dangerous precipices of his native country, refolved to try his activity in parting the rock upon which he had difeovered the Lydian. The delign was more eafily accomplifhed than he had reafon to ex¬ pert : emulation and fuccefs encouraged the braveft of the Perfians to follow his example j thefe were fup- ported by greater numbers of their countryn'en ; the garrifon of Sardis was furprifed ; the citadel stormed } the rich capital of Lower Alia 1'ubjeCted to the venge¬ ful rapacity of an indignant vihior. Thus, ended the ancient kingdom of Lydia, which continued fubjeft to the Perfians till they alfo were conquered by the Ma¬ cedonians. For the fate of the Lydian monarch, fee the article Croksus. LYDIAT, Thomas, a learned Englifli divine, born in 1572, and educated at Oxford. About the year 1609, he became acquainted with Dr James Ufher, afterwards arc’.ibilhop of Armagh, who carried him to Ireland. He was at Dublin college for. about two years, after winch he returned to England ; and the reftory of Alkrmgton becoming vacant, he was prefented to it: but at length, being engaged for the debts (if a near relation, which for the prefent he was unable to pay, having before fpent his patrimony in printing feveral books, he was lent to prifon } and was confined at Oxford, in the King’s Bench,, and elfe- where, till Sir William Bofwell, a generous patron of learned men, Dr Robert Pink, warden of New college, Bifhop IJlher, and Dr Laud difeharged the debt. In the civil wars, he fullered much in his reflory of Alk- ringt&n from the parliament party ; was four times pillaged to the value of at leait 70I.; and was forced for a quarter of a year together to, borrow a fhirt to fhift himfelf. He died in 1646. He wrote fome pieces in Englifh, and many works in Latin, on chronology and natural hiflory. LYDIUS lapis, in the natural hirtoty of the an¬ cients $ the name of the flone ufed by way of touehftone for the trial of gold and filver, and called by fome He- radius laf>ir; both of which names were alfo applied by the ancients to the loadrtonej and lienee has ariferj, N n n.a Ly.i II Lydi L Y M [ 2 Ly^us no fnaall mifunderflanding of their works. Pliny has L)melUejs.0b‘'e.rvef^ V13*" h'adftone and touchftone were ——v—~ at tlfTie3 caii^d Lydius and Htradius lapis. . * ae rue Lydius, or the touchilone, was an- cientiV found only in the river 1 molus ; but was after¬ wards found in many other places, and is now very common in many of the German rivers. The ancients give us very remarkable-and circumftantial accounts of tne ufes they made cf it; and it is plain they were able to difcern the alloys of gold by means of it with very great exaftnef?. \Ve at prefent ufe feveral different Itones under this name, and for the fame purpofe. In Italy, a green marble called verde/lo, is moft frequent¬ ly ufedj and with us, very frequently fmall pieces of hafalt. L V GEUM, a genus of plants belonging to the tri- andria clafs y and in the natural method ranking under the fourth order, Graminn. See Botany Index. LYGII, Ligii, Lugii, or Logiones, in Ancient Geo- gnaphy, a people of Germany, to the weft of the Viftu- la, where it forms a bend like a crefcent 5 Ligri, (Dio); Lugii, (Strabo) $ Logiones, (Zoftmus). I'heir name Lug it is conjectured to be derived from their mutually cone confederacy or league. The Viftula was their boundary to the north, eaft, and fouth, with Mount Afciburgius to the weft. Now the whole of that coun¬ try lies in Poland, on this fide the Viftula. .LYING-in women. See Midwifery. L TING-to, or Lying by, the fituation of a fhip, when Ihe is retarded in her courfe, by arranging the fails in fuch a manner as to counteract each other with nearly an equal effort, and render the fhip almoft immoveable, with refpect to her progreflive motion, or headway. A fhip is ufually brought-to by the main and fore top fails, one of which is laid aback, whilft the other is full; fo that the latter pufhes the ftvip forward, whilft the former refills this impulfe, by forcing her aftern. This is particularly praftiied in a general engagement, when hoftile fleets are drawn up in two lines of battle oppo- fite each other. It is alfo ufed to wait for fome other ftiip, either approaching or expedted ; or to avoid pur- iuing a dangerous courfe, efpecially in dark or foggy weather. LYME-regis, a fea port town of Dorfetfhire in England, 148 miles from London. It lies near the fea, on the very borders of Devonfhire, in a cavity between two rocky hdls, which makes it difficult of accefs. As it lies on the declivity of a hill, the houfes make a good fhow, rifing one above another y and fome of them are built of free-ftone, and covered with blue flate. The number of inhabitants in 1801 was eftimated at 1451. The corporation confifts of a mayor (who is juftice of peace during his mayoralty and the year after, and in the third year both juftice and coroner), a recorder, 15 capital burgeffes, and a town clerk. I his place had formerly a very flourifh- ing trade to France, Spain, the Straits, Newfound¬ land, and the Weft Indies; during which, the cuftoms amounted fome years to i6,oool. But it Hands on luch a high fteep rock, that the merchants are obliged to load and unload their goods at a place a quarter of a mile oft, called the Cobb, originally built in the reign of Edward III. which cofts a great fum to main¬ tain, but forms fuch a harbour as perhaps is not to be equalled in the world, the fhips being fheltered 82 ] L Y N by a high thick Hone wall, raifed in the main fea Lvme.reci a good way from the fhore, broad enough for carriages II and warehoufes, and the cuftomhoufe officers have one Lyncurbra \ upon it. The cellars of the low part of the town, near the fea, are however often overflowed by the fpring tides 10 or 12 feet. There are guns planted for de¬ fence both of the Cobb and the town, the fhore here being very proper for batteries. The cuftomhoufe ftands on pillars, with the corn market under it. There is an alms-houfe in Church-ftreet, alfo Prefhyterian and Anabaptift meeting-houfes. The town hall is near Broad-ftreet. The church ftands at the eaft end of the town on a rifing ground. The market here is on I riday, and there are two fairs in the year. We read that in 774, the Saxon king Kinwulf gave land here¬ abouts to the church of Sherborn, for the boiling of fait there to fupply its neceflities. At this place the duke of Monmouth landed in 1685. A few years ago above 20ool. worth of gold and filver coin of Char. 1. and II. were difeovered by feme labourers. LYMINGTON, a borough town of Hampfhire in England, 97 miles fouth-weft of London. It ftands about a mile from the channel running between the main land and the ifle ol Wight; and has a harbour for yeflels of confiderable burden. The tide flows near a mile above the town. It has a market on Saturdays; and fends two members to parliament. The population in 1801 was eftimated at 2378. LYMPH, a fine colourlefs fluid, feparated in the body from the mafs of blood, and contained in peculiar veflels called lymphatics. See Anatomy. LYMPH YE A, were artificial caves or grottos a- mongft the Romans, furnifhed with a great many tubes, canals, and various hydraulic apparatus, through- which the water gufhed out upon the fpe&ators unex- pefledly whilft they were admiring the beautiful ar- ragement of the fhell-work in the grotto. LYMPHATT, was a name given by the Romans to fuch as were feized with madnefs. It is fuppoftd to be ufed for Nymphati, becaufe the ancients imagined that every perfon who had the misfortune to fee a Nymph was inftantly ftruck with phrenzy. Lymphati may indeed fignify “ madmen,” as derived from lym- pha, “ water,” over which element the Nymphs were thought to prefide r But it appears moft likely, that diftrafted people were called lymphati, from the cir- cumftance of madmen’s being affefled with the hydro- phobia or dread cf Water after ‘he bite of a mad dug ^ for this peculiarity, in cafes of canine madnefs, was not unknown to the Romans. LYNCEUS, in fabulous hiftory, one of the 50 fons- of EEgeus, married Hypermneftra, one of the 50 daugh¬ ters of Danaus. See Hyfermnestra. Lynceus, in fabulous hiftory, one of the Argo¬ nauts, who went with Jafon in the expedition to ob¬ tain the golden fleece. He was of great ufe to the Argonauts, by enabling them to avoid the fand banks and rocks they found in their way. The poets fay, that Lynceus had fo piercing a fight, that it could not only penetrate to the bottom of the fea, but even to hell. Some mythologifts fuppofe, that this fable is taken from Lynceus’s fkill in obferving the ftars, and difeo- vering the mines of gold and filver concealed in the earth. LYNCURIUM, a ftone thought to be the fame with L Y N [2 sncur‘mm, w'ltK tlie tourmalin. The name is derived from Xvyl, lyncurius ,onet- W'here the greatefl part of the imported wines is land- v ~ ed and put into large vaults, is a handlbme fquare. People pafs hence into the fen country, and over the famous wa{lies into Lincolnfliire in boats, which are often loft, by venturing out at an improper feafon and without guides. The population in 1801 exceeded 10,000. LYNX. See Fklis, Mammalia Index. LYON Ring of Arms. See King ; and Law N° clviii. 16. -I his office is of great antiquity and refpeft in Scot¬ land ; and although the prccife time of its inlfitution is unknown, yet it muft have been as early as the in¬ troduction of armorial figures as hereditary marks of gentility and diftinCtion into this country, which was in the 12th century. His regalia are, a crown of gold, with a crimfon velve^ cap, a gold tsflel, and an ermine lining: a velvet robe reaching to his feet, with the arms of the kingdom embroidered thereon before and be¬ hind in the proper tinCtures; a triple row of gold chain round his neck, w ith an oval gold medal pendant there¬ to, on one fide of which is the royal bearing, and on the other St Andrew with bis crofs enamelled in pro¬ per colours, and a baton of gold enamelled green, pow¬ dered with the badges of the kingdom. The lord lyon’s rank is fuperior to that of any other king of arms, as he holds his office immediately from the iove- reign by comrniffion under the great feal; whereas the kings of arms in England are deputies to the earl marfhal, and aft under his authority. Formerly Scot¬ land was divided into two provinces, the one on the north and the other on the fouth fide of Forth ; and thefe provinces were under the management of two de¬ puties appointed by the lord lyon, to fuperintend the execution of all the bufinefs of his office. Before the Revolution, the lord lyoif, at his admifffion into office, was moft folemnly crowned by the fovereign or his commiflioner, in prefence of the nobility, the officers of Hate, and other great men, after a fuitable fermorv preached in the royal chapel ; and his crown was of the fame form with the imperial crown of the king¬ dom. On folernn occafions he wears the regalia above defcribed ; at all other times he wears the oval gold medal or badge on bis breaft, fufpended" by a broad green ribbon. He has the abfulute dilpofa! of all the offices in his own court, and of the heralds and pur- fuivants places. The meffengers at arms throughout Scotland are alfo created by him, and are amenable to his jurifdiftion. And the powers veiled in him by bis commiffion are the fame with thofe of the fovereign in all matters relative to the marks of gentility. LYONET, Pli l’ER, an ingenious naturalift, and member of feveral learned focieties, was born at Maef- tricht, and was defeended from a very ancient and re- fpeftable family of Lorrain. He had fcarcely attained his feventh year before he displayed an uncommon Hrength and agility in all bodily exercifes; but he was not lefs diligent in the improvement of his mind. Be¬ ing placed at the Latin fchool, he learned chronology, and exercifed himfelf in Latin, Greek, and French poetry, as alfo in Hebrew, logic, and the Cartefian phyfics. He was particularly fond of the Iludy of lan- guages, I> Y O [ 285 ] L Y O Lyonet. guages, whereof he underflood no lefs than nine, li- ving and dead. Having entered the univerfity of Ley¬ den, he ftudied the Newtonian philofophy, geometry, algebra, &c.; but his father (who was a clergyman), deiiring he fhould attach himfelf to divinity, he reluc¬ tantly abandoned the former ftudies, as his paffion for them was not eafily to be overcome* Pie at the fame time applied himfelf to anatomy, and alfo to mulic and drawing. He began‘afterwards to pradtife fculpture : and performed feVeral pieces in wood, fome of which are preferved, and have been greatly admired by the artills. After this* he betook himfelf to drawing portraits of his friends from life ; wherein, after three or four months practice* he became a great proficient. Having attained the degree of candidate in divinity, he refolved to ftudy law, to which he applied him¬ felf with fo much zeal, that he was promoted at the end of the firlt year. Arrived at the Hague, he un¬ dertook the ftudy of decyphering ; and became fecre- tary of the cyphers, ttantlator of the Latin and French languages, and patent-mafter to their High Mighti- nefies. Meanwhile* having taken a ftrcng liking to the ftudy of infefts* he undertook an hiftorical de¬ fer! ption -of fuch as are found about the Hague, and to that end collected materials for feveral volumes 5 and having invented a method of drawing adapted thereto, he. enriched this work with a great number of plates, univerfally admired by all the connoifteurs who had feen them. In the year 1724 was printed at the Hague a French tranfiation of a German work, the ‘ Theology of Infects,’ by Mr Lefler. Love of truth engaged Mr Lyonet to defer the publication of his above-mentioned defcription, and to make fome obfer- vations on that work, to which he has added two moft beautiful plates, engraved from his defigns. This per¬ formance caufed his merit to be univerfally known and admired. The celebrated M. de Reaumur had the above tranflation reprinted at Paris, not fo much on account of the work itfelf, as of Mr Lyonet’s obfer- vations j and beftowed on it, as did alfo many other authors, the higheft encomiums. He afterwards exe¬ cuted drawings of the freth water polypus for Mr Trembley’s beautiful work, 1744. The ingenious Wandelaar had engraved the firlt five plates j when Mr Lyonet, who had never witneffed this operation, con¬ cerned at the difficulties he experienced in getting the remaining eight finiihed in the fuperior ftyle he requir¬ ed, refolved to perform the talk himfelf. He ac¬ cordingly took a leffbn of one hour of Mr Wandelaar, engraved three or four fmall plates, and immediately began upon the work himfelf, which he performed in fuch a manner as drew on him the higheft degree of praife, both from Mr Trembley and from many other artifts, particularly the celebrated Van Gool ; who declared that the performance aftonilhed not only the amateurs, but alfo the moft experienced artifts. In 1748 he was chofen member of the Royal Society of London. In 1749 began (by mere chance) his amazing colleftion of horns and (hells, which, according to the univerfal teftimony of all tra-‘ vellers and amateurs who have vifited it, is at prefent the moft beautiful, and certainly one of the moft valu¬ able, in Europe. In 1753 became member of the newly-eftablilhed Dutch Society of Sciences at Haer- 5 lem j and in I757» a^ter ^ie celebrated M. le Cat, Lyorret profeffor in anatomy and furgery, and member of al- (1 moft all the principal focieties in Europe, had feen , Lyor‘‘:- Mr Lyonet’s incomparable Traite Anatonuque de la Che¬ nille qui range le Bois de Saule, with the drawings be¬ longing to it (which work v/as afterwards publilhed), he was elected member of the Royal Academy of Sci¬ ences of Rome, whereof M. le Cat was perpetual fe- cretary. After the publication of this treadle, he be¬ came, in 1760, member of the Royal Academy of Sciences of Rerlin *, in 1761, of the Imperial Acade¬ my of Naturalifts •, and, in i 762, of the Imperial Aca¬ demy of Sciences at St Peterfburg. In order to en¬ able fuch as might be defirous of following him in his intricate and moft aftonilhing difcoveries refpedfing the ftrutture of this animal, Mr Lyonet publilhed, in the Tranfaftions of the Dutch Society of Sciences at Haer- 1cm, a defcription and a plate (as he alfo afterwards did in French at the beginning of his Traite Anatomique') of the inftrument and tools he had invented for the pur- pofe of diffeftion, and likewife of the method he ufed to afeertain the degree of (Length of his magnifying glafies. Not with Handing all this labour, which was confiderably increafed by the extenfive correfpondence which he for many years carried on with feveral learn¬ ed and refpeflable perfonages, he ftill found means to fet apart a large proportion of his time (as he himfelf mentions it in his preface) for the immediate fervice of his country $ but was not fortunate enough (as ap¬ pears by his writings) to get any other recompenle for his exertions than forrow and difappointment. During the laft fifteen or twenty years of his life, Mr Lyonet added to the valuable treafure he had already eolledled of natural curiofities, a moft fuperb cabinet of paintings, confifting of more than 56c performances * among which are many of the moft eminent works of the firft Dutch mailers. He did this with a view to procure himfelf fome amufement during the latter part of his life, when old age and infirmities muft weaken his powers, and fet bounds to his activity. He had al¬ ways indeed accuftomed himfelf to employment, info- much that he has written fome pieces of Dutch poetry 5 and this difpofition remained with him till within a fortnight of his death, when he was attacked with an inflammation in his biesft, which, though apparently cured, was, in the end, the caufe of his diffolution. He died at the Hague in January 1789, aged 83 years, leaving behind him a moft elliinable character. LYONOIS, a large province of France j bound¬ ed on the north by Burgundy j on the eaft, by Dau- phiny, Breffe, and the principality of Dombs; on the fouth, by Vivarais and Velay j and on the weft by * Auvergne and a linall part of Bourbonnois. It com¬ prehends Lower Lyonois, Beaujolois, and Forez ; and it produces corn, wine, fruits, and more efpeci- ally excellent chefnuts. The principal rivers are the Saone, the Rhone, and the Loire. Lyons is the ca¬ pital town. LYONS, a large, rich, handfome, ancient, and fa¬ mous tow n of Fiance, being the moft: confiderable in the kingdom, next to Paris, with an archbilhop’s fee, an academy of fciences and belles lettres, and an aca¬ demy of arts and fciences fettled here in 1736. It is feated in the centre of Europe, on the confluence of the 1 L Y R [2 Lyms the rivers Rhone and Saone : on the fide of it are two T !re h'gh mountains ; and the mountain of St Sebaftian ---1- ■ ferves as a bulwark againft the north winds, which of¬ ten blow here with great violence. It contains nearly 100,000 inhabitants 5 and the houfes, in general, are high and well built. It has fix gates, and as many fuburbs. The town-houfe, the arfenal, the amphi¬ theatre built by the ancient Romans, the hofpital, and the numerous palaces, are worthy of a traveller’s at¬ tention. The cathedral is a fuperb ftrufture, and the canons that compofe the chapter are all perfons of di- ftinflion. It is a place of very great trade, which is extended through Europe. It derives vaft advantages from the rivers near it; and is fituated in E. Long. 4. 59. N. Lat. 45. 46. Lyons was the feene of fome of the horrid tranfaftions of the French revolution. See France. LYRA, a fpecies of filh. See Callyonimus, Ich¬ thyology Index. Lyra, in AJlronomy, a conftellation in the north¬ ern hemifphere. The number of its ftars, in Ptole¬ my’s catalogue, is ten ; in Tycho’s eleven 5 in Heve- lius’s feventeen ; and in the Britannic catalogue twen¬ ty one. LYRE, a mufical inflrument of the ftringed kind, much ufed by the ancients. Concerning the number of firings with which this in¬ flrument was furnifhed, there is great controverfy. Some affert it to be only three j and that the founds of the two remote were acute, and that of the intermediate one a mean between thofe two extremes; that Mercu¬ ry, the inventor, refembled thofe three chords to as many feafons of the year, which were all that the Greeks reckoned, namely, fummer, winter, and fpring : affign- ing the acute to the firft, the grave to the fecond, and the mean to the third. Others affert that the lyre had four firings •, that the interval between the firft and the fourth was an oflave ; that the fecond was a fourth from the firft, and the fourth the fame diftance from the third, and that from the fe¬ cond to the third was a tone. Another clafs of writers contend that the lyre of Mercury had feven firings. Nicomachus, a follower of Pythagoras, and the chief of them, gives the follow¬ ing account of Ihe matter : “ The lyre made of the Ihell was invented by Mercury j and the knowledge of it, as it was conftrudled by him of feven firings, was tranfmitted to Orpheus : Orpheus taught the ufe of it to Thamyris and Linus \ the latter of whom taught it to Hercules, who communicated it to Amphion the Theban, who built the feven gates of Thebes to the feveh firings of the lyre.” The fame author proceeds to relate, “ That Orpheus was afterwards killed by the Thracian women ; and that they are reported to have call his lyre into the fea, which was afterwards thrown up at Antiffa, a city of Lelbos : that certain fifhers finding it, they brought it to Terpander, who carried it into Egypt, exquifitely improved, and ftiowing it to the Egyptian priefts, affumed to himfelf the honour of its invention.” This difference among authors feem to have arifen from their confounding together the Egyptian and the Grecian Mercuries.—The invention of the primitive lyre with three firings was due to the firft Egyptian 2 86 ] L Y R Hermes, as mentioned under that article.—The lyre Lyre. attributed to the Grecian Mercury is deferibed by al- v— moft all the poets to be an inftrument of feven firings *. * See Yincenzio Galilei has collected the various opinions of«/ry. the leveral Greek writers who have mentioned the in¬ vention of the chelys or teftudo j and the late Mr Spence has done the fame in a very circumftantial but ludicrous manner. “ Horace talks of Mercury as a wonderful mufieian, and reprefents him with a lyre. "Ihere is a ridiculous old legend relating to this inven¬ tion, which informs us, that Mercury, after ftealmg fome bulls from Apollo, reined to a fecret grotto, which he ufed to frequent, at the foot of a mountain in Arcadia. Juft as he was going in, he found a tor- toife feeding at the entrance of his cave : he killed the poor creature, and perhaps ate the fitftr of it. As he was diverting himfelf with the (hell, he was mightily pleafed rvith the noife it gave from its concave figure. He had poffibly been cunning enough to find out, that a thong pulled ftrait and faftened at each end, when ftruck with the finger, made a fort of mufical found. However that was, he went immediately to work, and cut feveral thongs out of the hides he had lately ftolen, and faftened them as tight as he could to the ftiell of this tortoife 5 and, in playing with them, made a new kind of mufic with them to divert himfelf in his/ retreat.” This, confidered only as an account of the firft: invention of the lyre, is not altogether fo unna¬ tural. The moft: ancient reprefentations of this inftrument agree very well w ith the account of its invention : the lyre, in particular on the old celeftial globes, was re- prefented as made of one entire (hell of a tortoife ; and that of Amphion in the celebrated group of the JJirce or Toro, in the Farnefe palace at Rome, which is of Greek fculpture, and very high antiquity, is figured in the fame manner. There have, however, been many other claimants to the feven-ftringed lyre. For though Mercury invent¬ ed this inftrument in the manner already related, it is faid he afterwards gave it to Apollo, who was the firft that played upon it with method, and made it the con- ftant companion of poetry. According to Homer’s account of this tranfaftion, in his hymn to Mercury, it was given by that god to Apollo, as a peace-offering and indemnification for the oxen which he had ftolen from him : To Phoebus Maia’s fon prefents the lyre, A gift intended to appeafe his ire, The god receives it gladly, and effays The novel inftrument a thoufand ways ; With dext’rous Ikill the pleftrum wields ; and fings • With voice accordant to the trembling firings, Such {trains as gods and men approv’d, from whence The fweet alliance fprung of found and fenfe. Diodorus informs us, that Apollo foon repenting of the cruelty with which he had treated Marfyas in con- fequence of their mufical conteft, broke the firings of the lyre, and by that means put a flop for a time to any further progrefs in the praflice of that new inftrument. “ The Mules (adds he) afterwards added to this in¬ ftrument the firing called mefe ; Linus, that of lickanos ; and L Y R ^ [ 287 ] L Y R Lyre. and Orpheus and Thamyris, thofe ftrings which are ’—V——' named hypate and parhypate (a). Again, Many ancient and refpe&able authors tell us, that, before the time of Terpander, the Grecian lyre had only four ftrings •, and, if we may believe Suidas, it remained in this ftate 856 years, from the time of Amphion, till Terpander added to it three new ftrings, which extended the mufical fcale to a heptachord, or feventh, and fupplied the player with two conjoint te- trachords. It was about 150 years after this period, that Pythagoras is faid to have added an eighth firing to the lyre, in order to complete the odlave, which con¬ fided of two disjoint tetrachords. Boetius gives a different hiftory of the fcale, and tells us, that the fyftem did not long remain in fuch narrow limits as a tetrachord. Choraebus, the fon of Athis, or Atys, king of Lydia, added a fifth firing •, Hyagnis, a fixth ; Terpander, a feventh ; and at length Lychaon of Samos, an eighth. But all thefe accounts are irreconcileable with Homer’s hymn to Mercury, where the chelys, or teftudo, the invention of which he afcribes to that god, is faid to have had feven ftrings. There are many claimants among the muficians of an¬ cient Greece to the ftrings that w'ere afterwards added to thefe, by which the fcale, in the time of Ariftoxenus, was extended to two octaves. Athenaeus, more than once, fpeaks of the nine-ftringed inftrument 5 and Ion of Chios, a tragic and lyric poet and philofopher, who firft recited his pieces in the Sad Olympiad, 452 B. C. mentions, in feme verfes quoted by Euclid, the ten- ftringed lyre; a proof that the third conjoint tetrachord was added to the fcale in his time, which was about 50 years after Pythagoras is fuppofed to have conftrudled the odtachord. The different claimants among the Greeks to the fame mufical difcoveries, only prove that mufic was cul¬ tivated in different countries, and that the inhabitants of each country invented and improved their own in- ftruments, fome of which happening to referable thofe of other parts of Greece, rendered it difficult for hifto- rians to avoid attributing the fame invention to differ¬ ent perfons. Thus the fingle flute was given to Mi¬ nerva and to Marfyas ; the fyrinx or fiftula, to Pan and to Cybele ; and the lyre or cithara, to Mercury, Apollo, Amphion, Linus, and Orpheus. Indeed, the mere addition of a firing or two to an inftrumeyj with¬ out a neck, was fo obvious and eafy, that it is fcarce poflible not to conceive many people to have done it at byre, the fame time. ¥ With refpedl to the form of the ancient lyre, as little agreement is to be found among authors as about the number of ftrings. The beft evidences concerning it, are the reprefentations of that inftrument in the hands of Plate ancient flatues, bas-reliefs, &.c. See Plate CCXCVIII.CCXCVIIL where, Fig. 1. is a reprefentation of the teftudo, or lyre of Fig. 1. Amphion, in front, as it appears on the bafe of the ce¬ lebrated Toro Earnefe at Rome. This admirable work, conftfting of four figures bigger than the life, befides the toro or bull, was found in Caracalla’s baths, where the Farnefe Hercules was likewife difcovered : and, ex¬ cept the Laocoon, is the only piece of Greek fculpture mentioned by Pliny that is now' remaining. The two projections near the bottom, feem to have been faften- ings for the ftrings, and to have anfwered the purpofe of tail-pieces in modern inilruments. Fig. 2. The lyre held by Terpfichore, in the picture Fig. a. of that mufe dug out of Herculaneum. Fig. 3. The Abyftinian teftudo, or lyre in ufe at pre-Fig. 3. •fent in the province of Tigre, from a drawing of Mr Bruce, communicated to Dr Burney. “ This inftru¬ ment (fays he) has fometimes five, fometimes fix, but moft frequently feven ftrings, made of the thongs of raw flieep or goat fkins, cut extremely fine, and twdlted; they rot foon, are very fubjeCIto break in dry weather, and have fcarce any found in wet. From the idea, how¬ ever, of this inftrument being to accompany and fuf- tain a voice, one would think that it was better mounted formerly. “ The Abyflinians have a tradition, that the ftftrum, lyre, and tambourine, were brought from Egypt into Ethiopia, by Thot, in the very firlt ages of the world. The flute, kettle-drum, and trumpet, they fay, were brought from Paleftine, with Menelek, the fon of their queen of Saba by Solomon, who was their firft Jewifh king. “ The lyre in Amharic is called beg, ‘ the flieep in Ethiopic it is called mejinho ; the verb Jinho fignifies to ftrike firings with the fingers: no pleClrum is ever ufed in Abyftinia ; fo that mefinko, being literally in¬ terpreted, will fignify the ‘ ftringed inftrument played upon with the fingers.’ “ The fides which conftitute the frame of the lyre, were anciently compofed of the horns of an animal of the goat kind, called aga%en, about the fize of a fmall cow, and (a) It has been already related, that the lyre invented by the Egyptian Mercury had but three firings; and, oy putting tbefe two circumflances together, Dr Burney obferves, we may perhaps acquire fome knowledge of the progrefs of mufic, or, at lead, of the extenfion of its fcale, in the higheft antiquity. Mefe, in the Greek mufic, is the fourth found of the fecund tetrachord of the great fyftem, and firft tetrachord invented by the ancients, anfwering to our A, on the fifth line in the bafe. If this found then was added to the former three, it proves two important points; firft, that the moft ancient tetrachord was that from E in the bafe to A ; and that the three original ftrings in the Mercurian and Apollonian lyre were tuned E, F, G, w-hichthe Greeks called Hypate Mefon, Parhypate Mefon, Mcfon Diatonos. The addition therefore of Mefe to thefe, com¬ pleted the firft and moft ancient tetrachord, E, F, G, A. I he firing lichanos, then, being added to thefe, and anfwering to our D on the third line in the bafe, ex¬ tended the compafs downwards, and gave the ancient lyre a regular feries of five founds in the Dorian mode,., the moft ancient of all the Greek modes ; and the two firings called Hypate and Parhypate, correfponding with our B and C in the bafe, completed the heptachord, or feven founds, B, C, D, E, F, G, A, a com¬ pafs that received no addition till after the time of Pindar, who calls the imftrument then in ufe the feven- tongued tyre. ^ Y R [288 lyre. an(j common in the province of Tigre. I have feen fe- v veral of thefe indruments very elegantly made of fuch hoi ns, which nature feems to have thaped on purpofe. Some of the horns of an African fpecies of this animal may be feen in M. Buffon’s hiftory of the king of trance’s cabinet. They are bent, and lefs regular than the AbyiTinian ; but after fire-arms became common in the province of i igre, and the woods were cut down, this animal being more fcarce, the lyre has been made of a light red wood ; however, it is always cut into a Ipiral tw illed form, in imitation of the ancient mate- rials of which the lyre rvas compofed. The drawing I fend you was one of thefe inftruments made of wood. “ The kingdom of Tigre, which is the larged and mod populous province of Abyffinia, and was during many ages the feat of the court, was the fird which received letters, and civil religious government ; it extended once to the Red fea : various reafons and re¬ volutions have obliged the inhabitants to refign their fea coait to different barbarous nations, Pagan and Ma¬ hometan : while they were poffeffed of it, they fay that the Red fea furnidiecl them with tortoife-d*dls, of which they made the bellies of their lyres, as the Egyptians did formerly, according to Apollodorm; and Lucian ; but having now lod that refource, they have adopted in its place a particular fpecies of gourd, or pumpkin, very hard and thin in the bark, dill imitating with the knife the fquares, compartments, and figure of the fhell of the tortoife. u The lyre is generally from three feet to three fe:et fix inches high •, that is, from a line dravyn through the point of the horns, to the lower part of the bafe of the founding board. It is exceedingly light, and eafy of carriage, as an indrument fliould naturally be in fo rugged and mountainous a country. “ When we confider the parts which cotnpofe this lyre, we cannot deny it the earlied antiquity. Man in his fird date was a hunter and a fidier, and the oldeil indrument was that which partakes mod of that date. The lyre, compofed of two principal pieces, owes the one to horns of an animal, the other to the diell of a fifh. “ It is probable, that the lyre continued with the Ethiopians in this rude date as long as they confined themfelves to their rainy, deep, and rugged mountains ; and afterwards, when many of them defeended along the Nile into.Egypt, its portability would recommend it in the extreme heats and wearinefs of their way. Up¬ on their arrival in Egypt, they took up their habita¬ tion in caves, in the fides of mountains, which are in¬ habited to this day. Even in thefe circumdances, an indrument larger than the lyre mud have been in¬ convenient and liable to accidents in thofe caverns ; but when thefe people inereafed in numbers and courage, they ventured down into the plain, and built Thebes- Being now at their eafe, and in a fine climate, all na¬ ture fmiling around them, mufic and other arts were cultivated and refined, and the imperfect lyre was ex¬ tended into an indrument of double its compafs and volume. The fize of the harp could be now no long¬ er an objedtion 5 the Nile carried the inhabitants every¬ where eafily, and without effort •, and we may naturally fuppofe in the fine evenings of that country, that the Nile was the favourite feene upon which this indru- ] L Y R ment was pradtifed ; at lead the fphinx and lotus upon its head, leem to hint that it was lomeway connedted with the overdowings of that river.” See Harp. F'g. 4. An Etrufcan lyre, with feven drings, in the plcr collection of Etrufcan, Greek and Roman antiquities, 6’4* publifhed from the cabinet of the Hon. Sir William Hamilton, Vol. I. Naples 1766. Plate CIX. With re- fpedl to this indrument, it is w'orthy of obfervation, that though the vale upon which it is reprefented is of fuch indifputable and remote antiquity, the tail-piece, bridge, belly, and found-holes, have a very modern ap¬ pearance, and manifeft a knowledge in the condrudtion of mufical inllruments among the Etrufcans fuperior to that of the Greeks and Romans in much latter times. The lower part of the indrument has much the appear¬ ance of an old bafs-viol, and it is not difficult to dif- cover in it more than the embryo of the whole violin family. The drings lie' round, as if intended to be played on with a bow ; and even the crofi, lines on the tail-piece are fuch as we frequently fee on the tail¬ pieces of old viols. 5- The Tripodian lyre of Pythagoras the Zacyn- Fig. 5. thian, from a bafs-relief in the Maffei palace at Rome reprefenting the whole choir of the mules. Athenasus gives the following account of this extraordinary in- llrument, Lib. XIV. cap. xv. p. 637. Many ancient indruments are recorded (lays Artemon), of which we have fo little knowledge, that we can hardly be certain of their exidence $ fuch as the tripod of Py¬ thagoras the Zacynthian, which, on account of its difficulty, continued in ufe but a ffiort time. It refembled in form the Delphic tripod, whence it had its name. The legs were equidillant, and fixed upon a moveable bafe that was turned by the foot of the player ; the firings were placed between the legs of the ftool ; the vale at the top ferved for the purpofe of a found-board, and the firings of the three fides of the infirument were tuned to three different modes, the Doric, Lydian, and Phrygian. The per¬ former fat on a chair made on purpofe ; firik/ng the firings with the fingers of the left-hand, and ufing the pledlrum with the right, at the fame time turning the inftrument with his foot to whichever of the three modes he pleadd ; fo that by great practice he was enabled to change the modes with fuch velocity, that thofe who did not fee him would imagine they heard three different performers playing in three different modes. After the dcaih of this admirable mufician, no other inftrument of the fame kind was ever con- ftrufted.” Fig. 6. A lyfe in the famous ancient pi£ture dug out of Herculaneum, upon which Chiron is teaching young Achilles to play. See Chiron. LYRIC POETRY, was fuch as the ancients fung to the lyre or harp. — It was originally employed in ce¬ lebrating the praifes of gods and heroes, and its cha- racteriitic was Iweetnefs. Who was the author of it is not knovVn. It was much cultivated by the Greeks : and Horace was the firft who attempted it in the La¬ tin language. Anacreon, Akteus, Stefichorus, Sap¬ pho, and Horace, Were the molt celebrated lyric poets of antiquity. LYRODI, among the ancients, a kind of muficians who played on the lyre, and fung at the fame time. This L Y S t 289 1 L Y T Lvrodi il Lyfippus. This appellation was alfo given to fuch as naade it their employment to fing lyric poems compofed by others. LYS, or Lis. See Lis. Lys, the name of a meafure ufed by the Chinefe in eftimating diftances. Two hundred lys make 60 geo¬ graphical miles, which are equal to one degree. LYSANDER, a famous Spartan general. See Sparta. LYSANDRIA, a Samian feftival, celebrated with games and facrifices in honour ef the Lacedaemonian general Lyfander. It was anciently called herea : but this name the Samians abolifiied by a public de¬ cree. LYSIARCH, an ancient magiftrate, who fuperin- tended the facred games, and prefided in matters of religion in the province of Lycia. He was created in a council confiding of deputies from all the pro¬ vincial cities, in number 23. The lyfiarchs were both heads of the council and pontiffs of the pro¬ vince. LYSIAS, an ancient Grecian orator, was born at Syracufe in the 80th Olympiad. At 15, he went to Thurion, a colony of the Athenians ; and when grown up, affifted in the adminitfration of the go¬ vernment there many years. When about 47 years of age, he returned to Athens •, whence, being after¬ wards banifhed by the 30 tyrants, he went to Mega- ra. Upon his return, Thrafybulus would have had him employed again in {late matters; but this not tak¬ ing place, he fpent the remainder of his life as a pri¬ vate man. He was very familiar with Socrates, and other illuftrious philofophers. He profeffed to teach the art of fpeaking *, not that he pleaded at the bar himfelf, but he fupplied others with fpeeches. “ Fuit Lyfias in caufis forenfibus non verfatus (fays Cicero), fed egregie fubtilis fcriptor atque elegans, &c. Quin¬ tilian calls him, “ fubtilis atque elegans, et quo nihil, fi oratorio fatis fit docere, quseras perfeilius. Nihil enim eft inane, nihil arceffitum j puro tamen fonti, quam magno flumini, proprior.” Plutarch and Pho- tius relate, that 425 orations were formerly exhibited under the name of Lyfias $ of which 34 only are nowf extant. The beft edition of them is by Dr John Taylor at London, 1739, 4to j Cambridge, 1740, 8vo. LYSIMACHIA, Loosestrife, a genus of plants belonging to the pentandria clafs 5 and in the natural method ranking under the 20th order, Rotacece. See Botany Index. LYSIPPUS, a celebrated Greek ftatuary, was born at Sicyone, and firft followed the bufinefs of a lock- Imith, which he quitted in order to praflife painting : But he afterwards applied himfelf entirely to fculp- ture; in which he acquired an immortal reputation, and made a great number of ftatues that were the ad¬ miration of the people of Athens and Rome. Plis grand ftatue of the Sun reprefented in a car drawrn by four horfes, was worlhipped at Rhodes. He made fe- veral ftatues of Alexander and his favourites, which w’ere brought to Rome by Metellus after he had redu¬ ced the Macedonian empire ; and the ftatue of a man wiping and anointing himfelf after bathing, being par¬ ticularly excellent, was placed by Agrippa before his baths in that city. He lived in the time of Alexan- Vol. XII. Parti. der the Great, about 334 B. C.j and left three fons, Lyfippus who were all famous ftatuaries. T A LYTHRUM, Purple Loosetrife, a genus of _yt^Uon* plants belonging to the decandria clafs \ and in the natural method ranking under the 17th order, Caly- canthemce. See Botany Index. LYTTELTON, Edward, Lord Lyttelton, keep¬ er of the great feal in the reign of Charles I. was emi¬ nent for his probity and his moderation at the com¬ mencement of that monarch’s difputes with his fub- je6ts. Without forfeiting his fidelity to the king, he p^eferved the efteem of the parliament till 1644, when he was made colonel of a regiment in the king’s army at York. He died in 1645. Befides feveral of his fpeeches which have been printed, he wrote reports in the common pleas and exchequer, printed at Lon¬ don in 1683, in folio j feveral arguments and dif- courfes, &c. Lytteltoft, George Lord, eldeft fon of Sir Thomas Lyttelton, Bart, defcended from the great judge Lyttel¬ ton, was born in ijco, at feven months j and the mid¬ wife, fuppofing him to be dead, threw him carelefsly into the cradle 5 where, had not fome figns of life been taken notice of by one of the attendants, he might never have recovered. He received the elements of his education at Eaton fchool, where he fhowed an early inclination to poetry. His paftorals and fome other light pieces were originally written in that femi- nary of learning •, from whence he was removed to the univerfity of Oxford, where he purfued his claflical ftudies with uncommon avidity, and fketched the plan of his Perfian Letters j a work which afterwards pro¬ cured him great reputation, not only from the elegance ef the language in which they were compofed, but from the excellent obfervations they contained on the manners of mankind. In the year 1728, he fet out on the tour of Europe ; and, on his arrival at Paris, accidentally became ac¬ quainted with the honourable Mr Poyntz, then our minifter at the court of Verfailles j who was fo ftruck with the extraordinary capacity of our young traveller, that he invited him to his houfe, and employed him in many political negociations, which he executed with great judgment and fidelity. Mr Lyttelon’s condudl, while on his travels, was a leflbn of inftrudlion to the reft of his countrymen. Inftead of lounging away his hours at the coffee-houfes frequented by the Englifh, and adopting the fafhion- able follies and vices of France and Italy, his time was paffed alternately in his library and in the fociety of men of rank and literature. In this early part of his life, he wrote a poetical epiftle to Dr Ayfcough, and another to Mr Pope, which fhow Angular tafte and corredlnefs. After continuing a confiderable time at Paris with Mr Poyntz, who, to ufe his own words, behaved like a fecond father to him, he proceeded to Lyons and Geneva ; and from thence to Turin, where he w as honoured w'ith great marks of friendfhip by his Sardi¬ nian majefty. He then vifited Milan, Venice, Genoa, and Rome, where he applied himfelf clofely to the ftudy of the fine arts j and was, even in that celebrated metropolis, allowed a perfeft judge of painting, fculp- ture, and architedlure. During his continuance abroad, he conflantly cor. O 0 refponded Lyttelton L Y T ^ refponded with Sir Thomas, his father. Several of ' 1ns letters are yet remaining, and place his filial af- fedlion in a very diftinguilhed light. He foon after returned to his native country, and was elected re- prefentative for the borough of Okehampton in Devon- Ihiie} and behaved fo much to the fatisfaftion of his conllituents, that they feveral times re-ele6led him fer the fame place without putting him to the leaft expence. About this period, he received great marks of friend- fhip from Frederic prince of Wales, father of his pre- fent majefty j and was, in the year I737> appointed principal fecretary to his royal highnefs, and continued in the ftri£left intimacy with him till the time of his death. His attention to public bufinefs did not, how¬ ever, prevent him from exercifing his poetical talent. A moft amiable young lady, Mifs Fortelcue, inipired him with a paflion, which produced a number of little pieces, remarkable for their tendernefs and elegance j and he had a happy facility of ftriking out an extem¬ pore compliment, which obtained him no fmall lhare of reputation. One evening being in company with Lord Cobham and feveral of the nobility at Stowe, his lordlhip mentioned his defign of putting up a bull of Lady Suffolk in his beautiful gardens; and, turning to Mr Lyttelton, faid, “ George, you muff furnifti me with a motto for it.” “ I will, my lord,” anfwered Mr Lyttleton j and directly produced the following1 couplet: 5 r 290 i L Y T Her wit and beauty for a court were made, But truth and goodnefs fit her for a lhade. W hen Mr Pitt, afterwards earl of Chatham, loft his commiftion in the guards, in confequence of his fpirited condudl in parliament, Mr Lyttelton was in waiting at Leicefter-houfe, and, on hearing the circumftance, immediately wrote thefe lines : Long had thy virtue mark’d thee out for fame, Far, far fuperior to a cornet’s name ; This generous Walpole faw, and griev’d to find So mean a poft difgrace that noble mind j The fervile ftandard from thy free-born hand He took, and bade thee lead the patriot band. In the year 1742, he married Lucy, the daughter of Hugh Fortelcue, Efq. of Filleigh in the county of Devon, the lady above mentioned, whole exemplary conduft, and uniform practice of religion and virtue, eftabliftied his conjugal happinefs upon the moft folid’ bafis. .In 1744, he was appointed one of the lords com- miflioners of the treafury ; and, during his continuance in that ftation, conftantly exerted his influence in re¬ warding merit and ability. He was the friend and patron of the late Henry Fielding, James Thomfon author of the Seafons, Mr Mallet, Dr Young, Mr Hammond, Mr Weft, Mr Pope, and Voltaire. On the death of 1 homlon, who left his affairs in a very emoarraffed condition, Mr Lyttelton took that poet’s lifter under his protection. He revifed the tragedy of Coriolanus, which that writer had not put the laft hand to j and brought it out at the theatre-royal, Covent garden, with a prologue of his own writing, in which he fo affeCtingly lamented the lofs of that delightful bard, that not only Mr Quin, who fpoke 4 the lines, but almoft the whole audience, fpontaneoufiy Lyttelto bum into tears. J J ™ . In the beginning of the year 1746, his felicity was interrupted by the lofs of his wife, who died in the 29th year of her age j leaving him one fon, Thomas, the late Lord Lyttelton j and a daughter, Lucy, who afterwards married Lord Vifcount Vaientia. The remains of his amiable lady were depofited at Over. Arley in Worcefterfhire j and an elegant monument was ereCled to her memory in the church of Hagley, which contains the following infcription written by her hulband: Made to engage all hearts, and charm all eyes: Tho’ meek, magnanimous j tho’ witty, wife; Polite, as all her life in courts had been ; Yet good, as fhe the world had never feen : The noble fire of an exalted mind, With gentleft female tendernefs combin’d. Her fpeech was the melodious voice of love, Her fong the warbling of the Vernal grove. Her eloquence was fweeter than her fong, Soft as her heart, and as her reafon ftrong. Her form each beauty of her mind exprefs’d, Her mind was virtue by the Graces drefs’d. Belides thefe beautiful lines, Mr Lyttelton wrote a monody on the death of his lady, which will be re¬ membered while conjugal affedion and a tafte for poetry exift in this country. His mafterly obfervations on the converfion and apoftlefhip of St Paul, were written at the defire of Gilbert Weft, Efq. in confequence of Mr Lyttelton’s afferting, that, befide all the proofs of the Chriftian religion, which might be drawn from the prophecies of the Old Teftament, from the neceflary connection it has with the whole fyftem of the Jevvifh religion, from the miracles of Chrift, and from the evidence given of his refurreCtion by all the other apoftles, he thought the converfion of St Paul alone, duly confidered, w'as of itfelf a demonftration fufficient to prove Chriftianity to be a divine revelation. Mr Weft was ftruck with the thought: and affured his friend, that fo compendious a proof would be of great ufe to convince thofe unbelievers that will not attend to a longer feries of arguments; and time has fhown he was not out in his conje&ure, as the trad is efteemed one of the beft defences of Chriftianity which has hitherto been publilhed. In 1754, he refigned his office of lord of the trea¬ fury, and was made cofferer to his majefty’s houfe- hold, and fworn of the privy council: previous to which, he married a fecond time, Elizabeth daughter of Field-marfhal Sir Robert Rich ; whofe indifereet con- dud gave him great unealinels, and from whom he w as feparated, by mutual confent, a few years after his marriage. After being appointed chancellor, and under trea- furer of the court of exchequer, he was, by letters- patent dated the 19th of November 1757, 31 Geo. II. created a peer of Great Britain, by the ftyle and title Lord Lyttelton, baron oj Frank/ey, in the county of Worcejler. His fpeeches on the Scotch and mutiny bills in the year 1747, on the Jew bill in 1753, and on the privilege of parliament in 1763, fhowed found judgment, powerful eloquence, and inflexible inte¬ grity. L Y T [ 39i 1 L Y T grjtf. During the laft ten years he lived chiefly »n retirement, in the continual exercife of all the virtues which can ennoble private life, His laft work was Dialogues of the Dead, in which the mo¬ rality of Cambray and the fpirit of Fontenelle are hap¬ pily united. He was fuddenly feized with an inflammation of the bowels, in the middle of July 1773, at his feat at Hagley $ which terminated in his death, on the 2Sd of that month. His laft moments were attended with Lyttelton, unimpaired underftanding, unaffefted greatnefs of v ' J mind, calm relignation, and humble but confident hopes in the mercy of God. As he had lived uni. verfally efteemed, he died lamented by all parties, A complete collection of his works has been pub- lilhed fince his deceafe, by his nephew George Ayf- cough, Efq. M. TIT a liquid confonanfc, and the twelfth letter in -*-’-^3 the alphabet. It has one unvaried found, and is pronounced by ftriking the upper lip sgainft the lower ; in which the pronunciation of this letter agrees with that of b ; the only difference between the two confifting in a little motion made in the note in pronouncing ot, and not in b; whence it happens that thofe who have taken cold, for m ordinarily pronounce b ; the nofe in that cafe be¬ ing difabled from making the neceffary motion. All confonants are formed with the aid of vowels $ in em the vowel precedes, in be it follows} and m is never mute, Quintilian obferves, that the m fometimes ends Latin words but never Greek ones the Greeks always changing it in that cafe into «, for the fake of the bet¬ ter found. M is alfo a numeral letter, and among the ancients was ufod for a thoufand $ according to the verfe, M caput ejl numeric quern fcimus tnille teneru When a dalh is added to the top of it, as m J it fig- nlifos a thoufand times 3 thoufand, M, as an abbreviature, ftands for Manlius, Marcus, Martins, and Muems ; M. A, fignifies magijler artium^ nr matter of arts; MS. manufcript, and MSS. manu- foripts. M, in aftronomical tables, and other things of that kind, is ufod for meridional or fouthern j and fometimes for meridian or mid-day, M, in medicinal prefcription, is frequently ufed to fignify a maniple or handful \ and it is fometimes alfo put at the end of a recipe, for mi/ce, “ mingle j?t or for mxtura,li 3 mixture,” Thus m.f, juhpium^ fignjfies u mix and make a julep.” M, in Law, the brand or fttgma of a perfon convi^f- «d cf manflaughter, and admitted to the benefit of his clergy. It is to be burnt on the brawn of his left thumb, MAAT, John. See Elankof, MABILLON, John, a very learned writer of France in the J7th century, was born at Perremonte, on the frontiers of Champagne, in 1633. He waa educated in the univerfity of Rheims, and afterwards entered into the abbey of the Benedi&ines of St Remy. In the year 166$, he was appointed keeper of the treafures and monuments of France at St Dennis : but Mabillon having unfortunately broke a looking glafs there, II which was pretended to have belonged to Virgil, he defired leave of his fuperiors to quit an employment v w'hich frequently obliged him to tell things he did not believe. Next year he went to Paris ; and was very ferviceable to Father d’Acheri, who was defirous of having fome young monk who could aflift him in com¬ piling his Spicilegium. This made him known. Soon after, the congregation of St Maur having formed a defign of publilhing new editions of the fathers, re¬ viled from the MSS. in the libraries of the Benedic¬ tines, Mabillon was charged with the edition of St Bernard, which he prepared with extraordinary dili¬ gence. After that, he publilhed many other works, which are evidences of his vait capacity and induftry. In 1682, he was employed by Mr Colbert in examin¬ ing fome ancient titles relating to the royal family. The year following he fent him into Germany, to fearch the archives and libraries of the ancient abbeys, for what was moft curious and proper to illuftrate the hiftory of the church in general, and that of France in particular. He has publilhed an account of this journey. In 1685, he undertook another journey into Italy, by order of the king of France ; and re¬ turned the year following with a very noble colledttion. He placed in the king’s library above 3000 volumes of rare books, printed and in MSS, and compofed two volumes of the pieces which he had diiicovered in that country. He was highly efteemed for his virtues as well as his learning. MACACO, or Macauco. See Lemur, Mamma¬ lia Index. MAC ^O, a town of China, in the province of Canton, feated in an ifland at the mouth of the river Tae, The Portuguefe have been in poffefiion of the harbour for 130 years Formerly they had a great trade here ; but now they have only a fort with a fmall garrifon. The houfes are built after the European manner 5 and there is a Chinefe mandarin, ns well as a Portuguefe governor, to take care of the town and the neighbouring country, E, Long, 109, N. Lat, 22. 12 Macao. See Psittacus, Ornithology Index. MACARIANS, in ecciefiattical hiftory, the fol¬ lowers of Macarius, an Egyptian monk, who was di- O 0 2 ftinguilhed M . A C [ 292 ] Mac as Ians fllnffuifhed towards the clofe of the fourth century for heads. Maciflar. his fan^.ity and virtue. In his writings there are fome fuperftitious tenets, and alfo certain opinions that feem tainted with Origenifm. The name has been alfo ap¬ plied to thofe who adopted the fentiments of Macarius a native of Ireland, who about the clofe of the ninth century, propagated in France the error afterwards maintained by Averrhoes, that one individual intelli¬ gence or foul performed the fpiritual and rational functions in all the human race. MACARONI. See Folengio, and the next article. MACARONIC, or Macaronian, a kind of bur- lefque poetry, confiding of a jumble of words of differ¬ ent languages, with words of the vulgar tongue La¬ tinized, and Latin words modernized. Macaroni among the Italians, as has been obferved by Cselius Rhodiginus, fignifies a coarfe c/ownijh man ; and be- qaufe this kind of poetry is patched out of feveral languages, and full of extravagant words, &c. the Italians, among whom it had its rife, gave it the name of macaronian or macaronic poetry. Others choofe to derive it a macaronibusy from macaroons, a kind of confection made of meal not boulted, fweet almonds, fugar, and the white of eggs, accounted a great dainty among the country people in Italy •, which, from their being compofed of various ingredients, oc- cafioned this kind of poetry, which confifts of Latin, Italian, Spanilh, French, Englilh, &c. to be called by their name. Example.—A bold fellow in the macaronic ftyle, fays, Enji/avi omnes fcadrones et regimandos, &c. Another example : Archelos pijlo lifer os furiamque manantum, Et grandem efmeutam quce inopinum faBa ruelle ejl: Toxinumque alto troublantem corda clochero, &c. Theoph. Folengius, a BenediCtine monk of Mantua, was the firft who invented, or at leaft cultivated, this kind of verfe. See FoLENGIO. The belt pieces of this kind are, the Baldus of Fo¬ lengio, and Macaronis Forza, by Stefonio a Jefuit, among the Italians ; and the Reatus veritabilis, fuper ternbili efmeuta paifanarum de Ruellis; among the French. The famous Rabelais firft transferred the macaronic ftyle out of the Italian verfe into French profe : and on the model thereof formed fome of the beft things in his Pantagruel. We have little in Englifh in the macaronian way $ nothing fcarce, but fome little loofe pieces colleCled in Camden’s remains. But the Germans and Netherlanders have had their macaronic poets j witnefs the Certamen Catholicism cum Cahinijlis, of one Martinius Hamconius Frifius, which A contains about j 200 verfes, all the words whereof be- gin with the letter C. MACARSKA, a town of Dalmatia, and capital of Primogria, with a pretty good harbour, and a bi- Ihop’s fee, feated on the gulf of Venice. E. Long. 17. 57. N Lat. 43. 42. MACASSAR, a confiderable kingdom of the illand of Celebes, in the Eaft Indies. The climate is very hot j and would be intolerable, were it not for the rains which fall when the fun is direftly over their 3 MAC . , .T’ie f0'1.'* extremely fertile, and there are MacfJ ripe fruits at all times of the year. There are great H numbers of monkeys, who are devoured by monftrous |^accabee ferpents j fome of which are lo large, that they will ^ ' fwallow one of thefe animals entire. The Macaffars are large, robuft, courageous, and greatly addicted to war» They profefs the Mahometan religion. Macassar, a large, ftrong, and handfome town, of the ifland of Celebes, and capital of the kingdom of the fame name, where the king refides. The houfes are all built of wood, and fupported by thick polls j and they have ladders to go up into them, which they draw up as foon as they have entered. The roofs are covered with very large leaves, which prevent the rain from entering. It is feated near the mouth of a large river, which runs through the king¬ dom from north to fouth. E. Long. 117. 53. S. La&t. 5. o. Macassar Poifon, in Natural Hi/lory, called ippo in the Macaffar and Malayan tongue, is the gum of a cer¬ tain tree, Ihining, brittle, black, and every way like ftone-pitch, growing in the ifland of Celebes, in the South feas j with which all the natives arm themfelves in travel, having a long hollow trunk of a hard red wood like brafil, accurately bored, and at one end is fixed a large lance-blade of iron. Then they make a fmall arrow, very ftraight, and fomewhat bigger than a large wheaten ftraw : at one end they fix it into a round piece of white, light, foft wood, like cork, about the length of the little finger, juft fit for the bore of the trunk, to pafs clear by the force of one’s breath, and to fill it fo exaCtly, that the air may not pafs by, but againft it, in order to carry it with the greater force. At the other end they fix in it either a fmall fifh-tooth for that purpofe, or make a blade of wood of the bignefs of the point of a lancet, about three-quarters of an inch long, and making a little notch in the end of the arrow, they flick it firm therein, which they anoint with poifon. The poi- fonous gum, when gathered, is put into hollow bam¬ boos or canes, flopped up very clofe, and thus brought to Macaffar. ‘When they fit it for ufe, they take a piece of fmooth turtle-fhell, and a flick cut flat and fmooth at the end : then they take green galangal root, grate it, and with the addition of a little fair w ater, prefs the juice into a clean china dilh : then with a knife fcraping a little of the poifon upon the (hell, dip the end of the flick in the forementioned liquor, and with this diffolve the poifon to the confiftence of a fyrup : when this is done, they anoint the fifh-tooth or wooden blade with the fame flick, and lay it in the fun, fo that it may be baked hard. The pointed arrows thus pre¬ pared, are put in hollow bamboos, clofe ftiut, and in this ftate they retain their virtue for a month. MACCABiEUS, Judas. See Judas. MACCABEES, two apocryphal books of fcripture, containing the hiftory of Judas and his brothers, and their wars againft the Syrian kings in defence of their religion and liberties, fo called from Judas Mattathias, furnamed Maccabeeus, as fome fay from the word '330, formed of the initials of mm tsbto rr3D3 'D, q. d. Who is like unto thee, 0 Lord, among the gods; wEich was the motto of his ftandard j whence thofe who fought under his ftandard were called Maccabees, and the name was generally applied to all who fuffered in the caufe of MAC licabtei, of the true religion, under the Egyptian or Syrian lacbeth. king?. The firft book of the Maccabees is an excel- ^ lent hiftory, and comes neareft to the ftyle and manner of the facred hiftorians of any extant. It was written originally in the Chaldee language, of the Jerufalem dialeft, and was extant in this language in the time of Jerome. From the Chaldee it was tranflated into Greek, from the Greek into Latin. It is fuppofed to have been written by John Hyrcanus the fon of Si¬ mon, who was prince and high prieft of the Jews near 30 years, and began his government at the time where this hiftory ends. It contains the hiftory of 40 years, from the reign of Antiochus Epiphanes to the death of Simon the high prieft : that is, from the year of the world 3829 to the year 3869 j 131 years before Chrift. The fecond book of the Maccabees begins with two epiftles fent from the Jews of Jerufalem to the Jews of Egypt and Alexandria j to exhort them to obferve the feaft of the dedication of the new altar ere&ed by Judas on his purifying the temple. The firft was written in the 169th year of the era of the Se- leucidae, i. e. before Chrift 1445 and the fecond in the 188th year of the fame era, or 125 before Chrift j and both appear to be fpurious. After thefe epiftles follows the preface of the author to his hiftory, which is an abridgement of a larger work, compofed by one Jafon, a Jew of Cyrene, who wrote in Greek the hi¬ ftory of Judas Maccabeus and his brethren, and the wars againft Antiochus Epiphanes, and Eupator his fon. The fecond book does not by any means equal the accuracy and excellency of the firft. It contains a hiftory of about 15 years, from the execution of Heliodorus’s commiflion, who was fent by Seleucus to fetch away the treafures of the temple, to the vic¬ tory obtained by Judas Maccabeus over Nicanor j that is, from the year of the world 3828, to the year 3843, 147 years before Chrift. There are in the Polyglot Bibles, both of Paris and London, Syriac verfions of both thefe books j but they, as well as the Engliftr verfions which we have among the apocryphal writers in our Bible, are de¬ rived from the Greek. There is alfo a third book of the Maccabees, containing the hiftory of the perfecu- tion of Ptolemy Philopator againft the Jews in Egypt, and their fufferings under it j which feems to have been written by feme Alexandrian Jew in the Greek lan¬ guage, not long after the time of Siracides. It is in moft of the ancient manufeript copies of the Greek Septuagint j particularly in the Alexandrian and Va¬ tican, but was never inferted into the vulgar Latin verfion of the Bible, nor confequently into any of our Engliftr copies. Moreover, Jofephus’s hiftory of the martyrs that fuffered under Antiochus Epiphanes, is found in fome manufeript Greek Bibles, under the name of the fourth book of the Maccabeees. MACBETH, a Scots nobleman in the nth cen¬ tury, nearly allied to Duncan king of Scotland.— Not contented with curbing the king’s authority, he carried his peftilent ambition fo far as to put him to death 5 and, chafing Malcolm Canmore his fon and heir into England, ufurped the crown. Si ward earl of Northumberland, w’hofe daughter Duncan had mar¬ ried, undertook, by the order of Edward the Confeffor, the protection of the fugitive prince.—He marched with an army into Scotland j defeated and killed Macbeth j MAC and reftored Malcolm to the throne of his anceftors. Macbeth, Shakefpeare has made this tranfa&ion the fubjedt of one Macbnrie-^ of his beft tragedies. ' MACBRIDE, Dr David, an eminent phyfician and philofopher, was defeended from an ancient family in the county of Galloway in Scotland. His grand¬ father, a clergyman, had fettled in Ireland about the end of the 17th century, as minifter to a Prefbyterian congregation at Belfaft ; and his father, who followed the fame line, was fettled at Ballymony in the county of Antrim, where he married, and where our author was born in April 1726. After a proper fchool-educa- tion, and having palled fome time under the tuition of an eminent furgeon in his native place, he was fent to the univerfity of Glafgow. Having there completed the ufual courfe of academical ftudies, he went to Edinburgh for the further profecution of medical fei- ence. After a Ihort flay here, a war then prevailing between France and Britain, he was induced to go on board the navy in the ftation of a furgeon’s mate. In the fervice of his country he continued for feveral years j and after difeharging for fome time the duties of an afliftant, he was raifed to the rank of furgeon. In this fituation, he firft turned his thoughts towards the difeovery of a remedy for the fea-feurvy. It was not, however, at this period, that either chance or rea* foning fuggefted to him the employment of an article which has lince been attended with the moft beneficial confequences. Here he had an opportunity only of ob- ferving the fymptoms, of ftudying the nature, and of la¬ menting the confequences, of the difeafe. The termination of the war by the peace of Aix-la- Chapelle put a period to Dr Macbride’s employment as a naval furgeon. He had now probably obtained much medical knowledge in the fchool of experience j but he was fenfible that he had ftill much to acquire in that of fcience. An ardent keennefs to mingle in aftive life had led him from the fchools of medicine at an earlier period than could have been wilhed 5 and an earneft defire to found his future pradlice in the beft eftablilhed principles led him back to them, when a judgment, matured by years, and informed from the obfervation of fa£b, rendered him capable of hearing teachers with greater advantage. He returned there¬ fore to Edinburgh, and again entered on the career of academical purfuits, under the tuition of Dr Monro, and thofe other teachers, whofe abilities raifed the fame of that medical fchool. But not fatisfied with the inftrudlions to be had from any one fet of profeffors, the celebrity of the medical teachers in London led him alfo to vifit that capital. There he particularly became the pupil of thofe diftinguiftied lecturers, Dr Hunter and Dr Smellie. And while from the former he laboured to acquire an accurate chirurgical know¬ ledge, from the latter he endeavoured to obtain the true principles of midwifery confidered as a fcience- At the fame time he was no lefs induftrious in improv¬ ing himfelf in the fuccefsful practice ef both arts by attention at hofpitals. Thus prepared for the exercife of his profeflion, about the end of the year 1 749 he fixed his refidence in Dublin in the character of furgeon and accoucheur. If amiable manners, and extenfive knowledge of his profeflion, could alone have been fufficient introduc¬ tions to praftice, he might in a ftiort time have look [ 293 ] MAO .Atac|ir!de; a competent (hare of bufinefs in that capital j but while he had to combat that obje&ion which very generally ariles from youth, his progress was alfo not a little retarded by an uncommon degree of modefty. Hence for feverai years he remained almoft in a ftate of obfcurity, and was employed by but few people ei¬ ther of rank or fortune. But, if it is to be regretted that for many years his time was not fo fully employed in the lucrative part of his profeffion as was due to his merit, it ought dill to be remembered, that this ef- fentially promoted the caufe of fcience : for by this means his genius and induftry were dire&ed to medical researches j and were productive of difcoveries which will with honour tranfmit his name to lateft pollerity, Thefe, though fome of them might have been fuccefs* fully turned to his own emolument, were freely com¬ municated to the world in different publications ; and he did not (how greater ingenuity in making difco, veries than liberality of fentiment in publifliing them for the advantage of others. His firft publication entitled, “ Experimental Effays on Medical and Phk lofophical Subjects,” made its appearance in the year 1764.—-Thefe effays are five in number: 1. On the fermentation of alimentary mixture and the digeftion cf the food. 2. On the nature and properties of fixed air. 3. On the different kinds of antileptics.. 4. Of the diffolvent power of quicklime. 5. Of the fea fcur. vy. The merit of all thefe is fufficiently known and acknowledged : but the laft of them is unqueftionably the moft important ; the method therein propofed of both the prevention and cure of that dreadful difeafe the fcurvy, having been confirmed by repeated and un., deniable obfervation. . Having thus equally diftinguilhed himfelf as an inge- mous phdofopher and able practitioner, the world were not now flow in beftowing upon him the tribute of ap- plau e to which he was entitled. His name was enrol¬ led with honour in the lifts of many learned focieties- and the univerfity where hisftudieshad firft been com! menced were proud to confer upon him the degree of doctor of medicine. X he reputation, however, of being a diftinguiftied puthor, was to him but a fecondary objeCt ; and his talents were not confined to the advancement of medk cine alone. Having fuqcefsfully difcovered a confider- Sble improvement in the art of tanning, with that fpinted generofity which is ever the concomitant of real worth, he fpeedily and freely communicated it to the public, by publjfhing, firft, “ An Account of a Wew Method of Tanning;” and afterwards, « Jnftruc- tions for carrying on the New Method of Tanning.” Asa mark of approbation for this liberal condua, as well as a teftimony of refpeft for his ingenuity, prize- medals were conferred upon him by the Societies of Arts both in London and Dublin. But his laft and moft extenliye publication was more immediately in the line of his own profeftion ; It is entitled, “ A Me. Introdua»on ^ ^e Theory and Fraaice of Medicine,” In that valuable work he has given a cencife and conneaed view of the principles and prac¬ tice of the healing art, as belt eftabliftied by found reaion, and confirmed by accurate obfervation. Moft If not all, of thefe publications, not only went through various editions, but vme tranflated into different lan- C 294 1 MAC After the merit of Dr Macbride came to be proper, ly known, the public feemed to Ihow a dtfire of mak- mg compenfation for having fo long overlooked it, His employment increafed fo rapidly, that he had more buhneis than he could tranfaft either with eafe or fafe- ty* 1 Jlls having kept him in perpetual agitation both ot body and mind, at laft induced an almoft total in¬ capacity of fleeping. From this circumftance his health could not fail to be impaired. In this fituation, after accidental expofure to cold, he was attacked with a fever, which put an end to his life on the 13th of De¬ cember 177b, in the 53d year of his age, Thofe who were among his moft intimate acquaintance were inclined to believe that his death was not a little haftened by domeftic calamities. During his refidence in Dublin he w'as twice married, and was as often fub« je<5fed to that inexpreftible diftrefs which muft refult from a final feparation in this world from the moft inti¬ mate and loving friends. By both of his wives he had feverai children ; but none of them furvived their father. And on thefe calamitous events, although he was able to conceal his feelings from the world, yet they gave a fevere (hock to his conftitution. After hh death, feverai of the playful trinkets of his infants with the^ fignature of dulces exuviae, were found in his repofitories among papers on medical and other import¬ ant fubjefts : an incontrovertible proof, that in him at leaft, the great mind of the philofopher w7as conjoin, ed with the feeling heart of the affe&ionate father. But if his^ abilities were remarkable as a philofopher and phyfician, if his condu£l was exemplary as a huf. band and parent, his manners were no lefs amiable as a companion and friend. His polite and benevolent conduft, joined to his tafte for the fine arts, conciliated the affe&ions and efteem of all who knew him. His death was univerfally and fincerely lamented in the city of Dublin, / MACCLESFIELD, a town of Cheftiire in Eng¬ land, 171 miles from London, is feated on the edge of a foreft of the fame name, upon a high bank near the river Bollin ; and is a large handfome town, with fine church and a very high fteeple. It was ere&ed into a borough by King Edward III. is governed by a mayor, and enjoys great privileges and jurifdjtfiona by virtue of the court and the liberties of the foreft. In its. church are two brafs plates, on one of which there is a promife of 26,000 years and days pardon for faying five Pater-Nofters and five Aveg. Its chief manufacture is mohair buttons. In Macclesfield fo. reft are many pits dug for the fake of the turf; in wh,ch it is common to find fir-trees buried, which are dug up for various ufes, but chiefly for fblinters thafe ferve the poor for candles. The population in 1801 was nearly 9000, W. Long, 2, 10. N. Lat, 53. 13. MACE, an ancient weapon, formerly much uftd by the cavalry of all nations. It was commonly mads of iron ; its figure much refembles a chocolate mill t tnany fpecimens may be feen In the Tower, It wag with one of thefe that Walworth mayor of London knocked the rebel Wat Tyler from off his horfe in Smithfield for approaching the young King Richard II, in an infolent manner; and as he fell he difpatched him with his dagger. The mace in modern times cnanged its form ; and being no longer a war inftru. ment, is made of copper or fllver gilt, ornamented with Machf II Mac* 1 Macedon ituation, cc. of the auntry. 3 ifferent aies. MAC [ 295 a crown, globe, and crofs, and is now the chief inlignia of authorily throughout Great Britain. Similar to the ancient maces, were thofe ftaves at the end of which iron or leaden balls armed with fpikes were fuf- pended by chains : they were formerly carried by the pioneers of the trained bands or militia of London. Mace, in the Materia Medica, the fecond coat or covering of the kernel of the nutmeg, is a thin, mem¬ branaceous lubftance, of a yellowilh colour ; being met with in flakes of an inch or more in length, which are divided into a multitude of ramifications. It is of an extremely fragrant, aromatic, and agreeable flavour; and of a pleafant, but acrid oleaginous tafte. See Ma¬ teria Medica Index. MxlCEDON, or Macedonia, a moft celebrated kingdom of antiquity, w'as bounded on the eaft by the v^Egean fea; on the fouth by Theflaly and Epirus; on the weft by the Ionian fea or Adriatic ; on the north, at firft by the river Strymon and the Scardian mountains, but afterwards by the river Neffus or Nef- tus. In a direct line the whole country extended only 150 miles in length ; but the windings of the coaft lengthened it out to three times that extent; in which almoft every convenient fituation was occupied by a Grecian fea-port. The country was naturally 1 MAC He was an Argive, a defcendant of Macedon. 3 ngdom mded by ranus. divided, by the Thermaic and Strymonic gulfs, into the provinces of Pieria, Chalcis, and Pangaeus. The middle region, which took its name from a city of Euboea from whence it was originally peopled, was very fertile and pleafant; the inland country, being diverfified by lakes, rivers, and arms of the fea, was extremely convenient for inland navigation, while the towns of Amphipolis, Potidaea, Acanthus, and many others, afforded marts for the commerce of the republics of Greece, as well as of Thrace and Macedon. On one fide of this diftrihl were the mountains of Pangaeus, and on the other the plains of Pieria. The Pangaean mountains, which extended 90 miles towards the eaft and the river Neffus, though proper neither for corn nor pafture, produced plenty of timber for ftiip-build- ing; while the fouthern branches of the mountains contained rich veins of gold and filver; but thefe, though wrought fucceflively by the Thafians and the Athenians, were only brought to perfe&ion by Philip of Macedon, who extracted from them gold and filver to the value of 200,0001. fterling annually. Pieria ex¬ tended 50 miles along the Thermaic gulf, to the confines of Theffaly and Mount Pindus. The inland part of the country was beautifully diverfified with lhady hills and fountains; and fo admirably calculated for folitary walks and retirement, that the ancients looked upon it to be the favourite haunt of the Mufes, and accordingly bellowed upon them the title of Pie- rides. In the moft early times this country was called JEma- tha, from JEmathius one of its princes. The name of Macedon is faid to have been derived from Macedo a defcendant of Deucalion; though others fuppofe it to have been only a corruption of Mygdonia a diftribl of the country. In thofe remote ages of antiquity, Macedon, like moft other countries of Europe, was divided into a great number of petty principalities, of which fcarce even the names are known at this time. All authors agree, however, that Caranus was the firft; who eftabliftied any permanent fovereignty in Macedon. Hercules, and about 800 years B. C. conducted a Imall colony of his countrymen into the inland diftrift of Macedon, at that time diftinguilhed by the name of JLmathia as already mentioned. This territory was about 300 miles in circumference. On the fouth it was feparated from the fea by a number of Greek re¬ publics, of which the moft confiderable were thofe of Olynthus and Amphipolis; and on the north,eaft, and weft, was furrounded by the barbarous kingdoms of Ihrace, Poecnia, and Illyricum. According to the traditions of thole times, Caranus, having confulted the oracle on the fuccefs of his intended expedition, was commanded to be directed by the goats in the efta- blilhment of his empire. For fome time he proceeded at random, without knowing what to make of the ora¬ cle’s anfwer; but happening to enter the fmall kingdom of at that time governed by King Midas, he oblerved a herd of goats running tow-ards EdeJ/'a the capital. Recollefting then the anfwer of the oracle, he attacked and took the city by furprife, foon after making himfelf mafter of the whole kingdom. In me¬ mory of this remarkable event he called the city JEgea, and the people JEgiates, from the goats who condudted him, and made ufe of the figure of a goat in his ftand- ard. From this fable alfo we fee why the figure of a goat is fo frequently feen on the coins of Philip and his fucceffors. ^ The little colony of Argives led into TEmathia by Policy of Caranus would foon have been overwhelmed by the Pr*nce* barbarous nations who furrounded it, had not this prince and his fubjedls taken care to ingratiate themfelves wdth their neighbours, rather than to attempt tofubdue them by force of arms. They inftrudted them in the Grecian religion and government, and in the knowledge of many ufeful arts; adopting themfelves, in fome degree, the language and manners of the barbarians ; imparting to them in return fome part of the Grecian civiliza¬ tion and polite behaviour. Thus they gradually affo- ciated with the fierce and warlike tribes in their neigh¬ bourhood ; and this prudent condudt, being followed by fucceeding generations, may be looked upon as one of the caules of the Macedonian greatnefs. Caranus, dying after a reign of three years, left the kingdom to his fon Coenus ; who having confiderably enlarged his dominions, was fucceeded by Thurymas, 5 and he by Perdiccas I. This laft prince is by Thucy- Perdiccas I. dides and Herodotus accounted the founder of the ace^e'3rate£^ Macedonian monarchy ; though his hiftory is f0monarch* obfcured by fable, that nothing certain can now be known concerning it. In procefs of time, however, the good underftanding which had fubfifted between the Macedonians and their barbarous neighbours began to * fuff r an interruption; and in 691 B. C. the kingdomInvaflonby was for the firft time invaded by the Illyrians. Atrians'lly" firft they did confiderable damage by their ravages; but the Macedonian monarch, Argasus, having decoyed them into an ambuftr, cut off great numbers, and obliged the remainder to leave the kingdom. In the reign of his fucceffors, however, they returned, and occafionally proved very troublefome enemies till the reigns of Philip and Alexander. j In the mean time the kingdom of Macedon began toInterfcr" be affeaed by thofe great events which took place f,nc^ofthe in other parts of the world. Cyrus having overthrown dned Mace. the damans. MAC ^MaceJon. the Babylonian empire, and conquered all the weftern part of Alia, eftablilhed a mighty monarchy, which threatened all the eaftern parts of Europe with fub- iugation. The Greeks, however, having now emerged from their barbarifm, and acquired great knowledge in the art of war, were able to refill effectually this very formidable power •, but the kingdom of Macedon, obfcure and unconnected, w'as obliged to yield, and though not formally made a province of the Perfian empire, was neverthelefs accounted in fome fort as un¬ der the valfalage and protection of the Perfians. Al- cetas, who afcended the Macedonian throne about the time that the Perfian monarchy was founded, had the dexterity to preferve his dominions from the encroach¬ ments of the Greeks on the one hand, and of the Per¬ fians on the other ; but in the reign of his fuccelfor Amyntas, a formal demand was made of fubmilfion to the great king Darius, by fending him a prefent of earth and water. Seven ambafladors were fent on this errand by Megabizus, one of the officers of Darius. They were fumptuoufly entertained by Amyntas 5 but having attempted to take fome indecent liberties with the Macedonian women, Alexander the king’s fon caufed them all to be murdered. This ralh aCtion had almolt proved the ruin of the kingdom $ bat Alexander found means to pacify Bubaris the general fent againlt him by Megabizus, by Ihowing him his filter Gygsea, a very beautiful woman, with whom the Perfian fell in love at firlt fight, and afterwards mar- 8 ried her. Advan- From this time the Macedonians were accounted the faithful allies of the Perfians j and, through the oedon from iuterelt of his fon-in-law, Amyntas obtained the coun- this inter- try in the neighbourhood of Mount Haemus and Olym- ference. pus, at the fame time that the city of Alabanda in Phry¬ gia was given to Amyntas the nephew of Alexander. The Macedonians diilinguilhed themfelves in the time of the Perfian invafion of Greece, by furnilhing their allies with 200,000 recruits $ though fome cities, par¬ ticularly Potidaea, Olynthus, and Pallene, adhered to the Grecian interelt. The two lalt were taken and rafed, and the inhabitants malfacred by the Perfians j but Potidaea efcaped by reafon of the fea breaking into the Perfian camp, where it did great damage. Alexander, however, afterwards thought proper to court the favour of the Greeks by giving them intel¬ ligence of the time when Mardonius defigned to attack them. The remaining tranfaCtions of this reign are entirely unknown, farther than that he enlarged his dominions to the river Neffus on the call and the Axius on the welt. Alexander I. was fucceeded by his fon Perdiccas II. FerdiccasII who, according to Dr Gillies, “ inherited his father’s abilities, though not his integrity.” But from his du¬ plicity above mentioned both to Greeks and Perfians, it does not appear that he had much to boalt of as to the latter quality. In the Peloponnefian war he efpoufed the caufe of the Spartans againft the Athe¬ nians, from whom he was in danger by reafon of their numerous fettlements on the Macedonian coalt, and their great power by fea. For fome time, however, he amufed the Athenians with a Ihow of friendlhip ; but at lalt, under pretence of enabling Olynthus and fome other cities to recover their liberties, he aflilted in deltroying the influence of the Athenians in thofe [ 296 ] MAC . 