THE NEW COMPLETE DICTIO NARY ARTS AND SCIENCES; O R, AN UNIVERSAL SYSTEM OF USEFUL KNOWLEDGE. CONTAINING A full Explanation of every Art and Science, whether liberal or mechanical, irl which the Difficulties attending a thorough Knowledge of them are clearly pointed out, and luch Di¬ rections given as cannot fail of making their Acquifition eaiy and familiar to every Capacity. Exhibiting, among the various other Branches of Literature, a copious Elucidation of the following, viz. AGRICULTURE, ALGEBRA, ANATOMY, ARCHITECTURE, ARITHMETIC!?., ASTRONOMY, BOOK. KEEPING, BOTANY, CARVING, CATOPTRICKS, CHRONOLOGY, CHYMISTRY, COMMERCE, CONICKS, COSMOGRAPHY, DIALING, DIOPTRICKS, ETHICKS, FARRIERY, FLUXIONS, FORTIFICATION, GARDENING, GAUGING, GEOGRAPHY, GFOMETR Y, GRAMMAR, GUNNERY, HANDICRAFTS, HERALDRY, HISTORY, HORSEMANSHIP, HUSBANDRY, HYDRAULICKS, HYDROGRAPHY, HYDROSTATICKS, LAW, LEVELLING, LOGICK, MARITIME AND MILITARY AFFAIRS, MATHEMATICKS, MECHANICKS, MEDICINE, MERCHANDIZE, METAPHYSICKS, METEOROLOGY, MUSICK, NAVIGATION, UPTICKS, ORATORY, PAINTING, PERSPECTIVE, PHARMACY, PHILOLOGY, PHILOSOPHY, PHYS1CK, PNEUMATICKS, RHETORICK, SCULPTURE, SERIES AND ST ATICK5 STATUARY, SURGERY, SURVEYING, THEOLOGY, TRIGONOMETRY, &TC. The Whole upon an improved Plan, the Marrow and Effence of every other Di&ionary and Work of the Kind being preferved and the Superfluities and obfeurities entirely omitted. Particular Attention has been given to every Thing valuable in Chambers, The Encyclopedie, printed at Paris; The Ency¬ clopedia: Britankica, and other Publications of later Date. Including not only all the valuable modern Improvements which have been made by feveral eminent Members of the Royal Society, the Royal Academy, and the Society for the Encouragement of Arts, Manufactures and Commerce, but all'o a great Variety of other impoitant Difcoveries ; which have been made and communicated to the Authors of this Work, by fome of the moft diftinguilhed Characters of this and other Nations. Eminent Engravers and Defigners in the feveral Departments have been engaged at a very great Expence to unite their Abilities in oroducing the moft mafterly and fuperb Set of Copper-Plates, rep relenting upwards of One Thoufand exact figures, fuch as Machines, Inftruments, Implements, Tools, Plans, Schemes, Animals, Vegetables, Minerals, Foffils, and other Articles relative to the Subjects treated of in a Work of the utmoft Confequence to Mankind. The Theological, Philosophical, Critical, and Poetical Branches, By the Rev. ERASMUS MIDDLETON, Ledturer of St. BENNET’s, Grace-church-Street, and of St. HEL.EN’s, Bilhopfgate-Street; The Medicinal, Chymical, and Anatomical, By WILLIAM TURNBULL, M. D. Of Wellclose-Square, London; • The Gardening and Botanical, By THOMAS ELLIS, Gardener to the Lord Bilhop of Lincoln, and Author of The G a rdener’s Pocket Calendar; The Mathematical, &c. By JOHN DAVISON, Author of A Complete Course of Mathematicks ; And the other Parts by Gentlemen of approved Abilities in the refpe&ive Branches which they have engaged to illustrate. VOL. II. LONDON: Printed, tig UlltljOVitg, for the Authors ; And l’old by Alex*. Hogg, at No. 16, Pater-nofler-Row. ' .... -a. ' THE NEW COMPLETE DICTIONARY O F ARTS AND SCIENCES, J a c I Is the third vowel and ninth letter of the Englifh alphabet: it is all'o a confonant, and- accordingly ^ has two forms. When a confonant, it is length¬ ened downwards, thus J, and pronounced not much unlike the foft G before e, as in gefture. The letter I was derived from the old Hebrew Jod, and is founded by throwing the breath fuddenly againft the palate with a fmall hollowing of the tongue, and the fame opening of the lips and teeth nearly as in pro¬ nouncing A and E. The Greeks had no J confonant, and therefore made! life of the I vowel inftead of it, as IHZOTS. The Englifh and French have two kinds of J confonant; the firft has a fnuffling kind of found, and ferves to modify that of the following vowels, as in Jew, jolly, See. The latter is pronounced like the Hebrew Jod, which is founded as the confonant y, as we find it Fill among the Germans, See. Of this we have fome in- ftances in words which are indifferently written with a y or i before a vowel, as voiage, voyage , he. The pronunciation of the I vowel is obferved to be much the fame in all nations in Europe in the Latin word inirnici. To denote the quantity of this vowel, though it was not marked to fliew that it was long, yet it was made bigger than the reft, as /Edllis, Plfo, he. This i long was pronounced like ei, as divei for divi, he. Lipfius fays that i was double, when it was to be founded long, as dii , diis, he. The ancients fometimes changed i intoz/, as decumtis for decimus, maxtonus for maximus, he. According to Plato, the vowel i is proper to exprefs delicate but hum¬ ble things, as in this verfe in Virgil, which abounds in ;’s, and is generally admired. Accipiunl inimicum imbrem , rimifque fiatificunt. J, in abbreviations and cyphers, Hands for Jefus. I, was ufed by the ancients as a numeral, denoting 100, according to this ver,fe. I. c. Comp nr erlt , et centum fignificablt. The Greek lota, and the Hebrew Jod, Hand but for ten. JACK, in mechanicks, a portable machine for raif- ing great weights. In order to explain the operation of this machine, we have given perfpeftive views of its feveral parts on plate XLIV. fig. 6, 7, 8, 9, where fig. 6 is the whole ma¬ chine; fig. 7, fhews the rack, and the pinion which carries it ; fig. 8, dilplays the whole machinery ; and fig. 9. the rack, feparately. The fame letters refer to the fame parts in all the four figures. A, is a ftrong cafe of wood, firmly bound with iron. B, the open part of the cafe in which the rack moves. C, the bottom claw of the jack, intended for railing weights very near the ground. D, the rack, feparated J A C frbm the other parts of the machinery. E, the upper claw, or fork, of the jack. F, a pinion of four leaves, that moves the rack D. G, the winch or crank of the handle. H, a hook to prevent the weight, when raifed to a fufficieht height, from falling down again, by put¬ ting the curved part of the hook round the handle. I, a large wheel, with 16 teeth. K, a pinion of four leaves, that moves the large wheel I. The power of this machine is very cafily calculated in the following manner : Suppofc the winch or crank G, to be four times as long as the radius of the pinion K, then will the power of the machine in this part be as 4 to 1. But the pinion K has only four leaves, and the wheel I 16 teeth; therefore the power of the machine in this part is alfo as 4 to 1. Confequcntly 4x4=16, is the power of both thele parts conjointly. And as the wheel I has 16 teeth, and the pinion T, that moves the rack, only four leaves, the power of the machine in this partis alfo as 4 to 1. Confequently the whole power of the ma¬ chine is as 64 to 1 : for 4 x 4 x 4=64. If therefore we luppofe a man can work at the handle with a force of 30 pounds, he will be able to raife a weight of 1920 pounds, fuppoling the machine to have no fri&ion. Kitchen Jack, a compound engine, where the weight is the power applied to overcome the fridtion of the parts, and the weight with which the fpit is charged ; and a fteady and uniform motion is obtained by means of the fly. Jack, in a fhip, the flag which is hoifted up at the fprit-fail top-maft-head, or a flag-ftaff eredted on the bow-fprit. J a c k , in falconry, denotes the male of birds of game. JACK ALL, in zoology, an animal of the dog kind, with a flender fnout. It is a very beautiful creature, and fo like a dog, as to be miftaken at firft fight for fome mungrel breed of that animal. Its fize is that of a fmall hound ; and, in the eaft, where it is a native, there are vaft packs of them, often more than 200 in a company, which hunt animals they would never dare to attack Angle. It is not impoflible that lions and other hearts of prey may be alarmed by the cries of thefe animals in their chace, and fall in and rob them of their prey ; but the general opinion of their atten¬ dance on the lion is fabulous. JACOBY 6 'taff, a mathematical inftrument for tak¬ ing heights and diftances ; the fame with crofs-ftaff. JACOBI I LS, an opprobrious name given to fuch of the Britilh lub lefts as difallow the late revolution in 1688 by king William III. and efpoufe the right and interefts of the abdicated king James II. and his line. J ACOBUS, a gold coin, fo called from king James I. of England, in whole reign it was ftruck. Of this coin there are two kinds, the old and new ; the former is valued at 25s. and weighs fix penny-weights ten grains ; the JAP the l&tter, alfo called Carolus, valued at 23s. and weighs five penny-weights twenty grains. JALAP, Jalapium, 'Jalapa , in medicine, a firm and folid root, of a wrinkled furface, and of a clofe internal texture; of a blackilh colour on the outlide, and of a duiky brown within : it is fometimes of a roundilh or oval, but more ufually of an oblong figure, and confi- derably thick ; but vve feldom fee it whole, our druggifts commonly receiving it in flices, which are heavy, and hard to break ; of a faintilh fmell, and of an acrid and naufeous fade. The bed jalap is that which is moil compadl and firm, and of the deeped biown colour within, and the mod difagreeable to the tafle. Jalap was wholly unknown to the ancients ; the Eu¬ ropeans had no knowledge of it till after the dil'covery of America. It had its name jalapium, or, as others write it, jalapa, from Xalapa, the name of a town in New Spain, in the neighbourhood of which it was dif- covered ; though it is now principally brought to us from the Madeiras. With us it is of very frequent ufe in extemporaneous preferiptions, given in the form of bolufes and draughts. Its dole is from _o to 30 or 35 grains; when larger quantities are found neceHary, it is owing to the ava¬ rice of the druggift or apothecary, who powder not the felcft pieces, but fuch as are decayed and have loll their virtue. Its common correctives are ginger and cream of tartar; but nature has prepared it lb well to our hands, that it indeed needs no addition. The bell method of giving it is in a draught made with white wine, and prepared at leaf! 12 hours before the time it is to be taken ; in which cafe the wine has time to open the body of the medicine, and prepare it for aCting with the greater eafe. It is an excellent purgative in dropfical and all other calcs where lerous humours are to be evacuated. The only caution neceflary in the ufe of it is, that it fhould not be given in any acute fevers, nor to perfons of dry hot condi tutions; for in thefe cafes it is liable to the fame mifehiefs as other acrid pur¬ gatives, and will fometimes bring on heat and inflam¬ mations in the vilcera. JAMAICA Pepper. See the article Pimenta. JAMB, or Jaumb, among carpenters, is a name given to door-polls, and all’o to the upright polls at the lidcs of window-frames ; among bricklayers, it implies the upright lides of chimnics, from the hearth to the mantle-tree. IAMBiCK Verses, are verfes in Greek and Latin poetry ; fo called, from their confiding principally of iambick feet. IAMBUS, in ancient poetry, a Ample foot, confid¬ ing of a fliort and long fyliable. Epijile of St. JAMES, a canonical book of the New Tedament, being the fird of the catholick or general cpidles ; which are fo called, as not being written to one, but to ieveral Chridian churches. JANIZARIES, an order of the Turkifh infantry, reputed the grand fignor’s guards, and the main ftrength of the Ottoman army. JANSEN 1 STS, in church hidory, a fe£l of the Roman catholicks in France, who follow the opinions of Janfenius, bithop of Ypres, and do£lor of divinity of the univerfities of Louvain and Douay, in relation to grace and prededination. JANUARY, the fird month in the year, according to the prefent computation. It was introduced by N uma into the calendar, and placed at the winter foldice, where March was before, which Romulus had placed at the vernal equinox. The word is derived from Janus, to whom the Romans, on the fird of this month, offered folemn iacrifices. JAPANNING, the art of varnidiing and drawing .figures on wood, in the fame manner as it is done by the natives of Japan in the E. Indies. The method of performing this is as follows :—The wood being clofe grained and fmooth, keep it in fome warm place ; then'take of the thicked feed-lack varnilh fix ounces, and lamp-black enough to colour it; with this mixture wadi over your piece three times, letting it dry thoroughly each time, and again walh it over 2 J A U three times more, as befoie : then take of the thickcd feed-lack varnilh fix ounces, Venice turpentine one ounce, and wafh your work over with this fix times, letting it Hand 12 hours between the three fird var- nifhes, and as many hours between the tnree lad. Lad of all, take of the fined feed-lack varnilh fix ounces, and of lamp-black a luificient quantity, which mix to¬ gether,.and witht.it varnilh your work 12 times, hand¬ ing 12 hours between the fird fix and the lad fix wafh- ings. When it Has dood to dry fix of feven days, polifli it well with tripoli and rag, till it be fmooth ; and then clear it up with oil and lamp-black ; and you will have a-good black japan, icarcc at all inferior to the true. As to the colour ufed in japanning, a common red is made of the thicked feed-lack varnilh and pure vermi¬ lion ; a dark red, with fine languis draconis, a pale red,- iwith vermilion and white lead ; blue, with the fined finalt; and in like manner may be done with gold'co¬ lours, or any others you pleafe. J AR, a Hebrew month, anfwering to April and part of May with us. JASMINUM, the jafmine, or jafminc-tree, in bo¬ tany, agenusof plants, the leaves of which are in many lpecies pinnated ; the cup ot the flower confifls of one leaf, but is divided at the top into five fegments ; the flower confids of one leal, ts funn, 1-fhapcd,. and divided into five fegments : the flowers are lucceeded by berries, which fplit m the middle, each fide, for the'mod part, containing a feparate feed. The common white jafmine is eafily propagated by laying dow n the tender branches in the ipring, which, by the iucceeding Ipring, will be rooted drdngenough to be tranlplanted. They may alfo be raifed by cuttings, which Ihould be planted in autumn in a mold border, where they may have the morning fun : but they mud be fereened from the violence of the fun. in the heat of the day, and frequently watered in dry weather. The cuttings, thus managed, will many of them live, and have roots fit to be removed in the following fpring‘; but this method is feldom praflifed, the layers always making the bed plants. The two driped forts fhould be planted in a warm fituation, efpecially the white driped ; for they are much more tender than the plain, and arc very lubjedl to be dedroyed by great frods, if they are expoled thereto : it will therefore be proper to preferve a plant of each kind in pots, which may be removed into the green-houlc in winter, led, by expofing them to the cold, they fhould be dedroyed, and the vaiicty lod. JASPER, in natural hidory, a genus of ferupi, of a complex irregular flrudlure, of a great variety of odours, and emulating the appearance ot the finer marbles', or femipellucid gems. The great chara&eridick of jafpers is, that they ail readily iuike fire with deel, and make not thedeafl eftcrvc.cence with aqua-fortis. Jafpers, though common! .’ reckoned among the precious lloncs, ought undoubtedly to be ranged among the ferupi; being only opake crydalline mades, varioullv debated with an earthy admixture: and to this lad ingredient it is that they ovve all their variety of colours, as white, green, red, brown, and bluilh. The feveral kinds of nephritick done, and the lapis divinus or jade, are all genuine jafpers; but the hard, bright, green jafper, of the E. Indies, feems to be the true medicinal kind. It is found in mafles of various fizes and fhapes, but the more ulual dandard as to fize, is between four and fix inches in diameter; but there are mafles of it found of a foot or more in diameter, and others no larger than a horfe-bean. It is generally Ample and unmixed , but if it be variegated at all, it is always with white, and this is dilpofed not in ffreaks or veins, but in clouds. It is capable of a very fine pol Jh, and when the white cloud* are well difpofed, is very beauti¬ ful, and in pieces not too thick, is- tolerably pellucid, when held up againff the light. JAVELIN, ~H«fia, in antiquity, a fort of fpear, five feet and a half long; the fhaft of which was wood, with a fleel point. Every foldier in. the Roman armies had feven, of thefe; which were very light and flenuer. JAUNDICE, in medicine, a difeale which is prin¬ cipally JAW cipally difcovered by the yellow tin&ure of the fkin, but molt diftinttly in the coats of the eyes, where it gives the firft notice of its invafion. The fymptoms, according to Syddenham, are hea- vinefs, ina&ivity, Iaffitude of the whole body, anxiety,; uneafinefs about the hypochondria, ficknefs at the fto- mach, oppreffion in the breaft, difficult refpiration, a dry.and harffi Ikin, coftivenefs, hard white excrements, yellow high coloured urine, which will tinfture linen or paper with a faffron hue: there is a bitter tafte in the mouth, and all objetts feem to be difcoloured. The immediate caufe of a jaundice, fays Towne, is an obftru&ed excretion of the bile from the vefica fellis and liver into the duodenum, which being forced back upon the liver, mixes with the blood, by which it is carried into the whole body, whence the fkin and urine will be tindlured with the colour of the bile. See Bile and Liver. This obftru&ion may be occafioned by any thing in the du£t that plugs up the paffage, or by external pref- fure which clofes its mouth ; or by fpafm, contracting the fibres thereof. Hence we may fee why the jaundice fucceeds the flatulent colick, why pregnant women are fubjedt to it, and why fpafms of hypochondrical and hysterical perfons produce the fame effedt. Sudden frights, the generation of too great plenty of bile, fchir- rous tumours, or ulcers of the liver, obftrudtions of the menles, obitinate intermitting fevers, and the bites of venomous animals, will alfo produce this difeafe. Hoffman thinks emeticks highly proper in the cure of a jaundice, if the difeafe does not proceed from violent anger, fpafms of the llomach, a cardialgia, a fpafmodick colick, ora {tone lodged in the cyftick dudt, exciting a violent uneafinefs about the prtecordia ; and that when a bilous fordes lodging in the duodenum, and clofingup the orifice of the dudtus choledochus, intercepts the paf- fage of the bile, or when a tenacious, moveable, and not highly concreted bilious matter, plugs up the he- patick dudts, emeticks are of lingular efficacy in eva¬ cuating it. A lcruple of ipecacuanha, with a grain of tartar emetick. will be a proper dofe; or two grains of tartar emetick in a draught of generous wine, or in an infufion of manna, drinking water gruel after it. In this cafe, Huxharn, after emeticks. thinks cathar- ticks will be proper, compounded of aloeticks and mer¬ curials. Then faponaceous attenuants, preparations of tartar, and volatiles, and lafb of all, chalybeats; but the laft are not to be given till the humours are fuffi- ciently attenuated, otherwife an incurable fchirrus of the liver may enfue. He alfo recommends the terra foliata, otherwife called tartarum regeneratum, and, by the college, fal diureticus, as the greateft diffolvent, and the moft powerful remedy in this difeafe. Its dofe is from five grains to a fcruple, and upwards. Saponaceous medicines are often given with the fame intention in this difeafe with fuccefs, thus : takeCaflile foap, three ounces; powder of the rliapontick plant, and fpecies of hiera picra, of each half an ounce ; as much of the firup of orange-peel as is fufficient to make an eleftuary, of which the patient is to take from half a dram to a whole dram twice a-day. After fome time, with the above precaution, may be added half an ounce of fleel-filings : or take gum ammoniack, two drams ; powder of fquills, one dram; Caflile foap, three drams; and a fufficient quantity of white fugar: make ten pills out of every dram, three of which are to be taken every morning, and as many at night going to bed. Thel'e are attenuants which fliould be preceded with gentle purgatives; for Hoffman affirms, that all draftick purgatives are prejudicial, as they increafe fpafms, throw the blood into violent commotions, and impair the ftrength : therefore, befides thefe which Huxharn has directed above, the following formula may be fometimes proper. Take of good rhapontick powder half a dram ; cream of tartar, one dram; Ample cinnamon-water, three ounces, and firup of rofes two drams, for a draught. JAW, Maxilla, in anatomy, a bone of the face; there are two maxilire, namely, the upper and the lower. In the fuperior maxilla or upper jaw are eleven bones, joined to each other per harmoniam, namely, two offa Vol. II. No. 40. I C H maxillaria or great bones of the upper jaw, fituated one on each fide in the anterior and middle parts of the face; the two offa malarum, or offa zygomatica and malaria, fituated in the lateral and middle parts of the face; the ofla nafi, which are two in number, joined together and fituated below the forehead ; the offa unguis or la- chrymalia, which are two in number, each being fitu¬ ated in the orbit, at the lower part of the internal angle; the offa palati, which are two, fituated in the pofterior part of the arch of the palate ; and, laftly, the vomer, fituated perpendicularly between the two nafal foffie backward. The lower jaw, which in children confifts of two, connetted by a cartilage in the middle of the chin, be¬ comes one bone in adults, and makes the lower part of the face, fomewhat refembhng a bow with the ends bent upward. The upper jaw is immoveable in man and all other animals, except a parrot, crocodile, and acus vulgaris, orgar-filh; it has generally lixteen fockets or alveoli for the like number of teeth. The lower jaw confifls of two tables very folid, but not equally thick in all parts. It has a larger lhare of diploe than any other bone of the face, efpecially near the alveolary arch. The upper edge of the body of the lower jaw is pierced into fixteen foffula? or fockets that contain the like number of teeth. IBEX, in zoology, an animal of the goat kind, with extremely long nodofe horns, which bend backwards, and are of a blackifh colour, and annulated on the fur- face. The body is of a dark dufky colour, and is lefs in proportion to the height than that of the common goat: it has a great refemblance to the deer-kind ; the legs are alfo perfe&ly, like thole of the deer, ftraight, elegant, and flender. Jt is frequent in many parts of Europe, and, notwithflanding its vaft horns, runs and leaps with lurprifing force and agility. IBIS, a bird which was very uleful to the Egyptians for deftroying ferpents, locufts, and caterpillars ; and, on that account, had divine honours paid it. It is all over black, and about the fize of the curlew, with the head of a cormorant, and the long neck of a heron. ICE, Glacies, in phyfiology, a folid, tranfparent, and brittle body, formed of fome fluid, particularly water, by means of cold. See Cold, Frost, and Freezing. Ice-House, a building contrived to preferve ice for the ufe of a family in the fummer feafon. Ice-houles are more generally ufed in warm countries than with us, particularly in Italy, where the meaneft perfon, who rents a houfe, has his vault or cellar for ice. ICH DIEN,the motto of the prince of Wales’s arms, fignifying, in the High Dutch, Iferve. ICHNEUMON, in zoology, the name of an ani¬ mal, of which there have been a multitude of idle and fabulous things afferted. It is a creature of the weafei kind, with a longer and narrower body than a cat, and fomewhat approaching both in ffiape and colour to the- badger. Ichneumon is alfo the name of a genus of flies, of the hymenoptera order, with a triple fting at the anus. ICHNOGRAPHY, in perfpe&ive, the view of any thing cut off by a plane parallel to the horizon, juft at the bafe of it. Among painters it fignifies a defeription of images, or of ancient ftatues of marble and copper, of bufts and femi-bufts, of paintings in frefco, Mofaic works, and ancient pieces of miniature. Ichnography, in architedture, a defeription or draught of the platform or ground-work of a houfe, or other building. Or it is the geometrical plan or plat¬ form of an edifice or houfe, or the ground-work of an houfe or building, delineated upon paper, deferibing the form of the feveral apartments, rooms, windows, chimnies, &c. Ichnography, in fortification, denotes the plan or reprefentation of the length and breadth of a fortrefs, the diftindl parts of which are marked out, either on the ground itfelf, or on paper. ICHOGLANS, the grand fignior’s pages, ferving in the feraglio. B ICHOR I D E ICHOR properly fignifies a thin watery humour, like ferum; but is fometimes alfo ufed for a thicker kind, flowing from ulcers, called likewife fanies. ICHTHY OCOLL A, vulgarly called iiinglafs, afolid glutinous lubftance, prepared from a fifh of the ftur- geon kind caught in the rivers of RuiTia and Hungary. ICH 1 HYOLOGY, ix,Qooxoyta, the fcience of fllhes, or that branch of zoology which treats of fllhes. See Fish. ICHTHYOLOCIST, an author who has written profefledly of Allies. ICHTHYS, i x, 9 us, in antiquity, a celebrated acrollick of the Erythraean fibyl: theflrft words of each verfe of which make up Wa Kpir&Qsx aztlvp, that is, Jefus Ckrjlus Dei filius fcrvator ; and the initial Greek letters form the word r/Jiv;, whence the name. ICONOCLASTS, tixovoxharot, in church hiftory, an appellation given to tliofe perfons, who, in the eighth century, oppofed image-worfliip, and is Hill given by the church of Rome to all Chriftians who rejed the life of images in religious matters. See Image. ICOSAHEDRON, a regular folid, terminated bv 20 equilateral and equal triangles. It may be confldered as confilling of 20 triangular pyramids, whofe vertices Imeet in the centre of a fphere that circumfcribcs them, and therefore have their heights and bnfes equal; wherefore the folidity of one of thefe pyramids multi¬ plied by 20, the number of bafes, gives the folid con¬ tent of the icofahedron. ICOSANDRIA, the name of‘the 12th clafs in the Linntean fyftem of botany, comprehending tliofe plants whofe flowers are hermaphrodite. The calyx mono- phyllous and concave, with the corolla fattened by its claws to the inner fide of the cup ; and containing 20 or more ftamina affixed to the cup. The principle charaderiftick of this clafs is rather to be taken from the manner of infertion ; for though the number of flamina arc rarely lefs than 20, yet in fome fpecies they fre¬ quently exceed it. To this clafs belong the torch - thittle, almond, plumb, pear, ftrawberry, myrtle, with feveral other genera. ICTERICK Disease, the fame with the jaundice. See Jaundice. IDEA, the reprefentation or relemblance of fome- thing, even though not feen, as conceived by the mind. The word is Greek, fignifying the fame thing, and derived from £iJio, to fee. As to the origin of ideas, the Peripateticks maintain that external objeds emit fpecies entirely refembling them, and that thefe fpecies ftriking on our fenfes are by them tranfmitted to the underftanding ; that being- mater ial, they arc rendered intelligible by the adiye intelled, and are at length received by the paffive. Others think that our fouls have of themlelves the power of producing ideas of things we would think upon, and that they are excited to this by the impref- fions which objeds make on our fenfes, though thefe impreffions are not images of any thing refembling the objeds that occafioned them. Others maintain that the mind, by confidering itfelf and its own perfedions, can difeover all things that arc without. Others, with Des Cartes, hold that our ideas are innate or born along with us. Malebranche and his followers maintain that God has in himfelf the ideas of all the beings he has created, and thus he fees all things in confidering his own per¬ fedions to which they correlpond; and that, as he is intimately united to our fouls by his prefence, our minds perceive things in him which reprefent created beings; and that thus we come by all our ideas : and yet, fays he, though we fee all fenfible things in God, we have not our fenfations in him : for in our percep¬ tion of any fenfible objed is included both a fenfation and a pure idea. The fenfation is a modification of the foul, and it is God who caules it in us; but the idea joined with the fenfation is in God, and it is in him we lee it. The Cartefians diftinguilh three kinds of ideas ; the firfi innate; fuch as we have of God, as a being infi- 1 nitely perfed : fecondly, adventitious, which the mind receives in proportion as objeds prefent themlelves to < 2 I D E our fenfes; thirdly, faditious, tliofe which the -mind forms by aflembling and combining the ideas it already had, and thefe arc called compLx. But Mr. Locke has made it appear that all our ideas are owing to our fenfes, and the refledion of our minds upon tliofe ideas which the fenfes have at firft furnilhcd us with; and that the diftindion of the Cartefians is mere chimera. So that a perfon dettitute of one fenfc would have no idea belonging to that fenfc ; and if dettitute of all the fenfes, he would have no idea at all, not even of reflec¬ tion, as wanting all fenfation that lhould excite in him the operations of his mind, which are the objeds of liis refledion. Thus far the mind is altogether’paifivc. Ideas only feem to be innate, becaufe wc find wc have them, as foon as wc come to the ufe of reafon, being in effed what wc formed from the ideas wherewith the mind was infallibly filled bv the fenfes. Ideas are divided into Ample and complex. Simple Ideas comprize all tliofe which come into the mind by fenfation; fome of which we acquire purely by means of one fenl'e ; others by feveral fenles : there are other Ample ideas formed in the mind both by fenfation and refledion jointly. Of fome of thcle kinds of ideas all our knowledge confitts. We lhould dittinguifh between Ample idea?, as tln-y are perceptions in the mind, and as they arc modifica¬ tions ot tiie bodies that caul’c fuch perceptions, that we may not think they arc exadly the images of fomething inherent in the objed; for 1110ft of thole of fenfation. are in the mind no mote the likenefs ofanv thing exitt- ing without us, than the names that ttand’for them arc the likenefs of the ideas. But here the qualities of the bodies which produce tlicfc ideas in us are to be dittinguilhed into primary and fecondary: the former are fuch as are utterly infepa- rable from the body, in whatever Hate it be, and fuch as our lenles confiantly find in every particle of matter, as folidity, extenfion, Nc. Secondary qualities are fuch as are only powers in the objeds to produce various fenfations in us by means of their primary ones, as the figure, bulk, Ac. of their particles, as colour, tafte, Ac. Now the ideas of primary qualities are in fome Jenfe refemblances of them ; but tliofe produced in us by tlic fecondary qualities have no refemblance of them at all, being only a power to produce tliofe fenfations in us. The mind has feveral faculties of managing thefe Am¬ ple ideas, as 1. That of diftinguilliing rightly between one and another, wherein confitts the accuracy of judg¬ ment. 2. That of comparing them one with another, as to extent, time, place, or any other cnciunttance* of relation. 3. That of putting together the Ample ideas of fenfation and refledion, in order to form com¬ plex ones. 4. Children, having got fome ideas, by degrees learn the ufe of iigns : hence the ufe of words being to {land as outward marks of our internal ideas, if every particular idea that wc take in lhould have a particular name affixed to it, names would grow end- lels. To prevent this, the mind ha faculty, whereby it can make the particular ideas received from fuch objeds become general; which is done by conii- dering them as they are appearances in the mind Separate from all other exittences, and circumftances of exitt- ence, Ac. and this is called abftradion. Thus the fame colour being oblerved to day in chalk, which we obferved yetterday in paper, we, confidering that ap¬ pearance alone, make it a reprefentation of all the fame kind, and call it whitenefs. From thefe four powers all our complex ideas are formed : and as before the underftanding was paffive, lo here it is adive. Complex Ideas may be reduced to thefe three heads, namely, modes, fubftances, and relations: modes are fuch complex ideas as are not fuppofed to exift by them- felves, but are confldered as dependencies on fubftances, as triangle, gratitude, Ac. Of thefe there are two kinds, 1. Such as are only variations of the fame Ample idea, as ten, a fcore, Ac. 2. Such as arc compounded of Ample ideas of feveral ibrts put together, to make a complex one, as beauty, theft, Ac. Subftances have their ideas from fuch combinations of Ample ideas as reprefent diftind things fubflfting by them- I D E thcmfelves; in which the idea of fubftance, confufed as it is, is always the firft. Relations are complex ideas arifing from the comparifon of one-idea with another. Of thefe fome only depend on the equality or excefs of the fame fimple idea in feveral fubje&s, and thefe may be called proportional relations, fuch as equal, more, &c. Another occafion of comparing things is owing to the circumftances of their original, which, not being afterwards to be altered, make the relations depending thereon as lafting as the fubjefts to which they belong ; as father, mother, &c. as alfo in the relations by inili- tution, as prince and people, &c. and as to moral re¬ lations, they are the conformity or difeonformity of men’s free actions to laws and rules, whether human or divine. Ideas may alfo be divided into clear or diftintt, and obfeure or confufed. Simple ideas are clear, when they continue fuch as the objedls reprefent them ; when our organs of fenfa- tion are in a good tone, our memories retain them, and can prefent them to the mind whenever it has occafion to confider them; and when the mind alfo fees that thofe fimplc ideas are feverally different one from an' other. The contrary to which is, what we call ob- feurity and confufion of ideas. Again, ideas, with regard to their objefts, are diftin- guifhed into real or fantaftical, true or falfe, adequate or inadequate. Real Ideas are fuch as have a foundation in nature, being conformable to that being to which they are re¬ ferred as their archetypes. Fantajlical Ideas, fuch as have no foundation in •tiature. True and falfe Ideas. —When the mind refers its Ideas to any thing extraneous to it, in fuch a reference the mind makes a tacit fuppofition of their conformity to that thing; which fuppofition, as it is true or falfe. fo the ideas themfclves come to be denominated. Real ideas are divided into adequate and inadequate ; ade¬ quate ideas are thofe which perfectly reprefent thofe archetypes which the mind fuppofes them taken from, end which it makes them hand for; inadequate are fuch as do but partially reprefent thofe archetypes. IDENTITATE nominis, in law, a writ that lies where a perfon is imprifoned inftead of another of the fame name, commanding the fheriff to enquire whether the prifoner be the perfon, againft whom the attion was brought, or not; and if not, to difeharge him. IDENTITY, sameness, denotes that by which a thing is itfelf, and not any thing elfe ; in which fenfc, identity differs from fimilitude as well as diverfity. The idea of identity we owe to that power which the mind has of comparing the very being and exiftence of things, whereby confidering any thing as exifting at any certain time and place, and comparing it with itfelf as exifting fit any other time and place, we accordingly pronounce it the fame, or different. Thus when we fee a man at any time and place, and compare him with himfelf when we lee him again at any other time or place, we pronounce him to be the fame w r e faw before. To underftand identity aright, we ought to confider the efTen.ce and exiftence, and the ideas thefe words ftand for ; it being one thing to be the fame fubftancc ; another, the fame man ; and a third, the fame perfon. For, fuppofe an atom exifting at a determined time and place, it is the fame with itfelf, and will continue fo to be at any other inftant as long as its exiftence continues ; and the fame may be faid of two or any number of atoms,.wliilft they continue together; the mafs will be the fame; but if one atom be taken away, it is not the fame mafs. In animated beings it is otherwife, for the identity does not depend on the cohcfion of its confti- tuent particles, any how united in one mafs; but on fuch a difpofition and organization of parts, as is fit to receive and diftribute life and nourifhmcnt to the whole