9 Reign of places, in hopes of eftablilhing that of the Macedo- Macsdo#. nians in its Head. But this defign failed of fuccefs; the '■“"“v-— Olynthian confederacy was broken, and the members of it became fubjedt to Sparta, until at lalt, by the mif- fortunes of that republic, they became fufficiently power¬ ful not only to refill the encroachments of the Mace¬ donians, but to make confiderable conquelts in their country. I0 Perdiccas II. was fucceeded about 416 B. C. by °f Arche. Archelaus I. He enlarged his dominions by the con- 'aus quell of Pydna, and other places in Pieria, though his ambition feems rather to have been to improve his do¬ minions than greatly to extend them. He facilitated the communication between the principal towns of Ma¬ cedon, by cutting ftraight roads through molt part of the country : he built walls and fortreffes in fuch places as afforded a favourable fituation ; encouraged agricul¬ ture and the arts, particularly thofe fubfervient to war j formed magazines of arms j raifed and difcipiined a confiderable body of cavalry ; and in a word, fays Dr Gillies, “ added more to the folid grandeur of Macedon than had been done by all his predeceffors put together. Nor was he regardlefs of the arts of peace. His palace was adorned by the works of Grecian painters. Euri¬ pides was long entertained at his court 5 Socrates was earnellly folicited to live there, after the example of this philofophic poet, formed by his precepts and che- rilhed by his friendfhip : men of merit and genius in the various walks of literature and fcience were invited to refide in Macedon, and treated w ith diltinguilhed re¬ gard by a monarch duly attentive to promote his own glory and the happinefs of his fubjedt?.” Ir This great monarch died after a reign of fix years, The king- a fpace by far too ffiort to aecomplilh the magnificent dom be- projefts he had formed. After his death the king-come5a. dom fell under the power of ufurpers or weak andj^^jj^* wicked monarchs. A number of competitors con-flons. ftantly appeared for the throne ; and thefe by turns called in to their afliltance the Thracians, Illyrians, Theffalians, the Olynthian confederacy, Athens, Sparta, and Thebes. Bardyllis, an adtive and daring chief, who, from being head of a gang of robbers, had be¬ come fovereign of the Illyrians, entered Macedon at the head of a numerous army, depofed Amyntas II. the father of Philip, and fet up in his place one Argseus, who confented to become tributary to the Illyrians. Another candidate for the throne, named Faufaniasy w'as fupported by the Thracians j but, by the afliftance of the Theffalians and Olynthians, Amyntas was ena¬ bled to refume the government. After his reiteration, however, the Olynthians refufed to deliver up feveral places of importance belonging to Macedon which A- myntas had either intrufted to their care, or w hich they l9 had taken from his antagonill. Amyntas complained War with to Sparta 5 and that republic, which had already form-die Olyn- ed fehemes of very extenfive ambition, fo readily com-t^‘ans‘ plied with the requeit, that it was generally fuppofed to have proceeded from Spartan emiffaries fent into Mace¬ donia. They pretended indeed to hefitate a little, and to take time to deliberate on the army which ought to be raifed for the purpofe •, but Cleigenes, the principal ambafl’ador, reprefented the urgency of the cafe in fuch a manner, that the troops which happened at that time to be ready were ordered to take the field without delay. Two thoufand Spartans, under the command MAG Macedon. command of Eudamidas, were ordered into Macedon, —~v while a powerful reinforcement under the command of Phoebidas, brother to the general, was ordered to follow him as foon as poflible. By accident, Phoebidas and his auxiliaries were detained till the feafon for ac¬ tion was palTed j but Eudamidas with his fmall army performed very effential fervice. The appearance of a Spartan army at once encouraged the fubjeftsand allies of the Olynthians to revolt j and the city of Potidaea, a place of great importance in the ifthmus of Pallene, furrendered foon after his arrival in the country. Be¬ ing too much elated with his fuccefs, however, Euda- xnidas approached fo near the city of Olynthus, that he was unexpectedly attacked, defeated, and killed, in a Tally of the citizens. He was fucceeded by Teleutias the brother of Agefilaus, who had under his command a body of 10,000 men, and was farther affilted by A- myntas king of Macedon, and Derdas his brother, the governor or fovereign of the molt wefterly province of Macedon, which abounded in cavalry. By thefe for¬ midable enemies the Olynthians were defeated in a number of battles, obl iged to Ihut themfelvesup in their city, and prevented from cultivating their territory ; on which Teleutias advanced with his whole forces to in¬ vert the city itfelf. His exceflive eagernefs to deftroy his enemies proved his ruin. A body of Olynthian horfe had the boldnefs to pafs the river Amnias in fight of the allied army, though fo much fuperior in number. Teleutias ordered his targeteers to attack them, the Olynthians, having retreated acrofs the river, were cloi'ely purfued by the Lacedaemonians, great part of whom alfo parted the river; but the Clynthians fud- denly turned upon them, killed upwards of 100, with Tlemonidas their leader. Teleutias, exafperated at this difafter, ordered the remainder of the targeteers and cavalry to purfue ; while he himfelf advanced at the head of the heavy-armed foot with fuch celerity that they began to fall into diforder. The Olynthians al¬ lowed them to proceed, and the Lacedaemonians very imprudently advanced juft under the towers and battle¬ ments of the city. The townfmen then mounted the walls, and difcharged upon them a fhower of darts, ar¬ rows, and other miftile weapons, while the flower of the Olynthian troops, who had been purpofely ported be¬ hind the gates, fallied forth and attacked them with, great violence. Teleutias, attempting to rally his men, was flain in the firft onfet; the Spartans who attended him were defeated, and the whole army at laft difperfed with great daughter, and obliged to (belter themfelves in the towns of Acanthus, Apollonia,Spartolus, and Potidaea. The Spartans, undifmayed by this terrible difafter, next fent their king Agefipolis with a powerful rein¬ forcement into Macedon. His prefence greatly raifed the fpirits of the Lacedaemonian allies, and his rapid iuc- cefs Teemed to promife a fpeedy termination to the w ar, when he himfelf died of a calenture. He was fucceeded in the throne by his brother Cleombrotus, and in the command of the army by Polybiades an experienced general, who likewife brought along with him a power¬ ful reinforcement. Olynthus was now' completely blocked up by land, while a fquadron of Lacedae¬ monian galleys blocked up the neighbouring harbour of Myceberna. Hie Olynthians, how'ever, held out .or nine or ten months, but at laft w’ere obliged to fub- Vol. XII. Part I. [ 297 1 MAC mit on very humiliating conditions. They formally re- Macedon. nounced all claim to the dominion of Chalcis; they — ’ ceded the Macedonian cities to their ancient governor; j^^qi n and in confequence of this Amyntas left the city of iE-thiansobli- gaea or Edeffa, where till now he had held his royal geo to fub- refidence, and fixed it at Pella, a city of great ftrengthmit- and beauty, fituated on an eminence, which, together p 14 with a plain of confiderable extent, was defended by t^e impaffable morafles, and by the rivers Axius and Ly-ofMace- dias. It was diftant about 15 miles from the AEgeandon. fea, wdth which it communicated by means of the above- menftioned rivers. It w-as originally founded by the Greeks, who had lately conquered and peopled it; but in confequence of the misfortunes of Olynthus, it now became the capital of Macedon, and continued ever af¬ ter to be fo. Amyntas, thus fully eftabliftied in his dominions, continued to enjoy tranquillity during the remaining part of his life. The reign of his fon Alexander was (hort, and difturbed by invalions of the Illyrians; from whom he was obliged to purchafe a peace. He left behind him two brothers, Perdiccas and Philip, both very young ; fo that Paulanias again found means., *5. to ufurp the throne, being fupported not only by the Thracians, but a confiderable number of Greek mer-throne, cenaries, as well as a powerful party in Macedon it¬ felf. In this critical juncture, however, Iphicrates the Athenian happening to be on an expedition to Am- phipolis, was addreflfed by Eurydice the widow of Amyntas, fo warmly in behalf of her two fons, whom (he prefented to him, that he interefted himfelf in their behalf, and got Perdiccas the eldeft eftablilhed on the throne. He was induced alfo to this piece of genefofity by the kindnefs which Eurydice and her hufband had formerly (hown to himfeif; and he like¬ wife faw the advantages which muft enfue to bis coun- 1(j ~ try from a connexion with Macedon. During the Ptolemy minority of the young prince, however, his brother afp'res Ptolemy, who was his guardian, openly afpired to the t‘ie ^rone. throne ; but he was depofed by the Theban general Pelopidas, who reinftated Perdiccas in his dominions; and in order to fecure, in the moft effeftual manner, the dependence of Macedon upon Thebes, carried along with him thirty Macedonian youths as hoftages; and among them Philip, the younger brother of the king. Perdiccas now, elated by the prote&ion of fuch power¬ ful allies, forgot Iphicrates and the Athenians, and even dilputed with them the right to the city of Amphipolis, wLich had been decreed to them by the general coun¬ cil of Greece, but which his oppofition rendered impof- fible for them to recover. In confequence of the truft he put in thefe new allies, alfo, it is probable that he refufed to Bardyllis the Illyrian the tribute which the Macedonians had been obliged to pay him ; which oc- I7 cafioned a war with that nation. In this conteft theTheMaee- Macedonians were defeated with the lofs of 4000 men, 4on‘ans de- Perdiccas himfelf being taken prifoner, and dying foon featec!> and after of his wounds. their king The kingdom was now left in the moft deplorable the Illyri- ftate. Amyntas, the proper heir to the throne, w'asar.s. an infant; the Thebans, in whom Perdiccas had placed fo much confidence, were deprived of the foverejgnty of Greece; the Athenians, juftly provoked at the un¬ grateful behaviour of the late monarch, (bowed a hof- E P tile Mare Jon. Philip ar¬ rives in Ma cedon. 19 Retrieves the affairs of the king dom. M A C [ 298 tile dilpofxtion ; the Illyrians ravaged the weft, and the Paeonians the north quarter of the kingdom ; the Thra¬ cians ftnl lupported the caufe of Paufarrias, and propofed to fend him into IVIacedon at the head of a numerous army ; while Argasus, the former rival of Amyntas, renewed his pretenlions to the throne, and by flattering the Athenians with the hopes of recovering Amphipo- lis, eaflly induced them to iupport his claims ; and in confequence of tins they fitted out a fleet, having on board 3000 heavy-armed foldiers, which they fent to the coaft of Macedon. Philip, the late king’s brother, no fooner heard of his defeat and death, than he let out privately from Thebes *, and on his arrival in Macedon found matters in the fituation we have juft now defcribed. Fired with an infatiabie ambition, it is very probable that from the very firft moment he had refolved to feize the kingdom for himfelf; yet it was neceffary at firft to pretend that he affirmed the throne only to preferve it for his nephew. Philip, as has already been men¬ tioned, was carried off as a hoftage by Pelopidas, but for a long time pall had remained in fuch obfcuri- ty, that hiftorians difagree as to his place of refidence ; feme placing him in Thebes and others in Macedon. It is certain, however, that from the age of 15 he had been very much in the family of Epaminondas, from whofe leffons he could not but derive the greateft emo¬ lument. It is probable alfo that he attended this cele¬ brated general in many of his expeditions j and it is certain, that, with an attendance fuitable to his rank, he vifited moft of the principal republics, and flrowed an attention to their inftitutions, both civil and mili¬ tary, far fuperior to his years. Having eafy accefs to ■whomfoever he pleafed, he cultivated the fritndftiip of the firft people in Greece. Even in Athens, where no good will fubfifted with Macedon, the philofophers Plato, Ifocrates, and Ariftotle, cultivated his acquaint¬ ance : and the connexion he formed with the principal leaders of that republic in the early period of his life, no doubt contributed greatly to the accomplifhment of the defigns in which he afterwards proved fo fuccefsful. His appearance in Macedon inftantly changed the face of affairs : the Macedonian army, though defeated, was not entirely deftroyed ; and the remainder of them fe- cured themfelves in the fortreffes which had been built by Archelaus. There were alfo confiderable garrifons in the fortreffes, and walled towns fcattered over the kingdom 5 and the Illyrians, who had made war only for the fake of plunder, foon returned home to enjoy the fruits of their vidtory. His other enemies, the Thra¬ cians and Pasonians, were much lefs formidable than the Illyrians, being {fill in a very rude and uncivilized ftate, incapable of uniting under one head in fuch a manner as to bring any formidable army into the field. While the Illyrians therefore gave up the campaign through mere caprice and unfteadinefs, Philip himfelf applied to the Paeonians, and by fair promifes and flat¬ tery prevailed upon them to defift. The king of Thrace, by means of a fum of money, was eafily prevailed upon to abandon the caufe of Paufanias ; fo that Philip, freed from thefe barbarians, was now left at liberty to oppofe the Athenians, who fupported Argaeus, and threatened a very formidable invafion. The appearance of the Athenian fleet before Me- ifione, with that of Argfeus at the head of a numerous ' 2. ] MAC army in Pieria, filled the whole country with confter- Macedon nation j and Philip, who was by no means deficient in talents neceffary to recommend himfelf to the good graces of the people, took the opportunity of getting Amyntas fet afide, and himfelf declared king • for Take2s° which indeed the danger of tjie times afforded a very on hiinthel plaufible pretext. Argaeus, in the mean time, advan- ktvcreigntj ced with his Athenian allies towards Edeffa or -fEge, the ancient capital of the Macedonian empire, where he hoped to have been amicably received ; but finding the gates fhut againft him, he returned back to Me- 2r thone. Philip haraffed him in his retreat, cutting off Defeats an, great numbers of his men, and afterwards defeated him klils Args ' in a general engagement^ in which Argaius himfelf,us an ufurP with the flower of his army, was cut in pieces, and all the reft taken prifoners. This firft inftance of fuccefs contributed greatly top. ,-2»2t raife the fpirits of Philip’s party ; and he himfelf took litic treat- cure to improve it in the belt manner poffible. Hav-nientofthej ing taken a great number of priloners, both Macedo-Priloners* nians and Athenians, he determined, by his treatment of them, to ingratiate himfelf with both parties. The former were called into his prefence, and, after a gentle reprimand, admitted to (wear allegiance to him ; after which they were diftributed through the army : the Athenians were entertained at his table, difmiffed without ranfom, and their baggage reftored. The prifoners were juft allowed time to return to their native city and to fpread abroad the news of Philip’s generolity, when they were followed by ambafl'adors from Macedon with propofals for peace. As he knew „ that the lofs of Amphipolis had greatly irritated them, h ^-iphm he now thought proper to renounce his juritdi£lion Amphipo- over that city ; and it was accordingly declared free!15* and independent, and fubje£i only to the government of its own free and equitable laws'. This artful con- duft, together with his kind treatment of the prifoners, fo wrought upon the minds of the Athenians, that they confented to the renewal of a treaty which had formerly fubfifled between them and his father Amyntas. Thus he found means to remove all jealoufy of his ambition or the fehemes he might afterwards undertake to their prejudice ; and not only this, but to induce them to engage in a ruinous war with their allies, which occu¬ pied their attention until Philip had an opportunity of getting his matters fo well eftablilhed that it was impof- fible to overthrow them. _ The new king being thus left at liberty to regulate Reducestiit his domeftic concerns, began to circumfcribe the power Powerofti)e of his chiefs and nobles j who, efpecially in the more no^1^‘ remote provinces, paid very little regard to the autho¬ rity of the kings of Macedon ; fometimes, even in times of public calamity, throwing off their allegiance altogether, and affuming an independent government over confiderable trafts of country. To counteratt cjawfo a the ambition of thefe chiefs, Philip chcfe a body of number of the braveft Macedonian youths, whom he entertained illuftrious at his own table, and honoured with many teltimonies J011"? of his friendfliip, giving them the title of his compa- nions, and allowing them coqftantly to attend him in 1 war and hunting. Their intimacy with the fovereign, which was confidered as an indication of their merit, obliged them to fuperior diligence in all the fevere du¬ ties of military difcipline 5 and the young nobility, eager to participate fuch high honours, vied with each other Macedon i6 Whether e infti til¬ ed the iialanx. *7 vercomes e Pseoni- is and II- rians. MAC [ 299 other in their endeavours to gain admiflion into this time ■' diftinguidied order 5 fo that while on the one hand they ferved as hoftages, on the other they formed an ufeful feminary for future generals, by whom both Philip and Alexander were afterwards greatly affitfed in their con¬ quers. Diodorus Siculus, and all the Roman writers who have treated of the hiftory of Greece, affert that Phi¬ lip, in the firft year of his reign, inftituted the Mace¬ donian phalanx $ a body of 6000 men armed with fhort fwords fitted either for cutting or ftabbing, ha¬ ving alfo ftrong bucklers four feet long and two and a half broad, and pikes 14 feet long j ufually marching 16 men deep. But this opinion is controverted by others. Dr Gillies fuppofes that the opinion had arifen from the Romans meeting with the phalanx in its moil complete form in Macedon j and as they be¬ came acquainted with Greece and Macedon pretty nearly at the fame time, it was natural for them to fuppofe that it had been invented among the Macedo¬ nians. The phalanx, he fays, is nothing different from the armour and arrangement which had always prevailed among the Greeks, and which Philip adopt¬ ed in their moft perfect form 5 “ nor is there reafon (fays he) to think that a prince, who knew the dan¬ ger of changing what the experience of ages had ap¬ proved, made any alteration in the weapons or taffies of that people. The improvement in the counter¬ march, to which Philip gave the appearance of advan¬ cing inflead of retreating, mentioned by /Elian in his Taffies, cap. xxviii. was borrowed, as this author tells us, from the Lacedaemonians. If Philip increafed the phalanx, ufually lefs numerous, to 6000 men, this was far from an improvement ; and the latter kings of Macedon, who fwelled it to 16,000, only rendered that order of battle more unwieldy and inconvenient.” In- Read of this, Philip, according to our author, employ¬ ed himfelf in procuring arms, horfes, and other necef- fary materials for w'ar ; and in introducing a more In¬ ver e and exaft military difeipline than had formerly been known in Macedon. While the king thus took the beft methods to ren¬ der himfelf fecure at home and formidable abroad, the Paeonians again began to make incurfions into the kingdom. The death of Agis their king, however, who was a man of great military Ikill, deprived them almoff of every power of refitfance when they were attacked. Philip, of confequence, overran their coun¬ try with little oppofition, and reduced them to the Rate of tributaries to Macedon. No fooner was this accom- plifhed, than he undertook a winter’s campaign againft the Illyrians, who had long been the natural enemies of Macedon. They had now extended their territory to the ealf by which means the Macedonians were ex¬ cluded from the harbours on the coatt of the Adriatic. This was a grievance to Philip, who feems early to have meditated the raifmg of a naval power ; neither could he hope to be in fafety, fhould the kingdom be left open to the incurlions of a barbarous enemy ; for which reafons he determined at once to humble thofe enemies in fuch a manner that they (hould no longer be in a (ituation to give him any difturbance. After an ineffe&ual negociation, he was met by Bardyllis at the head of a confiderable body of infantry, but with only 400 horfe. They made a gallant refiftance for fome Macedon. ] ‘ MAG ; but being unable to cope with fuch a fkilful ge¬ neral as Philip, they were defeated with the lofs of v~~ 700D men, among whom was their leader Bardyllis, who fell at the age of 90. 2S By this di fa Iter the Illyrians were fo much dilheart-They are ened, that they fent ainbaffadors to Philip, humblyt:olcec* t0 begging tor peace on any terms. I he conquerort.r-bntar^ granted them the fame conditions which had been im- pofed upon the Paeonians, viz. the becoming tributary, and yielding up to him a confiderable part of their country. That part of it which lay to the eaftw'ard of a lake named Lychnidus he annexed to Macedon ; and probably built a town and fettled a colony there ; the country being fertile, and the lake abounding with many kinds of filh highly efteemed by the ancients. This town and lake were about 50 miles diftant from the Ionian fea ; and fuch was the afcendancy which the arms and policy of Philip acquired over his neighbours, that the inhabitants of all the intermediate diitridl foon adopted the language and manners of their conquerors ; and their territory, hitherto unconnefted with any fo¬ reign power, funk into fuch abfolute dependence upon Macedon, that many ancient geographers fuppofed it to be a province of that country. 29 Philip had no fooner reduced the Illyrians, than he^’s 8reat began to put in execution greater defigns than any he^e^tis* had yet attempted. The rich coafts to the fouthward of Macedon, inhabited chiefly by Greeks, prefented a ftrong temptation to his ambition and avarice. The confederacy of Olynthus, after having thrown off the yoke of Sparta, was become more pow’erful than ever, and could fend into the field an army of 10,000 heavy armed troops, befides a number of cavalry in propor¬ tion. Moft of the towns in Chalcidice were become its allies or fubjedts ; fo that this populous and wealthy province, together with Pangseus on the right and Pieria on the left, of both which the cities were ei¬ ther independent or fubjeft to the Athenians, formed a barrier not only fufficient to guard againft any in¬ curfions of the Macedonians, but which was even for* ,0 midable to them. But though Philip was fenfible Plans the enough of the importance of thofe places, he confi-conqueft. dered the conqueft of Amphipolis as more neccffary ^ at the prefent time. By the pofleftion of this place**0 1S* Macedon would be connedled with the fea, and w'ould be fecured in many commercial advantages, which could not but contribute greatly to the profperity of the kingdom at large ; a road was likewife opened to the woods and mines of Pangseus, the former of which wrere fo neceflary to the raifing of a naval power, and the latter for the eftablifhment of a proper military force. This city had indeed been declared indepen¬ dent by Philip himfelf in the beginning of his reign ; but this w’as only to prevent a rupture with the Athe¬ nians, who ftill afferted their right to it as an ancient colony ; though, by reafon of the perfidy of Chari- demus, a native of Euboea, they had hitherto failed in their attempts to recover it. The Amphipolitans, however, having once enjoyed the fweets of liberty, prepared to maintain themfelves in their independence. In the mean time the hoftile defigns of Philip, which all his precaution had not been able to conceal, alarm¬ ed the inhabitants to fuch a degree, that they thought proper to put themfelves under the protedlion of the Olynthians. By them they were readily received in- P p 2 to mag MacetioB. 3* for the A- thenians. to the confederacy j and, trufting to the ftrength of then; new allies, behaved in fuch an infolent manner to ^nip, that he was not long of finding a fpecious pretext for hoftility ; at which the Olynthians, great- Ay alarmed, fent ambaflfadors to Athens, requefting their affiftance again!! fuch a powerful enemy. Philip however, jullly alarmed at fuch a formidable confpi- ri!Cy’i/ent ^ents to ^thens» with fuch expedition that they arrived there before any thing could be con¬ cluded with the Olynthian deputies. Having gained over the popular leaders and orators, he deceived and flattered the magiftrates and fenate in fuch an artful Engages to manner, that a negociation was inftantly fet on foot conquer it by which Philip engaged to conquer Amphipolis for’ the Athenians, upon condition that they furrendered to him the itrong fortrefs of Pydna, a place which he reprefented as of much lefs importance to them j promifing alfa to confer upon them many other ad¬ vantages, which, however, he did not fpecify at that time. . Thus the Athenians, deceived by the perfidy of their own magiftrates, elated with the hopes of re¬ covering Amphipolis, and outwitted by the fuperior policy of Philip, rejeded with difdain the proffers of the Olynthians. . The ambafladors of Olynthus returned home highly difgufted with the reception they had met with ; but had fcarce time to communicate the news to their coun¬ trymen, when the ambafladors of Philip arrived at O- lynthus. He pretended to condole with them on the affront they had received at Athens; -but teftified his furprife that they fhould court the afliftance of that dif- tant and haughty republic, when they could avail them- felves of the powerful kingdom of Macedon, which wiihed for nothing more than to enter into equal and Jafting engagements with their confederacy. As a proof of his moderation and iincerity, he offered to put them in poffeflion of Anthemus, an important town in the [ 300 ] MAC powerful an enemy, furrendered at laft at difcretion in Macedon the year 357 B. C. . . ^ ^ . Philip ftill proceeded in the fame cautious and poll- tic manner in which he had begun. Though the ob- ftinate defence of the Amphipolitans might have fur- niftied a pretence for feverity, he contented himfelf with baniffiing a few of the popular leaders from whom he had moft caufe to dread oppofition, treating the reft: of the inhabitants with all manner of clemency • but took care to add Amphipolis to his own domi¬ nions, from which he was determined that it never fhould be feparated, notwithftanding the promifes he had made to the Athenians. Finding that it was not his intereft at this time to fall out with the Olynthians he cultivated the friendftiip of that republic with great afliduity ; took the cities of Pydna and Potid^a, which he readily yielded to the Olynthians, though they had given him but little afliftance in the reduftion of thefe places. Potidtea had been garriloned by the A.thenians, and them the artful king fent back with¬ out ranfom, lamenting the neceflity of his affairs which obliged him, contrary to his inclination, to oppofe their republic. Though this was rather too grofs, the A- thenians at prefent were fo much engaged with the So¬ cial war, that they had not leifure to attend to the af¬ fairs of other nations. Philip made the heft ufe of his time, and next proje&ed the conqueft of the gold mines of Thrace. That rich and fertile country was now Makes3him- held by one Cotys, a prince of fuch weak intelleaual matter faculties, that the fuperftition of the Greeks, intoof the £ol(i which he was newly initiated, had almoft entirely fub- ^[neS of verted his reafon ; and he wandered about in queft of hraCe* the goddefs Mmerva, with whom he fancied himfelf in love. The invafion of the Macedonians, however awaked him from his reverie; and Cotys, finding him¬ felf deftitute of other means of oppofition, attempted to flop the progrefs of the enemy by a letter. To this *urhood, ofwhich the Macedonians had long PhiliJ : tSal^ inftantly claimed the junfdiaion, making many other fair pro- expelled from their poffeflions at Crenidse, where there mifes and among the reft that he would reduce for w'ere very valuable gold mines. Thefe had formerly them the cities of Pydna and Potidgea, which he chofe been worked by colonies from Thafos and Athens : bu^ rather ^to fee in dependence on Olynthus than Athens, the colonifts had long fince been expelled by the bar^ 1 hus he prevailed upon the Olynthians not only to abandon Amphipolis, but to affift him with all their power in the execution of his defigns. Philip now loft no time in executing his purpofeson Amphipolis; and preffed the city fo clofely, that the people were glad to apply to the Athenians for relief. Accordingly they defpatched two of their moft eminent citizens, P^ierax and Stratocles, to reprefent the dan¬ ger of an jilliance betwixt Philip and the Olynthians, and to profefs their forrow for having fo deeply offend¬ ed the parent ftate. This reprefentation had fuch an effecff, that though the Athenians were then deeply engaged in the Social war, they would probably have paid fome attention to the Amphipolitans, had not Phi¬ lip taken care to fend them a letter with frefti affuran- ces of friendlhip, acknowledging their right to Amphi¬ polis, and which he hoped Ihortly to put into their hands in terms of his recent agreement. By thefe fpe¬ cious pretences the Athenians were perfuaded to pay as little regard to the deputies of the Amphipolitans as Ampbipolis ^ey had already done to thofe of the Olynthians ; fwxenders. fo that the city, unable to defend itfelf alone againft fo 4 barous Thracians, who knew not how to make ufe of the treafure they were in poffeflion of. Philip took the trouble to defcend into the mines himfelf, in order to infpeft the works ; and having caufed them to be repaired, planted a Macedonian colony at Crenidse, beftowed upon it the name of Philippi, and drew annually from the gold mines to the value of near 1000 talents, or 200,000!. fterling ; an immenfe fum in thofe days. The coins ftruck here were likewife cal¬ led Philippi. Philip having obtained this valuable acquifition, Settles the next took upon him to fettle the affairs of Theffaly, affair* of where every thing was in confufion. This country Theflaly had been formerly oppreffed by Alexander tyrant of ^ Pheras; after whofe death three others appeared, viz. tage. Tiftiphornus, Pitholaus, and Lycophron, the brothers- in-law of Alexander, who had likewife murdered him. By the united efforts of the Theffalians and Macedo¬ nians, however, thefe ufurpers were eafily overthrown, and effettually prevented from making any difturbances for the future ; and the Theffalians, out of a miftaken gratitude, furrendered to Philip all the revenues arifing from 1 Macedon. 35 Tarries lympias. .general >mbina- on of the ;ighbour- ig princes irmed a- unit him. 37 . lefeats his . 33' irth of .lexander le Great. 39 .riftotle ^pointed is precep- ir. 40 ixtent of lie Mace- onian ter- itories. .4r rojedls ie con- ueft of O- : r nthus nd of all Ireece. MAC [ 301 from their fairs and towns of commerce, as well as all the the conveniences of their harbours and (hipping 5 a conceflion which Philip took care to fecure in the moft effe&ual manner. Having now not only eltablilhed his fovereignty in the molt effe£tual manner, but rendered himlelf very powerful and formidable to his neighbours, Philip de¬ termined to enjoy fome repofe from his fatigues. Hav¬ ing formed an alliance with Arybbas king of Epirus, he in the year 357 B. C. married Olympias the li¬ fter of that prince j a match thought the more eligible, as the kings of Epirus were fuppofed to be defcended from Achilles. The nuptials were folemnized at Pella with great pomp, and feveral months were fpent in (hows and diverfions j during which Philip Ihowed fuch an extreme pronenefs to vice of every kind, as difgraced him in the eyes of his neighbours, and moft probably laid the foundation of his future domeftic un- happinefs. So much was this behaviour of the Mace¬ donian monarch taken notice of by the neighbouring Hates, that the Paeonians and Illyrians threw off the yoke, engaging in their fchemes the king of Thrace : and notwithftanding the infane ftate of that prince, their defigns wrere now carried on with more judgment than was ufual with barbarians. Philip, however, not¬ withftanding his diflxpation, got warning of his dan¬ ger in fufficient time to prevent the bad confequences which might have enfued had the confederates got time to bring their matters to a proper bearing. Early in the fpring 356 he took the field with the flower of the Macedonian troops. Having marched in perfon againft the Paeonians and Thracians, he defpatched Parmenio his belt: general into Illyria. Both enter- prifes proved fuccefsful; and while Philip returned vi&orious from Thrace, he received an account of the victory gained by Parmenio ; a fecond meffenger in¬ formed him of a viftory gained by his chariot at the Olympic games , and a third, that Olympias had been delivered of a fon at Pella. This was the celebrated Alexander, to w horn the diviners prophefied the higheft profperity and glory, as being born in fuch aufpicious circumftances. A Ihort time after the birth of Alexander, Philip wrote a letter to the philofopher Ariftotle, whom he chofe for preceptor to his young fon. The letter was written with great brevity, containing only the fol¬ lowing words : “ Know that a fon is born to us. We thank the gods not fo much for their gift, as for beftowing it at a time when Ariftotle lives. We af- fure ourfelves that you will form him a prince worthy, of his father, and worthy of Macedon.” He next fet about the farther enlargement of his territories, which were already very confiderable. Paeonia was now one of his provinces; on the eaft his dominions extended to the fea of Thafos, and on the weft to the lake Lychnidus. The Theffalians were in effeft fubjeft to his jurifdi&ion, and the poffeflion of Am- phipolis had fecured him many commercial advantages j he had a numerous and well-difciplined army, with plentiful refources for fupporting fuch an armament, and carrying through the other fchemes fuggefted by his ambition ; though his deep and impenetrable poli¬ cy rendered him more truly formidable than all thefe put together. His firft fcheme was the reduftion of Olynthus, the moft populous and fertile country on ] MAC borders of Macedon ; after which his ambition Macedon. prompted him to acquire the fovereignty of all Greece. ~v To accomplilh the former, he had hitherto courted the friendlhip of the Olynthians by every poflible method; and without letting Hip any opportunity Jo accomplilh the latter, he deprived the Athenians gradually of feveral of their fettlements in Thrace and Macedon. In thefe depredations, however, he took care always to give fuch appearance of juftice to his attions, that his anta- gonifts, who had ftudied the matter lefs deeply, could not find a plaufible pretext for engaging in wrar againft him, even when he had openly committed hoftilities againft them. Philip eafily perceived that the affairs of the Greeks were coming to a crifis, and he deter¬ mined to wait the event of their mutual diffenfions. 42 That event did not difappoint his hopes. The Phocians Account of had violated the religion of thofs days in a moft; eXi die Phouan traordinary manner j they had even ploughed up the lands confecrated to Apollo: and however they might pretend to excufe themfelves by examples, the Am- phi&yons fulminated a decree againft the Phocians, commanding the facred lands to be laid wafte, and im- pofing a heavy fine upon the community. By this decree all Greece was again involved in the war called P/iocian, from the name of the city about which it commenced. Philip at the beginning of the troubles was engaged in Thrace, where a civil war had taken place among the fans of Cotys j and wherever Philip interfered, he was fure to make matters turn out to his own advantage. His encroachments at length became fo enormous, that Kerfobietes, the moft powerful of the contending princes, agreed to cede the Thracian Cherfonefus to the Athenians; who immediately fent Chares at the head of a powerful armament to take poffeflion of it. In this expedition the town of Seftos was taken by ftorm, and the inha¬ bitants cruelly treated by Chares, while Philip employ- ^ ed himfelf in the liege of Methone in Pieria. This city Philip lofes he likewife reduced; but the king loft an eye atthe liege aP eye at in the following extraordinary manner, if we may give credit to fome ancient hiftorians. A celebrated archer, named After, had, it feems, offered his fervices to Phi¬ lip, being reprefented as fuch an excellent markfman, that he could hit the fwifteft bird on the wing. Phi¬ lip replied, that he would be of excellent ufe if they were to make war with ftarlings. After, difgufted with this reception, went over to the enemy, and with an arrow wounded the king in the eye. When the weapon w'as extracted, it was found to have on it the following infcription : “ For the right eye of Philip.” The king ordered the arrow to be (hot back again, with another infcription importing that he would caufe After to be hanged when the town was taken. A report was raifed after Philip’s death, that he had loft his eye by prying too narrowly into the amours of Olympias and Jupiter Ammon ; w'hich the vanity of his fuccefior prompted him to cherilh, as his flatterers had probably been the inventor of it. All this time the Phocian war raged with the great- eft fury, and involved in it all the Hates of Greece. Lycophron, one of the Theffalian tyrants, whom Philip 44 had formerly deprived of his authority, had again *s engaged found means to re-eftablilh his authority, and his coun- with'onc- trymen having taken part with the Phocians, Lyeo-marchUs phron called in Onomarchus, the Phocian general, to the Phoci&a ptoted general, Macedon. MAC 45 protea him againft the power of Philip, by whom he was (enable that he would foon be attacked. The king accordingly marched into Theffaly with a confiderable army, defeated Phyallus the brother of Onomarchus, whom the latter had fent into the country with a de- tacnment of 7000 men. After this he befieged and took the city of Pega&, driving the enemy towards the frontiers of Phocis. Onomarchus then advanced with the whole army ; and Philip, though inferior in numbers, aid not decline the engagement. The Pho- cians at fird gave ground, on which the Macedonians purfued, but in good order ; but coming near a pre- • ~ cipice, on the top of which Onomarchus had potted who defeats a detachment of foldiers, the latter rolled down {tones and fragments of the rock in fuch a manner as did dreadful execution, and threw them into the utmoft diforder. Philip, however, rallied his troops with great prefence of mind, and prevented the Phocians from gaining any farther advantage than they had already done j faying, as he drew off his men, that they did not retreat through fear, .but like rams, in order to (trike with the greater vigour. Nor was he long before he made good his affertion 5 for having re¬ cruited his army with the greateft expedition, he re¬ turned into Theffaly at the head of 20,000 foot and laft defeat- 5°0 horfe.’ where 'vas rnet hy Onomarchus. The ed and ^aerftition of the Greeks, bow'- ever, had not yet blinded them to fuch a degree, but they could eafily perceive that Philip’s piety was a mere pretence, and that his real defign was to invade and conquer the whole country. The Athenians no fooner heard of the march of the Macedonian army, than they defpatched, with all expedition, a ftrong guard to fecure the pats of Thermopylte ; fo that Phi” ?I lip was obliged to return greatly chagrined and dif-Is prevent- appointed. Their next ftep was to call 'an affembly,ecl frora en‘ to deliberate upon the mealures proper to be taken intering order to reftrain the ambition of the Macedonian m0-Greece* narch ; and this aflembly is rendered memorable by the firft appearance of Demofthenes as an orator againft Philip. Athens for feme time had been in a very alarming fituation. They were deeply involved in the facred war ; their northern poffefiions were continually infulted and plundered by Philips while a number of his mercenary partifans drew off the pub¬ lic attention to fuch a degree, that, inftead of taking meafures to counteraft that ambitious prince, they a- mufed M A C [ 303 ] MAC s2 :treme lolence d care- Ihefs of e Athe- .S3 , Ivice of icrates e orator them. lacedon. mufed themfelves with fpeculations about the defigns —j of the Perfian monarch, who was preparing for Avar againfl: the Cyprians, Egyptians, and Phoenicians. Ifo- crates the celebrated orator, and Phocian the ftatef- man, joined the multitude in their prefent opinion, though not from any mercenary motives, but purely from a fenfe of the unfteady conduft of the Athenians *, who, they were aflured, could not contend with a prince of the vigour and aftivity of Philip •, and there¬ fore exhorted them by all means to cultivate the friend- Ihip of Philip, whom they could not oppofe with any probability of fuccefs. Ifocrates, indeed, greatly wilh- ed for an expedition into Afia, and looked upon Phi¬ lip to be the only general capable of conducing it, though at prefent the Greeks had no pretence for making war upon the Perlians, but that of revenging former injuries : and on this fubjetl he addrefled a difcourfe’to Philip himfelf j and it is even faid, that Ifocrates, by the power of his rhetoric, prevailed upon Philip and the Athenians to lay afide their animofities for a thort time, and confent to undertake this expedi¬ tion in conjunction. If this coalition, however, did really take place, it was of very fliort duration. The views of Phocion eiw,Cdand Iterates were violently oppofed by Demotthenes. Though fenfible of the corruption and degeneracy of his countrymen, be hoped to be able to roufe them from their lethargy by dint of his eloquence ; a ta¬ lent he had been at great pains to cultivate, and in which he is faid to have excelled all men that ever exiited. In his firft addrefies to the people, this celebrated orator exhorted them to awake from their indolence, and to affurae the direftion of their own affairs. They had been too long governed, he faid, by the incapa¬ city of a few ambitious men, to the great diladvantage as well as difgrace of the community. In the firft place, art orator who had placed himfelf at the head of a faCIion of no more than 300 or 400, availed him¬ felf and his follow'ers of the careleffnefs and negligence of the people, to rule them at pleafure. From a con- fideration of their prefent weaknefs and corruption, as w ell as op the defigns and commotions of the neigh¬ bouring powers, he advifed them to abandon all ro¬ mantic and diftant fchemes of ambition ; and inftead of carrying their arms into remote countries, to pre¬ pare for repelling the attacks which might be made upon their own dominions. He infifted alfo upon a better regulation of their finances, a more equal dif- tribulion of the public burdens, in proportion to the abilities of thofe upon whom they were laid, and upon the retrenching many fuperfluous expences. Having pointed out in a ftrong light the vigorous conduft of Philip •, and ftiown by what means he had attained to fuch a refpeftable footing in the world, he next laid down a proper plan for their military operations. He told them, that they were not yet prepared to meet Philip in the field ; they muft begin with pro- tefting Olynthus and the Cherfonefus, for which it would be neceffary to raife a body of 2000 light arm¬ ed troops, with a due proportion of cavalry, which ought to be tranfported under a proper convoy to the ifiands of Lemnos, Thafos, and Sciathos, in the neigh¬ bourhood of Macedon. In thefe they would enjoy all kinds of neceffaries in abundance, and might avail 54 ; and loc ion Demof- enes. 55 bftance h:s firit .courfes. themfelves of every favourable incident, to appear at the firft fmnmons of their allies j and either to repel the incurfions of the Macedonians, or harafs their territo¬ ries. While this rvas going on, more vigorous prepa¬ rations might be made for war at home ; and it Avas propofed, that only the fourth part of the Athenian citizens (hould enlift, and no more fupplies were want¬ ed at prefent but 90 talents. But notwithftanding the moderation of theie propofals, and the urgent neceffi- ties of the ftate, it was impoflible to prevail upon the indolent and carelefs Athenians to provide for their oAvn fafety. They appear, indeed, at this time to have been defperately funk in effeminacy and diffipa- tion j Avhich difpofition Philip took care to encourage to the utmoft: of his power. There Avas an affembly in the city called the Sixty, from their confiding original¬ ly of that number, Avho met exprefsly for the purpofes of extinguiftung all care about public affairs, and to in¬ toxicate themfelves with every kind of pleafure they had in their power. With this affembly Philip was lo avcIL pleafed, that he fent them money to fupport their extra¬ vagancies j and fo effedlually did they anfwer his pur¬ pofes, that all the eloquence of Demofthenes could not counleradl the fpeeches of orators much his inferiors when backed by Macedonian gold. Philip himfelf, as avc have already hinted, Avas ex- ceflively debauched in his private eharafter, and the moft fhameful ftories are related of him by the ancient writers, particularly by Demoflhenes. Thoopompus, too, an author Avho flouriftied in the time of Alexan¬ der, and w'as rewarded and honoured by that monarch, alfo fpeaks of him in fuch terms as Ave cannot with de¬ cency relate : but thefe accounts, coming from the avowed enemies of the king, are fearcely to be credit¬ ed ; and perhaps policy, as well as inclination, might contribute fomewhat to this fcandalous behaviour, that he might thereby recommend himfelf to the libertines of Athens, and prevent even many of the more think¬ ing part of the people from fuipedling his defigns. But in Avhatever exceffes he might at times indulge himfelf, he never loft fight of his main objeft, the fub- jugation of the Greek ftates. On pretence of being in Avant of money to defray the expence of his build¬ ings, he borrowed money at a very high price through¬ out the Avhole country j and this he found an eafy mat¬ ter to do, as the diffipation of the Delphic treafures had rendered cafh very plentiful in Greece. Thus he attached his creditors firmly to his own intereft ; and on pretence of paying debts, was enabled without mo- leftation to beftow' a number of penfions and gratuities upon the Athenian orators, who by their treacherous harangues contributed greatly to the ruin of their country 5 at leaft as far as it could be ruined by fub- jeftion to a prince who would have obliged them to remain at peace, and apply themfelves to ufeful arts. Thefe he himfelf encouraged in a very eminent degree. The greateft part of his time was employed at Pella, which city he adorned in the moft magnificent manner with temples, theatres, and porticoes. He invited by liberal rewards, the moft ingenious artifts In Greece5 and as many of thefe met with very little encourage¬ ment in their own country, great numbers flocked to him from all quarters. In the government of his peo¬ ple, alio, Philip behaved \vith the utmoft impartiality : liftening with condefcenfion to the complaints of the meaneft. Over $6 a peace. MAC [ 304 ^Macedon, meaneft o£ his fubje&s, and keeping up a conftant cor- ^ refpondence with thofe whom he thought worthy of his acquaintance; from which, it is not eafy to imagine how he could be fo guilty of the vices we have already mentioned from fome ancient hiftorians. The. fate of Olynthus was now foon determined. This city, which held the balance of power betwixt Athens and Macedon, was taken and plundered, and the inhabitants fold for Haves; but the chief hope of Philip was in putting an end to the Phocian war. For this purpofe he affe&ed a neutrality, that he might thereby become the arbiter of Greece. His hopes were well founded j for the Thebans, who were at the head of the league againft the Phocians, foli- cited him on the one fide, and the ftates confede¬ rate with the Phocians did the like on the other. He anfwered neither, yet held both in dependence. In his heart he favoured the Thebans, or rather placed his hopes of favouring his own caufe in that itate $ for he well knew, that the Athenians, Spar¬ tans, and other ftates allied with Phocis, would ne¬ ver allow him to pafs Thermopylae, and lead an army into their territories. So much r(?fpe£t, however, did * he (how to the ambafladors from thefe ftates, parti¬ cularly Ctefiphon and Phrynon, who came from A- thens, that they believed him to be in their intereft, and reported as much to their mafters. The Athe- Athenbns6 n^ns’ were now diflblved in eafe and lu'xury, re- andatlaft peivec^this news with great, fatisfadion ; and named concludes immediately tep plenipotentiaries to go ^nd treat of a full and lading peace with Philip. Among thefe ple¬ nipotentiaries were Demofthenes and iEfchines, the moft celebrated orators in Athens. Philip gave di¬ rections that thefe ambaffadors ftiould be treated with the utmoft civility ; naming, at the fame time, three of his minifters to confer with them, viz. Antipater, Par- menio, and Eurylochus. Demofthenes being obliged to return to Athens, recommended it to his colleagues not to carry on their negociations with Philip’s depu¬ ties ; but to proceed with all diligence to court, there to confer' with the king himfelf. The ambafla¬ dors, however, were fo far from following his in- ftrudions, that they fuffered themfelves to be put oif for three months by the arts of Philip and his mini¬ fters. . In the mean time, the king took from the Athe¬ nians. fuch places in Thrace as might beft cover his frontiers j giving their plenipotentiaries, in their ftead, abundance of fair promifes, and the ftrongeft aflu- rances that his good will Ihould be as beneficial to them as ever their colonies had been. At laft a peace was concluded ; but then the ratification of it was deferred till Philip had poflefled himfelf of Pheraea in Theflaly, and faw himfelf at the.head of a numerous army : then, he ratified the treaty 5 and difmifled the plenipo¬ tentiaries with aflurances, that he would be ready at all times to give the Athenians proofs of his friendflrip. On their return to Athens, when this matter came to be debated before the people, Demofthenes plainly told them, that, in his opinion, the promifes of Phi- Up ought not to be relied on, becaufe they appeared to be of little fignificance in themfelves, and came from a prince of fo much art, and fo little fidelity, that they could derive no authority from their maker. jEf- chines, on the other hand, gave it as his fentiment, ] MAC that the king of Macedon’s aflurances ought to give Mac^iW them full fatisfaftion. He faid, that for his part, vi he was not politician enough to fee any thing of difl guife or diflimulation in the king’s condudl j that there was great danger in diftrufting princes j and that the fureft method of putting men upon deceit was to fhow that we fufpela?’and V> a + l-t ft «• 1% a w ■ -1 sJ X*_ II ni—• mi 1 . . ° ends the whether he would fall on Phocis or Thebes j but he p^5 the quickly undeceived them, by commanding his foldiers wan^ to put on crowns of laurel, declaring them thereby the troops of Apollo, and himfelf the lieutenant-gene¬ ral of that god. He then entered Phocis with an air of triumph $ which fo terrified the Phocians, whom he had caufed to be proclaimed facrilegious perfons, that they immediately difmifled all thoughts of de¬ fence, and without more ado fubmitted to his mercy. Thus the Phocian war, which had fo long employed all Greece, was ended without a ftroke j and the judge¬ ment on the Phocians remitted to the Amphi&yons, or grand council of Greece. By their decree the walls of three Phocian cities were demolilbed, the peeple were forbid to inhabit in any but villages, to pay a yearly tribute of 60 talents, and never to make ufe either of houfes or arms till they had repaid to the temple of Apollo the money they had facrilegioufly carried from thence. Their arms were taken from them, broken to pieces, and burnt; their double voice in the council was taken from them, and given to the Macedonians.-Other orders were made for fettling the affairs both of religion and ftate throughout Greece : all of which were executed by Philip with great exadl- nefs and moderation, he paying the moft profound re- fpeft to the council; and, when he had performed its commands, retiring peaceably with his army back to Macedon, which gained him great reputation. At Athens' alone, the juftjce and piety of Philip was not underftood. The people began to fee, though a little too late, that they had been abufed and deceived by thofe who had negociated the late peace. They js ag5ain faw that, through their acceptance of it, the Phocians oppoled by were deftroyed $ that Philip was become mafter of the Athe“ Thermopylae, and might enter Greece when he plea-11^115, fed $ that, in abandoning their allies, they had aban¬ doned themfelves ; and that, in all probability, they might foon feel the weight of his power, whom they ' had fo fooliftily trufted : they therefore began to take new and hoftile meafures they ordered that the w'o- men fliould retire out of the villages into the city, their M alls be repaired, and their forts new ftrengthen- ed. MAC [ 3°5 ] MAC Macedon. ed. They feemed inclined to queftion Philip’s elec- tion into the council of the AmphiflyonSj becaufe it had been done without their confent} and even to pro¬ ceed to an open war. In all likelihood they had car¬ ried things to extravagancy, if Demofthenes had not interpofed. He told them, that though he was not for making the peace, he was however for keeping it j and that he faw no manner of occalion for their enter¬ ing into fo unequal a conteft as would needs enfue, if they took up arms, not only againft Philip, but againft all the ftates concurring with him in the late tranfatlions. This feems to have cooled the rage of the Athenians ; and to have brought them to think of ruining Philip by degrees, as by degrees they had raifed 59 hIm; Purities his The fame of his achievements without the bounds zonquefts 0f Macedon having difpofed the fubjefts of Philip to n Ihrace. jj0pe every thing from his conduct, and the feveral ftates of Greece to delire above all things his friend- fliip j that prudent monarch laid hold of this favourable fituation to fix his dominion on fuch a liable founda¬ tion as that a reverfe of fortune Ihould not immediate¬ ly deftroy it. To this end, while he carried on his negociations through Greece, he likewife kept his 60 army in exercife, by taking feveral places in Thrace, hsdomi- which terribly incommoded the Athenians. Diopi- aded by t^es’ w^° government of the Athenian colo- )iopithes; n*es *n thofe parts, perceiving well what end Philip had in view, did not flay for inftrudlions from home $ but having raifed with much expedition a confider- able body of troops, taking advantage of the king’s being abfent with his army, entered the adjacent territories of Philip, and wafted them with fire and fword. The king, who, on account of the operations of the campaign in the Cherfonefe, was not at leifure to re¬ pel Diopithes by force, nor indeed could divide his army without imminent hazard, chofe, like an able ge¬ neral, rather to abandon his provinces to infults, which might be afterwards revenged, than, by following the diflates of an ill-timed paflion, to hazard the lofs of his veteran army, whereon lay all his hopes. He con¬ tented ^ himfelf, therefore, with complaining to the Athenians of Diopithes’s conduft, who in a time of peace had entered his dominions, and committed fuch devaftations as could fcarcely have been juftified in a time of war. His partifans fupported this application with all their eloquence. They told the Athenians, that unlefs they recalled Diopithes, and brought him to a trial for this infringement of the peace, they ought not to hope either for the friendlhip of Philip or of any other prince or ftate j neither could they juftly complain, if, prompted by fuch a precedent, others 61 Ihould break faith with them, and fall without the J notice upon their dominions. Demofthenes de- ll eraofthe- ^ended D<0pithes 5 and undertook to ftiow that he de- :i. ’ ferved the praife and not the cenfure of the Athenians. Thofe of the other party began then to charge him with crimes of a different nature ; they alleged, that he oppreffed the fubje&s and maltreated the allies of Athens. Demofthenes replied, that of thefe things there were as yet no proofs ; that when fuch ftiould appear, a fingle galley might be fent to bring over Dio¬ pithes to abide their judgment, but that Philip would not come if they fent a fleet; whence he inferred. Vol. XII. Part I. that they ought to be cautious, and to weigh well the Macedon. merits of this caufe before they took any refolution. He faid, that it was true Philip had not as yet at¬ tacked Attica, or pretended to make a defcent on their territories in Greece, or to force his way into their ports ; when it came to that, he was of opinion they would be hardly able to defend themfelves ■, wherefore he thought fuch men were to be efteemed as fought to prote61: their frontiers, in order to keep Philip as long as might be at a diftance : whereupon he moved, that, inftead of difowning what Diopithes had done, or direfting him to difmifs his army, they Ihould fend him over recruits, and Ihow- the king of Macedon they knew how to protect their territories, and to maintain the dignity of their ftate, as well as their anceftors. Thefe arguments had fuch an effedt, that a decree was made conformable to his motion. While affairs flood thus, the Illyrians recovering courage, and feeing Philip at fuch a diftance, haraffed the frontiers of Macedon, and threatened a formidable invafion : but Philip, by quick marches, arrived on the borders of Illyricum j and ftruck this barbarous people with fuch a panic, that they were glad to com¬ pound for their former depredations at the price he was pleafed to fet. Moft of the Greek cities in Thrace now fought the friendlhip of the king, and entered in¬ to a league with him for their mutual defence. As it cannot be fuppofed that each of thefe free cities had a power equal to that of Philip, we may therefore look fo upon him as their protedlor. About this time Philip’s Philip’s negociations in Peloponnefus began to come to light j Schemes the Argives and Meffenians, growing weary of that^e^eate^* tyrannical authority which the Spartans exercifed over them, applied to Thebes for afliftance ; and the The¬ bans out of their natural averfion to Sparta, fought to open a paffage for Philip into Peloponnefus, that, in conjunction with them, he might humble the Lace¬ daemonians. Philip readily accepted the offer j and refolved to procure a decree from the Amphi'CIyons, di¬ recting the Lacedaemonians to leave Argos and Meffene free j which if they complied not with, he, as the lieu¬ tenant of the AmphiCtyons, might, with great appear¬ ance of juftice, march with a body of troops to enforce their order. When Sparta had intelligence of this, ftie immediately applied to Athens, earneftly entreat¬ ing afliftance, as in the common caufe of Greece. The Argives and Meffenians, on the other hand, laboured afliduoufly to gain the Athenians to their fide j alleging that, if they were friends to liberty, they ought to af- fift thofe whofe only aim was to be free. Demofthe¬ nes, at this junCture, outwreftled Philip, if we may borrow that king’s expreflion ; for, by a vehement ha¬ rangue, he not only determined his own citizens to be¬ come the avowed enemies of the king, but alfo made the Argives and Meffenians not over fond of him for an ally j which when Philip perceived, he laid afide all thoughts of this enterprife for the prefent, and began to praCtife in Euboea. This country, now called Negropont, is feparated from Greece by the Euripus, a ftrait fo narrow, that Euboea might eafily be united to the continent. This, fituation made Philip call it the fetters of Greece, which he therefore fought to have in his own hands. There had been for fome years great difturbances in that country j under colour of which, Philip fent forces Q. 9 thither, MAC ' r 306 ] MAC Macedon. thither, and demoliflied Porthmos, the ilrongeft city " v in thofe parts, leaving the country under the govern¬ ment of three lords, whom Demollhenes roundly calls tyrants) eftablifhed by Philip. Shortly after, the Ma¬ cedonians took Oreus, which was left under the go¬ vernment of five magiftrates, ftyled alfo tyrants at A- thens. I hither Plutarch of Eretria, one of the moll eminent perfons in Euboea, went to reprefent the di- flreffes ol his country, and to implore the Athenians to let it free. This fuit Demofthenes recommended warm¬ ly to the people ; who fent thither their famous leader Phocion, lupported by formidable votes, but a very llender army : yet fo well did he manage the affairs of the commonwealth and her allies, that Philip quickly found he muff for a time abandon that projedl j which, however, he did not till he had formed another no lefs beneficial to himfelf, or lefs dangerous to Athens. It was the profecution of his conquells in Thrace which he thought of pulhing much farther than he had hitherto done, or could be reafonably fufpedled to have any in¬ tention of doing. Extraordinary preparations were made by the Ma¬ cedonian monarch for this campaign. His fon Alex¬ ander was left regent of the kingdom •, and he himfelf with 30,000 men laid fiege to Perinthus, one of the ftrongeft cities in the country. At prefent, however, all his arts of cajoling and pretending friendlhip were infufficient to deceive the Athenians. They gave the command of their army and fleet to Phocion; a general of great abilities, and with whom Philip would have found it very hard to contend. On the other hand, the king of Perfia began to turn jealous of the growing power of the Macedonian monarch. The Perfian kings had been accuflomed to regard thofe of Macedon as their faithful allies; but the good fortune of Philip, the continual clamour of the Athenians againlt him, and his dethroning at pleafure the petty princes of Thrace, made him now regarded in another light. When, therefore, he led his troops againll Perinthus, the Great King, as he was ftyled by the Greeks, fent his letters mandatory to the governors of the maritime provinces, dire&ing them to fupply the place with all things in their power ; in confequence of which they filled it with troops, granted fubfidies in ready money, and fent befides great convoys of provifion and ammunition. The Byzantines alfo, fuppofing their own turn would be next, exerted their utmoft endeavours for the preferva- tion of Perinthus ; fending thither the flower of their youth, with all other neceffaries for an obftinate de¬ fence. The confequence of all this was, that Philip found himfelf obliged to raife the fiege with great 63 lQfs- How he at That the reputation of the Macedonian arms might laft gaised not fink by this difgrace, Philip made war on the Scy- im point, thians and Triballi, both of whom he defeated ; and then formed a defign of invading Attica, though he had no fleet to tranfport his troops^ and knew very well that the Theffalians were not to be depended up¬ on if he attempted to march through the Pifse, and that the Thebans would even then be ready to oppofe his march. To obviate all thefe difficulties, he had recourfe to Athens itfelf; where by means of his par- tifans, he procured his old friend JEfchines to be fent their deputy to the Amphiftyons. This feemed a fmall matter, and yet -was the hinge on which his whole projea turned. By that time iEfchincs had ta- Macedon. ken his feat, a queftion was ftirred in the council, whether the Locrians of Amphifia had not been guilty of facrilege in ploughing the fields of Cyrrha in the neighbourhood of the temple of Delphi. The affembly being divided in their opinions, AZdchines propofed to take a view, which was accordingly decreed. But when the Amphiftyons came in order to fee how things flood, the Locrians, either jealous of their property, or fpurred thereto by the fuggeftions of fome who faw farther than themfelves, fell upon thofe venerable perfons fo rudely, that they were compelled to fecure themfelves by flight. The Amphidlyons decreed, that an army ffiould be raifed, under the command of one of their own number, to chaftife the delinquents; but as this army was to be compofed of troops fent from all parts of Greece, the appearance at the rendezvous was fo inconfiderable, that the Amphi&yons fent to command them durft undertake nothing. The whole matter being reported to the council, iEfchines, in a long and eloquent harangue, {bowed how much the welfare and even the fafety of Greece depended on the deference paid to their decrees ; and after inveighing againft the want of public fpirit in fuch as had not fent their quotas at the time appointed by the coun¬ cil, he moved that they ftiould eledl Philip for their general, and pray him to execute their decree. The deputies from the other ftates, conceiving that by this expedient their refpedlive conftituents would be free from any farther trouble or expence, came into it at once ; whereupon a decree w’as immediately drawn up, purporting that ambaffadors fhould be fent to Philip of Macedon, in the name of Apollo and the Amphic- tyons, once more to require his affiftance, and to no¬ tify to him, that the ftates of Greece had unanimoufly chofen him their general, with full power to a£l as he thought fit againft fuch as had oppofed the authority ^ of the Amphi&yons. Thus of a fudden Philip ac-isehofen quired all that he fought; and having an army readyseneralby in expectation of this event, he immediately marched ^ Am' to execute the commands of the AmphiClyons in ap-phlflyons‘ pearance, but in reality to accompliffi his own de- figns : For having palled into Greece with his army, inftead of attacking the Locrians, he feized immedi¬ ately upon Elatea, a great city of Phocis upon the river Cephifus. 'I he Athenians in the mean time were in the utooft Is 0 ^ ^ confufion on the news of Philip’s march. However, b> the l- by the advice of Demofthenes, they invited the The -thenians bans to join them againft the common enemy of Greece.fcnc* Philip endeavoured as much as poffible to prevent thisb,ins; confederacy from taking place ; but all his efforts pro¬ ved ineffeClual. The Athenians raifed an army, which marched immediately to Eleufis, where they were join¬ ed by the dhebans. The confederates made the belt appearance that had ever been feen in Greece, and the troops were exceedingly good ; but unfortunately the generals were men of no conduft or fkill in the mili- tary art. An engagement enfued at Cheronaea ; where-whom he in Alexander commanded one wing of the Macedonian defeats at army, and his father Philip the other. The confede- rate army was divided according to the different na¬ tions of which it confifted ; the Athenians having the right and the Boeotians the left. In the beginning of the battle the confederates had the better; where- . . upon Ma«ie Ihe- ria. T. he .Thebans, on this news, feized Amyntas and bans revolt. Timolaus, two eminent officers in the Macedonian gar- rifon which held their citadel, and dragged them to the market-place, where they were put to death without either form or procefs, or any crime alleged againft them. Alexander, however, did not fuffer them to remain jong in their miftake. He marched with fuch expedition, that in feven days he reached Pallene in Eheffaly; and in fix days more he entered Bceotia, before the Thebans had any intelligence of his paffing the ftraits of Thermopylae. Even then they would not believe that the king was alive ; but infifted that the Macedonian army was commanded by Antipater, or by one Alexander the fon of iEropus. The reft of the Greeks, however, were not fo hard of belief j and therefore Tent no affiftance to the Thebans, who were thus obliged to bear the confequences of their own folly and obftinacy. The city w'as taken by ftorm, and the inhabitants were for fome hours maffacred with¬ out diftin&ion of age or fex ; after which the houfes were demoliffied, all except that of Pindar the famous poet, which was fpared out.of refpeft to the merit of its owner, and becaufe he had celebrated Alexander king of Macedon. The lands, excepting thofe deftin- ed to religious ufes, were ffiared among the foldiers, 1 and all the prifoners fold for flaves j by which 440 ta- Maceden, lents were brought into the king’s treafury. pwj By this feverity the reft of the Grecian ftates were fo thoroughly humbled, that they thought no more of making any refiftance, and Alexander had nothing fur- t nHT* t’o hirwiPt* Iiiyyi IV. l_ • o n • ■* on the news of his death. 74 Thebes1 taken and deftrojed. mg Afia. Very little preparation was neceffary for the Macedonian monarch, who went out as to an af- fured conqueft, and reckoned upon being fupplied only by the fpoils of his enemies. Hiftorians are not agreed as to the number of his army : Arrian fays, that there r were 30,000 foot and 5000 horfe. Diodorus Siculus the ^rmyi tells us, that there were 13,000 Macedonian foot, 7000 whh which! of the confederate ftates, and 5000 mercenaries. Thefe he ‘nva^eti were under the command of Parmenio. Of the Odri-Afia‘ fians, Triballians, and Illyrians, there were 5000 j and of the Agrians, who were armed only with darts, 1000. As for the horfe, he tells us there were 1800 com¬ manded by Philotas, and as many Theflalians under the command of Callas : out of the confederate ftates of Greece, were 600 commanded by Eurygius ; and 900 Thracians and Paeonians, who led the van under Caf- fander. Plutarch tells us, that, according to a low computation, he had 30,000 foot and 5000 horfe j and, according to the largeft reckoning, he had 34,000 foot and 4000 horfe. As to his fund for the pay¬ ment of the army, Ariftobulus fays it was but 70 ta¬ lents ; and Oneficritus, who was alfo in this expedition, not only takes away the 70 talents, but affirms that the king was 200 in debt. As for provifions, there ■was juft fufficient for a month and no more j and to prevent difturbances, Antipater was left in Macedon with 12,000 foot and 1500 horfe. The army having affembled at Amphipolis, he Sets on marched from thence to the mouths of the river Stry-his expedi- i mon ; then crofting Mount Pangseus, he took the roadtion’ to Abdera. Crofting the river Ebrus, he proceeded through the country of Paetis, and in 20 days reached S eft os $ thence he came to Eleus, where he facrificed on the tomb of Protefilaus, becaufe he was the firll among the Greeks who at the fiege of Troy fet foot on the Afiatic (here. He did this, that his landing might be more propitious than that of the hero to whom he facrificed, who was flain foon after. The greateft part of the army, under the command of Par¬ menio, embarked at Seftos, on board a fleet of 160 galleys of three benches of oars, befides fmall craft. Alexander himfelf failed from Eleus ; and when he was in the middle of the Hellefpont, offered a bull to Neptune and the Nereids, pouring forth at the fame time a libation from a golden cup. When he drew near the fhore, he launched a javelin, which ftuck in the earth : then, in complete armour, he leaped upon the ftrand ; and having eroded altars to Jupiter, Mi¬ nerva, and Hercules, he proceeded to Ilium. Here again he facrifked to Minerva j and taking down fome arms which had hung in the temple of that goddels fince the time of the Trojan war, confecrated his own in their ftead. He facrificed alfo to the ghoft of Priam, to avert his wrath on account of the defeent which he himfelf claimed from Achilles. In the mean time the Perfians had affembled a great army in Phrygia ; among whom was one Memnon a Rhodian, the beft officer in the fervice of Darius. A- lexandejf, MAG [ 3°9 ] MAC 77 4 ifequen. of his ,j,Cedon. lexander, as foon as he had performed all the ceremo- -y"”—* nies which he judged neceflary, marched direftly to¬ wards the enemy. Memnon gave it as his opinion, that they fhould burn and deftroy all the country round, that they might deprive the Greeks of the means of fubfifting, and then tranfport a part of their army into Macedon. But the Perfians, depending on their cavalry, reje61ed this falutary advice j and pofted them- felves along the river Granicus, in order to wait the arrival of Alexander. In the engagement which hap¬ pened on the banks of that river, the Perfians were •i'.zGra- defeated*, and Alexander became mailer of all the i is. neighbouring country; which he immediately began to take care of, as if it had been part of his hereditary dominions. The city of Sardis w'as immediately de¬ livered up j and here Alexander built a temple to Ju- vidtory.pjter Olympius. After this, he reftored the Ephefians to their liberty j ordered the tribute which they for¬ merly paid to the Perfians to be applied towards the rebuilding the magnificent temple of Diana: and having fettled the affairs of the city, marched againll Miletus. This place was defended by Memnon with a confiderable body of troops who had fled thither af¬ ter the battle of Granicus, and therefore made a vigo¬ rous refiftance. 'The fortune of Alexander, however, prevailed ; and the city was foon reduced, though Memnon with part of the troops efcaped to Halicar- naffus. After this, the king difmiffed his fleet, for which various reafons have been affigned j though it is probable, that the chief one was to fhow his army that their only refource now was in fubverting the Per- fian empire. Almoft all the cities between Miletus and Halicar- naffus fubmitted as foon as they heard that the former was taken ; but Halicarnaffus, where Memnon com¬ manded with a very numerous garrifon, made an oblfi- nate defence. Nothing, however, was able to refill the Macedonian army. Memnon was at lall obliged to abandon the place ; upon which Alexander took and razed the city of Tralles in Phrygia j received the fubmillion of feveral princes tributary to the Perfians j and having dellroyed the Marmarians, a people of Ly- cia who had fallen upon the rear of his army, put an end to the campaign •, after which he fent home all the new married men ; in obedience, it would feem, to a precept of the Mofaic law, and which endeared him more to his foldiers than any other aflion of his life. As foon as the feafon would permit, Alexander quitted the province of Phafelus ; and having fent part of his army through the mountainous country to Perga, by a Ihort but difficult road, took his route by a certain promontory, where the way is altogether im- paffable, except when the north winds blow. At the time of the king’s march the fouth wind had held for a long time; but of a hidden it changed, and blew from the north fo violently, that, as he and his followers declared, they obtained a fafeand eafy paffage through the Divine affiftance. By many this march is held to be miraculous, and compared to that of the children of Ifrael through the Red fea ; while, on the other hand, it is the opinion of others, that there was no¬ thing at all extraordinary in it. lie continued his march towards Gordium, a city of Phrygia 5 the ene¬ my having abandoned the ftrong pafs of T'-imiffus, through which it was neceffary for him to march. Macedon.