frame. Man therefore, who hath fuch an organization of parts partaking of one common life, continues to be the fame man, though that life be communicated to new Succeeding particles of matter vitalv united to the fame- organized body ; and in this confifts the identity ot igan, confideved .as an animal only. But perfonal I D I identity, or the famenefs of an intelligent being, con¬ fifts in a continued confcioufnels of its being a thinking being, endowed with reafon and reflection, capable of pain or plealure, happinels or mifery, that confiders itfelf the lame thing in different times and places. By this confcioufnels every one is to himfelf, what he calls [elf without confidering, whether that felf be continued in the fame or divers fubftances; and fo far as thiscon- feioufnefs extends backward to any paft aCtion, or thought, fo far extends the identity of that perfon, and makes it the objeCt of reward and punifhment. Hence it follows, that if the confcioufnels went with the hand, or any other limb when fevered from the body, it would be the fame felf that was juft before concerned for the whole. And if it were polfible for the fame man to have a diftindl incommunicable confcioufnels at diffe¬ rent times, he would without doubt at different times make different perfons. IDES, Idus, in the Roman calendar; eight days in each monrii are fo denominated, commencing in the months of March, May, July, and October, on the fifteenth day, and in the other months on the thir¬ teenth, and reckoned backward, fo as in the four months above fpecified to terminate on the eighth day, and in the reft on the fixth. The ides came between the calends and nones. The 14th day of March, May, July, and OCtober, and the 12th day of the other 8 months, was pridie idus, or the eve of the ides; the 13 in the 4 months, and the 11 th in the other eight, was called 3 idus or the third of the ides of fuch months : and fo on to the 8th and 6th days, which made the 8th of the ides, 8 idus. This method of reckoning is ftill retained in the Ro¬ man chancery and calendar of the breviary. The ides of May were confecrated to Mercury; thofe of March were ever efteemed unhappy after Ctefar’s murder on that day : the time after the ides of J unc was reckoned fortunate for thofe who entered into matri¬ mony ; the ides of Auguft were confecrated to Diana, and obferved as a fealt-day by the Haves. On the ides of September auguries were taken for appointing the magillrates, who formerly entered upon their office in, the ides ofJVIay, afterwards on thofe of March. IDIOM, IcJloma, either the peculiarities of a lan¬ guage, or die particular dialed of fome province, dif¬ fering in fome refpeCts from the language of the nation in general from which it is derived. IDIOPATHY, in phyfick, denotes a primary and proper affeCtion of any part: thus the head is affeCted idiopathically, in a lethargy ; and the lungs in a pleurify : but when thefe parts fuffer by confent, that is, by dif- orders refiding in other parts, they are then faid to luffer by lympathv. IDIOSYNCRASY, in phyfick, denotes a peculiarity of conftitution, by which one body differs from an¬ other, both with refpeCt to the folids and fluids, though each may be in a found condition: in confequence whereof, whether in health or ficknefs, it has a more than ordinary averfion or inclination to certain things, and is more affeCted with them than others ufuallyare. The diforders arifing from this peculiarity are fome- times accounted incurable, bccaufe they are thought to be prefent from the very firft formation of the body. Sydenham, treating of hefterick diforders, remarks, that fome women, by reafon of a certain idiofyncrafy, have fo great an averfion to hvfterick medicines, which are lo generally ferviceable in this difeafe, that, inftead of being relieved, they are injured thereby. In fuch, therefore, they are to be wholly omitted: for as Hip¬ pocrates obferves, it is fruitlcfs to oppofe the tendency of nature. IDIOT, in the Engliffi laws, denotes a natural or fool from his birth. A perfon who has underftanding enough to meafure a yard of cloth, number 20 rightly, and tell the day3 of the week, &c. is not an idiot in the eye of the law. In other countries repeating the Lord’s prayer faves a man from being reckoned an idiot. Idiot, /dicta, alfo denotes, among ancient writers, a perfon ignorant or unlearned, anfwcring to illiteia- tus, iniperitus. IDF* JET TDIOTISM, in grammar, a manner of fpeaking peculiar to a language, which cannot be rendered word for word into any other. IDOL, a ftatue or reprefentation of fome falfe god, to whom divine honours are paid, by erecting temples, offering facrifices and prayers thereto. IDOLATRY, the adoration paid to idols and falfe gods, which is due to God alone. We have no poft- tive and hiftorical proof of the origin of idolatry. It is very probable that idolatry was introduced by degrees, and that they who made the firft ftep towards this im¬ piety, did not carry it to the point at which it after¬ wards arrived We mull not believe that idolatry came all from the fame country; every nation fet up its particular gods, and a religion after its own mode, whence proceeded the monftrous diverfity of opinions and worfhip, which is to be met with in Paganifm. At prefent idolatry fiourifhes moft in China, &c. IDYLLlON, in poetry, a fmall poem containing the description of fome agreeable adventure. It paints the objef ' it deicribes, as epick poetry narrates, and dramatick a£ls them. The idyllions of Theocritus with a ruflick kind of Simplicity are full of the moftexquilite beauties; they feem drawn from nature herfelf, and to have been dictated by the graces. The modern writers of idyllions do not keep up to that original Simplicity which is obfervable in 1 heocritus. Boileau obferves that the Ihorteft idyllions are commonly the beft. JECTIGATION, ‘JeStigatio , in phyfick, a palpi¬ tation, or convulsive motion of the whole body, one fide, or only of the heart and pulfe of a fick perfon, which Shews that the brain, which is the origin of the nerves, is attacked, and threatened with convulsions. JECUR, the liver, in anatomy. See Liver. JEHOVAH, one of die feripture names of God, Signifying the Being who is felf-exiilent, and gives ex¬ istence to others. “ The Jews have had many fuperftitious opinions re¬ lative to this name ; which, becaufe they were for¬ bidden to mention in vain , they would not mention at all. They Substituted Adouai, &c. in its room, when¬ ever it occurred to them in reading or fpeaking; or elfe, Simply and emphatically Styled it EDITH the name. Some of them attributed to a certain repetition of this name the virtue of a charm, and have had the boldnefs to aSTert, that our bleffed Saviour wrought all his mi¬ racles (for they do not deny them to be Such) by that myltical ufe of this venerable word.” S zzHorce Solitaries. A book that needs only to be known, to be admired by every lover of learning and religion. JEJUNUM, in anatomy, the fecond of the fmall guts, fo called becaufe it is generally found empty. This is owing to the fluidity of the chyle, the greater flimulus of the bile in it, and the abundance of the latteal velfels with which it is furnifhed. Its Situation is in the region above the navel; it has a great many Connivent glands. Its beginning is where the duode¬ num ends ; and it terminates where thefe valves arc obliterated. Its length is different in various fubje&s ; but it is ufually between thirteen and lixteen fpans. JEOFAILE, or Jeofayle, inlaw, aterm ufedfor an oversight in pleading, or other proceedings in law. JESUITS, or the fociety of Jelus, a moll famous religious order in the Roman church, founded by Ig¬ natius Loyola, a native of Guinufcoa in Spain, in the year 1538, but now abolished with the confent of all the Catholick powers. JET, Gagates , in natural hillory, a folid, dry, opake, inflammable fubflance, found in large detached mafles, of a fine and regular ftrudture, having a grain like that of wood, fplitting more eafily horizontally than in any other direction, very light, moderately hard, not fufible, but readily inflammable, and burn¬ ing a long time with a fine greeniSh flame. It is of a Sine deep black colour, very glolfy and Shining, except upon its furface, where it has been fouled by accident. When examined by the microfcope, it is found to be compofed of a number of parallel plates, very thin, and laid clofely upon one another. It is not Soluble in, nor makes any effervefcence with acids. It Should be chofen of the deepefl black, of a moderate hardnefs, very light, and fuch as will fplit moll evenly in an ho- I L I rizontal dire&ion ; this being its great chara&eriftick, bv which it is diftinguifhed from the cannel-coal, which breaks equally eafy any way. Jet is of great ufe to per¬ fumers, and is fometimes preferibed in medicine. Jet D’E au, a French term, frequentlyalfoufedwith us, for a fountain that calls up water to a confiderable height in the air. See Adjutage and Fouxf aix. JETSON, Jetsen, or Jets am, inlaw, is ufed for any thing thrown out of a Ship or veflel that is in danger of being a wreck, and which is driven by the waves on Shore. See Flotson. JEWEL, any precious Hone or ornament befet with them. See Diamond, Ruby, &c. Jewel-Blocks, amongfailors, certainpullieshung to the outer ends or yard-arms of the top-lail yards : they are ufed to hoill the Sludding-fails by. Sec Studding- Sail. Jewel-Office, an office belonging to the crown, that has the charge of falhiomng and weighing the king's plate, and delivering it out by warrants from the lord chamberlain. The principal officer is the mailer of the jewel-office, who has a Salary of 450I. JEWS, thofe who profefs obedience to the laws and religion of Mofes. When a modern Jew builds an lioufe, he mull leave part of it unfurnished, in remembrance that the temple and Jcrulalem now lie defolate. They lay great Slrels upon frequent wafhings. 7 'hey abflain from meats prohibited by the Levitical law ; for which reafon, whatever they eat mull be drefied by Jews, and after a manner peculiar to themfelves. Every Jew is obliged to marry, and a man who lives to 20 unmar¬ ried, is accounted as actually living in fin. The Jews, it is faid, were formerly at the difpofal of the chief lord where they lived, and likewife all their goods. A Jew may be a witnefs by our law, being fworn on the Old Tellament, and taking the oaths to government. JEWISH Hours, in chronology. See Hour. IGNIS Fatu us, in meteorology, a meteor, other- wile called Will-with-a-Wifp. SeeW \ \.i.-lVith-a-IVifp. Ignis Gehenna, the lame with the univerfal dil- folvent, or alkahell. See Alkahest. Ignis Judicii, in our old culloms, a purgation by fire. See Ordeal. IGNITION, in chvmiltry, the heating metals red- hot, without melting them. Lead and tin are too foft to bear ignition, which takes effedt only in harder me¬ tals, as gold and filver, but efpecially iron. IGNORAMUS, in law, a term fignifying we are ignorant. This is ufed when the grand jury, impanelled on the inquifition of criminal caules, reject the evidence as too weak to makegood theprefentment or indictment brought againft a perfon, fo as to bring him upon his trial by a petty jury; in which cafe they indorfe this word on the back of the bill of the indi&ment. In con- fequence of which, all further proceedings againft the party acculed are flopped, and the fuppofed offender is delivered without further anfwer. IGNORANCE, Ignorantia , the privation or abfence of knowledge. See Knowledge. Ignorance, in law, is a want of knowledge of the laws, which will not excufe a perfon from luffering the penalty infliCled on the breach of them : for everv one is obliged, at his peril, to know the laws of the land. An infant who is juft arrived at the age of diferetion, and who may therefore be fuppofed to be ignorant of the law, is punilhable for crimes: but at the fame time in¬ fants of tender age, who are naturally ignorant, are ex- cufed. This is alfo the cafe with reipeft to perfons who are non compos mentis. IGUANA, in zoology, an American fpecies of li¬ zard, with ?. long round tail, five toes on each foot, and the creft of the throat and the dorfal future denta ed. ILEX, the Holm-Oak, or Evergreen, in bo¬ tany. See Holly. ILIACK Passion, in medicine, a pain in the fmall inteftines, apt to turn to an inflammation, in which, their periftaltick motion is inverted, and their contents, and even the excrements themfelves, are voided by the mouth in vomiting. Nothingwillpafsdown, not fo much as a flatus. It is often attended with fatal fymptoms. This difeafe, according to Hoffman, is preceded with coftivenefs, which is loon followed with moft Iharp and violent 1 L I vibient pains, and with an inflation, diftenfion, and a tumour of the umbilical region, which feels hard to the touch ; the body is fo hard bound, that neither Wind nor excrements can pafs downwards : foon after the wind firfl makes it way upward, there comes on a nau- lea, and a frequent vomiting of a bilious and pituitous matter; the breathing grows difficult, and whatever is eaten or drank is loon thrown up again; rediffi faeces, with {linking fmell, arc afterwards forced up by vomit¬ ing : this is lucceeded by lofs of flrength, a preternatural heat, a hard and contracted pulfe, with great third; the urine is red, and is voided with difficulty. When the cafe becomes defperatc, a hiccoughing and delirium appear; the nerves are diftended, the body is all in a fvveat, and violent convulfions and fainting fits put an end to the patient. his difeafe may proceed from a rupture, either of the ferotum or the groin ; from poifons, from any tiling that flops up the paflage through the fmall guts, luch as hard, dry food, chefnuts, fea-bifeuits, quinces, pears, unripe acerb fruit, when eaten in large quantities ; to which drinking little, a fedentary life, and a melancholy diipofition of mind, will greatly contribute : thefe all tend to harden the feces ; the grofs inteflines may alfo be plugged up with fcybals, efpecially if a perfon, either through fhame, or want of conveniency, does not liflen to the calls of nature. As to the cure, Sydenham thinks it ncceflary, firfl of all, to bleed in the arm, and afterwards, in an hour or two, exhibit a powerful clyfler; the fmoke of tobacco blown into the bowels through an inverted pipe, he re¬ commends as the moft efficacious remedy: this may be rep< rt ted fome time after, unlefs the effedl of the firfl renders it unneceftary. If the difeafe will not yield to a ftrong cathartick is advifable : thus, take of the I M M pi’! o! Ample colocynth, half a dram ; of calomel, one Icruple j and as much as fufficient of the balfam of Peru. Make the whole inro four pills to be taken out of a fpoonful of firUD of violets, taking no liquor upon them, left they gripe the patient, which they ate otherwife in- clinabie to do. As foon as the operation of cathartick is over, let the patient take 25/drops of the Thebiack tinflure in half an ounce of fpirittlous cinnamon-water ; and when the vomiting and pain remit, let the cathartick be repeated 1 and if the pain returns, give the anodyne again, and repeat it every fourth or lixth hour, til! the inteflines are eafy, and the cathartick begins to pafs downwards. When it has done working, give the following draught: take of fpirituous water of cinnamon, two ounces; of Thebiack tinfture, 25 drops 1 of which make a draught, which is to be repeated twice or thrice a-day, till the vomitings and pains quite ceafe : afterwards it will be ad¬ vifable to give a paregorick, at bed-time, for feverai nights. Hoffman advifes, that the pains are mitigated by ano¬ dynes, that a cataplafm fltould be applied°to the liypo- gaftrick region, to flop tile vomiting and hiccoughing, which may be compofed of equal parts of old Venice- treacle and expreffed oil of nutmegs, with the addition of oil of mint and campliire. This done, a gentle lax¬ ative of manna, cream of tartar, and oil of fweet al¬ monds, may be given with a more happy fuccefs, if the excrements have been long retained. When there is an inflammation, nothing is better than fix or eight grains of purified nitre, and half a grain of campliire mixed with fome antifpafmodick powder, and then taken in a convenient vehicle. Outwardly apply a liniment of exungua-lnunana, or any other penetrating fat, and a dram of campliire. But when other things fail in the cure of the iliack paflion, recourfe muft be had to quickfilver ; half a pound or a pound at moft is fufficient, with fat broth or oil; and the patient ihould lie on his right fide, or walk gently about the room, that its defeent may be eafier; but if there is an aflual inflammation, the quickfilver fhould not be ufed. Opiates may be ufed to mitigate the pain, provided they are exhibited in the beginning after bleeding, or before there is any figns of a mortifi¬ cation, Clyfters are generally very advantageous, for they relax the fpafrn of the grofs inteflines, whereby the excrements are more eafily dilcharged. /ILIACUS Museums, in anatomy, abroad mufcle lying on the infide of the os ilium. It is fixed by flefhy Vol. II, No. 40. fibres to the internal labium of the creft of the os iliiml, to that of the Hope between the two anterior fpines, to the infide of thefe fpines, to the fuperior half of the in- fide of this bone, and to the adjacent lateral part of tile os facrum. All thefe fibres, contraftiug by degrees, run obliquely towards tile lower part of the mufculus ploas, uniting with it; and being fixed bv a kind of aponeurofis to the outfide of its tendon, all die way to the little trochanter. ILIAD, i^iag, in literary hiflory, die name of an an¬ cient epick poem, the firfl and fined of thofe compofed by Homer. r l he poet’s defign in the iliad was to fhew the Greeks, who were divided into feverai little dates, row much it was their intered to preferve a harmony and good underflanding among themfelves; for which end, he lets before them the calamities that befel their ancedors from the wrath of Achilles, and his mifunderdandin- with Agamemnon ; and the advantages that afterwards accrued to them from their union, the iliad is divided mto 24 books, or rhapfodies, which are marked with the lctteis of the alphabet. I lie criticks maintain the iliad to lie the fird, and yet the bed epick poem that ever ap¬ peared in the world. Aridotle’s poeticks are almod wholly taken up about it, forming precepts from that poet’s practice. Some authors tell us, that Homer in¬ vented not only poetry, but all other arts and fciences ; and that there are vilible marks of a perfect knowledge of every one of them to be feen in the iliad. There is°a translation of this noble poem into our language, bv tile late ingenious Mr. Pope ; being, peihaps, the mod ele- gant, and moft in imitation of the original, of any at¬ tempt that way in any language whatever. ILIUM, in anatomy, the third and laft of the fmall guts, is fituated principally below the navel, near tile ofia ihi; whence its name. Its length is various; fometimes not more than 15, fometimes 20 fpans or more. Its be¬ ginning is where the valves of the jejunum ceafe to he conspicuous, and its end is where the larger inteflines begin ,111 which place it is, in a very Angular manner, 111 erted mto the left fide of the colon. It lias no other valves except that great one at the end, which is called, by many, valvula coli Bauhini: its glands are. in general more numerous towards the end than in any other part! IMAGE, in a religious fenfe, is an artificial repre¬ sentation or fimihtude of fome perfon or thing, ufed eiffier by way of decoration and ornament, or as'an ob- jeft of religious worfhip and veneration; in which laft lcnfc, it is ufed indifferently with die word idol. IM AGIN A I ION, a power or faculty of the mind, whereby it conceives and forms ideas of things communi¬ cated to it by the outward organs of fenfe. IMBECILITY, a languid, infirm ftate of body ■ which, being greatly impaired, is not able to perform its ulual exercises and fundlions. IMBIBING, the aflion of a dry porous body, that ablorbs or takes up a moift or fluid one : thus, fiwar im- ”" *1 a/ponge, the moifture of the air, &c. . IMBRICATED, among botanifts, an appellation given to fitch leaves of plants, as are placed over one another like the tiles of a houfe. The term imbricated is hkewile applied to fome of the heart fhells, from their being ridged tranfverfely in the fame manner. ™ I . f ATION - in literary matters, the a8 of doing or flitting to copy after, or become like to another per- Ion or thing. 1 Imitation, in mufick, a particular way of compo- lition wherein each part is made to imitate the other either throughout tile whole piece, which is one of the kinds of canon ; or only during fome meafures. which is a Ample imitation. Sometimes the motion or figure of the notes is only imitated, and that often by a contrary ' n TMMlcUi m ATF V 'f ‘ th T Ca " a "** imiathn - l-U.UAGULAl E, fortiething without flam, chiefly applied to the conception of the holy vircin See CONCEPTION. & - ttvL IM j AIS r E a T ’ ’ n ibg'ck- Thefcbcotmen diftinguifli wo kinds of aftions, the one tranfient, which pafs from contmue' '“rl*" pat ’ ent; the ° thcr which continue in the agent. MATERIAL, fomething devoid of matter, or bu areirn P r : ,? UsGod ’ anseIs ’ and Shuman lout, are immaterial beings. IMMEDIATE, whatever is capable of producing an efiedt effeft without the intervention of external means; thus we fay, an immediate caufe, in oppofition to a mediate or remote one. IMMEMORIAL, in law, an epithet given to the time or duration of any thing, whofe beginning we know nothing of. IMMENSITY, an unlimited extention, or which no finite and determinate fpace, repeated ever fo oltcn, can equal. IMMERSION, that a& by which any thing is plunged into water, or other fluid. See Flu id. Immerfion, in aftronomy, is when a dar or planet is fo near the fun with regard to our obfervations, that we cannot fee it; being, as it were, enveloped and hid in the rays of that luminary. It alfo denotes the beginning of an eclipfe of the moon, or that moment when the moon begins to be darkened, and to enter into the fha- dow of the earth ; and the fame term is alio ufed with regard to an eclipfe of the fun, when the dilk of the moon begins to cover it. In this fenfe emerfion hands oppofed to immerfion, and fignifies the moment wherein the moon begins to come out of the fhadow of the earth, or the fun begins to fliew the parts of his dilk which were hid before. See Eclipse. Immerfion is frequently applied to the fatellites of Jupiter, and efpecially to the fiift fatellite; the obfer- vation whereof is of fo much ufe for difeovering the longitude. The immerfion of that fatellite is the mo¬ ment in which it appears to enter within the dilk of Jupiter, and its emerfion the moment when it appears to come out. The immerfions are obferved from the time of the conjunction of Jupiter with the fun, to the time of his oppofition ; and the emerfions from the time of his oppofition to his conjunction. The peculiar advantages of thefe obfervations is, that during 11 months of the year they be made, at lead, every other day. IMMORTAL, that which has no principle of cor¬ ruption or alteration to hinder its lading to all eternity. Thus God and the human foul are immortal. IMMUNITY, in general, an exemption from fome office or impofition. More particularly it denotes the liberties granted to cities and communities. IMMUTABILITY, the date of a thing that cannot change. It is one of the divine attributes, and is two¬ fold, phyfical and moral. The phyfical immutability confids in this that the fubdance of God does not, or cannot, receive any alte¬ ration ; his moral immutability confids in his not being liable to any change in his thoughts, will, or deligns, having willed what he wills from all eternity. IMPALED, in heraldry, denotes a fhield party per pale or divided into two equal parts by a line drawn pale- wife through the middle from top to bottom. As the coats of a man and his wife are impaled, ormarfhalled in pale, that is, the hufband’s on the right fide, and the wife’s on the left; and this the heralds call baron and femme, two coats impaled. If a man has had two wives, he may impale his coat between theirs ; and, if more than two, they are to be marlhalled on each fide of his in their proper order. IMPALPABLE, any thing whofe parts are fo mi nute, as to be imperceptible to the fenles, particularly that of feeling. IMPASTATION, Impajlatio , a rcduChon of pow¬ ders or any other fubdance to the form of a pafle, by means of fome proper fluid. IMPEACHMENT of IVaf.e, a redraint from com mitting wade upon lands or tenements ; or a demand ol reparation for wade made by a tenant who has but a limited efiate in the land granted. He that hath a leafe without this impeachment, hath thereby a property in the houfes, trees, Ac. without being accountable for any wade made in them. IMPENETRABILITY, that property of body whereby it fo fills up a certain fpace, as that there is no room in it for any other body. IMPENITENCE, or I mpenitexc y, a hardnefs of heart which makes a perfon perievere in vice, and prevents his repentance. IMPERATIVE, in grammar, one of the moods of a verb, ferving to exprefs commandment, as go, come, fiav, Ac. In the oriental languages the future tenfe has frequently an imperative fignification. IMPERFECT, fomething that is defective, or that wants fome of the properties found in other beings of the fame kind ; thus modes are called impeifieft plants, be- caufe almod all the plants cf fructification are wanting in them; and for the like reafon, is the appellation im¬ peded! given to the fungi and lubmarine plants. Imperfect Tenfe , in grammar, denotes an indefi¬ nite time between the prefent and pad, as, I thought, 1 felt, &c. Imperfect Flowers, thofe flowers which want the petala, all'o called apetalous and Aaminous flowers. Imperfect Numbers, in arithmetick, thofe numbers whofe aliquot parts, taken together, do not make the jud number itfelf, but either come lhort of it; in which cafe they are called deficient numbers ; or exceed it, and then they are called redundant. IMPERIAL, fomething belonging to an emperor or empire. Imperial Chamber, one of the fupreme courts in Germany, the Aulick council being the other, edablilhcd for the affairs of the immediate dates of the empire. Imperial Cities, fuch as have a right to fend depu¬ ties to the diet of the empire, and own no other head but the emperor. Thefe are a kind of little common¬ wealths, the chief magidrate whereof docs homage to the emperor, and pays him the Roman month ; but in all other refpe&s the magidrate is fovereign within the jurifdidlion of his own city. Imperial Diet, an affcmbly of all the dates of the empire. It is ufually held at Ratilbon, where the em¬ peror and electors, commonly reprefented by deputies, as alfo the fecular and ecclefiadical prelates, princefles, counts, and deputies of imperial cities allid. The diet confids of three colleges, namely, that of the eledtors, where the cledtor of Mentz prefides as director; the college of princes, prelates, princefles and counts, where the archbifhop of Saltzburg prefides ; and ladly, the college of the deputies of imperial cities, where the deputy of Cologne prefides. In the diet, each principality has a vote ; but all the prelates, fo they call the abbots and provods of the empire, have but two voices ; and all the counts but four. IMPERSONAL Verb, in grammar, fuch a verb in the Latin as is only ufed in the third perfon Angular, as libet, oportet, decct, &c. IMPERVIOUS, a thing that cannot be pafied through, either by reafon of the clofenefs of its pores, or particular configuration of its parts. IMPETIGO, in medicine, a tetter or virulent itch, the fame with lichen, volatica, and mentagra. It is a kind of dry and fcaly itch, which, after the abrafion of the efcar, leaves bloody fpots under the ikin, and upon the approach of heat produces a painful and almod in¬ tolerable itching. This dilorder is mod familiar to fcor- butick perfons, and thofe afflidted with a ferous cacochy- my ; and if it be in a great degree, it is called a leprous pfora. In the word kind of this difeafe, the head is very often affedled, and a crud grows all over the body, without excepting even the face, lips, and hands. Befides, the whole lkin becoming ulcerous, difeharges a ferous, cor- rofive fanies, and the cuticula is foon after feparated, fo that dry fcales may be eafily taken off, whilft the fub- jacent lkin, which is of a dark red colour, difeharges an acrid moidure. Hence a feetid fmell is produced, and the patients having a keen appetite, complain ol an infatiable third. But if this fpecies of the itch, fuccecding a gonorrhoea, buboes, and other diforders of the genitals, not only feizes the whole body, but particularly the face, and is attended with notes and tophi in various parrs; and if the pains which accompany it, being corroding, pene¬ trating, intenfe, and pungent, increafe in die night, the diforder is called venereal and malignant. The whole method of cure, and all the powers of the remedy, ought to aim at dilchau . i, out of the body the mafs of corrupt, glutinous and -. . id humours, by fuffi- cient bleeding and abfiinenc_ , by purges, both gentle as milk is; and dradick as hellebore : Then that by con¬ gruous aliments and a proper regimen ol diet, juices of a laudable quality and agreeable to nature may be gene¬ rated ; and ladlv, that, by external, deterlive, confoli- dating, I M P dating, and drying remedies, the parts may be freed from pains, tumours, itching and ulcers. See Itch. 1 MPETRATION, the obtaining any thing by rc- queft; it more particularly denotes, in our ftatucs, t’m pre-obtaining of benefices and church livings in 'Lnglanci from the court of Rome, which were in the difpofal of the king and other lay-patrons ; the penalty whereof is the fame with that of provifors, 25. E. I II. IMPETUS, in mechanicks, a kind of force by which bodies aft, when impelled in any dircftion by any other body. See Momentum. In difeales it is the lame with paroxyfm. . _ . f f . • IMPING, in falconry, the mfertmg of a feadrei in the wing of a hawk, in the place of one that is broke. IMPLEAD. To implead, fignifics the lame as to profecute orfue a perfon by courfe of law. IMPLICIT, whatever is contained in a diicourle. or propofition, not in exprefs terms, but tacitly, and only Reducible by confequence. IMPORTATION, the bringing in goods from other countries, and is ufed in oppofition to exportation. IMPOSITION of Hands, in ecclefiaftical matters, is at prefent confined to that impofitioil which is ufed in ordination, whereby the evangelical million, &c. is con¬ veyed ; as alfo to the impofing of the bilhops hands in confirmation. IMPOSSIBLE, whatever is not poffible to be done A propofition is faid to be impoflible, when it contains two ideas that mutually deftroy each other; thus it is impoflible that a fquare Ibould be a circle; fince we clearly perceive that fquarenefs and roundnefs deftroy each other by the contrariety of their figure. There are two kinds of impoffibilities, phyfical and moral: the former, what cannot be done by the powers of nature ; the latter, when of its own nature it is polhble, but vet attended with fuch difficulties, that, every thing confidered, it appears impoflible ; as that ai men fliould be virtuous, or that the fame numbers fliould he thrown any number of times with three dice, &c. Any thing contrary to decency and good fenfe is alfo faid to be impoflible, from this topick, Omne turpe eft impoflibile ; though in itfelf very poflible to fuch as have no regard to good fenfe, Ac. . IMPOST, inlaw, any tax appointed by the love- reign authority to be paid for fuch merchandizes as aie brought from foreign countries ; and it is fometimes ap¬ plied to a tax levied from inland goods of home produc¬ tion. It is commonly diftinguifhed from cuftom, which properly fignifies the duties paid for goods exported. IMPOSTS, in architecture, the capitals ot pillars or pilafters that foftain a;ches, alfo called chaptrel, being a fort of plinth or little cornice which crowns a pier over which an arch or vault commences. . , . The Tufcan impoft is a plinth only ; the Dorick has two faces crowned ; the lonick a larmier over the two faces, and its mouldings often carved; the Corinthian and Compofite have a larmier, frieze, and other mould¬ ings. The projeaure of the impoft mull not exceed the naked of the pilafter, fometimes the entablature of the order ferves for the impoft of the arch, and has a very {lately appearance. IMPOSTHUME, in forgery, acolleaion of purulent matter in any part of the body. SeeABScEss. IMPOTENCE, or Impotency, in general, de- notes want of ftrength, power, or means to perform any thing, but more particularly the want of ftrength m a man to perform the rights of the marriage bed. IMPRECATION, a curie, or wifo that evil may befal any one. . „ IMPRESSION, is applied to the fpccies of objects, which are fuppofed to make fome mark or imprefiion on the fenles, the mind, and the memory. Impression, alfo denotes the edition of a book, re¬ garding the mechanical part only ; whereas edition, betides this, takes in the care of the editor, who corrected or augmented the copy, adding notes, &c. to render the work more nfefui. „ . , IMPRISONMENT, the ftate of a per on reftrained of his liberty, and detained under the cuftody of another. IMPROPRIATION, a parfottage or ecclefiaftical living, the profits of which are in the hands of a lay- 'man; in which fenfe, it {lands diftinguifhed from ap¬ propriation, which is where the profits of a benefice are I N C in die hands of a bifhop, college, Ac. diough diefe terms are now often ufed promifeuouily. See Appropria¬ tion. _ IMPUTATION, in general, die charging iome- thing to the account of one-, which belonged to another : thus, we fay, that Adam’s fin is imputed to all his pofte- rity. In the fame fenfe, the righteoufnefs and merits of Chrift are imputed to true believers. INACCESSIBLE, -fomething that cannot be come at, or approached, by realon ot intervening obftacles, as a river, rock, Ac. It is chiefly ufed in i'peaking of heights and diftances. See Alt itude and Distance. INALIENABLE, that which cannot be legally alie¬ nated or made over to another: thus the dominions ot the king, the revenues of the church, the eftates of a~ minor, Ac. are inalienable, otherwife than with a referve of the right of redemption. INANIMATE, a body that has either loft its foul, or that is not of a nature capable of having any. INANITION, among phyficians, denotes the ftate of the ftomach when empty, in oppofition to repletion. INARCHING, in gardening, is a method of graft¬ ing, commonly called grafting by approach. Sec the article Grafting. INCAMERATION, a term ufed in the chancery of Rome, for the uniting ot lands, revenues, or other rights, to the pope’s domain. INCANTATION, denotes certain ceremonies, ac¬ companied with a formula of words, and tuppofed to be capable of railing devils, fpirits, Ac. INCAPACITY, in the canon-law, is of two kinds : 1. The want of a difpenfation for age in a minor, for legitimation in a baftard, and the like : this renders the proviiion ot a benefice void in its original. 2. Crimes and heinous offences, which annul provifions at firft valid. INCARNATION, in theology, the aft whereby the fecond perlon of the Holy Trinity atfumed the human nature, viz. a true body and realonable foul, in order to accomplifh the redemption ot fallen mankind. See Trinity. The generation of Chrift was miraculous, as being conceived by the power of the Holy Ghoft, and born of the Virgin Mary ; from the time of which blefled nati¬ vity, the Chriftian a?ra commences. SeeEpocHA. INCARNATIVES, in forgery, medicines which aflift nature in filling up wounds or ulcei ‘9 with flefh ; or rather remove thg obftruftions thereto. Internal in- carnatives are aliments which fopply a balfamick chyle, and confequently generate fleth, and produce a full or plump habit. INCARTATION, among chymifts, the fame with depart. See Depart. INCEPTIVE, a term ufed by Dr. Wallis to exprefs fuch moments, or firft principles, which, though of no magnitude themfelves, are notwithftanding capable of producing it. Thus, a point is inceptive of a line, and aline inceptive of a furface, Ac. INCEST, the crime of venereal commerce between perlons who are related in a degree wherein marriage is prohibited by the law of the country. Incest Spiritual, a crime committed in like manner between perfons who have a fpiritual alliance by means of baptifm or confirmation. INCH, a well known meafore of length; being the twelfth part of a foot, and equal to three barley corns in length. See Foot and Measure. Inch of Candle , or fale by inch of candle. See the article Candle. INCIDENCE, in mechanicks and opticks, denotes the direftion in which one body ftrikes another. See Angle. INCIDENT, in law, fomething that infeparably be¬ longs to another: thus a court baron is incident to a manor. Incident, in poetry, denotes much the fame with ipifode. See Episode. INCISIVE, an appellation given to whatever cuts or divides : thus, the fore-teeth are called dentes incifivi, or cutters ; and medicines of an attenuating nature, in¬ cidents, or incifive medicines. INCLINATION is a word frequently ufed by ma¬ thematicians, and fignifies the mutual approach, tendency or leaning of two hlie!