^ When he arrived at Gordium, and found himfelf un- ^ der a neceffity of flaying fame time there till the fe¬ veral corps of his army could be united, he expreffed a ftrong defire of feeing Gordius’s chariot, and the fa¬ mous knot in the harnefs, of which fuch ftrange ftories had been publiffied to the world. The cord in which this knot was tied, was made of the inner rind of the cornel tree; and no eye could perceive where it had begun or ended. Alexander, when he could find Untits the no poffible way of untying, and yet was unwilling Gordian to leave it tied left it thould caufe fome fears in theknot* breafts of his foldiers, is faid by fome authors to have cut the cords with his fword, faying, “ It matters not how it is undone.” But Ariftobulus affures us, that the king wrefted a wooden pin out of the beam of the waggon, which, being driven in acrofs the beam, held it up $ and fo took the yoke from under it. Be this as it will, however, Arrian informs us, that a great tempeft of thunder, lightning, and rain, happening the fucceeding night, it was held declarative of the true folution of this knot, and that Alexander flrould be¬ come lord of Afia. The king having left Gordium, marched towards Cilicia j where he was attended with his ufual good fortune, the Perfians abandoning all the ftrong paffes as he advanced. As foon as he entered the province, he received advice that Arfames, whom Darius had made governor of Tarfus, was about to abandon it, and that the inhabitants were very apprehenfive that he intended to plunder them before he withdrew. To prevent this, the king marched inceffantly, and arrived ^ juft in time to fave the city. But his faving it had His ficknefs well nigh coft him his life: for, either through thean^rec0“ exceffive fatigue of marching, as fome fay, or, accord- ing to others, by his plunging when very hot into the river Cydnus, which, as it runs through thick Ihades, has its waters exceffively cold, he fell into fuch a diftem- per as threatened his immediate diffolution. His army loft their fpirits immediately j the generals knew not what to do j and his phyficians were fo much affrighted, that the terror of his death hindered them from ufing the neceffary methods for preferving his life. Philip the Acarnanian alone preferved temper enough to exa¬ mine the nature of the king’s difeafe $ the w'orft fymp- tom of which W'as a continual waking, and which he took off by means of a potion, and in a Ihort time the king recovered his ufual health. Soon after Alexander’s recovery, he received the agreeable new's that Ptolemy and Afander had defeated the Perfian generals, and made great conquefts on the Hellefpont; a little after that, he met the Perfian army at Iffus, commanded by Darius himfelf. A bloody engagement enfued, in which the Perfians were de¬ feated with great daughter, as related under the article Issus. The confequences of this viftory were very advantageous to the Macedonians. Many governors of provinces and petty princes fubmitted themftlves to the conqueror j and fuch as did fo were treated, not as a newly conquered people, but as his old hereditary fubjefts; being neither burdened with foldiers nor oppreffed with tribute. Among the number of thnfe places which, within a ffiort fpace after the battle of Iffus, fent deputies to fubmit to the conqueror, was the city of Tyre. The king, whole name was Azel- reicus, Maredon. So Tyre taken and de- ftroyed. Sr Egypt fub- ants. Sa Alexander vifits the temple of Jupiter Ammon. MAC miens, was abfent in the Perfian fleet j but his fon was among the deputies, and was very favourably received by Alexander. The king probably intended to confer particular honours on the city of Tyre ; for he ac¬ quainted the inhabitants that he would come and fa- crifice to the lyrian Hercules, the patron of their city, to whom they had ere&ed a moft magnificent temple. But thefe people, like moft other trading nations, were too fufpicious to think of admitting uch an enterprifing prince with his troops within tneir walls. . T hey fent therefore their deputies again to him, to inform him, that they were ready to do whatever he fhould command them ; but, as to his coming and facrificing in their city, they could not confent to that, but were pofitively determined not to admit a fingle Macedonian within their gates. Alex¬ ander immediately difmiffed their deputies in great dif- pleafure. He then aflembled a council of war, wherein he infifted ftrongly on the difaffefted ftate of Greece (for moft of the Grecian ftates had fent ambaffadors to Darius, to enter into a league with him againft the Macedonians), the power of the Perfians by fea, and the folly or carrying on the war in diftant provinces, while Tyre was left unreduced behind them : he alfo remarked, that if once this city was fubdued, the fo- vereignty of the fea would be transferred to them, be- caufe it would fix their poffeflion of the coafts; and as the Perfian fleet was compofed chiefly of tributary fquadrons, thofe tributaries would fight the battles, not of their late, but of their prefent mafters. For thefe reafons the liege of Tyre was refolved on. The towm was not taken, however, without great difficulty • which provoked Alexander to fuch a degree, that he treated the inhabitants with the greateft cruelty. See Tyre. After the reduction of Tyre, Alexander, though the feafon was already far advanced, refolved to make an expedition into Syria; and in his way thither propofed to chaftife the Jews, who had highly offended him du¬ ring the fiege of Tyre : for when he fent to them to de¬ mand provifions for his foldiers, they anfwered, That they were the fubje&s of Darius, and bound by oath not. to fupply his enemies. The king, however, was pacmed by their fubmiffion 5 and not only pardoned them, but conferred many privileges upon them, as re¬ lated under the article Jews. From Jerufalem Alexander marched dire&ly to Gaza, the only place in that part of the world uhich ftill held out for Darius. This was a very large and ftrong city, fituated on a high hill, about five miles from the fea-ffiore. One Batis or Beds, an eunuch, had the government of the place ; and had made every preparation neceffary for fuftaining a long and obfti- nate fiege. The governor defended the place with great valour, and feveral times repulfed his enemies $ but at laid it was taken by ftorm, and all the gar- nfon flain to a man j and this fecured to Alexander an entrance into Egypt, which having before been very im¬ patient of the Perfian yoke, admitted the Macedonians peaceably. Here the king laid the foundations of the city of Alexandria, which for many years after continued to be the capital of the country. While he remained here, he alfo formed the extraordinary defign of vifit- ing the temple of Jupiter Ammon. As to the mo- 3 10] MAC lives by which he was induced to take this extraordi- Mated] nary journey, authors are not agreed 5 but certain it,1—v- is, that he hazarded himfelf and his troops in the high- eft degree ; there being two dangers in this march which, with the example of Cambyfes, who loft the greateft part of his army in it, might have terrified ary body but Alexander. The firft was the want of water which, in the fandy deferts furrounding the temple, is nowhere to be found j the other, the uncertainty of the road from the fluauation of the fands; which chan¬ ging their fituation every moment, leave the traveller neither a road to walk in nor mark to march by. Thefe difficulties, however, Alexander got over j though not without a miraculous interpofition, as is pretended by all his hiftorians. ^ Alexander having confulted the oracle, and received a favourable anfw'er, returned to pUrfue his conquefts. Having fettled the government of Egypt, he appointed the general rendezvous of his forces at Tyre. Here he met with ambafladors from Athens, requefting him to pardon fuch of their countrymen as he found fervinp- the enemy. The king, being defirous to oblige fuch a famous ftate, granted their requeft ; and fent alfo a ffeet to the coaft of Greece, to prevent the effetfs of fome commotions which had lately happened in Peloponnefus. He then direfted his march to Thapfacus; and having puffed the Euphrates and ligris, met with Darius near Arbela, where the Perfians were again overthrown with prodigious daughter f, and Alexander in eft'edl became ' See mafter of the Perfian empire. After this important victory, Alexander marched di- Re(]^s I reftly to .Babylon, which was immediately delivered Babylon, up j the inhabitants being greatly difaffeffed to the Sub, &<11 Perfian intereft. After 30 days flay in this country, Perlepolis‘| the king marched to Sufa, which had already furren- dered to Philoxenus j and here he received the trea- fures of the Perfian monarch, amounting, according to the moft. generally received account, to 50,000 ta¬ lents. Having received alfo at this time a fupply of 60co foot and 500 horfe from Macedon, he fet" about reducing the nations of Media, among whom Darius v'as retired. He firft reduced the Uxians, and having forced a paffage to Perfepolis the capital of the empire, he like a barbarian deftroyed the ftateiy palace there’ a pile of building not to be equalled in any part of the world $ after having given up the city to be plundered by .his foldiers. In the palace he found 120,000 talents which he appropriated to his own ufe, and caufed im¬ mediately to be carried away upon mules and camels ; for he had fuch an extreme averfion to the inhabitants of Perfepolis, that he determined to leave nothing va¬ luable in the city. During the time that Alexander remained at Per¬ fepolis, he received intelligence that Darius remained at Ecbatana the capital of Media $ upon which he purfued him with the greateft expedition, marching He pU4rfucs at the rate of near 40 miles a-day. In 15 days heDanus; reached Ecbatana, where he was informed that Da¬ rius had retired from thence five days before, with an intent to pafs into the remoteft provinces of his em- pire* This put fome flop to the rapid progrefs of the Macedonian army ; and the king, perceiving that there was no neceflity for hurrying himfelf and his foldiers in iuch a manner, began to give the orders requifite in the prefent fituation of his affairs. The Theffalian horfe, MAC [ 3 II re Jon. horfe, who had deferved exceedingly well of him in all w r--" his battles, he difmiffed according to his agreement j gave them their whole pay, and ordered 2000 talents over and above to be diftributed among them. He then declared that he would force no man : but if any were willing to ferve him longer for pay, he de- fired they would enter their names in a book, which a great many of them did ; the reft fold their horfes, and prepared for their departure. The king appointed Epocillus to conduct them to the fea, and afligned him a body of horfe as an efcort: he likewdfe fent Menetes with them, to take care of their embarkation, and that they were fafely landed in Euboea without any expence to themfelves. On receiving frefli information concerning the ftate of Darius’s affairs, the king fet out again in purfuit of him, advancing as far as Phages, a city one day’s journey from the Cafpian ftraits: there he underftood that Darius had paffed thofe ftraits fome time before ; which information leaving him again without hopes, he halted for five days. Oxidates, a Perfian whom Da¬ rius had left prifoner at Sufa, was made governor of Media, while the king departed on an expedition into Parthia. The Cafpian ftraits he paffed immediately without oppofition j and then gave directions to his of¬ ficers to colleCt a quantity of provifions fufficient to ■ ;£ ferve his army on a long march through a wrafted coun- w is try. But before his officers could accomplifh thofe in ered. commands, the king received intelligence that Darius had been murdered by Beffus, one of his owm fubjeCts, and governor of BaCtria, as is related at length under IS the article Persia. Ajinder As focm as Alexander had colleCted his forces to- rejes gether, and fettled the government of Parthia, he piUnia. entered Hyrcania $ and having, according to his ufual cuftom, committed the greateft part of his army to the care of Craterus, he, at the head of a choice body of troops, paffed through certain craggy roads, and before the arrival of Craterus, who took an open and eafy path, ftruck the whole provinces with fuch terror, that all the principal places were immediately put into his hands, and foon after the province of Aria alfo fubmitted, and the king continued Satibarzanes the governor in his employment.—The reduCHon of this province finiflied the conqueft of Perfia j but the ambition of Alexander to become mafter of every na¬ tion of which he had the leaft intelligence, induced him to enter the country of the Mardi, merely be- caufe its rocks and barrennefs had hitherto hindered any body from conquering, or indeed from attempt¬ ing to conquer it. This conqueft, how'ever, he eafily accomplirhed, and obliged the whole nation to fub- mit to his pleafure. But in the mean time difturbances ■ began to arife in Alexander’s new empire, and among his troops, which all his activity could not thorough¬ ly fupprefs. He had fcarcely left the province of Aria, when he received intelligence, that the traitor Beffus had caufed himfelf to be proclaimed king of Alia by the name of /frtarerxes; and that Satibarzanes had joined him, after having maffacred all the Macedonians who had been left in the province. Alexander ap¬ pointed one Arfames governor in the room of Satibar¬ zanes ; and marched thence with his army againft the '/.aranga, who, under the command of Barzaentes, one of thofe who had confpired againft Darius, had taken up 11 ] MAC arms, and threatened to make an obftinate defence. Macedon. But their numbers daily falling off, Barzaentes being v * afraid they would purchafe their own fafety at the ex¬ pence of his, privately withdrew' from his camp, and, crofting the river Indus, fought flielter among the na¬ tions beyond it. But they, either dreading the power of Alexander, or detefting the treachery of this Perfian towards his former mafter, feized and delivered him up to Alexander, who caufed him immediately to be put to death. g7 The immenfe treafure which the Macedonians had The Ma- acquired in the conqueft of Perfia began now to Cor-ce^on'ans rupt them. The king himfelf was of a moft generous^'^5Vo difpofition, and liberally beftowed his gifts on thofejuxury. around him ; but they made a bad ufe of his bounty, and fooliftily indulged in thofe vices by which the for¬ mer poffeffors of that wealth had loft it. The king did all in his pow-er to difeourage the lazy and inactive pride wEich now began to (how itfelf among his of¬ ficers j but neither his difeourfes nor his example had any confiderable effedt. The manners of his courtiers from bad became worfe, in fpite of all he could fay or do to prevent it j and at laft they proceeded to cenfure his condudl, and to exprefs themfelves with fome bitternefs on the fubjedt of his long continuance of the w'ar, and his leading them conftantly from one labour to another. This came to fuch a height, that the king was at laft obliged to ufe fome feverity, in or¬ der to keep his army within the limits of their duty. ss From this time forward, how-ever, Alexander himlelf Alexander began to alter his con dud! ; and by giving a little in-conr°rnis to the cuftoms of the Orientals, endeavoured to feA° l^e ^er" cure that obedience from his new fubjedls which he^s ~ found fo difficult to be preferved among his old ones. He likewife endeavoured, by various methods, to blend the cuftoms of the Afiatics and the Greeks. The form of his civil government refembled that of the ancient Perfian kings •, in the military affairs, how¬ ever, he preferved the Macedonian difeipline 5 but then he made choice of 30,000 boys out of the pro¬ vinces, whom he caufed to be inftrudted in the Greek language, and diredled to be brought up in fuch a manner as that from time to time he might with them fill up the phalanx. The Macedonians faw with great concern thefe extraordinary meafures, which iuited. very ill with their grofs underftandings ; for they thought, after all the vidlories they had gained, to be abfolute lords of Afia, and to poffefs not only the riches of its inhabitants, but to rule the inhabitants them¬ felves : whereas they now faw, that Alexander meant no fuch thing •, but that, on the contrary, he con¬ ferred governments, offices at court, and all other marks of confidence and favour, indiferiminately both on Greeks and Perfians.—From this time alfio the king feems to have given inftances of a cruelty he had never ffiown before. Philotas his moft intimate friend was feized, tortured, and put to death for a confpiracy of which it could never be proved that he was guilty 5 and foon after Parmenio and fome others were executed without any crime at all real or al¬ leged. Thefe things very much difturbed the army. Some of them wrote home to Macedon of the king’s fufpicions of his friends, and his difpofition to hunt out enemies at the very extremities of the world. A- lexander having intercepted fome of thefe letters, and procured MAG [ 3 , Maoejon- procured the bed information he could concerning "v™ their authors, picked out thefe diffatisfied people, and having difpofed them into a corps, gave it the title of the turbulent battalion; hoping by this means to prevent the fpirit of difaffe&ion from pervading the whole army. As a farther precaution againfl any future confpira- cy, Alexander thought fit to appoint Hephsefiion and Clytus generals of the auxiliary horfe i being appre- henfive, that if this authority was lodged in the hands of a fingle perfon, it might prompt him to dangerous undertakings, and at the fame time furnifh him with the means of carrying them into execution. To keep his forces in a&ion, he fuddenly marched into the coun¬ try of the Euergetae, i. e. Benefaclors; and found them full of that kind and holpitable difpofition for which that name had been bellowed on their anceftors : he therefore treated them with great refpedl ; and at his departure added fome lands to their dominions, which lay contiguous, and which for that reafon they had re¬ quelled of him. Turning then to the eall, he entered Arachofia, the inhabitants of which fubmitted without giving him any trouble. While he palled the winter in thefe parts, the king received advice, that the Arians, whom he had fo lately fubdued, were again up in arms, Sati- barzanes being returned into that country with two thoufand horfe affigned him by Beffus. Alexander in- fiantly defpatched Artabazus the Perlian, with Erigyus and Caranus, two of his commanders, with a confi- derable body of horfe and foot; he likewife ordered 89 Phrataphernes, to whom he had given the govern- Satibarza- ment of Parthia, to accompany them. A general lies defeat- engagement enfued, wherein the Arians behaved very led.and kl1” We^> as lonS as commander Satibarzanes lived ; biit he engaging Erigyus, the Macedonian ftruck him firll into the throat, and then, drawing forth his fpear again, through the mouth ; fo that he im¬ mediately expired, and with him the courage of his foldiers, who inftantly began to fly; whereupon Alex¬ ander’s commanders made an eafy conquelt of the reft of the country, and fettled it effedlually under his obe¬ dience. The king, notwithftanding the inclemency of the feafon, advanced into the country of Paropamifus, fo called from the mountain Paropamifus, which the fol¬ diers of Alexander called Caucafus. Having crofted the country in 16 days, he came at length to an open¬ ing leading into Media ; which finding of a fufficient breadth, he direfted a city to be built there, which he called Alexandria, as alfo feveral other towns about a day’s journey diftant from thence : and in thefe places he left 7000 perfons, part of them fuch as had hitherto followed his camp, and part of the mercenary foldiers, who, weary of continual fatigue, were con¬ tent to dwell there. Having thus fettled things in this province, facrificed folemnly to the gods, and ap¬ pointed Proexes the Perfian prefident thereof with a fmall body of troops under the command of Niloxenus to aflift him, he refumed his former defign of penetrat¬ ing into Badlria. > Beflus, who had aflumed the title of Artaxerxes, when he was aflured that Alexander was marching towards him, immediately began towafle all the coun¬ try between Paropamifus and the river Oxus j which 12 ] MAC river hi? pani-dwith all hid forces, and then burnt all MattdJ 90 Beflus re¬ duced and put to d«ath. the yeffels he had made ufe of for tranfporting them » tetning to Nautaca, a city of Sogdia ; fully perfuad- ed, that, by the precautions he had taken, Alexander would be compelled to give over his purfuit. This conduct of his, however, diftieartened his troops, and gave the lie to all his pretenfions 5 for he had aflfe&ed to cenfure Darius’s condua, and had charged him wnh cowardice, in not defending the rivers Euphrates and Tigris, whereas he now quitted the banks of the moft defenfible river perhaps in the whole world. As to his hopes, though it cannot be faid they were ill founded, yet they proved abfolutely vain 5 for Alexan¬ der, continuing his march, notwithftanding all the hard- flnps his foldiers fuftained, reduced all Badria under his obedience, particularly the capital Ba&ria and the ftrong caftle Aornus: in the lat^r he placed a garrifon under the command of Archelaus 5 but the government of the province he committed to Artabazus. He then continued his march to the river Oxus: on the banks of which, when he arrived, he found it three quarters of a mile over, its depth more than proportionable to its breadth, its bottom fandy, its ftream fo rapid as to render it almoft unnavigable, and neither boat nor tree in its neighbourhood ; fo that the ableft commanders in the Macedonian army were of opinion that they fliould be obliged to march back. The king, however, having firft fent away, under a proper efcort, all his’ infirm and worn-out foldiers, that they might be con¬ duced fafe to the fea-ports, and from thence to Greece, devifed a method of palling this river without either boat or bridge, by caufing the hides which covered the foldiers tents and carriages to be Huffed with ftraw, and then tied together, and thrown into the river. Having crofted the Oxus, he marched direCly towards the camp of Beffus, where, when he arrived, he found it abandon¬ ed j but received at the fame time letters from Spita- menes and Dataphernes, who were the chief comman¬ ders under Beffus, fignifying, that, if he would fend a fmall party to receive Beffus, they would deliver him into his hands 5 which they did accordingly, and the traitor was put to death in the manner related in the hiftory of Persia. A fupply of horfes being now arrived, the Mace¬ donian cavalry were remounted. Alexander continued his march to Maracanda the capital of Sogdia, from whence he advanced to the river laxartes. Here he performed great exploits againft the Scythians 5 from whom, however, though he overcame them, his army fuffered much 5 and the revolted Sogdians being headed gI by Spitamenes, gave him a great deal of trouble. Here Alexander he married Roxana the daughter of Oxyartes, a prince marries of the country whom he had fubdued. But duringRoxaua- thefe expeditions, the king greatly difgufted his army by the murder of his friend Clytus in a drunken quarrel at a banquet, and by his extravagant vanity in claiming divine honours. . A1 he arrived at the river Indus, where Hephte- Paff^ke ftion and Perdiccas had already provided a bridge of Indus, boats for the paffage of the army. The king refrefhed his troops for 30 days in the countries on the other fide of the river, which were thofe of his friend and ally Taxiles, who gave him 30 elephants, and joined his ar¬ my now with yco Indian horfe, to which, when they were to enter upon adlion, he afterwards added 5000 foot, 9.5 .ml the lydafpes ith diffi. ilty. MAC [ 3 Macedon. foot. The true reafon of this feeras to have been his —-v—- enmity to Porus, a famous Indian prince whofe terri¬ tories lay on the other fide of the river Hydafpes. During this recefs, the king facrificed with great fo- lemnity j receiving alfo ambafladors from Ambifurus, a very potent prince, and from Doxareas, who was likewife a king in thofe parts, with tenders of their duty, and confiderable prefents. Thefe ceremonies over, Alexander appointed Philip governor of Taxila, and put a Macedonian garrifon into the place, becaufe he intended to ereft an hofpital there for the cure of his fick and wounded foldiers. He then ordered the vef- fels, of which his bridge had been compofed when he paffed the Indus, to be taken to pieces, that they might be brought to the Hydafpes, where he was informed that Porus with a great army lay encamped to hinder his paffage. When he approached the banks of this river with his army and the auxiliaries under the command of Taxiles, he found that the people he had to do with were not fo eafily to be fubdued as the Perfians and other Afiatics. The Indians were not only a very tall and robuft, but alfo a very hardy and well difciplined people *, and their king Porus was a prince of high fpirit, invincible courage, and great conduft. It was about the fummer folftice when Alexander reached the Hydafpes, and confequently its waters were broader, deeper, and more rapid, than at any other time j for in India the rivers fwell as the fun’s increafing heat melts the fnow, and fubfide again as winter approaches. Alexander therefore had every dif¬ ficulty to ftruggle with. Porus had made his difpofi- tions fo judicioufly, that Alexander found it impolfible to praftife upon him as he had done upon others, and to pafs the river in this view : wherefore he was con- ftrained to divide his army into fmall parties, and to pra&ife other arts, in order to get the better of fo vi¬ gilant a prince. To this end he caufed a great quan¬ tity of corn and other provifions to be brought into his camp *, giving out, that he intended to remain where he was till the river fell, and by becoming fordable fliould give him an opportunity of forcing a palfage : this did not, however, hinder Porus from keeping up very ftrift difcipline in his camp *, which when Alex¬ ander perceived, he frequently made fuch motions as feemed to indicate a change of his refolution, and that he had ftill thoughts of palling the river. The main thing the Macedonians flood in fear of were the ele¬ phants ; for the bank being pretty fteep on the other fide, and it being the nature of horfes to ftart at the firft appearance of thiofe animals, it wras forefeen that the army would be difordered, and incapable of fuflaining the charge of Porus’s troops. At length Alexander palled the river by the followr- ing contrivance. There wras, at the diftance of 150 ftadia from his camp, a rocky promontory projecting into the river, thick covered with wood j and over- againft this promontory there lay a pretty large unin¬ habited ifland almoft overgrown with trees. The king therefore conceived within himfelf a projeCl of convey¬ ing a body of troops from this promontory into that ifland j and upon this fcheme he built his hopes of fur- prifing Porus, vigilant as he w as. To this end he kept him and his army conftantly alarmed for many nights together, till he perceived that Porus apprehended it was only done to harafs his troops, and therefore no Vol. XII. Part I. 13 ] MAG longer drew out of his camp, but trufted to his ordi- Macedoa. nary guards : then Alexander refolved to put his defign ” v— in execution. A confiderable body of horfe, the Ma¬ cedonian phalanx, with fome corps of light-armed foot, he left in his camp under the command of Cra- terus, as alfo the auxiliary Indians, giving thefe orders, to be obferved in his abfence, that if Porus marched againft him with part of his army, and left another part with the elephants behind in his camp, Craterus and his forces Ihould remain where they were ; but if it fo happened that Porus withdrew his elephants, then Cra¬ terus was to pafs the river, becaufe his cavalry might then do it fafely. Alexander having marched half the wray, or about nine of our miles, ordered the merce¬ nary troops under the command of Attains and other generals, to remain there j and direfted them, that as foon as they knew he was engaged with the Indians on the other fide, they ftiould pafs in veffels provided for that purpofe, in order to afiift him. Then march¬ ing a long way about, that the enemy might not per¬ ceive his defign of reaching the rock, he advanced as diligently as he could towards that poll. It happened very fortunately for him, that a great fiorm of thun¬ der, lightning, and hail, rofe in the night, whereby his march was perfectly concealed, his veflels of 30 oars put together, and his tents fluffed and ftitched, fo that they paffed from the rock into the ifland, without being perceived, a little before break of day j the ftorm ceafing juft as he and his foldiers were ready for their paffage. When they had traverfed the ifland, they boldly fet forward to gain the oppofite fltore in fight of Porus’s outguards, w'ho inftantly polled away to give their mafter an account of the attempt. Alexander landed firft himfelf, and was followed as expeditioufly as poflible by his forces, whom he took care to draw up as fall as they arrived. When they began their march again, they found that their good fortune was not fo great as at firft they efteemed it ; for it appeared now, that they had not reached the continent at all, but were in truth in another ifland much larger than the former. They croffed it as fall as they could, and found that it was divided from the terra jirma by a narrow channel, which, however, was fo fwelled by the late heavy rain, that the poor foldiers were obliged tr> wade up to the breaft, When they were on the other fide, the king drew them up again carefully, ordering the foot to march flowly, they being in number about 6000, while himfelf with 5000 horfe advanced before. As foon as Porus received intelligence that Alexander was actually paffing the river, hefenthisfon with 2000 horfe and 120 armed chariots, to oppofe him. But they came too late : Alexander was already got on ftiore, and even on his march. When the Macedonian fcouts perceived them ad--j^g fon 0f vance, they informed the king, who fent a detachment Porus de- to attack them, remaining ftill at the head of his ca-feated and valry in expectation of Porus. But when he found ^‘Ikd. that this party was unfupported, he inftantly attack¬ ed with all his horfe, and defeated them with the flaughter of many, and the lofs of all their armed chariots, the fon of Porus being flain in the fight. The remainder of the horfe returning to the camp with this difaftrous account, Porus was in fome confufion : however, he took very quickly the belt and wifeft re- folutions his eircumftances would allow : which were, Hr to MAC' [3 JVlacedon. [0 leave a party of his army, with fotne of his ele- ' plights, to oppofe Crater us, who was nowr about to pafs the river alio j and, with the reft, to march againft Alexander and his forces, who were already palled. 1 his refolution once taken, he marched immediately out of his camp at the head of 4000 horfe, 30,000 foot, 303 chariots, and 200 elephants. He advanced as expeditioully as he could, till he came into a plain which was firm and fandy, where his chariots and ele¬ phants might aft to advantage: there he halted, that he might put his army sn order, knowing well that he need not go in qufcft of his enemy. Alexander foon came up with his horfe, but he did not charge Porus ; on ibe contrary, he halted, and put his troops in or¬ der, that they might be able to defend thtmielves in cate they were attacked. When he had waited feme time, his foot arrived ; whom he immediately furround- ed with his hosfe, that, after io fatiguing a march, thi y m.ght have time to cool and breathe themfelves, beture they were led to engage. Porus permitted all this, oecaufe ;t was not his intereft to hght, and be- caule he depended chiefly upon his order of battle, the elephants'eovering his foot, fo that the Macedonians could not charge them. j- Poms him- When Alexander had difpofed his fbot in proper lelf defeat- order, he placed his horfe on the wings ; and, obierv- ing that he was much fuperior in them to the enemy, and that the cavalry of Porus tvere eafy to be charged, he refolved to let the foot have as little (hare as poffible in the battle. To this end, having given the neceffary direclions to Ccenus who commanded them, he went him«tlf to the right, and with great fury fell upon the left wing of Porus. The difpute, though (hurt, was very bloody: the cavalry of Porus, though they fought gallantly, were quickly broken j and the foot being by this means uncovered, the Macedonians charged them. JBut the Indian horfe rallying, came up to *heir relief, yet wmre again defeated. By this time the archers had wounded many of the elephants, and killed moft of their riders, io that they did not prove lefs troublefome and dangerous to their own fide than to the Macedo¬ nians j whence a great confufion enfued : and Coenus, taking this opportunity, fell on with the troops under his command, and entirely defeated the Indian army. Porus hiuitelf behaved with the greateft intrepidity, and with the moft excellent conduft : he gave his or¬ ders and diredled every thing, as long as his troops retained their form ; and when they were broken, he retired from party to party as they made {lands, and continued fighting till every corps of Indians was put to the rout. In the mean time Craterus had pafted with the reft of the Macedonian army , and thefe, fal¬ ling upon the flying Indians, inereafed the {laughter of the day exeeffively, infomuch that 20,000 foot and 3000 horfe were killed, all the chariots were hacked to pieces, and the elephants not killed were taken j two of Porus’s fons fell here, as alfo moft of his officers of all ranks. As for Pcrus, Alexander gave ftridl directions that no injury might be done to his perfon: be even fent laxiles to perfuade him to furrender himfelf, and to affure him that he fhould be treated with all the kind- nefs and refpeCl imaginable ; but Porus, difdaining this advice from the mouth of an old enemy, threw a jave¬ lin at him, and. had killed him but for the quick turn [4 ] MAG of his horfe. Meroe the Indian, who was alfo in the Macedoo. fervice of Alexander, fucceeded better : he had been the ok* acquaintance of Porus \ and therefore when he entreated that prince to fpare his perfon, and to fubmit 5 himfelf to fortune and a generous viCtor, Porus fol-H« fubmiti lowed his advice ; and we may truly fiiy, that thecon-to Alexan. dition of this Indian king fullered nothing by the loftder* of the battle. Alexander immediately gave him his liberty, reftored him fhortly after to his kingdom, ts> which he annexed provinces almoft equal to it in va¬ lue. Neither was Alexander a lofer by his munifi¬ cence j for Porus remained his true friend and con- ftant ally. To perpetuate the memory of this viClory, Alex¬ ander ordered two cities to be eroded j one on the field of battle, w hich he named Nic&a; the other on this fide the river, which he called Bucephala, in ho¬ nour of his horfe Bucephalus, who died here, as Ar¬ rian fays, of mere old age, being on the verge of 30. Ail the foldiers who fell in the battle, he buried with great honours j offered folemn faerifices to the gods, and exhibited pompous {hows on the banks of the Hydafpes, where he had forced his paffage. He then entered the territories of the Glaufse, in which wero 37 cities, and a multitude of populous villa¬ ges. Ajl thefe were delivered up to him without fight¬ ing ; and as foon as he received them, he prefented them to Porus; and having reconciled him to Taxiles, he ient the latter home to his own dominions. About this time ambaffadors arrived from fome Indian princes with their fubmiflions: and Alexander having con¬ quered the dominions of another Porus, which lay oil the Hydraotes, a branch of the Indus, added them to thofe of Porus his ally. In the middle of all this fuccefs, however, news arrived, that the Cathei, the Oxydracm, and the Malli, the moft warlike nations of India, W'ere confederated againft the Macedonians, and had drawn together a great army. .1 he king immediately march, f to give them battle j and in a few days reached a city called Sangala, feated on the top of a hill, and having a fine lake behind it. Before this city the confederate Sandal* Indians lay encamped, having three circular lines of taken, carriages locked together, and their tents pitched in the centre. Notwithftanding the apparent difficulty of forcing thefe intrenchments, Alexander refolved im¬ mediately to attack them. The Indians made a noble defence j but at laft the firft line of their carriages was broken, and the Macedonians entered. The fecond was ftronger by far j yet Alexander attacked that too, and alter a defperate refiftance forced it. 1 hs Indians, without trufting to the third, retired into the city ; which Alexander would have invefted : but the foot he had with him not being fufficient for that purpofe, he caufed his woiks to be carried on both fides as far as the lake j and, on the other fide of that, ordered feveral brigades of horfe to take poll: ; order¬ ing alfo battering engines to be brought up, and in fome places employing miners. The iecond night, he received intelligence that the befieged, knowing the lake to be fordable, intended to make their efcape through it. Upon this the king ordered all the car- rigges which had been taken in forcing their camp to be placed up and down the roads, in hopes of hinder¬ ing their flight) giving dire&ions to Ptolemy, who commanded M AC [ 3 Ijyiacedon. commanded the horfe on the other fide of the lake, to —•V““ be extremely vigilant, and to caufe all his trumpets to found, that the forces might repair to that poll: where the Indians made their greateft effort. Thefe pre¬ cautions had all the effect that could be defired for of the few Indians who got through the lake, and palled the Macedonian horfe, the greater part were killed on the roads-, but the greattft part of their army was conftrained to retire again through the water into the city. Two days after, the place was taken by ftorm. Seventeen thoufand Indians were killed ; 70,000 taken prifoners with 300 chariots, and 500 horfe. The Macedonians are laid to have loft only 100 men in this fiege j but they had 1 200 wounded, and among thefe feveral perfons of great diltinftion. The city was no fooner taken, than Alexander de- fpatched Eumenes his fecretary, with a party of horfe, to acquaint the inhabitants of the cities adjacent with what had befallen the Sangalans promifing allb, that they fhould be kindly treated if they would fubmit. But they were fo much affrighted at w hat had happened to their neighbours, that, abandoning all their cities, they fled into the mountains ; choofing rather to expofe themfelves to wild beafts, than to thefe invaders, who had treated their countrymen fo cruelly. When the king was informed of this, he fent'detachments of horfe and foot to fcour the roads and thefe, finding, aged, infirm, and wounded people, to the number of about 98 500, put them to the fword without mercy. Perceiv- nd razed, jng that it was impoflible to perfuade the inhabitants to return, he caufed the city of Sangala to be razed, and gave the territories to the few Indians who had fubmitted to him. Alexander, ftill unfated with conqueft, now pre¬ pared to pafs the! Hyphafis. The chief reafon which induced him to think of this expedition was, the in¬ formation he had received of the Hate of the countries beyond that river. He was told that they were in themfelves rich and fruitful 5 that their inhabitants were not only a very martial people, but very civilized j that they were governed by the nobility, who were themfelves fubjeft to the laws 5 and that as they lived in happinefs and freedom, it was likely they would light cbltinately in defence of thofe bleffings. He was farther told, that among thefe nations there were the largeft, ffrongeff, and moft ufeful elephants bred and tamed ; and was therefore fired wdth an earnefl delire to reduce fueh a bold and brave people under his rule, and of attaining to the pofleffion of the many valuable things that were Arid to be amongft them. As exorbitant, however, as his perfonal ambition was, he found it impoflible to infufe any part of it into the minds of his foldiers; who were fo far from w ifhing to triumph over new and remote countries, that they 99 w’ere highly defirous of leaving thofe that they had exander’salready conquered. When therefore they were in- ups re- formed 0f the king’s intentions, they privately con- 5d far-0* ^u^tec^ together in the camp about the fituation of it, their own affa’rs. At this confultation, the graveft and bell of the foldiers lamented that they were made ufe of by their king, not as lions, who fall fiercely upon thofe who have injured them ; but as maftiffs, who fly upon and tear thofe who are pointed out to them as enemies. The reft were not fo modeft j but 15] MAC expreffed themfelves roundly againft the king’s humour Macedon. for leading them from battle to battle, from liege to y“-“- liege, and from river to river j protefting that they would follow him no further, nor lavifti away their lives any longer, to purchafe fame for him. Alexander was a man of too much penetration not to be early in perceiving that his troops were very uneafy. He therefore harangued them from his tri¬ bunal ; but though bis eloquence was great, and the love his army had for him was yet very ftrong, they did not relent. For fome time the fuldiers remained fullen and lilent 5 and at laft turned their eyes on Cce- nus, an old and experienced general, whom Alexander loved, and in whom the army put great confidence.— He had the generofity to undertake their caufe 5 and told Alexander frankly, “ That men endured toil in hopes of repofe 5 that the Macedonians were already much reduced in their numbers j that of thofe w ho remained, the greater part were invalids j and that they expe&ed, in confideration of their former fer- vices, that he would now lead them back to their na¬ tive country : an a£l which, of all others, would moft contribute to his own great defigns 5 fince it would encourage the youth of Macedon, and even of all Greece, to follow' him in whatever new expedition he pleafed to undertake.” The king was far from being pleafed with this fpeech of Coenus, and much iefs with the difpofition of his army, which continued in a deep filence. He therefore difmiiTed the affembly: but next day he called another, wherein he told the fol¬ diers plainly, that he wmuld not be driven from bis purpofe } that he would proceed in his conquefts wfith fuch as fhould follow him voluntarily j as for the reft, he would not detain them, but would leave them at liberty to go home to Macedon, where they might publifh, “ that they had left their king in the midft of his enemies.” Even this expedient bad no fuccefs; his army was fo thoroughly tired with long marches and defperate battles, that they were determined to go no further, either for fair fpeeches or foul. Upon this Alexander retired to his tent, where he refufed to fee his friends, and put on the fame gloomy temper that reigned among his troops. For three days things remained in this fituation. At laft the king fuddenly appeared and, as if he had been fully determined to purfue his firft defign, he gave orders for facrificing for the good fuccefs of his new undertaking. Ari- ftander the augur reported, that the omens were al¬ together inaufpicious j upon which the king faid, that fince his proceeding farther w’as neither pleafing to the gods, nor grateful to his army, he would return. ico When this was rumoured among the army, they af- con- fembled in great numbers about the royal tent, falut-ta ing the king with loud acclamations, wifhing him fuccefs in all his future defigns j giving him at the fame time hearty thanks, for that “ be who was in¬ vincible had buffered himfelf to be overcome by their prayers.” A flop being thus put to the conquefts of Alexan¬ der, he determined to make the Hyphafis the boun¬ dary of his dominions; and having eredfed twelve altars of an extraordinary magnitude, he facrificed on them: after which he exhibited fhows in the Grecian manner and, having added all the conquered country in thefe parts to the dominions of Poru->, he R r 2 began mag [31 Having arrived at the Hydafpes, Macedon. began to return. he made the neceffary preparations for failing down the Indus into the ocean. For this purpofe, he or¬ dered vaft quantities of timber to be felled in the neighbourhood of the Hydafpes, through which he was to fail into the Indus ; he caufed the veffels with which he had paffed other rivers to be brought thi- s nei, and aflembled a vaft number of artificers capable of repairing and equipping his fleet ; which, when finiihed, confifted of 80 veffels of three banks of oars, and 2000 leiler (hips and tranfports. Thofe who were to manage this fleet were collefled out from the Phoe¬ nicians, Cyprians, Carians, and Egyptians following iiis army, and who were reckoned perfectly well Ikilled in the naval art. When all things were ready, the army embarked about break of day j the king, in the mean time, facriflcing to the gods according to the ceremonies ufed in his own country, and likewife ac¬ cording to thofe of the country where he now was. Fhen lie himfelf went on board j and caufing the fig- nal to be given by found of trumpet, the fleet fet fail. Craterus and Hephaeftipn had marched fome days be¬ fore with another divifion of the army j and in three days the fleet reached that part of the river which was oppofite to their camps. Here he had information, tnat the Oxydracae and IVIalli were railing forces to oppofe him ; upon which he immediately determined to reduce them ; for, during this voyage, he made it a rule to compel the inhabitants on both Tides of the river to yield him obedience. But before he arrived on the coafts of the people above mentioned, he him¬ felf fullained no fmall danger j for, coming to the confluence of the Acefines with the Hydafpes, from whence both rivers roll together into the Indus, the eddies, whirlpools, and rapid currents, rufhing with tremendous noife from the refpedtive channels of thofe livers into the great one formed by them both, at once terrified thofe who navigated his velfels, and ac¬ tually deftroyed many of the long veffels, with all who were aboard of them j the king himfelf being in fome danger, and Nearchus the admiral not a little at alofs. As foon as this danger was over, Alexander went on ihore ; and having ordered his elephants with fome troops of horfe and archers to be carried acrofs, and put under the command of Craterus, he then divided his army on the left hand bank into three bodies 5 the firft commanded liy himfelf, the fecond by Hephee- ftion, and the third by Ptolemy, Hephaeftion had orders to move filently through the heart of the coun¬ try, five days march before the king ; that if, on Alexander’s approach, any of the barbarians fhould attempt to flielter themfelves by retiring into the country, they might fall into the hands of Hephte- ftion. Ptolemy Lagus was ordered to march three days journey behind the king, that if any efcaped his army, they might fall into Ptolemy’s hands ; and the fleet had orders to flop at the confluence of this river with the Hydraotes till fuch time as thefe feveral corps ros fhould arrive. r Jfts expedi- Alexander himfelf, at the head of a body of horfe STSi hght ?rmed foot’ parched through a defert country agamfl the Malli ; and, fcarce affording any reft to his foldiers, arrived in three days at a city into which the barbarians had put their wives and children, with a good garrifon for their defence. The country 4 6 ] MAC people, having no notion that Alexander would march t nough fuch a defert and barren region, were all un- armed, and in the utmoft confufion. Many of them therefore were flain in the field j the reft fled into the city, and fhut the gates. But this only protraded their fate for a fhort Ume } for the king, having or¬ dered the city to be invefted by his cavalry, took it as well as the caftle, by ftorm, and put all he found there to the fword. He fent at the fame time Per- diccas with a confiderable detachment, to inveft an other city of the Malli at a confiderable diftance • but when he came there he found it abandoned. How¬ ever, he purfued the inhabitants, who had but lately Ar Ifc’ ,a.nd 1k,i!^ £reat numbers of them on the road. Alter this the king took feveral other cities, but not without confiderable refiftance 5 for the Indians fome- times chofe to burn themfelves in their houfes rather than furrender. At laft he marched to their capital city ^ and finding that abandoned, he proceeded to the river Hydraotes, where he found 50,000 men encamped on the oppofite bank, in order to difpute his paffage.. He did not hefitate, however, to enter the river with a confiderable party of horfe : and fo much were the Indians terrified at his prefcnce that their whole army retired before him. In a fliort time they returned and attacked him, being alhamed to fly before fuch an inconfiderable number; but in the mean time the reft of the Macedonian forces came up and the Indians were obliged to retire to a city which lay behind them, and which Alexander invefted that very night. The next day he ftormed the city with luch violence, that the inhabitants were compelled to abandon it, and to retire to the caftle, where they prepared for an obftinate defence. The kinff inftantly gave orders for fcaling the walls, and the loldiers prepared to execute thefe orders as faft as they could ; but the king being impatient caught hold ol a ladder and mounted it firft himfelf, being followed by Leonatus, Peuceftas, and Abreas, the latter a man ol great valour, and who on that account had double pay allowed him. The king having gained the top ot the battlements, cleared them quickly of the defend¬ ants, killing fome of them with his fword, and pufti- His ddL mg others over the trolls : but after this was donl, he rai X, was m more danger than ever; for the Indians galledai!tllarger, him with their arrows from the adjacent towers though they durft not come near enough to engage him. His own battalion of targeteers mounting in hafte to fecond him, broke the ladders ; which as loon as Alexander perceived, he threw himfelf down into the caflle, as did alfo Peuceftas, Leonatus, and Abreas. As foon as the king was on the ground, the Indian general rulhed forward to attack him ; but Alexander inftantly defpatched him, as well as feveral others who followed him. Upon this the reft retired and contented themfelves with throwing darts and ftones at him at a diftance. Abreas was ftruck into the head with an arrow, and died on the fpot ; and ftiortly after, another pierced through the king’s breafL Plate ,ln,t0, .hls. .b,ody* As long as he had fpirits, he defended himfelf valiantly ; but, through avail effufion of blood, lofing his fenfes, he fell upon his Ihield. Peuceftas then covered him with the facred fhield of Pallas on one fide, as did Leonatus with his own Ihield on the other, though they themfelves were dreadfully 105 e pro- _ j eds in his Indus, i'yage wn the dus. MAC [ 3 Jaeedon. dreadfully wounded. In the mean time, however, the —foldiers on the outfide, eager to fave their king, fup- if plied their want of ladders, by driving large iron pins T11 1 into the walls. By the help of thefe many of them ?ed by afcended, and came to the affiftance of Alexander and smen. his companions. The Indians were now flaughtered without mercy j but Alexander continued for fome time in a very dangerous way : however, he at laft re¬ covered his ftrength, and fhowed himfelf again to his army, which filled them with the greateli joy. The Malli, being now convinced that nothing but fubmiflion could fave the remainder of them, fent de¬ puties to Alexander, offering the dominion of their country ; as did alfo the Oxydracae : and the king having fettled every thing in thefe countries agreeable to his mind, proceeded on his voyage down the river In this voyage he received the fubmiflion of fome other Indian princes ; and perceiving, that at the point of the ifland Pattala, the river divided itfelf into two vaft branches, he ordered an haven and con¬ venient docks to be made there for his fliips j and when he had careened his fleet, he failed down the right hand branch towards the ocean. In his paffage he fuftained great difficulties by reafon of his want of pilots, and at the mouth of the river very narrowly miffed being call away : yet all this did not hinder him from purfuing his firft defign, though it does not appear that he had any other motive thereto than the vain defire of boafting that he had entered the ocean beyond the Indus : for, having confecrated certain bulls to Neptune, and thrown them into the fea, performed certain libations of golden cups, and thrown the cups alfo into the fea, he came back again $ having only furveyed two little iflands, one at the mouth of the Indus, and one a little farther in the ocean. On the king’s return to Pattala, he refolved to fail down the other branch of the Indus, that he might fee whether it wras more fafe and commodious for his fleet than that which he had already tried ; and for this he had very good reafons. He had refolved to fend Nearchus with his fleet by fea, through the Perfian gulf up the river Tigris, to meet him and his army in Mefopotamia 5 but as the poffibility of this voyage depended on the ceafing of the Etefian winds, there was a neceffity of laying up the fleet till the feafon ffiould prove favourable. Alexander, there¬ fore, failing through this branch of the Indus, fought on the fea coafl; for bays and creeks, where his fleet might anchor in^afety j he caufed alfo pits to be funk, which might be filled with freffi water for the ufe of his people 5 and took all imaginable precautions for preferving them in eafe and fafety till the feafon would allow them to continue their voyage. In this he fucceeded to his wiffi ; for he found this branch of the river Indus, at its mouth, fpread over the plain country, and forming a kind of lake, wherein a fleet might ride with fafety. He therefore appointed Leo- natus, and a part of his army, to carry on fuch works as were neceflary : caufing them to be relieved by I0g freffi troops as often as there was occafion : then hav- tsout for mg given his laft inftrudlions to Nearchus, he de- ibylon. parted with the reft of the army, in order to march back to Babylon. Before the king’s departure, many of his friends 17 ] MAG advifed him againft the route which he intended to MaceJon. take. They told him, that nothing could be more raffi v"”” or dangerous than this refolution. They acquainted him, that the country through which he was to travel was a wild uncultivated defert ; that Semiramis, when flie led her foldiers this way out of India, brought home but 20 of them j and that Cyrus, attempting to do the fame, returned with only feven. But all this was fo far from deterring Alexander, that it more than ever determined him to purfue no other road. As foon, therefore, as he had put things in order, he marched at the head of a fufficient body of troops to reduce the Oritae, who had never vouchfafed either to make their fubmiffion or to court his friendfhip. Their territories lay on the other fide of a river called Ara- bis, which Alexander croffed fo fpeedily, that they had no intelligence of his march 5 whereupon moft of them quitted their country, and fled into the deferts. Their capital he found fo well fituated, that he refolv¬ ed to take it out of their hands, and to caufe a new and noble city to be founded there, the care of which he committed to Hephaeftion. Then he received the deputies of the Oritae and Gedrofi j and having affured them, that if the people returned to their villages, they ihould be kindly treated, and having appointed Apol- lophenes prefident of the Oritae, and left a confiderable body of troops under Leonatus to fecure their obe¬ dience, he began his march through Gedrofia. In this 107 march his troops fuffered incredible hardftiips. The His dan- road was very uncertain and troublefome, on account §ero1^ of its lying through deep and loofe fands, rifing in many t.j)^ougj1 places into hillocks, which forced the foldiers to climb, Gedrofia. at the fame time that it funk under their feet j there were no towns, villages, nor places of refreftiment, to be met with $ fo that, after exceffive marches, they w^ere forced to encamp among thefe dry fands. As to pro- vifions, they hardly met with any during their whole march. The foldiers were therefore obliged to kill their beafts of carriage 5 and fuch as were fent to bring fome corn from the fea fide, were fo grievoufly diftreffed, that, though it was fealed with the king’s fignet, they cut open the bags, choofing rather to die a violent death for difobedience than periffi by hunger. When the king, however, was informed of this, he freely par¬ doned the offenders 5 he was alfo forced to accept the excufes that were daily made for the lofs of mules, horfes, &c. which were in truth eaten by the foldiers, and their carriages broken in pieces to avoid further trouble. As for water, their want of it was a great misfortune j and yet their finding it in plenty was fometimes a greater : for, as by the firft they periffied with thirft, fo by the latter they were burft, throw n into dropfies, and rendered incapable of travel. Frequently they met with no water for the whole day together : fometimes they were difappointed of it at night ; in which cafe, if they were able, they march¬ ed on 5 fo that it was common with them to travel 30, 40, 50, or even 60 miles without encamping. Num¬ bers through thefe hardffiips were obliged to lag in the rear ; and of thefe many were left behind, and periffi- ed ; for indeed fcarce any ever joined the army again. Their miferies, however, they fuftained with incre¬ dible patience, being encouraged by the example of their king ; who, on this occafion, fuffered greater hardffiips than the meaneft foldier in his army. At laft they Macedon. MAC 109 Redreffes the grie¬ vances of his people, no Marries other two wives. ill Pays the debts of h army. t. ey arrived at the capital of Gedrolia, where they re- refhed themfelves, and ftaid fome time : after which they marched into Caramania j which being a very plen- ti ul country, they there made themfelves ample amends for tlie hardfhips and fatigues they had fuitained. Here they were joined firlt by Craterus with the troops un¬ der his command, with a number of elephants : then came Stafanor preiident of the Arians, and Pharifmanes the .on of Phrataphernes governor of Parthia. They brought with them camels, horfes, and other beads of burden, in vaft numbers ; having forefeen, that the king’s march through Gedrofia would be attended with the lofs of the greateft part, if not of all the cavalry and beads belonging to his army. -baring Alexander’s day in Caramania, he redreffed the injuries of his people, who had been grievoufly op- preffed by their governors during his abfence. Here alfo he was joined by his admiral Nearchus, who brought him an account that all under his command were in perfect fafety, and in excellent condition j with which the king was mightily pleafed, and, after having bellowed on him lingular marks of his favour, lent him back to the navy. Alexander next fet out for Perfia, where great diforders had been committed du¬ ring his abfence. Thefe alfo he redrefled, and caufed toe governor to be crucified ; appointing in his room Peuceftas, who faved his life when he fought fingly agamft a whole garrifon as above related. The new governor was no fooner inverted with his dignity, than he laid afide the Macedonian garb, and put on that of the Medes j being the only one of Alexander’s captains, who, by complying with the manners of the people he governed, gained their affetfion. While Alexander vifited the different parts of Per- rta, he took a view, among the reft, of the ruins of Per- iepolis, where he is faid to have expreffed great for- row for the deftru&ion he had formerly occalioned. From Perfepolis he marched to Sufa, where he gave an extraordinary loofe to pleafure 5 refolving to make himlelf and his followers fome amends for the difficul¬ ties they had hitherto undergone: purpofing at the lame time fo effeaually to unite his new conquered with his hereditary fubjefts, that the jealoufies and iears which had^ hitherto tormented both, fliould no longer fubfift. With this view he married two wives of the blood royal of Perfia j viz. Barfine, or Statira, r r-k U^ter •^ar*Us> and Paryfatis the daughter of Ochus. Drypetis, another daughter of Darius, he gave to Hephaeftion 5 Amallrine, - he daughter of Oxy- artes the brother of Darius, married Craterus •, and to the reft of his friends, to the number of 80, he pave other women of the greateft quality. All thefe mar¬ riages were celebrated at once, Alexander himfelf be¬ llowing fortunes upon them ; he direfted likewife to ta^e account of the number of his officers and foldiers who had married Afiatic wives j and though they ap¬ peared to be 10,000, yet he gratified each of them ac- cording to his rank. He next refolved to pay the debts ;0. his army, and thereupon iffued an edidl direfling every man to regifter his name and the fum he owed : with which the foldiers complying llowly, from an ap- prehenfion that there was fome defign againft them, Alexander oidered tables heaped with money to be fet m all quarters of the camp, and caufed every man’s debts to be paid on his bare word, without even [ ] MAC making any entry of ms name : though the whole fum Mafedon. came to 20,000 talents. On fuch as had diftinguilhed ’T^- themlelves in an extraordinary manner, he bellowed crowns of gold. Peuceltas had the firft j Leonatus the fecond 5 Nearelms the third ; Oneficritus the fourth ; H phaeition the fifth j and the reft of his guards had each of them one. After this he made jither difpofitions for conciliating, as he fuppofed, the differences among all his fubjeds. He reviewed the 30,000 youths, whom at his departure for India he had ordered to be taught Greek and the Macedonian dif- cinlinej expreffing high fatisfadion at the fine appear¬ ance they made, which rendered them worthy of the appellation he bellowed on them, viz. that of Epigoni, 1. e. fucceffors.. He promoted alfo, without any dif- tinflion of nation, all thofe who had ferved him faith¬ fully and valiantly in the Indian war. When all thefe regulations were made, he gave the command of his heavy armed troops to Hephaeftion, and ordered him to march direftly to the banks of the Tigris, while in the mean time a fleet was equipped for carrying the king and the troops he retained with him down to the ocean. Ihus ended the exploits of Alexander ; the greateft conqueror that ever the world faw, at leaft with re- fpeft to the rapidity of his conquefts. In 12 years time he had brought under his fubje&ion Egypt Libya, Alia Minor, Syria, Phoenicia, Paleftine, Ba-’ byloma, Perfia, with part of India and Tartary. Still however, he meditated greater things. He had now got a great tafte in maritime affairs j and is faid to have meditated a voyage to the coafts of Arabia and Ethiopia, and thence round the whole continent of Africa to the rtraits of Gibraltar. But of this there is no great certainty j though that he intended to fub- due the Carthaginians and Italians, is more than pro¬ bable. All thefe defigns, however, were fruftrated by his death, which happened at Babylon in 323 B. C. He is faid to have received feveral warnings of his ap¬ proaching fate, and to have been advifed to avoid that city 5 which advice he either defpifed or could not fol¬ low. He died of a fever after eight days illneft, with- out warning any fucceffor j having only given his ring Babylon to Perd.ccas, and left the kingdom, as he faid, to the moji worthy. Ihe charafter of this great prince has been variouf- H;s charac. ly reprefented ; but moft hiftonans feem to have look-ter< ed upon him rather as an illuftrious madman than one upon whom the epithet of Great could be properly be¬ llowed. From a careful obfervation of his conduft however, it mull appear, that he poffeffed not only a capacity to plan, but likewife to execute, the greateft enterprifes that ever entered into the mind of any of the human race. From whatever caufe the notion originated, it is plain that he imagined himfelf a divine perfon, and born to fubdue the whole world: and ex¬ travagant and impraftieable as this fcheme may appear at prefent, it cannot at all be looked upon in the lame light in the time of Alexander. The Greeks were in his time the molt powerful people in the world in re- fpeft to their Ikill in the military art, and the Perfians were the moft powerful with refpeft to wealth and numbers. I he only other powerful people in the world were the Carthaginians, Gauls, and Italian na¬ tions. From a long feries of wars which the Cartha¬ ginians MAC [3 .faceJjn. ginians carried on in Sicily, it appeared that they "'"v'-’""'' were by no means capable of contending with the Greeks, even when they had an immenfe fuperiority of numbers j much lefs then could they have fuftained an attack from the whole power of Greece and Afxa united. The Gauls and Italians were indeed very brave, and of a martial difpofition; but they wfere bar¬ barous, and could not have refilled armies well dif- ciplined and under the command of fuch a Ikilful leader as Alexander. Even long after this time, it ap¬ peared that the Romans themfelves could not have refilled the Greeks ; fince Regulus, after having de¬ feated the Carthaginians and reduced them to the ut- moft diilrefs, was totally unable to refill a Carthagi¬ nian army commanded by a Greek general, and guided by Greek difcipline. Thus it appears, that the fcheme of Alexander can¬ not by any means be accounted that of a madman, or of one who projects great things without judgment or means to execute them. If we confider from his ac¬ tions the end which moil probably he had in view, could his fcheme have been accomplifhed, we Ihall find it not only the greateil but the bejl that can poffibly be imagined. He did not conquer todeilroy, enllave, or opprefsj but to civilize and unite the whole world as one nation. No fooner was a province conquered than he took care of it as if it had been part of his paternal inheritance. He allowed not his foldiers to opprefs and plunder the Perfians, which they were very much inclined to do ; on the contrary, by giving into the oriental cufloms himfelf, he llrove to extinguifh that inveterate hatred which had fo long fubfilled be¬ tween the two nations. In the Scythian countries which he fubdued, he purfued the fame excellent plan. His courage and military fidll, in which he never was excelled, w'ere difplayed, not with a view' to rapine or defultory conqueft, but to civilize and induce the bar¬ barous inhabitants to employ themfelves in a more pro¬ per way of life. “ Midft the hard [hips of a military life (fays Dr Gillies), obftinate fieges, bloody battles, and dear bought victories, he Hill refpecled the rights of mankind, and praftifed the mild virtues of huma¬ nity. The conquered nations enjoyed their ancient law's and privileges j the rigours of defpotifm were foft- ened \ arts and induftry encouraged ; and the proudell Macedonian governors compelled, by the authority and example of Alexander, to obferve the rules of juflice towards their meanefl fubjedls. To bridle the fierce inhabitants of the Scythian plains, he founded cities and eflablifhed polonies on the banks of the laxartes and Oxus ; and thole deftrudlive campaigns ufually afcribed to his refllefs adlivity, and blind ambition, appeared to the difcernment of this extraordinary man not only effential to the fecurity of the conquefts which he had already made, but neeeffary for the more remote and fplendid expeditions which he Hill pur- pofed to undertake, and which he performed with lingular boldnefs and unexampled fuccefs.” In an¬ other place, the fame author gives his charadler in the following words. “ He was of a low flature, and fomewhat deform¬ ed ; but the adlivity and elevation of his mind ani¬ mated and ennobled his frame. By a life of continual labour, and by an early and habitual pradlice of the gymnailic exercifes, he had hardened his body againft 19 ] MAC the impreffions of cold and heat, hunger and thirfl, and prepared his robuft conflitution for bearing fuch exertions of flrength and adlivity, as have appeared incredible to the undifciplined foftnefs of modern times. In generofity and in prowefs, Jie rivalled the greateft heroes of antiquity j and in the race of glory, having finally outftnpped all competitors, became ambitious to furpafs himfelf. H is fuperior Ikill in war gave un¬ interrupted fuccefs to his arms j and his natural hu¬ manity, enlightened by the philofophy of Greece, taught him to improve his conquelts to the bed inte- refls of mankind. In his extenfive dominions he built or founded not lefs than 70 cities j the fituation of which being chofen with confummate wifdom, tended to facilitate communication, to promote commerce, and to diffufe civility through the greateil nations of the earth. It may be fufpedled, indeed, that he mif- took the extent of human power, when in the courfe of one reign he undertook to change the face of the world : and that he mifcalcuiated the ilubbornnefs of ignorance and the force of habit, when he attempted to enlighten barbarifm, to foften fervitude, and to tranfplant the improvements of Greece into an Afri¬ can and Afiatic foil, where they have never been known to flouriih. Yet let not the defigns of Alex¬ ander be too hailily accufed of extravagance. Who¬ ever feriouily confiders what he actually performed be¬ fore his 33d year, will be cautious of determining w'hat he might have accompliilied had he reached the ordi¬ nary term of human life. His refources were peculiar to himfelf j and fuch view’s as well as aflions became him as wmuld have become none befides. In the lan¬ guage of a philofophical hillorian, * he feems to have been given to the world by a peculiar difpenfation of Providence, being a man like to none other of the human kind.’ “ From the part which his father Philip and himfelf a£led in the affairs of Greece, his *hiiiory has been tranfmitted through the impure channels of exagge¬ rated flattery or malignant envy. The innumerable fictions which difgrace the works of his biographers, are contradi&ed by the moil authentic accounts of his reign, and inconfiilent with thofe public tranfaclions which concurring authorities confirm. In the prefent work it feemed unneceffary to expatiate on fuch topics, fince it is lefs the bufinefs of hiitory to repeat or even to expofe errors than to fele£l and imprefs ufeful truths. An author, ambitious of attaining that purpofe, can feldom indulge the language of general panegyric. He will acknowledge that Alexander’s aftions were not always blameleis •, but, after the moil careful ex¬ amination, he will affirm, that his faults were few in number, and refulted from his fituation rather than from his chara6ler. “ From the firll vears of his reign he experienced the crimes of difaffe£tion and treachery, which multiplied and became more dangerous with tjbe extent of his dominions and the difficulty to govern them. St veral of his lieutenants early afpired at independence; others formed confpiraeies againlt the life of their mailer. The firft criminals were treated with a lenity becom¬ ing the generous fpirit of Alexander: but when Philotas, the fon of Parmenio, and even Parmenio himfelf, afforded reafon to fufpeft their fidelity ; when the Macedonian youths, who, according to the infti- lutioii 4 Macedon. MAC ^ acedon. tution of Philip, guarded the royal pavilion, prepared to murder their fovereign, he found it neceffary to de¬ part from his lenient fyftem, and to hold with a firmer hand the reins of government. Elated by unexampled prosperity, and the fubmiflive reverence of vanquilhed nations, his loftinefs difgufted the pride of his Euro¬ pean troops, particularly the Macedonian nobles, who had been accuftomed to regard themfelves rather as his companions than fubje&s. The pretenfions which found policy taught him to form and to maintain, of being treated with thofe external honours ever claim¬ ed by the monarchs of the Eaft, highly offended the religious prejudices of the Greeks, who deemed it im¬ pious to proftrate the body or bend the knee to any mortal fovereign. Yet had he remitted formalities confecrated by the pra&ice of ages, he muft infenfibly have loft the refpedt of his Afiatic fubje&s. With a view to reconcile the difcordant principles of the vic¬ tors and vanquifhed, he affeded an immediate defcent from Jupiter Ammon, a claim liberally admitted by the avarice or fears of the Libyan priefts $ and which, he had reafon to expeft, could not be very obftinately denied by the credulity of the Greeks and Macedo¬ nians $ who univerfally acknowledged that Philip, his reputed father, was remotely defeended from the Gre¬ cian Jupiter. But the fuccefs of this defign, which might have entitled him, as a fon of Jupiter, to the fame obeifance from the Greeks which the barbarians rea¬ dily paid him as monarch of the Eaft, was counter- afted, at firft by the fecret difpleafure, and afterwards by the open indignation, of feveral of his generals and courtiers. Nor did the conduft of Alexander tend to extricate him from ihis difficulty. With his friends he maintained that equal intercourfe of vifits and en¬ tertainments which characterized the Macedonian man¬ ners j indulged the liberal flow of unguarded conver- fation ; and often exceeded that intemperance in wine which difgraced his age and country.” We fhall conclude this character of Alexander with obferving, that he had in view, and undoubtedly muft have accomplifhed, the fovereignty of the ocean as well as of the land. The violent refiftance made by the Tyrians had fliown him the ftrength of a commercial nation $ and it was undoubtedly with a view to enrich his dominions by commerce, that he equipped the fleet on the Indus, and wiflied to keep up a communication with India by fea as well as by land. “ It was chiefly with a view to the former of thefe objeCls (fays Dr Ro- bertfon), that he examined the navigation of the Indus with fo much attention. With the fame view, on his return to Sufa, he in perfon furveyed the courfe of the Euphrates and Tigris, and gave directions to remove the cataraCts or dams with which the ancient monarchs of Perfia, induced by a peculiar precept of their reli¬ gion, which enjoined them to guard with the utmoft care againfl defiling any of the elements, had conftruft- ed near the mouths of thefe rivers, in order to (hut out their fubjefts from any accefs to the ocean. By open¬ ing the navigation in this manner, he propofed that the valuable commodities of India fhould be conveyed from the Perfian gulf into the interior parts of his Afiatic do¬ minions, while by the Arabian gulf they fhould be car¬ ried to Alexandria, and diftributed to the reft of the world. u Grand and extenfxve as thefe fchemes were, the [ 32° 1 MAC precautions employed, and the arrangements mad^ for carrying them into execution, were fo various and fo proper, that Alexander had good reaibn to entertain fanguine hopes of their proving fuccefsful. At the time when the mutinous fpirit of his foldiers obliged him to relinquifh his operations in India, he was not 30 years of age complete. At this enterprifing period of life, a prince of a fpirit fo aftive, perfevering, and indefati¬ gable, muft have foon found means to refume a favour¬ ite meafure on which he had been long intent. If he had invaded India a fecond time, he would not, as for¬ merly, have been obliged to force his w ay through hof- tile and unexplored regions, oppofed at every ftep by nations and tribes of barbarians whofe names had never reached Greece. All Afia, from the {bores of the Io¬ nian fea to the banks of the Hyphafis, would then have been fubjeCt to his dominion ; and through that im- menfe ftretch of country he had eftabliftied fuch a chain of cities or fortified ftations, that his armies might have continued their march with fafety, and have°found a regular fucceflion of magazines provided for their fub- fiftence. Nor would it have been difficult for him to bring into the field forces fufficient to have achieved the conqueft of a country fo populous and extenfive as In¬ dia. Having armed and difciplined his fubjedls in the eaft like Europeans, they would have been ambitious to imitate and to equal their inftrudlors j and Alexan¬ der might have drawn recruits, not from his fcanty do¬ mains in Macedonia and Greece, but from the vaft re¬ gions of Afia, which in every age has covered the earth, and aftoniflied mankind with its numerous ar¬ mies. When at the head of fuch a formidable power he had reached the confines of India, he might have entered it under circumftances very different from thofe in his firft expedition. He had fecured a firm footing there, partly by means of the garrifons which he left in the three cities which he had built and fortified, and partly by his alliance with Taxiles and Porus. Thefe two Indian princes, won by Alexander’s humanity and beneficence, which, as they were virtues feldom dif- played in the ancient mode of carrying on war, excited of courfe a higher degree of admiration and gratitude, had continued fteady in their attachment to the Mace¬ donians. Reinforced by their troops, and guided by their information as well as by the experience which he had acquired in his former campaigns, Alexander muft have made rapid progrefs in a country where every in¬ vader from his time to the prefent age has proved fuc¬ cefsful. “ But this and all his other fplendid fchemes were terminated at once by his untimely death. In con- fequence of that, however, events took place which il- luftrate and confirm the juftnefs of the preceding fpecu- lations and conjedlures, by evidence the moft ftriking and fatisfaftory. When that great empire, which the fuperior genius of Alexander had kept united and in fubjeftion, no longer felt his fuperintending controul, it broke into pieces, and its various provinces xvere feized by his principal officers, and parcelled out among them. From ambition, emulation, and perfonal animo- fity, they foon turned their arms againft one another j and as feveral of the leaders were equally eminent for political abilities and for military {kill, the conteft was maintained long, and carried on with frequent vicifli- tudes of fortune. Amidft the various convulfions and revolutions Macedon j M A C '. 114 wfes of e diffolu an of his npire. \!acedon. revolutions which thefe occafioned, it was found that the meafures of Alexander for the prefervation of his conquefts had been concerted with fuch fagacity, that upon the final reftoration of tranquillity, the Macedo¬ nian dominion continued to be etlablifhed in every part of Afia, and not one province had (liaken off the yoke. Even India, the moft remote of Alexander’s conquelts, quietly fubmitted to Python the fon of Agenor, and af¬ terwards to Seleucus, who fucceflively obtained domi¬ nion over that part of Alia. Purus and Taxiles, not- withftanding the death of their benefactor, neither de¬ clined fubmiffion to the authority of the Macedonians, nor made any attempt to recover independence.” * With the death of Alexander fell alfo the glory of the Macedonians j who very foon relapfed into a litu- ation, as bad, or worfe, than that in which they had been before the reign of Philip. This was occafioned principally by his not having diftinctly named a fuc- ceffor, and having no child of his own come to the years of difcretion to whom the kingdom might feem naturally to belong. The ambition and jealoufy of his mother Olympias, his queen Roxana, and efpecially of the great commanders of his army, not only prevented a fucceffor from being ever named, but occafioned the death of every perfon, whether male or female, who W'as in the lead related to Alexander. To have a juft notion of the origin of thefe difturbances, it is neceffary in the firft place to underftand the fituation of the Ma¬ cedonian affairs at the time of Alexander’s death. When Alexander fet out for Afia, he left Antipater, as we formerly obferved, in Macedon, to prevent any difturbances that might arife either there or in Greece. The Greeks, even during the lifetime of Alexander, bore the fuperiority which he exercifed over them with great impatience ; and, though nothing could be more gentle than the government of Antipater, yet he was exceedingly hated, becaufe he obliged them to be quiet. One of the laft aftions of Alexander’s life fet all Greece in a flame. Pie had, by an edi£f, direffed all the cities of Greece to recal their exiles ; which edidl, when it was publiftied at the Olympic games, created much con- fufion. Many of the cities w ere afraid, that, when the exiles returned, they would change the government ; moft of them doubted their own fafety, if the edift took place j and all of them held this peremptory decree to be a total abolition of their liberty. No fooner, there¬ fore, did the news of Alexander’s death arrive than they prepared for war. In Afia the ftate of things was not much better; not indeed through apy inclination of the conquered coun¬ tries to revolt, but through the diffenfions among the commanders.—In the general council which was called foon after the death of Alexander, after much confufion and altercation, it was at laft agreed, or rather com¬ manded by the foldiers, that Aridaeus, the brother of Alexander, who had always accompanied the king, and had been wont to facrifice with him, Ihould affume the fovereignty.