>, or two planes, towaids each other, fo as to make an angle. Inclination I N C Inclination of a right line to a plane, is tile acute angle which that line makes with another right line drawn in the plane through the point where the inclined line interlefts it, and through the point where it is alio cut by a perpendicular drawn from any point of the in- clined plane. Inclination of the axis of the earth, is the angle which it makes with the plane of the ecliptick; or the angle con¬ tained between the planes of the equator and ecliptick. Inclination of a planet is an arch of the circle of incli¬ nation, comprehended between the ecliptick and the plane of a planet in its orbit. The greateft inclination of Saturn, according to Kep- “f* 1S 2 ° 3 2 ; of Jupiter, i° 20'; of Mars, i° 50' 30"; of Venus, 3 0 22'; of Mercury, 6° 54. According to tk la Hire, the greateft inclination of Saturn is 2 0 3 ( 30 ; of Jupiter, i° 19' 20"; of Mars, i° 51'00"; of Venus, 3 0 25'5"; of Mercury, 6° 52'00". Inclination of a P lane^ in dialling, is the arch of a vertide circle, perpendicular both to the plane and the horizon, and intercepted between them. Inclined Plane, in mechanicks, thatwhich makes an oblique angle with the horizon. _ That 311 inclined plane is a mechanical power appears iufnciently in its diminiihing the weight of a body laid upon it in regard to the power which holds it in aquili- biio. Let A (plat" XLI1I. fig. 2.) be a body fuftained on the inclined plane BD; from the centre C'draw C F perpendicular to the horizon or bafe D C, and C E per¬ pendicular to the plane; then C F will reprefent the whole weight or force-of gravity of the body A, which is refolviblc into the two forces C E and EF , but the force C E, being perpendicular to the plane, afts wholly upon it, and is equally re-afted on or fuftained by the plane ; the other force E F, being parallel to the plane, is that by which the body defeends, or is kept from de¬ fending by an equal power afting in a contrary direftion. Therefore the whole weight of the body is to the power which keeps it in a?quilibrio on the plane as C F to F E, or (becaufejhe triangles C F E and B D C are fimilar) as B D to B C, that is, as the length of the plane to its height. If it fhould be required to lift up a very heavy body as W or w (fig. 3.) the height C B, it would be imprafti- cable to raife it up in the line C B without a power whofe intenfity is equal to that of the weight; and even in that cafe very inconvenient to do it, efpecially in building. But if aq inclined plane A B belaid arilingfrom the hori¬ zontal line AC, from whence the weight is to be raifed, a lefs power than the weight will ferve for that purpofe! unlefs it pufhes the body direftly againft the plane (as in the direftion W T) or draws the body away from the plane (as from W towards e, /, or L) or in any direftion on tint fide of the line E e. The direftion in which the body can moft eafily be drawn or pulhed up the plane is the line W w M, "pa¬ rallel to the plane, and palling through the centre of the weight; for whether the power divides a plane k K (in a direftion perpendicular to it) along the line W M, or the power Pe (by its defeent to P) draws it in the fame line, the velocity of the power will be equal to the line W the fpace deferibed by the centre of gravity of the weight, whilft the fame weight rifes only the perpendi¬ cular height ZB (~n W) or has the faid line properly to cxpiefs its velocity. If the body was a cylinder, as a rolling ftone, and the plane T t were to pals through the gudgeons or axis of the faid ftone; it is evident that the cafe would be the fame ; and as the weight P has its rope running over the roller (or upper pulley) M, the line P c P will be the velocity of the power. Therefore in this cafe the weight (if kept in squilibrio) will be to the power, as W w (= T B) to wY (= B Z) or as the hypothenufe A B is to the perpendicular B C, which (by Eucl. 4. 6.) are in the fame proportion; and confe- quently, if the power be never fo little increafed, it will draw the weight up the plane. That the power afls with the greateft advantage, whilft it draws in the line of direftion W w (parallel to the plane) is evident, becaufe if one end of the faid plane of direftion remainingfixed at W, the other fhould move towards B, or beyond it, then the body would be partly drawn againft the plane, and therefore the power muft r n c be mcreafed in proportion to the greateft difficulty of traction : and if the end w of the line abovementioned Ihould be carried to D. or beyond it, the power muft be alio mcreafed, mafmuch as it endeavours to lift the body off from the plane. It the power draws in a line of direftion W B (fig-. 2.) parallel to the bafe of the plane j then, in order to keep the weight W in squilibrio by the power n, the faid power muft be to the weight, as Z B to Z T, or as the perpendicular B C to the bafe AC of the triangle AC B. F or if we fuppofe the pulley R at fo great a diftance from . ’ tliat the Jine ot direftion W R may not fenfibly alter its horizontal pofition, whilft the body W rifes the height B Z, in fuch manner that n zj (— W Y, and not W w) will be the velocity of the power. So* that the velocity ot the power to that of the weight will not be as the hypothenufe to the perpendicular, as in the former A C B° Ut aS tllC t0 tllC P er P en ^ icular the triangle li the powers be increafed juft enough to overcome the friction of the plane and draw up the body W, let the pully R be lifted up gradually to r, fo as to keep the line v\ L parallel to itfelf till it comes to iu r, and the power will be de/cended to tt, when the weight is come to w B. But IT 7 r, together with the diftance R r, is equal to n ■sr, or W Y, & c. And the traftion is conftantly made in the angle W BT, in this cafe. Inclined Tounrs , thofe whofe tops Jiang fo far over, as to appear dangerous to people walking below ; fuch as fi °ul°gna, built in the year 11 10, and that of , a 111 J 1C y car 1 \ 73 ’ Now the reafon why fuch towers do not fall, is owing to their centres of gravity being tupported. ^ INCLINERS, oiTncli ned Planes, in dialling. See the article Dial. q INCOGNITO, a term applied to a perfon who would not be known. INCOMBUS TIBLE, whatever cannot beconfumed by fire, as metals, ftones, and cloth made of lapis ami¬ anthus, &c. INCOMMENSURABLE, in arithmctick and geo¬ metry, when two numbers or quantities, See. compared to each other, have no common meafure, or when no third quantity can be found that is an aliquot part of both ; or when thofe quantities, See. are not to one an¬ other as unity to a rational number, or as one rational number to another. The fide of a fquare is incom- menfurable to the diagonal, as is demonftrated by Euclid: but it is commenfurable in power, the lquare of the dia¬ gonal being equal to twice the fquare of the fide by Euclid 1. 48. And this theorem of the incommenfura- blenefs of the fide of the fquare to its diagonal was fo famous among the ancients, efpecially Plato and Arif- totlc, that the former lookt upon him as a beaft, and no man, who ihould be-ignorant of it. INCOMPATIBLE, whatever cannot confift with another thing without deftroying it; as equal degrees of cold and heat in the fame fubjeft. INCOMPOSITE Numbers, the fame with what Euclid calls prime numbers, where unity is the onlv ali-. quot part to meafure them by. INCONTINENCE, Incontinentia , befides the moral lenfe, denotes, in medicine, an inability in any of the organs to retain what ihould not be difeharged without the concurrence of the will. It moft frequently implies an involuntary difeharge of urine, the bladder in men being fometimes fo debilitated that it flows from them involuntarily. This may proceed from a ftone in the bladder, or a palfy in the fphinfter. In the firft cafe the only remedy is lithotomy, or an extraftion of tile ftone. .Nor is lithotomy infallible; for that operation frequently caufes the difotder. But, if it proceeds from a weaknels of the neck of the bladder, urengthening and nervous medicines arc moft likely to remove it. j'ffi. NC< k R F° RATION ’ the m!xin S the particles of different bodies or confiftencies fo together, as to make an uniform compofition or confidence of the whole, whereby the ingredients mixed cannot be diftinguifhed in any of their particular qualities. This is much the fame with impaftation, as pills, bolufes, troches, and plafters INC ORp O R EAL. the fame with fpiritual, a thing which has no body, as God, the foul of man, &c. ° 1NCOR- I N D INCORRUPTIBLE, whatevercannot be corrupted ; thus, all fpiritual fubftances, and likewife glafs, fait, Ac. may be called incorruptible. INCRASSANTS, or Incrassatinc Medicines , JncraJJantia , in phyfick, fuch as reduce the too fluid blood and juices to a proper confiftence, and due condenfation. INCRASSAT1NG, the aft of renderingfluids thicker t>y the mixture of other lefs fluid particles, or by expel¬ ling the finer particles, and compinging and bringing the grofler nearer together. INCREMENT and Decrement, theincreafeand decreafe of a quantity. See Series. INCRUSTATION, the coating ofawall, either with glofly Hones, rufticks, marble, pottery,orftucco-work, and that either equably, or in pannels and compartments. Incrustation, in furgery, the inducing of a cruft or efcar upon any part. INCRUSTED, or Incrust ated Column, is a column confifting of feveral pieces or flips of feme pre¬ cious marble mafticated or cemented round, a mould of brick or other matter. INCUBATION, the aftion of a hen or other fowl brooding her eggs. INCUBUS, or EpHiALTES,in phyfick, commonly called the night-mare, a di(order under which the patient cannot flir himfelf, but with the utmoft difficulty ; is feized with a numberlcfs and fenfe of weight, with a dread of l'uffocation, and an oppreffion, as from fome body fall¬ ing fuddenly upon him. The word is derived from the Latin, incumbo , in re¬ gard the patients fancy they feel fomething afeending and fitting upon their breaft. This appears to be a difeafe of ftrifture, from the fenfe of weight attending it; and of the chronical kind, from the length of time ; and it is not always without danger, for fome have died under the violence of the luffocation. The incubus is oi’a bad kind, ’when it Lizes the patient, though awake, in the night; but worft of all, when, after molefting him in his fleep, it leaves him to awake under a cold l'weat and palpitation of the heart. Such as have been long and often fubjeft to it, have reafon to apprehend fome dangerous diftempers of the head, as a Vertigo, apoplexy, Ac. The cure confifts in evacuations by phlebotomy and catharticks. The patient muft be kept to a thin diet, and avoid all flatulent food. Incubus, a name given by the pagans to certain demi¬ gods, formerly called fawns and fatyrs. INCUMBENT, in law, a clerk refident in his bene¬ fice with cure, fo called, becaufe he ought to bend his ftudy to difeharge the duty of fuch cure. INCURVATION, the aft of bending a bone or other body from its natural fhape. INCUS, in anatomy, a fmall bone in the internal ear. See Ear. 1NDEFEIZIBLE, or Indefeazable, in law, what cannot be defeated or annulled. INDEFINITE, indeterminate, that which has no •certain bounds, at Jeaft, aflignable by the human mind. Defcartes ufes the word, inftead of infinite, in numbers and quantities, to fignify a number fo great, that an unit cannot be added to it; and a quantity fo great, as not to be capable of any addition. Indefinite, in the fchools, alfo denotes a thing that lias but one extreme ; for inftance, a line drawn from any point and extended infinitely, as alfo eternity a parte ante, or eternity a parte poft. Indefinite, in grammar, denotes fuch nouns, pro¬ nouns, verbs, participles, articles, Ac. which are left in an uncertain indeterminate fenfe, and not fixed to any particular time, or other circumftance. 1N i)E LIB LE, that which cannot be effaced. INDEMNITY, an aft by which one promifes to guarantee, or fave harm lefs, fome other perfon from any lol’s or damage that might accrue to him on any particu¬ lar account. INDENTED, Indentee, in heraldry, when the outline of a border, ordinary, Ac. is notched like the teeth of a faw. INDENTURE, inlaw, a writing which comprizes fome contraft between two at leaft, being indented at top, which correfponds to a counter-part, containing fcgv double of the fame contraft. It differs from a Vol. II. No. 41. I N D deed-poll, in that this laft is a Angle deed, and is not indented. INDEPENDENTS, a feft ofProteftailts irt Britain and Holland, fo called from their independency on other churches, and their maintaining that each church or congregation has lufficient power to aft and perform every thing relating to religious government within itfelf, and is no way lubjeft or accountable to other churches or their deputies. They therefore difallow parochial and provincial fu- bordination, and form all their congregations upon a l’cheme of co-ordinancy. But though they do not think it neceflary to aflemble fynods; yet if any be held, they look on their relolutions as prudential councils, but not as decifions to which they are obliged to conform. INDETERM1N ATE, in geometry, aquantity either of time or place, which has no certain or determinate bounds. Indeterminate, or In determined Problem , that whereof there may be feveral, or even an infinite number of (elutions. INDEX, in anatomy, denotes the fore-finger. See the article Hand. The days on which future crifes may be prefaged, are likewife called die-; indices. Index, in arithmetick, is the fame with what is other- wife called the charafteriftick, or exponent of a logarithm, being the iirft number Handing on the left hand of the point: it lhews how many places the abfolute number* belonging to the logarithm confifts of, and of what na¬ ture it is, whether an integer or a fraftion. As in this logarithm, 2.523421, 2 lhews that the abfolute number anfwering to it confifts of three places, being always one more than the index. If the abfolute number be a frac¬ tion^ then the index of the logarithm hath a negative lign. See .LogarithM. Index of a globe, a little ftile or gnomon fitted on to the north pole, and turning round with it, pointing to certain divilions in the hour-circle. Index, or Indice, a congregation at Rome, Ac. whofe luifinefs is to examine books, and to put fuch as they think fit to prohibit the reading and felling of, into an index. The catalogues thcmfelves of thefe prohibited books are called indices or expurgatory indices: among which fome are condemned purely and abfolutely, and others, only till they be correfted. The moft cOnfidcr- able of all the indices is that of Sottomayor, which was made for all the Hates fubjeft to the king of Spain, and comprehends all the other indices, coming down as low as 1667. INDIA proper, or Hither India, a large pe- ninfula in Afia, bounded on the north by Ufbec Tar¬ tary, and Thibet; on the eaft, by another part of Thibet, the kingdom of Afem, Ava, and Pegu; on the fouth, by the bay of Bengal, and the Indian ocean ; and by the fame ocean and Perfia on the weft: fituated between 66° and 92° of eaft longitude, and between 7 0 and 40° of north latitude; being about 2000 miles in length from north to fouth, and 1500 miles in breadth from eaft to weft where broadeft ; though the fouthern part of the pe- ninfula is not 300 miles broad. All the country within thefe limits is either fubjeft or tributary to the great Mogul. It is frequently called Indoftan, a name fup- pofed to be derived from the river Indus, on its weftern frontiers: it is alfo called the Mogulftan, from the im¬ perial family now upon the throne, who trace their pe¬ digree from Tamerlane a Mogul Tartar. The produce of this country, and what the Euro¬ peans import from thence^ is chiefly chints, callicoes, muffins, fome filk, pepper, and diamonds, which are purchafed by moft nations with filver ; but the Dutch frequently barter fpices for them, which makes the India trade doubly advantageous to them. INDIA, beyond the Ganges, is a country bounded by Thibet and Boutan on the north ; by China, Ton- quin, and Cochin-China on the eaft ; by the Indian ocean on the fouth ; and by the hither India, the bay of Bengal, and the ftraits of Malacca, on the weft : it is fituated between 92 0 and 104° of eaft longitude, and be¬ tween the equator and 30° of north latitude: bein r near 20CO miles in length from north to fouth, but of a very unequal breadth ; in which limits are comprehended the kingdoms of Afem, Ava, Pegu, Laos, Siam, Cam- D bodia, I N D bodia, and Malacca, governed by as many Indian princes; only the Dutch have ufurped the dominion of Malacca. In this country there are a vaft number of elephants, and confequently a great deal of ivory ; our merchants aifo meet with gold and precious ftones, canes, opium, and luch other articles as are ulually found within the tropics. INDICA 1 ION, Indication in phytick, denotes the pointing out or ditcovering what is fit to bedone, and what means are fit to be applied in any cafe, from a knowledge of the nature of the difeafe and the virtues of medicines. . INDICATIVE, in grammar, the firft mood of con¬ jugating verbs, Ihewing either the time prefent, paft or future. r INDICTION, the convoking an ecclefiaftical aflem- bly, or council; it is alfo applied to the feveral tcffions of the fame council. Indiction, in chronology, a kind of epocha, or manner of reckoning time among the Romans, contain¬ ing a cycle of 15 years. There are three kinds ofindic- tion mentioned in-authors : the indiflion of Conftanti- pople beginning on the firft of September; the imperial or Caeianan indnftion on the 14th of September; and the Roman or papal indiflion, which is that ufed in the pope’s bulls, and begins on the firft of January. Since Charlemaigne made the popes fovereigns, they dated then ads by the year of the mdiftion, before which time they dated them by the years of the emperors. INDICTMENT, in law, a bill of complaint, for¬ mally drawh up, in behalf of the commonwealth, and exhibited as an acculation of one for fome offence, cri¬ minal or penal, before a jury, and by their verditfi pre- lented to a judge or officer that has power to certify the punilhment which the law appoints 011 fuch criminals, whereupon execution enfues accordingly. This accu¬ sation the jury do not receive, till the party that offereth the bill, appearing, fubfenbe his name, and prefer his oath for the truth of it. Indiftment is always at the fuit of the king, and differs from an accufation,' in that the preferrer is no way tied to the proof thereof upon any pe¬ nalty, if it be not proved, except there appear a confpiracv INDIGESTION, Indi^'Jiio, a want ofdue coition, ci- ther in the food, the humours of the body, or excrements. INDIGO, in commerce, a preparation of the juice Of a plant, called by fome anil, the charaflers of which are thefe: tile cup is plane; the al* of the flower are connivent at their upper edges, and arc of the fame figure with the vexillum. _lt is one of the diadtlphia decandria clafs of Linilatus. This plant grows to about two feet high, with roundiffi leaves ; and is a native of both the E. and W. Indies. Choofe the indigo of Serquiffe in flat cakes, of a moderate thicknefs, neither too foft nor too hard, of a deep violet colour, light, and fuch as fwims on water ; and when broken, has no white fpots in it; and, laftly, fuch as is copperilh or redilh on being rubbed with one’s nail, and has the leaft dull and broken pieces in it. The ufe of the indigo is for the dyer and laundrefles, ferving the Jaft to put among their linen. The painters ufe it to grind with white for painting in blue ; for if it is ufed alone and neat, it turns black ; ground with yel¬ low, it makes a green : fome confe&ioners and apothe¬ caries prepofteroufly ufe this to colour fugars, with which to make conferves and firup of violets, by adding fome orris. For the manufacturing of indigo, fee Manioc k and the plale there referred to. INDIVIDUAL, Individuum , in logick, a particular being of any fpecies, or that which cannot be devided into two or more beings equal or alike. INDIVISIBLE, among metaphyficians. A thing is faid to be ablblutely ilidivifible, that is a Ample benny and confifts of no parts into which it may be divided’ Thus God is indivifible in all refpefts, as is alfo the human mind, nothaving extenfion or other properties of body. Indivisible Secundum quid ejl, indivifible with re- fpeft to what is now, is a fubftance which, though it con¬ fifts of parts into which it may be divided, yet never can be fo divided as to remain the fame: thus a meafure or number is faid to be indivifible, for if from a foot¬ line, for example, any thing is deduaed, it is no more a foot-line; and iftrom the number three any thing is fub- traacd, it is no longer 1 - fame number. Sec Article Indivisibles, in geen.-.-try, the elements or princi¬ ples into which any bee- figure may be ultimately | I N E refolved ; which elements are fuppofed infinitely (mail- thus a line may be laid to confift of points, a furface of para! e! lines, and a folid of parallel and fimilar furfaces - and then, becaute each of thele elements is luppofed in- diviiibie, it in any figure a line be drawn through the ele¬ ments perpendicularly, the number of points m that line "ill be the iame as the number of dements ; whence we may fee that a parallelogram, prifm, or evlinder, is re- io mbJe into elements or indivifibles, all equal to each other, parallel and like to the bale ; a triangle into lines parallel to the bale, but decreating in arithmetical pro¬ portion, and fo are the circles which conftitute the pa- rabolick conoid, and thofe which conftitute tile plane of a circle or furface of an ifofceles cone. And this way of confidenng things was called methodus indivifibiliutn hrlt made ule of in geometry bv Kepler, and then fur¬ ther extended by C’avalerio, Gregory' a S. Vincentio and our countryman Bairow, preceptor to the great Sir llaac Newton, who, with a fagacity peculiar to himfelt extracted from thence his fluxions, fince the invention of which it has been laid aiide. , INDORSEMENT, inlaw, any thing written on tlte oackofadced, as a receipt lor money received. See Bn r IN DUCEML N 1 , in law, lignifies what may be al- ledged as a motive: and, in our law, it is ul'ed fpecially in leveral caies; as there is an inducement to actions, to a trayerfe in pleading, and to an offence committed Ac INDUCTION, inlaw, is putting a clerk or clergy¬ man 1.1 poffefhon of a benefice or living to which he is collated or prefented. INDULGENCES, in the Romifh church, are a re- nr dion of the punilhment due to fins, granted by the church, and luppofed to lave the finner from purgatory Clement V 1 . in Ins decretal, which is generally received by the church of Rome, declares, that our Saviour has eft an infinite treafure of merits, arifing f.om his own i offerings, befides thofe of the blelTed virgin and the laints; and that the patlors and guides of the church and more efpecially the popes, who are the foverei^n difpofers of this treafure, have authority to apply it °o the living, by virtue of the keys, and to the dead, bv way otluffrage, to difcliarge them from their refpcdKve proportions ot punilhment, by taking juft fo much merit out of this general treafure, as they conceive tile debt requires, and offering it to God. It was the great abufe of indulgences that contributed not a little to tlte firft reformation of religion in Ger¬ many, where Martin Luther began firft to declaim againft the preachers of indulgences, and afterwards againft in¬ dulgences themfelves : for fince that time the popes have been more fparing in the exercife of this power ; how¬ ler, they ftill carry on a great trade with them in the Indies, where they are purchafcd at two rials a piece and fometimes more. INDULT, jn the church of Rome, the power of pre- fenting to benefices granted to certain perfons by the pope. INDULTO, a duty, tax, or cuftom, paid to the king of Spain, for all fuch commodities as are imported from the Weft-Indies in the galleons. See Galleon. INERTIA of Matter , in philofophy, is defined by Sir llaac Newton to be a paflive principle by which bo¬ dies perfift in their motion or reft, receive motion in proportion to the force imprefling it, and refill as much as they are refilled. It is alfo defined by the fame author to be a power implanted in all matter, whereby it refills any change endeavoured to be made in its ftatc. This power then coincides with the vis refi/iendi, or power of refilling, whereby every body endeavours, as much as it can, to perfevere in its own ftate, whether of reft or uniform reCtilinear motion; which power is ftill proportionable to the quantity of matter in any bodv : foi fince natural bodies confift of a mals of matter, that, of itfelf is not able to induce any change in its ftate, if bodies were once at reft, it is necelfary that they Ihould always remain in that ftate of reft, unlefs there is applied a new force to produce motion in them: but if they were in motion, the fame energy or force would always pre¬ fen e the motion; and therefore bodies would always re¬ tain their motion, and would always proceed forward in the fame right-line with the fame tenor, fince they can¬ not of themfelves acquire either reft or a retardation, or a change of their direction to turn on one fide or the other. Since, according to this law, a body once in motion always I N F always continues in that motion, the philofophers afk, why all proje&iles lofe by degrees their motion, why do they not proceed in infinitum ? if motion did not of its own nature decay, a Hone thrown at the beginning of the world, would by this time have gone through an immenfe and almoit infinite fpace. And l'o indeed it would, if its motion had been in vacuo, or in free fpaces, and without any gravity. But fince all pro¬ jectiles are carried either through the air, or on the rough furfaces of other bodies, they mull be necedarily retarded : for fince all bodies in motion mult drive and thruft out of its place the relifting air, or overcome the roughnefs of the l'uperficies upon which they are moved, they will lofe all that force and motion that is conflantly employed in overcoming thefe obltacles, and confe- quently the motion of projectiles will be continually diminifhed ; but if there was no refinance in the me¬ dium, no roughnefs in the fuperficies on which they were moved, no gravity that continually forces the bodies toward the earth, motion would always continue the fame, without any retardation at all. So in the heavens, where the medium is exceedingly rare, the planets do continue their motions for a very long time ; and upon ice, or any other very l'mooth furface without roughnefs, heavy bodies in motion are not foon brought to reft. INFALLIBLE, what cannot deceive, nor be de¬ ceived ; thus God alone is infallible ; but papifts fay, the church is infallible in her decifions as to faith and manners ; but where to place this infallibility, whether in the pope and a general council, or in a general council without the pope, as in the council at Conftance, or in the pope without a general council, when he lpeaks ex cathedra, they cannot determine. INFAMOUS, in general, denotes fo me thing noto- rioufiy contrary to virtue or honour. Infamous, in law, denotes a perfon of no repute in the world. There are two kinds of infamy ; fome perfons being infamous de jure , or ftigmatized by publick judgments ; others are infamous de faflo, as being of a fcandalous profeflion, as a catchpole, hangman, in¬ former, See. INF ANT, among phvficians, implies a young child. The illuftrious Hoffman lias given us the following re¬ gimen for infants. As foon as the child is brought into the worfd, it ought immediately after the ligature, and cutting of the umbilical vefiels, tobewafhed in a warm bath prepared of water alone, ora mixture of wine and water. The midwife too fhould, it there appear any thing ill formed by the birth, fafhion it better, and reftore it to its natural fhape. But, above all, file mull obferve whether the child be ftrong and robuft, or weak and infirm, which laft may be diicovered from its voice and relpiration. If the new-born infant be found to be preternaturally weak, it Ihouid be wafhed with warm wine, rubbing it gently and breathing ftrongly into its mouth, after chewing aromaticks, or giving it a fmall quantity of Khcnilh wine, or cinnamon-water. But, as the tender infant muft befecured from the in¬ juries ol the air by loft linen, and commodious bandages, great caution is requifite, left fome damage be done, and a foundation laid for future diforders. The next care is, that infants be feafonablv purged. For this purpofe Providence has kindly furnifhed the mother at firll with thin lweetifh milk termed coloftrum, whole deterging and diluting quality opens the body much better aud fafer than the moll lelefl evacuants. Il the mother’s nipples be too lrnall, or too thick, or if the mother have not a mind to give fuck, or have not milk loon enough, it is much better for the firll four and twenty-hours that the body fhould be freed by other proper laxatives from its meconium, than immediately after the birth to deliver the infant to a robull fat nude to be fuckled. Milk delcrvcdly conftitutes the principal and univerfal aliment, becaule it lupplies both meat and drink at the lame time, is grateful to the ilomach, and for this pur- pole was it wilely ordered by the Creator, that healthy women, immediately after their delivery, fhould accumu¬ late a lufficieut quantity of it in their breails. The milk of nudes lhould be pure and temperate, which is bell obtained, if they obferve an exadt method of diet. A hired nurfe fhould be healthy, in the flower of her 1 N F age, from 20 to 30, rather lean than fat, of good mo¬ rals, compofed in mind, neither melancholick, pafiionate, nor a drunkard ; nor, laftly, let her milk be too Hale. F ui ther, let her obferve a regular diet; and not pal's from a hard and fparwig food, to one which is delicate and plentiful, but rather accuftom herfeif to it by de¬ grees. If fhe is deprived of lleep in the night, let her repair that lofs in the morning, yet lb as not to indulge it too far. The quantity of milk to be fucked cannot be exa£lly determined ; but the general pradlice is to give the breall for the month every two hours ; after three or four months, fix or l'even times, and at lail only twice or thrice in a day, till the year is expired. It the milk alone be not fufficient to fupport the child, ihere are other aliments contrived for this purpofe luited to various countries and people ; .the moil common are paps made of crumbs of bread, Ac. But I very much doubt, w'hether infants, efpecially the very tender ones, are capable of difiolving perfectly this vifeid food, and rather think that they pave the way for obfiruflions of the vifcera and meientery. Nor can 1 approve of that pernicious cullom of giving children pap rolled firll in the nurle’s mouth, and mixed with her l’afiva ; becaufe, by fuch maftication, not only the moil fubtile part of the pap is fucked out, but alfo any infe&ion of the lahva and corrupted teeth are eaiily communicated to the in¬ fants. In the fpace of a year, or a little more, when children have arrived at fuch a habit as to digeft other aliments, they may be weaned. But, at that time a large quantity and variety of food, and aliments of a hard digeftion, lhould be avoided. I have found nothing more ufeful for the prevention of the dileales of infants, than to give often to the nurfe and child, in a large quantity, infufions of herbs which lwceten the blood, made with water. To prevent the coagulation of the milk in the ilomach and duodenum, abforbent powders are extremely effica- ciou ; and l’ometimes gentle laxatives, if ncceffary, lhould be interpoled, by W'hich the injuries from coagu¬ lated milk are like wife in a great mealure prevented. See We an iNG. In f ant, in law, a perfon under the age of one and twenty years ; and before that age any deed or writing may be nulled ; be may purchafe without the confcnt of another, but at full age may wave or Hand to it, as he likes, as may his heirs. Coke on Littleton fays, ie£l. 405, that an infant fhall not bepunifhed till the age of 14, which he takes to be the age of dilcretion ; nor fhall the act of an infant be imputed to him. no not in cafe of high treafon, till this age : though others fay, that an infant eight years of age, or upwards, may commit ho¬ micide and he hanged for it, if by any other act it appear that lie had knowledge of good and evil; for here malitia fupplebit jetatem. At 14 he may, before a judge, choole new guardians, when he will, and conlent to marriaoe ; which laft a female may do at 12. Infant, alfo in Spain and Portugal, is an appel¬ lation attributed to the king’s fons, as infanta is to the daughters. INFINITE, that which has neither beginning nor end : in which fenle God alone is infinite. See God. Infinite is alfo ufed to fignify that which has had a be¬ ginning, but will have no end, as angels and human fouls. This makes what the fchoolmen call infinitum a partepojt ; as, on the contrary, by infinitum a parte ante , they mean that which has an end but had no beginning. Infinite, in mathematicks, are fuch quantities as are either greater or fmaller than any alfignable one, being the fame with indefinite or indeterminate, to which no certain limits are preferibed \ he do&rine of infinites has given occafion for manv dilputes ; but the true Hate of the cafe is this : So long as we realbn upon wrong fuppolitions, we mull never ex¬ pert to arrive at truth; hut the nearer our fuppolitions are to truth, the nearer will be the conclulion ; and If thefe iuppofitions be infinitely near the truth, the errors in the conclulion will be infinitely fmall, which being ap lall thrown out of the account, the conclulion will be the lame as if we had proceeded upon principles accurately true. This is the true rife of infinitely fmall quantities in all mathematical computations, and the true reafon for rejecting them, when the operation is over; but it may be I N F be reafonably demanded, How do we know that thefe ... finitely {mail errors in the conclufion arife from limilar errors in the premiles ? And the anfwer is, becaufe thefe two forts ol errors have fo mutual A dependence one upon another, that one cannot be made to vanifh, but the other will necelfarily vanifh with it. If it be further demanded. W hat the wrong fuppofitions are from which thefe infi¬ nitely fmall errors fpring ? I anfwer, in the flrft place, the fuppofmg magnitudes to have quantity, which in reality have none at all, but have entirely loft it, either by run¬ ning into infinity on the one hand, or into nothing on the other Thus, if we fuppofe the point D to actually coincide with the angular point C (plate XLI. fig. 3.) the line D C will not only comparatively, but abfolutely be equal to nothing, that is, it will be no line at all, nor can any ufe be made of it: but bv allowing the laid line to have fome quantity, though extremely fmall, or lefs than any that can be afligned, we tacitly fuppofe the point D not to be adlually in the angular point C, but infinitely near it. A quantity, after it is reduced to nothing, ceafes to be a quantity ; and if o have no quantity, neither can its re¬ ciprocal or any magnitude exprefled by it, be faid to have any : but the reciprocal of nothing lignifies a mag¬ nitude infinitely great in the ftri£teil fenfe of the word, and can no more be laid to have quantity than abfolute nothing can ; and to compare fuch ma nitudes in refpefl of their quantity, which a£tually have none, is contrary to the definition both of ratios, and the objcdl of propor¬ tion : nay, 1 know not whether the greateft part if not all the difficulties that are faid to attend the idea of infi¬ nity, and our inability to comprehend it, ought not ra¬ ther to be charged upon the abfurdity of comparing things together which in their own natures are incapable of all comparifon. It is faid indeed that infinite parallelopipeds, {landing perpendicular upon finite bafes, and upon the fame plane, are in proportion as their bales; which is true ; but this is not comparing magnitudes in refpeft of the quantity they have not, but in refpe£l of the quantity they have ; one of thefe parallelopipeds may be faid to be broader orthickerthan another, though nothigher. Thus, if r be any quantity whereof the multiplies 2 r and 3 r are taken, 2 r may be laid to be to 3;' as 2 to 3, whether r be finite or infinitely great or fmall; nay, though r fhould fignify an impoffible quantity ; as V — 1) V —&c. but then the quantity of the proportion does not depend "upon the quantity r, but upon the coefficients 2 and 3 : but I muft here take notice however, that if r be actually infinite, I mean in the ftridteft fenfe of the word, by 2 r and 3 r muft then be meant, not quantities twice or thrice as big as r, in the fame refpeft wherein it is infinite, but r twice or thrice taken, which is no way abfurd ; for if it be poffible for any one infinite quantity to exift, that is not every way infinite, it will be as poffible for others to exift of the fame kind, independently of the former : a parallelopiped, that is infinitely extended only as to its length, and that both forwards and backwards, may how¬ ever receive any addition, or be increaled or diminilhed in any proportion in relpe&of its finite dimenfions, but not in rcfpedl to its infinite dimenfions; and this is all the proportion I can conceive infinite quantities capable of. See Pbilofophical 7 ranfafliom, N°. 