—This Aridaeus was a man of very flender parts and judgment, not naturally, but by the wicked pra&ices of Olympias, who had given him poifonous draughts in his infancy, left he ftiould ftand in the way of her fon Alexander or any of his family ; and for this, or fome other reafon, Perdiccas, Ptolemy, and moft of the horff officers, relented his promotion to fuch a de- .gree, that they quitted the afiembly, and even the city. Vol. XII. Part I. [ 32' 1 M A C .u5 idseus Jointed ‘g- However, Meleager, at the head of the phalanx vigo- Maceclon. roully lupported their firft refolution, and threatened loudly to Ihed the blood of thoi’e who affebted to rule over their equals, and to affume a kingdom, which no¬ way belonged to them : Aridaeus was accordingly ar¬ rayed in royal robes, had the arms of Alexander put upon him, and was faluted by the name of Phi/ip, to 116 render him more popular. Thus were two parties form- A party ed, at the head of whom were Meleager and Perdiccas, both of them pretending vaft concern for the public ^ good, yet at bottom defiring nothing more than their by Perdic- own advantage. Perdiccas was a man of high birth,cas. and had a fupreme command in the army, was much in favour with Alexander, and one in whom the nobility- had put great confidence. Meleager had become for¬ midable by having the phalanx on his fidt, and having the nominal king entirely in his power; for Aridaeus, or Philip, was obliged to comply with whatever he thought proper ; and publicly declared, that whatever he did was by the advice of Meleager; fo that he made his minifter accountable for his own fchemes, and no¬ way endangered himfelf. The Macedonians alfo, be- fides their regard for the deceafed king, foon began to entertain 'a perfonal love for Philip on account of his moderation. It is remarkable, however, that notwithftanding all the favours w'hich Alexander had conferred upon his officers, and the fidelity with which they had ferved him during his life, only two of them were attached to the intererts of his family after his death. Thefe were Antipater, and Eumenes the Cardian, whom he had appointed his fecretary. Antipater, as we have al¬ ready feen, was embroiled with the Greeks, and could not affift the royal family who were in Afia ; and Eu¬ menes had not as yet fufficient intereft to form a party u7 in their favour. In a ftiort time, however, Perdiccas Meleager prevailed againft Meleager, and got him murdered ; mur(iere(b by which means the fupreme pow'er for a time fell intoem" his hands. His firft ftep, in confequence of this power, vkfed.1 was to diftribute the provinces of the empire among the commanders in the follow ing manner, in order to pre¬ vent competitors, and to fatisfy the ambition of the principal commanders of the army. Aridaeus, and the fon of Roxana, born after the death of his father, were to enjoy the regal authority. Antipater had the go¬ vernment of the European provinces. Craterus had the title of proteBor. Perdiecas was general of the houfehold troops in the room of Hephaeftion. Ptolemy the fon of Lagus had Egypt, Libya, and that part of Arabia which borders upon Egypt. Cleomenes, a man of infamous charafter, whom Alexander had made re¬ ceiver-general in Egypt, was made Ptolemy’s deputy. Leomedon had Syria ; Philotas, Cilicia ; Python, Me¬ dia ; Eumenes, Cappadocia, Paphlagonia, and all the country bordering on the Euxine fea, as far as Trape- zus ; but thefe were not yet conquered, fo that he was a governor without a province. Antigonus had Pam- phylia, Lycia, and Phrygia Major ; Caffander, Ca- ria; Menander, Lydia; Leonatus, Phrygia on the Hellefpont. ug In the mean time, not only Alexander’s will, but Alexan- Alexander himfelf, was fo much neglefled, that his^er’s body was allowed to remain feven days before any no-^d^iswllJ tice was taken of it, or any orders given for its being |-a af1(je> embalmed. The only will he left was a Ihort memo- S f randurn M AC [3 Macedon. randum of fix things he would have done. i. The building of a fleet of 1000 flout galleys, to be made ufe of againft the Carthaginians and other nations who fhould oppofe the redudfion of the fea-coafls of Africa and Spain, with all the adjacent iflands as far as Sicily. 2. A large and regular highway was to be made alon^ the coafl of Africa, as far as Ceuta and Tangier. 3°. Six temples of extraordinary magnificence were to be eredled at the expence of 1500 talents each. 4. Caf- tlts, arfenals, havens, and yards for building fiu'ps, to be fettled in proper places throughout his empire. 5. Several new cities were to be built in Europe and Afia ; thole in Afia to be inhabited by colonies from Europe, and thofe in Europe to be filled with Afiatics; that, by blending their people and their manners, that hereditary antipathy might be eradicated which had hitherto fub- fifted between the inhabitants of the different conti¬ nents. 6. Laflly, He had projedled the building of a pyramid, equal in bulk and beauty to the biggc-lt in Egypt, in honour of his father Philip. All thefe de- figns, under pretence of their being expenfive, were re¬ ferred to a council of Macedonians, to be held nobody knew when or where. The government, being now in the hands of Perdic- cas and Roxana, grew quickly very cruel and diftafte- ful. Alexander was fcarce dead when the queen lent for Statira and Drypetis the two daughters of Darius, 1I9 one of whom had been married to Alexander and the The daugh-other to Hephmilion : but as foon as they arrived at Babylon, caufed them both to be murdered, that no fon of Alexander by any other woman, or of Hephgef- tion, might give any trouble to her or her fon Alexan¬ der. Sifygambis, the mother of Darius, no fooner heard that Alexander the Great was dead, than fhe laid violent hands on herfelf, being gpprehenfive of the ca- no lamities which were about to enfue. * The Greeks War was firft declared in Greece againft Antipater r.I°r.!bbUt in lhe year 321 C- Through the treachery of the Theffalians, that general was defeated, with the army he had under his own command. Leonatus was there¬ fore fen t from Afia, with a very confiderable army, to his affiftance ; but both were overthrown with great lofs by the confederates, and Leonatus himfelf was killed. In a ftiort time, however, Craterus arrived in Greece with a great army, the command of which he refigned to Antipater. The army of the confederates amounted to 25,000 foot and 3000 horfe ; but Antipater com¬ manded no fewer than 40,000 foot, 3000 archers, and 5000 horfe. In fuch an unequal conteft, therefore, the Greeks were defeated, and forced to fue for peace ; which they did not obtain but on condition of their re¬ ceiving Macedonian garrifons into feveral of their cities. At Athens alio the democratic government was abro¬ gated ; and fuch a dreadful puniihment did this feem to the Athenians, that 22,000 of them left their country, and retired into Macedon. While thefe things were doing in Greece, difturb- anxl Thrkce. 311 ces beSan air° f° arife Afia and in Thrace. The ‘ A ’ Greek mercenaries, who were difperfcd through the inland provinces of Afia, defpairing of ever being al¬ lowed to return home by fair means, determined to attempt it by force. For this purpofe, they affembled to the number of 20,000 foot and 3000 horfo j but •were all cut off to a man by the Macedonians. In Xaraee, Lyfimachus was attacked by one Seuthes, a ters of Da¬ rius put to death by- Roxana. are fub dued. 171 Bifturban- 22 ] M A C prince of that country, who claimed the dominions of Macedo his anceftors, and had raifed an army of 20,000 foot ““-v- and Sooo horfe. But though the Macedonian com¬ mander was forced to engage this army with no more than 4000 foot and 2000 horfe, yet he kept the field ot battle, and could not be driven out ef the country. Perdiccas, in the mean time, by pretending friendfliip 10 the royal family, had gained over Eumenes entirely I2, to his interell ; and at laft put him in pofleflion of theAmbitionl province of Cappadocia by the defeat of Ariarathesand cmel| king of that country, whom he afterwards cruellyty of ^ caufed to be crucified. Elis ambition, however, nowdlCCas’ began to lead him into difficulties. At the firft divifioa of the provinces, Perdiccas, to ftrengthen his own au¬ thority, had prcpofed to marry Nicaea the daughter of Antipaler ; and fo well was this propofal reliihed, that her brethren Jollas and Archias conduced her to him in order to be prefent at the celebration of the nuptials* But Perdiccas now had other things in view. He had been folicited by Olympias to marry her daughter Cleo¬ patra, the widow of Alexander king of Epirus, and who then refided at Sardis in Lydia. Eumenes pro¬ moted this match to the utmoft of his power, becaufe he thought it would be for the intereft of the royal fa¬ mily j and his perfuafions had fuch an effett on Perdic¬ cas, that he was fent to Sardis to compliment Cleopa¬ tra, and to carry prefents to her in name of her new lover. In the abfence of Eumenes, however, Alcetas, the brother of Perdiccas, perfuaded him to marry Ni- csea ; but, in order to gratify his ambition, he refolved to divorce her immediately after marriage, and marry Cleopatra. By this laft marriage, he hoped to have a pretence for altering the government of Macedon : and, as a neceffary meafure preparative to thefe, he entered into contrivances for deftroying Antigonus. Unfortu¬ nately for himfelf, however, he ruined all his fchemes by his own jealoufy and precipitate cruelty. Cynane, the daughter of Philip by his fecond wife, had brought her daughter named Adda, and who was afterwards named Eurydice, to court, in hopes that King Aridams might marry her. Againft Cynane,’ Perdiccas, from fome political motives, conceived fuch a grudge, that he caufed her to be murdered. This raifed a commotion in the army ; which frightened Perdiccas to fuch a de¬ gree, that he now promoted the match between Ari- daeus and Eurydice 5 to prevent which, he had murder¬ ed the mother of the young princAs. But, in the mean time, Antigonus, knowing the defigns of Perdiccas againft himfelf, fled with his fon Demetrius to Greece, there to take ffielter under the protection of Antipater and Craterus, whom he informed of the ambition and cruelty of the regent. ^ A civil war was now kindled. Antipater, Craterus, A combi- Neoptolemus, and Antigonus, were combined againft nation a- Perdiccas y and it was the misfortune of the empire in§ainftl*H general, that Eumenes, the moft able general, as well as the moft virtuous of all the commanders, was on the fide of Perdiccas, becaufe he believed him to be in the intereft of Alexander’s family. Ptolemy, in the mean time, remained in quiet poffeffion of Egypt; but without the leaft intention of owning any perfon for his fuperior : however, he alfo acceded to the league form¬ ed againft Perdiccas; and thus the only perfon in the whole empire who confulted the intereff of the royal family was Eumenes.. It MAC [ ,f action. US :rdiccas lied by s own 3 It was now thought proper to bury the body of Alexander, which had been kept for two years, during all which time preparations had been making for it. Aridaeus, to whofe care it was committed, fet out from Babylon for Damafcus, in order to carry the king’s body to Egypt. This was fore againft the will of Perdiccas; for it feems there was a fuperftitious report, that wherever the body of Alexander was laid, that country fhould flourilh moft. Perdiccas, therefore, out of regard to his native foil, would have it conveyed to the royal fepulchres in Macedon; but Aridaeus, pleading the late king’s exprefs direction, was deter¬ mined to carry it into Egypt, from thence to be con¬ veyed to the temple of Jupiter Ammon.—The funeral was accordingly conduced with all imaginable mag¬ nificence. Ptolemy came to meet the body as far as Syria: but, inftead of burying it in the temple of Jupiter Ammon, eredted a (lately temple for it in the city of Alexandria ; and, by the refpedl he fhowed for his dead matter, induced many of the Macedonian veterans to join him, and who were afterwards of the greateft fervice to him. No fooner was the funeral over, than both the parties above mentioned fell to blows. Perdiccas marched againft Ptolemy : but was flain by his own men, who, after the death of their general, fubmitted to his antagonift : and thus Eumenes was left alone to contend againft all the other generals who had ferved under Alexander. In this conteft, however, he would by no means have been overmatched, had his foldiers been attached to him ; but as they had been ac- cuftomed to ferve under thofe very generals againft whom they svere now to fight, they were on all occa- fions ready to betray and defert Eumenes. However he defeated and killed Neoptolemus and Craterus, but then found himfelf obliged to contend with Anti¬ pater and Antigonus. Antipater was now appointed protector of the kings, with fovereign power; and Eumenes was declared a public enemy. Anewdivifion fionoftheof Alexander’s empire took place. Egypt, Libya, opire. and the parts adjacent, were given to Ptolemy, becaufe they could not be taken from him. Syria was con¬ firmed to Leomedon. Philoxenus had Cilicia. Me- fopotamia and Arbelitus were given to Amphimachus. Babylon was bellowed on Seleucus. Sufiana fell to Antigenes, who commanded the Macedonian Ar^yraf- pidce or Silver Shields, becaufe he was the firft who oppofed Perdiceas. Peuceftas held Perfia. Tlepole- mus had Caramapia. Python had Media as far as the Cafpian ftraits. 1 Stafander had Aria and Drangia; Philip, Parthia j Stafonor, Badlria and Sogdia ; Sy- birtius, Aracopa •, Oxyartes, the father of Roxana, Parapomifis. Another Python had the country be¬ tween this province and India. Porus and Taxiles held what Alexander had given them, becaufe they would not part with any of their dominions. Cappa¬ docia was afligned to Nicanor. Phrygia Major, Ly- caonia, Pamphylia, and Lycia, were given to A' tigo- nus; Caria to Callander, Lydia to Clytus, Phrygia the Lefs to Aridaeus. Callander was appointed general of the horfe j while the command of the houfehold troops was given to Antigonus, with orders to profecute the war againft Eumenes. Antipater having thus fettled every thing as well as he could, returned to Macedon with the two kings, to the great joy of his countrymen, 116 23 ] M A C having left his fon CaiTander to be a check upon Anti- Macedon. gonus in Alia. Matters now feemed to wear a better afpefl than they had yet done j and, had Eumenes believed that his enemies really confulted the intereftof Alexander’s family, there is not the leaft doubt that the war would have been immediately terminated. He faAV, however, that the delign of Antigonus was only to fet up for himfelf, and therefore he refufed to fubmit. From this time, therefore, the Macedonian empire ceafed in Alia: and an account of the tranfa£fions of this part of the world fall to be recorded under the article Syria. The Macedonian affairs are now en¬ tirely confined to the kingdom of Macedoh itfelf, and to Greece. I2y Antipater had not long been returned to Macedon, Total de- when he died ; and the lalt aftion of his life completed ftru War with the Ro¬ mans. c [ 324 1 MAC of Macedon four years after nereis of Perfeus non- fretted him to ftorm the enemy's M.eefa, camp : but he being naturally of a cowardly difpofi- II tion, refufed to comply, and thus the beft opportunity Macer’ he ever had was loft. Still, however, the Romans gain- r—J ed little or no advantage, till the year 168 B. C. when Paulas iEmilius, a moft experienced commander, was fent to Macedon. Perfeus now put all upon the iffue of a general engagement; and ^milius, with all his cou¬ rage and military experience, would have been defeat¬ ed, had the Macedonians been commanded by a gene¬ ral of the Imalleft courage or conduft. The light¬ armed Macedonians charged with fuch vigour, that after the battle, fome of their bodies were found with¬ in two furlongs of the Roman camp. When the pha¬ lanx came to charge, the points of their fpears ftriking into the Roman fliields, kept the heavy-armed troops from making any motion ; while, on the other hand, Perfeus’s light-armed men did terrible execution. On this occafion, it is faid, that ^milius tore his clothes, and gave up all hopes. However, perceiving that as the phalanx gained ground it loft its order in feveral places, he caufed his own light-armed troops to charge in thofe places, whereby the Macedonians were foon put into confufion. If Perfeus with his horfe had on the firlt appearance of this charged the Romans brilk- ly, his infantry would have been able to recover them- felves ; but inftead of this, he betook himfelf to flight, and the infantry at laft did the fame, but not till 20,000 of them had loft their lives. This battle decided the fate of Macedon, which immediately fubmitted to the conqueror. The coward¬ ly king took refuge in the ifland of Samothrace : but was at laft obliged to furrender to the Roman conful, by whom he was carried to Rome, led in triumph, and afterwards moft barbaroufly ufed. Some pretenders to the throne appeared afterwards ; but being unable to defend themfelves againft the Romans, the country Macedonia W'as reduced to a Roman province in 148 B. C. Tot>ficomesa them it continued fubjeft till the year 13 <;7, when itRon:lan was reduced by the Turkifti fultan Bajazet, and hasprovince’ remained in the hands of the Turks ever fince. MACEDONIANS, in eccleliaftical hiftory, the followers of Macedonius, biftiop of Conftantinople, who through the influence of the Eunomians, was depofed by the council of Conftantinople in 360, and fent into exile. He confidered the Holy Ghoft as a divine energy diffufed throughout the univerfe, and not as a perfon diftindt from the Father and the Son. 1 he fed of Macedonians was cruflied before it had ar¬ rived at its full maturity, by the council affembled by Theodofius in 381, at Conftantinople. See Semi- ARIANS. MACEDONIUS. See Macedonians. M^CER, Emilius, an ancient Eatin poet, was born at Verona, and flourifhed under Auguftus Csefar. Eufebius relates, that he died a few years after Virgil. Ovid ipeaks of a poem of his, on the nature and quality of birds, ferpents, and herbs; which he fays Macer be¬ ing then very old had often read to him : Srffie funs valueres legit milu grandior eevo, ^uaque nocet ferpens, quee juvat herba, Macer. De Panto, lib. iv. eleg. 10. There is extant a poem upon the nature and power of herbs under Macer’s name ; but it is fpurious. He alia wrote MAC [ 325 ] MAC Macer ■wrote a fupplement to Homer, as Quintus Calaber did : afterwards in Greek : laehiavet. —y——' Tu canis aterno quicquid rejlabat Homero : Ne careant fumma Troica bella manu. De Ponto, lib. ii. eleg. 10. MACERATION, is an infufion of, or foaking in¬ gredients in water or any other fluid, in order either to foften them or draw out their virtues. MACER AT A, a town of Italy, in the territory of the church, and in the Marche of Ancona, with a bifhop’s fee, an univerfity, and about 10,000 inhabi¬ tants, It is feated near the mountain Chiento, in E. ^ong- ’S-37- Lat-43- I5* MACHAON, a celebrated phyfician among the ancients, fon of iEfculapius and brother to Podalirius. He went to the Trojan war with the inhabitants of Trica, Ithome, and Oechalia. According to fome, he was king of Meflenia. He was phyfician to the Greeks, and healed the wounds which they received during the Trojan war. Some fuppofe he was killed before Troy by Eurypylus the fon of Telephus. He received divine honours after death, and had a temple in Meffenia. MACH./ERUS, in Ancient Geography, a citadel on the other fide Jordan, near the mountains of Moab, not far from and to the north of the Locus Afphahites. It was the fouth boundary of the Peraea : fituated on a mountain encompaffed round with deep and broad valleys j built by Alexander king of the Jews ; de- ftroyed by Gabinius, in the war with Ariftobulus, and rebuilt by Herod, with a cognominal town round it. Here John the Baptift was beheaded (Jofephus). MACH I AN, one of the Molucca iflands, in the Eaft Indian ocean, about 20 miles in circumference, populous and fertile, producing cloves and fago j and is in poffeflion of the Dutch, who have three Itrong forts built on it. MACHIAVEL, Nicholas, a famous political writer of the 16th century, was born of a diftinguifh- ed family at Florence. He wrote in his native lan¬ guage with great elegance and politenefs, though he underftood very little of the Latin tongue; but he was in the fervice of Marcellus Virgilius, a learned man, who pointed out to him many of the beautiful paflages in the ancients, which Machiavel had the art of pla¬ cing properly in his works. He compofed a comedy upon the ancient Greek model: in which he turned into ridicule many of the Florentine ladies, and which was fo well received, that Pope Leo X. caufed it to be afted at Rome. Machiavel was fecretary, and after¬ wards hiftoriographer, to the republic of Florence. The houfe of Medicis procured him this laft office, together with a handfome falary, in order to pacify his refentment for having fuffered the torture upon fufpicion of being an accomplice in the confpiracy of the Soderini againft that houfe, when Machiavel bore his fufferings without making any confeflion. The great encomiums he beftowed upon Brutus and Caf- fius, both in his converfations and writings, made him ftrongly fufpe&ed of being concerned in another con¬ fpiracy againft Cardinal Julian de Medicis. who was afterwards pope under the name of Clement VII. How¬ ever, they carried on no proceedings againft him j but from that time he turned every thing into ridicule, and 1 gave himfelf up to irreligion. He died in 1530, of a Machiavel remedy which he had taken by way of prevention. Of >YjarjJjnery. all his writings, that which has made the moll noife, 1 < and has drawn upon him the moft enemies, is a politi¬ cal treatife entitled the Prince ; which has been tranf- lated into feveral languages, and wrote againft by many authors. The world is not agreed as to the motives of this work ; fome thinking he meant to recommend tyrannical maxims ; others, that he only delineated them to excite abhorrence. Machiavel alio wrote, Re¬ flexions on Titus Livius, which are extremely curious j The Hiftory of Florence, from the year 1205 to 1494 ; and a quarto volume of Poems and other pieces. Mr Harrington confiders him as a fuperior genius, and as the moft excellent writer on politics and government that ever appeared. MACHINE, (Machvia), in the general, fignifies any thing that ferves to augment or to regulate mov¬ ing powers : Or it is any body deftined to produce motion, fo as to lave either time or force. The word comes from the Greek y.dx,»wi, “ machine, invention, artAnd hence, in ftriXnefs, a machine is fomething that confifts more in art and invention, than in the ftrength and folidity of the materials j for which rea-. fon it is that inventors of machines are called mgenieurs or engineers. Machines are either Ample or compound. The Am¬ ple ones are the feven mechanical powers, viz. lever, balance, pulley, axis and wheel, wedge, ferew, and in¬ clined plane. See Mechanics. From thefe the compound ones are formed by various combinations, and ferve for different purpoles. See Mechanics \ alfo Agriculture, Cannon, Centri¬ fugal, Steam, Furnace, Burroughs, Ramsden, &c. &c. Machines ufed in war amongft the Greeks were principally thefe j 1. KA^axss, or fealing ladders.j 2. The battering ram j 3. The helepolis; 4. The or tortoife, called by the Romans tejludo; 5. The tr-guyM or agger, which was faced with (tone, and railed higher than the wall; 6. Upon the uy.x were built wv^yti or towers of wood ; 7. or offer hurdles ; 8. Cata- pultce, or KetletTTiXlxi, from which they threw arrows with amazing force ; and, 9. The Z^aSoAe*, or xtpflypx, from which ftones were call w ith great ve¬ locity. The principal warlike machines made ufe of by the Romans were, the ram, the lupus or wolf, the tejludo or tortoife, the balijla, the catapulta, and the fcorpion. MACHINERY, in epic and dramatic poetry, is when the poet introduces the ufe of machines j or brings fome fupernatural being upon the ftage, in order to folve fome difficulty or to perform fome exploit out of the reach of human power. The ancient dramatic poets never made ufe of ma¬ chines, unlefs where there was an abfolute neceffity for fo doing ; whence the precept of Horace, Nec Deus interjit, niji dignus vindice nodus bidder it. It is quite otherwife with epic poets, who introduce machines in every part of their poems •, fo that nothing is done without the intervention ol the gods. In Mil¬ ton’s Paradife Loft, by far the greater part of the ac¬ tors M A C r Machinery tors are fupernatural perfonages : Homer and Virgil do Mackenzie. wIthout them > a,ld» in Voltaire’s Henriade, the poet has made excellent ufe of St Louis. As to the manner in which thefe machines fliould aft, it is fometimes invifibly, by fimple infpirations and uiggeftions j fometimes by aftually appearing under fome human form j and, laflly, by means of dreams and oracles, which partake of the other two. However, all thefe Ihould be managed in fueh a manner as to keep within the bounds of probability. ccxcvm MACHUL, an inflrument of mufic among the Hebrews. Kircher apprehends that the name was given to two kinds of inflruments, one of the ftringed and the other of the pulfatile kind. That of the former fort had fix chords j thougn there is great rea- fon to doubt whether an infirument requiring the aid of the hair-bow, and fo much refembling the violin, be fo ancient. 1 he fecond kind was of a circular form, made of metal, and either hung round with little bells' or furmihed with iron rings fufpended on a rod or bar that paffed acrofs the circle. Kircher fuppofes that it was moved to and fro by a handle fixed to it, and thus emitted a melancholy kind of murmur. MACHYNLE1H, a town of Montgomeryfhire in North Wales, 198 miles from London, and 32 from Montgomery. It is an ancient town ; contains above 1100 inhabitants, and has a market on Mfondays, and feveral fairs. It is feated on the river Douay, over which there is a large flone bridge, which leads into Merionethlhire. It was here that Owen Glyndwr ex- ercifed the firft afts of his royalty in 1402. Here lie accepted the crown of Wales, and aiTembled a par¬ liament; and the houfe wherein they met is now-Hand¬ ing, divided into tenements. MACKENZIE, Sir George, an able lawyer, a polite fcholar, and a celebrated wit, was born at Dundee in the county of Angus in Scotland in 1636, and ftudied at the univerfities of Aberdeen and St An¬ drew s; after which he applied himfelf to the civil law, travelled into trance, and profecuted his fludy in that faculty for about three years. At his return to his native country he became an advocate in the city of Edinburgh ; and foon gained the charafter of an emi¬ nent pleader. He did not, however, fuller his abili¬ ties to be confined entirely to that province. He had a good tafte for polite literature; and he gave the pub¬ lic, from time to time, inconteflable proofs of an un¬ common proficiency therein. He had praftifed but a few years, when he was promoted to the office of a judge in the criminal court ; and, in 1674, was made king s advocate, and one of the lords of the privy coun- * d in Scotland. He was alfo knighted by his majefty. In thefe ftations he met with a great deal of trouble, on account of the rebellions which happened in his time ; and his office of advocate requiring him to aft vith feverity, he did not efcape being cenfured, as if in the deaths of fome particular perfons who were exe¬ cuted he had Itretched the laws too far. But there does not feem to have been any juft foundation for this clamour againft him ; and it is generally agreed, that he acquitted himfelf like an able and upright magi- ftrate. Upon the abrogation of the penal laws by King James II. our advocate, though he had alw'ays been remarkable for his loyalty, and even cenfured for his zeal againft traitors and fanatics, thought himfelf 326 ] 'MAG obliged to refign his poft j being convinced, that he could not difcharge the duties of it in that point with a good confcience. But he was foon after reftored, and held his offices till the Revolution ; an event which it leems, he could not bring himfelf to approve. He had hoped that the prince of Orange would have re¬ turned to his own country when matters were adiufted between the king and his fubjefts ; and upon its prov¬ ing otherwife, he quitted all his employments in Scot¬ land^ and retired into England, reiolving to fpt.nd the remainder of his days in the univerfity of Oxford. He arrived there in September 1689, and profecutt’d his Itudies in the Bodleian library, being admitted a ftu- dent there by a grace palled in the congregation, June 2. 1690. In the fpnng following, he went to Lon- don where he fell into a diforder, of which he died in May 1691. _ His corpfe was conveyed by land to Scotland, and interred there with great pomp and fo- lemhity. “ The politenefs of his learning, and the Iprightlmefs of his wit, were (fays the reverend Mr Granger) confpicuous in all his pleadings, and flion« in his ordinary converfation.” Mr Dryden acknow- ledges, that he was unacquainted with what he calls the beautiful turn of words and thoughts in poetry, till they were explained and exemplified to him in a’converfa¬ tion with that noble wit of Scotland Sir George Mac¬ kenzie—He wrote feveral pieces of hiftory and anti¬ quities ; Institutions of the laws of Scotland : Effays upon various fubjefts, &c. His works were printed together at Edinburgh in 1716, in 2 vols. folio. MACKEREL.. See Scomber, Ichthyology index. . MACLAURIN, Colin, a moft eminent mathema¬ tician and. philofopher, was the fon of a clergyman, and born at Kilmoddan in Scotland in 1698. He was fent to the univerfity of Glafgow in 1709 ; where he con¬ tinued five years, and applied himfelf to ftudy in a moll intenfe manner. His great genius for mathema¬ tical learning difeovered itfelf fo early as at twelve years of age when, having accidentally met with an Euclid in a friend’s chamber, he became in a few days mafter of the firft fix books without any affiftance • and it is certain, that in his 16th year he had invent! ed many of the propofitions which were afterwards published under the title of Geotnetria Organica. In his. 15th year he took the degree of mafter of arts"- on which occalion he compofed and publicly defended a thefis On the power of Gravity, with great applaufe. After this he quitted the univerfity, and retired to a country-feat of his uncle, who had the care of his education ; for his parents had been dead fome time. Heie he fpent two or three years in purfuing his fa¬ vourite ftudies ; but, in 1717, he offered himfelf a candidate for the profefforfhip of mathematics in the Manfchal college, of Aberdeen, and obtained it after a ten days trial with a very able competiton In 1710 he went to London, where he became acquainted with Dr Deadly then biffiop of Bangor, Dr Clarke, Sir Laac Newton, and other eminent men ; at which time alio he was admitted a member of the Royal Society • and in another journey in 1721, he contrafted an in! timacy with Martin Folkes, Efq. the prefident of it which lafted to his death. In 1722, Lord Polwarth, plenipotentiary of the kin^ of Great Britain at the congrefs of Cambray, engaged him ■^ekenale j Maclaurin. MAC [ 327 ] MAC acUurin. him to go as a tutor and companion to his eldeft fon, who was then to fet out on his travels. After a Ihort ftay at Paris, and vifiting other towns in France, they fixed in Lorrain j where Maclaurin wrote his piece On the Percuffion of Bodies, which gained the prize of the Royal Academy of Sciences for the year 1724. But his pupil dying foon after at Montpelier, he returned immediately to his profeflion at Aberdeen. He was hardly fettled here, when he received an invitation to Edinburgh ; the curators of that univerfity being de- firous that he fliould fupply the place of Mr James Gregory, whofe great age and infirmities had render¬ ed him incapable of teaching. He had fome difficul¬ ties to encounter, arifing from competitors, who had good intereft with the patrons of the univerfity, and alfo from the want of an additional fund for the new profeffor, which however at length were all furmount- ed, principally by the means of Sir Ifaac Newton. In November IJ2J, he was introduced into the univerfity. After this, the mathematical clafles foon became very numerous, there being generally upwards of 100 young gentlemen attending his leflures every year ; who being of different Handings and proficiency, he was obliged to divide them into four or five claffes, in each of which he employed a full hour every day, from the firft of November to the firft of June. He lived a bachelor to the year 1733 : ^ut being not lefs formed for fociety than for contemplation, he then married Anne, the daughter of Mr Walter Stew¬ art folicitor-general for Scotland. By this lady he had feven children, of whom two fons and three daugh¬ ters, together with his wife, furvived him. In 1734, Berkeley, biffiop of Cloyne, publiffied a piece called “ The Analyft j” in which he took occafion, from fome difputes that had arifen concerning the grounds of the fluxionary method, to explode the method it- felf, and alfo to charge mathematicians in general with infidelity in religion. Maclaurin thought him- felf included in this charge, and began an artfwer to Berkeley’s book : but, as he proceeded, fo many dif- coveries, fo many new theories and problems occurred to him, that inftead of a vindicatory pamphlet, his work came out, A complete fyftem of fluxions, with their applisation to the moft confiderable problems in geometry and natural philofophy. This work was pub- lilhed at Edinburgh in 1742, 2 vols. 410 ; and as it coft him infinite pains, fo it is the moft confiderable of all his works, and will do him immortal honour. In the mean time, he was continually obliging the public with fome performance or obfervation of his own ; many of which were publiftied in the fifth and fixth volumes of the “ Medical Eflays” at Edin¬ burgh. Some of them were likewife publiflied in the Philofophical Tran fa 61 ion s j as the following: 1. Of the conftru61ion and meafure of curves, N° 356. 2. A new method of defcribing all kinds of curves, 359- 3* A letter to Martin Folkes, Efq. on equa¬ tions with impnffible roots, May 1726, N° 394. 4. Continuation of the fame, March 1729, N° 408. 5. December the 2ift, 1732, on the defcription of curves; with an account of farther improvements, and a paper dated at Nancy, November 27. 1722, N° 439. 6. An account of the treatife of fluxions, January 27. I742> N° 467. 7. The fame continued, March 10. 2742> N° 469, 8. A rule for finding the meridional parts of a fpheroid with the fame exa£lnefs as of a Maclausm Iphere, Auguft 1741, N° 461. 9. Of the bafis of" v— the cells wherein the bees depofite their honey ; Nov. 3. 1734, N° 471. In the midft of thefe ftudies, he was always ready to lend his affiftance in contriving and promoting any fcheme which might contribute to the fervice of his country. When the earl of Morton fet out in 1739 for Orkney and Shetland, to vifit his eftates there, he defired Mr Maclaurin to affift him in fettling the geography of thofe countries, which is very errone¬ ous in all our maps ; to examine their natural hiftory, to furvey the coaits, and to take the meafure of a de¬ gree of the meridian. Maclaurin’s family affairs, and other connexions, would not permit him to do this ; he drew, however, a memorial of what he thought neceffary to be obferved, furniffied the proper inftru- ments, and recommended Mr Short, the famous op¬ tician, as a fit operator for the management of them. He had ftill another fcheme for the improvement of geography and navigation, of a more extenfive nature; which was the opening a paffage from Greenland to the South fea by the north pole. That fuch a paf¬ fage might be found, he was fo fully perfuaded, that he has been heard to fay, if his fituation could admit of fuch adventures, he would undertake the voyage, even at his own charge. But when fchemes for finding it were laid before the parliament in 1744, and him- felf conlulted by feveral perfons of high rank concern¬ ing them, before he could finiffi the memorials he pro- poled to fend, the premium was limited to the difco- very of a north-weft paffage : and he ufed to regret, that the word weft was inferted, becaufe he thought that paffage, if at all to be found, muft lie not far from the pole. In 1 745, having been very aftive in fortifying the city of Edinburgh againft the rebel army, he was obli¬ ged to fly from thence to the north of England ; where he was invited by Herring, then archbilhop of York, to refide with him during his ftay in this coun¬ try. In this expedition, however, being expofed to cold and hardlhips, and naturally of a weak and ten¬ der conftitution, he laid the foundation of an illnefs which put an end to his life, in June 1746, at the age of 48. Mr Maclaurin was a very good as well as a very great man, and worthy of love as well as admiration..' His peculiar merit as a philofopher was, that all his ftudies were accommodated to general utility; and we find, in many places of his works, an application even of the moft abftrufe theories, to the perfecting of me¬ chanical arts. He had refolved, for the fame purpofe, to compofe a courfe of praftical mathematics, and to refcue feveral ufeful branches of the fcience from the bad treatment they often met w ith in lefs fkilful hands. But all this his death prevented ; unlefs we ffiould reckon, as a part of his intended work, the tranflation of Dr David Gregory’s “ Praftical Geometry,” which he revifcd, and publiflied with additions, 1745. In his lifetime, however, he had frequent opportuni¬ ties of ferving his friends and his country by his great fkill. Whatever difficulty occurred concerning the conftrudting or perfedfing of machines, the working of mines, the improving of manufadlures, the conveying of water, or the execution of any other public work, MAG' 'M’-Cuvirm. henvas at hand to refolve it. He was likewife em- ~ ployed to terminate fome difputes of confequence that 3iad arifen at Glafgovv concerning the gauging of vef- i'els ; and for that purpofe prefented to the comtniffion- ers of excife two elaborate memorials, with their de- monftratlons, containing rules by which the officers row aft. He made alfo calculations relating to the provifion, now eftabliffied by law, for the children and widows of the Scots clergy, and of the profeflbrs in the univerhties, entitling them to certain annuities and fums, upon the voluntary annual payment of a certain fum by the incumbent. In contriving and adjufting this wife and ufeful fcheme, he bellowed a great deal of labour, and contributed not a little towards bring¬ ing it to perfection. It may be faid of fuch a man, that “ he lived to fome purpofe j” which can hardly be faid of thofe, how uncommon foever their abilities and attainments, who fpend their whole time in abltraft fpeculations, and produce nothing to the real ufe andfer- vice of their fellow creatures. Of h is works, \ve have mentioned his Geometria Or- ganica, in which he treats of the defcription of curve lines by continued motion. We need not repeat what has been faid concerning his piece which gained the prize of the Royal Academy of Sciences in 1724. In 1740, the academy adjudged him a prize, which did him ftill more honour, for folving jhe motion of the tides from the theory of gravity j a queftion which had been given out the former year, without receiving any folution. He had only ten days to draw this pa¬ per up in, and could not find leifure to tranfcribe a fair copy ; fo that the Paris edition of it is incorrefl. He afterwards revifed the whole, and inferted it in his Treatife of Fluxions ; as he did alfo the fubfiance of the former piece. Thefe, with the Treatife of Fluxions, and the pieces printed in the Philofophical Tranfa&ions, of which we have given a lift, are all the writings which our author lived to publilh. Since his death, two volumes more have appeared ; his Al¬ gebra, and his Account of Sir Ifaac Newton’s Philo¬ fophical Difcoveries. His Algebra, though not finiffi- ed by himfelf, is yet allowed to be excellent in its kind : containing, in no large volume, a complete ele¬ mentary treatife of that fcience, as far as it has hither¬ to been carried. His Account of Sir Ifaac Newton’s Philofophy was occafioned in the following manner : Sir Ifaac dying in the beginning of 1728, his nephew, Mr Conduitt, propofed to publiffi an account of his life, and defired Mr Maclaurin’s affiftance. The lat¬ ter, out of gratitude to his great benefactor, cheer¬ fully undertook, and foon finilhed, the hiilory of the progrefs which philofophy had made before Sir Ifaac’s time, and this was the firft draught of the work in hand j which not going forward, on account of Mr Conduitt’s death, was returned to Mr Maclaurin.— To this he afterwards made great additions, and left it in the ftate in which it now appears. His main defign feems to have been, to explain only thofe parts of Sir Ifaac’s philofophy which have been, and ftill are, controverted : and this is fuppofed to be the rea- fon why his grand difcoveries concerning light and colours are but tranfiently and generally touched upon. For it is kn v.vn, that ever fince the experiments, on which his doftrine of light and colours is founded, MAC have been repeated with due care, this doCcrine hasMadamls not been conttfted ; whereas his accounting fur the Macqun,’ celeftial motions, and the other great appearances of nature, from gravity, is mifunderftood, and even ridi¬ culed by fome to this day. MACQUER, Philippe, advocate of the parlia¬ ment of Paris, where he was born in 1720, being defcended from a refpe&able family. A weaknefs in his lungs having prevented him from engaging in the laborious exercifes of pleading, he dedicated him* felf to literary purfuits. His works are, 1. L"1 Abregf Chrono/ogique de I'Hi/toire Ecclejiaftique, 3 vols. 8vo. written in the manner of the prelident Henault’s Hi- ftory of France, but not poffeffed of equal fpirit and elegance. 2. Les Annaies Romaines, 1756, 8vo; ano¬ ther chronological abridgement, and much better fup- ported than the former. Into this work the author has introduced every thing moft worthy of notice w hich has been written by Saint Evremond, Abbe Saint- Real, Prefident Montefquieu, Abbe Mably, &c. con¬ cerning the Romans j and, if we except a difference of ftyle, which is eafily difcernible, it is, in other refpe&s, a very judicious compilation. 3. Abrege Chrono/ogique de I'HiJloire d' Ffpagne et de Portugal, 1759, 1765, in 2 vols. 8vo. i his book, in point of accuracy, is worthy of the prefident Henault, by whom it was be¬ gun ; but it difplays no difcrimination of charafter nor depth of refearch. The author received affiftance from M. Lacombe, whofe talents for chronological abridge¬ ment are w'ell know n. The republic of letters fuftain- ed a lofs by the death of M. Macquer, which happen¬ ed on the 27th of January 1770, at the age of 50. As to his charadler, he w-as indulirious, agreeable, modeft, and fincere, and an enemy to all foolilh vanity and af¬ fectation. He had a cold imagination, but a correct tafte. He had an eager thirft for knowledge of every kind, and he had negleCted no ufeful branch of ftudy. He had a (hare in the Dictionary of Arts and Profef- fions, in 2 vols. 8vo, and in the Tranflation of the Sy¬ philis of Fracaftor publiffied by Lacombe. Macquer, Pierre Jofeph, brother to the former, was born at Paris the 9th of QCtober 1718, and died there February 16. 1784. He was a member of the Academy of Sciences, and profeffor of pharmacy j and was engaged in the Journal des Sfavans, for the ar¬ ticles of medicine and chemiftry. With the latter fcience he was intimately acquainted. He had a ffiare in the Pharmacopoeia Parijienjis, publiffiedin^jS, in 410. His other works are, 1. Elemens de Chimie theorique; Paris, 1749, llSb 1 2mo j which have been tranflated into Engliffi and German.—2. Elemens de Chimie pratique, 1751, 2 vols. i2mo. Thefe two works were republifhed together, in 1756, In 3 vols. i2mo. 3. Plan d'un cours de Chimie expenmentale et raifonee. I757» 120105 in the compofition of which he was affociated with M. Beaume. 4. Formu/ce Medicamento- rum Magiflralium, 1763, 5. VArt de la Teinture en Soie, 1763- 6. DiElionnaire de Chimie, contenant la Theorie et la Pratique de cet art, 1766, 2 vols. 8vo ; which has been tranftated into German, with notes j and into Englifh, with notes, by Mr Keir. Macquer has, by his labours and writings, greatly contributed to render ufeful an art which formerly tended only to ruin the health of the patient by foreign remedies, or t® reduce [ 328 ] Vlacroce phalus. MAC [3 Macqeur reduce the profeflbrs of it to beggary, while they profecuted the idle dreams of converting every thing into gold. 1 MACRIN, Salmon", one of the belt Latin poets of the 16th century, was born at Loudun. His true name was John Salmon; but he took that of Macrin, from his being frequently fo called in ridicule by Fran¬ cis I. on account of his extraordinary leannefs. He was preceptor to Claudius of Savoy, count of Tende j and to Honorius the count’s brother j and wrote fe- veral pieces of poetry in lyric verfe, which were fo ad¬ mired, that he was called the Horace of his time. He died of old age, at Loudun, in 1555.—Charles MACRIN, his fon, was not inferior to him as a poet, and furpaffed him in his knowledge of the Greek tongue. He was preceptor to Catharine of Navarre, the filter of Henry the Great $ and perifhed in the maflacre on St Bartho¬ lomew’s day in 1572. MACROBII, a people of Ethiopia, celebrated for their juitice, and the innocence of their manners : alfo a people in the ifland Meroe. The Hyperboreans ivere alfo called Macrobii: They generally lived to their 120th year j and from their longevity they obtained their name /3*ej, long life'). MACROSIUS, Ambrosius Aurelius Theodo¬ sius, an ancient Latin writer, who flourifhed towards the latter part of the fourth century.—Of what coun¬ try he was, is not clear : Erafmus, in his Ciceronianus, feems to think he was a Greek; and he himfelf tells us, in the preface to his Saturnalia, that he was not a Roman, but laboured under the inconveniences of writing in a language which was not natural to him. Of what religion he was, Chriltian or Pagan, is uncer¬ tain. Barthius ranks him among the Chriftians ; but Spanheim and Fabricius fuppofe him to have been a heathen. This, however, is certain, that he was a man of confular dignity, and one of the chamberlains or mafters of the wardrobe to Theodofius; as appears from a refcript diredted to Florentius, concerning thofe who were to obtain that office. He wrote a Commen¬ tary upon Cicero’s Somnium Scipionis, and feven books of Saturnalia, which treat of various fubjedls, and are an agreeable mixture of criticifm and antiquity. He was not an original writer, but made great ufe of other people’s works, borrowing not only their materials, but even their language, and for this he has been fatirically rallied by fome modern authors, though rather unfairly, confidering the exprefs declaration and apology which he makes on this head, at the very entrance of his work. “ Don’t blame me,” fays he, “ if what I have cmlledfed from multifarious reading, I ffiall frequently exprefs in the very words of the authors from whom I have taken it: for my view in this prefent work is, not to give proofs of my eloquence, but to colledt and digeft into fome regularity and order fuch things as I thought might be ufeful to be known. I lhall therefore here imitate the bees, who fuck the bell: juices from all forts of flowers, and afterwards work them up into various forms and orders with fome mixture of their own proper fpirit.” The Somnium Scipionis and Saturnalia have been often printed ; to which has been added, in the later editions, a piece entitled DeDJferen- tils et Soctetatibus Grecci Latiniquc Vcrbi. MACROCEPHALUS (compounded of “ great,” and mtpxM, of parafitical plants j mufltrooms of an infinite diverfity of kinds and colours are to be met with everywhere in the woods : and the inhabitants know well how to di- fiinguiflr thofe which are prejudicial t# the health. They colleft large quantities of ufeful gums and rtfins 4 and out of the milky fap of a tree, denominated by them Jinguicre, a fpecies of jatropha, the inhabitants, by means of coagulation, make that Angular fubftance known to naturalifts by the name of gum elajlic, or In¬ dian rubber. Befides the aromatic and medicinal herbs which a- bound in the forefts, the ifland produces flax and hemp of a length and ftrength which furpafs any in Europe. Sugar-canes, wax, honey of different kinds, tobacco, indigo, white-pepper, gum-lac, ambergris, filk, and cot¬ ton, would long fince have been objtfts of commerce which Madagafoar would have yielded in profufion, if the Europeans,, in vifiting the ifland, had furniflied the inhabitants with the neceflary information for pre¬ paring and improving thefe feveral produftions. The fugar cants (as we are informed by another tra¬ veller J) are much larger and finer than any in the Weft Indies j being as thick as a man’s wrift, and fo full of Voyage to juice, that a foot of them will weigh two pounds. India^-l¥ When the natives travel, they carry a fugar-cane along with them, which will fupport them for two or three days. Here are alfo plenty of tamarinds ; and fuch quantities of limes and oranges, that very large calks may r 33° i MAD f 331 ] M A D may be filled with their juices at a trilling expence, as they may be purchafed for iron pots, raulkets, powder, ball, &c. During the Ihort time that Admiral Wat- fun’s fquadron fiaid here in >754> Mr Ives preferred about half a hog dread full of thofe juices, which prov¬ ed afterwards of the greatell fervice to the drips crews. It mult be obferved, however, that no good water is to be had at St Auguftine in the fouth-weft part of the ifland, where (Trips ufually touch, unlefs boats are fent for it four or five miles up the river 5 and inltead of filling their calks at low water (as is the cafe in molt other r ivers), they mult begin to fill at about a quarter’s flood : The reafon afiigned for this is, that the rrver has a communication with the fea at other places be- fides this of St Augultine’s bay ; and it has been found by experience, that the fea water brought into the river by the flood tide is not difcharged till a quarter’s flood of the next tide in St Auguftine’s bay j and for three miles up the river, the water is always very brackilh, if not quite fait. The abundance and variety of provifions of every kind, which a fine climate and fertile foil can produce, are on no part of the globe, according to M. Rochon, fuperior to thofe of Madagafcar : game, wild-fowl, poultry, fifli, cattle, and fruity, are alike plentiful. The oxen, Mr Ives alfo informs us, are large and fat, and have each a protuberance of fat between the Ihoulders, weighing about 20 pounds. Their flefli is greatly efteemed by all the European nations trading to In¬ dia, and (hips are fent to Madagafcar on purpofe to kill and fait them on the illand. The protuberance of fat above mentioned is particularly efteemed after it has lain feme time in fait ; but our author fays, that he could not join in the encomiums either on this piece or the beef in general ; as the herbage on which the creatures feed gives their flefti a particular tafte, which to him was difagreeable. The (beep differ little from the goats ; being equally hairy, only that their heads are fomewhat larger : their necks referable that of a calf, and their tails w'eigh at leaft ten pounds. Vaft quantities of locufts rife here from the low lands in thick clouds, extending fometimes to an incredible length and breadth. The natives eat thefe infefTs, and even prefer them to their fineft fifh. Their method of drefling them is to ftrip off their legs and wings, and fry them in oil. The inhabitants (termed Melagachet or Madecajfes')^ M. Rochon informs us, are in perfon above the middle iize of Europeans. The colour of the (kin is different in different tribes^ among fome it is of a deep black, among others tawney *, fome of the natives are of a copper colour, but the complexion of by far the greateft number is olive. All thofe who are black have woolly hair like the negroes of the coaft of Africa : thofe, on the other hand, who referable Indians and Mulattoes, have hair equally ftraight with that of the Europeans y the nofe is not broad and Hat; the forehead is large and open ; in (hort, all the features are regular and agreeable. Their phyfiognomy difplays the appearance of frank- Tiefs and of fatisfaftion ; they are defirous only of learn¬ ing fuch things as may adminifter to their neceffities ; that fpecies of knowledge which demands refleftion is indifferent to them ; fober, agile, aftive, they fpend the greateft part of their time either in deep or in amufe- ment. In fine, according to the Abb£, the native of Madagafcar, like favages in general, poffeffes achara&er equally devoid of vice and of virtue 5 the gratifications of the prefent moment folely occupy his reflexions ; he poffeffes no kind of forefight whatever ; and he can¬ not conceive the idea that there are men in the world who trouble themfelves about the evils of futurity. The population of the ifland has been eftimated at four millions ; but this calculation is thought exag¬ gerated by our author, and indeed it appears incredible to us. Every tribe or fociety inhabits its own can¬ ton, and is governed by its own cuftoms. Each of thefe acknowledges a chief; this chief is fometimes eleXive, but more ufualiy hereditary. The lands are not divided and portioned out, but belong to thofe who are at the trouble of cultivating them, Thele iflanders make ufe of neither locks nor keys ; the principal part of their food confifts in rice, fifti, and flefli 5 their rice is moiftened with a foup which is fta- foned with pimento, ginger, faffron, and aromatic herbs. They difplay wonderful cunning in catching a variety of birds, many of which aix unknown in Eu¬ rope ; they have the pheafant, the partridge, the quail, the pintado, the wild duck, teal of five or fix different kinds, the blue hen, the black paroquet, and the turtle¬ dove, in great plenty j and alfo a bat of a monftrous fize, which is much prized on account of its exquifite flavour. Thefe Taft are fo hideous in their appearance, that they at firft terrify the European failors : but after they have vanquiftied their repugnance to them, they prize their flefti infinitely before that of the pullets of their own country. The Melagaches alfo catch an im- menfe quantity of fea-fith : fuch as the dorado, the foie, the herring, the mackarel, the turtle, &c. with oyfters, crabs, &c. The rivers afford excellent eels, and mullets of an exquifite flavour. The inhabitants near St Auguftine’s bay, Mr Ives informs us, fpeak as much broken Englith as enables them to exchange their provifions for European ar¬ ticles. Thefe, on the part of the Melagaches are cattle, poultry, milk, fruit, rice, fait, porcelain, potatoes, yams, fifti, lances, and (hells. From the Europeans they receive mufkets, powder, bullets, flints, c/outies, (including handkerchiefs, and linen of all kinds), beads, iron pots, &c.—-Silver, which they call tnani/a, is in great efteem with them, and is made by them into bracelets for their wives. That part of the ifland at which the Englifh fqua¬ dron touched, is the dominions of the king of Baba,, who, by the account of Mr Ives, feemed greatly to affeX to be an Englifliman. They had no fooner touched at the ifland, than they were waited on by one called Robin Hood, and another perfon, both of whom' bore the office of purfers. Along with thefe wrere Philibey the general j John Anderfon and Frederic Martin, captains. Nor did the king himfelf and his family difdain to pay them a vifit j who, in like man¬ ner, were diftinguiftied by Engliftr names j the king’s eldeft fon being called the prince of Wales, and the court not being without a duke of Cumberland, a prince Auguftus, princeffes, &c. as in England. All thefe grandees came on board naked, excepting only a flight covering about their loins and on their Ihoul¬ ders, made of a kind of grafs growing on the ifland 5 which they had adorned with fmall glafs beads by way of border or fringe. Their hair refembled that of the T t 2 Indians MAD [ 332 ] MAD Indians in being long and black, rather than the wool¬ ly heads of the African negroes. “ The wives of the Melagaches (according to our author) take great pains with their huibands hair j fometimes putting it in large and regular curls ; at other times braiding it in great order, and making it fliine with a particular oil which the ifland produces. The men always carry in their hands a wooden lance headed with iron, which is commonly made very neat 5 and they are fuch ex¬ cellent markfmen, that they will flrike with it a very fmall objedl at 30 or 40 yards diflance. They have alfo commonly a mulket, which they get from Euro¬ peans in exchange for cattle, and are always fure to. keep in excellent order. I am forry to fay (continues Mr Ives) that the Englith are frequently guilty of great impofitions in this bind of traffic, by difpofing of cheap and ill-tempered barrels among the poor in¬ habitants, who fometimes lofe their lives by the burll- ing of thefe pieces. Such iniquitous practices as thefe mud in the end prove injurious to the nation j and has indeed already made the name of more than one-half of thefe traders truly infamous among the deluded but hitherto friendly Madagafcarians. “ They are a civil and good-natured people, but eafily provoked, and apt to fhow their refentment on the lead provocation, efpecially when they think themfelves injured or flighted. Another cbara&erif- tic of them is, the very high notions of dignity they entertain of their king j which is carried to fuch a height, that they are never more fenfibly hurt than when they imagine he is treated with incivility or dif- refpect. This mighty monarch refldes in a town built with mud, about 12 miles up the country from St Auguftine’s bay. On the ead fide of the bay, as you. enter, there refided one Prince William, a rela¬ tion and tributary to the king ; but who in mod cafes acted' as an independent prince, and always ufed his utmoft endeavours with the officers to caufe them buy their provifions from him, and not from the king or his fubjefts. In this prince’s territories, not far from the fea, are the remains of a fort built by Avery the pirate. “ All the women of Madagafear, excepting the very poored fort, wear a covering over their breads and fhoulders, ornamented with glafs beads, and none go without a cloth about their loins. They common¬ ly walk with a long {lender rod or dick. The men are allowed to marry as many women as they can mpport. “ During our day at this ifland (fays Mr Ives), I obierved with great concern, feveral nflferable objefls in the lad dage of the venereal difeafe. They had not been able to find any cure ; and as far as I could learn, their doctors are totally ignorant of medicine. The only method they ufe for curing all didempers, as well external as internal, is the wearing on the arm or neck a particular charm or amulet •, or befmearing the part a defied with earth moidened with the juice of tome plant or tree, and made up into foft pade. “ I took feme pains to learn their religious tenets j and find that they worfhip one Univerfal Father j whom, when they fpeak in Eoglifh, they call Got/; and in whom they conceive all kinds of perfection to trefide. The fun they look upon as a glorious body ; and, I believe, as a fpiritual being, but created and 5 dependent. They frequently look up to it with won¬ der, if not with praife and adoration. They make their fupplications to the One Almighty, and offer fa- crifices to him in their diitreffes. I had the curiofity to attend a facrifice, at the hut of John Anderfon, whofe father had for a long time been afflifled with ficknefs. About funfet an ox was brought into the yard j and the fon, who officiated as pried, flew it. An altar was reared nigh, and the pod of it was fprinkled with the blood of the victim. The head after its being fevered from the body, was placed, with the horns on, at the foot of the altar : the caul v:as burned on the fire, and mod of the pluck and en¬ trails boiled in a pot. The fick man, who was brought to the door, and placed on the ground fo as to face the facrifice, prayed often, and feemingly with great fervency. His eyes were fixed attentively towards the heavens, and his hands held up in a fupplicating poi- ture. The ceremony ended with the fon’s cutting up the ox into fmall pieces ; the greated part of which he didributed among the poor flaves belonging to his father and himfelf j referving, however, fome of the bed pieces for his own ufe. Upon the whole, I faw fo many circumdances in this Madagafcarian facrifice, fo exaflly refembling thofe deferibed in the Old Te- flament as offered up by the Jews, that I could not turn my thoughts back to the original, without being fenfibly (truck by the exaftnefs of the copy.” When the fquadron firft arrived at Madagafcar, the king of Baba, a man of about 60 years of age, was- ill of the gout. Having demanded of Admiral Wat- fon fome prefents, the latter complimented him, among other things, with fome brandy. The monarch then aiked him if he had any doftur with him, and if he was a great doftor, and a king’s doftor ? To all which being anfwered in the affirmative, he defired him to bring fome mahomets (medicines) for his fick knee. With this requifition Mr Ives defigned to comply j but having waited until fome officers ihould be ready to accompany him, his majefty, in the mean time, took fueh a dofe of brandy as quickly fent the gout into his head, and occafioned his death. Mr Ives ob- lerves, that it happened very luckily for him that the monarch’s deceafe happened without his having taken any of the medicines intended for him, as it would have been impoflible to avoid the imputation of having poifoned him, which would certainly have been reftnt- ed by his loyal fubjefls. The king’s death occafioned great confufion ; the grandees being defirous that it fliould be concealed for fome time. This, however, was found impoffible ; on which they fet off for the Mud Town about ix o’clock the fame evening. All the inhabitants of the village followed their example 5 leaving only the dogs, who fet up the moft hideous howling. Captain Frederic Martin coming to take leave of the Englifli, begged with great earneftnefs for a frefti fupply of gunpow¬ der j whifpering that the king was dead, and that they flxould in all probability go to war about making another. They had been formerly told, that one who had the title of duke of Baba would certainly fucceed to the throne j but they afterwards learned, that Phi- libey the general having efpoufed the caufe of Ra- phani the late king’s fon, and taken him under his tu¬ telage and prote&ion, this youth, who was only about M .A D of age, fucceeded his [ father as king i6 years Baba. The following is a defcription of the fouthern divi- fion of the ifland, from the Abbe Rochon. “ That part of Madagafcar in which Fort-Dauphin is fituated is very populous. Almolt all the villages are placed on eminences, and furrounded with two rows of ftrong palifadoes, fomewhat in the manner of fuch of our fences as are compofed of hurdles and turf. Within, is a parapet of folid earth about four feet in height; large pointed bamboos placed at the ditlance of five feet from each other, and funk in a pit, form a kind of loop-holes, which contribute towards the de¬ fence of thefe villages, feme of which are befides for¬ tified with a ditch ten feet in breadth and fix in depth. The dwelling of the chief is called a donac. When the chiefs go abroad, they are always provided with a mulket and a ftick armed with iron, and adorn¬ ed at the extremity with a little tuft of cow’s hair. They wear a bonnet of red wool. It is chiefiy by the colour of their bonnet that they are diftinguiihed from their fubje&s. Their authority is extremely limited : however, in the province of CarcanoJJi, the lands by cuftom belong to their chiefs, who diftribute them among their fubjefts for the purpofes of cultivation ; they exaft a trifiing quit-rent in return, which in their language is called faenfa. The people of Carcanofli are not altogether ignorant of the art of writing ; they even pofiefs fome hiftorical works in the Madagafcar tongue : but their learned men, whom they term Om~ biq/Jes, make ufe of the Arabic chara&ers alone. They have treatifes on medicine, geomancy, and judicial aftrology; the molt renowned live in the province of Mat at nne ; it is in that diftridt that magic Hill remains in all its glory *, the Matanes are actually dreaded by the other Madecaffees on account of their excellence in this delufive art. The Ombialfes have public fchools in which they teach geomancy and aftrology. The natives have undoubtedly learned the art of writing from the Arabians, who made a conqueft of this ifland about 300 years fince. “ The people of the province of Anojji, near Fort Dauphin, are lively, gay, fenfible, and grateful ; they are paffionately fond of women ; are never melancholy in their company ; and their principal occupation is to pleafe the fex ; indeed, whenever they meet their wives, they begin to fingand dance. The women, from being happy, are always in good humour. Their live¬ ly and cheerful character is extremely pleafing to the Europeans. I have often been prefent at their alTem- blies, where affairs of importance have been agitated •, I have obferved their dances, their fports, and their amufements, and I have found them free from thofe exceffes which are but too common among poliflied nations. Indeed I was too young at this time for my obfervations to be of much w-eight ; but if my experi¬ ence be infufficient to infpire confidence, I beg the reader will rather confider the nature of things, than the relations given by m> n without principles or intel¬ ligence, who fancy that they have a right to tyrannize over the inhabitants of every country which they can fubdue. If the people of Madagafcar have fometimes availed themfelves of treachery, they have been forced to it by the tyranny of the Europeans. The weak have no other arms againft the ftrong. Could they 333 ) MAD of defend themfelves by any other means from our artil- lery and bayonets ? They are uninformed and helplefs ; ^ . i and we avail ourfelves of their weaknefs, in order to make them fubmit to our covetoufnefs and caprice. They receive the moft cruel and oppreffive treatment, in return for the hofpitality. which they generoufly be¬ llow on us ; and we call them traitors and cowards, when we force them to break the yoke with which we have been pleafed to load them.” In the fecond volume of Count Benyowfky’s Me¬ moirs and Travels we have the following account of the religion, government, &c. of the people of this ifland. “ The Madagafcar nation believe in a Supreme Be¬ ing, whom they call Zanhare^ which denotes creator of all things. They honour and revere this Being ; but have dedicated no temple to him, and much leis have they fubftituted idols. They make facrificesi by kill¬ ing oxen and Iheep, and they addrefs all thefe libations to God. It has been aflerted, that this nation likewife makes offerings to the devil : but in this there is a de¬ ception ; for the piece of the facrificed beaft which is ufually thrown into the fire is not intended in honour of the devil, as is ufually pretended. This cuftom is very ancient, and no one can tell the true reafon of it. With regard to the immortality of the foul, the Ma¬ dagafcar people are perfuaded, that, after their death, their fpirit w ill return again to the region in w hich the Zanhare dwells; but they by no means admit that the fpirit of man, after his death, can fuffer any evil. As to the diftindion of evil or good, they are perfuad.ed that the good and upright man ftiall be recompenfed, in this life, by a good ftate of health, the conftancy of his friends, the increafe of his fortunes, the obedi¬ ence of his children, and the happinefs of beholding the profperity of his family : and they believe that the wicked man’s fate {hall be the contrary to this.. The Madagafcar people, upon this convidion, when they make oaths, add bentdldions in favour of thofe who keep them, and curfes againft thofe who break them. In this manner it is that they appeal to the judgment of Zanhare, in making agreements ; and it has never been known, or heard of, that a native of Madagafcar has broken his oath, provided it w-as made in the ufual manner, which they fay was preferibed by their fore¬ fathers. “ As to their kings and form of government, &c. the Madagafcar people have always acknowledged the line of Ramini, as that to which the rights of Am- panfacabe or fovereign belongs. They have confider- ed this line as extind fince the death of Dian Rami¬ ni Larizon, which happened 66 years ago, and whofe body was buried upon a mountain, out of which the. river Manangourou fprings; but having acknowledged the heir of this line on the female fide, they re-efta- bliftied this title in the year 1776. The right of the Ampanfacabe confifts in nominating the Rohandrians to aflift in the cabars, at which all thofe who are ci¬ ted are bound to appear, and the judgment of the Am¬ panfacabe in his cabar is decifive. Another preroga* tive of the Ampanfacabe is, that each Rohandrian is obliged to leave him by will a certain proportion, of his property, which the fucceffors ufually purchafa by a flight tribute or fine. Thirdly, The Ampanfa^ cabe has^ a right to exad from each Rohandrian one- tentH. MAD [ tenth of the produce of his land, and a number horned cattle and ilaves, in proportion to the riches of the country poffelfed by each Hohandrian. The fecond order is compofed of the Rohandrians, or princes. Since the lofs of the Ampanfacabe, three of thefe Ro¬ handrians have aflumed the title of kings, namely the Rohandrian of the. province of Mahavelou, named Hiavi ; of the province of Voemar, named Lambouin ; and a third at Bombetoki, named Cimanounpou. The third order confifts.of the Voadziri, or lords of a dif- tnft, compofed of ieveral villages. Xhe fourth order conlids of the Lohavohits, or chiefs of villages. The fifth order, Ondzatzi, who are freemen, compofe the attendants or followers of the Rohandrians, Voadziri or Lohavohits. The fixth order confifts of Ombiaffes’ or learned men •, and this order forms the warriors, workmen, phyficians, and diviners: thefe laft poffefs no charge. The feventh order confifts of Ampurias or flaves. “ Having made inquiries from Bombetoki pafling to the northward, and as far as Itapere, the refult proved that there are 38 Rohandrians adlually reigning, and 287 .Voadziri. With refpeft to the Lohavohits,’Ond¬ zatzi, and Ombiaffes, it was not pofhble to obtain any accurate determination of their number. Thefe or¬ ders preferve a regular gradation, refpedting which it would be very difficult to give a detailed account. They live in the manner we read of concerning the ancient patriarchs. Every father of a family is prieft and judge in.his own houfe, though he depends upon the Lohavohits, who fuperintends his conduct. This laft is anfwerable to his Voadziri, and the Voadziri to the Rohandrian. . ‘‘ 1 he Ma.dagalcar people having no communication with the. main land of Althiopia, have not altered their primitive laws \ and the language throughout the. whole extent of the ifland is the fame. It would be a raffi. attempt to determine the origin of this na¬ tion j it is certain that it confifts of three diftindl races, who have for ages part formed intermixtures which vary to infinity. The firft race is that of Zafe Ibrahim, or defendants of Abraham ; but they have no veftige of Judaifm, except circumcifion, and fume names, fuch as Ifaac, Reuben, Jacob, &c. This race is of a brown colour.—The fecond race is that of Za- feramini : with refpea to this, fome books which are ftill extant among the Ombiafles, affirm that it is not more than fix centuries fince their arrival at Ma. dagafcar,—With refpea to the third race of Zafe Canambou, it is of Arabian extradb'on, and arrived much more lately than the others from the coafts of ./Ethiopia : hence it poffeffes neither power nor cre¬ dit, and fills only the charges of writers, hiftorians, poets, &c. . In regai d to arts and trades, the Madagafcar na¬ tion are contented with fuch as are neceffary to make their moveables., tools, utenfils, and arms for defence ; to conftrudt their dwellings, and the boats which are neceffary for their navigation j and laftly, to fabricate cloths and fluffs for their clothing. They are de- firous only of poffeffing the neceffary fupplies of im- meuiate utility and convenience. The principal and mo ft refpe&ed bufinefs, is the manufa&ure of iron and iteel. I he artifts in this way call themfelves am~ panefa vihe. They are very expert in fufing the ore, 2 334 1 MAD of and forging utenfils, fuch as hatchets, hammers, an- Ma.U.if. vils, knives, fpades, fagayes, razors, pincers, or tweez- can ers for pulling out.the hair, &c. The fecond clals con. fills of the goldtmiths {ompanefa vo/a mena) : they caft gold in ingots, and make up bracelets, buckles, ear¬ rings, drops, rings, &c. The third are called ompaviL langa, and are. potters. The fourth are the ottipanevat- ta, or turners in wood, who make boxes called vatta plates, wooden and horn fpoons, bee hives, coffins, &c! I he fifth otnpan cacajou, or carpenters. They are very expert in this bufinefs, and make ufe of the rule, the plane, the compafles, &c. The fixth are the ompania- vt, or ropemakers. 1 hey make their ropes of different kinds of bark of trees, and likewife of hemp. The fe¬ venth, ampan lamba, or weavers. This bufinefs is per¬ formed by women only, and it would be reckoned dif- graceful in a man to exercife it. The ombiaJJ'es are the literary men and phyficians, who give advice only. The herauvil% are comedians and dancers. “ Ihe Madagafcar people always live in fociety j that is to fay, in towns and villages. The towns are furrounded by a ditch and pallifades (as already men¬ tioned), at the extremities of which a guard of from 12 to 20 armed men is kept. Lhe houles of private peo¬ ple cenfift of a convenient cottage, furrounded by fe- veral fmall ones : the mafter of the houfe dwells in the largeft, and his women or flaves lodge in the fmaller. d hefe houfes are built of wood, covered with leaves of the palm tree or ftraw. “ The houfes of the great men of the country are very fpacious ; each houfe is compofed of two walls and four apartments : round about the principal houfe other fmaller habitations are built for the accommoda¬ tion of the women, and the whole family of the chief j but the Ilaves cannot pafs the night within them.— Moft of the houfes inhabited by the Rohandrians are built with tafte and admirable fymmetry.” The French attempted to conquer and take poffef- fion of the whole ifland, by order, and for the ufe of, their Moft Chriftian Majefties Louis XIII. and XIV. and they maintained a footing on it from the year 1642 to 1657. During this period, by the moft cruel treachery, they taught the native princes the barbarous traffic in Haves, by villanoufly felling to the Dutch go. vernor of Mauritius a number of innocent people, who had been afiifting them in forming a fettlement at Fort Dauphin. . The Abbe Rochon tells us, that the infalubrity of the air in Madagafcar determined his countrymen in 1664 to quit that imm-enfe ifland, in order to eftablifti them¬ felves at fo inconfiderable a place as the ifle of Bour¬ bon, which is fcarcely perceptible in a map of the globe : but it is apparent, from the account of the ftate of the french affairs on the ifland of M^adagafcar, in 1661, when Flacourt’s narrative was publifhed, that their ill treatment of the natives had raifed fuch a ge¬ neral and formidable oppofition to their refidence in the country, that the French were obliged to abandon their poffeflions for other reafons than the unhealthy qualities of the climate. We have not room here for a detail of all the oppreffive meafures of the French, which the abbe himfelf candidly cenfures in the ftrongeft terms ; but fhall extract the following narrative, both becaufe it is interefting in itfelf, and exhibits the caufes and the means of their expulfion. La MAD ladagaf- La Cafe, one of the French officers employed by car• the governor of Fort Dauphin againft the natives, “nr~” was fo fuccefsful in all his enterprifes, that they called hirfi Deaan Pous, the name of a chief who had for¬ merly conquered the whole illand. The French go¬ vernor, jealous of his renown, treated him hardily, and refufed to allow him the rank or honours due to his valour. The fovereign of the province of Amboulle, called Deaan Rafcitat, taking advantage of his difcon- tent, prevailed on him to become his general. Five Frenchmen followed him. Deaan Nong, the daugh¬ ter of Rafcitat, captivated by the perfon and heroifm of La Cafe, offered him her hand with the confent of her father. The chief, grown old, infirm, and arrived at the lad dage of exidence, had the fatisfa&ion of fecuring the happinefs of his fubjedls, by appointing his fon-in-law abfolute mader of the rich province of Amboulle. La Cafe, in marrying Deaan Nong, re¬ fufed to take the titles and honours attached to the fovereign power: he would accept of no other cha- raiffer, than that of the fird fubjeft of his wife, who was declared fovereign at the death of her father. Se¬ cure in the affedlion of this princefs, who was not only poffeffed of perfonal charms, but of courage and great qualities, he was beloved and refpefled by her family, and by all the people of Amboulle, who reve¬ renced him as a father •, and yet, how much foever he widied it, he was unable to contribute to the profperity of his countrymen at Fort Dauphin, whom he knew to be in the utmod didrefs. The governor, regarding him as a traitor, had fet a price on his head, and on the heads of the five Frenchmen who had followed him. The neighbouring chiefs, irritated at this treat¬ ment of a man whom they fo much venerated, unani- moudy refufed to fupply the fort with provifions. This occafioned a famine in the place, which, with a conta¬ gious fever and other maladies, reduced the French gar- rifon to 80 men. The edablilhment at Fort Dauphin, on the point of being totally dedroyed, was preferved for a diort time from ruin by the arrival of a veffel from France, commanded by Kercadio an officer of Britanny, who, with the affidance of a young advocate who had been kidnapped on board the veffel, prevailed on the envi¬ ous and implacable governor Chamargou to make peace with La Cafe and his fovereign fpoufe Deaan Nong. This peace, however, laded but for a diort time ; the French, redlefs and infolent to the neigh¬ bouring nations, again drew on them the vengeance of the natives. Even the few friends whom they had been able to acquire by means of La Cafe, were ren¬ dered hodile to them by the tyrannic zeal of the mif- lionaries •, who, not contented with being tolerated and allowed to make converts, infided on Deaan Ma- nang, fovereign of Mandrarey, a powerful, courageous, and intelligent chief, well difpofed to the French, to divorce all his wives but one. This prince, not con¬ vinced of the neceffity of fuch a meafure, affured them that he was unable to change his habits and way of living, which were thofe of his forefathers. “ You w mid allow me (fays he) to have one v ife ; but if the poffeffion of one woman is a bleffing, why diould a numerous feraglio be an evil, while peace and con¬ cord reign among thofe of whom it is compofed ? Do you fee among us any indications of jealoufy or- MAD hatred ? No, all our women are good 5 all try to make Madag^f- me happy ; and I am more their dave than their maf- ‘jff ter.” This fpeech had no ed'ect on Father Stephen, jyjaje;ras. fuperior of the Madagafcar miffion. He perempto- v. rily ordered him indantly to repudiate all his wives except one ; and threatened,' in prefence of the wo¬ men, to have them taken from him by the French foldiers, if he helitated in complying with his com¬ mands. It is eafy to imagine, fays M. Rochon, with what indignation this language mud have been heard in the donac or palace of this prince. The females af- failed the miffionary on all fides •, loaded him w ith ex¬ ecrations and blows ; and in their fury, would doubt- , lefs have afforded him no more quarter than the Thra¬ cian women did Orpheus, if Deaan Manang, notwith- danding his own agitation, had not made ufe of all his authority to fave him. In order to free himfelf from the perfecution of this pried, he removed with his family 70 or 80 miles up into the country j but he was foon followed by Father Stephen and another miffionary, with their attendants. The chief, Manang, dill received them civilly ; but he intreated them no longer to infid on the converfion of him and his people, as it was impodible to oblige them to quit the cudoms and manners of their ancedors. The only reply which Father Stephen made to this intreaty, was by tearing off the o/V, and the amulets and charms which the chief wore as facred badges of his ow n religion ; and, throwing them into the fire, he declared war againd him and his nation. This violence indantly cod him and his followers their lives : they w7ere all maffacred by order of Manang, who vowed the dedrvndion of all the French in the illand j in which intention he proceeded in a manner that has been re¬ lated by an eye-witnefs, who was aftenvards provincial commiffary of artillery, in a narrative publidied at Lyons in 1722, entitled, Voyage de Madagafcar. “ Our yoke (fays the Abbe Rochon) was become odious and infupportable. Hidorians, for the honour of civilized nations, diould bury in oblivion the affli&ing narratives of the atrocities exercifed on thefe people, whom we are pleafed to call barbarous, treacherous, and deceit¬ ful, becaufe they have revolted againd European ad¬ venturers, whofe lead crime is that of violating the fa¬ cred rites of hbfpitality.” It was about the year 1672 that the French were totally driven from the ifiand of Madagafcar j and no confiderable attempts were made to form freffi edablilh- ments there till within theie few years, by M. de Mo- dave, and by Count Benyowfki ; neither of which was attended with fuccefs, for reafons given by the Abbe, but w hich we have not room to detail. MADDER, a plant ufed in dyeing. See Rubia, Botany Index; and for its dyeing properties, fee Dyeing. MADEIRAS, a cluder of iflands fituated in the Atlantic ocean in W. Long. T 6°, and between 32° and ! 330 N. Lat.—The larged of them, called Madeira^ from which the red take their name, is about 55 Engliffi miles long, and 10 miles broad j and was fird difcovt red on the 2d of July, in the year 1419, by Joao Gonzales Zarco, there being no hitlorical founda¬ tion for the fabulous report of its difcovery by one Machin an Enghdiman. It is divided into two capi- tanias, named Funchal and Mexico, from the tow ns of thofe c [ 335 1 M AD [ Mi&cieirgs. thofe names. The former contains two judicatures, vfz. L" Funchal and Galhetta ; the latter being a town with the title of a county, belonging to the family of Caftello Melhor. The fecond capitania likewife comprehends two judicatures, viz, Maxico (read Malhico) and San Vicente. Funchal is the only citadel or city in the ifland, which has alfo feven villas or towns 5 of which there are four, Calhetta, Camara de Lobos, Ribeira Braba, and Ponta de Sol in the capitania of Funchal, which is divided into 26 parilhes. The other three are in the capitania of Maxico, which confilts of 17 parilhes; thele towns are called Massico, San Vicente, and Santa •Cruz. ihere is one curiofity in the town of Funchal, which deferves to be taken notice of, and that is a chamber in one of the corners of the Francifcan convent, the walls and ceiling of which are completely covered w ith rows of human Ikulls and human thigh bones, fo ar¬ ranged that in the obtufe angle made by each pair of the latter, eroding each other obliquely, is placed a fkull. 1 he only vacant fpace that appears is in the centre of the fide oppofite to the door, on which there is an extraordinary painting above a kind of altar, but what the fubje£l it is intended to reprelent, it is difficult to determine. A figure probably intended for St Fran¬ cis, the patron faint, feems to be intent on trying in a balance the comparative wreight of a finner and a faint. A dirty lamp fufpended from the ceiling, and juft glim¬ mering in the focket, ferves dimly to light up this dif- mal den of Ikulls. The monk who attends as fhew'- man, is careful to imprefs on the minds of thofe who vifit it, the idea that they are all relicks of holy men who died on the ifland, although Mr Barrow is of opi¬ nion that the church-yard muft have been frequently robbed, in order to accumulate fuch a prodigious num¬ ber of fkulls, which from a rough computation made by that gentleman, could not be under 3000. The governor is at the head of all the civil and mi¬ litary departments of this ifland, of Porto-Santo, the Salvages, and the Ilhas Defartas; which laft only con¬ tain the temporary huts of feme filhermen, who refort thither in purfuit of their bufinefs ; his falary is com¬ puted to be w'orth 2000I. per annum, 200I. of which is in the form of a prefent from the Englifti mer¬ chants. The law department is under the corregidor, who is appointed by the king of Portugal, commonly fent from Lifbon, and holds his place during the king’s pleafure. All caufes come to him from inferior courts by appeal. Each judicature has a fenate j and a Jui% or judge, whom they choofe, prefides over them. At Funchal he is called Juvz da Fora; and in the ab¬ sence, or after the death ef the corregidor, afts as his deputy. The foreign merchants eleft their own judge, called the Providor, who is at the fame time collector of the king’s cuftoms and revenues, which amount in all to about X2,ocol. fterling. Far the greateft part of this fum is applied towards the fala- ries of civil and military officers, the pay of troops, and the maintenance of public buildings. This revenue arifes, firft from the tenth of all the produce of this itland belonging to the king, by virtue of his office as grand matter of the order of Chrift ; fecondly, From ten per cent, duties laid on all imports, provifions ex- 336 ] MAD cepted ; and laftly, From the eleven per cent, charged Madeira? on all exports. ^ The ittand has but one company of regular foldiers of 100 men : the reft of the military force is a militia confifting of 3000 men, divided into companies, each commanded by a captain, who has one lieutenant un¬ der him and one enfign. There is no pay given to either the private men or the officers of this militia j and yet their places are much fought after, on account of the rank which they communicate, 'ihefe troops are embodied once a~year, and exercifed once a-month. All the military are commanded by the Serjcante M6r. The governor has two Capitanos de Sal about him, who do duty as aides-de-camp. The fecular priefts on the ifland are about 1200, many of whom are employed as private tutors. Since the expulfion of the Jefuits, no regular public fehool is to be found here ; unlefs we except a feminary, where a prieft, appointed for that purpofe, inftrudts and educates ten ftudents at the king’s expence. Thefe wear a red cloak over the ufual black gowns worn by ordinary ftudents. All thofe who intend to go into orders, are obliged to qualify themfelves by ftudy- ing in the univerfity of Coimbra, lately re-eftabliftied in Portugal. There is alfo a dean and chapter at Ma¬ deira, with a bilhop at their head, w hofe income is con- fiderably greater than the governor’s j it conlifts of 110 pipes of wine, and of 40 muys of wheat, each con¬ taining 24 buffiels} which amounts in common years to 3000I. fterling. Here are likewife 60 or 70 Fran¬ cifcan friars, in four monafteries, one of which is at Funchal. About 300 nuns live on the iftand, in four convents, of the order of Merci, Sta Clara, Incarnacao, and Dom Jeius. Thofe of the laft-mentioned inilitu- tion may marry whenever they choofe, and leave their monaftery. In the year 1768, the inhabitants living in the 43 parillies of Madeira, amounted to 63,913, of whom there were 31,341 males and 32,572 females. But in that year 5243 perfons died, and no more than 2198 children were born j fo that the number of the dead exceeded that of the born by 3045. It is high¬ ly probable that fome epidemical diitemper carried off fo difproportionate a number in that year, as the ifland would fhortly be entirely depopulated if the mortality were always equal to this. Another cir- cumftance concurs to ftrengthen this fuppofition, name¬ ly, the excellence of the climate. The weather is in general mild and temperate : in fummer, the heat is very moderate on the higher parts of the ifland, whither the better fort of people retire for that feafon ; and in the winter the fnow remains there for feveral days, whilft it is never known to continue above a day or two in the lower parts. The common people of this ifland are of a fawney colour, and well fliaped ; though they have large feet, owing perhaps to the efforts they are obliged to make in climbing the craggy paths of this mountainous country. Their faces are oblong, their eyes dark ; their black hair naturally falls in ringlets, and begins to crifp in fome individuals, which may perhaps be owing to intermarriages with negroes ; in general, they are hard featured, but not difagreeable. Their women are too frequently ill-favoured, and want the florid complexion, which, w hen united to a pleafing affem- blage MAD [ 337 1 MAD 'fuleira?. blage of regular features, gives our northern fair ones the polite world about half a century ago. ^ ' theiuperiority over all their fex. They are fmall, have prominent cheek bones, large feet, an ungraceful and the colour of the darkeft brunette. The gait, — juft proportion of the body, the fine form of their hands, and their large lively eyes, feem in fome mea- fure to compenfate for thole defeats. The labour¬ ing men, in fummer, wear linen trowfers, a coarfe fhirt, a large hat, and boots ; fome have a {hurt jacket made of cloth, and a long cloak, which they fome- times carry over their arm. The women wear a pet¬ ticoat, and a Ihort corfelet or jacket, clofely fitting their lhapes, which is a Ample, and often not an in¬ elegant drefs. They have alfo a Ihort but wide cloak j and thofe that are unmarried tie their hair on the crown of their head, on which they wear no co¬ vering. ' The country people are exceeding fober and frugal j their diet in general confifting of bread and onions, or other roots, and little animal food. However, they avoid eating tripe, or any offals, becaufe it is proverbially faid of a very poor man, “ He is reduced to eat tripe.” Their common drink is water, or an infufion of the remaining rind or Ikin of the grape (after it has paffed through the wine prefs), which when fermented acquires fome tartnefs and acidity, but cannot be kept very long. The wine for which the illand is fo famous, and which their own hands prepare, feldom if ever regales them. Their principal occupation is the planting and raif- ing of vines j but as that branch of agriculture re*, quires little attendance during the greateft part of the year, they naturally incline to idlenefs. The warmth of the climate, which renders great provifion againft the inclemencies of weather unneceffary, and the eafe with which the cravings of appetite are fatisfied, muff tend to indolence, wherever the regulations of the legiflature do not counteraft it, by endeavouring, with the profpeft of increafing happinefs, to infufe the fpi- rit of induftry. It feems the Portuguefe government does not purfue the proper methods againft this dan¬ gerous lethargy of the ftate. They have lately order¬ ed the plantation of olive trees here, on fuch fpots as are too dry and barren to bear vines j but they have not thought of giving temporary affiftance to the la¬ bourers, and have offered no premium by which thefe might be induced to conquer their reludtance to inno¬ vations and averfion to labour. The vineyards are held only on an annual tenure, and the farmer reaps but four-tenths of the produce, fince other four-tenths are paid in kind to the owner of the land, one-tenth to the king, and one to the clergy. Such fmall profits, joined to the thought of toiling merely for the advantage of others, if improve¬ ments were attempted, entirely preclude the hopes of a future increafe. Oppreffed as they are, they have however preferved a high degree of cheerfulnefs and contentment $ their labours are commonly alleviated with fongs, and in the evening they affemble from different cottages to dance to the drowfy mufic of a guitar. The inhabitants of the towns are more ill-favoured than the country people, and often pale and lean. The men wear French clothes, commonly black, which do not feem to fit them, and have been in falhion in Vol. XII. Part I. Their ladies Madeira are delicate, and have agreeable features: but the charafteriftic jealoufy of the men ftill locks them up, and deprives them of a happinefs which the country women, amidft all their diftreffes, enjoy. Many of the better people are a fort of petite nobleJJey which we would call gentry, whofe genealogical pride makes them unfociable and ignorant, and caufes a ridiculous affec¬ tation of gravity. The landed property is in the hands of a few ancient families, who live at Funchal, and in the various towns on the illand. Madeira confifts of one large mountain, whofe branches rife everywhere from the fea towards the centre of the illand, converging to the fummit, in the midft of which is a depreflion or excavation, called the Val by the inhabitants, always covered with a freih and delicate herbage. The rocks of Madeira are vefi- cular, of a blackilh colour, and by fome naturalifts are fuppofed to have had a fimilar origin with lava. A few of them are of the kinl which the DerbyIhire miners call dunjlone. The ioil of the whole illand is a tayras mixed with fome particles of clay, lime, and fand, and has much the fame appearance as fome earths on the ille of Afcenfion. From this circumftance, and from the excavation of the fummit of the mountain, it is probable, that in fome remote period a volcano has produced the lava and the ochreous particles, and that the Val was formerly its crater. Many brooks and fmall rivulets defcend from the fummits in deep chafms or glens, which feparate the various parts of the illand. 1 he beds of the brooks are in fome places covered with ftones of all fizes, carried down from the higher parts by the violence of winter rains or floods of melted fnow. The water is conduct¬ ed by wears and channels in the vineyards, where each proprietor has the ufe of it for a certain time j fome being allowed to keep a conftant fupply of it, fome to ufe it thrice, others twice, and others only once a- week. As the heat of the climate renders this fupply of water to the vineyards abfolutely neceffary, it is not without great expence that a new vineyard can be planted •, for the maintenance of which, the owners muft purchafe water at a high price, from thofe who are conftantly fupplied, and are thus enabled to fpare fome of it. Wherever a level piece of ground can be contrived in the higher hills, the natives make plantations of ed- does, enclofed by a kind of dykeftto caufe a ftagnation, as that plant fucceeds belt in fwampy ground. Its leaves ferve as food for hogs, and the country people ufe the roots for their own nourilhment. The fweet potato is planted for the fame purpofe, and makes a principal article of diet; together with chefnuts, which grow in extenfive woods, on the higher parts of the ifland, where the vine will not thrive. Wheat and barley are likewife fown, efpecially in fpots where the vines are decaying through age, or where they are newly planted. But the crops do not produce above three months provifions j and the in¬ habitants are therefore obliged to have recourfe to other food, befides importing confiderable quantities of corn from North America in exchange for wine. The want of manure, and the ina&ivity of the people, are in fome meafure the caufes of this difadvantage} but fuppofing hulbandry to be carried to its perfection U u here, M A ^ f 333 ] M ^f^ras. here, they could not raife corn fufficient for their con- likewife found at Madeira lumption. Ihey make their threfliing-floors of a cir¬ cular form, in a corner of a field, which is cleared and beaten fo id for the purpofe. The fheaves are laid round about it; and a fquare board, ftuck full of fharp flints below, is dragged over them by a pair of oxen-, the driver getting on it to increafe its weight. This machine cuts^ the ftraw as if it had been chopped, and frees the grain from the hulk, from which it is after¬ wards feparated. The great produce of Madeira is the wine, from which it has acquired fame and fupport. Where the foil, expofure, and fupply of water, will admit of it, the vine is cultivated. One or more walks, about a yard or two wide, interfeft each vineyard, and are included by done walls two feet high. Along thefe walks which are arched over with laths about feven \feet high, they ere£t wooden pillars at regular di- ftances, to iupport a lattice-work of bamboos, which dopes down from both Tides of the walk, till it is only a foot and a half or two feet high, in which elevation it extends over the whole vineyard. "1 he vines aue in this manner fupported from the ground, and thepeo- ple have room to root out the weeds which fpring up between them. In the feafon of the vintage, they cieep under this lattice-work, cut off the grapes, and lay them into bafkets: fome bunches of thefe grapes weigh fix pounds and upwards. This method of keep¬ ing the ground clean and moift, and ripening the grapes in the {hade, contributes to give the Madeira wines that excellent flavour and body for which they are re- markable. The owners of vineyards are however obliged to allot a certain fpot of ground for the growth of bamboos j for the lattice work cannot be made with¬ out them : and it is faid fome vineyards lie quite ne- gle&ed for want of this ufeful reed. The wines are not all of equal goodnefs, and con- lequently of different prices. The beft, made of a vine imported from Candia by order of the Infante of Portugal, Don Henry, is called Madeira Malmfiy, a pipe of which cannot be bought on the fpot for lefs than 40I. or 42I. fterling. It is an exceeding rich iweet wine, and is only made in a fmall quantity. The next fort is a dry wine, fuch as is exported for the Lon¬ don market, at 30I. or 31I. fterling the pipe. Inferior forts for the Eaft India, Weft India, and North Ameri¬ can markets, fell at 28I. 25I. and 20]. fterling. About .30,000 pipes, upon a mean, are made every year, each containing no gallons. About 13,000 pipes of the better forts are exported: and all the reft is made into brandy for the Brazils, converted into vinegar, or con- fumed at home. The jargeft quantity of this article exported in the courfe of one year, is laid to have amounted to 15,000 pipes, valued at 500,000!. of which 5500 pipes were fent to the Eaft Indies, 4500 to England, 3000 to the Weft Indies, and 2000 to America. The enclosures of the vineyards confift of walls, and hedges of prickly pear, pomegranates, myrtles, bram¬ bles, and wild rofes. 'I he gardens produce peaches, apricots, quinces, apples, pears, walnuts, chefnuts, and many other European fruits ; together with now and then fome tropical plants, fuch as bananas, goavas, and pine-apples. AH the common domeftic animals of Europe are 3 A D and their mutton and beef, Madeir- though fmall, is very well tafted. Their horfes are fl finally but fure-footed j and with great agility climb Madrid* the difficult paths, which are the only means of com- ‘"""“V'""" munication in the country. They have no wheel-car¬ riages of any kind : but in the town they ufe a fort of drays or fledges, formed of two pieces of plank joined by crofs pieces, which make an acute angle be¬ fore ; thefe are. drawn by oxen, and are ufed to tranf- port calks of wine, and other heavy goods, to and from the warehoufes. The animals of the feathered tribe, which live wild here, are more numerous than the wild quadrupeds j there being only the common gray rabbit here, as a reprefentative of the laft-mentioned clafs. Tame birds, fuch as turkeys, geefe, ducks, and hens, are very rare* which is perhaps owing to the fcarcity of corn. I here are no fnakts whatfoever in IMadeira ^ but all the houfes, vineyards, and gardens, {'warm with liz¬ ards. 1 he friars of one of the convents complained to Mr.Forfter, that thefe vermine deftroyed the fruit in their garden; they had therefore placed a brafs- kettle in the ground to catch them, as they are con- ftantly running about in queft of food. In this man¬ ner they daily caught hundreds, which could not get out on account of the fmooth fides of the kettle, but were forced to perifti. Ihe ftiores of Madeira, and of the neighbouring Salvages and Defertas, are not without fifli; but as they are not in plenty enough for the rigid obfervance of Lent, pickled herrings are brought from Gotten- burg in Englifli bottoms, and falted cod from New York and other American ports, to fupply the defici¬ ency. MADIAN, in Ancient Geography,Arabia Petraea, near the Arnon $ fo called from one of the fons of Abraham by Ketura j in ruins in Jerome’s time. Jerome mentions another Madian, or Midian, beyond Arabia, in the defert, to the fouth of the Red lea ; and henee Madiancei, and Madianikei, the people j and Madiancea Regio, the country. MADNESS, a moft dreadful kind of delirium, without fever. See Medicine Index. MADRAS. See St George. MADRE de Popa, a town and convent of South America, in Terra Firma, feated on the river Grande, It is almoft as much reforted to by pilgrims of Ame¬ rica as Loretto is in Europe j and the image of the Virgirt Mary is faid to have done many miracles in favour of the feafaring people. W« Long. 76. o. N, Lat. 11. o. MADREPORA, in Natural Hi/lory, the name of a genus of fubmarine {ubftances j belonging to the order lithophyta. See Helminthology Index. MADRID, a town of New Caftile in Spain, and capital of the whole kingdom, though it never had the title of a city, is fituated in W. Long. 3. 5. N. Lat. 40. 26. It Hands in the centre of a large plain, fur- rounded with mountains, and in the very heart of Spain,.on the banks ef the little river Manzanares, which is always very low and {hallow, except when it is fwelled by the melting of the fnow on the mountains. The city is in general well laid out; the ftreets are very handfome j and the houfes are fair and lofty, but built of brick, with lattice-windows, excepting thofe of the sieb,. M A D Madrid, rich, who have glafs in their windows ; only, during -n/ ' the fummer heats, they ufe gauze, or fome fuch thin fluff, inftead of it, to let in the frefti air. There are two flately bridges here over the Manzanares, a great many magnificent churches, convents, hofpitals, and palaces. The royal palace, which ftands on the weft fide of the town, on an eminence, is fpacious and mag¬ nificent, confifting of three courts, and commanding a fine profpeft. At the eait end of the town is the pra- do, or pardo j which is a delightful plain, planted with regular rows of poplar trees, and watered with a great many fountains •, where the nobility and gentry take the air on horfeback, or in their coaches, and the com¬ mon people on foot, or divert themfelves with a variety of fports and exercifes. Almoft all the ftreets of Ma¬ drid are ftraight, wide, clean, and well paved. The largeft and moft frequented are the ftreet of Alcala, that of Atocha, that of Toledo, and the Ca//e Grande or great ftreet. Madrid has alfo feveral fquares, which in general are not very regular. The principal are thofe of San Joachim, Sol, Lafganitas, San Domingo, La Cevado, and the Plaza Mayor. The latter efpe- cially deferves notice for its fpacioufnefs and regularity, and the elegant and lofty houfes it contains. It is 1536 feet in circuit. The houfes, of which there are 136, are of five ftories, ornamented with balconies ; the firft of which, fupported by pillars, forms a piazza round the fquare, where the inhabitants may w'alk under co¬ ver. In the middle of the fquare a market is kept.— The ftreets and fquares of Madrid, except the Plaza Mayor which has been juft defcribed, are ornamented with fountains in a very ill tafle. Thofe moft to be diftinguiihed in this particular are the fountain of the fmall irregular fquare called Plaza di Antonio Martin, and that of the fquare named Puerto del S&l. The others are not more magnificent, though lefs ridiculous. The water of all thefe fountains is excellent •, and the air of Madrid, though the w eather be variable and un¬ certain, is extremely pure. It was this purity of the air and excellent quality of the water which induced Philip II. and his fucceffors to fix their refidence in this city. It is alfo well fupplied with provifions of all kinds at reafonable rates j and the court, with the refort and refidence of the quality, and the high colleges and of¬ fices that are kept here, occafion a bulk trade and cir¬ culation of money. The facred edifices in this city have nothing remark¬ able in their archite&ure 5 thofe of St Pafqual, St Ifa- bella, and the Carmelites, contain highly valuable col- leftions of pictures, which may be feen with admiration even after the paintings of the Efcurial and the new- pa¬ lace. The church of St Ifidro, which heretofore be¬ longed to the Jefuits, has a portal which has efcaped the contagion of the age in which it was built. There is another church much more modern, which on ac¬ count of its mafs has a venerable appearance, but which true tafte may juftly difavow : it is that of St Saiefas, or the Vifitation, founded by Ferdinand VI. and the queen Barbara his wife.—The convent of St Francis Bourgo- has already been fome years building *f and there are hopes that it will become one of the fineft productions of architecture in the capital.—Befides a variety of cha¬ ritable foundations, there are here three confraternities, the revenues of which are appropriated to the fuccour of,the wretched } and an inftitution fimilar to the Mont [ 339 1 MAD ine't Tra els in >ain, 17S9 de Piete in Paris, the principal objeCt of which is to ad¬ vance money to the neceflitous. The city of Madrid contains 15 gates, 18 parifties, 35 convents of monks, and 31 of nuns •, 39 colleges, hofpitals, or houfes of charity ; 7398 dwelling houfes, and about 160,000 inhabitants. The Lombard tra¬ veller, Father Caimo, tells us, that 50,000 theep and 12,000 oxen are annually confumed there ; to which his editor has added a ludicrous eftimate of the onions and leeks devoured there, which he fays amount to 970000000000000000000000000000045. But this writer (M. Bourgoanne obferves) would not at pre- fent have any reafon to complain of the difagreeable fmells of the ftreets, nor would he find all the per¬ fumes of Arabia neceffary to defend himfelf from them. By the vigilance of the modern police, for which (M. Bourgoanne informs us) it is indebted to the Count d’Aranda, it is rendered one of the cleaneft cities in Europe. There are four academies in Madrid : The firft is the Spaniih academy, founded in 1714, in imitation of the French academy, and confifting of 24 members, including the prefident. Its device is a crucible on burning coals, with the motto limpia, Jixa, y da efplen- der; “ it purifies, fixes, and gives luftre.” Its firft obje£t was the compilation of a dictionary of the Spa¬ niih language, which was publifhed in fix volumes folio, and of which a new edition, with great additions, has been lately put to the prefs. The fame academy is alfo employed on a fuperb edition of Don Ouixotte, adorned with elegant engravings far fupe'iior to the laft, and collated with all the former editions. The fecond is the academy of hiflory ; which owes its ori¬ gin to a fociety of individuals, the objeCt of whofe meetings was to preferve and illuftrate the hiftorical monuments of the kingdom of Spain. Their labours met the approbation of Philip V. who in 1738 con¬ firmed the ftatutes by a royal cedula. This academy confifts of 24 members, including the prefident, fecre- tary, and cenfor. Its device is a river at its fource ; and the motto, In patriampopulumqueJhiit. The other twro- academies are, the academy of the fine arts, painting, fculpture, and architecture ; and the aca¬ demy of medicine. The latter is held in no great efteem. The environs bf Madrid contain feveral royal feats ; among which are El Buen Retiro, Cafa del Campo, Florida, Le Pardo Sarfuela, and St Ildefonfo ; but the moft magnificent not only in this country but perhaps in the whole world is the Efcurial, which takes its name from a fmall village near which it ftands, about 22 miles north-weft from Madrid ; and of which a de- feription is given under the article EscuRiAL. Ano¬ ther royal palace, greatly admired, particularly for its delicious gardens and furprifing water-works, is Aran- juez, which is fituated on the Tagus, about 30 miles fouth of Madrid. See Aranjuez. MADRIGAL, a fhort amorous poem, compofed of a number of free and unequal verfes, neither confined to the regularity of a fonnet, nor to the point of an epi¬ gram ; but only confifting of fome tender and delicate thought, expreffed w ith a beautiful, noble, and elegant fimplicity. Menage derives the word from tnandra, which in Latin and Greek, fignifies “ a ftieep-fold imagining U u 2 ' • it Madrid, Madrigal* MAE [ 340 ] MAE Madngal it to have been originally a kind of paftoral or Ihep- Msecenas ^er(^,s ^onS > whence the Italians formed their tnadri- 1- Sa^ei and we madrigal. Others rather choofe to derive it from the word madrugar, which in the Spanilh lan¬ guage lignifies “ to rife in the morning $” the madri- gales being formerly fung early in the morning by thofe who had a mind to ferenade their miftreffes. MADURA, a province of Alia, in the peninfula on this fide the Ganges $ bounded on the eaft by Tanjour and Marava, on the fouth-ealt by the fea, on the weft by the Balagate mountains, which feparate it from Ma¬ labar, and on the north by Vifiapour and Carnate. The inhabitants are Gentoos, and of a thievifh difpofi- tion. The commodities are rice, elephants teeth, and cotton cloth ; of which laft a great deal is made here, and very fine. At this place is a pearl filhery, which brings in a large fum annually. MMEANDER, in Ancient Geography, a celebrated river of Afia Minor, riling near Celsenae. It flows through Caria and Ionia into the iEgean fea between Miletus and Priene, after it has been increafed by the waters of the Mariyas, Lycus, Eudon, Lethaeus, &c. It is celebrated among the poets for its windings, which amount to not lefs than 600, and from which all obli¬ quities have received the name of mceanders. It forms in its courfe, according to the obfervation of fome tra¬ vellers, the Greek letters « £ | s & «j and from its windings Daedalus is faid to have had the firft idea of his famous labyrinth. MtEA'I^/E, anciently a people of Britain, near Se- verus’s wall, inhabiting the diftridt now called Lauder¬ dale, in Scotland. MAECENAS, Caius Cilnius, the great friend and counfellor of Auguftus Caefar, was himfelf a very polite fcholar, but is chiefly memorable for having been the patron and protedtor of men of letters. He was de- Icended from a moft ancient and illuftrious origin, even from the kings of Hetruria, as Horace often tells us $ but his immediate forefathers Avere only of the equef- trian order. He is fuppofed to have been born at Rome, becaufe his family lived there j but in what year, anti¬ quity does not tell us. It fays as little about his educa¬ tion } but we know it muft have been of the moft libe¬ ral kind, and perfedtly agreeable to the dignity and Iplendour of his birth, fince he excelled in every thing that related to arms, politics, and letters. How Mae¬ cenas fpent his younger years is alfe unknown to us, any farther than by effedts ; there being no mention made of him by any writer before the death of Julius Crefar, which happened in the year of Rome 709. Then Odlavius Caefar, who was afterwards called Au- gujlus, went to Rome, to lake pofieffion of his uncle's inheritance j and then Maecenas became firft publicly known, though he appears to have been Auguftus’s in¬ timate friend, and as it fhould feem guardian, from his childhood. From that time he accompanied him through all his fortunes, and was his counfellor and advifer upon all occaiions *, fo that Paedo Albinovanus juftly called him Ccefaris dextram, “ CaefaFs right- hand.” In A. R. 710, the year that Cicero was killed and Ovid born, Maecenas diftinguilhed himfelf by his cou¬ rage and military Ikill at the battle of Modena, where the confuls Hirtius and Panfa were flain in fighti. g agaimi Antony 5 as he did afterwards at Philippi, I After this laft battle began the memorable friendfliip Macenaj. between Maecenas and Horace. Horace, as Suetonius relates, Avas a tribune in the army of Brutus and Caf- fius, and upon the defeat of thofe generals made a pri- foner of war. Maecenas, finding him an accompliflied man, became immediately his friend and protedlor j and afterwards recommended him to Auguftus, Avho reftored him his eftate with no fmall additions. In the mean time, though Maecenas behaved himfelf well as a foldier in thefe and other battles, yet his principal province was that of a minifter and counfellor. He was the advifer, the ipanager, the negociator, in every thing that related to civil affairs. When the league was made at Brundufium between Antony and Au¬ guftus, Maecenas was lent to aft on the part of An- guftus. This we learn from Horace in his journey t© Brundufium: Hue venturus erat Maecenas optimus, atque Cocceius, mijji magnis de rebus uterque Legati, averfos foliti componere amicos. Sat. v. lib. I. And afterwards, Avhen this league was near breaking, through the fufpicions of each party, Maecenas was fent to Antony to ratify it anew. In the year 717, when Auguftus and Agrippa went to Sicily to fight Sextus Pompeius by fea, Maecenas went with them $ but foon after returned to appeafe fome commotions which were rifing at Rome : for though he ufually attended Auguftus in all his military expeditions, yet whenever there was any thing to be done at Rome either with the fenate or people, he was always deipatched thither for that purpofe. Upon the total defeat of Antony at Aftium, Maece¬ nas returned to Rome, to take the government into his hands, till Auguftus could fettle fome neceffary affairs in Greece and Afia. Agrippa foon followed Maecenas $ and when Auguftus arrived, be placed theie two great men and faithful adherents, the one ever his civil, the other over his military concerns. While Auguftus was extinguilhing the remains of the civil war in Afia and Egypt, young Lepidus, the fon of the triumvir, was forming a fcheme to affaflinate him at his return to Rome. This confpiracy was difeovered at once, by the extraordinary vigilance of Maecenas \ who, as Velleius Paterculus fays, “ obferving the rafti councils of the headftrong youth with the fame tranquillity and calm- nefs as if nothing at all had been doing, inftantly put him to death, without the leaft noife and tumult; and by that means extinguiftied another civil war in its very beginning.” The civil wars being now at an end, Auguftus re¬ turned to Rome j and from this time Maecenas indulged himfelf at vacant hours in literary amufements, and the converfation of men of letters. In the year 734 Virgil died, and left Auguftus and Maecenas heirs to what he had. Maecenas was exceflively fond of this poet, Avho, of all the w'its of the Auguftan age, flood higheft in his efteem j and if the Georgies and the Aineid be owing to the good tafte and encouragement of this patron, as there is fome reafon to think, pofterity cannot comme¬ morate him with too much gratitude. Horace may be ranked next to Virgil in Maecenas’s good graces : avc have already mentioned how and at what time their friendlhip commenced. Propertius alfo acknowledges Maecenas for his favourer and proteftor, lib. ii. eleg. 7. MAE [ 341 ] MAE tecenas. Nor muft Varius be forgot, though we have nothing of •—"v his remaining j fmce we find him highly praifed by both Virgil and Horace. He was a writer of tragedies j and Quintilian thinks he may be compared with any of the ancients. In a word, Maecenas’s houfe was a place of refuge and welcome to all the learned of his time •, not only to Virgil, Horace, Propertius, and Varius, but to Fundarius, whom Horace extols as an admirable writer of comedies ; to Fufcus Ariftius, a noble grammarian, and Horace’s intimate friend j to Plotius Tucea, who affiiled Varius in corre&ing the HLneid after the death of Virgil; to Valgius, a poet and very learned man, who, as Pliny tells us, dedicated a book to Auguftus, De ufu Herbarum ,• to Afinius Pollio, an excellent tra¬ gic writer j and to feveral others, whom it would be tedious to mention. All thefe dedicated their works, or fome part of them at lead, to Maecenas, and cele¬ brated his praifes in them over and over : and we may obferve farther, what Plutarch tells us, that even Au¬ guftus himfelf infcribed his Commentaries to him and to Agrippa. Maecenas continued in Auguftus’s favour to the end of his life, but not uninterruptedly. Auguftus had an intrigue with Maecenas’s wife : and though the minifter bore this liberty of his mafter very patiently, yet there was a coldnefs on the part of Auguftus, which, how¬ ever, foon went off. Maecenas died in the year 745 j but at what age we cannot precifely determine, though we know he muft have been old. He muft have been older than Auguftus, becaufe he was a kind of tutor to him in his youth : and then find him often called on old man by Paedo Albinovanus, a contemporary poet, W'hofe elegy upon his dead patron is ftill extant. He made Auguftus his heir j and recommended his friend Horace to him in thofe memorable laft words, “ Hota- tii Flacci, ut mei, tnemor efto” &.c. Horace, how¬ ever, did not probably furvive him long, as there is no elegy of his upon Maecenas extant, nor any account of one having ever been written, which there certainly would have been had Horace furvived him any time. Nay, Father Sanadon, the French editor of Horace, will have it, that the poet died before his patron ; and that thefe laft w'ords were found only in Maecenas’s will, which had not been altered. Maecenas is faid never to have enjoyed a good ftate of health in any part of his life: and many Angularities are related of his bodily conftitution. Thus Pliny tells us, that he was always in a fever j and that, for three years before his death, he had not a moment’s fleep. Though he was certainly an extraordinary man, and pofleffed many admirable virtues and qualities, yet it is agreed on all hands, that he was very luxurious and ef¬ feminate. “ Maecenas (fays Velleius Paterculus) was of the equeftrian order, but fprung from a moft illuf- trious origin. He was a man, who, when bufinefs re¬ quired, was able to undergo any fatigue and w atching j who confulted properly upon all occafions, and knew' as well how to execute what he had confulted ; yet a man whojn feafons of leifure was luxurious, foft, and effe¬ minate, almoft beyond a woman. He was no lefs dear to Csefar than Agrippa, but diftinguithed by him with fewer honours j for he always continued of the equef¬ trian rank, in which he was born: not that he could not have been advanced upon the leaft intimation, but he never folicited it.” But let moralifts and politicians determine of Mcece- Maecenas, nas as they pleafe, the men of letters are under high Maelftrom, obligations to celebrate his praifes and revere his memo¬ ry : for he countenanced, protected, and fupported, as far as they wanted his fupport, all the wits and learn¬ ed men of his time; and that too, out of a pure and difinterefted love of letters, when he had no little views of policy to ferve by their means : whence it is no w onder, that all the proteftors and patrons of learning, ever fince, have ufually been called Maecenas's. MAELSTROM, a very dangerous whirlpool on the coaft of Norw-ay, in the 68th degree of latitude, in the province of Nordland, and the diftrift of Lofoden, and near the ifiand of Mofkoe, from whence it alfo takes the name of MoJkoe-Jlrom. Its violence and roarings exceed that of a cataraft, being heard to a great diftance, and without any intermiffion, except a quarter every fixth hour, that is, at the turn of high and low Yvater, when its impetuofity feems at a ftand, which fhort interval is the only time the fifhermen can venture in ; but this motion foon returns, and, however calm the fea may be, gradually increafes with fuch a draught and vortex, as abforb whatever comes within their fphere of aftion, and keep it under water for fome hours, when the fragments, fhivered by the rocks, appear again. This circumflance, among o- thers, makes ftrongly again!! Kircher and others, who imagine that there is here an abyfs penetrating the globe, and ifluing in fome very remote parts, which Kircher is fo particular as to affign, for he names the gulf of Bothnia. But after the moft exa£t refearches w hich the circumftances will admit, this is but a con- jedture without foundation; for this and three other vortices among the Ferroe iflands, but fmaller, have no other caufe than the collifion of waves riling and falling, at the flux and reflux, againft a ridge of rocks and ftielves, which confine the water fo that it precipi¬ tates itfelf like a catarad! ; and thus the higher the flood rifes, the deeper muft the fall be ; and the na¬ tural refult of this is a whirlpool or vortex, the pro¬ digious fudlion whereof is fufficiently known by leiTer experiments. But what has been thus abforbed, re¬ mains no longer at the bottom than the ebb lafts; for the fudlion then ceafes, and the flood removes all at- tradlion, and permits whatever had been funk to make its appearance again. Of the fituation of this amazing Molkoe-ftrom we have the following account from Mr Jonas Ramus : “ The mountain of Helfeggen, in Lo¬ foden, lies a league from the ifland Ver, and betwixt thefe two runs that large and dreadful ftream called Mofkoe-Jlrom, from the ifland Mofkoe, which is in the middle of it, together with feveral circumjacent ifles, as Ambaaren, half a quarter of a league northward, Iflefen, Hoeholm, Kieldholm, Suarven, and Buck- holm. Mofkoe lies about half a quarter of a mile fouth of the ifland of Ver, and betwixt them thefe fmall iflands, Otterholm, Flimen, Sanflefen, Stock¬ holm. Betwixt Lofoden and Mofkoe, the depth of the water is between 36 and 40 fathoms j but on the other fide, towards Ver, the depth decreafes, fo as not to afford a convenient paffage for a veffel, without the rifle of fplittmg on the rocks, which happens even in the calmeft weather : when it is flood, the ftream runs up the country between Lofoden and Mofkoe with a boifterous rapidity : but the roar of its impetuous ebb to M A E r Maeljlrom to the fea h fcarcely equalled by the loudeft and moft Mceonides. catara^si nolle being heard feveral leagues Y~*-~ ^nd the vortices or pits are of fuch an extent and . eP . > that if a ihip comes within its attraction, it is inevitably abforbed and carried down to the bottom, and there beat to pieces againft the rocks; and when the \vater relaxes, the fragments thereof are thrown up again. But thefe intervals of tranquillity are only at the turn of the ebb and flood, and calm weather: and Lift but a quarter of an hour, its violence gradually re¬ turning,^ When the ftream is moft boifterous, and its fury, heightened by a ftorm, it is dangerous to come within a Norway mile of it : boats, ftiips, and yachts having been carried away, by not guarding againft it before they were within its reach. It likewife happens frequently, that whales come too near the ftream and are overpowered by its violence j and then it is impof- ftble to defcribe their bowlings and bellowings in their fruitlefs ftruggles to difengage themfelves. A bear once attempting to fwim from Lofoden to Mofkoe, with a defign of preying upon the flheep at pafture in the ifland, afforded the like fpeftacle to the people ; the ftream caught him, and bore him down, whilft he roared terribly, fo as to be heard on (bore. Large ftocks of firs, and pine trees, after being abforbed by the current, rife again, broken and torn to fuch a de¬ gree as if briftles grew on them. This plainly (hows the bottom to confift of craggy rocks, among which they are whirled to and fro. This ftream is regulated by the flux and reflux of the fea 5 it being conftantly high and low water every fix hours. In the year 1645, early in the morning of Sexagefima Sunday, it raged with fuch noife and impetuofity, that on the ifland of Molkoe, the very (tones of the houfes fell to the ground.” MAEMACTERIA, facrifices offered to Jupiter at Athens in the winter month Maemafterion. The god furnamed Maemaftes was entreated to fend mild and temperate weather, as he prefided over the feafons, and was the god of the air. MiEMAC TERION, was the fourth month of the Athenian year, containing twenty-nine days, and an- fwering to the latter part of our September, and the beginning of Oftober. It received its name from the feftival McemaBeria, which was obferved about this time. . This month was called by the Boeotians Alal- comemus. MiENA. See Sparus, Ichthyology Index. MAiNALUS, in Ancient Geography^ a mountain of Arcadia facred to the god Pan, and greatly frequented by (hepherds. It received its name from Mtenalus a fun of Lycaon. It was covered with pine trees, whofe echo and (hade have been greatly celebrated by all the ancient poets. MiEONIA, or MoEONIA, a country of Afia Minor, and forming part of Lydia; namely the neighbourhood of Mount Tmolus, and the country watered by the Pa&olus. The reft on the fea coaft was called Lydia. See Lydia.’ MAEONIDAl,, a name given to the mufes, becaufe Homer, their greateft and worthieft favourite, w’as fuppofed to be a native of Mseonia. MAEONIDES, a furname of Homer, becaufe, ac¬ cording to the opinion of fome writers, he was born in Maeonia, or becaufe his father’s name was Mseon. 42 ] M A F MAEOLIS PALUS or lac us, Merotica Palus, or Alao- Ucus Locus, m Ancient Geography, a large lake or part ot the lea between. Europe and Afia, at the north of the Luxine, to which it communicates by the Gimme- ^an ^°fphorus. It was worftiipped as a deity by the Maffagetae. It extends about 390 miles from fouth- weft to north-eaft, and is about 600 miles in circum- ference. Still called Pains Mceotis, reaching from Cnm 1 artary to the mouth of the Don. MASSTLIN, Michael, in Latin Mct/llinus, a ce¬ lebrated aftronomer of Germany, was born in the duchy of Wittemberg ; but fpent his youth in Italy, where he made a fpeec.h in favour of Copernicus’s fyftem, w hich brought Galilseo over from Ariftotle and Ptolemy, to whom he had been hitherto entirely devoted. He’af¬ terwards returned to Germany, and became profeffor of mathematics at Tubingen ; where, among his other (cholars, he taught the great Kepler, who has praifed ieveral of his ingenious inventions, in his Aftronomia Uptica.. Though Tycho Brahe did not affent to Mrnft- Ln’s opinion, yet he allowed him to be an extraordinary perfon, deeply (killed in the fcience of aftronomy. Mteftlm publiflied. many mathematical and aftronomical works; and died in 1590. MAES BRIGHT, an ancient town of the Nether¬ lands, ceded to the Dutch by the treaty of Munfter, but now belonging to France, is about four miles in circumference, and ftrongly fortified. The inhabi¬ tants, the number of whom is eftimated at 18,000, are noted for making excellent fire arms, and fome’ (ay that in the arfenal there are arms fufficient for a whole army. Both Papifts and Proteftants are al¬ lowed the free exercife of their religion, and the ma- giftrates are compofed of both. It is feated on the river Maefe, which feparates it from Wyck, and with vruch it communicates by a handfome bridge. Mae- ftricht revolted from the Spaniards in 1570, but was reduced in 1579* Louis XIV. became mafter of 11 ,n i673 but it was reftored to the dates by the treaty of Nimeguen in 1678. It was again taken by the French in 1794. E. Long. c. 50. N. Lat 51* 5- MAFFAEUS, Vegio, a Latin poet, born in Lom¬ bardy in 1407, was greatly admired in his time. He wrote epigrams, and a humorous fupplement to Virgil, which he called The thirteenth booh of the ILneid: this was as humoroufly tranflated into Eng- lifti a few years fince by Mr Ellis. Maffseus wrote alfo fome profe works. He was chancellor of Rome to¬ wards the end of the pontificate of Martin V.; and died in 1458. MAFFEI, Scipio, a celebrated Italian poet, born of an illuftrious and ancient family at Verona, in 1675. After having finiftied his ftudies, he took arms, and diftinguiflied himfelf by his valour at the battle of Do- nawert; but he more particularly diftinguiflied himfelf by his love of learning, which made him undertake fe¬ veral voyages into France, England, and Germany. He converfed with the learned in all tholb countries, and obtained their friendlhip and efteem. He was a member of the academy of the Arcadia at Rome, an honorary foreign member of that of Infcriptions at Paris; and died in .1755. He wrote many works in verfe and profe, which are efteemed ; the moft known of which are, 1. The tragedy of Merope, of which there M A G Mafci there are two French tranflations in profe. 2. Cere- 11 . mony, a comedy. 3. A tranflation, into Italian verfe, ^z,ne- of the firll book of Homer’s Iliad. 4. Many other ' * pieces of poetry, in a colleflion entitled Rhyme and Profe, quarto. His principal works in profe are, 1. Ve¬ rona illufrata. 2. Iforia diplomatica. 3. Scienza ca¬ valier efc a ; an excellent work, in which he attacks duel¬ ling. 4. An edition of Theatro ItaHano. 3. An edi¬ tion of Cafliodorus on the Epiftles, A6ts of the Apoftles, and Apocalypfe. 6. Gal/ice Aniiquitates qucedam fe- leclcc, atque in plures epifq/as di/lributce; and feveral ether works. MAG AD A, in Mythology, a title under which Ve¬ nus was known and worlhipped in Lower Saxony ; where this goddefs had a famous temple, which was treated with refpedt even by the Huns and Vandals when they ravaged the country.' It is faid to have been deftroyed by Charlemagne. MAGADOXO, the capital town of a kingdom of the fame name, in Africa, and on the coaft of Ajan. It is feated near the mouth of a river of the fame name, defended by a citadel, and has a good harbour. The inhabitants are Mahometans. E. Long. 45. 15. N. Lat. 3. o. MAGAS, Magadis, (from y.otyowhZpi.'), “ to ling, or play in unifon or odave,”) the name of a mufical in- ftrument in ufe among the ancients. There were two kinds of magades, the one a firing inftrument, formed of 20 chords arranged in pairs, and tuned to unifon or odlave, fo that they yielded ten founds; the invention whereof is afcribed by fome to Sappho; by others to the Lydians j and by fome, to Timotheus of Miletus. The other was a kind of flute, which at the fame time yielded very high and very low notes. The former kind was at leaft much improved by Timotheus of Miletus, who is faid to have been impeached of a crime, becaufe by increafing the number of chords he fpoiled and difcredited the ancient mufic. MAGAZINE, a place in which floras are kept, of arms, ammunition, provifions, &c. Every forti¬ fied town ought to be furnifhed with a large maga¬ zine, which fhould contain flores of all kinds, fuflh- cient to enable the garrifon and inhabitants to hold out a long fiege ; and in which fmiths, carpenters, wheelwrights, &c. may be employed in making every thing belonging to the artillery, as carriages, wag¬ gons, &c. Powder MAGAZINE, is that place where the powder is kept in very large quantities. Authors differ great¬ ly both with regard to their fltuation and conflru&ion j but all agree that they ought to be arched and bomb¬ proof. In fortifications, they are frequently placed in the rampart; but of late they have been built in dif¬ ferent parts of the town. The firfl powder magazines were made with Gothic arches : but M. Vauban find¬ ing them too weak, conflru&ed them in a femicircular form j whofe dimenfions are 60 feet long within, and 25 broad; the foundations are eight or nine feet thick, and eight feet high from the foundation to the fpring of the arch ; the floor is two feet from the ground, which keeps it from dampnefs. One of our engineers of great experience fome time fince had obferved, that after the centres of femicircu¬ lar arches are llruck, they fettle at the crown and rife M A G up at the hanches, even with a ftraight horizontal ex- Magazine, trades, and Hill much more fo in powder magazines, whofe eutfide at top is formed like the roof of a houfe, by two inclined planes joining in an angle over the top of the arch, to give a proper defeent to the rain; which eflfedls are exaflly what might be expe6led agreeable to the true theory of arches. Now, as this ftirinking of the arches mull be attended w'ith very ill confequen- ces, by breaking the texture of the cement after it has been in fome degree dried, and alfo by opening the joints of the vouffoirs at one end, fo a remedy is pro¬ vided for this inconvenience with regard to bridges, by the arch of equilibration in Mr Hutton’s book on bridges ; but as the ill effedl is much greater in powder magazines, the fame ingenious gentleman propofed to find an arch of equilibration for them alfo, and to con- ftruft it when the fpan is 20 feet, the pitch or height 10 (which are the fame dimenfions as the femicircle), the inclined exterior walls at top forming an angle of Ir3 degrees, and the height of their angular point a- bove the top of the arch equal to feven feet. This very curious queftion was anfwered in 1775 by the reverend Mr Wildbore, to be found in Mr Hutton’s Mifcellanea Mathematica. Artillery MAGAZINE. In a fiege, the magazine is made about 25 or 30 yards behind the battery, towards the parallels, and at leaft three feet under ground, to hold the powder, loaded (hells, portfires, &c. Its fides and roof muft be well fecured with boards to prevent the earth from falling in : a door is made to it, and a double trench or palfage is funk from the magazine to the battery, one to go in and the other to come out at, to prevent confufion. Sometimes traverfes are made in the paffages to prevent ricochet (hot from plunging into them. Magazine, on (hipboard, a clofe room or ftore- houfe, built in the fore or after-part of the hold, to contain the gunpowder ufed in battle. This apartment is ftrongly fecured againft fire, and no perfon is allow¬ ed to enter it with a lamp or candle: it is therefore lighted, as occafion requires, by means of the candles or lamps in the light-room contiguous to it. Magazine Air-Gun. See AiR-Gun. MAGAZINES, Literary i a well-known fpecies of pe¬ riodical publications, of which the firft that appeared, was The Gentleman's, fet on foot by the projector Mr Edward Cave in the year 1731: (fee the article Cave). This, as Dr Kippis obfervesf, “ may be confidered as fBri0. fomething ©f an epocha in the literary hiftory of this vol. iii. Arc. country. The periodical performances before that time(jAV£- were almoft wholly confined to political tranfadions, and to foreign and domeftic occurrences ; but the monthly magazines have opened a way for every kind of inquiry and information. The intelligence and dif- cuflion contained in them are very extenfive and va¬ rious : and they have been the means of diffufing a ge- neral habit of reading through the nation, which in a certain degree hath enlarged the public underftandino-. Many young authors, who have afterwards rifen tocon- (iderable eminence in the literary world, have here made their firft attempts in compofition Here too are preferved a multitude of curious and ufeful hints, obfer- vations, and fadls, which otherwife might have never appeared ; or if they had appeared in a more evanefeent form, would have incurred the danger of being loft. If It 1 343 ] MAG [ 344. ] MAG Magazine it were not an invidious tafli, the hi dory of them would 'I, be no incurious or unentertaining fubjeft. The maga- 1 ln,r5r“ zines that unite utility with entertainment are undoubt- ii.,„t edly preferable to thofe (if there have been any fuch') which have only a view to idle and frivolous amufe- ment. It may be obferved, that two of them, The Gentleman's and The London, which laft was begun the year after the former, have, amidft their numerous ri¬ vals, preferved their reputation to the prefent day. They have both of them, in general, joined inflruflion with pleafure j and this likewife hath been the cafe ■with fome others of a later origin.—The original Lon¬ don Magazine, it has been believed, has been difeon- tinued for fome years pall.—The next oldeft publica¬ tion of this kind, is that entitled The Scots Magazine: which was commenced at Edinburgh a few years pof- terior to the appearance of the Gentleman's at London; which, like it, has furvived many rivals, and has been continued, under different proprietors and editors, with various degrees of merit. MAGDALEN, Mary. See Mary. Religious of St MAGDALEN, a denomination given to divers communities of nuns, confiding generally of penitent courtezans $ fometimes alfo called Magdale- nettes. Such are thofe at Metz, eftablilhed in 1452 $ thofe at Paris, in 1492 ; thofe at Naples, firft efta¬ blilhed in 1324, and endowed by Queen Sancha, to ferve as a retreat for public courtezans, who Ihould be¬ take themfelves to repentance j and thofe of Rouen and Bourdeaux, which had their original among thofe of Paris in 1618. In each of thefe monafteries there are three kinds of perfons and congregations $ the firft con- lift of thofe who are admitted to make vows, and thefe bear the name of St Magdalen ; the congregation of St Martha is the fecond, and is compofed of thofe whom it is not judged proper to admit to vows ; finally, the congregation of St Lazarus is compofed of fuch as are detained there by force. The religious of St Magdalen at Rome were eftablilh¬ ed by Pope Leo X. Clement VIII. fettled a revenue on them j and farther appointed, that the effefts of all public proftitutes, dying inteftate, Ihould fall to them; and that the teftaments of the reft Ihould be invalid unlefs they bequeathed a portion of their effefts, which was to be at leaft a fifth part, to them. Magdalen Hofeital. See London, N°ii5. MAGDALENA, one of the Marquefas iflands, about five leagues in circuit, and fuppofed to be in S. Lat. 10. 25. W. Long. 138. 50. It was only feen at nine leagues diftance by thofe who difeover- ed it. MAGDALENE’S Cave, a cave of Germany, and in Carinthia, 10 miles eaft of Gortz. It appears like a chafm in a rock, and at the entrance torches are lighted to conduct travellers. It is divided into feveral apartments, or halls, with a vaft number of pillars form¬ ed by nature, which give it a beautiful appearance, they being as white as fnow, and almoft tranfparent. The bottom is of the fame fubftance, infomuch that a perfon may fancy himfelf to be walking among the ruins of an enchanted caftle, furrounded with magnificent pil¬ lars, fome entire and others broken. MAGDEBURG, a duchy of Germany, in the circle of Lower Saxony ; bounded on the north by the duchy of Mecklenburgh, on the fouth and fouth- weft by the principality of Anhalt and Halberftaut, Mrwde. on the eaft by Upper Saxony with part of Brandeu- '3UrJi j burg, and on the weft by the duchy of Wolfenbuttle. y"'" The Saale circle, and that of Luxkenwalde, are fepa- rated from the reft, and furrounded on all fides by a part of Upper Saxony. This country is for the moft part level; but fandy, marftvy, or overgrown with woods. There are fait fprings in it, fo rich that they are fufficient to fupply ail Germany with that commodity. The Holz circle is the moft fruitful part of it. In the Saale cyrcle, where wood is fcarce, there is pit-coal: and at Rothenburg is a copper-mine worked. The duchy is well watered, for the Elbe paffes through it 5 and the Saale, Havel, Aller, Ohre, and Elfter, either rife in, or walk fome part of it in their courfe. The whole duchy, exclufive of that part of the county of Mansfeldt, which is connected with it, is faid to contain 29 cities, fix towns, about 430 vil¬ lages, and 330,000 inhabitants. The ftates of the country confift of the clergy, the nobility, and de¬ puties of the cities. Before it became fubjedt to the eleftoral houfe of Brandenburgh, frequent diets were held in it $ but at prefent no diets are held, nor have the ftates the direftion of the finances as for¬ merly. Before the Reformation, it was an arch- bilhopric, fubjedt in fpirituals to the pope alone, and its prelate was primate of all Germany j but embracing the Reformation, it chofe itfelf adminiftrators, till the treaty of Munfter in 1648, when it was given, toge¬ ther with the bilhopric of Halberftadt, to the eledtor of Brandenburgh, as an equivalent for the Hither Po¬ merania, granted by that treaty to the king of Sweden. Lutheranifm is the predominant religion here j but Cal- vinifts, Jews, and Roman Catholics, are tolerated. Of the laft there are five convents, who never embraced the Reformation. All the Lutheran parilhes, amount¬ ing to 314, are fubjeft to 16 infpedtors, under one ge¬ neral fuperintendant $ only the clergy of the old town of Magdeburg are under the diredtion of their fenior. The Jews have a fynagogue at Halle. The manufac¬ tures of the duchy are cloth, fluffs, ftockings, linen, oil- Ikins, leather, and parchment; of which, and grain of all forts, large quantities are exported. The arms of it are, Party per pale, ruby, and pearl. The king of Pruflia, as duke of Magdeburg, fits and votes be¬ tween the eledlor of Bavaria, as duke of Bavaria, and the eledtor palatine, as palfgrave of Lautern. Of the ftates of the circle of Lower Saxony he is the firft. His matricular affeffment for the duchy is 43 horfe and 196 foot, or 1300 florins monthly j and to the chamber of Wetzlar, 343 florins and 40 kruitzers. For the civil government of the duchy there is a council of regency, with a war and demefne chamber j and for the eccle- fiaftical a confiftory and general fuperintendant. The revenues of the duchy, arifing from the falt-works, demefne, and taxes, fome of which are very heavy and oppreflive, are faid to amount to 800,000 rixdollars annually. With refpedt to fait, every houfekeeper in the Pruffian dominion is obliged to buy a certain quantity for himfelf and wife} and alfo for every child and fervant, horfe, cow, calf, and Iheep, that he pof- feffts. The principal places are Magdeburg, Halle, and Glauche. Magdeburg, a city of Germany, in a duchy of the fame name, of which it is not only the capital, but that of MAG [ 345 1 MAG ^gde- 0f all Lower Saxony, and formerly even of all Germany, bur?, ft (lands on the Elbe, in E. Long. 12. 9. N. Lat. $2. 16. It is a city of great trade, (Irongly fortified, and very ancient. Its name fignifies the maiden city ; which, fome imagine, took its rife from the temple of Venus, which is faid to have flood here anciently, and to have been deftroyed by Charlemagne. The founder of the city is fuppofed to have been Otho I. or his em- prefs Editha, daughter to Edmund the Saxon king of England. The fame emperor founded a Benedidfine convent here, which he afterwards converted into an archbifhopric, of which the archbifliop was a count- palatine, and had very great privileges, particularlythat of wearing the archiepifcopal pallium, and having the crofs borne before him, befides many others. The firft tournament in Germany is faid to have been appointed near this city, by the emperor Henry the Fowler 5 but thefe paftimes were afterwards aboliftied, becaufe they * occafioned fuch envy and animofity among the nobi¬ lity, that feveral of them killed one another upon the fpot. The fituation of the city is very convenient and pleafant, upon the banks of the Elbe, amidft fpacious fruitful plains, and on the road betwixt High and Low Germany. It has been a great fufferer by fires and fieges j but by none fo much as that in 1631 when the emperor’s general, Count Tilly, took it by ftorm, plundered and fet it on fire, by which it was entirely reduced to aflies, except the cathedral, the convent of our Lady, and a few cottages belonging to fifliermen j of 40,000 burghers, not above 400 efcaping. The foldiers fpared neither age nor fex \ but ripped up women with child, murdered fucking infants in fight of their parents, and ravifhed young women in the ftreets j to prevent which violation, many of them flung themfelves into the Elbe, and others into the fire. The city is now populous, large, and well built, particularly the broad ftreet and ca¬ thedral fquare. The principal buildings are the king’s palace, the governor’s houfe, the armoury, guildhall, and cathedral. The laft is a fuperb ftruc.ure in the antique tafte, dedicated to St Maurice\ which has a fine organ, the mafler pipe of which is fo big, that a man can fcarce clafp it with both arms •, it alfo con¬ tains the tombs of the emperor Otho and the emprefs Editha , a fine marble ftatue of St Maurice, a por¬ phyry font, an altar in the choir of one ftone of di¬ vers colours, curioufly wrought, and many other cu- riofities. They (how here a bedftead and table which belonged to Martin Luther, when he was an Auguf- tine friar in a cloifter of this city before the Refor¬ mation. Among the relics, they pretended to have the bafon in which Pilate wafhed his hands after his condemnation of our Saviour j the lantern which Judas made ufe of when he apprehended him •, and the lad¬ der on which the cock crowed after St Peter denied him. The chapter confifts of a provoft, fixteen major and feven minor canons j befides which, there are four other Lutheran collegiate foundations, and a Lutheran convent dedicated to our Lady, in which is a fchool or ferninary. Here is alfo a gymnafium, with an aca¬ demy, in which young gentlemen are inftnufled in the art of war. The canons of the chapter, which, except the change of religion, is upon the fame footing as before the Reformation, rouft make proof of their nobility. The prebends and dignities are all in the Vol, XII. Part I. gift of the eje&or j and the revenue of the provoft is Mae le- computed at 12,000 crowns a-year. Here is a great bu..r? trade, and a variety of manufactures. The chief are iyiagei:an. thofe of woollen cloths and fluffs, filks, cottons, linen, —-a (lockings, hats, gloves, tobacco, and fnuff. The city was formerly one of the Hanfe and Imperial towns. Editha, confort to Otho I. on whom it was conferred as a dowry, among many other privileges and advan¬ tages, procured it the grant of a yearly fair. The bur- gravate of this city was anciently an office of great power; having the civil and criminal jurifdiftion, the office of hereditary cupbearer being annexed to it; and was long held as a fief of the archbiffiopric, but after¬ wards became an imperial fief, which was again con¬ ferred on the archbiffiopric by the eleftor of Saxony, upon certain conditions. MAGDOLUM, or Magdalum, in Ancient Geo¬ graphy, a town of the Lower Egypt, twelve miles to the fouth of Pelufium (Herodotus, Antonine), which doubtlefs is the Migdol or Magdol of Jeremiah.—A.no- ther Magdalum, or Migdol, denoting literally “ a tower or place of (Length,” near the Red fea, (Mofes); fiy to the fouth of the former. ^VIAGELLAN, Ferdinand de, an eminent na¬ vigator, was by birth a Portuguefe, of a good family. He ferved in the Eaft Indies with reputation for five years under Albuquerque, and in 1510 he greatly di- ftinguiftied himfelf at the battle of Malacca. Deeming his fervices poorly repaid by his own court, he entered into the employment of Charles V. king of Spain. He has been charged with peculation by fome of his coun¬ trymen, who have affigned this as the reafon why he quitted Portugal. In conjun£tion with Ruy Folero he formed the bold defign of difcovering a new paffage by the weft to the Molucca iflands, which he offered to prove fell within the divilion of the globe affigned by the pope to the crown of Caftile. It is faid that he firft propofed this enterprife to Emanuel king of Por¬ tugal, who rejected it, as opening a way for other na¬ tions to have accefs to the Eaft Indies, the trade of which was now monopolized by the Portuguefe. The propofition was agreed to by the king of Spain, and on the 20th of September 1519 Magellan failed from San Lucar with five (hips and 236 men und r his command. His officers foon murmured at this appointment, confi- dering it as a difgrace to be commanded by a rene¬ gade Portuguefe ; and when the fleet was lying at a port in South America which they named San Julian, a confpiracy was formed againft him by three of the captains, which he difcovered and quelled. He caufed the captain of one of the drips to be affaffinated, he boarded a fecond, and fecured the mutineers, and the third fubmitted. The coaft on which they lay was that of Patagonia ; and this firft voyage contains accounts of the extraordi¬ nary ftature of the natives. About the end of October they reached a cape, to which they gave the name of Dee las Virgines, forming the entrance of the (traits which bear the name of Magellan. He exerted all his authority to induce his men to venture on this unknown paffage, with the view of croffing a vaft ocean beyond it, at the hazard of running (hort of provifions, of which • a fupply for three months was all he had remaining. One of his drips abandoned him, and made the belt of her way to Europe. The reft proceeded, and on the X x 27th [ Maggi. M A G Magellan 27th of November they difcovered the South fea, which made Magellan died tears of joy. They conti- _ nued their voyage over this ocean, now vifited for the firft time by Europeans, and were not long in fullering thole evils from famine which they had apprehended. I he men were reduced to the neceffity of eating the hides with which the Egging was covered. The weather proved fo uniformly calm and temperate, that they gave to the ocean the name of Pacific. They came in light of the Ladrones on the 6th of March, fo called from the thievilh diipolition of the inhabitants j and from thence they failed to the Philippines. At Zebu Magellan ontained with little difficulty the con- verlxon of the king j and on condition of his becoming a vaffal of Spain, the Portuguefe affifted him in re¬ ducing fome neighbouring chieftains, and the crofs was erefted over fome burnt villages. With about 50 men Magellan landed upon Matan, whofe chief refufed to fubmit to Zebu, and an engage¬ ment between them lalted for the greater part of the day. His troops having fpent all their ammunition, found it neceffary to retreat, during which Magellan was wounded in the leg, by an arrow', beaten down^hd at lad llain with a lance. This happened in 1521. By this a£l: of imprudence he loft the honour of being the firft circumnavigator of the globe, which fell to the lot of Cano, who brought his ftiip home by the Eaft In¬ dies.- Yet Magellan has fecured an immortal name among maritime difcoverers, by the commencement of this great enterprize, in which he difplayed extraordi- 346 ] MAG nite labour. But they had their revenge ; for, takirg the city in 1571, they plundered his library, carried him loaded with chains to Conllantinople, and treated him in toe moft inhuman and barbarous manner. He neverthelefs comforted himfelf from the example of iEfop, Menippus, Epi&etus, and other learned men ; and, after palling the whole day in the meaneft drud¬ gery, he fpent the night in writing. He compofed, by the help of his memory alone? treatiles filled with quotations, which he dedicated to the Imperial and trench ambaftadors. ilhele minifteis, moved by com¬ panion for this learned man, refolved to purchafe him ■ but while they were treating for his ranfom, Maggi found means to make his efcape, and to get to the Imperial ambaifador’s houfe j when the grand vifir be- ei}raged at his flight, and remembering the great milchief he had done the I'urks during the fiege of Famagufta, fent to have him feized, and caufed him to be ftrangled in prifon in 1572. His principal works are, 1. A Treatife on the Bells of the Ancients. 2. On the Deftru&ion of the World by Fire. 3. Commen¬ taries on Aimilius Probus’s Lives of Uluftrious Men. 4. Commentaries on the Inftitutes. Thefe works are written in elegant Latin. He alfo w'rote a treatife on fortification in Italian 5 and a book on the fituation of ancient Tufcany. He ought not to be confounded with his brother Bartholomew Maggi, a phyfician at Bologna, who wrote a treatile of gunlhot wounds : nor with Vincent Maggie a native of Brefle, and a celebrated profeffor of Maggi,: Maggot : j r 1 1 . 1 , , . * 06 9 “ -witiir, auu a ceieuraieo proienor or lary Ikill and relomtion, but dilregarded juftice and . humanity at Ferrara in Padua, who w-as the author of humanity, then almoft univerfal among adventurers of feveral works. this clafs Straits of MAGELLAN, a narrow palfage between the ifiand of Terra del Fuego and the fouthern extremity of the continent of America. This paflage was firft ' •difcovered by Ferdinand Magellan, who failed through it into the South fea, and from thence to the Eaft Indies. Other navigators have paffid the fame way j but as thefe ftraits are exceedingly difficult, and fubjedl to Forms, it has been common to fail by Cape Horn, rather than through the ftraits of Magellan. See Straits I.e MaIHE, and TERRA Pel Fuego. MAGELLANIC clouds, whitilh appearances like clouds, feen in the heavens towards the fouth pole, and having the fame apparent motion as the ftars. They are three in number, two of them near each other. The largeft lies far from the fouth pole; but the other two are not many degrees more remote from it than the neareft ccnfpicuous ftar, that is, about 11 degrees. Mr Boyle conj.eflures, that if thefe clouds were feen through a good telefcope, they would appear to be mul¬ titudes of fmall ftars, like the milky-way. MAGGI, Jerome, in Latin Magius, one of the moft learned men of the 16th century, was born at Angbiari in Tufcany. He applied himfelf to all the fciences, and even to the art of war; and diftinguiffied himfelf fo much in this laft ftudy, that the Venetians fent him into the iftand of Cyprus in quality of judge of the admiralty. When the Turks befieged Fama¬ gufta, he performed all the fervices that could be ex- pedled from the moft excellent engineer : he invented mines and machines for throwing fire, by means of which he deftroyed all the works of the befiegers, and in an inftant overthrew what had coft the Turks infi- - 2 MAGGOT, the common name of the fly-worm bred in fltffi, from the egg of the great blue fleffi fly. Notwithftanding the diftafte for this animal, its figure and ftrudlure of parts are greatly worth attending to; and may ferve as a general hiftory of the clafs of worms produced from the eggs of flies. This animal is white and fleffiy; its body is .compofed of a number of rings, like the bodies of caterpillars and other fimilar infedts ; and is capable, at the pleafure of the animal, of afluming different figures; being at times more or lefs extended in length, and confequently more or lefs thick. Notwithftanding that this animal has no legs, it is able to move itfelf very fwiftly ; and in its firft attempt, to move its body, is extended to its greateft length, and affumes fomething of the figure of a pointed cone. The pointed part of the cone is the head of the ani¬ mal, and is not feparated from the next ring by any deeper furrow' than the reft of the rings are from one another. In fome ftates of the animal, one may fee two ftiort horns thruft out from the head ; but more generally two fcaly hooks are obfervable : thefe are, however, fometimes hid, and have each of them a cafe or (heath ; into which the animal can retract them at pleafure. Thefe hooks are bent into an arch, the con¬ cavity of which is towards the plane on which the crea¬ ture is placed ; and they are thickeft at their infertion in the head, and thence diminifti gradually, till they terminate in a fine (harp point. Thefe two hooks are placed in a parallel diredlion, and can never come together, and therefore cannot ferve in the, place of teeth for grinding the food ; but merely to pull and fever it in pieces, that it may be of a. MAG [ 3 lla|got. a proper fize for the mouth of the creature. Befides "-f—0 thefe hooks, the maggot has a kind of dart, which is about a third part of their length, and is placed at an equal diflance between them. This is alfo brown and fcaly like them •, it is quite ftraight, and terminates in a fine point. The hooks have as it were two fcaly thorns at their points ; and this dart feems intended, by reiterated ftrokes to divide, and break the pieces of flefli thefe have feparated from the reft into fmaller parts. Immediately below the apertures for the egrefs of the hooks, is placed the mouth of the animal j the creature does not fhow this little opening unlefs pref- fed : but if the preffure is properly managed it will fufficiently open it, and there may be difcovered with¬ in it a fmall protuberance, which may very naturally be fuppofed either the tongue or the fucker of the ani¬ mal. The hooks in thefe creatures not only fupply the place of teeth, but alfo of legs ; fince it is by faft- ening thefe hooks into the fubftance it is placed on, and then drawing up its body to it, that it pulls itfelf along. The back of this creature lowers itfelf by degrees as it approaches the extremity of the belly j and near the place where the back begins to lower itfelf, are placed the creature’s two principal organs of refpiration. One may perceive there are two fmall roundifh brown fpots : they are very eafdy diftinguilhable by the naked eye, becaufe the reft of the body of the creature is white j but if we take in the afliftance of glaffes, each of thefe fpots appears to be a brown circular eminence raifed a little above the reft of the'body. On each of thefe fpots one may alfo difcover three oblong oval cavities, fomething of the ftiape of button holes; thefe are fitu- ated in a parallel direction to one another, and their length nearly in a perpendicular direction to that of the body of the animal. Thefe apertures are fo many ftigmata or air-holes ; openings deftined to admit the air neceflary to the life of the animal. It has fix of thefe ftigmata, three in each fide of its body. _ The great tranfparency of the body of this animal gives us an opportunity alfo to diftinguifh that it has on each fide a large white veffel running the whole length of the body. It is eafy to follow the courfe of thefe veffels through their whole length, but they are moft diftinfl of all towards its hinder part ; and they are always feen to terminate each in the brown fpot above mentioned ; this leaves us no room to doubt that they are the two principal trachere. The ramifications of the two great tracheae are very beautifully feen in this.creature, efpecially on its belly ; and it is remarkable, that no veffel analogous to the great artery in the caterpillar clafs can be difcover¬ ed in thefe ; though, if there were any fuch, their great tranfparenee muft needs make them very eafily diftin- guifhable ; nor could its dilatations and con t raft ions, if fo confiderable as in that clafs of animals, be lefs fo. See Caterpillar, Entomology Index. Malpighi imagined, that this artery in the caterpil¬ lar clafs was a feries of hearts ; in its place, however, there may be feen in thefe animals a true heart. It is eafy to obferve in thefe creatures, about the fourth ring of their body, a fmall flefiiy part, which has al¬ ternate contraftions and dilatations ; and is not only difcoverable, in the body by means of its tranfparence, but on making a proper feftion of them in the fecond, MaftC. 4.7 ] M A G third, and fourth, will be thrown out of the body of Maggot the creature, and continue its beats for fome time af¬ terwards. t MAGI, or Magians, an ancient religious left in Perfia, and other eaftern countries, who maintained that there were two principles, one the caufe of all good, the other the caufe of all evil: and, abominating the adoration of images, they worlhipped God only by fire; which they looked upon as the brighteft and moft glorious fymbol of Oromafides, or the good god ;• as darknefs is the trueft fymbol of Arimartius, or the evil god. This religion was reformed by Zoroafter, who maintained that there was one fupreme independent Being ; and under him two principles or angels, one the angel of goodnefs and light, and the other of evil and darknefs; that there is a perpetual ftruggle be¬ tween them, which (hall laft to the end of the world ; that then the angel of darknefs and his difciples ftiall go into a world of their own, where they lhall be pu- niftied in everlafting darknefs ; and the angel of light and his difeiples ftiall alfo go into a world of their own, where they {hall be rewarded in everlafting light. The priefts of the magi were the moft fldlful ma¬ thematicians and philofophers of the ages in which they lived, infomuch that a learned man and a magian became equivalent terms. The vulgar looked on their knowledge as fupernatural; and hence thofe who prac* tifed wicked and mifehievous arts, taking upon them- felves the name of magians, drew on it that ill fig- nification which the word magician now bears among us. This feft ftill fubfifts in Perfia under the denomina¬ tion of gaurs, where they watch the facred fire with the greateft care, and never fuller it to be extinguiih- ed. , MAGIC, (Magia, Mayitd), in its ancient fenfe, the fcience or difeipline and doftrine of the magi, or wife men of Perfia. See Magi. The origin of magic and the magi is aferibed to Zoroafter. Sahnafius derives the very name from Zo¬ roafter, who, he fays, was furnamed Mog, whence Magus. Others, inftead of making him the author of the Perfian philofophy, make him only the reftorer and improver thereof; alleging, that many of the Per¬ fian rites in ufe among the magi were borrowed from the Zabii among the Chaldeans, who agreed in many things with the magi of the Pexfians ; whence fome make the name magus common both to the Chaldeans and Perfians. Thus Plutarch mentions, that Zoroafter inftituted magi among the Chaldeans, in imitation whereof the Perfians had theirs too. Magic, in a more modern fenfe, is a fcience which teaches to perform wonderful and furprifing effefts. The word magic originally carried with it a verv innocent, nay, laudable meaning ; being ufed purely to fignify the ftudy of wifdom, and the more fublime parts of knowledge ; but in regard the ancient magi engaged themfelves in aftrology, divination, forcery, &c. the term magic in time became odious, and was only ufed to fignify an unlawful and diabolical kind of fcience, depending on the aftiftance of the devil and departed fouls. If any wonder how fo vain and deceitful a fcience ftiould gain fo much credit and authority over men’s minds, Pliny gives the reafon of it. It is, fays he, X x 2 becaufe M.inic- book ii. C. 2. MAG [ 348 Lecaufe it has pofleffed itfelf of three fciences of the y irioit efteem among men : taking from each all that is great and marvellous in it. Nobody doubts but it had its firlt origin in medicine ; and that it infinuated itleif into the minds of the people, under pretence of affording extraordinary remedies. To thele fine pro- mifes it added every thing in religion that is pompous and fplendid, and that appears calculated to blind and captivate mankind. Laitly, It. mingled judicial altro- logy with the reft ; perluading people, curious of fu¬ turity, that it law every thing to come in the heavens. Agrippa divides magic into three kinds j natural, ce- leftial, and ceremonial or fuperftitious. Natural M.AGIC is no more than the application of natural aPretending to raife a ghoft from below, without previoufly ufing fome magical rites or fome form of incantation. As nothing of that kind is mentioned in the cafe before us, it is probable that.Samuel appear¬ ed before he was called. It is likewife evident from the narrative, that the apparition was not what the woman expefted ; for we are told, that “ v'hen fhe faw Samuel, Hie cried out for fear.” And when the king exhorted her not to be afraid, and alked what (he faw, “ the woman (aid, I fee gods (elohim) afcending out of tne earth.” Now, had (lie been accultomed to do iuch feats, and known that what (he faw was only her lubfervient daemon, it is not conceivable that (lie could have been fo frightened, or have miftaken her familiar for elohim in any fenfe in which that word can be taken. We are therefore ftrongly inclined to adopt the opinion of thofe who hold that it was Samuel him- lelf who appeared and prophefied, not called up by the wretched woman or her daemons, but, to her utter confufion, and the difgrace of her art, fent by God to rebuke Saul’s madnefs in a mofl affefting and mor- tifying way, and to deter all others from ever ap- plying to magicians or daemons for afliftance when re- fufed comfort from heaven. .For though this hypo- tnefis may to a fuperficial thinker feem to tranfgrefs the rule of Horace—Nec deus interjit, &c which is as applicable to the interpretation of fcripture, as to the introduflion of fupernatural agency in human com- politions } yet he who has ftudied the theocratical con- (titution of Ifrael, the nature of the office which was there termed regal, and by what means the admi- niftration was in emergencies conducted, will have a different opinion j and at once perceive the dignus vin- dice nodus. 1 he fudden and wonderful de(fru£fion of the army of Brennus the Gaul, has likewife been attributed to magic, or, what in this inquiry amounts to the fame thing, to the interpofition of evil fpirits, whom the pnefts of Apollo invoked as gods. Thofe barbarians had made an inroad into Greece, and invefted the tem¬ ple of Apollo at Delphi, with a view to plunder it of the (acred treafure. Fheir numbers and courage over¬ powered all oppofition; and they were juft upon the point of making themfelves mafters of the place, when, Juft in informs us, that, to encourage the befieged, the priefts and prophetefs “ adveniffe deum cVawitf/z/; eum- que fe vidifle defilientem in templum per culminis a- perta faftigia. Dum omnes opem dei fupplicfter im- plorant, juvenem fupra humanum modum infignis pulchritudinis, comitefque ei duas armatas virgines, ex propinquis duabus Dianae Minervaeque aedibus oc- curriiTe, nec oculis tantum haec fe perfptxiffe j audilfe ^ £ O ] MAG etiam ftridorem arcus, ac ftrepitum armorum : pro- inde ne cun&arentur, diis antefignanis, hoftem csedere 1 et vidloriae deorum focios fe adjungere,” fummis obfe- crationibus monebant. Quibus vocibus incenfi, omnes certatim in pradium profiliunt. PraTentiam Dei et ipfi ftatim (enfere : nam et terra? motu portio montis abrupta Gallorum ftravit exercitum, et confertilfimi cunei non fine vulneribus hoftium diflipati ruebant. Infecuta deinde tempeftas eft, quae grandine et frfg'ore faucios ex vulneribus abfumpfit (a). This was unqueftionably an extraordinary event: and it muft be afcribed either to the immediate inter¬ pofition of the Supreme Being, to natural means, or to the agency of daemons : there is no other alterna¬ tive. But it is altogether incredible that the Supreme Being (hould have miraculoufly interpofed to defend the temple of a pagan divinity. It is very difficult to fuppofe that an earthquake, produced in the ordinary courfe of nature, (hould have been foretold by the priefts, or that it could have happened fo opportunely for the prefervation of their treafure from the hands of fierce barbarians. Nothing, therefore, it has been faid, remains, but either to allow the earthquake to have been produced by evil fpirits, or to deny the truth of the hiftorian’s relation. But the cataftrophe of Brennus’s army is recorded in the fame manner by fo many ancient writers of good credit, that we can¬ not call in queftion their veracity ; and therefore, be¬ ing unwilling to admit the agency of daemons into this affair, it will be incumbent on us to (how by what human contrivance it might have been effedled ; for its arrival at (o critical a jundfture will not eafily fuffer us to fuppofe it a mere natural event. “ The inclination of a Pagan pried (fays Biftiop Warburton *) to affift his god in extremity, will * hardly be queftioned $ and the inclination of thofe at Delphi was not ill feconded by their public manage¬ ment and addrefs. On the firft rumour of Brennus’s march againft them, they iffued orders, as from the oracle, to all the region round, forbidding the coun¬ try people to fecret or bear away their wfine and pro- vifions. The effefts of this order fucceeded to their expectations. The half-ftarved barbarians finding, on their arrival in Fhocis, fo great a plenty of all things, made (hort marches, difperfed themfelves over the country, and revelled in the abundance that w-as pro¬ vided (or them. This refpite gave time to the friends and allies of the god to come to his affiftance. Their advantages of fituation likewife fupported the meafures which they had taken for a vigorous defence. The town and temple of Delphi were feated on a bare and cavernous rock, defended on all (ides with precipices inftead Julian. ( ) . a V that the god had arrived : That they had feen him leap into the temple through the aper- ure in t ie root: lhat whilft they were all humbly imploring his help, a youth of more than human beauty accjmpa.ue y two virgins in armour, had run to their affiftance from the neighbouring temples of Diana and i Iinerva ; and that they had not only beheld thefe things with their eyes, but had alfo heard the whizzing or his bow and the clangor of his arms. They therefore earneftly exhorted the befieged not to negled the leaven Y ’gnal, but to fally out upon their enemies, and partake with the divinities of the glory of the vic- /T’l i TV tht>re words the foldiers being animated, eagerly ruffled to battle-: and were themfelves quickly eu rule ot the presence of the god ; for part of the rock being torn away by an earthquake, rolled down upon the Gauls j whoff thiekeft battalions being thus thrown into confufion, fled, expefed to the weapons of their enemies, boon afterwards a tempeft arofe, which by cold and the fall of hailftones cut off the wounded. Magic- MAG [ 3sr ] M A G inflead of walls. A large recefs within affumed the form of a theatre ; i’o that the fhouts of foldiers, and the founds of military inftruments, re-echoing from rock to rock, and from cavern to cavern, increafed the clamour to an immenfe degree ; which, as the hifto- rian obferves, could not but have great effe&s on ig¬ norant and barbarous minds. The playing off thefe panic terrors was not indeed of itfelf fufficient to re- pulfe and diflipate an hoft of fierce and hungry invaders, but it enabled the defenders to keep them at bay till a more folid entertainment was provided for them, in the explojion and fall of that portion of the rock at the foot of which the greater part of the army lay en¬ camped. “ Among the caverns in the facred rock, there was one which, from an intoxicating quality difcovered in the fleam which iffued from it, was rendered very famous by being fitted to the recipient of the prieftefs of Apollo (b). Now, if we only fuppofe this, or any other of the vapours emitted from the numerous fif- fures, to be endowed with that undtuous, or otherwife inflammatory quality, which modern experience (hows to be common in mines and fubterraneous places, we can eafily conceive how the priefts of the temple might, without the agency of daemons, be able to work the wonders which hiftory fpeaks of as effedted in this tranfadlion. For the throwing down a lighted torch or two into a chafm whence fuch a vapour iflued, would fet the whole into a flame j which, by fuddenly rarefying and dilating the air, would, like fired gunpowder, blow up all before it. That the priefts, the guardians of the rock, could be long ig¬ norant of fuch a quality, or that they would divulge it when difcovered, cannot be fuppofed. Strabo re¬ lates, that one Onomarchus, with his companions, as they were attempting by night to dig their way through to rob the holy treafury, were frightened from their work by the violent lhaking of the rock ; and he adds, that the fame phenomenon had defeated many other attempts of the like nature. Now, whe¬ ther the tapers which Onomarchus and his companions were obliged to ufe while they were at work, inflamed the vapour, or whether the priells of Apollo heard them at it, and fet fire to a countermine, it is certain a quality of this kind would always ftand'them in (lead. Such then (prefumes the learned prelate) was the expe¬ dient (c) they employed to diflodge this neft of hornets, which had fettled at the foot of their facred rock ; for the ftorm of thunder, lightning, and hail which fol¬ lowed, was the natural effeft of the violent concuflions given to the air by the explofion of the mine.” Two inftances more of the power of ancient ma¬ gic we {hall juft mention, not becaufe there is any thing particular or important in the faffs, but becaufe Magic, fome credit feems to have been given to the narration v ‘ ^ by the difcerning Cudworth. Philoftratus, in his life of Apollonius Tyanaeus, informs us that a laughing demoniac at Athens was cured by that magician, who ejected the evil fpirit by threats and menaces j and the biographer adds, that the daemon, at his departure, is faid to have overturned a ftalue which flood before the porch where the cure was performed. The other in- ftance is of the fame magician freeing the city of Ephefus from the plague, by ftoning to death an old ragged beggar whom Apollonius called the plague, and ■who appeared to be a daemon by his changing himfelf into the form of a Jhagged dog. That fuch tales as thefe fhould have been thought worthy of the llighteft notice by the incomparable au¬ thor of the Intelleffual Syftem, is indeed a wonderful phenomenon in the hiftory of human nature. The whole ftory of Apollonius Tyanaeus, as is now well known, is nothing better than a colleftion of the moft extravagant fables * : but were the narrative fuch as*SeePn- that credit could be given to the faffs here related, there appears no neceflity in either cafe for calling m Coi:nexions, the agency of evil fpirits by the power of magic.— ^ r The Athenians of that age were a fuperftitious peo- plaofophy, pie. Apollonius was a ftirewd impoftor, long prac-and-Mb- tifed in the art of deceiving the multitude. For fuch/^w*’-' a man it was eafy to perfuade a friend and confidanton , to aff the part of the laughing demoniac ; and without 7“^#^ much difficulty the flatue might be fo undermined as ty/Zew. inevitably to tumble, upon a violent concuffion being given to the ground at the time of the departure of the pretended daemon. If fo, this feat of magic dwindles down into a very trifling trick performed by- means both Ample and natural. The other cafe of the poor man at Ephefus, who was ftoned to death, is exaffly fimilar to that of thofe innocent women in our own country, whom the vulgar in the laft century w ere inftigated to burn for the fuppofed crime of w itch¬ craft. We have no reafon to fuppofe that an Ephefian mob was lefs inflammable or credulous than a Britilh mob, or that Apollonius played his part with lefs {kill than a Chriftian demonologift 5 and as the fpirits of our witches, who were facrificed to folly and fana- ticifm, were often fuppofed to migrate from their dead bodies into the bodies of hares or cats accidentally palling by, fo might this impoftor at Ephefus per¬ fuade his cruel and credulous inftruments, that the fpirit of their vidim had taken poffeflion of the body of the [bagged dog. Still it may be faid, that in magic and divination events have been produced out of the ordinary courfe of nature j and as we cannot fuppofe the Supreme Being (b) “ In hoc rupis anfra&u, media ferme montis altitudine, planities exigua eft, atque in ea profundum teme foramen, quod in oraculo patet, ex quo frigidus fpiritus, vi quadam velut vento in fublime expulfus, mentes vatum m vecordiam vertit, impletafque deo refponfa confulentibus dare cogit.” Just. lib. xxiv. d. 10. (c) The learned author, by arguments too tedious to be here enumerated, confirms the reafoning which we have borrowed from him; and jikewife {hows from hiftory, that the priefts, before they came to extremities with the fa¬ cred rock, had entered into treaty with thofe barbarians, and paid them a large tribute to decamp and quit the country. This adds greatly to the probability of his account of the explofion ; for nothing but the abfolute im- poflxbihty of getting quit of their befiegers by any other means, could have induced the priefts to hazard an ex¬ periment fo big with danger to themfelves as w ell as to their enemies. M AG C 3 8 MafilC, ®eing to have countenanced fuch abominable praftices by the interpofition of his power, we muft neceflaxily attribute thofe efFe£ts to the agency of demons, or evil fpirits. Thus, when TEneas confulted the Sibyl, the agency of the infpiring god changed her whole ap¬ pearance : i u Pofcere fata Tempus,” ait: “ Deus, ecce, Deus.” Cui talia fanti Ante fores, fpbito non vultus, non color unus, Non comptae manfere comae : fed peftus anhelum. Jit rabie fera corda tument j majorque videri, Nec mortale fonans: afflata eft numine quando Jam propiore Dei. * ■ 11■ 11 Aloud {he cries, “ This is the time, inquire your deftinies. He comes, behold, a god !” Thus while {he faid, And ftiivering at the facred entry ftaid, Her colour chang’d, her face was not the fame ; And hollow groans from her deep fpirit came j Her hair ftood up ; convulfive rage poffefs’d Her trembling limbs, and heav’d her lab’ring breaft j Greater than human kind ftie feem’d to look, And with an accent more than mortal fpoke. Her ftaring eyes with fparkling fury roll, When all the god came milling on her foul.” Dryden. In anfwer to this, it is to be obferved, that the temple of Apollo at Cumse was an immenfe excava¬ tion in a folid rock. The rock was probably of the fame kind with that on which the temple of Delphi was built, full of fiffures, out of which exhaled per¬ petually a poifonous kind of vapour. Over one of thefe fiflures was the tripod placed, from which the prieftefs gave the oracle. Now we learn from St Chryfoftom, that the prieftefs was a woman : “ Quae in tripodes fedens expanfa malignum fpiritum per in¬ terna immiffum, et per genitales partes fubeuntem exci- piens, furore repleretur, ipfaque refolutis crinibus bac- charetur, ex ore fpumam emittens, et lie furoris verba loquebatur.” By comparing this account with that quoted above from Juftin, which is confirmed both by Paufanias and by Strabo, it is evident, that what Chryfoftom calls malignum fpiritum was a particular kind of vapour blown forcibly through the fiffure of the rock. But if there be a vapour of fuch a quality as, if received per partes genitales, would make a wo¬ man furious, there is furely no neceflity for calling into the feene at Cumae the agency of a demon or evil fpi¬ rit. Befides, it is to be remembered, that in all myf- tical and magical rites, fuch as this was, both the priefts, and the perfons confulting them, prepared themfelves by particular kinds ef food, and fometimes, * Vide £,?*-as ^ere is reafon to believe, by human facrifices *, for tani Phar- the approach of the god or demon whofe aid they in- falia,\fo- vi. voked. On the prefent occafton, we know from the et Arnob- p0et himfelf, that a cake was ufed which was compo- ^^fntes> fed of poppy-feed and honey ; and Plutarch fpeaks of a ftxrub called leucophi/llus, ufed in the celebration of the myfteries of Hecate, which drives men into a kind of frenzy, and makes them confefs all their wickednefs which they had done or intended. This being the cafe, the illufions of fancy occafioned by poppy will fufficiently account for the change of the fibyl’s ap- 2 ] MAG pearance, even though the inhaled vapour ftxould not Magic, have pofiefled that efficacy which Chryfoftom and Juftin attribute to it. Even fome forts of our ordi¬ nary food occafion ftrange dreams, for which onions in particular are remarkable. Excelfive drunkennefs, as is well known, produces a diforder named by the bacchanalians of this country the blue devils, which confifts of an immenfe number of fpeftres, accompa¬ nied with extreme horror to the perfon who fees them. From thefe fa£ts, which cannot be denied, there muft arife a fufpicion, that by ufing very unna¬ tural food, fuch as human blood, the vileft of infedls, ferpents, and medicated cakes, by {hutting themfelves up in folitudes and caves, and by deviling every me¬ thod to excite horrid and dreadful ideas or images in the fancy, the ancient magicians might by natural means produce every phenomenon which they attri¬ buted to their gods or demons. Add to this, that in ancient times magic was ftudied as a fcience. Now, as we cannot fuppofe that every one who ftudied it intended abfolutely nothing, or that all who believed in it were wholly deceived j what can we infer, but that the fcience confifted in the knowledge of thofe drugs which produced the phantoms in the imagina¬ tion, and of the method of preparing and properly employing them for that purpofe ? The celebrated Friar Bacon indeed, as far back as the 13th century, wrote a book de Nullitate Magia : but though we ftiould allow that this book proved to demonftration, that in his time no fuch thing as magic exifted, it never could prove that the cafe had always been fo. At that time almoft all the fciences were loft j and why not magic as well as others ? It is likewife an undoubted fadft, that magic at all times prevailed among the A- fiatics and Africans more than among the Europeans. The reafon doubtlefs was, that the former had the re- quifites for the art in much greater perfection than we. Human facrifices were frequent among them j they had the moft poifonous ferpents, and the greateft variety of vegetable poifons, together with that power¬ ful narcotic opium ; all which were of efiential ufe in myftical and magic rites. They had, befides, a burn¬ ing fun, frightful deferts and folitudes ; which, toge¬ ther with extreme falling, were all called in to their affiftance, and were fufheient to produce, by natural means, the moft wonderful phenomena which have ever been attributed to magical incantations. Even in our own days, we have the teftimony of two travellers, whom we cannot fufpeCl to be either liars or enthu- fiafts, that both the Indians and Africans perform feats for which neither they nor the moft enlightened Eu¬ ropeans can account. The one is Mr Grofe, who vi- fited the Eaft Indies about the year 17625 and the other is Mr Bruce, who informs us, that the inhabi¬ tants of the weftern coaft of Africa pretend to hold a communication with the devil, and verify their afier- tions in fuch a manner that neither he nor other tra¬ vellers know what to make of it; but it does not from this follow, that Mr Bruce believed that communica¬ tion to be real. We have all feen one of the moft il¬ literate men that ever affumed the title of Doflor, per¬ form feats very furprifing, and fuch as even a philo- fopher would have been puzzled to account for, if he had not been previoufly let into the fecret 5 and yet no man fuppofes that Katterfelto holds any communica- ' tion M MAG [ 353 ] MAG Ma»ic> tion with the devil, although he has fometimes pre- —-V-tended it among people whole minds he fuppofed un¬ enlightened. Still it may be obje&ed, that we have a vail num¬ ber of hiltories of witches, who in the lall century confeffed, that they were prefent with the devil at cer¬ tain meetings; that they were carried through the air, and faw many tlrange feats performed, too numerous and too ridiculous to be here mentioned. The bell aifwer to this objeftion feems to be that given by Dr ■Manchef- Ferriar in his effay on Popular Illufions *. “ The fo- tr Tranf letnn meeting of witches (fays he) is fuppofed to be [tiem, pUt beyond all doubt by the numerous confelfions of o1'111, criminals, who have deferibed their ceremonies, named the times and places of their meetings, with the per- fons prefent, and who have agreed in their relations, though feparately delivered. But I would obferve, firil, that the circumftances told of thofe feitivals are in themfelves ridiculous and incredible j for they are reprefented as gloomy and horrible, and yet with a mixture of childilh and extravagant fancies, more like¬ ly to difgult and alienate than conciliate the minds of their guefts. They have every appearance of un- eafy dreams. Sometimes the devil and his fubjedls fay mafs ; fometimes he preaches to them more com¬ monly he was feen in the form of a black goat, fur- rounded by imps in a thoufand frightful lhapes; but none of thefe forms are new, they all referable known quadrupeds or reptiles. Secondly, I obferve, that there is dire6l proof furnilhed even by demonologiils, that all thofe fuppofed journeys and entertainments were no¬ thing more than dreams. Perfons accufed of witch¬ craft have been repeatedly watched about the time they had fixed for their meeting : they have been feen to anoint themfelves with foporific compofitions; af¬ ter which they fell into profound fleep ; and on awak¬ ing feveral hours afterwards, they have related their journey through the air,, with their amufement at the feftival, and have named the perfons whom they faw there.’* This is exa&ly conformable to the pra&ice of the ancient magicians and diviners, and feems to be the true way of accounting, as well for many of the phenomena of magic, as for that extravagant and fhameful fuperftition which prevailed fo much during part of the laft century, and by which fuch numbers of innocent men and women were cruelly put to death (c).^ We may indeed be affured, that the devil has it not in his power to reverfe in a Angle inftance the laws of nature without a divine permiflion j and we can conceive but one occafion (fee Possession) on which fuch permiflion could be given confidently with the wifdom and the goodnefs of God. All the tales, therefore, of diabolical agency in magic and witchcraft muff undoubtedly be falfe 5 for a power, which the devil is not himfelf at liberty to exert, he cannot communicate to a human creature. Were the cafe otherwife j were thofe powers, “which (according to Johnfon) only the controul of Omnipotence re- ftrains from laying creation wafte, fubfervient to the invocations of wicked mortals; were thofe fpirits,—— Vol. XII. Part I. -— of which the lead: could wield The elements, and arm him with the force Of all their regions,” permitted to work mi¬ racles, and either to inflift on to remove dileafes at the delire of their capricious votaries, how comfortlefs and wretched would be the life of man ! But the matter has been long ago determined by the failure of Pharaoh’s magicians ; who, though by legerdemain they imitated fome of the miracles of Moles, could not form the vileft infedl, or Hand before the difeafe which he infli&ed up¬ on them as well as upon others. The revival of learning, and the fuccefs with which the laws of nature have been inveliigated, have long ago banilhed this fpecies of magic from all the en¬ lightened nations of Europe. Among ourfelves, none but perfons grofsly illiterate pay the lead regard to magical charms ; nor are they anywhere abroad more prevalent than among the inhabitants of Lapland and Iceland. Thefe people, indeed, place an abfolute confidence in the effedls of certain idle words and ac¬ tions : and ignorant failors from other parts of the .world are deceived by their aflertions and their cere¬ monies. The famous magical drum of the Laplanders is Hill in condant ufe in that nation ; and Scheffer, in his Hidory of Lapland, has given an account of its drudture. This indrument is made of beech, pine, or fir, fplit in the middle, and hollowed on the fiat fide where the drum is to be made. The hollow' is of an oval figure $ and is covered with a Ikin clean dreffed, and painted with figures of various kinds, fuch as dars, funs and moons, animals and plants, and even countries, lakes, and rivers; and of later days, fince the preaching of Chridianity among them, the afts and fufferings of our Saviour and his apodles are often added among the red. All thefe figures are feparated by lines into three regions or cluders. There is, befides thefe parts of the drum, an index and a hammer. The index is a bundle of brafs or iron rings, the bigged of which has a hole in its middle, and the fmaller ones are hung to it. The hammer or drumdick is made of the horn of a rein-deer $ and with this they beat the drum fo as to make thefe rings move, they being laid on the top for that purpofe. In the motion of thefe rings about the pidlures figured on the drum, they fancy to themfelves fome predidlion in re¬ gard to the things they inquire about. What they principally inquire into by this indru- ment, are three things. I. What facrifices will prove mod acceptable to their gods. 2. What fuccefs they diall have in their feveral occupations, as hunting, fifti- ing, curing of difeafes, and the like j and, 3. What is doing in places remote from them. On thefe feveral occafions they ufe feveral peculiar ceremonies, and place themfelve^ in various odd poftures as they beat the drum $ which influences the rings to the one or the other fide, land to come nearer to the one or the other fet of figures. And when they have done this, they have a method of calculating a difcovery, which they keep as a great fecret, but which feems ^ 7 merely (c) For fome farther account of popular illufions, fee Animal Magnetism, M A G Magic, Magic Square. merely the bufinefs of the imagination in the diviner or magician. , Magic Square, a fquare figure, formed of a feries of numbers in mathematical proportion j fo difpofed in parallel and equal ranks, as that the fums of each row, taken either perpendicularly, horizontally, or diagonal¬ ly, are equal. Let the feveral numbers whichcompofe any fquare number (for inftance, I, 2, 3, 4, 5, &c. to 25 inclufive, the fquare number) be difpofed, in their natural order, after each other in a fquare figure of 25 cells, each in its cell ; if now you change the order of thefe numbers, and difpole them in the cells in fuch manner, as that the five numbers which fill a horizontal rank of cells, being added together, {hall make the fame fum with the five numbers in any other rank of cells, whether horizontal or vertical, and even the fame number with the five in each of the two diagonal ranks : this dif- pofition of numbers is called a magic fquare, in oppofi- tion to the former difpofition, which is called a natural fquare. See the figures following. [ 35+ ] MAG Natural Square. Magic Square. aU _2!J I2II3 35 22I23 A iilks X9I20 24|25, 16 14 One would imagine that thefe magic fquares had that name given them, in regard this property of all their ranks, which, taken any way, make always the lame fum, appeared extremely furprifing, efpecially in certain ignorant ages, when mathematics paffed for magic : but there is a great deal of reafon to fufpeft, that thefe fquares merited their name {till farther, by the fuperftitious operations they were employed in, as the conftrudtion of talifmans, &c. j for, according to the childilh philofophy of thofe days, which attributed virtues to numbers, what virtue might not be expect¬ ed from numbers fo wonderful ? However, what was at firft the vain praCtice of ma¬ kers of talifmans and conjurers, has fince become the fubjeCt of a ferious refearch among mathematicians $ not that they imagine it will lead them to any thing of folid ufe or advantage (magic fquares favour too much of their original to be of much ufe) ; but only as it is a kind of play, where the difficulty makes the merit, and it may chance to produce fome new views of numbers, which mathematicians will not lofe the occafion of. Eman. Mofchopulus, a Greek author of no great antiquity, is the firft that appears to have fpoken of magic fquares : and by the age wherein he lived, there is reafon to imagine he did not look on them merely as a mathematician. However, he has left us fome rules for their conftruCtion. In the treatife of Cor. Agrippa, fo much accufed of magic, we find the fquares of feven numbers, viz. from three to nine inclufive, difpofed magically $ and it muft not be fuppofed that thofe feven numbers were preferred to all the other without fome very good reafon : in effeCt, it is becaule their fquares, according to the fyftem of Agrippa and his followers, are planetary. The fquare of 3, for in- 3 , fiance, belongs to baturn j that of 4 to Jupiter j that of 5 to Mars j that of 6 to the Sun j that of 7 to Ve¬ nus j that of 8 to Mercury j and that of 9 to the ' Moon. M. Bachet applied himfelf to the ftudy of magic fquares, on the hint he had taken from the pla¬ netary fquares of Agrippa, as being unacquainted with the work of Mofchopulus, which is only in manufcript in the French king’s library j and, without the aflift- ance of any author, he found out a new method for thofe fquares whofe root is uneven, for inftance 25, 49, &c. butfche could not make any thing of thofe whofe root is even. After him came M. Frenicle, who took the fame fubje 3> 4> 5* 7, being in each rank, muft of neceffity make the fame fum. It appears, from this example, that the arrangement of the numbers in the firft rank being chofen at plea- fure, the other ranks may be continued in four differ¬ ent manners; and fince the firft rank may have 5040 different arrangemevts, there are no lefs than 20,160 different manners of conftrufting the magic fquare of feven numbers repeated. Magic SquaiC- The order of the numbers in the firft rank being de¬ termined ; if in beginning with the fecond rank, the fecond number 2, or the laft number 7, fhould be pitch¬ ed upon in one of thefe cafes, and repeated ; and in the other cafe, the other diagonal would be falfe un- lefs the number repeated feven times fhould happen to be 4 ; for four times ftven is equal to the fum of I, 2, 3, 4, 5, 6, 7 : and in general, in every fquare confifting of an unequal number of terms, in arithme¬ tical progreffion, one of the diagonals would be falfe according to thofe two conftruftions, unlefs the term always repeated in that diagonal were the middle term of the progreffion. It is not, however, at all necef- fary to take the terms in an arithmetical progreffion ; for, according to this method, one may conftruft a magic fquare of any numbers at pleafure, whether they be according to any certain progreffion or not. If they be in an arithmetical progreffion, it will be proper, out of the general method, to except thofe Y y 2 two MAG Magic Square. two conitru£tions which produce a continual repetition of the fame term in one of the two diagonals^ and only to take in the cafe wherein that repetition would pre¬ vent the diagonal from being juft j which cafe being abfolutely difregarded when we computed that the fquare of 7 might have 20,160 different conftru&ions, it is evident that by taking that cafe in, it muft have vaftly more. To begin the fecond rank with any other number befides the fecond and the laft, muft not, however, be looked on as an univerfal rule : it holds good for the fquare of 7 ; but if the fquare of 9, for inftance, were to be conftrufted, and the fourth figure of the firft horizontal rank were pitched on for the firfi: of the fecond, the confequence would be, that the fifth and eighth horizontal ranks would likewife commence with the fame number, which would therefore be re¬ peated three times in the fame vertical rank, and oc- ealion other repetitions in all the reft. The general rule, therefore, muft be conceived thus : Let the number in the firft rank pitched on, for the commence¬ ment of the fecond, have fuch an exponent for its quota j that is, let the order of its place be fuch, as that if an unit be taken from it, the remainder will not be any juft quota part of the root of the fquare $ that is, cannot divide it equally. If, for example, in the fquare of 7, the third number of the firft horizontal rank be pitched on for the firft of the fecond, fuch conftruc- tion will be juft ; becaufe the exponent of the place of that number, viz. 3, fubtradling 1, that is, 2 can¬ not divide 7. Thus alfo might the fourth number of the fame firft rank be chofen, becaufe 4—1, viz. 3, cannot divide 7 $ and, for the fame reafon, the fifth or fixth number might be taken : but in the fquare of 9, tlm fourth number of the firft rank muft not be ta¬ ken, becaufe 4—1, viz. 3, does divide 9. The rea- ion of this rule will appear very evidently, by confi- dering in what manner the returns of the fame num¬ bers do or do not happen, taking them always in the fame manner in any given feries. And hence it fol¬ lows, that the fewer divifions the root of any fquare to be conftrufted has, the more different manners of conftrufting it there are ; and that the prime numbers, i. e. thofe which have no divifions, as 5, 7, 11, 13, &c. are thofe whofe fquares will admit of the moft va¬ riations in proportion to their quantities. The fquares conftrufled according to this method have fome particular properties not required in the problem ; for the numbers that compofe any rank pa¬ rallel to on.e of the two diagonals, are ranged in the lame order with the numbers that compofe the diago¬ nal to which they are parallel. And as any rank pa¬ rallel to a diagonal muft neceffarily be fhorter, and have fewer cells than the diagonal itfelf, by adding to it the correfpondent parallel, Tirjl Primitive. which has the number of cells by which the other falls Ihort of the diagonal, the numbers of thofe two parallels, placed as it were end to end, ftill follow the fame order with thofe of the di¬ agonal : befides that their fums are likewife equal $ fo that they are magical on another account. 41 5. Inftead of the fquares which we C 356 ] MAG 2 I 2 6 j 7 1 2 Second Primitive. 7 *4 28 35 283542i 28 21 28 21 3542 7\H ‘8!3J 21 have hitherto formed by horizontal ranks, one might alfo form them by vertical ones 3 the cafe is the fame in both. All we have hitherto faid regards only the firft pri¬ mitive fquare, whofe numbers, in the propofed ex¬ ample, were, 1, 2, 3, 4, 5, 6, 73 here ftill remains the fecond primitive, whofe num¬ bers are o, 7, 14, 21, 28, 35, 42. M. de la Hire proceeds in the fame manner here as in the former ; and this may like¬ wife be conftrudted in 20,160 different manners, as contain¬ ing the fame number of terms with the firft. Its conftnnftion being made, and of confequence all its ranks making the fame fum, it is evident, that if we bring the two into one, by adding together the num¬ bers of the two correfponding cells of the two fquares, that is, the two numbers of the firft of each, the two numbers of the fecond, of the third, &c. and difpofe them in the 49 correfponding cells of a third fquare, it will likewife lie magical in regard to its rank, formed by the addition of equal fums to equal fums, which muft of neceflity be equal among themfelves. All that re¬ mains in doubt is, whether or no, by the addition of the correfponding cells of the two firft fquares, all the cells of the third will be filled in fuch manner, as that each not only contains one of the numbers of the pro- greflion from 1 to 49, but alfo that this number be dif¬ ferent from any of the reft, which is the end and de- fign of the whole operation. As to this it muft be obferved, that if in the con- ftruftion of the fecond primitive fquare care has been taken, in the commencement of the fecond horizontal rank, to obferve an order with regard to the firft, dif¬ ferent from what was obferved in the conftruftion of the firft fquare ; for inftance, if the fecond rank of the firft fquare began with the third term of the firft rank, and the fecond rank of the fecond fquare commence with the fourth of the firft rank, as in the example it aflually does 3 each number of the firft fquare may be combined once, and only once, by addition with all the numbers of the fecond. And as the numbers of the firft are here I, 2, 3, 4, 5, 6, 7, and thofe of the fecond, °> 7> I4’ 2I> 28* 35’ 42 i combining them in this manner we have all the numbers in the progreflion from 1 to 49, without having any of them repeated 3 which is the perfect magic fquare propofed. 1 he neceflity of conftrufting the twTo primitive fquares in a different manner does not at all hinder but that each of the 20,160 conftruftions of the one may be combined with all the 20,160 conftru&ions of the other : of confequence, therefore, 20,160 multiplied by itfelf, which makes 406,425,600, is the number of different conftruftions that may be made of the per- fe£t fquare, which here confifts of the 49 numbers of the natural progreflion. But as we have already ob¬ ferved, that a primitive fquare of feven numbers re¬ peated PerfeB Square. 34 4243 Magic Square. -MAG [ 357 ] MAG Magic peated may have above 20,160 feveral conftruftions, Square, number 406,425,600 muft come vaftly fhort of ex- prefling all the poflible contiruftions of a perfect magic fquare of the 49 firfl numbers. As to the even fquares, he conftrufts them like the uneven ones, by two primitive fquares j but the con- ftruftion of primitives is different in general, and may be fo a great number of ways ; and thofe general dif¬ ferences admit of a great number of particular varia¬ tions, which give as many different conftru£tions of the fame even fquare. It fcarce feems poflible to de¬ termine exadlly, either how many general differences there may be between the conftruftion of the primitive fquares of an even fquare and an uneven one, nor how many particular variations each general difference may admit of; and, of confequence, we are ftill far from being able to determine the number of different con- ftru&ions of all thofe that may be made by the primi¬ tive fquares. The ingenious Dr Franklin feems to have carried this curious fpeculation farther than any of his prede- ceffors in the fame way. He has conftrudled not only a magic fquare of fquares, but likewife a magic circle of circles, of which we (hall give, fome account for the amufement of our readers. The magic fquare of fquares is formed by dividing the great fquare, as in Plate CCXCVIII. The great fquare is divided into 256 fmall fquares, in which all the numbers from 1 to 256 are placed in 16 columns, which may be taken either horizontally or vertically. The properties are as follow: 1. The fum of the 16 numbers in each column, ver¬ tical and horizontal, is 2056. 2. Every half column, vertical and horizontal, makes 1028, or half of 2056. 3. Half a diagonal afcending added to half a dia¬ gonal defcending, makes 2056 ; taking thefe half dia¬ gonals from the ends of any fide of the fquare to the middle thereof; and fo reckoning them either upward or downward, or fide wife from left to right hand, or from right to left. 4. The fame, with all the parallels to the half dia¬ gonals, as many as can be drawn in the great fquare; for any two of them being dire&ed upward and down¬ ward, from the place where they begin to that where they end, their fums will make 2056. The fame downward and upward in like manner : or all the fame if taken fidewife to the middle, and back to the fame fide again. N. B. One fet of thefe half diagonals and their parallels is drawn in the fame fquare upward and downward. Another fuch fet may be drawn from any of the other three fides. 5. The four corner numbers in the great fquare, added to the four central numbers therein, make 1028 ; equal to the half fum of any vertical or horizontal co¬ lumn which contains 16 numbers ; and equal to half a diagonal or its parallel. 6. If a fquare hole (equal in breadth to four of the little fquares) be cut in a paper, through which any of the 16 little fquares in the great fquare may be feen, and the paper be laid on the great fquare, the fum of all the 16 numbers, feen through the hole, is Magic equal to the fum of the 16 numbers in any horizontal S^uare’ or vertical column, viz. to 2056. The magic circle of circles, Plate CCXCVIII. is com- pofed of a feries of numbers from 12 to 75 inclufive, di¬ vided into eight concentric circular fpaces, and ranged in eight radii of numbers, with the number 12 in the centre *, which number, like the centre, is common to all thefe circular (paces, and to all the radii. The numbers are fo placed, that the fum of all thofe in either of the concentric circular fpaces above men¬ tioned, together with the central number 12, make 360 ; equal to the number of degrees in a circle. The numbers in each radius alfo, together with the central number 12, make juft 360. The numbers in half of any of the above circular fpaces, taken either above or below the double horizon¬ tal line, with half the central number 12, make 180 ; equal to the number of degrees in a femicircle. If any four adjoining numbers be taken, as if in a fquare, in the radial divifions of thefe circular fpaces, the fum of thefe, with half the central number, makes 180. There are, moreover, included, four fets of other circular fpaces, bounded by circles which are eccentric with refpedt to the common centre ; each of thefe fets containing five fpaces. The centres of the circles which bound them are at A, B, C, and D. The fet whofe centre is at A is bounded by dotted lines; the fet whofe centre is at C is bounded by lines of (hort unconnected ftrokes; and the fet round D is bounded by lines of unconnected longer ftrokes, to diftinguilh them from one another. In drawing this figure by hand, the fet of concentric circles (hould be drawn with black ink, and the four different fets of eccentric circles with four kinds of ink of different colours; as blue, red, yellow, and green, for diftinguilhing them readily from one another. Thefe fets of eccentric cir¬ cular fpaces interfeCt thofe of the concentric, and each other; and yet the numbers contained in each of the eccentric fpaces, taken all around through any of the 20 which are eccentric, make the fame fum as thofe in the concentric, namely 360, when the central number 12 is added. Their halves alfo, taken above or below the double horizontal line, with half the central num¬ ber, make 180. Obferve, that there is not one of the numbers but what belongs at lead to two of the circular fpaces, fome to three, fome to four, fome to five ; and yet they are all fo placed as never to break the required number 360 in any of the 28 circular fpaces within the primi¬ tive circle. To bring thefe matters in viewy all the numbers as above mentioned are taken out, and placed in feparate columns as they (land around both the concentric and eccentric circular fpaces, always beginning with the outermoft and ending with the innermoft of each fet, and alfo the numbers as they (land in the eight radii, from the circumference to the centre : the common central number 12 being placed the loweft in each co¬ lumn. I. In Magic Square, MAG i. In the eight concentric circular {paces. [ 358 ] MAG 25 30 41 46 57 62 73 12 I360 72 23 65 31 67 12 74 12 72 63 56 47 40 31 24 J5 12 360 360 25 63 16 70 18 68 27 61 12 23 16 39 32 55 48 71 64 12 360 360 3° 56 39 49 37 51 28 58 12 65 70 49 54 33 38 *7 22 12 21 18 37 34 53 50 69 66 12 67 68 51 52 35 36 *9 20 12 12 27 28 43 44 59 60 75 12 360 I360 (360 (360 2. In the eight radii. 41 4^ 57 62 47 40 31 24 32 55 48 71 54 33 38 17 34 53 5° 69 52 35 36 19 43 44 59 60 45 42 29 26 12 12 12 12 74 61 58 45 42 29 26 J3 12 360 360 73 J5 64 22 66 20 75 *3 12 360 I360 (360 J360 [360 3. In the five eccentric circular {paces whole centre is at A. J4 63 39 54 33 48 24 73 12 72 16 49 34 53 38 71 !5 12 360 I360 23 70 37 52 35 50 J7 64 12 85 18 51 43 44 36 69 22 12 21 68 28 45 42 59 J9 66 12 In ihs 360 I360 I360 five eccentric circular fpaces whole centre is at B. 30 47 55 38 64 /2 25 I 2 56 32 33 50 69 22 23 63 12 39 54 53 36 J9 66 65 16 12 49 34 35 59 60 20 21 70 12 37 52 44 29 26 75 67 18 12 360 I360 I360 I360 360 In the five eccentric circular fpaces whofe centre is at C. 33 46 31 71 22 65 16 56 41 12 360 40 48 J7 66 21 70 39 47 12 360 55 38 69 20 67 18 49 32 12 50 J9 75 12 68 37 54 12 360 1360 53 36 60 J3 74 27 Sl 34 12 360 6. In the five eccentric circular fpaces whofe centre at D. 62 J5 24 70 49 32 40 57 12 360 24 64 65 18 37 54 55 31 12 360 71 22 21 68 51 34 33 48 12 360 J7 66 67 27 28 52 53 38 12 360 69 20 12 61 58 43 35 50 12 360 14 72 25 I 63 6 If, now, we take any four numbers, in a fquare form, either from N° 1. or N° 2. (we fuppofe from N° 1.) as in the margin, and add half the central number 12 to them, the fum will be 180; equal to half the numbers in any circular fpace taken above or below the double hori¬ zontal line, and equal to the number of degrees in a femicircle. Thus, 14, 72, 25, 63, and 6, make 180. Magic Lantern. See Dioptrics, art. x. MAGICIAN, one who praftifes magic, or hath the power of doing wonderful feats by the agency of fpirits. Among the eaftern nations it feems to have been formerly common for the princes to have magicians about their court to confer with upon extraordinary oc- cafions. And concerning thefe there hath been much deputation : fome fuppofing that their power was only feigned, and that they were no other than impoftors V'ho impofed on the credulity of their fovereigns; while others have thought that they really had lome unknown connexion or correfpondence with evil fpirits, and could by their means accomplifh what otherwife would have been impoflible for men. See the article Magic. MAGINDANAO, or Mindanao. See Min¬ danao. MAGISTERY, an old term in chemiftry, given to precipitates. Thus, magijlery and precipitate are fyno- nymous j formerly precipitate was a general term, and magijlery applied to particular precipitates, fuch as the magiftery of bifmuth, &c. See Bismuth, Chemistry Index. MAGISTRATE, any public officer to whom the executive power of the law is committed either wholly or in part. MAGLIABECHI, Antony, a perfon of great learning, and remarkable for an amazing memory, was born at Florence in 1633. father died when he was only feven years old. His mother had him taught grammar and drawing, and then put him apprentice to one of the belt goldfmiths in Florence. When he was about 16 years old, his paffion for learning began to appear j and he laid out all his money in buy¬ ing books. Becoming acquainted with Michael Er- mini, librarian to the cardinal de Medicis, he foon per- fe£ted himfelf by his affiftance in the Latin tongue, and in a little time became mafler of the Hebrew. His name foon became famous among the learned. A prodigious memory was his diftinguiffiing talent $ and he retained not only the fenfe of what he had read, but M A G [ 359 j MAG but frequently all the words ?ud the very manner of bcchi fpelling. It is faid that a gentleman, to make trial II of the force of his memory, lent him a manufcript he '.a^a" was going to print. Some time after it was returned, _Y—the gentleman, coming to him with a melancholy countenance, pretended it was loft, and requefted Ma- gliabechi to recoiled what he remembered of it; up¬ on which he wrote the whole, without miffing a word. He generally (hut himfelf up the whole day, and open¬ ed his doors in the evening to the men of letters who eame to converfe with him. His attention was fo ab- ferbed by his ftudies, that he often forgot the molt urgent wants of nature. Cofmo III. grand duke of Florence, made him his librarian j but he ftill conti¬ nued negligent in his drefs, and limple in his manners. An old cloak ferved him for a morning gown in the day and for bed-clothes at night. The duke, however, provided for him a commodious apartment in his pa¬ lace, which he was with difficulty perfuaded to take pofleffion of j but which he quitted four months after, and returned to his houfe. He was remarkable for his extraordinary modefty, his fincerity, and his benefi¬ cence, which his friends often experienced in their wants. He was a patron of men of learning ; and had the higheft pleafure in affifting them with his advice and information, and in furnilhing them with books and manufcripts. He had the utmoft averfion at any thing that looked like conftraint j and therefore the grand duke always difpenfed with his perfonal attend¬ ance, and fent him his orders in writing. Though he lived a very fedentary life, he reached the Sift year of his age ; and died in the midft of the public applaufe, after enjoying, during the latter part of his life, fuch affluence as few have ever procured by their learning. By his will, he left a very fine library to the public, with a fund for its fupport. MAGLOIRE, St, a native of Wales in Great Britain, and coufin german to St Sampfon and St Mal- lo. He embraced a monaftic life, and went into France, where he was made abbot of Dol, and after that a pro¬ vincial bilhop in Britanny. He afterwards founded a monaftery in the ifland of Jerfey, where he died on the 14th of October 575, about the age of 80. His re¬ mains were tranfported to the fuburb of St Jacques, and depofited in a monaftery of Benedi&ines, which was ceded to the fathers of the oratory in 1628. It is now the feminary of St Magloire, celebrated on ac¬ count of the learned men whom it has produced.— This faint cultivated poetry with confiderable fuccefs : the hymn which is fung at the feaft of All Saints was compofed by him j Ccelo quos eadem gloria confe- crat, &c. MAGNA ASSISA ELIGENDA, is a writ anciently directed to the ftieriff for fummoning four lawful knights before the juftices of affize, in order to choofe 12 knights of the neighbourhood, &c. to pafs upon the great affize between fuch a perfon plaintiff and fuch a one defendant. Magna Ckarta. See Charta. MAGNANIMITY, denotes greatnefs of mind, particularly in circumftances of trial and adverfity.— \utici of It has been juftly obferved of it, that it is the good "r’the ^en^e Pr^e» and the nobleft way of acquiring ap- ji, plaufe. It renders the foul fuperior to the trouble, diforder, and emotion, which the appearance of great danger might excite j and it is by this quality that Magna- heroes maintain their tranquillity, and preferve the n>mity- free ufe of their reafon, in the moft furprifing and dreadful accidents. It admires the fame quality in its enemy 5 and fame, glory, conquefts, defire of opportu¬ nities to pardon and oblige their oppofers, are what glow in the minds of the brave. Magnanimity and courage are infeparable. 1. The inhabitants of Privernum being fubdued and takep prifoners after a revolt, one of them being alk- ed by a Roman fenator, who was for putting them all to death, what punilhment he and his fellow captives deferved ? anfwered with great intrepidity, “ We de- ferve that puniftiment which is due to men who are jealous of their liberty, and think themfelves worthy of it.” Plautinus perceiving that his anfwer exafpe- rated fome of the fenators, endeavoured to prevent the ill effefts of it, by putting a milder queftion to the prifoner : How would you behave (fays he) if Rome ftiould pardon you ?” “ Our conduit (replied the generous captive) depends upon yours. If the peace you grant be an honourable one, you may de¬ pend on a conftant fidelity on our parts : if the terms of it be hard and diftionourable, lay no ftrefs on our adherence to you.” Some of the judges conftrued. thefe words as menaces j but the wifer part finding in them a great deal of magnanimity, cried out, that a nation whofe only defire was liberty, and their only fear that of lofing it, w’as worthy to become Roman. Accordingly, a decree paffed in favour of the prifon¬ ers, and Privernum was declared a municipium. Thus the bold fincerity of one man faved his country, and gained it the privilege of being incorporated into the Roman ftate. 2. Subrius Flavius, the Roman tribune, being im¬ peached for having confpired againft the life of the emperor Nero, not only owned the charge, but glo¬ ried in it. Upon the emperor’s afking him what pro¬ vocation he had given him to plot his death. Be- caufe I abhorred thee (faid Flavius), though there was not in the whole army one more zealoufiy attached to thee than I, fo long as thou didft merit affe£tion j but I began to hate thee when thou becameft the murderer of thy mother, the murderer of thy brother and wife, a charioteer, a comedian, an incendiary, and a tyrant.” Tacitus tells us, that the whole confpiracy afforded no¬ thing which proved fo bitter and pungent to Nero as this reproach. He ordered Flavius to be immediately put to death, which he fuffered with amazing intrepidity. When the executioner defired him to llretch out his neck valiantly, “ I wifli (replied he) thou mayeft ftrike as valiantly.” 3. When the Scythian ambaffadors waited on Alex¬ ander the Great, they gazed attentively upon him for a long time without fpeaking a word, being very pro¬ bably furprifed, as they formed a judgment of men from their air and ftature, to find that his did not an¬ fwer the high idea they entertained of him from his fame. At laft, the oldeft of the ambaffadors (accord- ing to Q. Curtius) addreffed him thus : “ Had the gods given thee a body proportionable to thy ambition, the whole univerfe would have been too little for thee. With one hand thou wouldft touch the eaft, and with the other the weft ; and, not fatisfied with this, thou wouldft follow the fun, and know where he hides . himfelf. MAG Magna ni mi tv. Rapin'* Hijl. ann. 5159. • himfelf. But what have we to do tvith thee ? we ne- ^ ver fet foot in thy country. May not thofe who in¬ habit woods be allowed to live, without knowing who thou art, and whence thou comeft ? We will neither command over, nor fubmit to, any man. And that thou may eft be fenlible what kind of people the Scy¬ thians are, know, that we received from heaven as a rich prefent, a yoke of oxen, a ploughftiare, a dart, a javelin, and a cup. Thefe we make ule of, both with our friends and againft our enemies. To our friends we give corn, which we procure by the labour of our oxen ; with them we offer wine to the gods in our cup ; and with regard to our enemies, we combat them at a diftance with our arrows, and near at hand with our javelins. But thou, who boafteft thy coming to extirpate robbers, thou thyfelf are the greateft robber upon earth. Thou haft plundered all nations thou overcameft j thou haft poffeffed thyfelf of Lydia, in¬ vaded Syria, Perfia, and Baddriana ^ thou art forming a defign to march as far as India •, and now thou com¬ eft hither to feize upon our herds of cattle. The great poffeflions thou haft, only make thee covet more eager¬ ly what thou haft not. If thou art a god, thou oughteft to do good to mortals, and not deprive them of their jjoffeffions. If thou art a mere man, refledl always on what thou art. They whom thou ftialt not moleft will be thy true friends, the ftrongeft friendfhips being con- tradled between equals ; and they are efteemed equals who have not tried their ftrength againft each other; but do not imagine that thofe whom thou conquereft can love thee.” 4. Richard I. king of England, having inverted the caftle of Chalus, was (hot in the Ihoulder with an ar¬ row j an unfkilful furgeon endeavouring to extradt the weapon, mangled the flefh in fuch a manner, that a gangrene enfued. The caftle being taken, and per¬ ceiving he fhould not live, he ordered Bertram de Gourdon, who had (hot the arrow, to be brought in¬ to his prefence. Bertram being come, “ What harm (faid the king) did I ever do thee, that thou fhouldft kill me ?” The other replied with great mag¬ nanimity and courage, “ You killed with your own hand my father and two of my brothers, and you likewife defigned to have killed me. You may now fatiate your revenge. I Ihould cheerfully fuffer all the torments that can be infli£ted, were I fure of hav¬ ing delivered the world of a tyrant who filled it with blood and carnage.” This bold and fpirited anfwer ftruck Richard with remorfe. He ordered the pri- foner to be prefented with one hundred Ihillings, and fet at liberty : but Maccardec, one of the king’s friends, like a true ruffian, ordered him to be flayed alive. 5. The following modern inftance is extra£led from a French work entitled, Ecole hijlorique et mo¬ rale du foldat, &c. A mine, underneath one of the outworks of a citadel, was intrufted to the charge of a ferjeant and a few foldiers of the Piedmontefe guards. Several companies of the enemy’s troops had made themfelves mailers of this work 5 and the lofs of the place would probably foon have followed had they maintained their poll in it. The mine was charged, and a Angle fpark would blow them all into the air. The ferjeant, with the greateft coolnefs, ordered the foldiers to retire, defiring them to requeft the king to [ 360 3 MAG Magnet take care of his wife and children ; ftruck fire, fet a Magnani match to the train, and i’acrificed himfelf for his coun- mity try. MAGNESA, or Magnesia, in Ancient Geography > a town or a diltridt of Theflaly, at the foot of Mount Pelius, called by Philip, the Jon of Demetrius, one of the three keys of Greece, (Paufanias). MAGNESIA, or Magnesia alba, in Ghemijlry a peculiar kind of earth. See Chemistry Index. * Black Magnesia. See Manganese, Chemistry and Mineralogy Index. Magnesia, in Ancient Geography, a maritime di- ftrnft of Theffaly, lying between the fouth part of the Sinus Thermai'eus and the Pegafaeus to the fouth, and to the eaft of the Pelafgiotis. Magnates, the people. Magnejius and MagneJ/us, the epithet; (Horace). Magnesia, a town of Afia Minor on the Msean- der, about 15 miles from Ephefus. Themiftocles died there : it was one of the three tosvns given him' bv Artaxerxes, with thefe words, “ to furnilh his table with bread.” It is alfo celebrated for a battle which was fought there, 190 years before the Chriftian era, between the Romans and Antiochus king of Syria! The forces of Antiochus amounted to 70,000 men ac¬ cording to Appian, or 70,000 foot and 12,000 horfe according to Livy, which has been exaggerated by Florus to 300,000 men j the Roman army confifted of about 28,000 or 30,000 men, 2000 of whom were employed in guarding the camp. The Syrians loft 50,000 foot and 4000 horfe ; and the Romans only 300 killed, with 25 horfe. It was founded by a co¬ lony from Magnefia in Theffaly ; and was commonly called Magnefia ad Mceandrum, to diftinguiffi it from another called Magnefa ad Sipylum in Lydia at the foot of Mount Sipylus. Magnesia ad Sipylum, anciently Tantalis, the refi- dence of Tantalus, and capital of Maeonia, where now Hands the lake Sale. A town of Lydia, at the foot of Mount Sipylus, to the eaft of the Hermus*, adjudged free under the Romans. It was deftroyed by an earth¬ quake in the reign of Tiberius. MAGNET (Magnes) the Loadstone ; a fpecies of iron ore. See Magnetism, and Mineralogy Index. The magnet is alfo called Lapis Heraclevs, from Heraclea, a city of Magnefia, a port of the ancient Lydia, where it is faid to have been firlt found, and from which it is ufually fuppofed to have taken its name. Though others derive the word from a Ihep- herd named Magnes, who firft difcovered it with the iron of his crook on Mount Ida. It is alfo called Lapis Nauticus, from its ufe in navigation ; and f de¬ rites, from its attra&ing iron, which the Greeks call The ancients reckoned five kinds of magnets, differ¬ ent in colour and virtue ; the Ethiepic, Magnefian, Bceotic, Alexandrian, and Natolian. They alfo took it to be male and female : but the chief ufe they made of it was in medicine j efpecially for the cure of burns and defluxions on the eyes.—The moderns, more for¬ tunate in its application, employ it to condudl them in their voyages. See Navigation. The moft diftinguiftied properties of the magnet are, That it attracts iron, and that it points to the poles of the world $ and in other circumftances alfo dips or in¬ clines MAG dines to a point beneath the horizon, dire&ly under the pole 5 and that it communicates thefe properties, by touch, to iron. On which foundation are built the ma¬ riner’s needles, both horizontal and inelinatory. Attractive Power of the MAGNET was known to the ancients •, and is mentioned even by Plato and Euri¬ pides, who call it the Herculean Jlone, becaufe it com¬ mands iron, which fubdues every thing elfe : but the knowledge of its diredive power, whereby it difpofes its poles along the meridian of every place, and occa- fions needles, pieces of iron, &c. touched with it, to point nearly north and fouth, is of a much later date j though the exaft time of its difcovery, and the difco- verer himfelf, are yet in the dark. The firft mention we have of it is in 1260, when Marco Polo the Venetian is faid by fome to have introduced the mariner’s compafs $ though not as an invention of his own, but as derived from the Chinefe, who are faid to have had the ufe of it long before ; though fome imagine that the Chinefe rather borrowed it from the Europeans. Elavio de Gioia, a Neapolitan, who lived in the 13th MAG century, is the perfon ufually fuppofed to have the bed title to the difcovery ; and yet Sir G. Wheeler men¬ tions, that he had feen a book of ailronomy much old¬ er, which fuppofed the ufe of the needle j though not as applied to the ufes of navigation, but of aftro- nomy. And in Guyot de Previns, an old French poet, who wrote about the year 1180, there is exprefs mention made of the loadftone and the compafs, and their ufe in navigation obliquely hinted at. The Variation of the MAGNET, or its declination from the pole, was firft difcovered by Seb. Cabot, a Venetian, in 15005 and the variation of that variation, by Mr Gellibrand, an Englilhman, about the year 1625. See Variation. Laftly, The dip or inclination of the needle, when at liberty to play vertically, to a point beneath the ho¬ rizon, was firft difcovered by another of our country¬ men, Mr R. Norman, about the year 1576- See the article Dipping NEEDLE. MAGNETICAL needle. See Needle, Mag- netical. [ 361 ] Magnet, Magneti- cal. MAGNETISM. INTRODUCTION. General Principles. 1 eneral TF the mineral body called magnet or loadfione (an ea of X ore 0f jron which will be defcribed under Minera- agnet m. L0GY) js brought within a moderate diftance from a piece of iron or fteel, or other ferruginous body, fuch as a fmall key, a fewing needle, or the like, the ferru¬ ginous body will approach the magnet 5 and if no ob- ftacle intervene, will come in contaft with it, and the two bodies will adhere together, fo as to require an 2 evident force to feparate them from each other. [agnetic Again, if a magnet be freely balanced, fo that it jlarity or be left at liberty to affume any direftion, as if it be redtive fufpended by a thread, or made to float on the furface nver. 0f water by placing it on a piece of cork or wood, it will foon fettle itfelf in one particular direftion, fo as to turn one part of its furface towards the northern point ef the horizon, and the oppofite part of courfe towards the fouthern point. Thefe two parts of the furface of the magnet are called its north and fouth poles ; this property of the magnet, of afluming this particular di¬ rection, is called its polarity, or its directive poweri and when a magnet is placed fo as to arrange itielf in j fuch a diredtion, it is faid to traverfe. •eclination The direction in which a fufpended magnet finally 'tlie mao- fettles is called the magnetic meridian, and it is differ¬ ent in different places, and at different times. It is ge¬ nerally, however, very different from the real meridian line, fo that the north pole of a magnet declines a little to the eaft or weft, and the fouth pole to the weft or eaft. The difference of the magnetic from the aftrono- miqal meridian, is called the declination, or variation of the magnet 5 and the declination is faid to be eaft or weft, according as the north pole of the magnet verges to the one or the other of thefe points. If an oblong magnet be fufpended on a pivot by its Vol. XU. Part I. centre of gravity, it does not fettle in a perfedlly hori- Dipping of zontal pofition, but one of its poles is depreffed belowinagnet* the horizontal line, and the other elevated as far above it, making an angle with the horizon that is alfo dif¬ ferent on different parts of the earth’s furface. I his depreflion of one of the^poles is called the dipping of the magnet. If two magnets that are each freely fufpended, be 5 brought within a moderate diftance from each other, fo that the north pole of the one is oppofed to the fouth pole of the other, they will attraft each other 5 and it no obftacle intervene, w ill rufh together : but if the two north poles, or the two fouth poles, be mutually oppofed, the magnets will repel each other. Such are the leading properties of what is called the 41 natural magnet 5 but what is of more importance, as we fhall fee hereafter, any piece of iron or fteel may, by being rubbed with a natural magnet, or by fome other proceffes to be afterwards explained, be made to acquire the fame properties, and thus in every uft ful refpeft ferve the fame purpofes as the natural magnet. Thefe pieces of iron or fteel thus magnetifed, are called artificial magnets 5 and when they are of a {lender, oblong form, they are termed magnetic needles. When afterwards we fpeak of the polarity, the declination, or the dipping of the magnetic needle, we would be un- derftood as alluding to thefe (lender, oblong, artificial magnets. ^ A ftraight line joining the two poles of a magnet is Axis and called its axis, and a line drawn tranfverfely on the (ur-equator ot face of the magnet, perpendicular to the axis, is called11 rnaSnet' the equator. g The properties of natural and artificial magnets Magnetic above enumerated, are attributed to the agency of fomepcwer- unknown force or power, either inherent in the mag¬ net, or imparted to it by the proceffes to which it is fubjefted. This force is fometimes called tnagnetifm, but we (hall for the prefent denominate it the magnetic Z z power. 36* M A G N !hc lelm °»gn«tifin to the fcieoce * v—— t^at ^^uftrates and attempts to explain the pheno- p mena. r Utility'of 'I'he moft important property of the magnet is its maguetifo. polarity, as it is by means of this that the mariner is enabled to find his way along the tracklefs ocean, where, before the difcovery of this important property, he had no other guide but the ftars, and could there¬ fore feldom venture far from the coaft. It is by this property too, that the miner is enabled to purfue a di- left courfe through the bowels of the earth, or the tra¬ veller direft his fteps through immenfe forefts, or over iandy deferts. I he ufes of the magnet are therefore obvious and important, and the fcience which places tnefe ufes in the bed point of view, and thus enables us to turn them to the greated advantage, is well deferv- Jng our attention. Many of the fads to be related un¬ der this article are highly curious, and form a pleafing addition to thofe fcientific amufements which are fo well calculated to excite the attention of beginners in the io ftudy of experimental philofophy. Works on It is unneceffary for us to attempt giving here a hif- magneti in. toly 0f origjn ancj progrefs 0f our knowlec}ge in magnetiim. lo a general reader, it would be uninte- reding, and to fuch as are better informed, fuperflu- ous. We diall only mention the mod important works that have appeared on the fubjeft. Few treatifes exprefsly on magnetifm have appeared in this country. In the year 1600, Dr Gilbert, a phy- fician of Colcheder, and the friend of Lord Bacon, publilhed an excellent work Be Magnete et Corporibus Magneticis, which is dill perhaps the mod valuable that we poffefs. Mr Cavallo’s Treatife on Magnetifm, fird publdhed in 1787, contains a great variety of fafts and experiments 5 and a neat compendium of it is given in the 3d volume of the fame author’s Elements of Na- t^al ^nd Experimental Philofophy. Mr Cavallo’s Ixcatiie, and Mr Adams’s Efiay on Magnetifm, form the fubdance of mod of the compilations on this fubjedt that have lately appeared. lo thofe who wilh to enter minutely on the dudy of magnetifm, the following lift of foreign publications re¬ commended by the late Profeffor Robifon of Edinburgh will be acceptable. vEpini Tentamen Theoriae Magn. et Eledtr. Eberhard’s Pentam. d. heor. Magnetifmi, 1720. Differtations fur 1’Aimant, par Dufay, 1728. Mufchenbroek Differt, Phyfico-Experimentalis de Magnete. Pieces qui ont emporte la prife del’Acad. des Scien¬ ces a Paris fur la meilleure conftruaion des Bouffoles de declination. Recueil des pieces couronnees, tom. v. Euleri Opufcula, tern. Hi. continens Theoriam Mag- netis. Berlin, 1751. JEpini Oratio Academica, 1758. riEpini item Comment. Petrop. nov. tom. x. Anton. Brugmanni Tentamen. Phil. deMateriaMag- netica. Franquerae, 1765. 2 here is a German tranjlatian of this work by Eifen- bach, with many valuable additions. Scarella de Magnete, 2 tom. fol. \ an Swinden fur 1’Analogic entre les phenomenes Eledfriques et Magnetiques, 3 tom. 8vo. Differtation fur les Aimants Artificielles, par Nicho¬ las Ful's, 1782. r E T 1 s M. ' ‘ Cha., Elfai fur I’Origme des Forces Magnetiques, par M. Magnetic; cV0V A- . . APP?-r'I 22.8 22.8 16,0 lTS 16.9 43.9 12,8 4,9 4,7 55.6 56>o 47.4 3°,9 25,2 Face weft. 72 71 72 72 72 72 72 72 72 72 72 72 72 72 72 72 72 72 71 71 71 71 71 71 71 71 71 71 70 M 59,o 17,6 2,2 1.8 10.8 11.9 9.5 9.6 7.9 7,9 6.7 6,7 2,5 2.5 2,0 2,0 0,0 59.4 57.7 36,1 9.5 10,9 J4,5 14.5 13.5 5.6 9.9 55.7 Face eaft. Face weft. True dip 71 72 72 72 72 72 72 72 72 72 71 72 72 72 72 72 72 71 71 71 71 71 70 71 71 71 70 70 70 57.3 0,4 2.4 2.2 1,0 1.5 o,5 o,5 4.2 4.2 59.9 59.3 2,9 2,9 2,7 2.7 2.6 51.9 38.9 40.2 37.2 13.9 56.3 2.3 7.7 II,5 52.4 40.5 26.9 72 72 7i 71 7i 7i 7i 71 71 71 7i 7i 7i 71 71 71 71 71 71 7i 7i 71 70 70 70 70 69 69 69 5,1 ' 1,2 46.7 58.4 56,0 55.8 52,2 52,2 52.9 52.9 55.1 55.2 51,0 51,0 50.3 50,3 48.8 31.1 42.8 40.2 9.4 44.7 19.8 22.2 7.9 38.2 46,7 36.3 72 72 72 72 72 72 72 72 72 72 72 72 72 72 72 72 72 7i 71 71 7i 71 70 70 70 70 70 70 70 8,1 7.6 3.6 3.4 2.5 6.9 5.9 6.6 7.8 6.8 6.4 5.9 5.7 4.9 4.7 4.4 4,0 54,8 54.6 53.7 23.7 11.4 59.2 55.4 55,o 52.2 35,6 32,0 21,0 1777 *774 i777 J773 1799 * P/;//. Tranf 1806. To MAGNETISM. To what was laid under DjPPING Needle, refpedting of a 22 A magnet attiadls the conftruftion of that inftrument, wre may add, that notwithftanding the great improvements that have been lately made in the arts, the making of a dipping nee¬ dle is one of the moft delicate and difficult talks that an inltrument-maker can undertake. The needle muft be made of tempered Heel which ive are certain has no magnetifm before it is touched j it mult be poifed fo nicely, and with fuch a perfect coincidence of its cen¬ tre of gravity and axis of motion, that it will retain any pofition (before being magnetifed) that is given it. A good dipping needle cannot be had below twenty gui¬ neas. Sect. II. On Magnetic AttraBion and Repuljion. A magnet attra£is iron, and all bodies, into the com- pojition of which 'iron enters in any confiderable degree. iron and all This principle is illultrated by very limple experiments, bodies1”0115 which will readily occur to every reader. It is of con- fequence here to obferve, that the purer and fofter the iron to w hich the magnet is prefented, the Itronger will be the attra&ion ; thus, a magnet attracts a piece of foft and clean iron much more ftrongly than it attra£ls any other ferruginous body of the fame lhape and weight. Hard Iteel, or the harder ores of iron, are lefs forcibly attraffed than foft Heel, and dill lefs than foft iron $ and all pieces of iron are lefs forcibly attraft- ed in proportion as they are more oxygenated. The attraflive power of a magnet is not equally ftrong on every part of its furface. It is mod powerful at the poles of the magnet, and it is found to diminidi in proportion as the part of the furface is more didant from the poles. Thus, in an oblong magnet, the at- traftion is lead at about its middle, where it is often very trifling. It is by this property of the magnet that we are en- findfrig the abled to difeover the poles of a magnet, where they are poles of a not ye£ afcertained j a circumdance w'hich is often ne- ' ceflary with refpeft to natural magnets, in which, when of an irregular lhape, it would otherwife be diffi¬ cult to difeover the poles. The ufual method of afeer- taining the poles of a magnetic body is, to prefent va¬ rious parts of the body to be examined, fucceflively to the poles of a magnetic needle, when it will foOn be difeovered which parts of the body have mod influence on the needle, by the pole of the latter handing per¬ pendicularly to that part of the body. It will prefently •appear, that in this way it may alfo be afeertained which of thefe poles is the north, and which the fouth, as the fouth pole of the body under examination will have mod influence on the north pole of the needle, and vice verfa. A good magnet Ihould have no more than two poles, and thefe Ihould be fituated in the extreme furface of the magnet •, but it fometimes happens, efpecially in na¬ tural magnets, and in artificial magnetic bars, if they be very long, that there are more than two poles, or that the poles are very confufed. For example, in a very long magnetifed bar, there may be a drong north pole at one extremity, a fouth pole a little farther on, then a weaker north pole, and fo on to the extremity, which will be found pofleffed of a dill weaker fouth po¬ larity. Thefe poles are to be difeovered by prefenting to the feveral parts of the bar one or other of the poles [22] Attra<5tion greateft at the poles. 23 Method of Chap. ]j magnetic needle j for, as we lhall immediately Expenn l mention, each pole of the needle will be attracted to-tal 11 wards that part of the rod which is poffeded of the con-, tlt;ns trary polarity. ,r‘' The attractive power of the magnet and the iron is mod forcible when the two bodies are in conraft, and it diminilhes as they are made to recede from tach other. The exaft law according to which this diminu¬ tion takes place, has nor yet been completely afeertain¬ ed. We {hall fee in the next chapter, what approxi¬ mation has been made to it. A magnet is not capable of lifting above a certain Differeni weight of iron j and all magnets of the fame form andatttadiv fize are not able to lift the fame weight. Among thePoweroi natural magnets the fmalleft feem in general to poffefs maSI1£ts a greater attraClive power in proportion to their fize, than thofe of larger dimenfions. Mr Cavallo mentions a fmall magnet that weighed not more than 6 or 7 grains, and was capable of lifting about 300 grains j and Sir Ifaac Newton poffeffed a magnet that he wore in a ring, weighing but about 3 grains, which is faid to have lift¬ ed 746 grains, or nearly 250 times its own weight. The larger natural magnets are very weak in proportion to thefe. Thofe of two pounds fcarcely lift more than ten times their own weight. It feems extraordinary, that a piece cut off from a large magnet is fometimes much dronger in refpeft of its attractive power, than the magnet from which it w'as taken. » It has been faid that the attractive power of magnets is greateft at their poles. Both poles, however, are feldom equal in this refpeCt j and it appears, that in thefe northern parts of the world, the north pole of magnets is more powerful than the fouth. In the fouth- ern hemifphere the contrary effeCt is faid to take place. The attractive power of the magnet is mod forcible when both poles are made to aCt conjointly j hence an armed magnet, or one.of the horfe-ihoe form, is bed adapted for experiments on the force of magnetic at¬ traction. It is of little confequence whether the iron that is 25 prefented to the magnet be in one piece, or confid of feveral pieces. The attraction is indeed dronger in the former cafe ; but if feveral pieces of iron are prefented to the magnet, they will either all adhere about the pole of the magnet, or w ill adhere to each other, fo as to form a fort of chain. If a fmall iron ball be made to adhere to the pole of a magnet, this ball will fupport a fecond \ and this latter, if the magnet be pretty ftrong, will fupport a third. If the magnet be of the horfe-{hoe form, and have thefe three balls hanging by one ball, if two others be fufpended from the other pole, all the five may be made to adhere, fo as to form a curved chain. It will be evident, that pieces of iron which prefent a greater extent of furface than the above fpherical balls, will be more powerfully attradvd. One of the moft pleafing experiments on the aitrac-Addon clj tion of the magnet for iron, is (hewn by means of iron”13'11^( ru* iron film filings. Exper.—Let a paper be placed above a bar magnet, and let iron filings be fiiaken on the paper through a gaufe fieve. They will arrange themfelves round the magnet in a very beautiful manner, forming curves and arches of curves, as reprefented in fig. 6. At the two Fig. ft ends of the magnet, as a a, there are chains of filings ftanding out nearly perpendicular j and along the fides • they i7 ttra&wn ;tween e magnet id iron utual. hap. II. M A G N penmen- they form complete curves, bending outwards away Illuftra-frorn tha magnet towards its middle, and having their t10^ extremities bounded by the poles of the magnet ; and at the corners there are a number of arches that feem to form imperfeft curves. A limilar effedt may be produced by ftrewing iron filings on a piece of paper, lb as to leave a vacancy in the middle, capable of receiving a bar magnet. When the magnet is placed on the paper, and the paper gently tapped, fo as to agitate the filings, thefe will arrange themfelves about the magnet, in curves, as above de- fcribed. The form of thefe curves will be better defined if the magnet be laid at the bottom of an earthen or glafs veffel of water, and the iron filings be lifted over it fo as to pafs through the water. The attraction between a magnet and a ferruginous body is mutual. Exper—Place a piece of iron or other ferruginous body upon a piece of cork or wood, fo that it may float on the furface of water in an earthen or wooden veflel. Bring a magnet within a moderate diftance of the float¬ ing body, and the latter will approach the former, and may be drawn by it in any diredlion. Again, place the magnet on cork or wood, fo as to float on the wa¬ ter, and prefent to it a piece of iron, or other ferrugi¬ nous body. The magnet will now approach the iron, and may be drawn by it as the iron was before. Laft- ly, PI ace both the magnet and the iron on feparate pieces of wood or cork, within a moderate diftance of each other, on the furface of the water. They will gradually approach each other, with a velocity that becomes greater in proportion as they approach nearer each other. Magnetic attraction is not fcnfibly impeded by the in- terpofition of bodies of any kind, that do not contain iron in their compofitton. Exper.—Suppofe that a magnet, placed at the dif¬ tance of an inch from a piece of iron, exerts a certain dies not degree of attraction, it will be found that the attraftion •ruguious. js not fenfibly weakened by the interpofition of a plate of glafs, a flieet of paper, a piece of copper, or any other fimilar fubftance. A needle, inclofed in a glafs globe, will be ftiil attracted by the magnet. It is not eafy to afcertain correctly the degree of at- meaiur- tra&ive force exerted between a magnet and a ferrugi- iftlv at" nous The ufual method of obferving this is, to rCe 'e fallen a magnet to one arm of a balance, and placing the body to be attracted at different diltances below the magnet, to counterpoife the attraction with weights placed in the oppofite fcale of the balance. Proceeding in this way, then, if we find that it requires the weight of an ounce to counterpoife the attractive power of a magnet, when prefented immediately to a piece of iron, it will be found that it requires the fame counterpoife, if a plate of any matter that is not ferruginous be in- ,n terpofed. Not only is iron attracted by the magnet, but under certain circumjiances, one piece of iron exerts an attrac¬ tive power on another piece of iron. Exper.—-Let an oblong piece of iron be fixed in a fpherical piece of wood or cork, fo as to float in water in the true magnetic line, as in Exper. 2. of N° 16. When the iron is nearly in the magnetical pofilipn, Vol. XII. Part I. J3 agnetic tradlion t fenfibly Tened by e interpo- lon of 29 ml mode on at- afts iron certain nations. E T I S M. 369 bring the extremity of a large iron rod, as the point ofExpermten- a new poker, holding it in a pofition not very differenttal r<1" from that of the iron wire, within about a quarter of ..j an inch of the upper extremity of the floating iron, and hold it there for fome time, a little towards one fide. The floating wire will gradually approach the iron rod with an accelerated motion, will at length touch it, and may be drawn through the water in any diredtion. A fimilar attradlion will take place between the head of the poker and the extremity of the wire that is below the water. 31 The attractive power of the magnet is increafed by the Magnetic near approach of a piece of iron. . fnereafeef Exper. 1.—Suppofe we have a magnetic bar that isj^ron> capable of fupporting a fmall key by one of its extre¬ mities, but which will not lift a key fomewhat larger. If we bring a confiderable oblong piece of iron near the oppofite extremity of the bar, it will be found capable of fupporting the larger key, or at leaf! of lifting a weight fomewhat greater than it fuftained be¬ fore. Exper. 2.—Let an oblong magnetic bar be fupported in a horizontal pofition, and let a piece of iron wire, about an inch in length, be hung by a fhort thread, fo that its extremity is juft oppolite one of the poles of the magnetic bar, but fo far out of the reach of the bar’s attractive power as not to be brought from the perpen¬ dicular. Now, if a confiderable iron bar be brought with one end within a moderate diftance of the oppofite pole of the magnet, the fufpended wire will be drawn towards the magnet, thus the wing that the power of the latter has been increafed by the juxtapolition of the bar of iron. If the bar of iron be brought ftill nearer the oppofite pole of the magnet, the fufpended wire will be drawn ftill nearer its adjacent pole } but if the bar of iron be drawn back from the magnet, the wire will fall into its original pofition. This fadt leads to many important pradtical conclu- fions in the management of magnets. As the juxta- pofition of iron to the poles of a magnet improvqs its powers, we may infer, that if we keftp a piece of foft iron in contadl with the poles, the magnet will be im¬ proved by it ; and this is in fadt the cafe, and it thews the utility of the armature and condudtor mentioned in N° 13. But of this more hereafter. ' The attractive power of a magnet may be improved by Power of a increajing the weight appended to it. magnet m- This is belt drown by a horfe-lhoe magnet, having a y condudtor of foft iron attached to its two poles, and a weights to brafs ring at the convex part by which it may be fuf- it. pended. If a fmall bag be hung to the condudtor, and if the magnet is capable of fuftaining a certain weight at any particular time, it will, by adding a little more, fuppofe a few ftrot, to the bag, at moderate intervals, be made to.fupport gradually a much greater weight. If the magnet, on a firft trial, was able to lift a fmall key, it will foon be able to lift a larger one, &.c. How far this increafe of power may be carried, has not, we believe, yet been afeertained. It fometimes happens that a magnet does not fhew any great attractive power, as exemplified in its power of lifting a confiderable weight of iron, though it may have a great effedt in exciting or in altering magnetic polarity. This was obferved by Dr Gilbert, who re- 3 A marks 37° M A G N Experimen- marks that the ihre&ive power of a magnet extends tal than its attraBive power. The contrary poles of two wagnets attraB each other; that zV, the north the fouth, and vice verfa. Expet'. i,—Place two oblong magnets on cork or wood. !o as to fio'aft in water, or fufpend each by a pretty tions. 33 Contrary poles of magnets at- Fig- 7- 34 Correl pond¬ ing poles repel each, other. traft each thread, with the north pole of the one oppofed to other. the louth pole of the other. They will gradually ap¬ proach, and will at length rufh together. A fimilar effect will be produced, if the north pole of a bar magnet be held near the fouth pole of a mag¬ netic needle-, the latter will be attracted, and the fame th'n g will happen if the fouth pole of the bar is brought near the north pole of the needle. Exper. 2.—Take two femicircular magnets, and dip their extremities into iron filings. The filings will of coarfe adhere to the extremities of the magnets, and will appear as if radiating from them. Now, prefent the two magnets with their adhering filings to each other, fo that the north and fouth pole of the one is oppofite to the.contrary poles of the other, and the iron filings at their extremities will approach each other, and coalefce, as reprefented in fig. y. The attraction exerted between two magnets is not fo flrong in proportion, as between a magnet and a piece of foft iron in contact but it has been found to commence at a greater diftance. The correfponding poles of two magnets repel each other; that is, the north the north, and the fouth the fouth. Exper. i.—Make the two magnets float on w-ater, or fufpend them by threads, fo that the north or fouth pole of the one may be oppofite to the north or fouth pole of the other. They will recede from each other j and the repulfion will evidently be greater, in propor¬ tion as they are brought nearer together. Exper. 2.—Take two femicircular magnets, and dip their ends in iron filings, as mentioned above. Prefent them to each other, fo that their correfponding poles may be mutually oppofed. The filings at their extre¬ mities will {tart back, and leave a vacancy between the oppofed poles of the magnets, fomewhat like what is Fig. 8. reprefented in fig. 8. It fometimes happens that the correfponding poles of two magnets do not repel each other, but either mu¬ tually attract, or are quite indifferent. In this cafe, it will, in general, be found that one of them is ftronger than the other *, and the reafon of the phenomenon will appear hereafter. The repulfive power of a magnet is generally in a 35 lefs proportion than its attractive power. Ufual mode It is by the attractive power of the magnet that w-e of after- ufually afcertain w hether any fubftance be magnetic j whether a ^-at ’9» whether the magnet poflfefs any attractive power body is f°r it* If the body contain any confiderable quantity magnetic, of iron in its compofition, its magnetifrn is eafily afcer- taihed, by approaching it w ith the pole of a pretty ftrong magnetic bar. If, however, the magnetifm is too feeble to be difcovered in this way, it may be af- certaihed by placing the body on a piece of cork or wood, fo that it may float on the furface of water or mercury, in an earthen* or wooden veflel, and bringing the pole of the magnet within a fmall diftance of the floating body. It will fometimes be neceffary to bring a E T I S M. Chap. ] the magnet within one-tenth of an inch of the body, Experm when, if it poflelfes any magnetifm, it vdll gradually tal Ulufi approach the magnet. This experiment is moft fatis- tioi1s) faCtory when the body to be examined is made to float* ^ on mercury but in that cafe the veffel containing the mercury muft not be too fmall, otherwife the natural convexity of the furface of the mercury will caufe the floating body perpetually to fall down towards the fides of the veflel. A common foup plate will anfwer the purpofe very well. It is alfo neceffary that the mer¬ cury be very pure, and as clean as poflible. To infure this, it will be proper, before ufing the mercury, to pafs it through a conical piece of writing paper, rolled up fo as to terminate in a very fmall apertuie j or, what is better, to fqueeze it through a pretty thick piece of fhamois leather. It need ficarcely be remarked, that in thefe delicate experiments, the air of the room fliould be kept as ftill as poflible. By the above methods, Mr Cavallo and others dif¬ covered, that the following fubftances are in fome mea- fure affeCfed by the magnet. Moft metallic ores, efpe- cially after their having been expofed to a fire ; zinc7 bifmuth, and particularly cobalt, as well as their ores, are almoft always attraCied. Of the earths, the calca¬ reous is the leaft, if at all, and the filioeous is the moft; frequently, attraCfed. The ruby, the chryfolite, and the tourmalin, are attraCied. The emerald, and parti¬ cularly the garnet, are not only attraCied, but frequent¬ ly acquire a permanent polarity. The opal is weakly attraCied, elpecially after combuftion. Moft animal and vegetable fubftances, after combuftion, are attraCi¬ ed. Even foot, and the dull which ufually falls upon whatever is left expofed to the atmofphere, are fenfibly attrafted by the magnet. ^ “ It has long ago been remarked, that platina, nickel, Coulomb! and feveral other bodies, acquire a fenfible degree ofe*Perinie magnetifm j but fome philofophers attribute this pro-°nunive perty only to a portion of iron not eafy to be feparated,^^”^1' and conclude, that by obtaining a greater degree of purity, we might fucceed in rendering them perfeflly indifferent to the aClion of the magnetic bar. “ The new experiments which Citizen Coulomb has made and repeated before the inftitute, lead us on the contrary to think, that the aClion of magnetifm extends through all nature j for none of the bodies he has yet tried was found to refill this power. “ But however real this aClion may be, it is not a- like in all bodies, and in moft of them it muft be ne- eefiarily very fmall, to have efcaped the attention of philofophers to this time. In order therefore to exhi¬ bit and to meafure thefe refults, we muft begin by pla¬ cing the bodies in a fituation w hich {hall allow them to yield to the tveakeft aClion. “ For this purpofe, Citizen Coulomb falhioned his fubjeds into the'form of a cylinder or (mail bar; and in this Hate he fufpended them to a filken thread, futh as is drawn from the filk-worm’s cone, and in this ftate he placed them between the oppofite poles of two mag¬ netic bars of fteel. The fingle thread of filk could hardly bear the weight of a quarter of an ounce with¬ out breaking, confequently it became neceffary to form fmall bars very light and thin. Citizen Coulomb made them about feven or eight millimetres in length (or lefs than half an inch), with three-fourths of a millimetre (or hap. M A G N penmen- (or about an hundredth part of an inch) in thicknefs, Illuftra- ancj he gave the metals about one-third of this thick- tlon' nefi. ~''t “ In his experunents he placed the fteel bars in the fame right line, their oppofite poles being five or fix millimetres farther afunder than the length of the needle intended to ofcillate between them. The refult of the experiment Ihewed, that whatever might be the fubftance of the needle, it always difpofed jtfelf accord¬ ing to the direction of the two bars j and that if they were turned from this direction, they always recovered it, after ofcillations of which the number was often more than 30 per minute. It was therefore eafy in every cafe to determine, from the weight and figure of the needle, the force which had produced the ofcilla- tion. “ Thefe experiments were fuccefsfully made with fmall needles of gold, filver, copper, lead, tin, fmall cylinders of glafs, a piece of chalk, a fragment ©f bone, and different kinds of wood. “ Citizen Coulomb has proved, that the force of tor- fion of the filk thread is fo flight, that in order to draw it round the entire circle, it would require a force fcarcely equal to the one hundred thoufandth part of a gramm, (or about one feven hundredth part of a grain). A quantity fo minute cannot therefore fenfibly derange the meafure of magnetic force in the different bodies $ and its effeft, even if it were admitted to be of percep¬ tible magnitude, may alfo be urged in proof of the ge¬ neral conclufion of Citizen Coulomb, becaufe the mag¬ netic power muff overcome this refiftance of the thread in order to manifeft itfelf. Our author gives, in the third volume of the Memoirs of Natural Philofophy and Mathematics of the National Inftitute, a very fimple formula to determine the magnetic force of a body from the time of its ofcillations *, and he means to ftiew in another memoir, the method of determining this refult in different bodies of the fame figure placed between the poles of two bars. He thinks it now proved, that all the elements which enter into the compofition of our globe are fubje&ed to the magnetic power, and that the whole mafs colle&ively forms one Angle magnet. “ In favour of thofe who might be defirous of repeat¬ ing his experiments, and rendering them very fenfible, the author remarks, that the method of fucceeding con- lifts in diminiftiing the fize of the ofcillating bodies. From fome effays, of which the refults terminate this memoir, it feems to follow', that the accelerating forces are inverfely as the mafles, or very nearly in the diredft proportion of the furfaces j but Citizen Coulomb gives this rule only as a firft deduftion, which requires to be confirmed*.’1 The opinion of the general influence of magnetifm on all terreftrial bodies was, as we (hall fee hereafter, maintained by our countryman Dr Gilbert, though Coulomb has certainly the merit of having put it to the left of experiment. Befides the experiments which w'e have related, there are fonie that depend on the attractive power of the magnet, and which are ranked among fcientific amufe- ments. We ftiall here defcribe a few of thefe. Before we relate the manner of making thefe expe¬ riments, it may be proper to defcribe an inftrument that is employed in fome of them. This, from its form E T I S M. 371 and apparent ufe, is called the magnetic perfpeCHveExpenmen- glafs, and is thus conffruCled. ta* Provide an ivory tube about 2^- inches long, and of , fuch a form as is expreffed in fig. 9. The Tides of this 3S tube muft be fo thin as to admit a confiderable quanti-Conltmc- ty of light. It is to open at one end with a fcrew, and1'0110, t^e at that end muft be placed an eye-glafs of about twomap^i‘:j inches focus, and at the other end any glafs you pleafe. ^jafSi Have a fmall magnetic needle like that in a compafs.Fig. 9. It muft be ftrongly touched, and fo placed at the bot¬ tom of the tube that it may turn freely round. It is to be fixed en the centre of a fmall ivory circle C, of the thicknefs of a counter, placed on the objeft-glafs D, and painted black on the fide next it. This circle muft be kept fall by a circular rim of pafteboard, that the needle may not rife off its pivot, in the fame man¬ ner as in the compafs. This tube will thus become a kind of compafs fufficiently tranfparent to fliow the mo¬ tions of the needle. The eye-glafs ferves more clearly to diftinguifti the direction of the needle, and the glals at the other end, merely to give the tube the appear¬ ance of a common perfpe&ive glafs. It will appear, * from what has been already ftated, that the needle in this tube, when placed over and at a fmall diftance from a magnet, or any machine in which it is contain¬ ed, will neceffarily place itfelf in a pofition diredted by that magnet, and confequently (how where the north and fouth pole of it is placed ; the north end of the needle conftantly pointing to the fouth end of the mag¬ net. This effeft will take place, though the magnet be enclofed in a cafe of wood, or even metal. You muft obferve, however, that the attrafting magnet mud not be very far diftant from the needle, efpecially if it be fmall, as in that cafe its influence extends but to a (hort diftance. This tube may be differently conftrudt- ed, by placing the needle in a perpendicular diredlion, on a fmall axis of iron, on which it muit turn quite freely, between two fmall plates of brafs placed on each fide of the tube ; the two ends of the needle fhould be in exadl equilibrium. The north and fouth ends of the needle will, in like manner, be attracted by the fouth and north ends of the magnetic bar. The former conftruiEHon, however, appears preferable, as it is more eafily excited, and the fituation of the needle much more eafily diftinguiftied. Nichol. urn. 8vo, IL ii. 37. itertain- Exp. I. T/ie Communicative Piece of Money. 59 Take a crown or dollar, and drill a hole in the fide Coma.uni- of it, in which place a piece of wire, or a large needle cat‘vc-Pletf well polilhed, and ftrongly touched with a magnet.ot inone*v' Then clofe the hole with a fmall piece of pewter, that it may not be perceived. Now, the needle in the mag¬ netic perfpeftive before defcribed, when it is brought near to this piece of money, will fix itfelf in a direction correfponding to the wire or needle in that piece. De¬ fire any perfon to lend you a crown piece or dollar, which you dexteroufly change for one that you have prepared as above- Then give the latter piece to ano¬ ther perfon, and leave him at liberty either to put it privately in a fnuff-box, or not j he is then to place the box on a table, and you are to tell him by means of your glafs, whether -the crown is or is not in the box. Then bringing your perfpe&ive clofe to the box, you will know, by the motion of the needle, whether it be there or not $ for as the needle in the perfpedive will 3 A 2 always 372 M A G N t^TlIuftra'al'Va5rS- ^6eP t0 t^‘e n°r^1 ^ >r°u do not Per- tions. pe*ve l,as any motion, you conclude the crown is not u»»—in the box. It may happen, however, that the wire in the crown may be placed to the noijth, in which cafe you will be deceived. J herefore, to be fure of fuccefs, when you find the needle in the perfpeftive remain fta- tionary, you may, on fome pretence defire the perfon to move the box into another pofition, by which you will certainly know whether the crown-piece be there or not. You mud remember that the needle in the per- ipeflive muft here be very fenlible, as the wire in the crown cannot poffibly have any great attra&ive force. Exp. 2. The Magnetic Table. 4° Magnetic Under the top of a common table place a magnet table. that turns on a pivot, and fix a board under it, that nothing may appear. There may alfo be a drawer under the table, which you pull out to fhew that there is nothing concealed. At one end of the table there muft be a pin that communicates with the magnet, and by which it may be placed in different pofitions j this pin muft be fo placed as not to be vifible to the fpefla- tors* Strew fome fteel filings or very fmall nails over that part of the table where the magnet is. Then afk any one to lend you a knife or a key, which will then attraft part of the nails or filings. Then placing your hand in a carelefs manner on the pin at the end of the table, you alter the pofition of the magnet, and giving the key to any perfon, you defire, him to make the ex¬ periment, which he will then not be able to perform. You then give the key to another perfon, at the fame time placing the magnet, by means of the pin, in the firft pofition, when that perfon will immediately perform the experiment. Exp. 3. The Mysterious Watch. Serious '^ou defire any one in company who has a watch watch. with a fteel balance (b), to lend it you for a few mi¬ nutes, alking him whether it will continue to go when laid on the table. He will probably fay it will. To prove to him that he is wrong, you lay it on that part of the table below which you have previoufly placed a ftrong bar-magnet (as in Exp. 2.), fo that the watch may be above one of the poles. It will immediately Hop. Now, if you fluft the pofitien of the magnet, and give the watch to another perfon to lay it on the table, it will not flop ; but replacing the magnet, and defiring a third perfon to try the experiment, he will fucceed. All this, to thofe who are not acquainted with the fecret, will appear very extraordinary. 4* . Magnetic dial. Fig. 10. and 11. Exp. 4. The Magnetic Dial. Provide a circle of wood or ivory, of about five or fix inches diameter, as fig. 10. which muft turn quite free on the ftand B (fig. 11.), in the circular border A : on the circle muft be placed the dial of pafteboard C (fig. 10.), whofe circumference is to be divided into 12 equal parts, in which muft be infcribedthe numbers from x to 12, as on a common dial. There muft be a fmall groove in the circular frame D, to receive the E T I S M. Chap. U, pafteboard circle j and obferye that the dial muft be lixperimen. made to turn fo freely that it may go round without talIiiuftra- moving the circular border in which it is placed. Be- tions- tween the pafteboard circle and the bottom of the frame, place a fmall artificial magnet E (fig. i2.)p;o. that has a hide in its middle, or a fmall protuberance. ^ On the outfide of the frame place a fmall pin P, which ferves to (hew where the magnetic needle I, that is placed on a pivot at the centre of the dial, is to flop. This needle muft turn quite freely on its pivot, and its two Tides ftiould be in exaft equilibrium. Then pro¬ vide a fmall bag, that has five or fix divifions, like a lady’s work-bag, but fmaller. In one of thefe divifions put fmall fquare pieces of pafteboard on which are writ¬ ten the numbers from x to 12, and if you pleafe you may put feveral of each number. In each of the other divi¬ fions you muft put 12 or more like pieces, obferving, that all the pieces in each divifion muft be marked with the fame number. Now the needle being placed upon its pivot, and turned quickly about, it Avill ne- ceffarily ftop at that point where the north end of the magnetic bar is placed, and which you previoufly knew by the fituation of the fmall pin in the circular border. You therefore prefent to any perfon that divifion of the bag which contains the feveral pieces on which is writ¬ ten the number oppofite to the north end of the bar, and tell him to draw any one of them he pleafes. Then placing the needle on the pivot, you turn it quickly about, and it will neceffarily ftop, as we have already faid, at that particular number. Another experiment may be made with the fame dial, by defiring two perfons to draw each of them one number out of two different divifions of the bag j and if their numbers, when added together, exceed 12, the needle or index will ftop at the number they exceed it j but if they do not amount to 12, the index will ftop at the fum of thofe two numbers. In order to perform this experiment, you muft place the pin againft the number 5, if the two numbers to be drawn from the bag be 10 and 7 ; or againft 9, if they be feven and two. If this experiment be made immediately after the former, as it eafily may, by dexteroufly moving the pin, it will appear the more extraordinary. Exp. 5. The Divining Circles. On the top of a thin box, as AB fig. 13. pafte two Divining circles drawn on paper, as F, G, each of which is di- circles, vided into compartments. In thofe of one circle, as G, l$' are written queftions, and in thofe of the other, as F, appropriate anfwers. Through the centre of the circle G an axle paffes, carrying a toothed wheel, and which works into the pinion r mity has acquired a fimilar polarity. The fituation the poles, however, depends much on the form of the a(jjacent piece of iron, and on the part of its furface w’hich is pole of the prefented to the pole of the magnet. If the form be magnet* that of an oblong bar, one extremity of which is pre¬ fented to the pole, w'hich is the molt ufual cafe, the circumftances will be as we have juft mentioned. If the oblong bar be prefented to the pole in a perpendi¬ cular diredion, with its middle very near the pole of the magnet, this middle point will be poffeffed of a po¬ larity contrary to that of the adjacent pole, while the two extremities have acquired the fame polarity. If the prefented iron be in the form of a circular plate, and its centre be held near the pole of the magnet,, this centre will have the contrary polarity, and every point of the circumference the fame polarity. If the plate have its circumference fafhioned into points, each of thefe points will acquire a very ftrong polarity, con¬ trary to that of the pole near which the centre of the plate is held. The communication of magnetic power from the magnet 1 4* Induced 47 Apparent exception, 374 M A G N Experimen niagnet to the key in the foregoing experiments, will tions b.e ftl11 m°re ftrongly illuftrated by holding another v.—„„i piece of wire to the wire that is already fufpended by the key, Ihe new piece of wire will alfo be fufpend¬ ed, and fo feveral more may be fufpended by one ano¬ ther, like the links of a chain, according to the ftrength of the magnet. I his fa6t was known to the ancients, who fpeak of a loadftorte caufing an iron ring to carry another ring j and that a third, till the whole puts on the appearance of a chain. m i netifm ^ be ^oun^ lbe magnet has left none of its nagne 1 m. pOWer ^ proc}ucjng niagnetifm in the iron, and of courfe, that nothing has been transferred from the magnet to the iron. The magnetifm of the iron thus caufed by its juxtapolition to a magnet is called induced Tnagnetifmy or magnetifm by induction. There is an apparent exception to the univerfality of the above propofition. If the key be held in fuch a pofition as that it ftiall be perpendicular to the, magnet, with one extremity either oppofite one of the poles, or a little above the centre of the maghetj the bit of wire will not be attrafted by that extremity, and we may hence fuppofe that the key has acquired no magnetic power by its proximity to the magnet. But if we bring a needle or a piece of iron wire near its remote end, it will be ftrongly attracted, and (hew that end to have the fame polarity with the neareft pole of the magnet. Now, the ends both of the key and the wire that are next the magnet, having the fame polarity with the pole of the magnet neareft them, cannot attraft each other, but on the contrary will repel each other, and there¬ fore the wire cannot adhere to the key, though by the change produced by the other extremity, it is evident that the key has acquired magnetic power. There is, however, one exception. If the key in the ftfft experiment, with the wire hanging to it, be carried from any of the fituations there defcribed, towards the middle of the magnet, the wire will fall off as foon as it arrives very near the middle. If we fuppofe a plane to pafs through the centre of the magnet in a direction perpendicular to its axis, fo as to form the magnetic equator, a flender piece of iron held any where within this plane can acquire no fenfible magnetifm, which is demonftrated by its fhewing no figns of polarity, and not being attradfed by the magnet. Now it is well known that the greateft aflivity of a magnet refides in its two poles, and that thofe magnets are the beft in which this aftivity is leaft diffufed. A certain circumference of every magnet is entirely inaftive, as we fee in the experiment with the iron filings defcribed in N° 26. where the filings colled themfelves principally on two points of the furface, between which there is a fpace all round, to which no filings are attached. Many cir- tumftances fhew that the two poles of a magnet have contrary adions •, the north pole producing a ftrong northern polarity in the remote end of an iron bar brought near it, and a fouth polarity in the proximate end, while an oppofite effed is produced by its fouth pole. Now’, adopting this principle, that 'he adions of the two poles are oppofite, it follows that if thefe adions afe equal, and ad in a fimilar manner, each muft coun- terad and prevent the adion of the other, and pro¬ duce what may be called a magnetic equilibrium. Therefore it a fh-nder iron rod or thin plate be placed fo -that every part of it lies within the magnetic equator, 48 Real ex ception. E.TISM. Chap. ii. it will exhibit no magnetifm, will not be attraded by Experimen. the magnet, and will not attrad iron. This will beta!Ehiftra" feen more fatisfadorily when we have explained the tions- theory of magnetifm. ^ J The confideration of the above important fads will enable us to explain, efpecially after what will be ftated in the next chapter, the produdion or communi¬ cation of magnetifm in all the methods by which thefe are ufually effeded. Magnetifm may be produced artificially in a piece of Artigcia! iron or fteel, by various methods. magnetifm I. By touching the iron or fteel either with a watara/produced; magnet, or with a feel bar already magnetised. S° The procefs of communicating magnetifm by natural ^ or artificial magnets, or by what has been called touch-‘ ing, has undergone various improvements and modifica¬ tions, which we (hall endeavour briefly to trace. The moft Ample method of magnetizing a bar of Old me- fteel is to apply the north pole of a magnet to that ex- thods. tremity of the bar which we wifti to acquire a fouth po¬ larity. In this way, merely by contad, a flight degree of magnetic power will, after feme time, be imparted to the bar, and the communication will be expedited by ftriking the bar fo as to make it found. Only a flight degree of magnetifm can, however, be communicated in this way, and unlefs the fteel bar be very Ihort, its poles will be much confufed. Another method of communicating magnetifm to a bar of this kind is, to apply the pole of a magnet to one end of the bar, and pafs it on to the other end, giving a moderate degree of preffure. This is repeated feveral times on both fides of the bar, taking care always to begin the ftroke at the fame end as at firft, and inftead of drawing the magnet back along the bar, lifting it up every time that we come to the other end. The fol¬ lowing defeription will beft explain the mode of com¬ municating magnetifm in this way, by one or two mag¬ netic bars. When only one magnetic bar is to be made ufe of, one of its poles muft be applied as reprefented fig. 15. Fig. 15. where CD reprefents the needle or fteel bar to be im¬ pregnated. The magnet AB is then to be drawn all along the furface of it, till it reaches the extremity D. The magnet being then removed, rauft be applied to the extremity C, and drawn over the needle as before. Thus the needle muft be rubbed feveral times, by which means it will acquire a confiderable degree of magnetifm. In this method, the other extremity of the needle which the magnet touched laft acquires the contrary magnetifm j that is, if B be the north pole of the magnet, C will be the north pole and D the fouth of the needle. This method, however, is never found tci be equally effectual with that in which two magnets, or both poles of one magnet, are made ufe of. To communicate magnetMm by means of two mag¬ netic bars, place the bar or needle AB, fig. 16. upon aFfir. iC. table ; then fet the two magnetic bars CD, EF, 0 ftraight upright upon it at a little diftance, equal on both fides from the middle of the bar AB, and in fuch a manner that the fouth pole D of one of the bars may be neareft to that end of the bar AB which is to be¬ come the north pole, &c. Thefe two bars muft then be did gradually towards one extremity of the bar, keeping them conftantly at the fame diftance from each other j and when one of them, for inftance CD, is ar¬ rived :hap. II. M A G N Ixperimen-rived at A, then they muft be (lid the contrary way, U IHuftra-gp arrives at B ; and thus the bar AB muft be tlons rubbed a greater or fmaller number of times, till it will be found by trial to have acquired a confiderable power. When the magnetic bars are powerful, and the bar AB of very good fteel, and not very large, a dozen of ftrokes are fully fufficient; but when the bars are to be removed from the bar AB, care muft be ta¬ ken to bring them to the fame fituation where they were firft placed ; viz. a little and equal diltance from the middle of the bar AB, from which they may be lifted l,P- The mode of employing two bars inftead of one was an improvement, and the method was ftill farther im¬ proved by placing them in an inclined petition, with their extremities C, E, remote from each other, and Hiding them contraryways from the middle towards each extremity of the bar AB, lifting them up when they come to the extremities, and replacing them on the middle of the bar, thus repeating the operation as often as required. Method of Horfe-lhoe bars, or thofe of a femicircular form, may outh be magnetized in a fimilar manner, except that the urvedbars. 1Tiagnetjc bars employed for the purpofe muft follow the curvature of the bar to be impregnated. The follow¬ ing is the method ulually employed for magnetizing bars of this kind. The crooked bar is laid flat upon a table, and to each of its extremities is applied a flraight fig. 17. magnetic bar, as DF, EG, fig. 17. and the remote ex¬ tremities of thefe bars F, G, are joined by the condu&or or piece of foft iron EG. Then to its middle are to be applied two magnetic bars, with their oppofite. poles at a little diftance from each other, H, I, and with thefe the crooked bar is to be ftroked from end to end, fol¬ lowing the direftion of the crooked bar, fo that on one fide of it the magnetic bars may Hand in the direftion reprefented by the dotted lines at K and L. When in this manner the piece of fteel ABC has been rubbed a fufficient number of times on the one fide, it is to be turned, and the fame operation repeated on the other tide, taking care that the adhering magnetic bars, and the condu&or of foft iron, be preferved in the fame lituation as at firft. It muft be obferved that in this procefs the magnets DF, DG, as well as the magnets H, I, muft be placed fo that their fouth poles (hall be towards that ex- ^ tremity of the bar which is to be made a north pole. Duhamel’s A material improvement in the procefs for commu- mprove- nicating magnetifm from artificial magnets to fteel bars, mem. was introduced by Duhamel. He formed a right- angled parallelogram, two of the Tides of which were made by two equal bars of fteel, that were intended to be magnetized, while the other two were formed by joining the extremities of the fteel bars by two pieces of foft iron, alfo equal to each other in length, but much ftiorter than the fteel bars. Then taking two parcels of bars already magnetized, he brought together their op¬ pofite poles towards the middle of one of the fteel bars forming the parallelogram, and inclining the parcels as Fig. 18. in fig. 18. he made them glide gently, feparating them from each other towards the extremities of the bar j and this operation was repeated as often as required, when the inclined parcels of magnetic bars were car¬ ried to the oppofite bars of the parallelogram, and this ■^as-rubbed in a fimilar manner. After the bars were E T I S M. 375 rubbed fufficiently on one fide, they were, as in former ExPefir“en~ , J tal ILluftra- cales, turned on the other. tions This method is one of the heft that we can employ for magnetizing the needles of compafles, and fuch fteel bars as are of a moderate thinnefs, efpecially if we employ magnetic bars ftrongly impregnated for the pur¬ pofe of rubbing the fteel bars. 54 Much about the time that M. Duhamel contrived Improve- the above method, the fame objeft was employing attention of experimental philofophers in England, where the procefs of magnetizing bars was much im¬ proved by Mr Mitchell and Mr Canton. Mr Mitchell employed two parcels of bars already ftrongly magnetized, joined together in a parallel di- redlion, with their oppofite poles united at each extre¬ mity, but in fuch a manner, that there remained be¬ tween the two parcels a fmall interval. He then placed a number of equal fteel bars in a ftreight line, and made one extremity of the magnetized bars Hide over the line formed by the fteel bars at right angles j and this he repeated as ufual. In this way he found that the intermediate bars in the ftraight line acquired a great degree of magnetic power. Mr Canton placed the bar which he wifhed to mag¬ netize, fo as to form part of a parallelogram, as in the method of M. Duhamel, and then employed the fame means as Mr Mitchell for impregnating the bar, after which he feparated the two parcels of magnets, and in¬ clining them to each other in the manner of Duhamel upon the bar, he made them Hide from the needle to¬ wards the extremities. This laft method confiderably augmented, according to Mr Canton, the magnetic- power of the bar but by Coulomb it is confidered as the only effedlual part of the proctfs. Thefe methods of Mitchell and Canton conftitute what has been call¬ ed the double touch, which was ftill farther improved by the celebrated ^Epinus. ^ This philofopher, after having formed a parallelo-Method or gram w ith fteel bars, and pieces of foft iron, in the man- ^Epir.us. ner of Duhame], placed upon the bar to be magne¬ tized, two paicels of magnetic bars inclined in fuch a way that each of them formed «n its own fide an angle of 150 or 20° with the fteel bar on which it was placed j their oppofite poles being at a very fmall diftance from one another. Keeping the parcels of magnetic bars in the fame relative fituatien with refpeft to each other,. he made both parcels Aide along alternately from the middle of the bar towards each extremity, begiiwiing at every renewal of the operation from the middle of the bar. This method has a very great advantage over the former, as by it we may magnetize bars of confiderable length and thicknefs, by means of magnetic bars that have no great magnetic- power. ^ In all thefe. prcceftes it muft be remaiked, that, in Remarks, order to proceed properly, it is neceffary to employ a confiderable degree of prefiure. A parallelogram of fteel bars and foft iron ffiould be. kept firm by wedges, fome- whab in the manner of printers types, and the extremi¬ ties of the magnetic bars ftiould be perfeftly cleaned. Dr Robifon fuppofed, that wetting thefe extremities confiderably aided the procefs ; but he found that the leaft particle of oil between the bars greatly obftrufted it, as did the fmalleft piece of the thinneft gold leaf. He found that bars which were rough acquired a more powerful 57 Improve- rnents of Coulomb. Fig. Fig. 2C. M A G N •powerful magnetifm than, tliofe which were moderately ' polilhed j but that, if moderately rough, they acquired the fir ft degrees of magnetifm more expeditioufly than fmooth bars, but did not receive fo ftrong an impregna¬ tion as the latter. The method of making artificial magnets has been greatly improved by M. Coulomb, who in a feries of memoirs, printed in the Memoirs of the Academy of Sciences, and of the National Inftitute of Paris, has communicated a number of valuable obfervations and experiments, that have contributed, perhaps more than any preceding labours, to the advancement both of the theory and practice of magnetifm. Many years ago he publifhed his procefs for making very powerful arti¬ ficial magnets. In his operations he ufes four very ftrong magnets previoufly impregnated. He placed his two ftrongeft magnets, (as NS, NS, fig. 19.) on a horizontal plane in one right line, at fuch a diftance that they might be a few lines nearer to each other than the length of the needle n s intended to be magnetized. He afterwards took the two magnets N' S', and inclining them as in the method of ALpinus, he placed them firft on the middle of the needle, or with their poles nearly in con- ta61:. He then drew each magnet, without changing its inclination, to the extremity of the needle, and re¬ peated this-operation 5 or 6 times on each face of the needle. It is clear, that in this operation the poles of the needle n s remain fixed and invariable at the extre¬ mities of the needle, by means of the two ftrong mag¬ nets NS on which it refts. The effect produced by thefe can only be augmented by the aftion of the two fuperior magnets, which concur in magnetizing all the particles of the needle in the fame dire&ion. He found likewife, that in this method of magneti¬ zing there is a greater certainty of giving to both fur- faces of needles intended to determine the magnetic meridian, an equal degree of magnetifm ; a circum- ftance deferving of the greateft attention in the con- ftru&ion of compaffes, if the needle be fufpended with its broadeft furface parallel to the horizon. After thefe previous proceffes, he took 30 bars of fteel hardened and tempered to the temper of a fpring, five or fix lines broad, two or three lines thick, and 36 inches long. The blades of fencing foils, fuch as are found in the (hops, make pretty good magnets. Eng- lilh flieet fteel cut into pieces one inch wide, harden-' ed and lowered to fpring temper, is preferable. When each compound magnet is to contain no more than 15 or 20 pounds of fteel, it is fufficient to make the bars 30 or 36 inches long. He magnetized each bar fingly, according to the me¬ thod already defcribed. He then took two reftangular parallelopipedons of very foft iron, well polilhed, fix inches in length, between 20 and 24 lines broad, and 10 or 12 lines thick. With thefe two parallelopipedons, reprefented fig. 20. at N and S, he formed the armour of his magnet, by enveloping one extremity of each parallelopipedon with a ftratum of his magnetic bars, fo that the extremities of the parallelopipedons may project beyond the extremities of the bars 20 or 24 lines, and the other end may be enveloped by the ends of the fet of bars. On this firft layer of fteel bars of three or four lines thick he places a fecond, three inches Ihorter than the firft, fo that the firft proje&s beyond the fecond E T I S M. Chap. I about 18 lines on each fide. The whole is fecured Expermie at the ends by two binding pieces of copper, whichta* Mluftr prefs the bars clofe together, and prevent the armour , tl0n;‘ from efcaping. Fig. 20. reprefents two artificial magnets compofed Fig. j0. according to the method juft defcribed. N and S are the extremities of the two iron parallelopipedons. The two other extremities are inclofed by the bars. Each magnet thus compounded is folidly connected together by the copper pieces marked o, b} a\ b'. The pieces of contact A, R, join the oppofite poles of the mag¬ nets. He found by experience, that with an apparatus of this form, each part weighing 15 or 2olbs. a force of 80 or looib. will be required to feparate the pieces of contaft; and that when an ordinary needle of the com- pafs is placed on the two extremities of the compound bars, fig. 20. they become magnetized to faturation, without its being neceffary to rub them with the upper pair. When magnets of greater force are defired, it is neceflary, in proportion as the number of bars is in- creafed, to augment their length allb, and the dimen- fions of the parallelopipedons of iron which ferve for the armour. It would be eafy to afcertain the differ¬ ent dimenfions which the magnets ought to have, in a manner fufticiently accurate for pradtice, from the laws of magnetifm, and thepofition of the centre of action of the bars of fteel of different lengths and thicknefs. ^ 2. Iron or Jleel is rendered magnetic a l by being placed \xmw in a pojition correfponding to the magnetic meridian, fteel be- It h as been often obferved, that a bar of iron which con.lw m has flood for a long time exaftly or nearly in the mag-nofaio/ netic dire6tion, has acquired a degree of magnetic^ poiver, the extremities poffefling oppofite polarity. In this and other northern parts of Europe, old vanes of turrets, window bars, and even pokers that have flood long inclined in the chimney corner, are often very fen- fibly magnetic, their lower extremity becoming a north, and the upper a fouth pole. In the higheft part of the fteeple of St Giles’s church in Edinburgh, on the north fide, the upper bar of a hand-rail leading to a flair is very magnetical. It is worthy of remark, that thofe parts of fuch old bars which have become foliated and crumbly by expofure to the air are the moft magneti¬ cal. This magnetic ftate of perpendicular iron bars was, as we are informed by Dr Gilbert, firft obfer¬ ved in the vane fpindle of the Auguftine church at Mantua. ^ 3. yf bar of feel long hammered or expofed to violent By ham- fri&ion, while lying in the magnetic meridian, becomes mer‘ng ot| magnetic. ' * ^ This fa£t was well known to Dr Gilbert, who in a plate reprefents a blackfmith hammering a bar of fteel in the magnetic pofition. Many fmiths tools, fuch as long drills, that receive great preffure while in motion,, broaches that are worked with a long le¬ ver, fo as to adl very fall, become very fenfibly mag¬ netical ; the lower end, in thefe latitudes, being always a north pole. When a fteel punch is driven hard into a piece of iron, the punch has fometimes been render¬ ed magnetical by a fingle blow. There is fcarcely a cutting or boring tool in a fmith’s {hop that does not poffefs fome degree of magnetic power. Even foft fteel and iron w'ill acquire it by being violently twifted or expofed to great friction, and the magnetifm thus ac¬ quired hhap. IL M A G N Lperimen-quired is cdmttionly permanent. From this circum- h llluitra-^ErncQ it is difficult to procure for nice experiments t'onSi' pieces of iron that do not poffefs fome degree of magne- tilm, and hence thefe experiments do not always fuc- ceed. It is therefore convenient to know how to de¬ prive iron and fteel of magnetifm, and the method of doing this will appear from what will be faid in the next feftion. The fteel balances of watches are often magnetic, fometimes even (hewing evident polarity ; a circum- ftance which is found to have fome effedft in difturbing the proper going of fuch watches or time-pieces. Hence it is recommended to make the balances of brafs. See a paper on this fubjedt by Mr Varley, in the firft vo¬ lume of the Philofophical Magazine. 4. Magnetifm mag be mduced on fubjlances that are 60 fufceptible of it, by heat. yheat. Hr Gilbert remarks that fuch ores of iron as are in that particular metallic (late, which he confiders as moft fufceptible of magnetifm, will acquire this power by being kept long in a red heat, while in a magnetic diredtion ; and that their polarity correfponds to their pofition, that end of the mafs which is oppofite the north becoming a north pole. By many experiments made both by Dr Gilbert, and lince his time by Dr Hooke, on iron and fteel bars, it appears that thefe ac¬ quire permanent magnetifm by being expofed to a ftrong heat, and fuffered to cool gradually while lying in the magnetic diredtion ; but that the magneti'm thus acquired by fteel rods is much ftronger and more du¬ rable, if they are fuddenly quenched with cold water, fo as to give them a very hard temper. Dr Hooke found that the end of the bar next the north, or the lower end of a vertical bar, always became its perma¬ nent north pole, and the upper end, even when quench¬ ed, while the reft was fuffered to cool gradually, be¬ came a very fenfible fouth pole. If thefe operations were performed on bars placed in a pofition at right angles to the magnetic diredtion, no magnetifm was acquired. Dr Gilbert makes a remarkable obfervation refpedfing the pofition of a magnetic needle brought near an ignited bar of iron, which was fome years ago repeated in the Philofophical Tranfadtions as a new dif- covery. “ Bacillum ferreum, valide ignitum appone ver- forio excito : fiat verforium, nec ad tale ferrum conver- titur : fedflatim ut primum de candore aliquantulum re- mi fer it, confluit i/lico.'n Thus it appears that iron is not fufceptible of magnetifm when red hot, but that it acquires magnetic power during its cooling. Dr Gil¬ bert afeertained the degree of heat moft favourable to the produdtion of magnetifm, but from his want of pro¬ per thermometers he did not fucceed. Dr Robifon found that though a bright red or a white heat does not make iron fufceptible of magnetifm while it is ex¬ pofed to fuch a heat, it predifpofes it for becoming magnetical. He found that when a bar of fteel was made to acquire magnetifm by being tempered in the magnetic diredlion, the acquired magnetifm was much ftronger when the bar was firft made very hot, even though allowed to acquire its moft magnetical ftate be¬ fore being quenched, than if it had been heated only to this latter degree. Nay, he always found it ftronger if quenched while red hot. He alfo found that when he heated a fmall fteel bar ;red hot, and quenched it while lying between two Vol. XII. Part I. E T I S M. 377 magnets, it acquired a much ftronger magnetic power than it would acquire in any other way. ll t;ons> Mr Canton contrived the following method of pro- — ducing magnetifni in fteel bars, without the affiftance either of natural or artificial magnets. 61 Take twelve bars, fix of foft, and fix of hard fteel,^^^. the former three inches long, one-fourth of an i“ch ar- broad, and one-twentieth of an inch thick ; with two tificiaimag. pieces of iron, each half the length of one of the bars j nets, but of the fame breadth and thicknefs. 'Hie fix hard bars ffiould be each five inches and a half long, one- half inch broad, and three twentieths of an inch thick, with two pieces of iron of half the length, but of the fame breadth and thicknefs as one of the hard bars j and let all the bars be marked with a line quite round them at one end j then take an iron poker and tongs, or two bars of iron, the larger they are, and the longer they have been ufed, the better ; and fixing the poker upright, or rather in the magnetical line between the knees, hold to it, near the top, one of the foft bars, having its marked end downwards, by a piece of few- ing filk, which muft be pulled tight by the left hand, that the bar may not Aide ; then grafping the tongs with the right hand, a little below the middle, and holding them nearly in a vertical pofition, let the bar be ftroked by the lower end from the bottom to the top about ten times on each fide, which will give it a magnetic power fufficient to lift a fmall key at the marked end j which end, if the bar were fufpended on a point, would turn towards the north, and is there¬ fore called the north pole, and the unmarked end, for the fame reafon, is called the fouth pole. Four of the foft bars being impregnated after this manner, lay the other two parallel to each other, at a quarter of an inch diftant, between the two pieces of iron belonging to them, a north and a fouth pole againft each piece of iron j then take two of the bars already made magne¬ tical, and place them together fo as to make a double bar in thicknefs, the north pole of the one even with the fouth pole of the other, and the remaining two be¬ ing put to thefe, one on each fide, fo as to have two north and two fouth poles together, feparate the north from the fouth poles at one end by the interpofition of fome hard fubftance (I, fig. 21.), and place them per-Fig. it. pendicularly with that end downward on the middle of one of the parallel bars AC, the two north poles to¬ wards its fouth end, and the two fouth poles towards its north end. Slide them three or four times backward and forward the whole length of the bar ; then remo¬ ving them from the middle of this bar, place them on the middle of the other bar BD as before dire&ed, and go over that in the fame manner ; then turn both bars the other fide upwards, and repeat the former ope¬ ration : this being done, take the two bars from between the pieces of iron, and placing the two outermoft: of the touching bars in their ftead, let the other two be the outermoft of the four to touch thefe with ; and this procefs being repeated till each pair of bars have been touched three or four times over, will give them a con- fiderable magnetic power. When the fmall bars have been thus rendered mag¬ netic, in order to communicate the magnetifm to the large bars, lay two of them on the table, between their iron condudfors as before j then form a compound mag¬ net with the fix fmall bars, placing three of them with 3 B the 373 f-^uhuZ' L!ie r0lt,h i:)oles downwardsJ and the three others with tions. ^16 ^outh poles downwards. Place the two parcels at «——y an angle, as was done with four of them, the north ex- tremity of the one parcel being put contiguous to the lOUth extremity of the other, and with this compound magnet ftroke four of the large bars, one after another, about twenty times on each fide, by which means they will acquire fome magnetic power. When the four large bars have been fo far rendered magnetic, the fmall bars are laid afide, and the large ones are ftrengthened by themfelves, in the manner followed with the fmall bars. 1 o expedite the operation, the bars ought to be fix¬ ed in a groove, or between brafs pins, otherwife the attraction and fridtion between the bars will be conti¬ nually deranging them when placed between the con¬ ductors. M A ONE T I S M. Fig. 22. 6 2 Marcel’s jnetbod. This whole procefs may be gone through in about half an hour, and each of the large bars, if well har¬ dened, will lift about 28 ounces troy, and they are fit¬ ted for all the purpofes of magnetifm in navigation and experimental philofophy. The half dozen being put into a cafe in fucn a manner, as that no two poles of the fame name may be together, and their irons with them as one bar, they will retain the virtue they have leceived 5 but if their power firould, by making experi¬ ments, be ever fo much impaired, it may be reftored without any foreign afiillance in a few minutes. -thefe bars mult be kept in a w'ooden box, arranged in fuch a manner that their oppofite poles may lie to¬ gether, as reprefented at fig. 22. There are various methods of communicating a per¬ manent magnetifm to ferruginous bodies, by means of a bar rendered magnetic, by pofitfon, of which the moft fimple is that defcribed by Mr Marcel, whofe experi¬ ments were made in the year 1726. Being employed in making^ fome obfervations on the magnetic power which he found in great pieces of iron, he took a large vice weighing 90 pounds, in which he fixed a large anvil weighing 12lbs. The fteel to which he wiflred to give the magnetic power was laid upon the anvil in a north and fouth pofition, which happened to be the diagonal of the fquare furface of the latter. He then took a four-cornered piece of iron an inch thick every way5 33 inches long, weighing about 8lbs. having one end rounded and brightly polifhed, the other being tapered. Holding then the fieel faft upon the anvil with the one hand, he took the iron bar in the other and holding it perpendicularly, he rubbed the fteel hard with the rounded part towards him from north to fouth, always carrying the bar far enough round about to begin at the north. Having thus given 10 or 12 ftrokes, the fteel tvas turned upfide down, and rubbed as much on the other fide. Proceeding in this manner till it had been rubbed 400 times, the fteel w-as as ftrongly magnetic as if it had been touched by a power¬ ful loadilone. The place where he began to rub was always the north pole. In thefe experiments it fome- times happened that the virtue was imparted by a few ftrokes; nay, by a firigle ftroke a fmall needle was made to receive a very confiderable power. Thus he imparted to twro compafs needles fuch a degree of mag¬ netic power, that one lifte’d three-fourths, and another a whole ounce of iron, and although thefe needles were anointed with lintfeed oil to keep them from rufting, 3 Chap. Ih and a hard coat was thus formed upon them, they Experimen neverthelefs retained their power. Thus alfo a knife ^ UluftE was made fo ftrongly magnetical, that it would take up tioi,s- an ounce and three-iourths of iron. Tour fmall pieces ^ ,l,a of fteel, each an inch long, and one-twelfth of an inch broad, as thin as the fpring of a w atch, were thus im¬ pregnated with the magnetic power, and then joined into a fmall artificial magnet; which at its firft forma¬ tion took up eight times its own weight of iron 5 and after being nx years kept in the moft carelefs manner, was found to have gained rather than loft any thing of its power. In the courfe of his experiments, Mr Mar¬ cel found, that the end at which he began to rub was always the north pole, whatever pofition the fteel was laid in. On rubbing a piece of fteel from one end to the middle, and then from the other end to the middle, it acquired two north poles, one at each end, the middle being a fouth pole. Beginning to rub from the middle towards each end, he found a north pole in the middle, and a fouth pole at each extremity. ^ Magnetifm may be communicated to a fmall pieceMethodcf ; of foft fteel in the following manner : take two iron maSneti; bars of about an inch fquare, and upwards of three feet zjn,gfa in length ; keep them in the magnetical line, or in aoUottltee- perpendicular pofture, as reprefented fig. 23. Let the Fig. 23. piece of fteel CB be either faftened to the edge of a table, or held by an aftiftant j and placing the lower extremity of the bar AB, and the upper extremity of the bar CD, on oppofite fides, and in the middle of the fteel, ftroke the latter from the middle towards its extremities, moving both bars at the fame time. When both are arrived at the extremities of the fteel, remove them from it, and apply them again to the middle. Do fo for 40 or 50 times, and the fteel will be found to have a confiderable degree of magnetic power. Care, however, mull be taken, in removing the bars, not to draw them along the furface of the fteel, or the experiment will not fucceed, becaufe the magnetifm is deftroyed by the contrary ftrokes. The late Dr Gowin Knight poffefled a furprifing Dr Knight’s.! fkill in magnetifm, being able to communicate an ex-artificial traordinary degree of attradlive or repulfive powrer, and ^oa^^ones* f to alter or reverfe the poles at pleafure j but as he re- fufed to difcover his methods upon any terms what¬ ever (even as he faid, though he Ihould receive in re¬ turn as many guineas as he could carry), thefe curious and valuable fecrets have died with him. In the 69th volume of the Philofophical Tranfadtions, however, Mr Benjamin Wilfon has given a prccefs, which at leaft difcovers one of the leading principles of Dr Knight’s art, and may perhaps be a means of difcovering the whole to thofe who ftiall be lefs referved. The doc¬ tor’s procefs, according to Mr Willon, wras as follows. Having provided himielf with a great quantity of clean iron filings, he put them into a large tub, that was more than one-third filled with clean water ; he then, with great labour, w'orked the tub to and fro for many hours together, that the friftion between the grains of iron by this treatment might break off fueh fmaller parts as would remain fulpended in the water for a time. I he obtaining of thefe very final] particles in fufficient quantity feemed to him to be one of the prin¬ cipal defiderata in the experiment. The water being by this treatment rendered very muddy, he poured the fame into a clean iron veffel, leaving the filings be¬ hind j. r ^ hip. II. M A G N Aperimen-hind j and when the water had flood long enough to al Illuftra- clear, he poured it out carefully, without diflurbing t'ons’ ^ fuch of the fediment as flill remained j which now ap- ” v peared reduced almoft to an impalpable powder. This powder was afterwards removed into another veffel in order to dry it; but as he had not obtained a proper quantity thereof by this one ftep, he was obliged to re¬ peat the procefs many times. Having at lafl procured enough of this very fine powder, the next thing was to make a pafte of it, and that with fome vehicle which would contain a confiderable quantity of the inflammable matter •, for this purpofe he had recourfe to lintfeed oil in preference to all other fluids. With thefe two in¬ gredients only he made a fliff pafte, and took particular care to knead it well before he moulded it into conve¬ nient ftiapes. Sometimes, while the pafte continued in its foft ftate, he would put the impreflion of a leal upon the feveral pieces j one of which is in the Britilh Mu- feum. This pafte was then put upon wood, and fome- times on tiles, in order to bake or dry it before a mo¬ derate fire, at about the diftance of a foot. He found that a moderate fire was moft proper, becaufe a greater degree of heat made the compofition frequently crack in many places. The time required for the baking or drying of this pafte was generally about five or fix hours before it attained a fufticient degree of hardnefs. When that was done, and the feveral baked pieces were become cold, he gave them their magnetic power in any direction he pleafed, by placing them between the extreme ends of his large magazine of artificial magnets for a few feconds or more as he faw occafion. By this method the power they acquired was fuch, that when any of thefe pieces were held between two of his bell ten guinea bars, with its poles purpofely inverted, it immediately of itfelf turned about to recover its na¬ tural diredtion, which the force of thofe very powerful bars was not fufficient to counteradl. In the 66th volume of the Philofophical Tranfadlions we have the following account from Dr Fothergill, of Dr Knight’s method of imitating natural magnets, but which is by Mr Cavallo fuppofed to be fome mi-flake or mifinformation. “ I do not know,” fays he, “ that ever the dodlor (Dr Knight) left behind him any de- feription of a compofition he had made to form artifi¬ cial loadftones. I have feen in his pofieffion, and many other of his friends have likewife feen, fuch a compofi¬ tion, which retained the magnetic virtue in a manner much more fixed than either any real loadftone, or any magnetic bar, however well tempered. In the natural ones he could change the poles in an inftant, fo like¬ wife in the hardeit bars, but in the compofition the poles were immoveable. He had feveral fmall pieces of this compolition which had ftrong magnetic powTers. The largeft was about half an inch in breadth, very little longer than broad, and near one-fourth of an inch thick. It was not armed, but the ends were powerfully magnetic ; nor could the poles be altered, though it was placed between two of his largeft bars, and they were very ftrongly impregnated. The mafs was not very heavy, and had much the appearance of a piece of black lead, though not quite fo fhining. I believe he never divulged the compofition, but I think he once told me, the bafis of it was filings of iron re¬ duced by long-continued attrition to a perfeftly hnpal- E T I S M. 379 pable ftate, and then incorporated with fonie pliantE£per>men- matter to give it due confiftence. ta^ From thefe accounts it appears that the bafis of Dr , ‘ J' ' f Knight’s artificial loadftones was the black powder to which iron filings are reduced by being fhaken with water, or the black oxide of iron, formerly called mar¬ tial aethiops. Hence Mr Cavallo fuppofes that the fol¬ lowing receipt for imitating the natural magnets will anfwer the purpofe. Take fome martial aethiops, reduced into a very fine powder, or, which is more eafily procured, black oxide of iron, the feales which fall from red-hot iron when hammered, and are found abundantly in fmiths ihops. Mix this powder with drying lintfeed oil, fo as to form it into a very iliff pafte, and ftiape it in a mould fo as to give it any form you require, whether of a terrella, a human head, or any other. This done, put it into a warm place for fome weeks, and it will dry fo as to be¬ come very hard 5 then render it magnetic by the ap¬ plication of powerful magnets, and it will acquire a con- liderable power. Sect. IV. Of the Circumfanccs which tend to impair or , defray the Magnetic Power. The magnetic power in all its modifications, whether Magnetifm of attraction, repulfion, or polarity, is in general tern- ^ or ^e* porary and periihing. The beft magnets, whether na-0;ro^e<*‘ tural or artificial, unlefs carefully preferved, with at¬ tention to certain circumftances that will prefently ap¬ pear, are obferved to have their magnetic power dimi- niftted. Natural magnets, and artificial magnets made of fteel tempered as hard as poflible, retain'their power moft obftinately, and feldom entirely lofe it except un¬ der circumftances which we know to be unfavourable to its durability. Magnets of fteel of a fpring temper, are much fooner weakened, lofe more of their force merely by keeping, and finally retain little or none of it. Soft fteel and iron feldom retain magnetic power when removed from the magnet where they acquired it, unlefs their metallic ftate undergoes fome change. The following circumftances have been obferved to be moft powerful in diminiftiing or deftroying the power of magnets. ^ 1. Improper poftion. Nothing has fo much effeft in By impro- impairing the power of a magnet as keeping it in an per pod- improper pofition, that is, too far from the magnetic^011’ line. If the axis of the magnet be placed in a direc¬ tion that is at right angles with the magnetic meridian, that is, in this latitude nearly E. N. E. and W. N. W. it will fooneft lofe its magnetic power 5 and if it be placed in the magnetic line, but in a contrary polition, or with the north pole where the foulh pole fhould be, if permitted to vibrate freely, it will gradually become weaker every day, and unlefs it be a natural magnet, or an artificial one made of very hard tempered fteel, it will, in no very long time, entirely lofe its magnetic Power- ... 67 2. Heat. The diflipation of magnetic power is great-by heat; ly promoted by heating the magnet. The heat of boiling water has a fenfible effedl in this way *, but if the magnet be expofed to a red heat, its power is en¬ tirely deftroyed, as has been long known. Dr Gilbert obferved that the power of magnets was deftroyed by a 3 B 2 heat 'Ey violent M A G N heat that was not fufficient to make the metal vifible in the dark*, and Mr Canton found that the heat of boil¬ ing water weakened the power of a magnet, but that the greateft part of this was recovered as the magnet cooled. If the heat be applied when the magnet lies in a pofition moft favourable to the diflxpation of mag- netifm, the power is fooneft deftroyed; hence, the bed; way to deprive iron or fteel of accidental magnetifm is, to heat it red hot, and allow it to cool while lying in a direction perpendicular to the magnetic line. M. Coulomb has afcertained that at 200 degrees of heat, two-fifths of the magnetifm of a magnet is diilr- pated, and that at 500 degrees the whole is loft. By violent treatment. It is very extraordinary tieatment; tpe p0Wer 0f a magnet is impaired by rough ufage. Dr Gilbert oblerved that a magnet which he had powerfully impregnated was greatly weakened by a fingle fall on the floor; and fince his time it has been obferved that when a magnet falls on a ftone, or re¬ ceives any concufiion that makes it ring, it is injured much more than by being beaten with any thing foft and yielding. When a natural magnet is ground with coarfe powders, in order to bring it to any required form, it is confiderably weakened. This fhows the propriety of altering the natural form of loadftones as little as poffible, and when this is necefiary, of doing it as expeditinufly as may be, by cutting them brifkly in the thin difks of a lapidary’s wheel, by fimilar 4* Placing them near each other with their fimilar poles beingj&o/fr oppojite. Magnets fituated in this way always oppofite. weaken each other, and when a powerful magnet is placed near a weaker, with their fimilar poles oppofed, the polarity of the weaker is frequently reverfed, that is, if the pole wrere north it becomes fouth, and vice verfa. When the weaker magnet is a natural loadftone, or has been made of hard tempered fteel, its original polarity is reftored when the improper pofition is changed *, but if it has been made of fpring-tempered fteel, the alteration is generally permanent, and often as complete as while the magnets were in the neigh¬ bourhood of each other. Chap. III. Theory of Magnetifn. " 7° Opinions of Respecting the notions w’hich the ancient philo- the anci- fophers entertained about the caufe of magnetic pheno- mena, we know very little. One curious opinion which they entertained of the reafon why a magnet was im¬ proved by the contact of iron, is vrorth noticing. They conceived that the magnet jffv/ upon the iron, and hence acquired additional attra61ive power; and when de¬ prived of this pabulum, it grew w'eak and languid. “ Nam ferro nurunt vitam, ferrique vigore Vefcitur *, hoc dulces epulas, hoc pabula novit $ Hinc proprias renovat vires, hinc firfa per artus Afpera fecretum fervant alimenta vigorem. Hoc abfente peril, trifti morientia torpent Membra fame, venafque fitis confumit apertas.” Claudian. In the 16th century, the philofephers of modern times firft began to fpeculate about the caufe of magne¬ tic polarity, a phenomenon which then became intereft- ing on account of the difference of declination obferved E r I S M. Chap. IH> by navigators. Various trifling opinions were publifhed theory, on the fubjeft. Some faid that the needle was dire&ed ~v—J by a certain point in the heavens, which was little more than faying that it pointed one way. Others aferibed the diredion of the needle to vaft magnetic rocks fitua¬ ted in the earth ; but as to the exad fituation of thefe rocks, they did not give themfelves the trouble to in¬ quire, till Fracafteri obferved, that, if thofe rocks are fuppofed to be fituated in any part of the globe yet vi- fited by navigators, and if, as we muft fuppofe, they ad like loadftones, they will caufe the diredion to be very different from what is obferved. He therefore placed them fomewhere in the inacceflible polar regions, though not immediately at the poles. Norman, who, as we have feen (DIPPINGNeedle}, difeovered the dip of the magnetic needle, and obferved that in every part of Europe, the north pole pointed very far below the horizon, was naturally led to aferibe this effed to the influence of the earth, though he does not exprefs him- felf as if he thought that the needle was attraded by any point within the earth, but only that it was always direded to fuch a point. ^ From comparing the different pofitions of the com-Gilbert's pafs needle, as deferibed by Norman, with the pofitionst^eorlr‘> which he had himfelf obferved fmall needles to affume in relation to a magnet, Dr Gilbert was naturally led to confider the earth as a great loadftone, or elfe con¬ taining a great loadftone within it, w'hich arranged the dipping needle, or the needle of the compafs, in the fame manner as he obferved a fmall needle poifed on its ' pivot, to be arranged by a large magnet. Dr Gilbert has explained his theory at large in his Physiologia Nova de Magnete, et de Tellure Magno Magnete. It may be briefly expreffed in the following terms. All the ap¬ pearances of natural magnetifm are fimilar to what would be obferved in the earth, were a large magnet with its poles fituated near the poles of the equator, viz. the north pole not far from Baffin’s bay in North Ame¬ rica, and the fouth pole in about the oppofite part of the glebe. If a dipping needle were expofed to the influence of fuch a large magnet, it muft arrange itfelf in a plane palling through the magnetic poles, a pofi¬ tion indicated very nearly by the mariners needle j and the more we recede from the equator of the great mag¬ net, the more muft the dipping needle be inclined to the horizon. Dr Gilbert’s theory was equally ingenious and im- 73 portant, and affords, if firmly eftablilhed, a complete explanation of all the phenomena of magnetifm. At the time it was firft publiffied, however, obfervations were neither fufficiently numerous, nor fufficiently ac¬ curate, to enable the author to affign the real pofition of the great magnet, nor to afeertain its laws of aftion. The theory was chiefly founded on obfervations made by the dipping needle, and though thofe inftruments made by Norman were more accurate than might have been expefled at fo early a period of the fcience, the ob¬ fervations made with them cannot, from many circum* fiances, be implicitly relied on. We are ftill in want of a numerous collection of obfervations on the dip, in order to perfeCt our knowledge of the magnetic poles. We can only fay that the earth aCts on the compafs needle in the fame manner as a large magnet would aCt; but the appearances do not feem to refemble the effeCts of what we ffiould confider as a good loadftone having two vi¬ gorous hap. HI. Theory. 73 M A G N E gorous poles, but rather fuch as would refult from the action of a very irregular loadftone with its poles very much diffuted. It is unfortunate that our moft numerous obfervations of the dip have not been made in thofe places where they would be the moft inftruftive. Dr Robifon was of opinion that a feries of obfervations ftiould be obtained, extending from New Zealand northward, acrofs the Pacific ocean to Cape Fairweather on the weftern coaft of North America, whence it fhould be continued through that part of the continent. A fecond feries might extend from the Cape of Good Hope along the weftern coaft of Africa to the tropic of Capricorn j thence acrofs the interior of the African continent through Sicily, Italy, Dalmatia, the eaftern part of Germany, the gulf of Bothnia, Lapland, and the v’eft- ern part of Greenland. This feries would be nearly in a plane palling through the probable fituations of the poles. A third feries might extend at right angles to . the laft, fo as to form a fmall circle crofting the former, palling near Japan, through the illand of Borneo, and the weftern part of New Holland } near Mexico, and a fewr degrees weft of Falter ifland. Here and at Bor¬ neo there w'ould be a conliderable inclination of the magnetic plane to the horizon, though this cannot be found out. There are, however, other points of this circle in which the dip is conliderable, where the incli¬ nation may be difeovered. In Ihort, all circumftances feem to indicate a multiplicity of poles, or, what renders calculation moft difficult, an irregular magnetifm in which the polarity is very much diffufed. Philofophers are very much divided refpe£ling the fituation of the magnetic poles of the earth. We lhall here ftate only a fewr of their opinions, referving a fuller account of fome of them for the article VARIATION of the Compafs. Dr Halley thought that the north magnetic pole was near Baffin’s bay in North America. Profeflbr Krafft(fee Peterlhurgh Comment, vol.xvii.) poles’, places the north pole in N. Lat. 70° and W. Long. 23° from London j and the fouth pole in S. Lat. 50°, and E. Long. 920. Wilcke of Stockholm places the north pole in N. Lat. 750 near Baffin’s bay, and in the longitude of California, while he fixes the fouth pole in S. Lat 70° in the Pacific ocean. Churchman fuppofes the north pole to be in N. Lat. 390, and W. Long. 1350, a little inland from Cape Fairweather ; and the feuth in S. Lat. 590, and E. Long. 165°, direftly fouth of New Zealand. (See Variation). Euler (Memoirs of the Acad, of Berlin, vol. xvi.) places the north pole in N. Lat. 750. Lemounier (L ois du Magnetifme') in N. Lat. 730. Buffon in N. Lat. 710. La Lande places it in N. Lat. 770 4', and in about W. Long. 98° from Paris. (See ConnoiJJance des Terns, an. xii.). However ingenious this hypothefis of Dr Gilbert was, it appears to have been nothing more than a faga- cious conjefture. The hypothefis, however, is con¬ firmed into a rational theory by many obfervations and e truth exPer’'raents which were unknown or unthought of in thetheo-^r Gilbert’s time. Mr Hindlhaw’s beautiful experiment on the effeiR of . ’4 unions to the nation of e magne 75 roofs of T I S M. 381 an upright iron bar on the oppofite ends of a compafs- Theory, needle, according as one end or the other of the bar is v""' next the earth (lee VARIATION of the Compafs') is an abundant proof of the juftnefs of this theory. We can imitate that experiment in a very fatisfaftory manner by artificial magnetifm ; thus forming a juft comparifon between the aftion of the earth and that of a magnet. Let a large bar magnet, as SAN (fig. 24.) be fup-Fig. 24. ported fo as to have its ends detached from furrounding bodies. Then place a fmall needle nicely poifed, as B, about three inches below N, the north pole of the mag¬ net, and fo that its directive power for the magnet may be very weak. Now take a fmall piece of foft iron, and hold it in fuch a pofition as is reprefented at C j its lower end becoming a north pole, will attract the fouth pole of the needle. Now, while the needle is kept in the fame pofition, turn round the piece of iron into the pofition D ; the fouth pole of the needle will be feen to avoid it, and the north pole will be attrafted. Here the magnet may be compared to the earth, and the fmall piece of iron to the iron bar in Mr Hindffiaw’s experiment. Again, it has been feen that magnetifm may be pro¬ duced in iron or fteel by hammering or heating them while in a determinate pofition with refpeft to the earth. The fame effect will be produced by the fame proceffes while the iron or fteel is in the neighbourhood of a powerful magnet. Laftly, the circumftance of the magnetic inclination of the north pole of the dipping needle being diminifti- ed, and the horizontality of the compafs needle de- ftroyed, as we afeend above the earth, is an additional and certain evidence of the truth of this theory. In ffiort, w'e may confider it as demonftrated, that the earth is a great magnet, or contains a great mag¬ net, by the influence of which the direftion of the needle and all the magnetic power acquired by iron, when placed in a proper pofition, are produced. A further illuftration and application of this theory will be given prefently, when we have confidered fome other hypotheles pofterior to that of Dr Gilbert. ^ It was very early an objedt with philofophers to af-Theories of fign the immediate caufe of magnetic attradlion and re-impulfion. pulfion, and of that faculty of mutual impregnation which fo remarkably diftinguifties iron from all other fubftances. In particular, the curious arrangement of iron filings ftrewed round a magnet forcibly attradfed their attention. It is fcarcely poffible to obferve this arrangement without conceiving the idea of a ftream of matter ilTuing from one of the poles of the magnet, moving round it, entering by the other pole, and again ifluing by its former outlet. Accordingly, fuch an idea was entertained in the earlieft times 5 but very dif¬ ferent notions prevailed as to the manner in which fuch a ftream produced the cffedls obferved. One of the fimpleft methods was, to conceive it adling by impul¬ fion, like any other ftream of fluid matter. This idea was entertained by Lucretius, who fuppofed the fur¬ rounding air to be fwept out of the way by the impul¬ fion of the fluid, which thus rulhing round the magnet carried the iron filings towards it. In the laft century Euler framed an hypothefis of Euler’s hy~ magnetifm on this theory of impulfion. He fuppofes, that the two principal caufes which concur in producing the < .182 M A G N E T I S M. , Theory, the wonderful properties of a magnet, are, Firft, A Fig. 25. * Lett res a ■une Prin- -cejje cV'Al- temagne. 7S particular ftrmfture of the internal pores of the magnets, and of magnetical bodies ; and, Secondly, An external agent or fluid, which a£ls upon, and pafles through thefe pores. this fluid he fuppofes to be the folar at- mofphere, or that fubtile matter called ether, which fills our fyftem. Indeed, moft writers on this fubjeft agreed in fuppo- fing that there are corpufcles of a peculiar form and energy, which continually circulate around and through a magnet 5 and that a vortex of the fame kind circulates around and through the earth. “ A magnet, befides the pores which it has in com¬ mon with other bodies, has alfo other pores confider- ably fmaller, deftined only for the paflage of the mag¬ netic fluid. Thefe pores are fo difpofed as to commu¬ nicate one with the other, forming tubes or channels, by which the magnetic fluid pafles from one end to the other. The pores are fo formed, that this fluid can only pafs through them in one dire&ion, but cannot re¬ turn back the fame way ; fimilar to the veins and lym¬ phatic veflels of the animal body, which are furnithed with valves for this purpofe : So that the pores of the magnet may be conceived to be formed into feveral narrow contiguous tubes, parallel to each other, as at A, B, fig. 25. through which the finer part of the ether pafles freely from A to B, but cannot return back on account of the refiftance it meets with at a, a, b, b, nor overcome the refiftance of the grofler ether, which occafions and continues the motion. For fuppofing the pole A of a magnet, filled with feveral mouths or open ends of fimilar tubes, the magnetic fluid, prefled by the grofler part of the ether, will pafs towards B with an inconceiveable rapidity, which is proportionable to the elaflicity of the ether itfelf j this matter which, till it arrives at B, is feparated from the tubes by the grofler parts, then meets with it again, and has its velocity re¬ tarded, and its direftion changed j the ftream, reflect¬ ed by the ether, with which it cannot immediately mix, is bent on both fides towards C and D, and deferibes, but with lefs velocity, the curves DE and CF e, and approaching by the curves d and c, falls in with the effluent matter mvi, and again enters the magnet; and thus forms that remarkable atmofphere, which is vifible in the arrangement of fteel filings on a piece of paper that is placed over a magnet*.” We have already had occafion (fee the article Im¬ pulsion) to make fome obfervations on the general do&rine of impulfion, and thefe need not be here re¬ peated. Refpe&ing the explanations afforded by the canals and dock-gates in Euler’s hypothefis, opening in one direftion and {hutting in the other, we may ob- ferve, that as thefe conftruftions are altered in a mo¬ ment in a bar of foft iron, merely by changing the po- fition of the magnet, it is aftoniftiing that they ftiould ever have been conceived by fo acute a philofopher. Even fuppofing fuch circumftances to take place, the effefts refulting from them ftiould be thereverfe of what are actually obferved, as the impelling ftream fhould move thofe bodies leaft which afford the readieft chan¬ nels for its paflage. If the iron filings were arranged by this impelling ftream, they (hould be carried along with it, and if they are carried towards one pole of the magnet, they ftiould be driven away from the other. _ . Chap /Epinus, of the academy of Peterlhurgh, whofe theory ' of eleftricity we have explained and iiluftrated at confi- ■ derable length, was led by the analogy obferved be¬ tween the phenomena of eledfricity and thofe of magne- 5* tifm, and in particular from the refemblance between l' the attractions and repulfions of the tourmalin and thofe of a magnet, to conceive the idea that both claffes of phenomena might be explained in a fimilar manner or that the phenomena of magnetifm, like thofe of elec¬ tricity, were to be attributed to the motions of a cer¬ tain fluid exifting in all bodies lulceptible of magne¬ tifm. This conjeCture rvas confirmed by obferving, that when magnetifm was induced on a piece of iron by its proximity, to a magnet, the power oi the magnet is not lenfibly diminiftied. The following is an abflraCi of Mr ALpinus’s hypothefis. 1. There exifts in all magnetic bodies a fubftancc which may be called the magnetic fluid, the particles of which repel each other with a force that decreafesas the diftance increafes. 2. I here is a mutual attraction, varying according to the fame law, between the particles of the magnetic fluid, and the particles of iron. 3. There is.a mutual repulfion among the particles of iron, following the fame law. 4. Ihe magnetic fluid is capable of moving through the pores of iron, and foft fteel, without any confider- able difficulty : but its motion is more and more ob- ftruCted as the ftetd receives a harder degree of temper; and in fteel of the hardeft temper, and the ores of iron, it moves with the greateft difficulty. 5* Erom the luppofed attraClion between the magne¬ tic fluid and iron, the latter may contain a certain de¬ terminate quantity of the former, and this quantity will be fuch that the accumulating attraClion of a particle of it for the whole of the iron, balances the repulfion between the particles of the whole fluid contained in the iron.; fuppofing the quantity of fluid competent to a particle of iron to be luch, that the repulfion between it and the fluid competent to another particle of iron, is alfo equal to its attraClion for that particle of iron! 1 herefore the attraClion between the fluid in one iron bar A, and the iron of another bar B, is juft equal to the.repulfion. between the iren in A and the iron in B. This determinate quantity of fluid in the iron is called its natural quantitij. 6. From the mobility of the fluid through the pores of iron, it may, by the agency of a proper external force, be abftraCled from one end of an iron bar, and condenfed in the other end. ’I his, however, is a vio¬ lent ftate, and the mutual repulfion between the parti¬ cles of condenfed fluid, together with the attraClion be¬ tween the fluid and that part of the iron which it has quitted, tend to produce a more uniform diftributiojj. It is evident that fomething of this tendency muft take place in every ftate of condenfation and rarefaction, and that a perfed equilibrium can be produced only when the fluid is diffufed with perfeft uniformity. This ftate of uniformity may be called the natural ftate of the body. 7. The produClion of fuch a uniform diftribution will depend on the nature of the refiftance to the motion of the fluid, oppofed by the iron in its various ftates. If this refiftance arifes merely from the communication of motion, like that which perfeCt fluids eppofe to the mo- C ap. III. ~ M A G N 11 1 p'jry. tion of folid bodies, iucii refinance may be overcome u by the weakeft tendency to uniform diffufion \ but if, as feems moft likely, the obflruftion is like that of a clammy fluid, or of a foft plaftic body like clay, after the accumulation arifing from the aftion of an external force, it may remain after that force is removed *, and the diffafion will ceafe when there is a perfect equilibrium between the obftruftion and the diftufing force. As the illuftration of this theory in general cafes is precifely fimilar, mutatis mutandis, with that of eleftri- city, fo fully detailed under the article Electricity, from N° 299. to 348. we need not repeat it here, but may refer the reader to that treatife, requefting him to eonflder the illuftration as relating to the magnetic fluid. It is proper, however, to remark here, that the phe¬ nomena of magnetifm are limited by this circum- ftance 5 that magnets always contain their natural quantity of fluid. Of courfe, their action on iron, and on each other, depends entirely on its unequal diftri- bution. The moft important part of this theory is that which explains the indudlion of magnetifm on iron and fteel by juxtapofltion to a magnet; but before we can properly enter on that, we muft notice fome other particulars refpefting the theoretical part of our fub- • So jeft. L of A very material point in magnetifm, as in ele&ricity, m ictic Js £0 afcertain the law of action, according to which this 1- power afts on the particles of iron and other matter $ and accordingly this has long been an objedl of atten¬ tion with philofophers. The difficulty of afcertaining this law is extremely great, as will readily appear by the following conftderation. In the aftion of two magnets on each other, as A and B, there are four different actions to be confidered that act at the fame time, though with different de¬ grees of force, and in different direftions. Thus the north pole of A repels the north pole of B, and at¬ tracts its fouth pole, while the fouth pole of A exerts a repulfion on the fouth pole of B, and an attraction on its north pole. Now the force, which we attempt to meafure, is compounded of thefe four forces j and thefe we cannot meafure feparately. The attraction obferved is the excefs of twro attractions that are unequal above two unequal repulfions, and v. v. with refpeCt to the obferved repulfion. Further, if we refleCt that it is pof- fible for a mutual aCtion to exift between every two par¬ ticles of the different magnets, and that the intenfity of this aCtion may vary, not only at different diftances, but at the fame diftance, the difficulty will be greatly , st increafed. ri- Numerous experiments have been made with a view :J! sh^ °f afcertaining this law. Mr Cavallo has detailed many ‘ of thofe made by Mufchenbroeck but their refults are fo anomalous, that their inaccuracy is apparent. In¬ deed, the attempt to afcertain this law by obferving 8i merely the attractions and repulfions, was very unphilo- [ of awkf- fophical. The method employed by Mr Hawkfbee and B k TaDr^r -^ro°k Taylor, viz. obferving how far the aftion of 'It ^ a magnet made a compafs needle deviate from the meri¬ dian at different diftances, was much more fcientific, as this deviation is occafioned by the difference of the two fums of the fame forces ; and this may be made many times greater than the other, and muft of courfe be E T I S M. 3 8 3 much more fenfible. The thape of the magnets em- Theory, ployed by them was, however, very improper. Some ' ^ experiments made by Mr Lambert of the academy °f0f Lain Berlin, were very judicious. He placed a magneticbert. needle at various diftances from a magnet, but in the direction of its axis, and marked the declination from the magnetic line produced by the aCtion of the mag¬ net, and the obliquity of the magnet to the axis of the needle. Thus the aCtion of the magnet and the natu¬ ral polarity of the needle were placed in oppofition and equilibrium ; but the great difficulty was to difcover the proportional change of thefe forces by their obli¬ quity of aCtion on this fmall lever. Mr Lambert obferved, that when the obliquity of the magnet to the axis of the needle was =30°, the needle was made to decline 150 j and when the obli¬ quity was =750, the needle declined 30°. Let us call the obliquity 0 and the declination d, and let us put Z' for that funCtion of the angle which is proportional to the aCtion. Alfo let us call the natural polarity of the needle p, and the force of the magnet m. Then it is evident that p x/: 15 = w* X/: 30; and p : m— f 30 \f, 155 and for the fame reafon p : ni—f, 75 : f, 30, and therefore/, 15 :/, 30=/ 30 :/, 75. But fine 15 : 30z=fine 30 : r 75 ; hence Mr Lambert con¬ cluded, that the fne was that funCtion of the angle which was proportional to the aCtion of magnetifm on a lever. As this point, however, could not be deter¬ mined by one experiment, he compared feveral other obliquities and declinations with the fame diftances, and with different diftances of the magnet, and fully proved that he was right in his conjeCture. The refultof Mr Lambert’s experiments fully proves the fallacy of the theories of impulfion, which pretend to explain magnetic aCtion by the impelling power of a ftream of fluid, or by preffure produced by the motion of fuch a ftream 5 as in fuch a cafe the preffure on the needle muft have diminifhed in the duplicate ratio of the fine ; or with the angle 90° the directive power muft have been four times as much as with the angle of 30°, whereas it is (hewn by obfervation to be only twice as much. When Mr Lambert had afcertained the effeCt of ob¬ liquity, he proceeded to examine that of diftance ; and he found, that if we put/for the force of the magnet, and ^ for the diftance of the neareft pole of the magnet from the centre of the needle, and a for a conftant quantity nearly equal to two-thirds of the length of the needle,/will be proportional to —«*). Dr Robifon endeavoured to inveftigate this law in a Dr Robi- very fimple maimer. He caufed to be made fome mag-fen’s nvdt:- nets confifting of two balls connected by a {lender rod. SatIons. By a particular mode of impregnation (which we fup- pofe to be quenching them, after being red hot, be¬ tween two magnets) he gave them a pretty good mag¬ netifm ; and the force of each pole appeared to be near¬ ly confined to the centre of the ball, which was his ob¬ ject in making them of fuch a fliape, as it reduced the examination of their attractive and directive power to a very eafy computation. The refult of his experiments was, that the force of each pole varied inverfely as the fquares of the diftances, or at leaft the error arifing from fuch an hypothefis was very fmall, amounting on¬ ly to one-fifteenth of the whole. Dr Robifon made a near approximation to the law of 3*4 ’ ; MAG N liienry. r f action, by fuppofing that the fun&ion of the diftance v expreffing that law, reprefented by the ordinates of a curve fmblar to the hyperbola, referred to its aflymp- tote as an axis, towards which its curve was of courfe always convex. On this fuppofition he explained the attractions and repulfions of magnets nearly in the fol- S - lowing manner : Picture of Let there be two magnets, A and B (fig. 26.) pla- the mague- ced fo that their four poles, S, N, n, may be in a Fi°- 0j6eS' ^ne* Now, on the flraight line O q take O w, 0 0/>, O n, O q=Ns, Nn, S s, S n ; and let MPNQ be a curve line, whofe afymptotic axis is the faid line O q. D raw the ordinates m M, /> P, N <7 to the curve, and thefe will reprefent the intenfities of the forces ex¬ erted between the poles of the magnets, lire distance between w, /?, or between p and q~ the length of the magnet A, and tnp ov n q— that of B, and M m, P/>, N and are pairs of ordinates that are equally diflant. Now, it is eafy to fee from the figure, that in ■whatever fituation the pairs of cquidiftant ordinates may be, M m + &-j-N n, or the fum of the attractions will be always greater than that of the repulfions. Let the chords MQ, PN, MP, N£) be drawn. Bi- fect them in B, D, E, E, and join EF. Draw the or¬ dinates E e, Ff, and BD (cutting EF in C). Draw P « parallel to the axis, cutting E e in s. Draw alfo Qi parallel to the axis, cutting Ff in + zzz repulfions', but m-\-q is greater than p-\-n, therefore A and B will attraCt each other. Again (pn-\-q)—(/>-}-zz) equals M /, = 2 E 0 = 2 BD = 4 CD. The above aCtion will be increafed by any one of four circumftances, as, 1. By increafing the ftrength of either magnet. 2. By leffening the diftance between the two magnets. 3. Increafing the length of A, the diftance between it and B remaining the fame. 4. By increafing the length of B, the diftance between it and A remaining the fame. 2dly, Let us place the magnets, fo that their fimilar poles front each other. Here it is evident that the or¬ dinates which in the for er cafe reprefented attrac¬ tions, will now reprefent repulfions, and that the repel- £ T I S M. Cliap. Hi, ling forces of the magnets are equal to the former at- Theorv. trading forces at the fame diftances. As magnets are v-— feldom perfeCt, the repelling forces are, however, ufual- ly weaker than the attrading. To explain the diredive power of magnets, Dr R0-E bifon luppofed the magnet A not to be at liberty to ap-tion ofdl pi-oaeh B or recede from it, but to be fupported at itsr<;ft>ve centre B, fo as to turn round it. Now, its fouth polel?ower' s being more attracted by N than it is repelled by S, B is on the whole attraded by A, and by this attrac¬ tion would vibrate like a pendulum fupported at the centre B. Again, the north pole zz being repelled by N more than it is attraded by S, will be on the whole repelled, and B zz would alfo vibrate round B. Thus B would be kept in the pofition r B zz. This will be more evident if we fuppofe the magnet B arranged at right angles to the line AB, as in the dotted reprefentation / B zz' 5 for now s' and zz' are urged in oppofite con- ipiring diredions with equal forces, which, if the mag¬ net be very fmall, will ad nearly at right angles to zz'j'. If the pofition were oblique, the forces would be fome- what unequal; and allowances muft be made for the ob¬ liquity of the adion, that we may know the precife ro¬ tative momentum. This modification of the adion of A on B, we call the diredive power of A j and the modification of B, by which it tends to or from A, we call the polarity of B. Now, the diredive power of A and the polarity of B may be increafed, I* By increafing the ftrength of either A or B, or both 5 2. By diminithing the diftance between A and B •, 3. By increafing the length of A; and, 4. By diminilhing the length of B, the diftance be¬ tween them remaining the fame. We may remark, that the diredive power of A is always greater than its attradive power, by a certain meafure which we may reprefent by the formula 2 (p—y) which is thus derived. The difference be¬ tween them may be expreffed by 11—2 0 L ; but s e~ P p—p, and i L—:P p—F f—F p—£) q—F difeover this law, we mult firft exadUy deter¬ mine the pofition of the magnetic equator, which is as an intermediate line between the northern and the fouthern inclinations. For this purpofe we have the advantage of being able to compare two diredt obferva¬ tions, one of La Peroufe, and the other of M. Hum¬ boldt. The former found the magnetic equator on the coafts of Brafil at io° 57' of fouth latitude, and 25° 23' of weft longitude, counted from the meridian of Paris, The latter found the fame equator in Peru at 70 1' of fouth latitude, and 8o° 41' of weft longitude, alfo rec¬ koning from the fame meridian. Thefe data are fuffi- cient iap. IN. M A G N I f'heory. cicnt to calculate the pofition of the magnetic equator, ■"V*"' fuppofing it to be a great circle of the terreftrial fphere $ an hypothelis which appears to be conformable to ob- fervations. The inclination of this plane to the terref- trial equator is thus found to be equal to io° 58' 56", and its occidental node on that equator is at 120° 2' 5" weft from Paris, which places it a little beyond the continent of America, near the Gallipagos, in the South fea ; the other node is at 590 57' 55" to the eaft of Pa¬ ris, which places it in the Indian Teas (d). “ We do not give this determination as rigoroufly exaft; fome corrections might no doubt be made to it, had we a greater number of obfervations equally pre- cife j but we are of opinion that thefe corrections would be very fmall, and it will be feen afterwards that, in¬ dependently of the confidence which the two obferva¬ tions we have employed deferve, we have other reafons for entertaining this opinion (e). “ It is very remarkable that this determination of the magnetic equator agrees almoft perfectly with that given long ago by Wilke and Lemounier. The latter in particular, who for want of direft obfervations had difcufied a great number of correfponding obfervations, indicates the magnetic equator in Peru towards 70 201 of fouth latitude, and M. Humboldt found it in the fame place at 70 i'j befides, Lemounier’s chart, as well as that of M. Wilke, indicates for the inclination of the magnetic meridian about 11°, and they place the node about 140° of weft longitude, reckoned from the meri¬ dian of Paris. “ Can it be by chance, then, that thefe elements, found more than 40 years ago, Ihould accord fo well with ours founded on recent obfervations ? or does the inclination of the magnetic equator experience only very fmall variations, while all the other fymptoms of terreftrial magnetifm change fo rapidly ? We ftiould T I S M. not be far from admitting the latter opinion, when we confider that the inclination of the magnetic needle has changed at Paris 30 in 60 years fince it has been ob- ferved ; and that at London, according to the oblerva- tions of Mr Graham, it has not changed 2° in 200 years, while the declination has varied more than 2c0 in the fame interval, and has paffed from eaft to weft : but on the other hand the obfervation of the inclination is fo difficult to be made with exaftnefs, and it is fo ftiort a time fince the art of meafuring it with pre- cifion was known, that it is perhaps more prudent to abftain from any premature opinion on phenomena, the caufe of which is totally unknown to us.” To employ the other obfervations of M. Humboldt in regard to the inclination, the terreftrial latitudes and longitudes reckoned from the magnetic equator were firft reduced. The latter, being reckoned from the node of that equator in the South fea, M, Biot firft; perceived by thefe calculations that the pofition of that plane determined by preceding refearches was pretty exaft ; for fome of the places, fuch as Santa-Fe and Javita, where M. Humboldt obferved inclinations aimoft equal, were found nearly on the magnetic parallel, t hough diftant from each other more than 6o° of longitude. When thefe reduflions were made, M. Biot en¬ deavoured to reprefent the figns of the inclinations ob¬ ferved, and to leave as little to chance as poffible. He firft tried a mathematical hypothefis conformable enough to the idea which has hitherto been entertained in re¬ gard to terreftrial magnetifm. He fuppofed in the axis of the magnetic equator, and at an equal diftance from the centre of the earth, two centres of attractive forces, the one auftral and the other boreal, in fuch a manner as to reprefent the two oppofite magnetic poles of the earth. He then calcu¬ lated the effeCt which ought to refult from the aCtion of Th . (d) To calculate this pofition, let NEE' (fig. 29.) be the terreftrial equator ; NEIL the magnetic equator, fuppoled alfo to be a great circle, and HL the two points of that equator, obferved by Meffrs Humboldt and La Peroufe. The latitudes HE, LE', and the arc EE\ which is the difference of longitude of thefe two points, is known ; consequently, if we fuppofe HE—LE'—) — tang b' cot. y R ^ (.r-}-T»') tang, b' tin. x tang. If tang, b fin. v cot. x~ -—- cof. tang.b Let us now take an auxiliary angle tp, fo that we may have tang, b fin. v tang. ) and we fliall have By thefe equations we may find x, and then y, by any of the firft two. (e'I La Peroufe. aHer having doubled Cape Horn, fell in a fecond time with the magnetic equator in 18' north latitude, and 119° 7' of longitude weft from Paris. Tie was therefore very in ar the node of the magnetic equa¬ tor, fuch as w£ have deduced it from obfervntions. This f ft eftabli'hes' in a pofitiv* manner two important eon- fequences: Fu <, that th -receding deirfmmnftt'os teg*.-re or.1% v. <7 flight cor reft ions; and the fecond, that the magnetib equator is -realty a great cue' . not exaftly, at Icaft very nearly. CQ g <*■> ‘ Fig. 30. M A G N of tliefe centres m any point ox the furface of the earth, making their attraftive force reciprocally vary as the fquare of the dillance ; and in this manner he obtain¬ ed the direction r-f the refult of their forces, which ought to be that alfo of the magnetic needle in that latitude. He fuppofes that the point B (fig. 30.) is the north magnetic pole of the earth, and that the point A is the fouth magnetic pole j he fuppofes alfo that there is in tne point M, at the lurface of the earth, a molecula of the auftral fluid which is attrafted by B and repel¬ led by A in the inverfe ratio of the fquare of the di- ftance ; and he requires what will be the direction of the power refulting from thefe two forces adting on that molecula. It is evident that this diredtion will be that alfo which would be affumed in the point M by the needle of a compafs freely fufpended ; for, in con- fequence of the fmallnefs of the needle in comparifon of the radius of the earth, the lines drawn from its points to one centre, B or A, may be confidered as parallel, efpecially if the points A and B are near the centre of the earth, which is the cafe with nature, as may be feen. He firfl: fuppofes that the earth has d fpherical fi¬ gure, and that the two poles A and B are equal in force, and he then examines how far the latter fuppofi- tion agrees with the refults obferved. Let AM then = D', BM = D, CP = a?, PM = y, the angle MCP=:», CA = CB=r a. He then makes drrrKr; r being = the radius of the earth, and K a conftant but indeterminate quantity. Let; X, Y, alfo be the forces which attradf M in the diredtion of the axes of the co-ordinates, and |8 the angle which the refulting force makes with the axis ABC. . E T I S M, Chap, Ur, . He then gives the following equations, in which F Theory.' is the magnetic force, at a distance equal to unity. '■ K F * = — cof. MBD— — cof. MAD J + 2 axis Y = — fin. MBD—jr~fln. MAD 5 + —■ernoutii’s It depends on the following principle. If a dipping dipping needle be made by an ordinary workman, and balanced needle, with fome care, fo that when impregnated withmagne- tifm, it may fhow nearly the true dip, and if it be touched, and the dip obferved, then its magnetifm de- ftroyed, and its balance fo altered, that without any magnetifm it will take nearly the inclination of the true dip 5 and if it be then touched again, giving it the fame polarity as it had before, it is evident that it will now approach very nearly to the true dip, fince, by its want of perfect equilibrium, it was deranged only a few de¬ grees from its proper direftion. If the fecond obferva¬ tion of the dip fhould, from the inaccurate formation of the needle, differ conliderably from the firft, the opera¬ tion muft be repeated j and in this third obfervation there will very feldom be an error'of more than half a degree. Bernoulli’s inftrument is as follows. A very light graduated brafs circle EFG (fig. 32.) is fixed on one Fig. 32. fide of the dipping needle, fo as to be concentric with its axis, and the whole is balanced with as much nicety as may be, before being impregnated. CD is a very light index fixed to the axis in fuch a manner as to turn on it with fome difficulty. By this the equilibrium of the needle will be deftroyed. If great care has been taken in forming the inftrument, and if it has been ba¬ lanced with great accuracy, it will, by the addition of the index, be made to fettle fo as to have the index perpendicular to the horizon, at whatever degree of the circle the needle may happen to point. As fuch accu¬ racy, however, is fcarcely to be expefted, let the in¬ dex be fet to feveral different degrees of the circle, and note the inclination taken by the needle before being magnetized, correfponding to each pofition of the index, and let all thefe be written down. For example, let us fuppofe that when the index is at 50°, the needle in¬ clines 46° from the horizon; if we obferve at any place that the needle, after being magnetized, inclines 46°, when the index is at 50°, we may be fure that the for¬ mer is the true magnetic dip at that place, as the needle is not deranged by the magnetifm that has been given it, from the fituation it would affume by gravity alone. We ufually know fometbingof the dip that may be ex¬ pected at any place. If we fet the index accordingly, and if the needle does not then point out the expeCted dip, change the pofition of the index, and again obferve the dip ; examine whether this fecond pofition of the index and the fecond dip form a correfponding pair of numbers, fuch as we have written down ; if they do, we have got the true dip, but if not, another pofition of the index muft be tried. Thus, by noticing whe¬ ther the agreement of this laft pair be greater or lefs than that of the former pair of numbers, we learn whe¬ ther we are to change the pofition of the index in the fame or in the oppofite direction. ^ A clofe analogy has long been remarked between the Analogy phenomena of magnetifm and thofe of induced eledrici-between ty, efpecially thofe of attraftion and repulfion. The me-ele£ricity chanical com pofition of thefe aftions produces a directive power and polarity, both in eleCtrical and magnetical bodies. It is eafy to form an eleCtrical needle that will 3 D ^ arrange 107 fitter’s ex' jcriments. M AON arrange itfelf with reipect to the overcharged and under¬ charged ends of a body eleflrified by polition, juft as a magnetic needle arranges itfelf with refpeft to the mag¬ net. A ftick of fealing wax may be touched in a manner fimilar to the double magnetic touch, fo as to acquire poles of confiderable force, and very durable. Again, melted fealing wax, when cooled in the neighbourhood of a pofitive and negative ele&ric, acquires permanent poles, juft as a red-hot fteel bar acquires them by be¬ ing quenched near a magnet. Laftly, lightning fome- times gives polarity to needles, fometimes deftroys it, and fometimes reverfes their polarity. From thefe various circumftances of refemblance, fome have fuppofed that both phenomena originate from the fame cauie, but there are feveral circumftances which fhow their original caufes to be different. Thus, V'e find that eleftricity is common to all bodies, and can be excited or induced on all in a degree that is pretty nearly equal. Magnetifm, on the contrary, though from Coulomb’s experiments, it appears in fome degree to affedl all terreftrial bodies, a6ts, however, very imperceptibly on all but iron and its compounds. The adtiqn of lightning muft not be confidered as a proof of their identity, fince that is accompanied with a great degree of heat, and we have already feen that this power, under favourable circumftances, is a very aftive agent, both in producing and deftroying mag¬ netifm. Again, there is nothing in magnetifm like a body being entirely overcharged, or entirely under¬ charged, as in eledlricity; but a magnetic body having two poles, muft always be overcharged at one extremi¬ ty, and undercharged at the other. There is nothing in magnetifm refembling that inconceivably rapid mo¬ tion which we fee in eleftricity. In fine, the only per¬ fect refemblance is between the induced magnetifm of common iron, and the induced electricity of a conduc¬ tor. On the arguments that have been employed for and againft the identity of magnetifm and eledlricity, our readers may confult Van Swinden, Sur l'Analogic cle PEleftricite et du Magnetifme, and a trad by iEpinus De Similitudine FJecincitatis et Magnetifmi. Some late experiments of Ritter tend to fhow a greater analogy than has yet been fuppofed, between magne¬ tifm and that modification of electricity which we call galvanifm. Mr Ritter’s firft experiments with the magnet wrere on frogs. He found that a magnetic iron wire, with another not magnetic, excited a galvanic palpitation in thefe animals. Prefently he obferved, that the fouth pole excited ftronger palpitations, and the north pole weaker, than the iron not magnetic. Having conftant- ly noticed, that the metals moft fufceptible of oxidation excited the ftrongeft palpitations, he inferred, that the fouth pole poffeffes a greater affinity for oxygen than ftmpie iron, and the north pole lefs. This fuppofition he confirmed by means of feveral chemical re-agents. He placed a magnetic iron wire on pieces of glafs in a plate of earthen ware, and pour¬ ed upon it a very weak nitric acid. The fouth pole was attacked by the acid much more powerfully than the north 5 and was foon furrounded by a depofition of oxygen, the quantity of which greatly exceeded that of the other pole. The different oxidability of the magnetic pole is very E T 1 S M- Chap. Uj well exhibited like wife, by taking three fmall bottles Theory, of equal fize, filled with water, either pure or flightly acidulated, and putting into one the fouth polar end of a magnetic ware, into a fecond the north polar end of a fimilar wire, and into the third the end of an equal wire not magnetic ; the fouth pole will firft begin to depofit oxide, the unmagnetic iron a little after, and the north pole laft. This experiment requires confide¬ rable care. The furface of the water muft be covered with very freffi oil of almonds, to exclude all accefs of air. Care muft be taken too, that one of the bottles is not more expofed to the fun than the others, becauffi light accelerates oxidation. Ritter convinced himfelf of this by direft experiments j expofing two iron wires m water to the iun, but covering one of the phials with black paper, when that in the phial left uncovered was oxidated much more quickly. If infufion of litmus be fubftituted inftead of the wa¬ ter in the three phials in the preceding experiment, the relative oxidations will be the fame, but they will be attended with a change of colour, fhowing that an acid is produced proportional to each oxidation ; fo that the fouth pole not only undergoes the greateft oxidation, but likewife reddens the infufion of litmus moft. The action that takes place in this experiment is very feeble, and frequently requires a week to produce a diftineft eff feft j and indeed to accelerate it fo much as this, it is neceffary to add, previoufty to the infufion, as much acetic acid as will incline it to red, without completely changing its colour. The infufion reddened in this ex¬ periment refumes its blue colour on expofure to the air ; but we muft not hence conclude, that the acid produced by the a&ion of the magnet is very volatile, for infufion of litmus reddened' by phofphoric acid, or any other, exhibits the fame phenomenon. . The following experiment exhibits fome things pecu¬ liar, and therefore we ffiall give it more at large. It has not been repeated, but the harmony of its refults is in favour of its accuracy. Sixteen magnetic wires, of equal fize and power, were placed in fix veffels, all equally full of a mixture of one part nitric acid, and 36 parts water, in the following manner : in the firft glafs were placed two wires, one with the north pole immerfed in the fluid, the other with the fouth, and not more than half a line afunder : in the fecond, the fame, but the wires an inch and three-fourths apart : in the third and fourth were each three wires, with the fouth poles of all immerfed, but their diflances in the two glaffes different, as in the firft and fecond : in the fifth and fixth were wires fimilarly arranged, but with the north poles immerfed. Different quantities of oxide were gradually depofed, and to exprefs the whole in few words, we will call the fouth pole S, the north pole N, their greater diftance^, and their lefs />, and we. will exprefs the order of oxidations as follows : SNg~^ SN/c^3 S/>-^3 Sg-^j Ngz^. On the nineteenth day it was obferved, that the lofs of fluid by evaporation had not been equal in all the veffels, but took place in the inverfe order of the oxidations. All the magnetic wires were weakened in power j NS^ leaft y NS/> more : of the wires 3 S/>, two had loft lefs power than the third ; and in like manner 3 S3 N/>, 3 N^-, had each two left more powerful than the third y the ftrongeft were equal to NS^. In Ft?ArcA*l>a/d Jfu/f* / — MAGNETISM. PLATE CCXC1X. * S'/Yf -.Q-i. . PLATE CCC ' ?'ftl. 25. /f'f- *7- M A GNE TISM. ' Ly . 2#. 50. - T3B ft. A-r/z* 7ft fcZ Sculjp -c 7': ^ * III. M A G N E In another experiment, where two little veffels filled with infufion of litmus were employed, one of them containing two magnetic wires, the fouth poles of which ■were immerfed in the fluid 5 the other two fimilar wires, of which the oppofite poles were immerfed} the oxida¬ tion was greateft in the latter veffel. The analogy between galvanifm and magnetifm is fliil farther proved by other experiments of Ritter on galvanising metals, which he does by placing them in a ftream of galvanic fluid proceeding from a ftrong pile. He found that a golden needle thus galvanized and ba¬ lanced on a pivot, exhibited, like a magnetized iron needle, both direftive power and horizontal inclination. Some late experiments of Ritter, referring flill more direftly to the analogy between magnetifm and galva¬ nifm, were communicated to the Royal Academy of Sciences of Munich, and the following are their gene¬ ral refults. 1. Every magnet is equivalent to a pair of heteroge¬ neous metals united together j its different poles repre- fent as it were different metals. 2. Like them, it gives eleftricity ; that is to fay, one of the two poles, the pofitive eledtricity, and the other the negative. 3. By following the fame procefs a certain number of magnets, as well as a certain number of pairs of metals, afforded eledlricity ; and in this manner the eledlricities afforded by the poles of different magnets, have been fuccefsfully indicated by the eledlrometer. 4. By means of thefe eledtricities, one of thefe bat¬ teries of magnets, accordingly as it is more or lefs ftrong, produces upon dead and living bodies, all the 397 Theory. T I S M. phenomena which are produced by a pile of Volta, of the common kind, and of the fame force. v “ 5. The experiments which prove this, fliow, that in magnetized iron, the fouth pole gives pofitive eledtrici- ty, and the north pole negative eledlricity j but that on the contrary in magnetized fteel, the north pole af¬ fords the pofitive, and the fouth pole the negative. 6. The fame inverfe difpofition is alfo obferved with regard to the polar oxidability of the magnetized body in which this change is produced by magnetifm. In magnetized iron the fouth pole is moft oxidable, and the north pole leaft •, whereas in magnetized fteel the north pole is moft oxidable, and the fouth leaft. 7. Mr Ritter thinks, that by confidering the earth as an immenfe magnet, thefe refults might ferve to ex¬ plain various phenomena of nature, fuch as the phyfical difference between the two.hemifpheres, the aurora borealis and aurora auftralis. In fa£l, after what has been juft ftated, the earth confidered as a magnet, may be taken as an equivalent to an immenfe pile of Volta, of which the poles are on one fide fufficiently clofed by the waters of the ocean. And the adlion of this pile muft produce, and has produced the greateft; chemical changes, in the materials of the earth j changes which muft have differed according to the poles -y and of which pile the poles at the other extremity have always fuch an abundance of eledlricity as to caufe its fplendour to appear by radiations in the vaft fpaces of the heavens*. *Nichol- The foregoing experiments appear to prove that mzg-f071* netifm has fome effedt in producing chemical changes, ^ ’xv’ f‘ iand thence we may infer that perhaps it would not be altogether inadlive in the animal economy. INDEX. tCTION, magnetic, law of, N° 80, 89 inveftigated by Lambert, by Robifon, 'pinus's method of touching bars, theory of magnetifm, ncients, opinions of, refpedting the I caufe of magnetic attradlion, 'iparalus, magnetical, •mature of magnets, YtraSliony magnetic, between iron and the magnet neutral, ptrachon, magnetic, not fenfibly di- imniihed by interpofition of non- ; ferruginous bodies, howufually mea- fured, increafedby iron, by an increafed weight, explained, |m of a magnet, 83 84 55 79 70 p. 362 N°i3 p. 368 N° 27 28 29 31 3 2 85 7 B. ■rnoulh\ dipping needle, 105 obfervations on terreftrial mag¬ netifm, N° 95 C. Canton’s method of touching bars, 54 of making artificial magnets, 61 Communicative piece of money, 39 Cotte's axioms refpedting the magne¬ tic declination, p. 366 Coulomb''s experiments on univerfal magnetifm, ' N° 36 method of making artificial magnets, _ 57 theory of magnetifm, 103 method of finding the mag¬ netic dip, 95 D. Declinationy magnetic, 3 varies, 19 tables of, p. 364 axioms refpedting, 366 Dialy magnetic, N° 42 Dipy magnetic, tables of, p. 367 diminilhes as we af- cend above the earth, 366 Dip, magnetic, Coulomb’s method of afcertaining, N° 95 Dipping of the magnet, needle, Bernoulli’s, DireElivc power, what, explained, Divining eircles, Duhamel's method of touching bars, E. 4 I5 105 2 87 43 53 Earth, magnetifm of, firft rationally explained by Gilbert, 71 illuftrated, 7 5 ebjedtiontoan- fwered, 94 Ele&ricity and magnetifm, analogy between, ic6 Equator of a magnet, 7 magnetic, determined by Humboldt, 98 Euler’s theory of magnetifm, 77 Experiments iliuftrating magnetic po¬ larity, . _ p. 363 on magnetic attradlion, 368 repulfion, N034 entertaining, . 37 Experimentsy 398 Experiments, Ritter’s, N° 107 F. Forces, magnetic, picture ofj 85 G. Galvanifm and magnetifm, analogy between, 107 Gilbert's theory of magnetifm, 71 proofs of, 75 H. Hawhjbee's attempts to inveftigate the law of magnetic adtion, 82 Hindjhaw's experiment illuftrating terreftrial magnetifm imitated, 75 Humboldt's obfervations on terreftrial magnetifm, 95 determination of the mag¬ netic equator, 98 I. Inclination of the needle increafes as vve proceed from the magnetic equator. See Dip. IOO Induced magnetifm, what, 46 gradual, 90 Iron naturally arranges itfelf in a de¬ terminate manner, 16 polarity of, temporary, 17 attracted by the magnet, 22 filings, a£tion of a magnet on, 26 attra&s iron, 30 becomes magnetical by proxi¬ mity to a magnet, 44 by pofition, 58 by hammering or fri&ion, 59 by heat, 60 attrafted only becaufe it becomes magnetical by induftion, 91 filings, arrangement of, explain¬ ed, 92 K. Knight's artificial loadftones, 64 L. Lambert's inveftigation of the law of magnetic a6lion, 83 M. Magnet, what, J, 12 MAGNETISM. Magnet, declination of, N° 4 dipping of, 3 artificial, 6, modes of making, 51 — axis and equator of, armature of, polarity of, permanent, poles of, how found, attractive power of, varies, Magnetifm, general idea of, utility of, works on, lift of, how applied to ufe, how ufually difcovered, N°35 univerfal, Coulomb’s ex¬ periments on, communication of, p. induced, what, N' artificial, produced by touching with a mag¬ net, artificial, produced by poiition, artificial, produced by friCtion artificial, produced by heat, impaired by improper po¬ fition, by heat, by rough ufage, by oppofition of fimilar poles, 69 theories of, p. 380 terreftrial, of Gilbert, N° 71 obfervations on, by Biot and Humboldt, 93 Marcel's method of touching bars, 62 Mining, ufe of the compafs in, p. 366 Mufchenbroeck's attempt to inveftigate the law of magnetic aCtion, NG 81 !3 64 7 18 23 24 1 9 10 366 36 373 46 50 58 59 60 66 67 68 Needle, magnetic, dipping, N. FerfpeRive glafs, magnetic, 38 Polarity, magnetic, what, 2 difturbed by the approach of iron, 20 -Index Polarity, magnetic, affeded by the atmofphere, j^0 contrary, induced on iron by a magnet, Poles of magnet, how found, contrary, attraCl each other, J correfponding, repel each other, Power, magnetic, ^ R. Ritter's experiments on the analogy of magnetifm and galvanifm, Robifon's inveftigation of the law of magnetic aCtion, explanation of magnetic at¬ traction, of directive power, S. Steel, foft, how magnetized, T* Table, magnetic, Taylor's attempts to find the law of magnetic aCtion, Terrejlrial magnetifm, obfervations on, by Humboldt and Biot, magnetifm aCts on the whole furface of the earth, magnetifm increafes from the equator to the poles, magnetifm modified by lo¬ cal circumftances, Theory of Gilbert, Euler, ./Epinus, Coulomb, Touch, double, what, Touching magnetic bars, old methods of, of curved bars, how impoved by Duhamel, by Michell and Canton, by jEpinus, by Coulomb, W. Watch, myfterious, 107 85 87 63 43 82 95 96 97 99 7i 77 79 J03 54 5° 51 52 53 ; 54 55 57 41 MAG Animal Animal MAGNETISM, a fympathy fuppofed by feme Magnetilm. perfons to exifl. between the magnet and the human ~V body ; by means of which the former, it was thought, pofleffed the property of curing many difeafes. I he notion of animal magnetifm appears to have originated, in I774> with a German philofopher named Father Hehl, who greatly recommended the ufe of the magnet in medicine. M. Mefmer, a phyfician of the MAG fame country, by adopting the principles of Hehl, be- Animal came the direCt founder of the fyftem j but, afterwardsMagnetlfni; deviating from the tenets of his inftruCtor, he loft his v patronage, as well as that of Dr Ingenhoufz, which he had formerly enjoyed. Mefmer had already diftinguifh- ed himfelf by “ A differtation on the influence of the Stars upon the human body,” which he publicly de¬ fended in a thefis before the univerfity of Vienna} but he M AG [ 399 ] tnimal he was fo unable to Hand before the oppofition of Hehl nlcated, propa ignetifm- ancj Ingenhoufz, that his fyftem fell aimed indantly into difrepute. Mefmer appealed to the Academy of Sciences at Berlin ; but they rej.edted his principles as deditute of foundation, and unworthy of the fmalled attention. He then made a tour through Germany, publifhing everywhere the great cures he performed by means of his animal magnetifm, while his enemies eve¬ rywhere purfued him with detedlions of the falfehood of his aiTertions. Mefmer, dill undaunted by fo many defeats, return¬ ed to Vienna 5 but meeting there with no better fuccefs than before, he retired to Paris in the beginning of the year 1778. Here he met with a very different recep¬ tion. He was fird patronized by the author of the Di&ionnaire des Merveilles de la Nature; in which work a great number of his cures were publifhed, Mef¬ mer himfelf receiving likewife an ample tedimony of his candour and folid reafotiing. Our piiyfician foon collefted fome patients } and in the month of April 1778 retired with them to Creteil, from whence he in a (hort time returned with them perfeftly cured. His fuccefs was now as great as his former difappointment. Patients increafed fo rapidly that the doftor was foon obliged to take in pupils to affid him in his operations. Thefe pupils fucceeded equally well as Mefmer him¬ felf 5 and fo well did they take care of their own emo¬ lument, that one of them named M. Hedon realized upwards of ioo,oool. derling. In 1779 Mefmer pub- lidied a memoir on the fubjedt of Animal Magnetifm, promifing afterwards a complete work upon the fame, which fhould make as great a revolution in philofophy as it had already done in medicine. The new fydem now gained ground daily ; and foon became fo fadiionable, that the jealoufy of the faculty was roufed, and an application concerning it was made to government. In confequence of this a committee was appointed to inquire into the matter, confiding partly of phyficians and partly of members of the Royal Academy of Sciences, with Hr Benjamin Franklin at their head. This was a thunderdroke to the fupporters of the new dodlrine.—Mefiner himfelf refufed to have any communicatien with the committee j but his mod eelebrated pupil Defion was lefs fcrupulous, and ex¬ plained the principles of his art in the following man¬ ner : 1. Animal magnetifm is an univerfal fluid, condi- tuting an abfolute plenum in nature, and the medium of all mutual influence between the celeflial bodies, and betwixt the earth and animal bodies. 2. It is the mod fubtle fluid in nature j capable of a flux and reflux, and of receiving, propagating, and con¬ tinuing all kinds of motion. 3. The animal body is fubjefted to the influences of this fluid by means of the nerves, which are immedi¬ ately affedled by it. 4. The human body has poles and other properties analogous to the magnet. 5. The a&ion and virtue of animal magnetifm may be communicated from one body to another, whether animate or inanimate. 6. It operates at a great didance without the interr vention of any body. 7. It is increafed and refle&ed by mirrors j commu- 4 M A G rated, and increafed by found ; and may Animal be accumulated, concentrated, and tranlported. 8. Notwithdanding the univerfality of this fluid, all animal bodies are not equally affedted by it 5 on the other hand, there are fome, though but few in num¬ ber, the prefence of which dedroys all the effedts of animal magnetifm. 9. By means of this fluid nervous diforders are cured immediately, and others mediately j and its virtues, in fliort, extend to the univerfal cure and prefervation of mankind. From this extraordinary theory, Mefmer or M. Def¬ ion, had fabricated a paper, in which he dated that there was in nature but one difeafe and one cure, and that this cure was animal magnetifm : and, laflly, M. Deflon engaged, 1. To prove to the commiflioners, that fuch a thing as animal magnetifm exided j 2. To prove the utility of it in the cure of difeafes ; after which he was to communicate to them all that he knew upon the fubjeft. The commiflioners accord¬ ingly attended in the room where the patients under¬ went the magnetical operations. The apparatus con¬ fided of a circular platform made of oak, and raifed about a foot and a half from the ground ; which platform was called the baquet. At the top of it w'ere a number of holes, in which were iron rods with move- able joints for the purpofe of applying them to any part of the body. The patients were placed in a circle round, each touching an iron rod, which he could apply to any part of the body at pleafure j they were joined to one another by a cord palling round their bodies, the de- fign being to increafe theeft'edt by communication. In the corner of the room was a piano forte, on which fome airs were played, occafionally accompanied with a fong. Each of the patients held in his hand an iron rod ten or twelve feet long ; the intention of which, as Deflon told the commiflioners, was to concentrate the magnetifm in its point, and thus to render its effe&s more fenfible. Sound is another condudlor of this magnetifm 5 and in order to communicate the magnet¬ ifm to the piano forte, nothing more is neceifary than to bring the iron rod near it. Some magnetifm is al- fo furnilhed by the perfon who plays it} and this mag¬ netifm is tranfmitted to the patients by the founds. The internal part of the platform was faid to be fo contrived as to concentrate the magnetifm, and was the refervoir whence the virtue diffufed itfelf among the patients. Its ftrufture, however, is not mention¬ ed} but the committee fatisfied themfelves, by means of a needle and ele&rometer, that neither common magnetifm nor eledlricity was concerned, Belides the different ways of receiving the magnetifm alreadykmentioned, viz. by the iron, cord, and piano forte, the patients alfo had it direflly from the dodtor’s finger, and a rod which he held in his hand, and which he carried about the face, head, or fuch parts of the patient as were difeafed} obferving always the direc¬ tion of what he called the poles. The principal appli¬ cation of magnetifm, however, was by preffure of the hands or fingers on the hypochondria or lower regions of the ftomach. The effedts of thefe operations upon Dellon’s pa¬ tients were very different. Some felt nothing, neither had the magnetifm any effedl whatever upon them., Some Magnetifm- M A G Ammai Some fplt, coug'hed, fweat, and felt, or pretended to ■ ag"eti feel, extraordinary heats in different parts of the body. Many women, but very few men, had convulflons, which Deflon called their crifis, &c.—The commif- fioners at laft found that they could come to no fatis- faftory conclufion while they attended in this public w'ay, and therefore determined to try the experiments themfelves privately. As the fluid itfelf, however, was totally imperceptible by any of the fenfes, they could only afcertain themfelves of its exiftence by ul¬ timately curing difeafes, or by its obfervable effefts upon the human body. Being well affured, however, that though many difeafes were cured, it would not amount to any proof of the exiftence of animal mag- netifm, they determined to obferve its effedls on the animal economy. For this purpofe they made the fol¬ lowing experiments : 1. They tried it upon themfelves, and felt no¬ thing. 2. Seven of Deflon’s patients were magnetized at Dr Franklin’s houfe, four of whom felt nothing; three felt, or aflfedted to feel, fomething. 3. Several perfons in a higher fphere of life were magnetized, and felt nothing. 4. The commiflioners, now determined to difcover what (hare imagination had in this bufinefs, blind¬ folded feveral of the common people, and made them fometimes think that they were magnetized, at other times they magnetized them without letting them know that they did fo: the confequence was, that when they fuppofed themfelves magnetized, the pa¬ tients like wife thought they felt fomething, and vice verfa. 5. A magnetized tree was faid to produce convul- fions •, a young man, blindfolded, fell into convulftons when he imagined himfelf near the tree, though he was really at a conftderable diftance from it. Deflon accounted for this on the principle of all trees being magnetic : but in this cafe', every one, fuceptible of magnetifm, would be feized with convullions when he approached a tree. The fame influence of imagina¬ tion was obferved in a woman accuftomed to have con- vulfions when magnetized. They came on when no¬ thing was done to her, on being told, when blinded, that fhe was magnetized. Other inftances are given, from which it was evident, either that the patients were impoftors, or in fuch a moft; wretched ftate of debility both of mind and body, that the moft: trifling effefts of the former had the moft: powerful effefts on the latter. The commiflioners there¬ fore entirely difapproved of the whole. The touch, imitation, and imagination, they concluded, were the great caufes of the effe61s produced by M. Dqflon’s operations 5 and by means of thefe they fuppofed, that convulfions, which in themfelves are a very violent dif- order, might be fpread much farther than could be wiftied, .even through a whole city. It was obferved that the operator fometimes prefled ftrongly, and for a length of time, upon different parts of the body, parti¬ cularly the hypochondria and pit of the ftomach j and it is veil known that a ftrong preffure on thefe parts will produce difagreeable fenfations in thofe who enjoy perfeft health. It is needlefs to add more upon this fubjeft, than that Mefmer complained of the report of the commif- M A H fioners,. petitioned parliament, was by them command- Animal ed to difcover the myfteries of his do&rine ; and that it is now exploded by every man of fenfe.—The con- 0. clufion of the academicians concerning it was, that it is . Ma(lli;- not entirely ufelefs even to philofophy ; as it is one faSl more to be configned to the hiftory of the errors and il- lufions of the human mind, and a fignal inftance of the power of imagination. MAGNIFYING, the making of objecls appear larger than they would otherwife do j whence convex lenies, which have the power of doing this, are called magnifying glajfes. See Optics. MAGNITUDE, whatever is made up of parts lo¬ cally extended, or that has feveral dimenftons j as a line, furface, folid, &c. MAGNOLIA, the Laurel-leavedTulipTree, a genus of plants belonging to the polyandria clafs j and in the natural method ranking under the 52d or¬ der, CoaduncJce. See Botany Index. MAGNUS campus, in Ancient Geography, a traft lying towards Scythopolis, or Bethfan in Galilee, be¬ yond which it extends into Samaria j Jofephus placing the common boundary between thefe two diftriifls in the Campus Magnus. Called alfo Efdrelon, (Judith) •, 30 miles long, and 18 broad j having Samaria with Mount Ephraim to the fouth, the lake Genefareth to the eaft, Mount Carmel to the weft, and Lebanon to the north. MAGNUS Forties, in Ancient Geograph/, a port of the Belgae, in Britain, on the Channel. Now thought to be Portfmouth in Hampftiire.—Another Portus Mag¬ nus of Bsetica in Spain j a port to the eaft of Ab- dera. MAGO, the name of feveral Carthaginian generals. See Carthage. Mago, in Ancient Geography, a citadel and town of the Balearis Minor, or Minorca. Now Maon, or Ma¬ hon. E. Long. 4. b. N. Lat. 39. 5. MAGONTIACUM, Mogontiacum, or Mogon- tiacus, truncated afterwards by the poets to Mogontia, Maguntia, and Moguntia : a town of Gallia Belgica. Now Ment%, capital of the electorate of that name j fituated at the confluence of the Rhine and Maine. E. Long. 8° N. Lat. 50°. MAGOPHONIA (formed from peya?, “magus,” and “ flaughter”), the name of a feafl: among the ancient Perfians, held in memory of the expulfion of the Magians. The Magian Smerdis having ufurp- ed the throne of Perlia, upon the death of Cambyfes, 521 years before Jefus Chrift, feven of the principal lords of the court confpired to drive him out of it.— Their defign was executed with good fuccefs. Smer¬ dis and his brother, another Magian, called Patizithes, were killed. Upon which the people alfo arofe, and put all the Magi to the fword, infomuch that there would not one have efcaped, had not night come upon them. Darius, fon of Hyftafpes, was then eledted king j and, in memory of this maffacre of the Magi, a feaft was inftituted, fays Herodotus, called Magophonia. See Magi. MAGPIE. See Corvus, Ornithology Index. MAHIE, the name given by the inhabitants of Otaheite, or George’s ifland, to their bread-fruit when made into a kind of four pafte, which, in confequence of having undergone a fermentation, v ill keep a con- fiderable [ 400 1 ' MAH [ 401 ] M A H Kahie fiderable time, and fupply them with food when no II ripe fruit is to be had. When therefore they fee a ahoraet. great 0f ne,tV frujt on t}-ie treeSj them ail at once of their former crop, of which they make mahie. This fuccedaneum for ripe bread-fruit is thus made. They gather the fruit before it be perfectly ripe, and laying it in heaps, cover it clofely with leaves. In.this date it ferments, and becomes difagreeably fvveet j the core is then taken out entire, and the reft of the fruit thrown into a hole in their Houfes, dug on purpoie, and neatly lined in the bottom and fides with grafs. The whole is then covered with leaves, and heavy ftones are laid upon it. In this ftate it under¬ goes a fecond fermentation, and becomes four ; after which it will fuffer no change for many months. It is taken out of this hole as it is wanted for ufe, and being made into balls, it is wrapped up in leaves and baked, and thus dreffed it will keep for five or fix w'eeks. It is eaten, both cold and hot, and the natives of thole countries feldom make a meal without it j but to Cap¬ tain Cook and his company the tafte was as difagree- able as that of a pickled olive generally is the firft time it is eaten. M A.HO. See Hibiscus, Botany Index. MAHOGANY. See Swietenia, Botany Index. MAHOMET, or Mohammed, ftyled the Impojlor, was born in the reign of Anulhirwan the Juft, empe¬ ror of Perfia, about the end of the 6th century of the Chriftian era. He came into the world under fome difadvantages. His father Abd’allah was a younger Ion of Abd’almotalleb ; and dying very young, and in his father’s lifetime, left his widow and infant fon in very mean circumftances, his whole fubilance confift- ing but of five camels and one Ethiopian fhe-flave. Abd’almotalleb was, therefore, obliged to take care of his grandchild Mahomet; w hich he not only did during his life, but at his death enjoined his eldeft fon Abu- Taleb, who v'as brother to Abd’allah by the fame mo¬ ther to provide for him for the future-, which he very affectionately did, and inftruCted him in the bufinefs of a merchant, which he followed 5 and to that end he took him into Syria when he was but 13. He after¬ wards recommended him to Khadijah, a noble and rich widow, for her faftor ; in whole fervice he be¬ haved himfelf fo well, that by making him her hulband (he foon railed him to an equality with the richeft in Mecca. » After he began by this advantageous match to live at his eafe, it was, that he formed the fcheme of efta- blilhing a new religion, or, as he expreffed it, of re¬ planting the only true and ancient one profeffed by Adam, Noah, Abraham, Mofes, Jefus, and all the pro¬ phets, by deftroying the grofs idolatry into which the generality of his countrymen had fallen, and weeding out the corruptions and fuperftitions which the latter Jews and Chriftians had, as he thought, introduced into their religion, and reducing it to its original puri¬ ty, which confifted chiefly in the worlhip of one only God. Before he made any attempt abroad, he rightly judged that it was neceffary for him to begin with the converfion of his own houfehold. Having therefore retired with his family, as he had done feveral times before, to a cave in Mount Hara, he there opened the fecret of his miflion to his wife Khadijah j and ac- Vol. XII. Part II. quainted her, that the angel Gabrie^had juft before ap¬ peared to him, and told him that he was appointed the apoftle of God : he alfo repeated to her a pafibge which he pretended had been revealed to him by the miniftry of the angel, with thofe other circumftances of this firft appearance, which are related by the Ma¬ hometan writers. Khadijah received the news with great joy \ fwearing by him in whofe hands her foul was, that fhe trufted he would be the* prophet of his> nation ; and immediately communicated what ftie had heard to her coufin Warakah Ebn Nawfal, who, be¬ ing a Chriftian, could write in the Hebrew charafter, and was tolerably w'ell verfed in the feriptures j and he as readily came into her opinion, affuring her that the fame angel who had formerly appeared unto Mofes was now fent to Mahomet. The firft overture the prophet made was in the month of Ramadan, in the 40th year of his age, which is therefore ufually called the year of his miflion. Encouraged by fo good a beginning, he refolved to proceed, and try for fome time what he could do by private perfuafion, not daring to hazard the whole af¬ fair by expofing it too fuddenly to the public. He foon made profelytes of thofe under his own roof, viz. his wife Khadijah, his fervant Zeid Ebn Haretha, to whom he gave his freedom on that occafion, (which after¬ wards became a rule to his follow-ers), and his coufin and pupil Ali, the fon of Abu Taleb, though then very young: but this laft, making no account of the other two, ufed to ftyle himfelf the firjl of believers. The next perfon Mahomet applied to was Abd’allab Ebn Abi Kohafa, furnamed hbu Beer, a man of great authority among the Koreilh, and one whofe intereft he well knew would be of great fervice to him -, as it foon appeared : for Abu Beer, being gained over, pre¬ vailed alfo on Othman Ebn Affan, Abd’alraham Ebn Awf, Saad Ebn Abbi Wakkas, A1 Zobeir Ebn al Awam, and Telha Ebn Obeid’allah, all principal men of Mecca, to follow his example. Thefe men were the fix chief companions, who, with a few more, were converted in the fpace of three years j at the end of which, Mahomet having, as he hoped, a fufficient in¬ tereft to fupport him, made his miflion no longer a fe- cret, but gave out that God had commanded him to admonifti his near relations ; and in order to do it with more convenience and profpedt of fuccefs, he direfted Ali to prepare an entertainment, and invite the fons ^and defeendants of Abd’almotalleb, intending then to open his mind to them. This was done, and about 40 of them came j but Abu Laheb, one of his uncles, making the company break up before Mahomet had an opportunity of fpeaking, obliged him to give them a fecond invitation the next day 5 and when they were come he made them the following fpeech: “ I know no man in all Arabia who can offer his kindred a more excellent thing than I now do you \ I offer you happi- nefs both in this life, and in that which is to come j God Almighty hath commanded me to call you unto him : Who, therefore, among you will be afliftant to me herein, and become my brother and my vicegerent i1” All of them hefitating, and declining the matter, Ali at length rofe up, and declared that he would be his afliftant; and vehemently threatened thofe who ftiould oppofe him. Mahomet upon this embraced Ali with great denjonffrations of affeftion, and defired all who 3 E were MAH Mahomet were prefent to hearken to and obey him as his depu ty •, at which the company broke out into a great laughter, telling Abu Taleb that he muft now pay obedience to his fon. I his repulfe, however, was fo far from difcouraging Mahomet, that he began to preach in public to the people ”, who heard him with fome patience, till he came to upbraid them with the idolatry, obftinacy, and per- verfenefs of themfelves and their fathers: which fo highly provoked them, that they declared themfelves his enemies; and would foon have procured his ruin, had he not been prote&ed by Abu Taleb. The chief of the Koreilh warmly iblicited this perfon to defert his nephew, making frequent remondrances againft the innovations he was attempting 5 which proving in- eft'e&ual, they at length threatened him with an open rupture, if he did not prevail on Mahomet to defift. At this Abu Taleb was fo far moved, that he earneft- ly diffuaded his nephew from purfuing the affair any farther, reprefenting the great danger he and his friends mult otherwife run. But Mahomet was not to be in¬ timidated •, telling his uncle plainly, that if they fet the fun againft him on his right hand, and the moon on his left, he would not leave his enterprife: And Abu Taleb, feeing him fo firmly refolved to proceed, ufed no fur¬ ther arguments, but promifed to ftand by him againft all his enemies. The Koreilh, finding they could prevail neither by fair words or menaces, tried what they could do by force and ill treatment j ufing Mahomet’s followers fo very injurioully, that it was not fafe for them to con¬ tinue at Mecca any longer : whereupon Mahomet gave leave to fuch of them as had not friends to protect them to feek for refuge elfew'here. And accordingly in the fifth year of the prophet’s miflion, 16 of them, four of whom were women, fled into Ethiopia j and among them Othman Ebn Affan and his wife Rakiah, Mahomet’s daughter. This was the firft flight j but afterwards feveral others followed them, retiring one after another, to the number of 83 men and 18 wo¬ men, befides children. Thefe refugees w'ere kind¬ ly received by the Najalhi, or king of Ethiopia $ ■who refufed to deliver them up to thofe whom the Koreilh fent to demand them, and, as the Arab wri¬ ters unanimoufly atteft, even profefled the Mahometan religion. In the fixth year of his miflion, Mahomet had the pleafure of feeing his party ftrengthened by the con- verfion of his uncle Hamza, a man of great valour and merit; and of Omar Ebn al Kattab, a perfon highly efteemtd, and once a violent oppofer of the prophet. As perfecution generally advances rather than obftru&s the Ipreading of a religion, Iflamifm made fo great a progrefs among the Arab tribes, that the Koreilh, to fupprefs it effe&ually if pofiible, in the feventh year of Mahomet’s miflion, made a folemn league or covenant againft the Halhemites and the family of Abd’almo- talleb, engaging themfelves to contrafl no marriages with any of them, and to have no communication with them ; and, to give it the greater fandlion, reduced it into writing, and laid it up in the caaba. Upon this the tribe became divided into two fadtions j and the family of Haftiem all repaired to Abu Taleb, as their head : except only Abd’al Uzza, furnamed ^Ibu La- heb, who, out of inveterate hatred to his nephew and [ 402 i MAH his dodlrine, went over to the oppofite party, whofe Mahomet chief was Abu Sofia'a Ebn Harb, of the family of Ommeya. The families continued thus at variance for ihree years; but in the tenth year of his million, Mahomet told his uncle Abu Taleb, that God had manifeftly Ihowed his difapprobatkm of the league which the'Ko- reilh had made againft them, by lending a worm .to eat out every word of the inttrument except the name of God. Of this accident Mahomet had probably fome private notice : for Abu Taleb went immediately to the Koreilh, and acquainted them with it $ offering, if it proved falfe, to deliver his nephew up to them 3 but in cafe it were true, he infilled that they ought to lay slide their animofity, and annul the league they had made againft the Halhemites. To this they acquiefcedj and going to infped the writing, to their great afto- niftrment found it to be as Abu Taleb had laid j and the league was thereupon declared void. In the fame year Abu Taleb died, at the age of above fourfeore, and it is the general opinion that he died an infidel : though others fay, that when he was at the point of death he embraced Mahometanilm •, and produce fome paflages ©ut of his poetical compofitions to confirm their affertion. About a month, or, as fome ■write, three days after the death of this great benefac¬ tor and patron, Mahomet had the additional mortifica¬ tion to lofe his wife Khadijah, who had fo generoufly made his fortune. For which reafon this year is called the year of mourning. On the death of thefe two perfons, the Koreilh be¬ gan to be more troublefome than ever to their prophet, and efpecially fome who had formerly been his inti¬ mate friends j infomueh that he found himfelf obliged to feek for {belter elfewhere, and firft pitched upon Tayef, about 60 miles call from Mecca, for the place of his retreat. Thither therefore he went, accompa¬ nied by his fervant Zeid, and applied himfelf to two of the chief of the tribe of Thakif who were the inha¬ bitants of that place j but they received him very cold¬ ly. However, he ftaid there a month j and fome of the more confiderate and better fort of men treated him with a little refpeft : but the Haves and inferior peo¬ ple at length rofe againft him ; and bringing him to the wall of the city, obliged him to depart and return to Mecca, where he put himfelf under the prote&ion of Al Motaam Ebn Adi. This repulfe greatly difeouraged his followers. How¬ ever, Mahomet was not wanting to himfelf j but boldly continued to preach to the public affemblies at the pil¬ grimage, and gained feveral prolelytes j and among them fix of the inhabitants of Yathreb of the Jewilh tribe of Khazraj ; who, on their return home, failed not to fpe'ak much in commendation of their new reli¬ gion, and exhorted their fellow citizens to embrace the fame. In the 12th year of his miflion it was that Mahomet gave out that he had made his night-journey from Mecca to Jerufalem, and thence to heaven, io much fpoken of by all that write of him. Dr Prideaux thinks he invented it, either to anfwer the expeftations of thofe who demanded fome miracle as a proof of his miflion j or elfe, by pretending to have converfed with God, to eilablilh the authority of whatever he fliould think fit to leave behind by way of oral tradition, and make MAH [ 403 ] M ~iA H lahomet. make his fayings to ferve the fame purpofe as the oral —Y—'law of the Jews. But it does not appear that Maho¬ met himfelf ever expe&ed fo great a regard Ihould be paid to his fayings, as his followers have fince done and feeing he all along difclaimed any power of per¬ forming miracles, it feems rather to have been a fetch of policy to raife his reputation, by pretending to have aftually converfed with Ged in heaven, as Mofes had heretofore done in the Mount, and to have received fe- veral inftitutions immediately from him, whereas be¬ fore he contented Tiimfelf with perfuading them that he had all by the miniftry of Gabriel. However, this ftory feemed fo abfurd and incredible, that feveral of his followers left him upon it ; and had probably ruined the whole defign, had not Abu Beer vouched for his veracity, and declared, that if Maho¬ met affirmed it to be true, he verily believed the whole. Which happy incident not only retrieved the prophet’s credit, but increafed it to fuch a degree, that he was fecure of being able to make his difciples fwallow whatever he pleafed to impofe on them for the future. And thisfiflion, notwithftanding its extravagance, was one of the moft artful contrivances Mahomet ever put in praftice, and what chiefly contributed to the raifing of his reputation to that great height to which it af¬ terwards arrived. In this year, called by the Mahometans the accepted year, 12 men of Yathreb or Medina, of whom 10 were of the tribe of Khazraj, and the other two of that of Aws, came to Mecca, and took an oath of fidelity to Mahomet at A1 Akaba, a hill on the north of that city. This oath was called the women's oath ; not that any women were prefent at this time, but becaufe a man was not thereby obliged to take up arms in defence of Mahomet or his religion ; it being the fame oath that was afterwards exafted of the women, the form of which we have in the Koran, and is to this effe£l:: viz. That they ihould renounce all idolatry ; that they fiiould not (leal nor commit fornication, nor kill their children (as the Pagan Arabs ufed to do when they apprehended they fhould not be able to maintain them), nor forge calumnies 5 and that they fhould obey the prophet in all things that were reafonable. When they had folemnly engaged to all this, Mahomet fent one of his difciples, named Mnfab Ebn Omair, home with them, to inftruft them more fully in the grounds and ceremonies of his new religion. Mafab being arrived at Medina, by the afiiflance of thofe who had been formerly converted, gained feveral profelytes, particularly Ofaid Ebn Hodeira, a chief man of the city, and Saad Ebn Moadh, prince of the tribe of Aws ; Mahometanifm fpreading fo fall, that there was fcarce a houfe wherein there were not fame who had embraced it. The next year being the 13th of Mahomet’s mif- fion, Mafab returned to Mecca, accompanied by *73 men and two women of Medina who had profeifed ifla- rmfm, befides fome others who were as yet unbelievers. On their arrival they immediately fent to Mahomet, and offered him their affiftance, of which he was now in great need j for his adverfaries were by this time grown fo powerful in Mecca, that he could not ftay there much longer without imminent danger. Where¬ fore he accepted their propofal, and met them oneN night, by appointment, at A1 Akaba above mentioned, attended by his uncle A1 Abbas 5 who, though he was Mahomet, not then a believer, wilhed his nephew well, and made a fpeech to thofe of Medina, wherein he told them that as Mahomet was obliged to quit his native city, and feek an afylum elfewhere, and they had offered him their prote£tion, they would do well not to de¬ ceive him ; that if they were not firmly refolved to de¬ fend, and not betray him, they had better declare their minds, and let him provide for his fafety in fome‘other manner. Upon their protefting their fincerity, Ma¬ homet fwore to be faithful to them, on condition that they Ihould protedl him againft all infults as heartily as they would their own wives and families. They then alked him what recompenfe they were to expeft if they Ihould happen to be killed in his quarrel 5 he anfwered, Paradiie. Whereupon they pledged their faith to him, and fo returned home 5 after Mahomet had chofen 12 out of their number, who were to have the fame authority among them as the 12 apoffles of Chrift had among his difciples. Hitherto Mahomet had propagated his religion by fair means; fo that the whole fuccefs of his enterprife, before his flight to Medina, muff be attributed to per- fuafion only, and not to compulfion. For before this fecond oath of fealty or inauguration at A1 A.kaba, he had no permiffion to ufe any force at all; and in feve¬ ral places of the Koran, which he pretended were re¬ vealed during his ftay at Pvlecca, he declares his bufi- nefs was only to preach and admonifh ; that he had no authority to compel any perfon to embrace his re¬ ligion j and that, whether people believe or not, was none of his concern, but belonged folely unto God. And he was fo far from allowing his followers to ufe force, that he exhorted them to bear patiently thofe injuries which were offered them on account of their faith ; and, when perfecuted himfelf, chofe rather to quit the place of his birth and retire to Medina, than to make any refiftance. But this great paffivenefs and moderation feem entirely owing to his want of power, and the great fuperiority of his oppofers for the firft 12 years of his miffion ; for no fooner was he enabled, by the affiffance of thofe of Medina, to make head againft his enemies, titan he gave out, that God had allowed him and his followers to defend themfelves againft the infidels j and at length, as his forces increaf¬ ed, he pretended to have the divine leave even to at¬ tack them, and to deftroy idolatry, and fet up the true faith by the fword : finding, by experience, that his defigns would otherwife proceed very flowly, if they w'ere not utterly overthrown 5 and, knowing, on the other hand, that innovators, when they depend folely on their own ftrength, and can compel, feldom run any rifk ; from whence, fays Machiavel, it fol¬ lows, that all the armed prophets have fucceeded, and the unarmed ones have failed. Mofes, Cyrus, Thefeus, and Romulus, would not have been able to eftablifh the obfervance of their inftitutions for any length of time had they not been armed. The firft paffage of the Koran, which gave Mahomet the permiffion of defend¬ ing himfelf by arms, is faid to have been that in the 22d chapter ; after which a great number to the fame purpofe were revealed. That Mahomet had a right to take up arms for his own defence againft his unjuft perfecutors, may per¬ haps be allowed 5 but whether he ought afterwards to 3 E 2 have MAH [ 404 ] MAH Mahomet, have made ufe of that means for the eftablifhing of his *" 1 ”y religion, it is not fo eafy to determine. How far the fecular power may or ought to interpofe in affairs of this nature, mankind are not agreed. The method of converting by the fword gives no very favourable idea of the faith which is fo propagated, and is dilallowed by every body in thofe of another religion, though the fame perfons are willing to admit of it for the advance¬ ment of their own : fuppofing that, though a falfe re¬ ligion ought not to be eftablifhed by authority, yet a true one may : and accordingly force is almoft as con- ftantly employed in thefe cafes by thofe who have the power in their hands, as it is conftantly complained of by thofe who fuffer the violence. It is certainly one ef the mold convincing proofs that Mahometanifm was no other than a human invention, that it owed its pro- grefs and eftablifhment almoft entirely to the fword ; and it is one ot the ftrongeft demonftrations of the di¬ vine original of Chriftianity, that it prevailed againft all the force and powers of the world by the mere dint of its own truth, after having flood the affaults of all manner of perfecutions, as well as other oppofitions, for 300 years together, and at length made the Roman emperors themfelves fubmit thereto •, after which time, indeed, this proof feems to fail, Chriftianity being then eftablifhed, and Paganifm abolifhed, by public autho¬ rity, which has had great influence in the propagation of the one and deftruftion of the other ever fince. But to return. Mahomet, having provided for the fecurity of his companions as well as his own, by the league offenfive and defenfive which he had now concluded with thofe of Medina, directed them to repair thither, which they accordingly did ; but himfelf with Abu Beer and Ali ftaid behind, having not yet received the divine per- miffion, as he pretended, to leave Mecca. Ihe Koreifh fearing the confequence of this new alliance, began to think it abfolutely neceffary to prevent Mahomet’s efcape to Medina j and having held a council thereon, after feveral milder expedients had been rejefted, they came to a refolution that he fhould be killed j and agreed that a man fhould be chofen out of every tribe for the execution of this defign *, and that each man ihould have a blow at him with his fword, that the guilt of his blood might fall equally on all the tribes, to whofe united power the Halhemites were much in¬ ferior, and therefore durft not attempt to revenge their kinfman’s death. This confpiraey was fcaree formed, when, by feme means or other, it came to Mahomet’s knowledge ; and he gave out that it was revealed to him by the angel Gabriel, who had now ordered him to retire to Me¬ dina. Whereupon, to amufe his enemies, he directed Ali to lie down in his place, and wrap himfelf up in his green cloak, which he did ; and Mahomet efcaped miraculoufly, as they pretend, to Abu Beer’s houfe, unperceived by the confpirators, who had already af- fembled at the prophet’s door. They, in the mean time, looking through the crevice, and feeing Ali, whom they took to be Mahomet himfelf, afleep, con¬ tinued watching there till morning, when Ali arofe, and they found themfelves deceived. From Abu Beer’s houfe Mahomet and he went to a cave in Mount Thur, to the fouth-eaft of Mecca, accompanied only by Amer Ebn Foheirah, Abu Beer’s J fervant, and Abd’allah Ebn Oreitah, an idolater whom Mahomet they had hired for a guide. In this cave they lay ■ hid three days, to avoid the fearch of their enemies j which they* very narrowly efcaped, and not without the affifiance of more miracles than one : for fome fay that the Koreifh were ftruck with blindnefs, fo that they could not find the cave j others, that after Ma¬ homet and his companions were got in, two pigeons laid their eggs at the entrance, and a fpider covered the mouth of the cave with her web, which made them look no farther. Abu Beer, feeing the prophet in fuch imminent danger, became very forrowful j whereupon Mahomet comforted him with thefe words recorded in the Koran, Be not grieved, for God is with us. Their enemies being retired, they left the cave, and fet out for Medina, by a by-road •, and having fortunately, or, as the Mahometans tell us, miracu¬ loufly, efcaped fome who were fent to purfue them, arrived fafely at that city 5 whither Ali followed them in three days, after he had fettled fome affairs at Mecca. The firft thing Mahomet did after his arrival at Medina, was to build a temple for his religious wor- fhip, and a houfe for himfelf, which he did on a parcel of ground which had before ferved to put camels in, or, as others tell us, for a burying-ground, and be¬ longed to Sahal and Soheil the fons of Amru, who were orphans. This aftion Dr Prideaux exclaims againft, reprefenting it as a flagrant inftance of in- juftice j for that, fays he, he violently difpoffeffed thefe poor orphans, the fons of an inferior artificer (whom the author he quotes calls a carpenter), of this ground, and fo founded the firft fabric of his worfhip ' with the like wickednefs as he did his religion. But, to fay nothing of the improbability that Mahomet fhould aft in fo impolitic a manner at his firft coming, the Mahometan Avriters fet this affair in a quite differ¬ ent light : one tells us that he treated with the lads about the price of the ground, but they defired he Avould accept it as a prefent: however, as hiftorians of good credit affure us, he aftually bought it ; and the money was paid by Abu Beer. Befides, had Mahomet accepted it as a prefent, the orphans rvere in circumftances fufficient to have afforded it : for they were of a very good family, of the tribe of Naj- jer, one of the moft illuftrious among the Arabs j and not the fons of a carpenter, as Dr Prideaux’s author writes, who took the word Najjer, which fignifies “ a carpenter,” for an appellative, whereas it is a proper name. Mahomet, being fecurely fettled at Medina, and able not only to defend himfelf againft the infults of his enemies, but to attack them, began to fend out fmall parties to make reprifals on the Kortifh ; the firft party confifting of no more than nine men, who intercepted and plundered a caravan belonging to that tribe, and in the aftion took two prifoners. But what eflabliflied his affairs very much, and was the founda¬ tion on Avhich he built all his fucceeding greatnefs, was the gaining of the battle of Bedr, which was fought in the fecund year of the Hegira, and is fo fa¬ mous in the Mahometan hiftory. Some reckon no lefs than 27 expeditions wherein Mahomet was perfonally prefent, in nine of which he gave battle, befides feve¬ ral other expeditions in which he was not prefent. MAH f 4° I,hornet. His forces he maintained partly by the contributions -^v of his followers for this purpofe, which he called by the name of 'zacat or alms, and the paying of which he very artfully made one main article of his religion ; and partly by ordering a fifth part of the plunder to be brought into the public treafury for that purpofe, in which matter he likewife pretended to aft by the divine diretdion. In a few years, r/- rify the remaining part of one’s fubdance from pollu¬ tion, and the foul from the filth of avarice j ^.wA fadakat, becaufe they are a proof of a man’s fincerity in the worlhip of God. Some writers have called the legal alms tithes ; but improperly, fince in fome cafes they fall Ihort, and in others exceed that proportion. 3. Fafing is a duty of fo great moment, that Ma¬ homet ufed to fay it was the gate of religion, and that the odour of the mouth of him who fajleth is more grate¬ ful to GOB than that of mufk; and Al Ghazali reckons fading one-fourth part of the faith. According to the Mahometan divines, there are three degrees of fading: 1. The redraining the belly and other parts of the bo¬ dy from fatisfying their luds : 2. The redraining the ears, eyes, tongue, hands, feet, and other members, from fin y and, 3. The fading of the heart from world¬ ly cares, and redraining the thought from every thing befides God. 4 The Mahometans are obliged, by the exprefs com¬ mand of the Koran, to fad the whole month of Rama¬ dan from the time the new moon fird appears, till the appearance of the next new moon y during which time they mud abdain from eating, drinking, and women, from daybreak till night or funfet. And this injumdion they obferve fo dri