155. That lines or quantities may continually decreafe, and yet never become nothing, may be eafily fhewn in the following manner.—Let MCLK (Jig. 4.) be an inde¬ finite right line, P a given point out of that line ; from P draw PC B perpendicular toMCLK, and of any length at pleafure; from P draw P E, P F, P I, hcc. obferving al¬ ways to make the fegments D E, T F, LI, &c. of thofe lines conftantly equal to C B : from the points E, F, 1 , &c. let fall upon M C K the perpendiculars E G, F H, I K, &c. It is very evident that each following perpen¬ dicular is fhorter than any of the preceding ones; and it is as evident, that were the number of them ever fo great, the laft perpendicular would be of a finite length, becaufe Its correfponding hypothenufe does, bv the hypothefis, form a finite angle with the indefinite line MCL K, and docs alfo conftantly rife above it. Mathematicians, and more cfpecially thofe who under- ftand this fubjeft, are, generally fpeaking, referved enough upon it, and chufe rather to be deficient than redundant in their expreffions upon thefe occalions; not from any diffidence in their own principles, but knowing very well I N F how liable matters of this nature are to be drawn into disputes by fuch as lie upon the catch, and make it their chief bufmefs to oppofe the truths which they themfelves could never have diicovered, nor perhaps will ever be able to underftand. I n f 1 n 1 t e Series. See Sr r. i e s . IN FIN FFIV E, one of the moods that ferve fbr con¬ jugating of verbs, and exprefles things in a loofc indefi¬ nite manner, as docere, to teach. In moft languages ancient and modern the infinitive has a peculiar termination, as tmttsiv in the Greek, feri- bere in the Latin, ecrire in the French, ferivefe in the Italian, &c. In this the Englifh is defe&ivc, being obliged to have recourfc to the particle to, except when two or more infinitive moods follow one another. The ufing a number of infinitives fucccffively is a common fault in language ; but, where the infinitives have no depcndance on each other, they may be ufed ele¬ gantly enough. IN FIN FI V, the quality by which any tiling is de¬ nominated infinite. Finite 'and infinite are looked upon as the modes of quantity, and primarily attributed to things that have paits, and are capable of incrcafe or di¬ minution. by the addition or fubtra&ion of any the lealt part. Such aie the ideas of (pace, duration, and number. This idea wc apply to the iupreme Being primaiily, in refpeft of his duration and ubiquity ; more figuratively to his wifdom, power, goodneis, and other attributes which are properly inexhauftible and incomprehenfiblc. We have 110 other idea of this infinity but what carries with it fome refie£tion on the number or extent of the ads or objects of God’s power and wifdom, which can never be luppofed fo great, that thefe attributes will not always lurmount, though we multiply them in our thoughts with the infinity of cndlefs number. We come by the idea of infinity thus : Every one that has any idea of any ftated length of lpace, as a foot. &c. finds that he can repeat that idea, and join it to a third, and fo on, without ever coming to an end of his additi¬ ons. From this power of enlarging his idea of lpace. he takes the idea of infinite lpace. "And in the like manner we come by the idea of eternity. We arc carefully todiftinguifh between the idea of in¬ finity of fpace, and the idea of a lpace infinite. The fir ft is nothing but a fuppofed endlefs progrelfion of the mind over any repeated idea of fpace : but to have a&ually in the mind the idea of a fpace infinite is to fuppofe’the mind already palfed over all thofe repeated ideas of lpace, which an cndlefs repetition can never totally reprefent to it; which carries in it a plain contradidlion. 1 o make this plainer, the infinity of numbers eafily appears to anyone that reliefs on it; but, how clear foever this idea may be, there' is nothing yet more evi¬ dent than the abfurdity of the idea of an aftual infinite number. INFIRMARY, a place appropriated for the cure or nurfing of the weak and fickly. INT LAMM A I ION, lnjlammatio , ph legmon, in medicine, a dilorder fo called, as it produces effects limilar to thofe of fire. An inflammation is a preflure and attrition of the red arterial blood flagnating in the lmalleft canals, produced by the motion of the reft of the blood, thrown into violent and forcible commotions by means of a fever. Its feat is every part of the body in which there are reticular diftributions of arteries, or the origins of lymphaiick and arterial veflels. In the cure of an inflammation by refolution the fol¬ lowing intentions are to be purfued : 1. The farther in¬ jury of the veflels is to be prevented. 2. The injury already done them is to be removed. 3. Fluidity and mildnefs are not only to be reftored to, but alfo preferved in the obftru&ing matter. 4. Or, if this end cannot be obtained, it is to be forced back into larger veflels. The further injury of the veflels is prevented, lirft, bv removing or correa'ing the known produftive caufes of the inflammation ; and, fecondly, by lcfiening the im¬ petus of the arterial blood by means of venefeaion and purging. '1 he fecond intention is obtained in two manners, either by fo relaxing the obllruaed veflels, that they may tranfmit through their extremities the obftrufting molecules into the veins ; or by fo conftrifting the veflels by means of refrigerants, repellents, and aftringents, that I N G that the obftrufling matter may be repelled from the nar¬ row to the large parts of the veffels. But thefe refrige¬ rants, repellents, and aftringents are only lbmctim.es, not always beneficial. In flight inflammations they are often highly ferviceable, if applied in the beginning. But when the difeafe is of longer Handing, the inflam¬ matory obftru&ing matter impacted in the veflels is not capable of being fo eafily repelled. In this cafe relaxing medicines are of all others the mod proper. With thefe anodynes, or fuch medicines as allay pain may alfo be mixed. The fluidity of the obftru&ing matter is produced by attenuating and diluting it, and by reftoring the elaftick ofeiliations to the veflels. Point of INFLECTION. When a curve A F K (plate XLI. fig. 5.) is partly convex, and partly con¬ cave, to a right line A B or point B ; the point k divid¬ ing the convex from the concave part, or the end of the one, r.ad the beginning of the other, is called the point of inflection, when the curve being come to F, continues its courfe towards the fame parts; and the point of retro- grelfion, when the curve returns back again towards the place of its beginning. Let us fuppofe the curve A F K to have the right line A B as a diameter, and the ordinates P M, E F, &c. parallel to each other. Now if you draw the ordi¬ nate F E from the point F, and the tangent F L ; alfo another ordinate M P from the point M in the concave part A F of the curve, likewife a tangent M T ; then it is e.vident that, in curves having a point ot inflection, while the abfeifs AP conftantly increafes, the part A T of the diameter, intercepted between the vertex of the diameter A and the point T, where the tangent meets the diameter, does likewife increafe until the point P falls in E, after which it continually dccreafes ; therefore A T mull become a maximum A L, when the point P falls in E the point fought. In tliofe curves that have a point of retrogreflion, the part A T continually increafes, and the abfeiis A P till the point T coincides with L, and afterwards it conti¬ nually decreafes ; whence A E muft be a maximum, when the point T coincides with L. Now call A E, x ; E F, y ; then will ALr — —a-, and the fluxion of this will be y f- )X . fuppofing x invariable; which (being di- yy vided by x the fluxion of A E) muft be equal to nothing, or infinite : whence — 44 = o, or infinity; and fo mul¬ tiplying by yy, and dividing by — y, there comes out y—o, or infinite. Now with this laft expreflion, and the ge¬ neral equation of a curve, the point of inflection or retro¬ greflion F may be found : for the nature of the curve A F K being given, we lhall have a value of y in x, and putting that value into fluxions, with .v conftant, we fhall obtain a value ofj in terms of x x ; which being made equal to o, and afterwards to infinity, by means thereof, in either of thefe fuppofitions, we may find A E fo ex- prefled, that its correl'po'ndent ordinate E F lhall interfeCt die curve in the point of inflection or retrogreflion F. INFLEX Leaf, among botanifts, one whofe point bends inward towards the Item of the plant. INFORMER, a perfon that informs againft, or pro- fecutes another, upon any penal ftatute. INFORMIS, fomething irregular in its form or figure. INFUNDIBULUM, in anatomy, a finall conduit, fo called from its refemblance to a funnel, which pierces the dura mater upon the bafis of the fkull, and finks info the fubftance of the glandula pituitaria. The pelvis is the infundibulum of the kidnies. INFUNDIBULIFORM, a name given by botanifts to tliofe flowers whofe corollas are monopetalous and fun¬ nel-Ih aped, having a narrow tube at one end, and gradu¬ ally widening towards the limb or mouth. There are two kinds of thefe flowers, one the figure of a cone, and the other plain or flat, fomewhat like a faucer, and thence called hypocrateriform ; of the firft kind is bug- lofs, and of the laft form is turnfole, With many.other genera. INFUSION, in pharmacy, a method of obtaining the virtues of plants, roots, &C. by fteeping them in a hot or cold liquid. INGANNO, in mufick, is when.having done every Yol. II. No. 41. I N K thing proper for ending a cadence, a mark of filencs is placed inftead of the final, which the ear naturally ex¬ perts, and is deceived. See Cadence. INGOT, a mafs-of gold or filver, melted down and caft in a mould, but not coined or wrought. See Gold and Silv er. INGREDIENTS, in pharmacy, whatever Ample medicines enter the compofition of a compound one. INGRESS, in aftronomy, fignifies the fun’s entering the firft fcruple of one of the four cardinal figns, efpe- ciaily Aries. Ingress, Egress, and Regress, inlaw, words frequently ufed in leafes of lands, which fignifies a free entry into, a going out of, and returning from fonie part of the premifes leafed to another. INGROSSER, one who buys up great quantities of any commodity, before it comes to market, in order to raife the price. In’grosser alfo fignifies a clerk or perfon who copies records, deeds, or other inftruments of law, on ikins ot parchment. INGUEN, in anatomy, the fame with what is other- wife called groin, or pubes. INGUINAL, in anatomy, &c. any thing belonging to the groin. Hence, Inguinal Hernia is a hernia in that part called by furgeons bubonocele. IN H AR M O N 1 C A L R e l a t 1 o n , i n mufick, is much the fame with difeord. INHERITANCE, a perpetual right or intereft in lands, inverted in a perfon and his heirs. INHIBITION, a writ to forbid a judge’s proceeding in a caufe that lies before him. INHUMATION, in chymiftry, a method of digefting fubftances, by burying the veflel in which they are con¬ tained in horfe-dung or earth. See Digestion. INJECTION, in furgery, the forcibly throwing certain liquid medicines into the body by means of a fy- ririge, tube, clyfter-pipe, or the like. Anatomical Injection, the filling the veflels with fome coloured fubftance, in order to make their figures and ramifications vifible. INITIATED, in antiquity, a term chiefly ufed in fpeaking of perfons who were admitted to a participation of the facred myfteries among the heathens. See Mys¬ tery. INJUNCTION, in law, is a writ or kind of prohi¬ bition granted in feveral cafes ; and for the moil part grounded on an interlocutory order or decree, made in the court of chancery Or exchequer for flaying proceed¬ ings either in courts of law or ccclefiaftical courts. INJURY, any wrong done to a man’s perfon, re¬ putation, or goods. See Ass ault, Trespass, &c. INK, Atramentum , a black liquor generally made of an infufioii of galls, copperas, and a little gum-arabick. Compofition ofi common Black Ink.—‘" 1 ake one gallon of foft water, and pour it boiling hot on one pound of powdered galls, put into a proper veflel; flop the mouth, of the veflel, and fet it in the fun in fummer, or in win¬ ter where it may be warmed by any fire ; and let it Hand two or three days. Add then half a pound of green vi¬ triol powdered ; and having ftirred the mixture well to¬ gether with a wooden fpatala, let it ftand again for two or three days, repeating the flirting ; when add further to it five ounces of gUm-arabick difiolved in a quart of boiling water; and, laftly, two ounces of alum; after which, the ink fhould be ftrained through a coarle linen cloth for life.” Preparation ofi Red Writing Ink. — “ Take of the rafp- ings of Brazil-wood a quarter of a pound ; and infufe them two or three days in vinegar, which fhould be colourlefs, where it can be fo procured. Boil the infu¬ fioii then an hour over a gentle fire; and afterwards filter it, while hot, through paper, laid in an earthen cullepder. Put it again over the fire, and diflolvc in it, firft half an ounce of gum-arabick ; and afterwards of alum and white fugar, each half an ounce.” Preparation ofi Reel Ink from Vermillion. —“ Take the glair of four eggs, a tea fpoonful of white fugar or fugar- candy beaten to powder, and as much fpirit of wine : and beat them together till they be of the confidence of oil: then add fuch a proportion of vermilion as will pro¬ duce a red colour, fufficientlv ftrong ; and keep tile mix* E ■ lure I N O ture In a fmall phial or well-dopped ink-bottle for ufe. The compofition ihould be well lhaken together before it be uled.” Indead of the glair of eggs, gum-water is frequently vifed : but thin fize made of ifinglafs, with a little honey, is much better for the purpol'e. Sympathetick Ink, a liquor with which a perfon may write, without the letters appearing, till fome means be taken to render them legible. Of this kind are the glu- .tinous juices of plants, or any other thick and vifeid fluids, provided they have no remarkable colours them- felves; for being written on white paper, nothing will appear, till fome fine powder of any coloured earth is thrown over the paper, whereby the letters become legi¬ ble : the reafon of this is evident, as the powder flicks only to the letters formed by the invifible but vifeid liquor. Another fort of fympathctick inks are made of infu- fions, the matter of which eafily burns to a charcoal: thus, if a fcruple of fal ammoniack be dilTolved in two ounces of fair water, letters written therewith will be in¬ vifible till held before the fire; for the fal ammoniack being burnt to a charcoal, by a heat flrong enough not to fcorch the paper, the letters are thereby rendered vifible. Another fort of fympathetick inks are made of a folu- tion of lead in vinegar, and a lixivium of lime and orpi- ment; for if a letter be written with the former, nothing will appear: but to conceal the affair flill more, fome different fubjetl may be written above it, with a black ink made of burnt cork and gum-water; then, if a piece of cotton, wetted with the faid lixivium, be rubbed over the paper, the fentence that was vifible will difappear. and the invifible one, before written with the folution of lead, will be feen in its place very black and flrong. hidian Ink is a black pigment brought hither from China, which on being rubbed with water, diffolves, and forms a lubflance refembling ink; but of a confidence extremely well adapted :o the working with a pencil: on which account it is not only much uled as a black co¬ lour in miniature painting, but is the black now gene¬ rally made ufe of for all fmaller drawings in chiaro ob- feuro, or where the effedl is to be produced from light and fhade only. Printing Ink is made by boiling or burning linfeed oil till it is pretty thick, adding a little rofin to it, while hot, and then mixing this varnifh with lamp-black. INLAID-WORK. See Marquetry. INNATE Ideas, thofe fuppofed to be damped on the mind, from the fird moment of its exidence, and which it condantly brings into the world with it: a doc¬ trine which Mr. Lockehas abundantly refuted See I d e a . INN OCE hIT’sD a y .afedival oftheChrillian church, obferved on December 28, in memory of the maffacre of the innocent children by tire command of Herod, king of Judea; who being alarmed at hearing that an infant was born king of the Jews and imagining that his own kingdom was in danger, fent peremptory orders to put all the children in Bethlehem, and the adjacent country, to death. INNOMINATA Ossa, in anatomy, three bones, which together conrpofe the trunk of a human body. Thefe, though they form only a fingle bone in adults, are in infants three perfectly didinft bones, each of which has its peculiar name; the upper one is called the ileum; the anterior one, the os pubis, or os pedtinis; and the poderior one, the os pubis, or os ifehiunr. Thefe are joined by the intervention of a cartillage, as it were, in the middle of that fingular cavity called the acetabulum, and continue vifibly didinfl to the age of puberty , after which they coalefce, and form one entire bone fo perfectly, that there is not the lead vedige remaining that they ever were l'cparate. INNUENDO, a word that was frequently ufed in declarations of dander, and law pleadings, when thefe were in Latin, in order to afeertain a perfon or thing be¬ fore-mentioned ; but now, indcad of the word innuendo, we fay, meaning fo and fo. IN OCULATION, in medicine, theartoftranfplant- ing a didemper from one fubjefl to another, by incifion, pai ticularly ufed for engrafting the fmall-pox. See Pox. Inoculation, oi-Budding, in gardening, akind of grafting praftifed in the dimmer months on feveral kinds of done fruits, as peaches, neflarines, cherries, plumbs, apricots, &c. alfo upon oranges, jafmines, and I N S various other forts of plants. The operation is performed in the following manner : Provide youri'elf with a good fharp pen-knife, with a flat haft, adapted to raife the bark of the dock, to admit the bud ; and fome found bals mat, which Ihould be foaked in water, to increafe its drength, and render it more pliable; then having taken off' the cuttings from the trees you would propagate, you mud choofe a fmootli part of the dock, about five or fix inches above the fur- face of the ground, if defigned for dwarfs ; but if for dan- dards, they Ihould be budded fix feet aboveground. Then with your knife make an horizontal cut acrofs the rind of the dock, and from the middle of that cut make a flit downwards, about two inches in length, lb that it may be in the form of a T; but you mull be careful not to cut too deep, led you wound the dock; then having cut off the leaf from the bud, leaving the foot dalk remain¬ ing, you Ihould make a crofs cut, about half a « inch below the eye, and with your knife flit off the bud, with part of the wood to it: this done, you mud with your knife puli off that part of the wood which was taken with the bud, obferving whether the eve of the bud be left fo it or not; for ail thole buds which lofe their eyes in drip¬ ping, are good for nothing : then having gently railed the bark of thedock with the flat haft of vour pen-knife cies: to the wood, thrud the bud therein, oblerving'to place it fmootli between the rind and wood of the dock, cut¬ ting off any part of the rind belonging to the bud, that may be' too long for the flit made in the dock; and lb having exaflly fitted the bud to the dock, tie them clofelv round with bals mat, beginning at the under part of the flit, and fo proceeding to the top, taking care not to bind round the eye of the bud, which Ihould be left open. When your buds have been inoculated three weeks or a month, thofe which are frefli and plump, you may be lure are joined; and at this time you Ihould loolen the bandage, which, if it be not done in time, will injure if not dedroy the bud. The March following cut off the dock doping, about three inches above the bud, and to what is left faflen the lhoot which proceeds from the bud: but this mud continue no longer than one year; afrei which the dock mud be cut off dole above the bud. The time for inoculating is from the middle of June to the middle of Augud; but the mod general rule is, when you obferve the buds formed at the extremity of the fame year’s lhoot, which is a fign of their having fin idled their fpring growth. The fil'd fort commonly inoculated is the apricot, and the lall the orange-tree, which Ihould never be done till the latter end of Augud : and in doing this work, you Ihould always make choice of cloudy weather; for if it be done in the middle of the day, when the weather is hot, the lhoots will pcrlpire fo fail, as to leave the buds deditute of moidure. INORDINATE Proportion is where there arc tlnee magnitudes in one rank, and three others propor¬ tional to them in another, and you compare them in a different order. Thus, fuppole the numbers in one rank to be 2, 3, 9; and thofe of the other rank 8, 24, 36; which are compared in a different order, viz. 2:3: : 24: 36 ; and 3:9: : 8 : 24. Then rejedling the mean terms of each rank, you conclude 2:9: : 8 : 36. INQUEST, inlaw, fignifies an enquiry made by a jury, in a civil or criminal caulc, by examining witnefles. See Jury. 1 NQU 1 RENDO, in law, an authority given to one or more perfons, to enquire into fomethiag for the ad¬ vantage of the king. INQUISITION, in law, a manner of proceeding by way of fearch or examination ufed on the king’s behalf, in cafes of out-lawry, treafon, felony, fell-murder, &c. to difeover lands, goods, and the like, forfeited to the crown. Inquisition, in the church of Rome, a tribunal in feveral Roman-catholick countries, ercfled by the popes for the examination and punilhmeiit of hercticks. INQUISITORS, in law, perfons who have power by their office to make inquiry into certain cafes; as fheriffs, and coroners on view of the body. INROLLMENT, inlaw, is regidcring any lawful aft, as a datute 01 recognizance acknowledged, a deed of bargain and fale, Nc. in the roite of chancery, king’s bench, common pleas, or exchequer, at the buffings of Guildhall, London, or at the quarter-fcltions. INSCONSED. in th. nnktarv art, par: of an army that I N S that have fortified themfelves with a fconce or (mail fort, in order to defend fome pafs, 6cc. INSCRIBED, in geometry. A figure is laid to be inferibed in another, when all its angles touch the tides or planes of the other figure. INSCRIPTION, a title or writing carved, engraved, or affixed to any thing, to give a more diftinrt knowledge of it, or to tranfmit fome important truth to pofterity. INSECTS, Infefia, in natural hiftory, a fmaller fpe- cies of animals, commonly exfanguinous. INSERTION, in anatomy, the infinuation and clofe conjunrtionof thevetfels, fibres, mufcles, or membranes, with fome other part. Insertion, in gardening, denotes the inclonng a graft within the cleft of a tree. See Grafting. INSESSION, injejfio, infejfus , enedre, encatbifma , or femicupium, in medicine, a kind of half-bath inapioper decoftion of herbs, wherein the patient fits down to the navel. This ferves to eafe pain, foften the parts, difpel flatulent matter, and frequently promote the menfes. INSIPID, or taft elefs, that which has nothing pun-! gent in it to affert the palate, tongue, Sec. and excite the fenfation of tailing. INSOLATION, Infolatio , in pharmacy, a method of preparing certain drugs, &c. by expofing them to the rays of the fun, cither to dry, maturate, or fharpen them, as is done in vinegar, figs, Sec. INSOLVENT, denotes when aperfonhas not where¬ withal to pay his juft debts. INSPIRATION, Injpirath , the conveying certain fupernatural notices to the foul. This is fuch an over¬ powering impreffion made of any propofition upon the mind by God himfelf, as gives an indubitable evidence of the truth and divinity of it. Inspiration, in phylick, that part of refpiration, whereby the air is drawn into the lungs, and Hands con- tradiftinguilhed from exfpiration. I his admiffion of the air depends immediately on its elafticity, when the cavity of the breaft is enlarged by the elevation of the thorax and abdomen, and particularly by the motion of the dia¬ phragm downwards. This dilatation of the breaft does not draw in the air, though it be a condition abfolutely neceflary to infpiration, but it is an artual intrufion ol the air into the lungs. INSPISSATING, Inspiss ation, or Covdenfation in pharmacy, the reducing a liquor to a thicker con¬ fluence by evaporating the thinner parts. INSTALLMENT, the inflating a perfon in any dignity. It chiefly denotes the induction of a dean, pre¬ bendary, or other ecclefiaftick dignitary, into the poi- feflion of his proper feat in a cathedral church. This i: fometimes called inftallation. Installment, likewife denotes the ceremony, whereby the knights of the garter are placed in their rank in the chapel of St. George at Windfor. INSTANT, fuch a part of duration, wherein we perceive no fucceffion, or while one idea paffes in the mind. The fchoolmen diftinguilli three kinds ofinftants n temporary, a natural, and a rational inftant. Temporary Instant, a precile part of time immedi¬ ately antecedent to another, as the laft inftant ot a day immediately precedes the firll inftant ot the following. Natural Instant, or a priory of nature, which ob¬ tains in things that are fubordinate in afting, as flrft and fecond caufes, caufes and their efterts. Rational Inst ant, a point which the underftanding' conceives to have been before fome other inftant, and this with regard to the determinations ot God Almighty but, as there was no real inftant when God had not formed any determination, this inftant is called a ra¬ tional inftant, by way ot oppofttion to an inftant o time. INSTAURATIQN, the re-eftablilhing a church, o the like, in its former ft ate. INSTINCT, Injiinflus , a natural fagacity with which animals are endued, being in them fomething analogous to what reafon is in mankind. By virtue ot this inftinrt they know what is beneficial for them, defend them felvcs, and propagate their fpecies. . INSTITUTES, bjittutn. in the civil law, a book containing the principles of the Roman law, being.the laft part of the corpus juris civiiis. They are a turn marv of the whole body of the civil law, compofed by l N T Trebonianus, Theophilus, and Dorotheas, by order of the emperor Juftinian, for the ule ot young (Indents. Institutes, likewife denote a lyilem ot rules in any fcience. INSTITUTION, in general, the art of ordaining or eftablithing any thing. Institution, in law, the art of a bifhop, or one commiffioned by him, whereby a clerk is inverted with the fpirituahties of a rertory or vicarage. Institutions, a lyftem ot the elements or rules of any art or fcience. INSTRUMENT, that which is fubiervient to a caute for producing any effort. Instrument, inlaw, implies fome publick art, or authentick deed, by which any truth is made apparent, or any right or title eftablithed in a court of jufticc. INSULATED, Infuiatus , in architcrturc, an appel¬ lation given to fuch columns as Hand alone, or free from any contiguous wall, See. like an ifland in the fca; whence the name. INSULT, Injultus , in medicine, fignmes tlic accefs of the paroxyfm of intermitting difeafes. See Inter¬ mittent and Paroxysm. Insult, in the art of war, the lame with affault. See Assault. IN SUPER, over and above, a term ufed by the audi¬ tors of the exchequer in their accounts; thus, where a certain fum is charged to a perfon 5 s account, they lay, fo much remains, infuper, to the accountant. INSURANCE, or Assurance, in law and com¬ merce, a contrart or agreement whereby one or more perfons, called infurevs, affurers, See. oblige themfehes to anfvver for the lofs ot a fhip, houfe, goods, Sec.~ in confideration of a premium paid by the proprietors of the things infured. Iniurances are of various kinds, as on (hips or parts of (hips, on merchandize fingly, and on lhips and goods jointly; and thefe are again branched out to run either for a time ftipulated, or to one Angle port, or out and home, with liberty to touch at the different places men¬ tioned in the policy. Iniurances may likewife be made on goods fent by land, or by hoys, See. on rivers ; and this is frequently done, more especially on jewels, antT other things of great value. They may likewife be made on (hips and goods, loft or not loft, which is commonly done when a (hip has been long raiding; and thole vvorus being inferted in the policy, oblige the underwriters to pay,"though the (hip was loft at the time of making fuch infurance, except the affured had then certain knowledge of the drip’s being wrecked; in which cole the fubferip- tion (hall not oblige, as this is accounted a mere fraud. INTACTA, in conicks, an appellation fometimes gi veil to the afy mptotes. See A s y m p t o t e . INTAGLIOS, precious (tones on which arc engraved the heads of great men, inferiptions, and the like; fuch as we frequently fee fet in rings, feals, Sec. INTAKERS, a fort of robbers in the north of Eng¬ land, who formerly received the booty which their con¬ federates the out-partners, brought from the borders of Scotland. INTEGER, in arithmetick, a whole number incon- tradiftinrtion to a frartion. INTEGRAL, or Integrant, in philofopliy, ap¬ pellations given to parts of bodies which are of a flmilar ftature with the whole: thus tilings of iron have the fame nature and properties as bars ot iron. Bodies may be reduced into their integrant parts by triture or grind¬ ing, limation or filing, folution, amalgamation, Sec. "INTENDMENT, in law, is the intention, defign, or true meaning of a perfon or thing, which frequently fupplies what is not fully exprefled : but though the in¬ tent of parties in deeds and contiv.rts is much regarded by the law, yet it cannot take place againft the rules of law. Intendment of Crimes ; tins, in cafe of treafon, where the intention is proved by circumftances, is pu- nilhable in the fame manner as if it was put in execu¬ tion. So if a perfon enter'a houfe in the night-time, with an intent to commit burglary, it is felony; alfo an affault, with an intent to commit a robbery on the high¬ way, is made felony, and punilhed with tranfportation. INTERCALARY, Jntera.hris, in chronology, an appellation civen to the odd dav inlerted in leap-year, ‘ which I N T which was To called from calo, calare, to proclaim, it being proclaimed by the priefts with a loud voice. INTERCEPTED Axi s, inconick fedtions, thefame with abfcille. See Abscisse. INTERCESSION, in Roman antiquity, the adl ofj a tribune of the people, or other magiftrate, whereby he inhibited the adt of another magiftrate. The tribunes had an unlimited power to interceed or controul the adts of every other magiftrate, who could only inhibit the adls of inferior magiftrates. INTERCOLUMNIATION, in architecture, de¬ notes the fpace between two columns, which is always to be proportioned to the height and bulk of the columns. Some authors have laid down the following proportions for the intercolumniations, at a medium, viz. in the Tufcan order, it muft be equal to four diameters of the column below ; in the Dorick, to three; in the Ionick, to two; in the Corinthian, to two and a quarter; and in the Compoftte, to one and an half. INTERCOSTAL, in anatomy, any thing between the coftiu or ribs; as the mufcles, nerves, &c. INTERDICT, an eccleftaftical cenfure, by which the church of Rome forbids the performance of divine fcrvice in a kingdom, province, town, &c. This cenfure has been frequently executed in France, Italy and Ger¬ many ; and in the year 1170, pope Alexander III. put all England under an interdidt, forbidding the clergy to perform any part of divine fervice, except baptizing of infants, taking confeftions, and giving abfolution to dy¬ ing penitents. But this cenfure being liable to the ill confequences of promoting libertinifm and a neglcdt of religion, the fucceeding popes have very feldom made ufe of it. There was alfo an interdict of perlons, who were deprived of the benefit of attending on divine fervice. Interdicts, in the Roman law, certain formulae of words, by which the praetor, when the pofteftion of any thing was contefted, forbad or ordered fometliing to be done with it, till the property lliould be legally de¬ termined. Of this there were three kinds, prohibitory, reftitutory, and exhibitory. Prohibitory Interdicts, by which the judges forbad any one vexing another in the poflelfion of what legally belonged to him. P,eJiitutory Interdicts, by which the judges ap¬ pointed any one, who had been driven out of his eftate, to be reinftated, before his right was legally alcertained; and this was the fame with reintegrant. Exhibitory Interdicts, by which any thing in dis¬ pute was ordered to be exhibited, as a teftament, &:c. INI JLRDIC1 ION of Fire and TVater, in antiquity, a fcntence pronounced againft fuchas were for fome crime to be banifhed. By thus giving order that no body Ihould receive them, but deny them fire and water, they were condemned to a civil death, and this was called le- gitimum exilium. INTEREST, a fum of money which is reckoned for the loan and forbearance of fome other fum lent for, or due at, a certain time, according to a certain rate in the hundred pounds. The fum lent or forborne is called the principal, becaufe it produces the intereft, or from which the intereft is reckoned. Intereft is either ftmple or compound. Simple Interest, is that which is paid for the loan of any principal or fum of money lent out for fome time at any rate per cent, agreed on between the borrower and the lender ; which, according to the laws of England, ought to be 61. for the ufe of 100I. for one year, and 12I. for the ufe of 100I. for 2 years. And fo on for a greater or lefs fum proportionable to the time propofed. There arc feveral ways of computing, or anfwering queftions about ftmple intereft as by the ftngle and double rule of three; others make ufe of tables compolcd of fe¬ veral rates per cent. But we fhall lhew that all computations, relating to ftmple intereft, are grounded upon arithmetical pro- grelfion ; and from thence raife fuch general theorems, as will luit with all cafes. In order to that, r P —any principal or fum put to intereft. j t ^ K = the ratio of the r ic per cent, per annum. ' S fzarthetimeofthepriiifpaPscontinuingatintereft. C A = the amount of the principal and its intereft. Note. The ratio of die rate is only the ftmple intereft I N T of il. for one year, at any given rate; and it is tins* found : Viz. 100 : 6 :: 1 : 0,06 =the ratio at 6 per cent. per : 1 : 0,07 =the ratio at 7 per cent. Ac. 7,5 :: 1 ; 0,075 —the ratio at 7 and 100 : annum. Or 100 : 7 : Again 100 : per cent. And, if the given time be whole years, then /=the number of tliofe years : but if the time given be either pure parts of a year, or parts of a year mixed with years, rhofe parts mull be turned into decimals, and then t~ tliofe decimals, &c. Now the common parts of a year may be eafily turned or converted into decimal parts, if it be confidcred, f Day is the T ^ T part of a year=o,OQ2’74. That ones Month is the 7 L part of a year=o, 08 53332. L Quarter is the {th of a year =0,25. Half a year=0,5 and three quarters =20,75. Tliefe things being premiled, we may proceed to railing the theorems : Let R = the intereft of il. for one year as before. Then 2 R=the intereft of il. for 2 years. And 3 R = the intereft of il. for 3 years. 4 R = the intereft of il. for 4 years, and fo on for any number of years propofed. Hence it is plain that the ftmple intereft of il. is a feries of terms in arithmetical progreffion increafing, whole firft term and common difference is R. And the num¬ ber of all the terms is /. Therefore the laft term will al¬ ways be /R = the intereft of il. for anv given time Bo¬ nified by /. Then * s 5° t ^ lc * ntcre ft of il. fo is any prin¬ cipal or given fum to its intereft. That is, il: