' - .... . ' THE LIBRARY OF THE UNIVERSITY OF CALIFORNIA LOS ANGELES A VOLUME o P LETTERS FROM Dr. BER. K'ENHOUT TO HIS SON AT THE UNIVERSITY. CAMBRIDGE, Printed by J.ARCHDEACOK Printer to the UNIVERSITY 5 For T. CAD ELL, London. M D C C X C. TO THE RIGHT HONORABLE THOMAS, LORD VISCOUNT WEYMOUTH, THIS VOLUME IS INSCRIBED BY HIS LQRDSHI P'S FAITHFUL,, HUMBLE SERVANT. THE AUTHOR. PREFACE. THESE letters were written partly for the writer's amufement, but princi- cipally with the defign of introducing the young fre/Jj-mar\y to whom they were ad- dreffed, to an early acquaintance with the elements of the fciences he was about to cultivate: they were not defigned, in any degree, to fuperfede, or render lefs necefTary, theinftrucYions of his college-tutors ; rather, on the contrary, to facilitate the cultivation, by clearing the furface of its indigenous weeds, and thus preparing the frefh land for the reception of the plough. Young minds naturally incline to frivo- lous diffipation ; they cannot continue long inactive; it feems therefore neceflary to al- lure them to rational purfuits, before tri- fling becomes a habit. A faftidious examiner, will, in thefe epif- 'tles, find fufficient matter for criticifm; but, I hope, he will allow me to plead the privi- lege of that inattention to abfolute precifion and methodical arrangement, which, in fa- miliar ( a ) miliar letters, it were unjuft, and perhaps improper, to require. The variety of fub- jecls on which I have indulged my fpecula- tions, may make the volume appear a maze, but, I truft, not without a plan ; a plan of which no judgement can be formed from the few pages contained in this volume. The fubjects are frequently varied, on pur- pofe to relieve the attention, and to avoid the formality of a fyftematic treatife. I have prefumed, in fome parts of thefe epiftles, to cenfure the prefent fyfrem of education in both Univerfitiesj but I have alfo acknowledged them, in their prefent ftatc of imperfection, equal to the produc*- tion of very learned men : neverthelefs, the entire fyflem is too obvioufly Gothic to ef- cape the ridicule of ftrangers, who vifit Ox- ford and Cambridge with the idea, that the Ecclefa Anglicana is a reformed Church, and that thefe formal feminaries are appropriat- ed to the education of nobility, of gentle- men, ftatefmen, lawyers, phyficians, and divines. In the botanical letters, I may be accufed of pedantry in too frequently larding the lean earth with Latin quotations 5 but the reader muft not forget the age and recent ftudies ( Hi ) ftudies of him to whom they were addreflecl, and that nothing fo effectually fixes a new idea in the mind, as attaching it to an old one. Thofe who, in the perufal of this volume, expect to find amufement, will probably be disappointed: if it prove in any degree, in- ftructive to young ftudents, the defigu of its publication is anfwered. I muft now beg the reader's indulgence whilft I expostulate a little with a fraternity of periodical critics, who afTume the title of Analytical Reviewers, relative to a late pub- lication of mine, entitled Synoffis of the Na- tural Hijlory of Britain, &c. Thefe critics, or rather the individual who did me the honour to review that book, after allowing it fome merit, writes thus " In the vege- table kingdom, the author juftly acknow- ledges the affiftance he had from the works of Hudfon, Lightfoot, Curtis, and Wither- ing, ir oft of vvhofe plants he has adopted, rather too implicitly, for not one of their errors, even the moft notorious, is corrected." The accufation may be juft. Poffibly I may have depended too implicitly on what I believed to be fubftantial authority j but furely it was incumbent on the reviewer ta prc- ( . * ) prevent the propagation of thefe errors, by a fpecirlc charge. This fort of general cri- ticifm, is, in the highefl degree, illiberal, becaufe it can anfwer no purpofe, fave tha v t pf depreciating the book. In the prefent inftance I was thruft into the condemned-hole with four eminent, very eminent, botanifts. Such company might have rendered the dungeon tolerable: but ? coniidering myfelf as the instrument of their condemnation, I thought myfelf obliged to juftify them if it were in my power. With this intention, I wrote to the publifher of the Analytical Review, requeuing, that the writer of the article in queftion would do me the favour, to point out a few of the notorious errors, which he had diipovered in the Synopfc' t errors which, ijotwithftanding their notoriety, had eluded the obfervation of the other Reviews; errors which, with a view to the greater accuracy of a future edi- tion, I fincerely wifhed to find, but which I had fought for in vain. To this requeft I received no anfwer, either privately, or in, any of their fubfequent publications. LET- LETTERS, &c. LETTER I. 1789. "All the world is a ft age ^ And all the men and 'women meerly players : rfhey have their exits and their entrances, And one man in his time plays many parts, His atfs being fe^en ages." I NEED not tell you, that thefe lines begin the admirable fpeech of J aques in the fecond aft of Shakefpear's As you like it. Thefe feven ages are, that of the infant, the fchool-boy, the lover, the foldier, the juf- tice, the pantaloon, and fecond childhood. This divifion is poetically juft; but it is not generally applicable. The three material epockas in the life of a man liberally educat- A ed, ed, are his admiffion at a grammar- fchool, his matriculation at the univerfity, and his departure thence. Thefe three periods, like the three primitive colours, are diftinftly marked. Shakefpear's feven ages refemble Sir Ifaac Newton's feven prifmatic tincls, four of which are intermediate (hades, pro- duced by the mixture of the primitive red, blue and yellow. You, my dear boy, have played your part in the firft of thefe three a6ls of the great drama of life; an,d I hope your performance hath been fuch as to be no difgrace to the ftage on which you appeared. In this aft you have fpent eight years of your terref- trial exiftence, with all the advantages of a public fchool. If it be true that, from the age of ten to eighteen, the mind is moft capable of permanent impreffions, it were rational to expect that a young gentleman, thus educated, fhould enter the univerfity pofTefled of all the learning necefiary to con- flitute the foundation of his future (Indies. The public fchools, in this kingdom, pro- fefTedly, teach nothing but the Greek and Latin languages ; and even of thefe, at the expiration of feven or eight years, many of the lads have acquired a very fuperficial know- ( 3 ) knowledge. They may perhaps be able to conftrue a few pages in the books that have been put into their hands ; but are totally loft if you try them in a Greek or Latin author which they have never feen. Would not one be hence naturally led to imagine, that thefe two dead languages are very diffi- cult to learn? Yet, you have the plea- fure to know a young lady to whom Latin and Greek are perfectly familiar; who Is likewife an arithmatician, an algebraift, a geometrician; plays the harpficord very finely, fmgs well, dances in a fuperior ftyle, and is, in (hort, with all her learning, miftrefs of every female accomplishment. Now, though I am ready to acknowledge, that this fingular accumulation of acquire- ments may, in a great degree, be afcribed to a fuperiority of capacity, it demonftrates, never thelefs, that wonderful effects may be produced by a proper mode of inftruction. The queftion, why boys learn fo little during feven or eight years continuance at a public fchool ? is not difficult of inveftiga- tion. Half that period is confumed in va- cations and fmgle holidays. It fhould feem therefore, that in our eftimate of the quantum qf learning, we muft reduce the eight years A 2 to ( 4 ) to four; but this were a falfe eflimate; for, from thefe four years, we muft fubtraft the time required to regain what has been ab- folutely forgotten and loft during the feveral total ceffations from learning; and, on a very fair computation, this confideration will deduct two years from the four : fo that our eight years are reduced to two; and I will venture to affirm that, under a better fyftem, boys might, in two years, be taught all they ufually learn, at any of our public fchools, in eight. There is another material impediment in the progrefs of a boy at a public fchool. I mean the gothic cuftom of fuffering the un- der boys to be the fervants, the flaves, of the upper. Regardlefs of the cruelty of fubjefting a child to the irrational caprice of a lad of fifteen; regardlefs of the injury he muft fuftain in being conftantly depriv- ed, by the mandates of his tyrannical maf- ter, of the fleep which nature, at that age particularly, requires; regardlefs of that ig- nominious habit of fervility which this in- famous fyftem muft neceflarily induce; re- gardlefs, I fay, of thefe confiderations, the menial fervices to which cuftom obliges him to attend, leave him little or no time for appli- ( $ ) application to his book. What is the con- fequence? He is conftantly flogged for neglecl: of that which it was not in his power to execute. There is no appeal. He dares not complain; that would but in- creafe his fufferings. He fubmits to his hard fate, and, in refpecl to learning, his four firft years are almoft a total blank. But I have filled my paper j Adieu 1 LET- ( 6 ) LETTER II. I ME AN, in Come part of this letter, to re- fume the fubjecl with which I concluded my laft; becaufe I feel myfelf peculiarly in- terefted in the caufe of thofe defenfelefs children, who, whilft they continuey^g-j in a public fchool, are condemned to greater hardfhips than the African flaves whom it is fo much the famion to commiferate; becaufe I wifh to keep alive in your memory thofe impreflions which it may be ufeful to future times that you (hould remember , and becaufe I would have you perfectly compre- hend the reafon, why boys from a public fchool generally know fo little when they are firft fent to the univerfity. You have too much good fenfe to con- ilrue what I have faid into a diflatis fa&ion at your ignorance of things which it is im- poffible you fhould know. On the con- trary, I rather wonder that, under fuch cir- cumftances, you have acquired fo much knowledge of Latin and Greek: Never- thelefs, if you purfue your claffical ftu- dies, you will foon difcover, that you have ( 7 ) have not yet advanced much farther than the portal to claflical erudition. The dead languages are nothing more than the external fteps to the temple of li- terary Fame. A mere pedagogue may con- {true literally every line of Homer, Virgil, Horace, Terence, Cicero, Tacitus, and yet be as ignorant of their real beauties as was Jerediah Buxton of Garrick's. excellence, when, during the performance of the play> he attended only to the number of words fpoken by the afton The language of the celebrated authors I have mentioned, as lan- guage merely, merits, I acknowledge, fome attention j becaufe a perfect acquaintance with the Greek and Latin languages will enable you to underfland and to improve your own. Neverthelefs, if thefe claflical authors poffdTed no merit beyond the me- chanical beauty of verbal arrangement and harmony of numbers, they would ill deferve the time and labour they require. The ftrange cuftom in our public fchools, which conftitutes the under boys fervants to the upper, is fo exceedingly cruel and unjuft, that one cannot help being furprifed at its continuance to the prefent enlightened period of human fociety, when fo many of A 4 the ( 8 ) the abfurdities of our progenitors have been abolifhed. But the cruelty and injuftice of this cuftom are not the only arguments in favour of new regulations. This early fub- ferviency and fubfequent defpotifm, muft eventually prove infinitely prejudicial to fo- ciety. A boy who, from the age of ten to fourteen, hath been compelled to fubmit to a degree of fervitude more irkfom and hu- miliating than that of his father's lowefl domeftic; who is taught, by example, that he muft fuffer every fpecies of impofition and cruelty without complaint; that his books, his trinkets, and even his apparel, are the property of the boy he calls his mafter: fuch debafement, I fay, by thus early bend- ing the mind below the dignity of an Eng- lifh gentleman, muft infallibly prepare him for fubmifiions inimical to the conftitution of his country. He gradually rifes to the upper fchool. He then becomes a tyrant in his turn, and thefe habits of tamely fub- mitting to the mandates of his fuperiors, and of capricioufly tyrannizing over thofe beneath him, can hardly fail to form a truly deteft- able character. But it were unjuft hence to infer, that every gentleman educated at our great public fchools is a compound of (lave ( 9 ) Have and tyrant. There are many examples of the contrary. The late King of Pruflia, without any ad- vantage of education, was a great General, a consummate Politician, an acute Philofo- pher, a good Poet and a polite Scholar, even without any knowledge of the dead langua- ges. In like manner, our immortal Shake- fpear, without education, was doubtlefs the firft of all dramatic poets. It appears there- fore, that the characters of men are not in- variably caft in the mould of education, and that even a total want of it cannot pre- vent fuperior intellects from rifmg above the common level of mankind. Of this truth there cannot be a more fingular ex- ample than the prefent father of the Medi- cal faculty in the Univerfity of Edinburgh. Dr. Cullen I have always regarded as one of thofe rare beings, whofe intuitive rays of understanding penetrate the clouds of time- fanclioned erroneous opinions, even without the labour of formal invefligation. But thefe are fingular examples. Man- kind, in general, are the creatures of tuition and habit; we may therefore fairly conclude, that a mixture of fervility and imperiouf- nefs will generally mark the character of young young gentlemen educated at Weftminfter, Eton or the Charter Houfe; and hence it is furely incumbent on every pupil of thefe fchools, carefully to examine his ac- quired propenfities, and to correct the evil before habit fhall have rendered it an inde- lible feature is his character. Machiavel, the famous, the infamous, Italian politician, depended fo much on the effe6t of cuftorn^ that he advifes princes who wifh to remove their opponents by aflaffination, to employ none but fellows whofe hands are already ftained with blood. He reafoned from a juft knowledge of mankind. In fuffering children to torture flies, we fow the feeds of cruelty, which, like the parafiticai Ivy, will grow up with the faplen and cling to every branch. You will in the courfe of your ftudies at the univeriity neceflarily become acquainted with Locke's EJJay on Human Under/landing. He was of opinion that we are born with- out ideas, and confequently that all ideas arc impreflions on the brain from external objects, received and communicated by our fenfes* If this be true, we are entirely the creatures of education, and the difference of character between, one boy and another, edu- ( II } educated at tliefame fchool, muft depend on their different capacity, or aptitude to re- ceive and retain the fame impreflkms. Ha- bits, therefore, of fervility and fucceffive ty- ranny, will contaminate the difpofition of one youth more than another; but every young gentleman emerging from a public fchool, mould examine his difpofition with miftruft. " Probably (he fhould fay to him- felf) from my early habits of fervility, I am too much inclined to kneel to my fuperiors ; and, in confequence of my late defpotic command, I am difpofed to tyrannize over my dependents; I am pofitive in my opi- nions, and too impatient of contradiction." You have read, I dare fay, that when So- crates was interrogated concerning his vaft knowledge, he anfwered that the chief of what he knew was that he knew nothing. Sir Ifaac Newton thought fo humbly of his fuperior abilities, that he conftantly afcribed his wonderful difcoveries folely to applica- tion, which he faid, was in every man's power. The great Locke entitled his ad- mirable tfreatife on Human Underftanding, merely an Effay. From thefe examples, we may rationally conclude, that arrogance makes no part of the character of a great man; man ; that, in purfuit of knowledge, alps on alps arife before us ; that the profpect ex- tends in proportion to our elevation; and that when we have gained the fummit of the mountain, the expanfe of fcience Is bounded only by the univerfe. From this elevation, let us now look back upon yon fpruce young gentleman at the bottom of the hill. He has juft left the fchool which you fee at a diftance in the valley. The moment he had fhook hands with his fchoolfellows, he runs into a bar- ber's (hop, and, with a manly importance, fits down to have his no-beard fhaved off, and his graceful ringlets, bound ridgedly up in the form of a carrot, powdered and perfum- ed 3 his leathers up to his ribs, blue (ilk {lockings, harnefs buckles and a club in his hand, he begins his journey towards the temple of Fame. He miftakes the mountain before him for a fmooth plane, and, per- fectly confident in his acquired momentum , he expects to roll on with the rapidity and cafe of a Phaeton on the turf. Alas! he {tumbles at the firft ftep. He meets, as he afcends, with difficulties which he did not expect. His refolution fails. He fickens at the profpecl before him, and never advances a (in- ( 13 ) a fingle ftep farther. So ends the progre& of far the greateft number of ftudents at the univerfity. Indolence, evil habits, and fafhionable diffipation, are the univerfal im- pediments to ufeful knowledge and rational acquirements. That you may profit by the contemplation of this picture, is the ardent wifh of, dear Charles, Your, &c. L E T- LETTER III. IN my two former letters I have endea- voured to find a reafon, why boys, edu- cated at any of our public fchools, come to the univerfity totally ignorant of every thing, except a little Greek and Latin : and that I might let them down as gently as I pofiibly could, I have, and I think juftly, afcribed their want of knowledge to a gothic fyftem of Inflrudlion. The dead languages are doubtlefs the foundation of modern eru- dition -, but certainly more, much more might be acquired in the courfe of feven or eight years, if more than half that time were not facrificed to cuftom. It is indeed very extraordinary that, in difcarding the abfurdities of the Romifh creed and reli- gious ceremonies, we fhould have retained fo much of the ancient mode of education, both in our fchools and univerfities. Perhaps I am not juftifiable in exciting in you an unfavourable idea of the mode of education eftablifhed in the univerfity of which you are become a member. But I now ftart the fubjeft, to prevent your fud- denly denly drinking the poifon of difguft before you are provided with an antidote. In the univerfity of Cambridge, though claffical learning be not neglected, yet ma- thematical ftudtes are particularly enforced. A young gentleman intended for no profef- fion, who fpends a few years at the univer- fity only becaufe he is yet too young to make the tour of Europe, cannot eafily be perfuaded that the moft perfedl knowledge of Euclid's Elements can ever be of any ufe to him: he therefore applies reluctantly, or not at all, to the ftudy of a fcience from which he can receive no advantage. Thofe who are defigned for Law, Phyfic or Divi- nity, are equally at a lofs to apply mathe- matics to their feveral profeffions. Very true: mathematical knowledge is not im- mediately applicable to Law, Phyfic or Di- vinity; neverthelefs it is indirectly connect- ed with, and fundamental to, all fcience. It neceflarily induces a habit of reafoning juft- ly; it accuftoms the mind to rational inve- tigation and intenfe thinking. Now, in- tenfe thinking, without which you mult always remain on the furface of knowledge, is, to common minds, an occafional and irkfome exertion > but, to a mathematician it it is habitual and eafy: in all fubjefts of difficulty therefore, a mathematician has an evident advantage; his conceptions will be more diftincl; his deductions more accurate^ and his conclufions confequently more juft. There is yet another very ftrong recom- mendation to mathematical ftudies. I mean amufement. Exclufive of their univerfal utility, you will find them infinitely enter- taining. Few pleafures are equal to that of folving a difficult problem. Comply there- fore with the habits of the univerfity ; apply yourfelf ardently to the rudiments of ma- thematical knowledge, and look forward with confidence to the reward of your la- bour. But, before you proceed, I muft cau- tion you againft that fatal cm bono? which being a queftion not always eafily anfwered, is often confidered as an argumentum crucis againft the application to a fcience the uti- lity of which is not immediately obvious. In this turbulent fea of human life, we fee but a very few leagues before us. Sagacity and experience, our two heft telefcopes, dif- cover no land a-head; but that is no proof .that we may not, before the next glafs, fall iin with an ifland or continent. Univerfal knowledge is far beyond the reach of hu- man ( 17 ) man capacity; but fcience is the falutary food of the human foul, and fhould there- fore be cultivated for its own fake, totally f-Megardlefs of its ufeful application. We are diftinguifhed from the brute creation only in proportion to our mental acquirements, and furely every intelligent being would wifli to remove himfelf as far as poffible from the brute creation. Young men are naturally vain and pofi- tive; dictatorial and dogmatical in their opinions, becaufe they have not learnt to reafon juftly, and becaufe they are unac- quainted with the arguments by which they might be refuted : and it frequently happens that they are confirmed in their errors by the contemptuous filence of Learning and Experience. I fpeak of young men in ge- neral. You have certainly too much pene- tration not to perceive the abfurdity of ju- venile arrogance. 1 dwell upon this fubjecT:, becaufe this arrogance is an infuperable ob- flacle to all knowledge. A young man, fortunately infpired with an enthufiaftic defire of knowledge, will be- gin by a fcrupulous inveftigation of the na- ture and degree of the learning which he brings to the univerfity. Probably he will B dif- ( '8 ) difcover that he knows lefs, even of vulgar arithmetic, than a fhopkeeper's apprentice, and has lefs knowledge of the world than a gentleman's Valet de Chambre. This may poflibly be confidered as a very humiliating reflexion to a fpruce young academician; it is true neverthelefs ; and it is not only true, but the confcioufnefs of it is the only pedeftal to his future pillar of Fame. He that does not build upon humility will ne- ver rife to diftinction. Arrogance is dif- gufting even in thofe who have moft reafon to be proud ; what then muft it not be in thofe who have no pretenfion to eminence? Be not therefore afhamed to fay with So- crates, All I know is. that I know nothing. What is human knowledge? What are its objects? They are Arts or Sciences. Arts I confider as manual, mechanical, ope- rations : they are corporal attainments. Sci- ences, on the contrary, are more immedi- ately objects of the mind. You will find fome difficulty in drawing a flraight line between them, becaufe moft arts require fome degree of Science : neverthelefs, by the .help of an example or two, we (hall pofli- bly be able to feperate the two ideas, fo as to keep them tollerably diftincT:. Mufic, ( 19 ) Mufic, for example, is an art, a liberal art. Cramer in executing a difficult concerto, whether of his own compofition or not, is a wonderful artift; but refpe6ling his com- pofitions, or his cadences, when really ex- temporaneous, or invented, he ranks with men of fcience. In like manner, a painter, who does nothing more than copy objects before him, is a mere artift: he is a man of fcience only in proportion to his difplay of his knowledge of Nature. A poet may alfo be confidered as a mere artift, when his fole merit is the accuracy of his verification. When you have leifure to confult the writ- ings of philofophers, particularly Ariftotle and his followers, you will find that they have fo perplexed themfelves in their difi- nition of Arts and Sciences, as to render it impoflible to diftinguifh one from the other. The difinition of Arts, which I have given you above, may be,ftricl:ry, applicable to me- chanical Arts only: this however, is fuffi- cient for our prefent purpofe. 1 am, dear Charles, &c. B 2 LET- ( 20 ) LETTER IV. I CONCLUDED my laft letter with a concife difcremination of Arts and Science, which together comprehend the objects of human intelligence, and confe- quently the objects of your future applica- tion. The former are, at prefent, entirely out of the queftion. Let us therefore take a general view of the latter. The Sciences, with which you have at this time any concern, are Arithmetic, Geometry, Logic, Rhetoric, Morality, and Revelation, as a branch of Theology. To thefe will be ad- ded, a continuation of your Claffical ftudies, with fome attention to Hiftory. Of thefe fciences, you are neceflarily totally ignorant. You have read, or rather coriftrued, a few detached fcraps of ancient hiftory; but that was folely with regard to the language in which they were written. As to modern hiftory, and the manners and improvements of different nations in modern times, you have been entirely precluded by your age and (ituation. From thefe confiderations it neceflarily .follows, that a boy, a young gentle- gentleman, if you rather prefer that deno- mination, immediately emerging from fchool, % is in truth, and without any reflexion on his abilities, as I have already obferved in a former letter, a very ignorant perfonage. He is ignorant of the world, confequently embarrafTed in his deportment, and totally unacquainted even with the principles of any fcience whatfoever. What then muft we think of thofe young gentlemen, and fuch young gentlemen are not very uncommon fpeftacles, who, with all thefe imperfections, inconfiderately dafh their opinions on all fubjefts, in the pre- fence of Learning and Experience? They are heard with companion, and they retire uninformed. Are we then, you will afk, to aft the part of mutes? No: not abfolutely; but a young ftripling who talks, only becaufe he thinks he ought not to be filent, had much better hold his tongue. If he prefume to take the lead in converfation, he muft in- fallibly expofe himfelf; becaufe, like a poor prodigal, he is extravagant without a fundj and, like an ignorant pilot, he runs aground before he has difcovered the coaft. If he venture to give his opinion on politics, the B 3 greateft greateft favour the company can do him is to feem to attend to fomething elfe. If he prefume to decide on the merit of a book, a fermon, a play, or an aftor, it is at leaft ten to one againft him, that he is wrong; becaufe a rational determination on thefe fubjecls requires a degree of knowledge to which a fchool boy can have no pretenfions. If he think proper to entertain the com- pany with a goodjlory, it is moft probably, though new to himfelf and his quondam companions, a ftale joke to many perfons prefent, and pofftbly the wit of a jeft-book. As to wit, in general, it is a plaything fo very like an edged tool, that it is impoflile a boy fhould meddle with it without cutting his fingers. But, befides the danger, there is another reafon fufficient to deter a young man from attempting to be witty. I mean the difficulty of immediately diftinguifhing real from falfe wit. The firft may produce fome degree of applaufe: the latter, nothing better than a fneer. Every unfuccefsful at- tempt to be witty, ^ recoils, like an over- loaded gun; overturns the author, and ex- pofes him fprawling to the derifion of his companions. In what I have written concerning the ge- neral neral ignorance of Weftminfter, Eton, and Charter-houfe fchool boys, I attribute that ignorance neither to the lads nor to their maf- ters; but partly to the indolence of men in power, and partly to an apprehenfion of the confequences of reformation. We like reformation well enough, whilft, with the reins in our hands, we can (lop it when we pleafe; but we are fearful of Reformation run mad. In reading Swift's T^ale of a T^ub^ you will learn that it is not an eafy opera- tion to ftrip a garment of its fuperfluous ornaments, without tearing the cloth. This is an argument againft inconfiderate, irra- tional reformation; but, if it be admitted as an argument againft reformation in ge- neral, it proves too much. If the great re- former Luther had been deterred by fuch arguments, all Europe would flill have groaned under the ecclefiaftical tyranny of a fovereign Pontif. But I have infenfibly wandered from my fubjec"l. I do not mean to infmuate that a young gentleman, on his firft admiffion at the Univerfity, when accidentally in the com- pany of his fuperiors, (hould be precluded from taking part in the converfation j but, be his natural abilities ever fo great, he B 4 fhould, fhould, on no occafion, prefiime to take the lead. His opinions, when afked, fhould be delivered with diffidence, and in a manner evidently expreffing his defire of better in- formation : and this, not only becaufe fuch deportment is moft becoming his fituationj but becaufe it is the only means by which he can expect to improve by the converfa- tion of men of fuperior knowledge. Men of fcience feel a pleafure in communicating their knowledge to young minds properly difpofed for inftruction; but juvenile arro- gance, like the moth which is now wheeling round my candle, in the moment that it finges it wings, puts out the light. No- thing fo effectually filences a man of letters as the modifh tittle-tattle, or decifive opi- nions of a young Etourdie. That man is naturally a vain animal, ap- pears from his being moft vain whilft near- eft a ftate of nature; that is, before a little education has opened to his view the expand- ed profpe6l of human knowledge; before be is convinced, by experience, that error is interwoven with human nature. This va-r nity is indeed fo natural a vice, that no ha- bit is more difficultly acquired than that of acknowledging our errors -, and yet this ha- bit is the beft feature in an amiable cha-t rafter, and the ftrongeft proof of a found undemanding. The late King of Pruflia, whom, when youliaveTead" his pofthumous volumes, you wilTconlider as a man of fuperlative abili- ties, concludes hlFdefcnption of every bat- tle which he fougKF, with an impartial re- capitulation of his own miftakes, and fre-~ quentTy r with a^generbus acknowledgment" oTtrTe~^5ctfef Conduct of his^iTjemy^ ~Befides the vanity, in young men, of ap- pearing to know more than any young man can podibly know, there is another fpecies of pride to which youth in general is ex- tremely prone. I mean that of appearing rich. Now, though no young man be weak enough to maintain, that riches imply the leaft degree of merit in the pofTerTor, yet the idle vanity of being fuppofed to have a large allowance to fpend, is more generally the caufe of ruin to ftudents at the Univer- fity, than any natural propenfity to extra- vagance. Every attempt to appear more learned, more knowing, more powerful, or richer than we really are, is foolifli in the extreme; for, if we fucceed at all in the deception, it is is of very fhort duration. In difpite of every effort to keep up the ball, it .will foon come down, and will defcend with greater force in proportion to its height. Thejn- dividual_chara<5lers of men, howfoever art- fully fuftamed, will infallibly vibrate to tHeTfTrueTevel in the opmion__oiF_the : world, and the^pretender will find himfelf at laft, like the fpirt of a fountain, even below the furface of his parent refer voir^ below his natural level. Vera gloria, fays the charming Cicero, ra- dices agit, atque etiam fropagatur: fifta omnia celeriter^ tanquamjlofculiy decidunt^ necjimula-* turn foteft quidquam effe diuturnum. Vale. L E T- LETTER V. WE of the human fpecies are diftin- guifhed from what we call the brute creation, not by the internal or external for- mation of our bodies; for, in thefe, the dif- ference is found, by naturilifts, too infuffici- ent to entitle us even to afeparate Order -in the clafs of Quadrupeds. The celebrated Lin- naeus has placed Man in the CLASS Mamalia, which includes Quadrupeds and Whales; and in the ORDER Primates, which, according to his artificial fyftem, neceffarily compre- hends the genus Vefpertilio. He does not even compliment us with a generic diftinc- tion. Afpecific difference is all that we are allowed: thus, Homo rationales. I am forry to obferve, that even this trivial epithet is more than we generally deferve. I am compelled to be thus fevere on the human fpecies (for you obferve we have no pretenfion to a. generic diftinftion) becaufe mankind appears to me the leaft rational part of the creation: Therefore I would not tranflate the word rationalis rational -, but, capable of reafoning. Old ( 28 ) Old men are frequently cenfured for their want of indulgence to the natural follies of youth. Is it then neceflary that young men fhould be fools ? If fo, what becomes of this fpecific epithet which alone divides them from the brute creation? Or, muft they rank with brutes until a certain age? I am led to thefe animadverfions by ob- ferving, that young men, on their firft ftart- ing into life, are generally governed fo ab- folutely by that fool Fafhion, as totally to forget that they are rational creatures; and that in point of drefs (for of that only I am now fpeaking) they are ready to facrifice every idea of propriety, and even conveni- ency, to the ridiculous whim of any defpi- cable infect of what is called the beau monde. You are not hence to conclude, that I would have a young gentleman too fcru- puloufly attentive to the rationality of his drefs. Something muft be facrificed to Fafhion; but a young man of found intel- lects will not^in compliance with the whim, even of a prince, run into extremes that are palpably abfurd. I would not have my fon a floven. Total negligence of drefs is an affront to fociety: it indicates either an ig- norance or contempt of the world 5 but an abfo^ ( 29 ) abfolute Fop is a creature almoft below contempt. Drefs, in the eye of philofophy, is an inconfiderable object; but it is an ob- ject of no fmall influence in the opinion of mankind. The opinion of the world is of great confequence to a young man: on ftrangers, propriety or impropriety of drefs, make the firft impreflion. Firft impreflions are not eafily obliterated j drefs, therefore, howfoever infignificant in the abftra6l, be- comes an object of importance to every member of fociety, particularly to a young man on his firft appearance in the great world. You are become a member, and I hope you will prove not an unworthy member, of one of the firft Univerfities in Europe; and of a college that has produced many eminent, very eminent men. But, alas! the number of men diftinguifhed for fupe- rior knowledge and abilities, is far exceeded by the number of drones that have iffued from the hive, and have mixed with the illi- terate part of mankind, undiftinguifhed and forgotten. To what caufe mail we attribute this la- mentable excefs of ignorance, in the num- ber of perfons educated at Oxford and Cam- bridge ? ( 3 ) bridge? It muft, I think, be afcribed to a variety of caufes, partly acting upon each other, and fome of them totally indepen- dent. The firft caufe, which operates alike in both Univerfities, is a pofitive adherence to ftatutes and cuftoms, which, not accord- ing with the prefent improved ftate of learn- ing, nor with the manners of the prefent times, fatigue and difguft the ftudents im- mediately on their admiflion. Extreme early riling and conftant attendance in the cha- pel, are hardfhips in which they perceive no utility. They comply with reluctance. They are difgufted with an academical life. They refide no longer than is abfolutely neceflary, and they look forward with impatience to the day of their releafe. In fuch a temper, little improvement can be expected. No young man will apply to learning con amore, in a difagreable fituation. I am, neverthelefs, far from thinking, that young gentlemen fhould be entirely unreftrained; but I am of opinion, that thefe reftriclions fhould be confined to their immoralities, and that in all other refpects their refidence at the Univerfity (hould be rendered as agreeable to themfelves as pofli- ble. There is a principle in human nature fo fo averfe to coercion, particularly about the age of fixteen, that the lectures of your tutors make very little impreflion, becaufe they are attended by compulfion. In every other Univerfity in Europe, attendancejipon lee- turesfTs a voluntary act : no_tafks,jio^xer^__ ales are~impoledr '"Neverthelefs, the public attended, and the _ ftudentsTlIften with an eager defire of in- formation: becaufe their attendance is vo- luntary^ ItTcannot be denied, that the colleges in our Englifh Univerfities retain an obvious fimilitude to Roman Catholick Convents; and it is very furprizing that the Reforma- tion mould have produced fo little, fo very little, alteration in their inftitutes, habits and regulations; many of which are totally indefenfible on principles either of policy or utility. In thefe ftrictures, I have told you no- thing that you did not know before; no- thing with which the whole world is not as well acquainted as myfelf: nor have I difcovered any blemifhes that are not feen and felt by every rational member of both Univerfities. Why then, you will afk, are no fleps taken towards reformation ? y You ( 32 ) You remember ^Efop's fable of the mice and the cat. Who will hang the bell ? A firft Reformer is fure to create many ene- mies. It is very difficult to ftem and di- vert into"anotHer '"cBannra^orrent : of pFe- jiidice tEat has beenTo many years accu^ down with the Itrearru BuTTuch a reformation re- quires a power which the Univerfities them- felves do not poflefs. It muft be the aft of the Legiflaturej and the Adminiftration, in this kingdom, is generally too deeply in- volved in national politicks, to fpare the time and application that a reform of fuch importance would require. It is poflible that, in fome future period., a fortunate concurrence of circumftances may produce a rational and uniform fyftem of education in both Univerfities. There are now refident at Oxford and at Cam- bridge, men fully adequate to the delinea- tion of a comprehenfive, an univerfal plan of academical tuition, which, with the ad- vantages of their prefent foundations, might, very eafily, be rendered fuperior to any in- ftitutions of the kind in Europe. No other Univerfities poflefs fuch noble and fpacious edifices for the accommodation of fludentsj no ( 33 ) no Univerfities are fo munificently endow- ed; no other Univerfities poffefs fuch pub- lic and college libraries; and certainly no feminaries of learning can boaft fo many members of diftinguifhed erudition in every branch of literature : but thefe fingular ad- vantages are facrificed to an unavoidable (unavoidable, in the prefent ftate of things) compliance with ancient ftatutes, manners, and cuftoms. LET- ( 34 ) L E T T E R I HAVE, in my laft letter, acknowledged the defecls which foreigners obferve in the general economy of Englifh Univerfi- ties. They are aftonifhed to find that our profeflbrlhips are commonly finecuresj that there is no continued feries of public lec- tures in arts or fciences; and that college tutors are almoft the only fources of infor- mation. This naturally creates furprize; becaufe, in all other Univerfities, the flu- dents have the advantage of daily public lectures, without vacation or interruption, during the greateft part of every year. What is the caufe of fuch laborious attention of the profeflbrs in thefe Univerfities? The anfwer is obvious. They are paid by their auditors, who are under no obligation to attend them; confequently their emolu- ments depend on their reputation. Thus have I candidly, and without re- ferve, recapitulated the articles of accufa- tion, which, in your hearing, have been fre- quently brought forward, in objection to an Engliih academical education; and I will now ( 35 ) now endeavour to anfwer thefe obje<5lions, fo far as the fubje6l may influence your purfuits. Young men are naturally fanguine in their expectations: they are impatient and diflfa- tisfied with every thing, which, according to their conceptions, falls fhort of perfec- tion. But a few years experience will in- fallibly convince them, that human infti- tutions are incapable of perfection, and that a prudent man will make the beft ufe in his power of things as they are. That the pre- ient fyftem of education at Oxford and Cambridge might be improved, will be rea- dily admitted j and, that a careful revifion of the ftatutes, and a confequent abolition of many cuftoms, ill adapted to the learning and manners of the prefent age, will take place, is more than probable. But, the for- tuitous events neceffary to bring forward fo confequential a revolution, depend on fo fingular a coalition of circumftances, that many ages may yet roll on, before our Uni- verfities are perfectly reformed. Let us now attend a little to facts. The arguments deduced from fpeculation and theory are certainly againft us. Our Uni- c 2 verfities ( 36 ) verities are governed by ancient ftatutes, and habits apparently not calculated to pro- duce, either learned men, or polite fcholars. Yet thefe Univerfities have produced a Ba- con, a Newton, a Locke, a Sanderfon, a Bentley, a Tillotfon, a Sherlock, an Addi- fon, a Bolingbroke, a Steel, a Chefterfield, a Pitt; befides many other learned men, polite fcholars, and great ftatefmen. If there- fore we may reafon from facts, an Englifh Univerfity, with all its imperfections, is fully competent to the communication of claflical, pliilofophical, and polite literature to their greateft extent: nor do we find that any other feminaries, in this ifland or on the continent, can exhibit a lift of worthies, in any degree comparable with the gradu- ates of Oxford and Cambridge, from the latter end of the laft century to the prefent time. Yet this fact, indifputable as it may ap- pear, does not prove the perfection of our academical inftitutionsj but it fufficiently demonftrates the poffibility of acquiring at Oxford or Cambridge, knowledge in a very high degree, in every branch of literature j and hence, we are fairly authorized to con- clude, ( 37 ) elude, that the ignorance of thofe who dif- grace the Univerfities, cannot with juftice be afcribed to the want of opportunity. To corroborate what I have faid in favour of our Engiifh Univerfities, and at the fame time to relieve you, in fome degree, from the didactic dulnefs of thefe parental epiftles, I will endeavour to give you a Iketch of the portraits of fome of thofe men whom I have mentioned as ornaments to the feminaries in which they were educated. FRANCIS BACON, the fon of Sir Nicholas Bacon, Lord Keeper of the Great Seal, in the reign of Elizabeth, was born in 1561. In the twelfth year of his age, he was en- tered a Student of Trinity College, Cam- bridge. By this early admiflion, you per- ceive, that Students in the Univerfities, during the firft three or four years, were fchool boys; and hence, we may probably account for the prevalent continuance of grammatical and claflical learning, at one Univerfity, and for the cuftom of fcholaftic impofitions in both. Such however was the genius and appli- cation of this boy, that, by the time he was fixteen, he is faid to have completed the circle of the fciences then taught, and to c 3 have have been perfectly acquainted with the Ariftotelean philofophy; the abfurdity of which philofophy he immediately difcover- ed and finally refuted. What this philo- fophy was, I fhall tell you another time. About the age of fixteen, an age when young gentlemen of the prefent times ufu- ally enter the Univerfity, he quitted Cam- bridge, and was, foon after, fent by his fa- ther to Sir Amias Pawlet, who was then the Queen's ambafTador at the court of France. During his refidence at Paris, about the nineteenth year of his age, he wrote a fhort treatife Of the State of Europe. On the fudden death of his father, being deftitute of proper fupport, he returned to England and commenced ftudent of the Law, and with fuch fuccefs, that after patting through the ufual gradations, he became Lord High Chancellor of England, and was created Vifcount St. Albans. During this progrefs to the fummit of honour, power and emolument, he contir nued his philofophical ftudies with unre- mitting affiduity, and was doubtlefs, not only the firft Lawyer, but the^r/?, I might have faid, the only philofopher then in the wprld. But, .alas! I wifh, for the honour of ( 39 ) of human nature, that I could draw a vail over the fequel of his ftory. This great, this very great man, wanted that integrity of character, that conftitutional virtue, without which, all other endowments are, to ufe the words of St. Paul, founding brafs and tinkling cymbals. He was accufed of having been influenced in his decrees by pecuniary bribes, received at various times, to a confiderable amount; and, though it appeared that his fervants were the only gainers by fuch malpractice, yet he pleaded guilty, and was fentenced to pay a fine of 40,000!. * to be imprifoned during the King's pleafure, and to be for ever incapa- ble of office. Thefe fevere pains and penalties were en* tirely remitted by the King (James I.) by whom, and by his favourite the Duke of Buckingham, the delinquent was now more than ever carefied. He had a penfion of j2pol. and an additional grant of 600 1. from the Alienation office. His own eftate produced about 700!; fo that he retired to his philofophical fludies with an income of 2,500!. per annum: neverthelefs, his debts, at the time of his death, amounted to 22,000 1. c 4 Thefe ( 40 ) Thefe fafts, if facts they really be, feem ftrangely incongruous: yet they are well authenticated. It is moft probable that he was feduced by the King to plead guilty, in order to divert the Ciorm of enquiry from falling on the head of Buckingham. If this be true, his character, deliniated by Pope, in the following lines, was mofl juft. " If parts allure thee, think how Bacon fhin'd, The wifeft, brighteft, meaneft of mankind." He feems to have been a fingular example of a mind capable of facrificing confcience, reputation and every rational fource of feli- city, at the fhrine of Pluto, yet without avarice; and, what is more extraordinary, without being, in any degree, a fenfualift. His moral character out of the queftion, he will always be remembered, as a prin- cipal ornament to the Univerfity in which he was educated, and as the prototype of the Newtonian philofophy. " He was, fays Mr. Walpole (in his Catalogue of Noble Au- thors) the Prophet of Arts (Sciences, he ftiould have faid) which Newton was fent afterwards to reveal." Probably the great Sir Ifaac would have found his way without a guide: neverthe-. ( 41 ) lefs, Bacon, doubtlefs, firft marked the path to true philofophy, which Newton after- wards purfued. "Alas ! " exclaims Mr. Walpole t that he who could command immortality, (hould have (looped to the little ambition of power ! " This exclamation founds well: but there are readers, who, after a little analytical re- flexion, might alk, whether a man of fupe- rior talents might not rationally prefer the little ambition of power, to the great ambition of immortal fame? a reality to a phantom. A man of Bacon's talents might have wiflied for power for the fake of his country. Pro- bably a conftitutional indolence was the caufe of his inattention to the cuftomary venality of his dependents : yet perhaps not indolence, but a predominant propenfity to philofophical thinking. That in winking at the venality of his fervants, he did not act from principle, may, I think, be juftly inferred from the following paflage in his Eflay on Judicature. " For that which concerns Clerks, and Minifters : the place of Juftice is an hallow- ed place, and therefore not only the bench, but the foot-pace, and precincts, and pur- prife ( 42 ) prife thereof, ought to be preferved without fcandal and corruption." To find a man of Bacon's fuperior abili- ties aft, whether from indifference or from attention to other objects, diametrically op- pofite to his own principles, is rather a painful difcovery: fuch examples however are not without their utility. They teach us that the good faculties of the brain, without the good faculties of the heart, are totally infufficient to form an eftimable character, Confcious integrity of conduct, would have afforded Bacon more real felicity than all his wealth, his power and philofo-.- phical immortality. I am, 6cq. LET- ( 43 ) LETTER VII. JOHN MILTON, the celebrated au- thor of Paradife Loft, was born in Lon- don in the year 1608, imbibed the rudi- ments of his education at St. Paul's fchool, thence was admitted of Chrift College, Cam- bridge, where, at the age of 24, he took his fecond degree in Arts. His father intended him for the church; but he was now be- come an enthufiaft in the religion which was afterwards the inftrument of Crom- well's ufurpation. Mufic and poetry were his favourite fludies. His Comus, r Allegro^ il Penferofo, and Lycidas, were written foon after he left the Univerfity. They are poems, with which, when you have leifure to read for amufement, you will be exceedingly de- lighted. About the year 1638, Milton made the tour of France and Italy. During his re- fidence at Florence, he wrote fome Latin verfes, in confequence of which, Salvaggi of Rome fent him this diftich, Gr nee quantum nee quale. I will now give you a fketch of the hy- pothetical fyftem of this celebrated French philofopher. He imagined three diftincl: fpecies of elements. i ft. Infinitely minute, and of no deter- mined figure, but confifting of particles ready to adapt themfelves to every inter- ftice between the globules which compofe the fecond, and thereby prevent a vacuum. 2dly. An element compofed of atoms per- feclly fpherical, produced by the continued fridion of the angular and more grofs par- ticles of the third element, which being firft created and fuppofed to be rapidly whirled round its centre circa centra fua gy rare gradually rubbed off its angles, and thefe filings r amenta ilia qua e corporibus eruuntur formed the firft element that filled up the chinks. 3dly. An element compofed of the grofs particles of matter, exceeding the firft and fecond in magnitude, lefs fit for motion, D but ( 5 ) but better calculated for adhefion. Thefe form the grofler bodies. Sol et Fixte are compofed of the firft ele- ment; Ccelum of the firft and fecond; opake bodies, fuch as comets and planets, of the third. According to this philofopher, rarefaction is caufed by the introduction of celeftial matter into the pores of denfer bodies : caufa ordinaria, he fays, ignis eft, quia cum particulte materia fubtilis^ quibus conftat, in continue fint motUj facile aliorum corporum meatus ingredi- untur atque illos 'dilatant et extendunt. Gravitation he explains thus: Denfe bo- dies having lefs propeftfity to fly from the centre round which they are whirled, remain neareft that centre, where they are con- ftantly prefied by the more fubtile elements. In anfwer to the objection, that, according to this hypothefis, bodies falling to the Earth fhould defcend with mofll- rapidity at firfr, pafling then through the thineft medium, he fays Di'verfttatem lapidis inde oriri y quod lapidis, infuo defeenfu y motm precedents et in- Juper augment urn recepit y ab impulfu materite fubtilis. In fpeaking of compound motion, he fays, > Omnia ( 5' ) Omni a enim motus qut a duabus aut pluribus caufis pendet, eft compojitus : fo a ball out of a canon defcribes a curve towards the Earth, becaufe its direct progrefs is impeded by the air, and becaufe heavy bodies defcend flow- eft at firft. Such were the philofophical opinions of the celebrated Des Cartes: opinions which, as they were built on the bajelefs fabric of a vifiony would in time have melted into thin air; but the fudden oriental blaze of our great philofophical luminary, difpelied them, like a morning mift before the fun. The fimple power of gravitation appeared at firft an hypothefisj but it was an hypothefis confirmed by experiment, and demonftra- tively explanatory of the motions of the planets that conftitute our folar fyftem. This fyftem, and the Newtonian philofophy in general, I may probably delineate more at large in fome future letters. I (hall finifh the prefent biographically. Mr. Newton's celebrated Pbilofopfate Na- titralh Principia^ Mathematica^ was firft pub- liflied in 1687, by the Royal Society, under the infpection of Dr. Halley. In the fol- lowing year, he was elected member of Par- liament for the Univerfity of Cambridge; D 2 in in 1696, was made Warden, and three years after, Matter of the Mint, a place worth 1500!. per annum. In 1703, he was chofen Prefident of the Royal Society, which he continued during the remainder of his life. He died in the year 1727, aged 85, and was buried in Weftminfter Abbey, where you will find his tomb on the left hand, at the entrance into the choir; which tomb, I dare fay, you will vifit with more heart-felt veneration than Mahomedans feel at the fhrine of their prophet at Mecca, or Roman Catholicks at Loretto. I forgot to tell you, that he was knighted by Queen Ann, in the year 1705. It was a trivial circumflance, fcarce worth notice in the life of a Newton, on whom titles conferred by princes, could perpetuate no honour, except to themfelves. JOHN LOCKE, univerfally remembered, as the author of the Effay on Human Under- Jlandingy was born at Wrington in Somer- fetfhire, in 1632. He was nrft educated at Weftminfter fchool, and thence became a Student of Chrift-church, Oxford, where he took his degrees in Arts. In 1664, he went abroad as Secretary to Sir William Swan, Envoy ( 53 ) Envoy to the Elector of Brandenburgh. In the following year he returned to Oxford, and was foon after introduced to Lord Afhley (afterwards Earl of Shaftfbury) who being made Chancellor, appointed him Se- cretary of Prefentations. The plan of his celebrated Effay was Iketched in 1670. In 1675, Mr. Locke took the degree of Bache- lor of Phyfic, and the fame year went to Montpelier for the recover of his health, where he continued till the year 1679. In 1682, his patron fled to Holland, to illude a profecution for high treafon, where he foon died. Mr. Locke attended him in his exile, and did not return to England till 1688, the year of the revolution. On his arrival in England, he retired to the feat of Sir Francis Marfham, where he fpent moft of his time. In 1695, King William ap- pointed him a Commiflioner of Trade and Plantations, which office he refigned in 1700, and died in 1704, aged 73. Mr. Locke was, doubtlefs, a man of very ftrong intellects > very capable of intenfe thinking, and peculiarly happy in the ar- rangement of his ideas. His EJJay on Hu- man Under/landing is Logick diverted of its ancient technical formality. It is a book D 3 that ( 54 ) that you will read with great pleafure and profit, as foon as you are capable of clofe application. Intenfe thinking is an ope- ration of the mind, to which, at fchool, you were not accuftomed. It is a habit of which young minds are incapable, and, like ftrength of body, to be acquired only by gradual ex- ercife. But, though Locke be very juftly confidered as a claflical author at the Uni- verfities, let me advife you never implicitly to fubmit your own reafon to any of his opinions. Whenever you are not perfectly convinced, mark the paflage, and difpute the matter with your companions. Remember however in all your difputations, that the difcovery of truth is your fole object; that it is of no confequence whether it be found by your antagoriift or yourfelf j that an ha- neft difputant will admit the arguments of his opponent in all their energy -, that every fpecies of fophifm is inadmiflible; and that the leaft appearance of paflion is not only difadvantageous to the difputant, but is, at the fame time, a decided proof of his want of that uibanity, which diiiinguifhes a gen- tleman from thole who have not had the advantage of a liberal education. I have dwelt a little upon this fubjec~l of dii- ( 55 ) difputation, becaufe pertinacity is a com- mon, I had almoft faid an univerfal vice of young men. I well remember it in myfelf. I well remember that I was moft tenacious of my opinions, when I was moft ignorant; and that, in proportion as I acquired more knowledge, I became more diffident. Since I kneel at the chair of confefiion, I will tell you, very honeftly, that I recollect many inftances in myfelf, of juvenile arrogance and felf-fufficiency, for which I ought to have been feverely chaftized. My father had from Nature too much of the milk of human kindnefi to treat me as I deferved. Here I clofe my biographical fketches for the prefent. Bacon, Milton, Newton, Locke, are the four great pillars which fupport the monument of Britifh genius : a monument, which, without national partiality, we may affirm, ftands eminently fuperior to that of any other nation. I have fpoken of them chronologically; but, Sir Ifaac Newton, doubtlefs, deferves the firft place in the group. Bacon had the merit of difcover- ing, that former philofophers began at the wrong end; that philofophical doctrines built upon hypothetical principles, were in- capable of demon ftration, and therefore D 4 might ( 56 ) might be falfe; and that all found philofo- phy muft be founded on facls proved by experiment. This Bacon fawj but he went no farther. Like Mofes, from Pifgah, he beheld the land of promife at a diftance; but Newton led the hoft into the Canaan of Philofophy. I am, &c. LET. ( 57 ) LETTER VIII. OBSERVING the various fortunes of young men, iffuing from the fame fchool, with the fame advantages, and ap- parently of equal capacity, fome philofo- phers have been induced to afcribe the ex- altation or depreflion of individuals, to a power which they call an irrefiftible deftiny. The confequence of this Calviniftical tenet is abfurd, becaufe it is incompatible with every principle of morality: the difficulty of a logical proof of this abfurdity, arifes from the impoffibility of tracing effects to their caufes. You are probably not unacquainted with the amufement on a bowling-green. Every competitor aims his bowl at ihejack, and the courfe of his bowl is determined partly by the conftitutional bias of the bowl, and partly by the direction communicated in the moment of bowling. This conftitutional bias is given to the bowl by a certain quan- tity of lead, and its indirect, curvilineal pro- penfity is greater, and confequently more difficult to counteract, in proportion to the quantity ( 58 ) quantity of metal in its compofition.' But a bias may be given by other metals : gold is yet heavier than lead, and a natural levity in the wood, will give equal effect to a lefs quantity of either. A ftudent may be biafed by too much lead, by too much gold, or negatively biafed by too much levity. But, to continue the fimile, are we therefore to conclude, that a ikilful bowler has it not in his power to give his bowl the true direc- tion to the goal. Would not fuch an artift laugh at the Predeftinarian who fhould en- deavour to convince him that he was not, in this inftance, a free agent, and that his fuccefs did not depend entirely on his free will and dexterity. Hence, I think, we may rationally con* elude, that every effect is the natural con- fequence of a fufficient caufe, and, to fpeak in the language of mathematicians, that the fortunes of men are generally in a direct ratio of their prudence and abilities. Without abilities to a certain degree, and alfo without a certain quantum of fchool learning, it is impoffible for a young man to cut any figure at the Univerfity ; but the moll diftinguiihed abilities, with all the claflicai learning that a fchoolboy can poffi- bly ( 59 ) bly acquire, are not of themfelves fufficient to lift a young gentleman to that degree of notice, to which, a truly liberal mind will naturally afpire, His parts, his learning, without prudence are of little value. Like a (hip without balaft, he becomes the fport of every wind, and is in perpetual danger of deftruclion. Remember what I am now going to fay. I mean to fpeak very emphatically, becaufe it is the hinge on which your future for- tunes will turn. I mean your choice of com- panions. It is a matter of infinite import- ance. Young men, on their firft arrival at the Univerfity, naturally look up to thofe who have been fome time matriculated; they liften to their information with compla- cency, and too implicitly imbibe their opi- nions of men and things. " Such a Profeflbr is a ftupid fellow fuch a tutor is a tedious blockhead -fuch a duty is a bore" This is a language which you will frequently hear. But you will very foon difcover, that thefe orators are generally indolent, illiterate, weak young men ; totally infenfible to that thirft of knowledge, that noble enthufiafrn, that glorious ambition with which the great luminaries of fcience were infpired, and with- out ( 60 ) out which, all expectations of pre-eminence are vain. Morofenefs in a young man is unamiable and unnatural; but there is a certain degree of referve neceflary on his fir ft admiffion into a numerous fociety. Intimate con- nexions are more eafily avoided than brok- en. I do not wifh by this caution to taint your mind with fufpicion; but remember, that evil communications corrupt good manners, and that in friendfhip with a vicious cha- racter, you are conftantly walking on the brink of a precipice. How confident foever you may be of your own fafety, the moment he flips, he will certainly lay hold of your gown, and down you tumble headlong to- gether. I am very forry to hear that in the Uni- verfities Sunt qui nee veteris pocula Majjict Nee fartemfolido demere de die Sfernunf. Fortunately, in this kingdom, drinking is rather an expenfive vice, and therefore ne- ceflarily confined to a part of the commu- nity.^ It cannot much interrupt the ftudies of thofe, who come to the Univerfity, merely with ( 6i ) with an intention of whiling away a few years which they knew not how otherwife to employ. But thefe young noblemen and gentlemen, will foon be too fatally convinc- ed, that early drinking will infallibly deftroy their confutations, impair their intellects, and fhorten their lives. I fpeak as a phy- fician: if there be a power on Earth, whofe intereft it is, gradually to annihilate the ftrength and political importance of this na- tion, no means could be devifed half fo effec- tual, as that of alluring the fons of noble- men and gentlemen of rank and fortune, to premature debauchery. You are not hence to conclude, that Na- ture gradually ripens men for vice. Vice is at all times, and in every ftage of our exift- ence, a moft induftrious enemy to health, and confequently to life; but at any age, before the body has attained its acme, every fpecies of debauchery is doubly deftruclive : and, were it even poflible that an herculean constitution mould, in time, recover the effect of juvenile imprudence, the refolution neceflary to conquer vicious habits is fo rarely found, that early debauchery gene- rally ends in premature imbecility, and de- crepitude both of body and mind. But ( 62 ) But the vice of drinking to excefs, muft not be imputed exclufively to the Univerfities. Its fource lies frequently fomewhat higher. I am forry to fay, that this infidious enemy to human nature, often originates in our public fchools. Shame to tell! the prefent age affords many examples of drunken fchoolboys. What can be the caufe of an evil fo enormous? Who are we to cenfure? The mafters ? No. They do every thing in their power to prevent it; but in vain. It originates in the inconceivable folly of opulent parents, who, by fending their darl- ing fons, after every vacation, with guineas in their pockets, furniih them with the temptations to every kind of irregularity. Not only drunkennefs is the confequence of this oftentatious parental weaknefs, but other vices that are often feverely felt in the third and fourth generation. Many young gentlemen fail down the tide of indulgence for want of capacity, or reflexion, to perceive the rocks and qtiick- fands, amongft which their voyage muft terminate. Thefe deferve our companion. But, what (hall we fay of thofe, on whom nature has beftowed penetration and fore- fight, amply fufficient to know the confe- quences quences of vice and folly? Such young men are impelled by the pride of wealth, which enables them to be irregular; or by the pride of daring to be vicious-, or by example; or by evil habits contracted at Eton or Weft- minfter. Both thefe are noble inftitutions; they are upon the whole well regulated; but the beft regulations and the moft fevere atten- tion of the mafters, will never prevent ju- venile debauchery, fo long as parents are fo foolilh as to furnifh their children with the means. We expect you to dinner to morrow. By obferving the following directions, you may avoid the extreme dirt of our village. s TO Trumpington tramping to vifit theDodor, Which fare you may do without dread of a Proctor, The village when juft you begin to approach, Before you arrive at the Horjes and Coach, Lo! a path on your right to gain which, with- out fail Clap your hand on the poft and fkip over the rail. Then follow your nofe 'till you come to the church, And thus you will leave all the mud in the lurch. You now muft proceed to the fouth of that fteeple Whofe five brazen tongues call, in vain, the deaf people. Behold, ( 64 ) Behold, on your left, a white gate once fublimel But all human grandeur muft yield to old Time. That gate thro' which Anftey, when feiz*d with devotion, Forth ifTued tho* that was not ofc, I've a notion. Perhaps for the chirping of birds he'd no relifh: 'Tis not heavenly mufic, 'tis true rather hellifti. I muft tell the truth, if I forfeit my neck for't, The fparrows are often much louder than Heck- ford. If I were the parfon, for fake of the fun, I'd (hoot all thefe birds, if I borrow'd a gun. Perhaps that might clam with the Canons, or Ru- brick, Or of glafs it might coft fome new pains, or a new brick. No matter i the parim muft pay, to a farthing, Repairs of the Church, in Accounts of Church- warding. Now enter the gate, and now put off your moes, For 'tis all holy ground, 't was the feat of that Mufe, That whilom the Trumpington Bard did infpire: Here he fung the Bath Guide Here fhe tun'd his fweet lyre: That poem delightful to youth and to fages Of this prefent age, and of all future ages. Alas ! of that Bard's rich poetical treafure, Here nothing remains, but of verfe the fame mea- fure. So ( 65 ) So coiners of brafs, of the die in poffcflion, To fixpences give but external imprefiion. No matter: tho* this may not prove current coin, You'll find on the table an honeft Sir Loin. The time you remember, for Time's on the wing: We wait not a moment pad three, for the King. Adieu! LET- ( 66 ) LETTER IX. YOU will hardly find yourfelf fettled in your cell, before you will be informed by Come of your fellow Students, that you are to read Logickj a Science of which you cannot have formed any idea. It is derived from Aoyo$,fermo, verbum, and was at firft confidered as the art of converting or rather difputing. Zeno, a Greek philofopher, who lived about 450 years before Chrift, is faid to have been the inventor of this art, if an art it may be called. It was afterwards particularly cultivated by the Greek feel: of of philofophers, called the Peripatetics, of whom Ariftotle was the chief. When you are better acquainted with the hiftory of literature, you will learn, that, after the deftruclion of the Roman empire, many ages elapfed before the revival of any art or fcience. You will alfo learn, that, after this revival, 1 the writings of Ariftotle became the Gofpel of Philofophy, and that his books were clafiical in every part of Eu- rope till the beginning of the laft century. About that time Des Cartes, publifhed a new new fyftem of Philofophy, difFerent, but not lefs chimerical, than that of Ariftotle. It prevailed, however, particularly in France, until ovir immortal Newton publifhed his Princlpia, which, being founded on facts, necefTarily refuted all former hypothetical opinions. The philofophy of Ariftotle, and of Des Cartes, is now totally difregarded and for- gotten : yet the Logick of the prefent day is fundamentally that of Ariftotle, whofe fyf- tem Des Cartes new-modelled and corrected. He divided his book into four parts, viz* De mentis perceptione~Dejudiciofeu propojl- tlone <~-De ratiocinatione feu fyllogiftno De methodo feu difpofitione. This divifion has been generally adopted by fubfequent writ- ers on this fubject. Le Clerc, however, one of the beft of them, entitles his four divi- fions, De ideis Dejudicih~-De methodo De argumentation. Ariftotle, and his difciples, divided the objects of thought or entia, into ten clafTes, categoria, or predicament a-, all which, ex- cept the firft, they called Accidents. Thefe are they: Subftantia, guantitatis, ^ualitatis^ RelatiomSy Aft'ionis, Pqffionis, Ubi, Quand, Si* tus, Habitus. E a f Orl ( 68 ) On thefe principles, the Ariftotelian Lo- gicians difputed with great fubtilty, and to very little purpofe, in every Univerfity in Europe, till about the year 1630, when Des Cartes publifhed his Philofophy, which, in a little time, rofe into reputation on the ruins of Ariftotle. A great variety of books on Logick, tran- flated or tranfcribed from Ariftotle and Des Cartes, were written and publifhed in the laft century. Of the prefent century I re- collect no book of any note on this fubjecl, except Watts and Duncan^ both in our own language. The laft of thefe, I underftand, is the book now generally recommended by the Tutors at Cambridge, to be read by ftu- dents of the firft year. It has fome merit in point of arrangement -, but it wants per- fpicuity; it contains many unnecefTary re- petitions, and is frequently inaccurate even in point of grammar. Why this art, which ' in our Univerfities is never publickly exer- cifed but in Latin, fhould be ftudied in Englifh, I cannot underftand. Perhaps you will aik, to what purpofe is it ftudied at all ? We muft not be too ready with our cut bono? The Logick of the Peripatetics, I confefs, is little better than a ufelefs jargon ; and ( 69 ) and even the beft fyflem of Logick, confi- dered only as the art or inftrument of dif- putation, is more likely to confound truth than difcover it. A public logical difputa- tion refembles much the practice, in former times, of feeking truth by fmgle combat. He that was moft dexterous in the ufe of his weapons, whether a true or a falfe Knight, always proved victorious. Logick, I think, might as well have marched into oblivion with Knight-errantry,. Jufts and Tournaments. Neverthelefs, if I divefl Lo- gick of its Ariftotelian jargon; if I call it the art of thinking^ not of wrangling-, or ra- ther, if I call it not an art but zfcience, the knowledge of myfelf, of the origin and pro- grefs of my own ideas j a fyftem of Logick will then appear a delineation, a chart of the human underftanding, and confequently an object highly deferving my attention. But fuppofe it to be of no ufe as an in- ftrument of inveftigation, it is univerfally confidered as a branch of Academical learn- ing; no young gentleman therefore would run the rifk of appearing ignorant of Lo- gick as an art, its terms, and conftruclion. Befides, as the Univerfities chufe to make it E 3 the ( 70 ) the ladder to honours, it would be foolifh to kick it down till you have done with it. The following Outline of this Art of Jleafoning will give you a general idea of the fubjeft; without which, you would read your Duncan the firft time over, almofl en-. tirely in the dark. I have thrown the whole into four tables; which, being compared with the book as you proceed, will confi* fierably aflift your memory, sa -a* r - v- o- t- .UBiA^fH 1\> TABLE L L O G I C K. Perception Judgment Logkk< 'Ideas, whence Ideas fimple Ideas of fubflances f Ideas compound Ideas of the mind< Ideas abftraft Ideas of relation* Ideas, words the Signs of Definition ^ Composition and refolution "Judgment, grounds of Propositions, affirmat. and negau Prop, particular and univerfal Prop, abfolute and conditional Prop, fimple and compound .Prop, felfevident and demonilrat. 1 In general, and its parts Its object; to determine gen. &fpecics Reafoning < Regarding powers and properties Forms of Syllogifms (^Demonstration Method T f Analytic, tracing things backward to their fource. In general-^ Synthetic, deducing things from their firSl principles. Of Science, is that certain know- ledge which we derive from the contemplation of ourown Ideas, deduc- ed from intuitive pro- pofitions. E 4 TABLE ( 7* ) TABLE II. PERCEPTION.' Ideas, original from- Ideas of Subftances. I Senfation, as of Light, Darknefs, Heat, &c. as of Thinking, Doubt- ^ ing, Believing. ! Senfation, as Qualities, viz. Sound, Co- lour, Smell, or Reflexion, as Perception , Volition , &c. or from both : as Ideas of Pleafure, Pain, Power, : Unity. f* Material.' The union of Properties or \ Qualities, viz. Gold, Water, s. Man. Qualities or Modes are Eflential or Accidental, .or Immaterial, called Spirit. ("Compound, when many fimple Ideas are united, as in Beauty, G ratitude, Har- K33? aM I Abftraft: i. e. when feparatcd Ideas, framed by the Mind. ^ from the circumftances that render the Ideapar- ticular : it becomes ge- neral, viss. a Q , a O, &c. Relative, or Comparative, as Greater, JLefs, Older, Father, Son, &c. Ideas, words the figns of. But fimple Ideas not being de- finableas, White, Red words are capable ofcotn- municating complex Ideas only, unlefs the Simple Ideas exifted already in the mind of the perfon with whom we converfe ; but complex Ideas may be de- fined, as dnitnal, Rational, &c Definition : explains the meaning of words that ftand for complex Ideas. Definition of the Names of things is arbitrary and admits of no difpute : but, of the thing, is capable of proof and may therefore be doubu ed. Definitions are defcriptions of Ideas in the mind. Compofition and Refolution of our Ideas. In definitions we mould begin with Clafs, thence defcend to Orders, thence to Genera, thence to Species, thence to Indi- viduals'. TABLE ( 73 ) TABLE III. JUDGMENT. f Intuition : the immediate perception of the agreement or difagreement of any two Ideas: 'The whole is greater c ; than any of its parts. The foun- Jadgment f* m<; dation of Scientific Knowledge. Experience: the foundation of Natural Knowledge. _Teftimony : the foundation of Hiftory. "are Judgments put into words, affirming two or more Ideas to agree or difagree. They confift of Subject =: God f If a negative parti- ^^^^^^ Copula =r is 1 cle be added to the Propofitions^ Predicate omnipotent.] Copula, the Subject | and Predicate are dif- | joined : itisthencall- (,'ed a negative Pred. Univcrfal ; the rgns of which are all, every 9 . none, no. All men are mortal. Here the Predicate applies to every individual of the Subject. Propofit Proportions Particular; the figns of which zre/ome, a few, a part. Some Students are blockheads. Here for- tunately the Predicate applies but to part of the Subject. Abfolute : God is infinitely nvi/e. Conditional : If a Stone be expofed to the Sun, it will contract heat. Here the Pre- dicate is not neceffarily connected with the Subject. ("Simple, have one Subject and one Predicate: God isjuft. f have 2 Subjects and i Predicate: j God is wife and powerful or I Proportions^ | Subject and 2 Predicates : Kings Compound-^ are neither exempt from Pain nor I Death or 2 Subjects and 2 I Predicates : Riches and Honours elate \jhe Mind and increafe our Dejtres. "Selfevident: It is impojfible for the fame thing to be and not to be. Speculative Propofi- tions are Mathematical Axioms; Prac- ., f . l tical Propofitions are Pojlulata. tTopou ns \ Deponftra tiye ; The World had a b iginn - ing , spe- culative, 47th of the i ft book of Euclid. Practical, to defcribe af^uare on a given right line. ( 74 ) TABLE IV. REASONING. v n t . j j Reafoning in general is an operation of the mind deducing fome unknown Propofitions, from others that are known. Thefe previous Propofitions, which are called the Major and Minor of a Syllogifm, are, in a fimple act of Reafon- Ing, two in number, and mult be intuitive truths. Major : Every creature pcflejjed of reafon and liberty is ac- countable for bis atlians. Minor : Man is a treature fojjejjed of reafon and liberty. Reafoning, its object. To rank things under univerfal Ideas, called general and to, feparate tnefe intofpecies. Killing is the genus of which Murder and Man/daughter are fpecies. Reafoning, regarding powers and properties of things, and the relations of our general Ideas. The object of rea- foning is to difcover and afcribe to things their attri- butes and properties, by a fkilful application of inter-. mediate Ideas. To do this requires fome general know- ledge and particularly mathematical knowledge. Middle term Subject of the Major and Predicate of the Minor. SyOogifms, J 2. Middle term the Predicate of both. have 4 figures j 3. Middle term the Subject of both. 4. Middle term Predicate of Major and Sub- ject of the Minor. Syllogifms hypothetical or conditional : the Major always confifts of Antecedent and Confequent, the firlt im* plying the latter. Modus ponens, admits the Antecedent in the Minor. Modus tollens: the Minor rejects the Consequent. Entbjmemes: when one of thePropofuions is not-cxprefled. TABLE ( 75 ) TABLE IV. continued. Series, in which the Predicate of one fimple Syllogifm becomes the Subject of the next, and fo on, till the Subjeftof the firil, and Predicate of the laft uni te in the con clufion. Induction affirms of the whole what is true of all its parts : thus Quadrupeds mow, Reafonins by< B Ms move, Fijbesmove, lf e ts move, ergo 6 3 * all Animals mow. Dilemma proves the abfurdity of an afTertion. If the Major be affirmative, the conclufioa will be negative, and vice verfa : fo Eu- clid proves two figures to be equal, by ihevving the abfurdity of fuppofing them greater or lefs. Demonflration is a Series of Syllogifms whofe premifes are either definitions, felfevident truths, or propositions already eftabliflied. Demonftration is DireS ~ r " " LET. ( 76 ) LETTER X. THAT during your refidence at the Charter Houfe, you have forgotten all you knew of Arithmetic before your ad* mition, is no great wonder; nor is it any great misfortune. Arithmetic, (derived, you know, from afipog and pirgov) is a Science which fchool boys learn only as a mechani- cal art : they are taught, by certain iles, to pile up numbers and pull them down again, as, by way of amufement, they would the men of a Backgammon-table, without the leafl comprehenfion of the reafon for the rule, the powers of the numbers with which they work, or the nature of the operation. But when Arithmetic is firft propofed, as a new Science, to a young man capable of reflexion, he contemplates its appearance with the fame inquifitive eye, the fame cu-r riofity, the fame defire of information, that he would behold a ftranger pofTefling powers that could reach to the very gates of infinity. Such a Student will probably reafon thus. " Here are ten fymbolical characters, i, 2, 3> 4> 5> 6, 7, 8, 9, o; with which, when I am ( 77 ) am acquainted with their ufe, I (hall not only fignify diftinclly the greateft imagina- ble numbers; but fhall alfo be able by an artful pofition and dexterous ufe of them, to anfwer the moft difficult queftions in which numbers are concerned. The en- lightened Greeks and Romans knew nothing of thefe ten magical figures : they were, it feems, invented by the Arabians. It ap- pears to have been an invention infinitely ingenious and important, and I now ar- dently' .wilh for a philofophical acquaint- ance with thefe inftruments." The firft fmgularity which you will ob- ferve in thefe Arabian figures, is that, when any number of them fucceed each other, we eftimate them, as we read the Hebrew lan- guage, from right to left, thus, 796. The firft figure on the right hand \sjix units; the fecond, nine tens; the third, feven hundreds. If to thefe three figures I add three more, thus 428,796, they alfo exprefs, like the firft three, units, tens, hundreds ; the 8 is eight thoufand units, the 2 is twice ten thoufand or twenty thoufand units, and the 4 is four hundred thoufand units. If to thefe I add a feventh figure, it will exprefs fo many millions of units, an eighth figure fo ( 78 ) fo many tens of millions of units, and fo on: thus you perceive all numeration, be the fum ever fo great, is no more than a repetition of the denominations of the three firil figures. Thefe obfervations may appear trivial. Euclid's Geometry is built on felf-evident propofitions, which, to a learner, always feem trifling. It is impoflible to begin the ftudy of any Science too near its fource. We now proceed to the firft and mod fimple operation of Arithmetic called Addi- tion i for example To 25, the quarter of a hundred Add 75, three quarters of a hundred Sum 100 I reafon thus, 5 and 5 make 10; but I cannot put down ten in the unite's place, therefore I carry in my mind, this ten to the 7, which {lands in the ten's place ; thus the 7 becomes an 8, and this 8 added to the 2, makes ten tens. Now ten tens make one hundred; therefore I write a cypher in the ten's place and a one in that of hundreds : for, as I have but ten figures to work with, and as each of thefe exprefles units only, I can put down, after each addition, no more a than ( 79 ) than the number of units lefs than ten. The number of tens evidently belongs to the next column on the left hand j for, fuppofe I am adding the fecond column from the right, though I do nothing more than add units together, yet, occupying the fecond place, they are tens. In like manner,' every ten in the third column is ten hundred, and muft therefore be carried to the fourth co- lumn, the column of thoufands, and fo on. Thus far we are carried along by the ftream, without the lead trouble. Let us now confider the 25 and 75 as fractional parts of 100. In plainer terms, let us fup- pofe a rod of any length you pleafe, broken into a hundred pieces ; thefe pieces are pro- perly called broken, or fractional, parts of a hundred. But 25 being one fourth part of 100, and 75 being three quarters of 100, they might be thus written -J- and ^. How are thefe two fractions to be added fo as to make a hundred? The figure above the line is called the numerator , becaufe it indi- cates the number of parts, and the figure below the line is called the denominator^ be- caufe it denominates the kind of parts. In thefe two fractions they are both of the fame denomination, both fourths: therefore, in the the prefent cafe, I have nothing to do but to add the two numerators together for a new numerator, and fubfcribe the common denominator: the fraction will then ftand thus ^> that is, four fourths, equal to one whole: four fourths of a hundred make a hundred. But fuppofe the fractions were -J. and f-, I cannot add them together until I have brought them to the fame denomination: that is, until their denominators are alike; eighths and fourths cannot be accumulated in one homogeneous fum. I confider that in multiplying feparately any two figures by any one other figure, I neither increafe nor diminish their relative value; for, if I double, that is, if I multiply by 2, the two figures which I will fuppofe to fignify the half of a (hilling, viz. |, the i becomes a 2 and the 2 a 4, thus . Now one half of a fhilling is fix pence, and two fourths are twice three pence: hence, I firft quadruple, that is, multiply the two figures of the fecond frac- tion by 4, the denominator of the firft, and the product is 44- . I then multiply both the figures of the firft fraction by 8, the denomi- nator of the fecond, and find the product -A- Thus I have brought them to one denomi- nation ; ( 8i ) nation ; fo that I can now add the numera- tors 24 and 8 : the fum is 32 for a new nu- merator: my fraction therefore thus added is 4 equal to one whole, or one hundred : for all the parts of any thing muft be equal to the whole. This may be made ftill plainer, thus. Without any knowledge of Euclid, or of Arithmetic, a moment's reflexion con- vinces me, that, if I take equal quantities from any two numbers, their proportion to each other will remain the fame : fo that if I take half from the 44 there will remain 44 If I then take half from each of thefe fixteens, there will remain -J-. One ftep far- ther brings the fradlion to -; the next ftep to ~ and the laft to 4-> which is evidently the fame as one a whole numbers for one ones is one. Let us now confider, whether it be not poffible to manage this 25, the quarter, and this 75, the three quarters, of a hundred, without being troubled with thefe denomU nators beneath the line? You know I firft wrote them thus -i and ~. But if for the i I fubftitute 25, and for the three I take 75, I muft then write -j-Vo- and -/A. You re- member, that thefe denominators, thefe un- der figures, indicate the fpecies of parts: F they ( 82 ) they tell us, in the prefent cafe, that the 25 and 75 are parts of a hundred. Knowing therefore what they are, I can add them, fubtrac"l them one from the other, or work with them in any manner I pleafe, juft as I would with whole numbers. But before I difcover to you what I am about, another previous ftep is necefTary. Imagine that I have before me the frac- tion -i. I want to exprefs its value by a fin- gle figure, without this troublefome deno- minator. I know that I can multiply thefe two figures feparately by any other figure without altering their value, thus multiply- ing them by 5, the i becomes a 5 and the 2 a i o : the fraction therefore is now T V or -/A or -AAAr. I now perceive that I have no farther occafion for thefe denominators ; that in thefe Decimal Fractions one figure denotes tenths, two figures hundredths, three figures thoufandths: thus ,4 with a comma before it, fignifies four parts of ten; ,37 means thirty feven parts of a hundred ; ,365, are three hundred and fixty five parts of a thoufand. This being perfectly underftood, I can add thefe Decimals in the fame man- ner as whole numbers. For example, To To ,74. I proceed as in common Addition. Add ,39 The fum is 113. What is this fum? Why it is a 113 hundredth parts; for, there be- ing only two figures in either of the Deci- mals, it is evident, that when added together, the fum muft neceflarily confift of hun- dredths. But 113 hundredth parts make one entire hundred and 13 fractional parts of another hundred. The i therefore on the left hand ceafes to be a fraction: it be- comes what Arithmeticians call an Integer; that is, a whole number: fo that I muft point it thus 1,13. Hence the rule that in the addition of Decimals you muft point of as many figures as there are figures in. either of the numbers to be added. This rule you will find in all books of Arithmetic; but the authors of thefe books never give any reafon for the rule; it be- comes therefore a mere matter of memory and is foon forgotten. The ten figures ufed in vulgar and de- cimal Arithmetic are doubtlefs wonderful inftruments for the purpofe of calculation. Let us try however whether it be not poffi- ble to find other fymbols, which, by figni- F 2 fying ( 84 ) fying any fum at pleafure, may render cal- culation lefs laborious. Suppofe, for example, the letter b repre- fents 750!. If I have two creditors, each of which owe me exactly this fum, and I want to know the whole amount, according to the rules of addition in common Arithme- tic, I proceed in this manner 750 75 1500. Butfup- pofing the letter b to reprefent 750!. I then place the two fymbols under each other, thus To b Add b The fum is a, equal to 1500!. This Science, in which letters are ufed in- ftead of figures, is called 4lgebra> a word derived from the Arabic al-giabr wolmokabala, fignifying, the art of refolution and equatiojz. It is fuppofed to have been invented in In- dia, and that the Arabs received it from the Perfians. It is certain however that it was brought into Europe by the Moors,' who conquered Spain in the 8th century. The firft printed book in Algebra was written by by Lucas de Burgo, and publifhed at Venice, in the year 1494. You will be infinitely pleafed and aftonifhed at the power of this Science, when you become perfectly ac- quainted with its ufe. I am in this letter, fpeaking only of the various modes of Ad- dition, viz. of figures as fymbols of whole numbers, of vulgar fractions, of decimal fractions, and of letters as fymbols of num- ber or quantity. But, before we proceed with the addition of thefe Algebraic quantities, I muft tell you, that Algebraifts fuppofe every quantity, or letter, to be either pofitive, of which this + is their fign; or negative, which they mark thus . The firft they read plus y the other minus. You muft alfo remember, that when there is no fign prefixed, plus is always underftood, and that when there is no figure before the letter or quantity, the figure i is fuppofed. (i) (2) (3) (4) To3# To b To gx To + ^y Add a Add 2^ Add + i2,v Add gy Sum 40 3^ +3* zy * 3 (S) ( 86 ) (5) To 2C+3/& 7* Add 42 6^4" ^ Sum 2c-\-i > b 7-K+4* The truth of the firft example is very obvious. Suppofe a to reprefent any pofitive quantity, once a added to three times a muft make four times a. In the fecond example, the quantities are both negative : they reprefent a want or de- ficiency. Now a want of one fhilling added to a want of 2 (hillings, amounts to a want of 3 /hillings, or 3^. But in example the third, the figns are different. How is it poflible to add a pofi- tive to a negative quantity ? It is impoflible; but it is very evident, that by taking one out of the other j that is, by fubtracYmg the lefs from the greater, I (hall difcover the amount: for, if I have 12 fhillings in my pocket, and owe you 9, which 9 is, to me, a negative quantity, I have yet a pofitive 3 fhillings remaining} therefore the amount of my flock and debt taken together, may be properly exprefTed by +3*. This, I confefs, is a fpecies of Irifh Addition, per- formed by Subtraction: it is, neverthelefs, con-* confidered as an operation of Addition in all the books of Algebra. In the fourth example the figns are again diflimilar; but here the negative fum exceeds the pofitive. No matter: I fubtraft the lefs from the greater, as in the former example, and to the remainder 2, I prefix the fign of minus-, for, if I owe you 9 (hillings and can pay you only 7, there is a deficiency of 2, properly expreffed by 2y. In contemplating the fifth example, I im- mediately perceive, that there are no two quantities alike 5 and, as I am ignorant what thefe feveral letters, or quantities, may fig- nify, it is impoflible to add them by any other means, than by writing them down in fucceflion with their refpeftive figns, as in the under-written fum. If you take the trouble to read this letter a fecond time, with any degree of attention, you will not only comprehend the nature of Addition of whole numbers, vulgar and decimal fractions and of Algebraic quanti- ties; but you will have acquired a general idea of thefe feveral modes of computation. This general idea will confiderably facilitate your progrefs in mathematical learning. F 4 LET- ( 88 ) LETTER XI. IN my laft letter, I endeavoured to give you a clear idea of the feveral contriv- ances for the addition, or accumulation, of numbers or quantities. They are all found- ed on the fame principle ; their object is the fame, and, being thus linked together, mu- tually illuftrating each other, feem moft likely to imprefs the mind fcientifically. I fhall now proceed to SUBTRACTION, the rationale of which you will eafily compre- hend. The defign of this operation is, by taking a lefs number from a greater, to dif- Cover the difference. For example, From 769 Take 436 Sum 333 Beginning with the firft figure on the right, I fay 6 from 9 there remains 3 ; then 3 from 6, there remains 33 and laftly, 4 from 7 and the remainder is 3. To prove that I am right, I add thefum to the lefs of the two numbers above, and find, that to- gether, they make 769. Again: ( 89 ) Again: From 9312 Take 7434 Sum 1878 If you were totally ignorant of the firft rules of Arithmetic, you would not imme- diately difcover by what means 4 could be fubtrafted from 2, or 3 from i, or again 4 from 3. But, if in your mind, you take ten from the next figure and add it to the 2, you can then fubtracl: the 4 from 12 and the remainder will be 8. You now pro- ceed to the next figure 3, which you are to fubtracl: from the i above it, but as you have already taken 10 from this i, which flanding in the ten's place is one ten, it be- comes a o ; therefore you are to fubtracl: 3 from o: this being impoflible, you again take ten from the next figure and fubtracl:- ing 3 from ten, you put down 7. You are now to take 4 from the 3 above j but this 3 is, in fact, only 2, for the fame reafon that the 1 became a o ; 4 cannot be fubtracled from 2 j I therefore take ten from the 9000, and fay 4 from 12, there remains 8. But you are to obferve, though I call it taking ten from the next figure, that, when from the 3 I took 10, in facl: I took 1005 properly fpeak- ( 9 ) fpeaking, therefore, I fhould have faid, 30 from o Ts impoflible; but 30 from 100, there remains 70. In like manner, the 10 which I took from the 9, was in reality 1000: fo that in taking 4 from 12, I was really fub- tradting 400 from 1200. You now pro- ceed to the 7, and, recollecting that one of the thoufands was ufed among the hun- dreds, you fay 7 from 8, or rather 7000 from 8000, there remains 1000. You will probably think that I have been unneceflarily minute in a matter of little importance. Nothing is unimportant that may throw a (ingle ray of light on the threfhold of Science. I am thus explicit on the Subtraction of whole numbers, becaufe the manner in which it is taught in our fchools, feems particularly defigned to pre- vent the boys from conceiving any more than a mechanical idea of the operation: or, if they have any other idea at all, it is certainly falfe. They are inftrucled to bor- row ten from the next figure in the upper line, which ten they afterwards call one and reftore it to the next figure in the under line. Now, though the refult be the fame, whether I increafe the lower, or diminifh the upper line, by one, why miflead the learner ( 91 ) learner by a falfe operation? why ufe the improper term borrow! It implies the ne- ceffity of reftoration. But, in fact, there is nothing borrowed, and confequently no- thing to be reftored. What is taken from the next figure, is taken abfolutely and ufed : it has already, prematurely, yielded its fub- traclive part, and therefore is not liable to a fecond diminution: The figure from which it was taken, if it ftand in the 2d place from the right, has loft ten of its value; if in the 3d it has loft a 100: fo that if the figure be a 7, I confider it as a 6, and aft accordingly. I now proceed to give you a general no- tion of {ubtra&mg fractional numbers from each other. If, for example, you were re- quired to take t from > it is very evident that the remainder will be -J-, or ~: fo that when the denominators are the fame, you have nothing to do, but to fubtraft the lefs numerator from the greater. If the denominators be not the fame, re- duce them to fraftions of the fame denomi- nation, by multiplying each numerator into the other's denominator for two new nume- rators, and the denominators by each other, for a common denominator 5 then proceed as ( 92 ) as in the laft example, thus: Suppofe the two fractions to be and 4; reduced to the fame denomination, they become {4 and -4; the numerators of which being fubtracted from each other, the remaining fraction is j-j- 4 You remember that, in thefe vulgar frac- tions, the under figure tells you the parts into which the upper figure is fuppofed to be divided, and the upper figure indicates the number of thefe parts : the denominator therefore is confidered as the devifor and the numerator as the dividend. But you will afk, how can a lefs number be divided by a greater, a 7 by 8, or 3 by 5, or i by 2? Would you find any difficulty in cutting this orange in two? No Well: What are thefe two pieces? They are two halves. Then it is evident that i orange may be di- vided into, or by, 2, and that ~ would exprefs one of thefe halves: to halve a number therefore is to divide it by 2. But to render this numerator i actually divifible by the denominator 2, let us fup- pofe it to confift of ten equal parts: we therefore add a cypher to it and call it 10 parts inftead of i whole number. I now write the fraction V 3 that is, 10 divided by ( 93 ) 2 ; and, proceeding to divide the numerator by the denominator, by afking how often 2 in 10 tenths, the anfwer is 5 tenths; which 5 having 10 for its denominator, I call a decimal fraction. So that the way to reduce a vulgar fraction to a decimal, I find, is to add a cypher to the numerator and divide by the denominator. If I had added two cyphers and divided by 2, the product would have been ,50 that is, 50 parts of 100; equal to 5 parts of 103 equal to 4- or i di- vided by 2. According to this rule, let us reduce 4 to a decimal fraction. Adding one cypher to the 3 it becomes 30, and dividing 30 by 5 the anfwer is 6, that is -r%- which being a decimal, I write thus ,6. So the vulgar fraction 4- reduced to a decimal is ,5, and 4- is ,6. This 5 may be fubtracted from the 6, as in fubtraction of whole numbers, and the remainder is ,i; that is, one tenth: for as both the 5 and 6 are tenth parts of an unit, the remaining i muft necetfarily be - of an unit. Let us ,now confider the Subtraction of Algebraic quantities. This is the Rule. Re- verfe the Jigns of the quantity to be fubtratted and proceed as in Addition : for example, (0 ( 94 ) (0 (a)' From 3 a From 2 b Take a Take b b 21 x ~W From gy Take jy In the firft and fecond of thefe examples, the figns, in both quantities, are alike: but, if I fuppofe the fign of the fufttrahend to be reverfed, they are then oppofite. Now the rule in Addition is, when thejigns are not the fame tfubtr aft the lefsfrom the greater^ and put down the remainder with the Jign of the greater: hence a from 3^, and the remain- der is 2 a. In like manner b from 2^, there remains b. In the third and fourth examples, the figns are oppofite; but fuppofing the figns of the fubtrahends to be reverfed, they will then become fimilar to thofe of the quan- tities above them: I have therefore nothing to do but to add the figures, (which are called Coefficients,) as in common Arithme- tic, prefixing the common fign of both. Thus ( 95 ) Thus it appears, that Subtraction differs from Addition only in reverfing the figns of the fubtrahend. This i all very true. Thefe are the rules which you- will find in the elementary books of Algebra. But this confounding Sub- traction with Addition, ferves only to jum- ble the ideas of the learner. The following general rule is fuffident both for Addition and Subtraction. In Addition, when the Jlgm are the fame, ADD; when they are oppojlte> SUBTRACT. In Subtraction, when the figns are the fame, SUB- TRACT; when oppojite, ADD. This rule be- ing obferved, you proceed naturally, with- out any fuppofed change of figns. The reafons for the three firft parts of this Rule are felf-evident : the laft requires explana- tion. I have faid, that, in Subtraction, when the figns are oppofite, that is, when one is + and the other , you are to add the co- efficients. How, you will afk, will this ad- dition be in reality a fubtraction. I will firft prove the fact, and then account for it. From iotf 56 To loa 56 Take 56 Add +56 loa ' loa In ( 96 ) In both cafes you fee the remainder is the fame. Suppofe, by way of illuftration, after a ballot, I find in the bag 10 white balls and 5 black ones. If I take out the black balls, there will remain 10 white balls in the bag. But if before I take out any of the balls, I put in 5 white ones, and then take out the 5 black balls with the fame number of white ones to ballance them, there will remain in the bag 10 white balls as before. Or fup- pofe you were five pounds in my debt, and that you are worth nothing, you are then five pounds worfe than nothing. Your cafh account is 5 pounds. But if any friend fhould pay the debt, by thus adding his + five pounds to your five pounds, he actu- ally fubtrafts your debt : fo that, in this cafe, addition and fubtradlion are the fame. LET. ( 97 ) LETTER XII. IS U PP O S E you have not forgotten your Multiplication-table. If you have it not quite perfect, fpend half an hour in giving it a firm eftablifliment in your memory; for the leaft miftake or hefitation in the mechanical part of multiplication, will leave a bad impreflion on the mind of your Tutor. The operation of multiplying one row of figures by another, is eafily learnt, but not generally underftood. I will endeavour to explain it by a (hort example. It is necef- fary however, previoufly to obferve, that Multiplication and Addition are in reality the fame: thus, Add . \ 3 (3 Sum o Multiply 3 b y - 2. Produft 9 The ( 98 ) The modus opcrandl in Multiplication is as follows. Multiply 425 by . 213 In the above" example, beginning with the firft figure on the right hand, I fay, in the common language of the fchool, 3 times 5 is 15, put down 5 and carry i; 3 times 2 is 6, and i that I brought is 7; 3 times 4 is J2, put down 12. I then take the fecond figure, from the right, of the multiplier , and with it multiply all the figures of the mul- tiplicand as before, putting down the pro- duel in a fecond line taking care to place the firft figure under the fecond figure of the firft line. I then proceed in the fame manner with the third figure of the multi- plier, placing the firft figure of the refult under the third of the firft product; as you fee in the example. The feparate refults of thefe three multiplications being thus ar- ranged beneath each other, I add them to- gether and the fum is the product of the whole ( 99 ) whole multiplication. This may be all very true: the method of multiplying, of carry- ing one to the next figure, of arranging the feveral rows inclining gradually to the left may be rational, but the reafon is not very apparent. Let us try to explain the operation and demonftrate the truth of the refult. I am to multiply 425 by '2 1 3 Firft, I fay, 3 times 5 make ; 15 Secondly, 3 times 20 make . 60 thirdly , 3 times 400 make . 1200 I now begin to work with the figure i : remembering it is a ten, I fay, ten times 5 make . 50 Then, ten times 20 make . . 200 And ten times 400 make . . 4000 I now multiply with the figure 2, re- membering that it is 200: thus 200 times 5 make . . 1000 Secondly, 200 times 20 make . 4000 Laftly, 200 times 400 make . 80000 Now thefe added together make . 90525 as before: fo that the ufual concife method of Multiplication is demonftrably true. From the foregoing example it is impof- o 2 fible ( I OP ) fible not to underftand the rationale of mul* ti plying whole numbers: the multiplication of fractions is equally eafy and intelligible. For example, Multiply by 4. The rule is, multiply the numerators for a new numerator and the denominators for a new denominator : thus twice 3 are 6, and 3 times 4 are 12: the fraction will be -j-V or -J- or 4-. To prove the truth of this operation, we will fuppofe thefe fractions to be parts of a fhilling, or pence. Now, two thirds of a Ihilling are 8 pence, and three fourths of a (hilling are 9 pence: 8 times 9 make 7 2 pence; that is 44 or parts of a fhilling. But recol- lecting that I can reduce this fraction to one of equal value by dividing the nume- rator and denominator by the fame num- ber, I divide them by 6, and then fubftitute V, that is, 12 divided by 2 : but to divide a number by 2, is to halve that number \ fo that the refult is ~ of a fhilling or 6 pence, th fame as above. The Multiplication of Decimals differs not in the leaft from that of whole numbers, except that, in the product, you are to point off as many figures as there are decimals in the multiplier and multiplicand; thus, I O,6 9 2 There being two decimals in the multipli- cand and one in the multiplier, I point off three decimals in the product. In the multiplication of Algebraic quan- tities, you have only to write the letters in. a line one after the other; to multiply the coefficients as in common Arithmetic, and, when the figns are fimilar, to prefix the fign +> when difiimilar , thus, Multiply a Multiply c Multiply d By b By d By + e Product ab -\-cd -de Multiply 1 2 x Multiply A: -f-jr By 37 % 36*7 xx-\-xy xy+yy This, you will fay, is very eafy and per- fectly clear, as to the manner of working: but G 3 you ( 102 ) you will not, without a little reflection, dif r cover the reafon why, when the figns of the multiplier and multiplicand, are different, you are always to prefix the negative fign to the product. I will endeavour to explain this matter. Pofitive and negative quantities are con r fidered as diametrically oppofite. If from a given point I draw a line to the right, I may call it pofitivej then a line from the fame point, drawn to the left, may be con- iidered as a negative line. Or, if I place a cypher in the middle and continue a line of figures both ways, thus 4321 o 1234, thofe on the right are more than nothing; thofe on the left I will imagine lefs. The firft may exprefs money which I pofTefs, the latter, money which I owe. Let us fuppofe, for example, that I find, in three different parts of my account-book, a debt of 15!. which I have borrowed of a friend. I exprefs it thus . . . 15: and finding it three time repeat- ed, I multiply by . . + 3 : that is, J tripple the debt, and confequently the prqduft is . 45 . Jf, on the contrary, I fuppofe this 15 to repre T reprefent all the guineas in my purfe, I write it thus . . . +15- But I owe 3 times 15 guineas; I therefore prefix the negative fign 3. And the product is 45, as before: Now fuppofing the letter a to ftand for 15 guineas, the real ftate of my account may be thus algebraically represented . . . a 3#= 30. That is, I am 30 guineas worfe than nothing. In both cafes the pro- priety of prefixing the negative fign is evi- dent, becaufe the product is really a defect. In multiplying a negative quantity, or defi- ciency, or debt, I am adding it to itfelf as often as there are units in the multiplier. I thus increafe the debt, but I do not thereby alter its nature: it flill remains a debt, and therefore retains its negative fign. To un- derftand the other cafe, viz. when a pofitive quantity is multiplied by a negative, it is neceflary to recollect, that to multiply my debts, is in fact, to fubtract from my real fubftancej therefore, though I work by multiplication, when the multiplier has the negative fign, I am actually fubtracting the multiplicand from reality; that is, reducing Q 4 it it below nothing, as many times as there are units in the multiplier; therefore the product muft neceflarily be a negative quan- tity. But you will afk, what is the reafon that when two negative quantities are multiplied by each other, the product muft have a po- fitive fign ? The reafon is plain : for, if to multiply by a negative quantity be to fub- tract, then fuch multiplication is actually fubtracting from the Debtor page of my ac- count-book, which has the fame effect as if the fum were added to the Creditor fide. To fubtract minus is the fame thing as to add plus. If I difcharge, or take away your debt of a guinea at the fruit-mop, it is cer- tainly equivalent to my giving you a guinea. But before I conclude this introduction to Multiplication for it is no more than an introduction it is neceffary to obferve, that the multiplier, whether it be a pofitive or a negative quantity, or, whatfoever it may be called, is always nothing more than a number, without any real denomination. A pound cannot be multiplied by a pound, nor a mile by a mile. LET- LETTER XIII: IN this letter I mean to call your atten- tion to the Divifion of whole numbers, fra6lions, and of algebraical quantities. As Subtraction is the reverfe of Addition, fo is Divifion the reverfe of Multiplication. But we have feen that Multiplication is really a compendious Addition, and you will foon perceive, that Divifion is nothing more than a method of determining, how many times a lefs number is contained in, or may be fubtracled from, a greater ; fo that all the various operations of Arithmetic, are in faft, Additions or Subtractions. For example, Add Sum 3 5 In the fourth of thefe examples, the 5 on the left is called the divifor^ the 7 is the di- vidend, '5 Multiply 5 From 7 5 By _ _7 Take 5 5 Produft" 35 Remains 2 5 i * 5 5 5)7(i 15 vidend, the i is the quotient, and the 2, the remainder. But that you may fee the whole operation of Divifion, we will take an ex- ample of more figures. Divide 7634 by 8, J difpofe thefe two numbers thus 8)7 6 34(9S4 ZL 43 40 34 3 2 2. I begin by afking, how many times 8 is contained in 76? Recollecting that 9 times 8 make 72, I write 9 in the quotient and 72 under 76, which 72 I fubtract from 76, and drawing a line acrofs, I write under it the remainder 4, to which I bring down the figure 3 from the dividend. I now afk, how often 8 in 43 ? 5 times 8 make 40, which being fubtrac"led from 43, there remains 3. To this 3 I annex the laft figure of the di- vidend. I then afk, how often 8 in 34? 4 times 8 is 32: I therefore write 4 in the quotient, and fubtra&ing 32 from 34, the remainder is 2. Hence, Hence, I learn, that from the number 7634, 8 may be fubtracted 954 times, and there will remain a furplus of 2. What is this 2 ? It is a fraction. It is 4. But to render this more intelligible, let us fuppofe 7634 to be fo many pounds fterling be^ queathed to be equally divided among 8 Legatees : the quotient tells me, that they are entitled to 954^. each, and 4; that is, two eighths of a pound: this remainder therefore muft be multiplied by 20 in order to reduce it to {hillings. The product is 40, which being divided by 8, gives 5: fo that each Legatee will receive 954^. 5*- I have faid that Divifipn is the reverfe of Multiplication. We will put this aflertion to the proof by trying to rebuild, by the laft, what, by the firft, we have pulled down. If 8 be contained 954 times in 7634, then the firft of thefe two numbers multiplied by 8, with the addition of the remainder 2, muft pruduce the laft. Multiply 954 By 8 Add This ( io8 ) This product proves, not only that Mul- tiplication and Divifion are the reverfe of each other; but that the Quotient was juft. According to the plan I have obferved in Addition, Subtraction, and Multiplication, we now proceed to the Divifion of Vulgar Fractions. Firft, let us try to divide a frac- tion by a whole number. Divide 4- by 3. Now a moment's reflec- tion tells me, that I have nothing to do with the denominator, which is put not to indi- cate the number but the kind of parts : there- fore I muft divide the numerator 6 by 3 and the quotient will be -. We will, by way of illuftration, fuppofe this denomina- tor to indicate parts of a guinea. Now, 7 times 3 is 215 therefore, one feventh of a guinea is 3 (hillings: 6 times 3 make 18; therefore 4- of a guinea are 18 {hillings, that is, tf. I now afk, how often 3 (hillings in 1 8. The anfwer is 6 (hillings or \ of a guinea. Let us now try to divide a fraction by a For example, Divide ^ by 4. This is the rule : Multiply the Numerator of the Dividend by the Denominator of the Divi- for, for a new Numerator ', and the Denomma- S tor tor of the Dividend by the Numerator of the Diviforyfor a new Denominator. Let us place thefe two fractions as in common divifion and try T)T(^- There is yet a fhorter and a plainer rale, viz. Reverfe one of the fractions - 3 then multiply the two numerators and the two denominator si thus 4-)l(44 The quotient, I find, is 15 divided by 14.' But why this multiplication fhould be, in fact, divi/ion^ is by no means obvious : nor do I recollect any author who explains it furH- ciently. Firft, let us confider, thatfevenths cannot be divided into thirds: therefore, fup- pofe I had never heard of any rule for di- viding one fraction by another, I fhould na- turally begin by multiplying the numera- tors and denominators reciprocally, for two new numerators; and the denominators, for a common denominator: the refult of which operation would be 4:4-, 44. Now all the difficulty is vanifhed. 'Since the denomina- tors are the fame, they become ufelefs, and I can add, fubtract, multiply, or divide the numerators in the fame manner as if they were whole numbers. Now as 4:4- is equi- valent to the dividend, and 44 equal to the divifor, the quotient mull be 44 But ( no ) But all this does not explain the rule : for you fee that we have done without it. The rule, you know, is, to multiply the nume- rators by the denominators reciprocally. Now what is this, but reducing the two fractions to one denomination, and then dividing the greater numerator by the lefs ? So that after all, this multiplication is merely the inftrument for reducing the two frac- tions to a common denomination, and not an actual divifion. But to prove that our quotient is juft, we will try whether, when multiplied by the divifor, the product will be the dividend. 15 14 30 10 $ _______ C^Ji. L>. J: J. 42 H 7. 30 42 The Divifion of Decimal Fractions dif- fers from the divifion of whole numbers only in the art of pointing off the figures in the quotient: and the rule is- Point off in the quotient as many figures, counting from the right hand, as the number of decimals in the dividend exceeds thofe in the divifor. In other words : the number of decimals in the quotient and divifor, muft together, equal the number of thofe in the dividend: con- confequently, when the number of decimal figures in the divifor and dividend is equal, the quotient will be whole numbers. 4,2)612,318(145,79 42 In the dividend there are 3 decimal fi- gures j in the divifor, but one: therefore, according to the above rule, I point off two figures in the quotient for decimals, the reft being whole numbers. We come now to the Divifion of Alge- braic quantities. Firjiy you are to remember that (as in Multiplication) fimilar figns give -f- and dif- fimilar in the quotient. Secondly, that when fimilar quantities occur both in the divifor and in the dividend, thefe quantities may ( II* ) may be expunged. Thirdly, that the quo- tient is generally exprefled by placing the dividend above and the divifor beneath a line drawn between them, as in vulgar frac- tions. Fourthly, that coefficients are to be divided as in common Arithmetic j or di- vided by a common meafure, In this example, I have divided the co- efficients by 5 and expunged the letter a. The reafon for dividing the figures by a common meafure is felf-evident, and the reafon for expunging this letter a will be no lefs obvious when you recollect, that letters, or quantities, thus written next to each other, as ad and ac, are fuppofed to be mul- tiplied one by the other; and that, in vulgar fractions, the numerator and denominator, that is, the dividend and divifor, being mul- tiplied or divided by the fame number, makes no alteration in their ralative value. But, to render this matter more intelligible, let us fuppofe ac, the dividend, to reprefent 4 multiplied by 6, and ad, the divifor, to mean 4 multiplied by 2: now 4 times 6 make 24, and twice 4 is 8. If I divide 24 by 8 the quotient is 3. But if I take 4, of which ( "3 ) which a is the reprefentative, from both, the dividend will be 6, and the divifor 2. I then fay, how often 2 in 6? the anfwer is 3, as before. As to the Divifion of Algebraical Frac- tions, it is performed, as in Vulgar Frac- tions, by multiplying the numerators and denominators reciprocally, thus c\a fad a-\-b\ab(a zab + b* d)~b\7b' ^b)~~^r\ , (imbuh) to diftinguifli them from the difciples of Xenocrates, who aflum- ed the name of Academics^ becaufe they af- fembled, at Athens, in the Academy \ whilft H the the Peripatetics walked in the Lyceum. From this fcrap of Grecian hiftory, I fuppofe, the Artifts in London, when they quarrelled with their brethren of the Royal Academy, dignified their room in the Strand, with the appellation of the Lyceum. Whether thefe Peripatetics ftudied in company or alone, may admit of doubt fuf- ficient to furnifh matter of difcuflion to a commentator on the Grecian hiftory: be the fact however as it might, I advife you fometimes to ftroll out without company. If you wifh to fix your ferious attention to any fubje6l of confequence; or, if you be particularly defirous of exerting, ftimulating and expanding your imagination, you will find more affiftance in the fields, from a genial atmofphere, a ferene Iky, a fmiling landfcape, an extended horizon, than from the books on your table. I do not mean that you fhould become a mifanthrope ; that you fhould always walk alone 5 far from it: chearful company is occafionally as necef- fary to a ftudious man as the air he breaths. But, as I obferve that parties of frefhmen, 'in their walks, generally amufe themfelves with leaping over hedges and ditches, though fuch athletic fports may be very wholefome, vet ( "7 ) yet I fliould think it not neceflary that every perambulation fhould be thus employed. Ariftotle, we are told, wrote no lefs than four hundred books. If they were books of any fize; if they were even pamphlets, they can hardly have been worth reading. I be- lieve, in general, thofe authors that have written leafl, have written beft. About twenty of thefe books are all that have ef- caped the deftruftive hand of Time, and the more relentlefs hand of Barbarifm. The fubjects on which they treat, are ethics, poe- try* ^gic, rhetoric, politics, phyjics, and rneta-* phyjics. But, as he wrote without fyftem, without data, without method, and without precifion, it is very difficult to afcertain his opinions: and what greatly adds to the un- certainty is, that his works have come down to us through the turbid medium of Latin tranflations from the Arabic, or Greek tran- ilations from the Latin. Ariftotle appears, however, to have been the inventor of the art which we now call Logic, and of the fcience of Metaphyfics. His Ethics deferve but little praife. His Politics are prolix and obfcure: neverthe- lefs, we muft do him the juftice to acknow- ledge, that, though preceptor to the fon of H 3 an ( "8 ) an abfolute prince, he had the refolution to devulge, and to reafon juftly on, the patrio- tic maxim, that princes are elevated to domi- nion, not for their own advantage ', but for the felicity of f he people. He defcribes the vari- ous forms of government then exifting; ex- pofes their vices, and develops the caufes of their corruption. His fyftem of Rhetoric is doubtlefs a work of genius, and the labour of a mind capable of minute difcrimination. His Lo- gic is the Logic of every fucceeding age, and of the prefent day. His Phyfics, or Philofophy had no foundation. What he wrote, or rather what he is fuppofed to have written, upon Plants, is of very doubtful origin. But his book upon the Animal crea- tion, is allowed to be genuine, and is indeed an aftonifhing performance. His anatomi- cal and phyfiologicaldefcriptions, muft have been the refult of innumerable difledions, unwearied affiduity, minute infpecYion, and great fagacity. He appears to have had no idea of fyftem or claffification. His work is a continued defcriptive comparifon of one animal with another, without a perfect identical defcription of any individual. The various fubjefts which he diflecled, and whole \vhofe habits he fo well defcribes, were col- le51ed at a vaft expence, by order of his mu- nificent and powerful pupil, prince, and pa- tron, the conquerer of the then known world. His philofophical opinions are to be col- lected principally from his books de Casio. He confidered matter, form and privation as the principles of all things, and this matter he conceived to be eternal and indeftruftible. His elements are Fire, Air, Water and Earth. Thefe have flood their ground pretty well, till difturbed by the chemical philofophy of the prefent age, of which I may probably tell you more another time. He denied the annual and diurnal motion of the Earth, which Pythagoras had aflerted, and was confequently weak enough to fuppofe that the Sun, the Planets, and the fixed Stars j in fhort, the whole vifible creation, turned daily round this atom, which we call Earth. Strange! that he fhould not allow common fenfe to the Creator of the Univerle, who had given him fo great a fhare of human understanding. When and where he died is not known ; but his philofophy lived and flourifhed uni- verfally till towards the end of the lad cen- H 4 tury: ( 120 ) tury : being then gradually undermined by other philosophers, Des Cartes finally blew it up, whofe bafelefs fabric, as I told you before, was, in its turn, annihilated by Sir Ifaac Newton. I faid above, that Ariftotle's fyftem of Rhetoric is a work of genius. It is an art which was formerly confidered as an indif- penfible branch of education in every part of Europe, and was accordingly taught, firfl in the fchools, and afterwards purfued at the Univerfity, in Ariftotle's technical lan- guage and manner. It has however gra- dually fallen into difufe: neverthelefs, as fome of the technical terms of this art are retained, it is necefiary you fhould know their meaning; I will therefore apply the remaining part of this letter to the expla- nation of thofe terms which are moft necef- fary to be underftood. Rhetoric^ from gw, dico> the Romans tran- flated Oratoria-j by which they underftood, the Art of fpeaking with efFec\; the Art of perfuafion. That it was an art in high efteem and cultivation among the Greeks, appears from Quintilian, who, I think, men- tions upwards of twenty eminent profeflbrs of Rhetoric, in different parts of Greece. The The Romans, notwithstanding their ea- gernefs to learn from their more polifhed neighbours the Greeks, were, at firft, fo ap- prehenfive of the power of Oratory, that, by a decree of the Senate, they banifhed all Greek philofophers and rhetoricians. The prohibition, however, was of no long dura- tion. Rhetoric was foon after fludied and taught as an art, and Rome produced a Quintilian and a Cicero. That fome advantage may be derived from the ftudy of Rhetoric, I have no doubt ; but, that the great art of Perfuafion is ge- nerally a boon from Nature, I am much more inclined to believe. The mod fluent and moft perfpicuous fpeaker I ever heard, was a Leeds merchant, the brother of Mr. John Lee, a gentleman eminent at the bar, and, fome time, Solicitor General. Yet this Mr. Thomas Lee probably had never read Ariftotle, Quintilian, Longinus, nor any fyftem of Rhetoric ancient or modern. We have at this time in both houfes of Parlia- ment, orators, fcarce, if at all, inferior to thofe of Athens or Rome; yet thefe are more the pupils of Nature than of Art. The purpofe of Logic is, to convince; that of Rhetoric, to perfuadej and this art of of perfuafion depends moft on a natural melodious tone of voice, a natural graceful- nefs of perfon and of action, a naturally expreffive and interefting form and dilpofi- tion of features : by interefting, I rather mean what the French exprefs by the word preve- nante, for which we have no equivalent in our language I fay, the power of an Ora- tor over his audience, will always depend, in a great degree, on that which art cannot beftow : neverthelefs, the beft gifts of nature want a little poliming. I have heard fome eloquent members in the Houfe of Com- mons, who would have been much more perfuafive fpeakers, if they had ever learnt to dance: and though grammars, or fyftems of Rhetoric, may contribute nothing to the creation or embelliftiment of a fine fpeaker^ yet thofe who are intended for the pulpit, the bar, or have any profpect of a feat in Parliament, will gather much ufeful in- flection and improvement, from a careful and frequent reading of Longinus and Quin- tilian, and, for illuftration and example, Demofthenes and Cicero -, nor fhould they neglect, in our own language, Sheridan 's Letfures on Elocution: they contain a great deal of excellent matter. As ( 123 ) As to artificial Logic, the Logic of the fchools, it is of no more ufe in polifhed dif- putation, than artificial Rhetoric to a po- lifhed Orator. One of the moil rational and powerful difputants I ever knew, was my late worthy friend Edward Gillyatt, of the Bankj yet he was totally ignorant of Logic, as an art. But, notwithftanding the inutility of thefe two arts, they are necef- fary to be known by every gentleman who is not afhamed to acknowledge, that he has had the advantage of an Univerfity educa- tion. I will therefore give you a flight fketch of the art of Rhetoric, and an expla- nation of thofe terms of that art, which are moft neceflary to be underftood. The Art of Rhetoric comprehends, In- vention, Difpofltion, Elocution and Pro- nunciation. As Grammar teaches the art of fpeaking properly, Rhetoric inftrufts us how to fpeak with elegance and efFe6l. The two great instruments of this art, are Trope and Figure. TROPE, ^Trcpus, TQOTTOS from rpiru, muto, literally means a change of one word for another: eft vcifis a prof no fignificatiom in allam immutatio. It is a word ufed not in its ( 124 ) its common acceptation, for the purpofe of adding power or beauty to the fentence. Th^ fpecies of this genus are four, viz, Metaphora, peraQoftot, from jttera, trans, and Qeguy fero. It is a fimile expreffed in one word, thus Toufiine afcholar.* *fhe tinkling of that rill is mufic. 'That lad is a lion. That girl is an angeL Eftflos nobilitatis, &c. Metonymia, from j^era, and ovopa,, nomen, a change of name: thus, when the caufe is put for the effect, as, Tou fpeak the French tongue. Or, the effect for the caufe, as in the firft Ode of Horace, Prtefidium et dulce decus meum. Or, when thefubject is put for the adjunct: thus, Roma pro Romanis, vel patera pro may feem to be the work of Nature. It is evidently a miftake. Nature may give fine features and limbs fafliioned in her beft mould, to a clown j but, whoever beheld a clown {land- ing in a graceful attitude, or raife his arm like Veftrisl It is evident that gracefulnefs in reading, in fpeaking, and in acting, is incompatible with the leaft degree of em- I barraff- barrafTment. If an Orator be not perfectly at eafe, he will give to his audience rather pain than pleafure: they perceive his em- bar raflment, and they feel it : let it, there- fore, be his firfl care, to diveft himfelf of that troublefome companion which the French call mauvaife honte-, that offspring of confcious inferiority; that badge of low breeding; that frequent, very frequent, ob- flacle in the road to pre-eminence; that dif- grace of man ! But, you will afk me, by what means this gracefulnefs, this urbanity of manner, is to be attained ? Is it by precepts or rules ? By neither; but by example and by prac- tice: for, without example, you can form no idea of aje nefcai quoi; a thing incapable of defcription. Yet, in faying, that it is to be learnt by example, I do not mean that the manner of any individual orator is to be copied. No: he mud be ftudied folely for the purpofe of afllfting your mind in form- ing a juft idea of that kincj of action and at- titude, which, at once, diftinguifhes a man of the polite world from a ruftic. Where are we to look for thefe examples, thefe modals of gracefulnefs? In the Se- nate ? I have heard, in my time, fome graceful graceful fpeakers in either houfe mod in the houfe of Lords j but many more in both, who would have difgraced a debating fociety in the City. Shall we then feek thefe mo- dels at the Bar? I fear, at the Bar, there is not much grace to be found: yet there are, who both fpeak and aft like gentlemen. The pulpit?-*- Alas! the orators from the pulpit, have, in this kingdom, long fince, refigned 0$/0, the moft powerful inftrument of Rhetoric, to St. Crifpin and his difciples. The Stage, then, is our dernier e refort; and a miferable refort it is ! There are not, in general, a more I will not fay gracelefs* you would call it a pun; but, I will fay, a more aukwttrd fraternity of gentlemen , any where to be found. If, however, you wifh to form a juft idea of all the beauty arifing from attitude and from motion, (particu- larly of the arms,) of which the human body is capable, you will fee it not to imitate in the perfon of an Opera Dancer. Hamlet's inftruclion to a fet of {trolling players, will illuflrate what I have written. f Speak the fpeech, I pray you, as I pro- nounced it to you, trippingly on the tongue: but if you mouth it, as many of our Players do, I had as lieve the Town-cryer had fpoke 12 my my lines. And do not faw the air too much with your hand thus, but ufe all gently; for in the very torrent, tempeft, and, as I may fay, whirl-wind of your paflion, you muft acquire and beget a temperance that may give it fmoothnefs. Oh, it offends me to the foul, to hear a robuftous periwig-pated fellow tear a paflion to tatters, or very rags, to fplit the ears of the groundlings, who, for the moft part, are capable of nothing but inexplicable dumb fhews and noife. I could have fuch fellows whipt for overdo- ing termagant: it out-herods Herod. Pray you avoid it." Vale. LET- ( 133 ) LETTER XV. AMBITION is a virtue or a vice as its object is juft or unjuft. In Alex- ander gut tffluat infelix angujlo limite mundi; in Csefar, in Lewis XIV. the object of their battles was power and dominion, to which they had no juft claim: the firft and laft trampled on the univerfal law of nations 5 Caefar broke the facred laws of civil com- pact. But the ambition to excel in poetry, in mufic, in painting, in mathematics; or to command an army, a fleet, or even to go- vern the ftate, is a virtue; not becaufe it may raife an individual, but becaufe the emulation of many individuals muft even- tually benefit the community. In abfolute monarchies, fubjects rife to power more fre- quently on the wings of vice, than of vir- tue; of intreague, than of abilities. In ari- flocratical or democratical governments, ambitious, cunning, refolute men, without probity or abilities, often rule the ftate. Why? Becaufe a republic is a body with- out a head : it wants that fupreme executive 1 3 power a ( 134 ) power, which can annihiliate a dangerous minifter by a frown. In the mixed government under which you have the felicity to be born, as the Mi- nifter is refponfible for the mifconduct of the King, fo is the King, in fome degree, anfwerable for the mal-adminiftration of the man whom he deligbteth to honour: and this implied refponfibility is juft; becauie the conftitution gives to the King the power of chufing his fervants. Some of our Kings, either for want of penetration, or in con- fequence of perfonal attachment, have been very unfortunate in the choice of their Prime Minifters -, but the confequences of their mif- conftruing individual men, were fo fatal to themfelves, that future Kings of England will be cautious whom they truft. In our prefent firft Minifter we have a fine example of what power and dignity may be attained by fuperior underftanding, in conjunction with application and good morals. Without thefe in an eminent de- gree, his being the fon of the late Lord Chatham would have availed him nothing. That good morals fhbuld have been a ftep to Mr. Pitt's elevation, would to the politi- cians ( '35 ) clans of the Machiavelian fchool, have ap- peared ridiculous ; but I will venture to af- firm, that, if Mr. Pitt, be his abilities what they may, had been a gambler, or had been known to debafe human nature by any fpe- cies of debauchery, we fhould never have beheld him in his prefent exaltation. Lord North, by a feries of unfuccefsful attempts to prevent the independence of our Ameri- can brethren, had loft the confidence of the nation, and, by an enormous accumulation of the national debt, had ruined our credit both at home and abroad. So (ituated, no human policy or power, without an imme- diate restoration of that credit, could have faved us from abfolute perdition. Now, to produce this great, this impor- tant effecT:, it was neceflary to chufe a firfl Minifter eminently confpicuous for abili- ties, application, knowledge, refolution and integrity. It feems very extraordinary that thefe five efTentials fhould have been generally perceived and acknowledged in fo young a man. The firfl of thefe abilities, that is, a capa- city to learn, is doubtlefs a boon from Na- ture: in this boon, however, fhe is more ge- nerally liberal than Indolence is willing to j 4 allow. ( 136 ) allow. The remaining four efTentials, every young man of abilities may pofTefs; other- wife the want of them were unjuftly repre- henfible. I have before obferved, that Mr. Pitt's mo- ral character was the primum mobile of his elevation; and I found this obfervation on the recolleftion of there being, at the time of his appointment t6 the Miniftry, feveral members in both houfes, of diftinguifhed abilities j but, in the then critical fituation of this country; when our falvation depend- ed on an univerfal confidence in the inte- grity of the Minifter; it was wifely deter- mined, that a young man of at leaft equal abilities, but of irreproachable character, was moft likely to retrieve and re-eflablifh that credit and confidence fo necefTary to our exiftence. Britain, at the conclufion of the Ameri- can war, refembled a fhip, heavily loaded; her rigging and timbers Shattered in the late florin ; her crew fatigued and difpi- rited; her officers either unfkilful, or worie; a dangerous navigation ; no land in fight, and without a pilate. ' Defpair marked the countenance of every man on the Quarter Deck. What was to be done ? -- " Pleafe your ( 137 ) your honour, fays the Boatfwain to the Captain, we have a young Midfhipman on board, who underftands navigation as well as any man in the King's fervice; he's al- ways at his books and charts, and never neglects taking an obfervation at noon. If your honour will make him Pilate for the voyage, I am fure God will fave the Bri- tannia-, for this young man neither gets drunk, nor gambles, nor fwears an oath." The ftrongeft argument in favour of vir- tue, is, that vicious men have no depen- dence on vice; and that, in every diflrefsful emergency, they fly to virtue for protection. Let us imagine a fhip, in the fituation of that in the firft fcene of Shakefpear's 'Tem- feft. Sailors believe that fhipwreck difTolves all fubordination. Neverthelefs, fuppofe them now caft on an unknown coaft; every individual fufpicious of his companions; apprehenfive of favage men and beafts, and confcious of the necefllty of appointing a commander. Their quondam Captain is a man of abilities; but they have no opinion of his honefty ; they knew him to be a gam- bler, and inattentive to the duties of reli- gion. The firft Lieutenant, on the contrary, js a man of equal abilities, of ftrict morals, and ( and approved integrity. Can there be a doubt on whom the choice would fall ? Every failor, how profligate foever, is convinced, that, in the deftribution of the wreck, a dif- honeft Captain will appropriate to his own ufe the befl part of the fpoil, and he ve- rily believes, that Providence will hear the prayers and profper the exertions of a good znan. Mr. Pitt's elevation may be confidered, not only as the means of refcuing this na- tion from impending ruin; but as a fine example to young gentlemen, ftudents at our Univerfities, who, from family or for- tune, may expect a feat in Parliament; where hiftorical information, uniformity of cha- racter, and natural or acquired elocution, xnufl, in defpite of every obftacle, lift them into the higheft employments in the ftate, What a glorious incentive to application! I have faid elocution natural or acquired '\ becaufe I have no doubt, that elocution, this moft denrable and mod beneficial of all qua- lities, though fometimes a natural endow- ment may be always acquired. If we may credit the Grecian hiftorians, Demofthenes, the prince of orators, had originally, in fpeaking, an indiftincl articulation 5 a na- y - tural ( 139 ) tural flammer, an impediment in his fpeech 5 they tell us, that, in order to cure himfelf of this defect, he pradtifed fpeaking with pebbles in his mouth, probably on the fame principle that a man walks in boots the day before he intends to run a race. Be this anecdote true or fabulous, we may, I think, rationally conclude, that De- mofthenes, finding in himfelf every requi- fite to become a diftinguimed orator, ex- cept difrincl: articulation} animated by that noble enthufiafm which is the foundation of great diftinctions in fociety, refolutely determined, by unremitting affiduity, to at- tain, by art, that which nature had not be- flowed. He knew the ineflimable value of perfuafive elocution in a government like that of Athens: he knew the power of aa orator, who, as Virgil elegantly fays regit diffiis animos et peffora mulcet Ovid, too, though perfectly fenfible of the power of beauty, afcribes the paflion of the Marine deities for the hero of the Odyfley, entirely to his elocution. Nonformofus erat^federatfacundus Et tamen tequoreas torftt amore Deas. Paving thus wandered into claflical re- collections, collections, it is impoflible to forget the fol- lowing elegant panegyric on elocution, of the Roman orator Neque vero mihi quid- quam prceftabilius i^idetur^ quam poffe dicendo tenere hominum ccetus, mentes allicere^ volunta- tes impeller e quo vetti ; unde autem vetif, dedu- cere. If then it be true, that Eloquence is the mod infallible ftep-ladder to fame, power and emolument, how (hall we account for its being totally neglefted, as a branch of education, in both our Univerfities ? What are the probable advantages of mathemati- cal learning, or, from a critical knowledge of Greek and Latin poetry, compared with what might be expected from a regular courfe of lectures on Eloquence, delivered by the Public Orator, or by a profeffbr of Oratory ? There are profeflbrs of Arabic and profeffors of MufiCj but we look, in vain, in the red book, for a profeflbr of the only art or fcience, call it which you pleafe, by means of which young men can expect to liiftinguifh themfelves in the fenate, at the bar, or in the pulpit, There are in this, and probably in every other Univerfity, many fludents who know themfelves, in point of fortune, totally in- dependent ( HI ) dependent of the world, and confequently carelefs of its future fmiles or frowns; but I am perfuaded, that, if the utility of the fyftem of education were more apparent, they would apply. Damn if, fays a Fellow Commoner, what have I to do with Mathema- tics? and as for Homer and Virgil \ I learnt enough of them atfchooL I humbly conceive, that Qmntilian fhould be particularly recommended to every ftu- dent in the Univerfity; that it would be a proper text for a courfe of lectures, and that every pupil, of a certain (landing, fhould be repeatedly exercifed in public declama- tion. The prefent Prime Minifter may pofilbly , in fome future period, find leifure to beftow a lit- tle confideration on a matter of fo much im- portance as the reformation of the Univerfi- ties. He was himfelf educated at Cambridge; he cannot therefore be infenfible of the Go- thic abiurdity of a fyftem, which is not well calculated for the education either of Gentle- men, Lawyers, Phyficians, or Divines. Ne- verthelefs, I am very far from intending the moft diftant reflection on any individual in the Univerfity. The imperfections are not recent abufes 5 but the natural refult of an un- ( 14* ) unavoidable adherence to the ftatutes of eftablifhments which do honour to this na- tion, and which have, incontrovertibly, been of infinite benefit to mankind. I am, &e. LET- ( 143 ) LETTER XVI. YOU have, I think, frequently been prefent when the queftion, " Whether private or public education be moft eligi- ble," has been difcuffed by men of candour and abilities; and probably you recollect, that the principal arguments in favour of the latter are, that, in public fchools, boys become better claflical fcholars; that, mix- ing with a greater variety of characters, and being, in a greater degree, left to themfelves, they are better qualified to mix with the world at large. The chief argument in fup- port of a more private education, is, that in this line, a greater attention is paid to the religion and morals of the pupils, and therefore, thofe who have been more fuc- cefsful in private ftations, are generally men who have been privately educated. If thefe arguments be founded on truth, we may rationally fuppofe, that a young man ifluing from a public fchool, comes to the Univerfity in a flate of nature; with a mind unimpreffed with any fixed principles of religion or, morality, and confequently under ( 144 ) under the abfolute dominion of ftrong paf- fions, at an age when Reafon, their only poflible counterpoize, has hardly begun to idawn. At a more advanced age, when rea- fon has acquired fome ftrength, it may be a fufficient defence againft the attacks of vice ; but, in its infant ftate, it has no pow- er; therefore Religon is the fole guardian of young men emerging from a public femi- nary. On this confideration, the college of which you have the honour to be a member, wifely ordains, that your academical fludies fliould commence with a commentary on that book which is the foundation of the religion you profefs. " What (fome of your fellow flu- dents will fay) have we to do with the Chrif- tian Religion ? We are not all intended for parfons-, and if we were, it will be time enough to ftudy divinity when we take Or- ders." In anfwer to this foolifh rhapfody, I repeat ; the College, confidering that young men, from public fchools, come to the Uni- verfity mere claflical fcholars, totally defti- tute of religious or moral inftruftion, hath wifely conceived that the evident morality of the Gofpel would be the moft immedi- ate and effectual counterpoize to vice, until reafon, reafon, independent of religion, fhould ac- quire fufficient ftrength to convince them, that vice is the extreme of folly. In your convivial aflbciation with your fellow-frefhmen, you will frequently hear the early and conftant attendance at Chapel, exclaimed againft as a bore. Neverthelefs, there are arguments of considerable weight in favour of this inftitution. Early rifmg is certainly conducive to health; not only becaufe the morning air is falutary, but be- caufe it muft neceflarily induce an early re- tirement to reft. Thofe who rife late read little, and their laft hours of the day, or ra- ther night, are often fpent in a manner dif- graceful to human nature, and irrecoverably deftruclive to body and mind. Tfenebras magis quam lucem amaverint homines, quippe quorum pravaforent opera. Young men that keep good hours are rarely immoral. There is yet another ar- gument in favour of early devotion, which a young mind capable of religious fenflbi- lity, will feel: I mean the fatisfaclion of hav- ing began the day in a manner moft ac- ceptable to his Creator. This reflection will infpire him with confidence; it will raife his fpirits j it will make him fatisfied with him- K felfs ( 14* ) felf ; it will confequently banifh all propen- fity to ill temper, and render him a pleafant companion to all his acquaintance. I never meet with a peevifh, iH-tempered fellow, without fufpecting that all is not right with- in. I cannot help fuppofing that he has reafon to be diflatisfied with himfelf; be- caufe a long acquaintance with human na- ture, in various climates and fituations, hath convinced me, that chearfulnefs and good temper are the natural produce of inno- cence. But thefe falutary effects of early devotion necefTarily fuppofe a mind fufceptible of re- flection; a mind capable of perceiving the hourly dependence of the creature on its Creator; a mind naturally difpofed to be- lieve the truth of the Chriftian religion on the credit of the wifeft men that ever exift- ed in any age or country. Locke and New- ton were both zealous Chriftians. With regard to their (incerity there is not a loop to hang a doubt on, and furely no human beings were ever better qualified to feparate truth from falfehood. I do not mean to inlinuate, that, in the important article of Religion, it were wife finally to reft your faith on the opinions of other ( '47 ) other men: in mentioning Locke and New- ton, I have no other intention than to prove the reafonablenefs of relying on their judg- ment, until time (hall have ripened your own, and until you may have leifure to read the beft authors that have written in fupport of divine Revelation. I cannot clofe this grave epiftle without advifing you to contract no intimacy with young men whofe parents or guardians, by fupplying them with large fums of money, lead them into perpetual temptation to fri- volous and vicious indulgences. By exhauft- ing your credit, you may poffibly keep pace with them for a time; but, the moment you are aground, they will laugh at your diftrefs, and, without giving you any afllftance, will purfue their voyage, damning your ftupi- dity for pretending to fail with them. One would not imagine that hunting and horfe-racing could be an admiflible part of Univerfity education. The vicinity of New- market, and its frequent meetings, now con- ftantly attended by the firft peribnages in the kingdom, are doubtlefs irrefiftible temp- tations to young gentlemen who are not fent to the Univerfity in purfuit of know- ledge; but alas! the example is inevitable K 2 de- < 148 5 deftruftion to thofe ftudents, who, without the means, are feduced to imitate their fu- periors in rank and fortune; to thofe ftu- dents who were fent to the Univerfity for the only rational purpofe for which Uni- verfities were originally inftituted. I do not prefume to arraign the conduct of royal peribnages. Horfe-racing, uncon- nected with gambling,, may be an innocent amufement; but, having always conceived that money is the fole object of wagers, I cannot imagine why perfons who can never want money, fhould become gamefters. But, allowing that young princes find fome amufement in throwing handfuls of coun- ters to princes, guineas are mere counters upon the turf, for blacklegs to fcramble for, the confequences to princes are imper- ceptible; whether they win or lofe, they can never be diftrefled. Not fo with thofe who are feduced by iliuftrious example. Mantua, yce mifere nlnnum vicina Cremona! Cambridge is indeed unfortunately too near Newmarket: not becaufe it is the fcene of perpetual horfe-racing; but becaufe it is the centre of illegal gambling of every de- nomination ; the vortex of the mofl difho- neft ( H9. ) neft and moft contemptible members of fo- ciety. That young men of family and for- tune fhould condefcend to mix with fnch mifcreants, for the paltry purpofe of win- ning a few guineas, is fo glaring a reflec- tion on the character of a gentleman, that nothing fhort of ocular demonftration could render it credible. You have, I believe, heard me fay, that I think mankind not only the leaft amiable, but the moft irrational part of the creation. The celebrated Dean of St. Patricks has been frequently abufed for this opinion. Let thofe who think otherwife compare the horfes at Newmarket with the men. . Let them firft obferve them on the courfe. Let them follow the Horfes into the ftable, and the Men to that Pandemonium in which gen- tlemen fpend the evening at Newmarket. E O-tables hazard-tablescard-tables Lords, Commoners, Fellow-commoners, Penfioners, Black-legs, Highwaymen and Pickpockets; lying, cui fing, fwearing, cheat- ing, blafpheming! Can you poflibly con- template fuch a piclure without horror? I hope you cannot. Let us now fuppofe that a choir of An- gels were to look down upon Newmarket, K 3 (this ( '5 ) (this being their firft view of the inhabitants of this planet,) and that they were afked, whether, if they were obliged to fojourn a while upon Earth, they would be men or horfes? is there a Spirit among them who would not prefer the latter mode of exift- ence? It has been frequently obferved, and I think juftly, that individuals generally act: more rationally than aggregate bodies of men : how (hall we otherwife account for that legiflatorial fupinenefs which continues to poftpone the total fuppreflion of thefe licenfed feminaries of vice 5 when there is hardly an individual in the kingdom who is not perfectly convinced, that all race- grounds, and particulaly Newmarket, are the nurferies of (harpers, the fchools of highwaymen, and the graves of morality? Human understanding is a plant, which, individually, advances very flowly to matu- rity i but its progrefs in fociety is yet much lefs rapid. Many of the philofophers of an- cient times faw, and defpifed, the abfurdi- ties of the heathen fyftem of religion, whilft their refpeclive nations continued their ado- ration of fictitious, immoral, profligate dei- ties. Probably the period is not very far remote. remote, when the Britifh Legiflature will comprehend, that the mod effectual means of annihilating that opprobrious race of highwaymen, (harpers and gamblers, were to flrangle the Hercules in the cradle. The total abolition of Horfe-racing and Cock- fighting, would do more towards the pre- vention of thofe felonies with which this nation is peculiarly ftigmatized, than all the penal laws that can poflibly be invent- ed. Adieu. K 4 LET. ( is* ) LETTER XVII. I RECOLLECT, that, in fome part of my' laft letter, I gave you what feemed to me a fufficient reafon why Beaufobres Commen- tary on the Gofpel of St. Matthew was among the firft books put into your hands by your Tutor. The College perfectly acquainted with your total ignorance of any fyftem of Morality, and equally uninftru&ed in the fundamental proofs and tenets of Chriftia- nity; confequently, confidering you as a veftel launched into a dangerous ocean with- out a compafs wifely begins your Uni- verfity education with the inftitutes of Chrif- tianity. To you, who have been told that the late King of Pruflia was a declared infidel in regard to the divine origin of Chriftianity, it muft appear ftrange, that the above men- tioned Commentary (hould have been un- dertaken at the command of that monarch. The tranflator's preface tells you, that It having been reprefented to his Majefty that the French verfions of the holy Scriptures, being, by length of time, become obfolete and and unintelligible, it was neceflary to make a new tranflation, he ordered Meflrs. Beau- fobre and Lenfant to undertake the work; which they executed, with the addition of a commentary on all the difficult paflages, &c. This attention to the Gofpel in the Pruf- fian monarch was not the effect of his reli- gious veneration for the writings of the Evangelifts ; it muft therefore be afcribed to his political fagacity: it was, however, an evident acknowledgment of its importance to fociety, and a plain confeffion of its ne- ceffity. But, be his faith what it might, in his various correfpondence with Unbeliev- ers, he always fpeaks of the morality of the Gofpel with veneration. A human Being totally deftitute of reli- gion, is not a degree above the brute crea- tion. Particular fyftems of Religion out of the queftion, it requires very little reflection to perceive, that the wonderful creation around you is not the effect of any fortui- tous arrangement of inanimate matter; an opinion, though ftrenuoufly maintained by fome philofophers, much too abfurd to de- ferve a ferious refutation : It is fuppofing an effett without a caufe, than which nothing can be more ridiculous. What were the fenti- ( 154 ) fentiments of the inimitable Cicero on this fubjeft? Quid pot eft ejje tarn apertum> tanque perfpi- cuunty cum ccelum fufpeximus, casleftiaque con- templati fumus, quam effe aliquod Numen prezf- tantiffimez mentis quo h on the contrary, exprefles an agreeable fucceflion of (ingle tones, fuch as may be executed executed by a voice or a Hute, or by any other wirkUinftrument. Stringed inftru- ments are capable of producing harmony, becaufe two or more notes may be (truck .at the fame inftant. It is not uncommon, when young gen- tlemen or young ladies who have learnt to play a little, are (landing behind a perform- er, to hear them fay >- " O, that piece is in ajharp, or in a flat key " judging from there be'mgjlats, orftarfis, marked at the be- ginning of the movement. Now, it is an equal chance that they are wrong: it de- pends on circumstances, of which they are totally ignorant; but which are known by a mufician the moment he hears the firft (hord (truck by the inftruments. I (hall ex- plain this hereafter. But nothing is more ridiculous than to hear the audience at a Concert vociferate their applaufe, in a foreign language, of which they do not understand a word. Whe- ther the finger be male or female; whether it be one performer, two performers, or a chorus, they mean to applaud, the cry is al^ ways bravo! What muft an Italian female think of an Englifti audience, who thus L 4 com- compliment her, as if fhe were a man ? or when they thus exprefs their approbation of a duetto, as if it were fung by an indivi- dual ? I do not expeft that every gentleman or lady who is prefent at a Concert or an Opera, fhould underftand Italian; but furely it were prudent not to rifk the ufe of words in public exclamation, until we know their meaning. Catches and Glees are much in vogue, and are confequently frequent fubjefts of con- verfation, yet there are few people, totally ignorant of Mufic, who do not want to be told, that they differ materially in their con-r ftruclion j that in a Catch, the three voices take the parts alternately, fo that each voice lings the whole in turn: but that in a Glee, all the voices begin at the fame time and fing different parts, from firfl to laft. Now, though all this may be confidered as knowledge of little importance, yet it is fo eafily acquired, and indeed fo necefTary to thofe that mix with mufical people, that no gentleman fhould be without it. This fort of knowledge is fufficient for the ge- nerality; but a man of fcience fhould know more. He may be ignorant of Mufic as an Art; Art; but, as a Science, he ought not to be unacquainted with its foundation, its ef- fence, its conftitution. All mufical founds, whether of bells, of organ-pipes, of flutes, harpfichords, violins, &c. are produced by vibrations in the parts of thefe inftruments, excited by fome ex- ternal caufe. Thefe vibrations caufe fimilar undulations in the air, which ftriking on our organs of hearing, brings, from the in- ftrument, that vibration which excites in us the idea of the tone produced. Thefe in- vifible undulations in the air, have, not un- aptly, been compared to the waves fuddenly produced on a fmooth body of water, by a jftone thrown into it: thefe waves are feen to expand, in all directions, in concentric circles from the fpot where the Hone fell. Sound, in like manner, expands in every di- rection, and the extent of its progrefs is in proportion to the impulfe on the vibrating cord or bell. Admitting this theory, if every identical tone excite a peculiar undulation in the air, how happens it, that the various undula- tions produced by a rapid fucceffion of tones, do not perplex and deftroy each other? If you throw a flone into a fifh-pond, and, imme- immediately after, another, and then a third, if you look very attentively, you will peiv ceive, that their refpeftive circles will pro-r ceed without interruption, and ftrike the fhore jn regular fucceffion, This experi- ment may be more fatisfactorily made, on your table, in a large trough of Quickfilver. If you ftrike the furface at one end, with your finger, and then immediately at the other, you will fee the waves of each run to the oppofite extremity of the trough, pafT- ing each other without producing any con- f ufion or interruption. This by way of il- luftrationj but furely the facl is a fufficient demonftration, that the atmofphere pofTefles the faculty of conveying founds in the moft rapid fucceffion, or combination, as dif- tin6Uy as they were produced. Jt pofleffes the power not only of receiving and pro- pagating fimple and compound vibrations in direct lines from the voice or inftrument; but of retaining and communicating founds with equal fidelity, after repeated reflections and reverberation, as you have often been convinced by the found of French-horns among the hills. I fhall purfue the fubjecT: in my next letter : till then, farewel. L E Tr LETTER XX. HAVING, in my laft letter, accounted for the production and propagation of mufical founds, the next natural queftion isWhat is the caufe of high and low or, to fpeak more mufically, of grave and acute founds or tones ? Thefe depend on the quick or flow vibrations of the founding body; that is, on the greater or lefs number of vibrations, in a given time. Large in- flruments and long firings, produce grave or deep tones; fmall inflruments and (hort firings, on the contrary, produce acute or high tones; in organ-pipes, for example, in proportion to their length and dimenfions: this is alfo true of mufical firings. If I take a mufical firing of any length, and divide it into two equal parts by a bridge in the middle, each half founds an o6lave, (that is, eight notes) higher than the tone of the whole firing. Their vibrations, relative to the whole firing, are as 2 to i: therefore, they perform the fame number of vibrations in half the time; and confequently the oc- tave ( '72 ) tave coincides with the fundamental note only at every fecond vibration. But you will now afk, how it happens, as thefe vibrations gradually ceafe, that the tone continues the fame, till it is heard no more? It were natural to fuppofe, as the acutenefs of the found depends on the cele- rity of the vibrations, that as they become flower towards their decline, the tone would grow deeper, or more grave. If it were true that they vibrate gradually flower, the ob- jection would be unanfwerable. But the fact is otherwife. As a pendulum performs all its ofcillations in equal times; its greateft range in the fame time as its lead; fo a mufical firing makes its firft long vibration in the fame time as its Jaft fhort one; for this reafon, the tone is uniformly the fame from firft to laft. In proof of what I have faid concerning the length of firings, you obferve, that the firings, of this harpfichord, which make the high notes are the fhorteft, and that they gradually increafe in length as you defcend to the deepeft note of the inftrument. Now though there be black and white keys on this harpfichord, and each of thefe flrike a dif- ( '73 ) different note, yet the real number of notes is no more than feven, which are called by the firft feven letters of the alphabet. If you begin with A, and ftrike feven notes in fucceflion upwards or downwards, you will, either way, come again to A : they are not indeed the fame notes as that with which you began j but they are octaves to it, vi- brating, the one in half, the other in double the time. > i: o Thefe feven notes are thofe of a peal of feven bells : when there are eight, the fmalleft bell is an octave to the largeft. But if mu- fical inftruments contained no other than thefe feven notes and their odtaves, they would produce no better melody than that wretched jumble of founds called ringing changes; or, at beft, but a very fimple tune: therefore to render thefe inftruments more comprehenfive, intermediate notes, called femitones, were introduced, each half a tone higher than the note below it, and confe- quently half a tone lower than the note above. Thefe are the fhort white keys on the harpfichord. In confequence of this arrangement, the whole octave confifts of 1 2 femitones, for they are each half a tone higher or lower than the next. But, But, you will afk-^if there be feven whole notes, and if there be a femitone between every two, why does not the fcale confift of 14 femitones ? This is a very natural queftion. The reafon, why there are but five inter- mediate notes* is, that, in this natural fcale, there are two places which require none ; the two noteSi between which thefe inter- vals lie, being only half a tone afunder. Why it is fo, I know not; but, you may immediately convince yourfelf, that it is a law in Nature, which your ear compels you to obey. Sing eight fucceflive notes, from the loweft to the higheft, or the reverfe, like a peal of eight bells when they ring round, as they call it, and you will, without knowing it, make an interval of but half a tone in two different places, namely, between the 3d and 4th, and between the 7th and 8th notes of the fcale: thus i 2 34 5 6 78. But thefe half-intervals are not ab- folutely confined to the places where you fee them in this example: the ear will bear them in the following pofition, i- s ~23 4- 56 7-8. In this laft feries, you obferve, the half tones lie between the 2d and 3d$ 5th and 6th. Now, if you dot thefe notes with ( '75 ) with one finger on the harpfichord, begin- ning with A, and touch none of the fhort keys, you will find, after a few repetitions, not only that the ear will bear it; but, that there is a mildnefs, a fwavity, in the effect when contrafted with the firft modus. I fay modus, for they are the fame diatonic fcale, confifting of the fame number of femitones. It is called the Diatonic fcale to diftinguifli it from the Chromatic, which afcends and defcends by half tones, and which being artfully mixed with the other, produces the various modulations in modern compofiti- ons. The ancients, we are told had other fcales, in which their tones were more mi- nutely fubdivided. Our fcience of Mufic requires no fuch fubtilties. The firft of thefe modes is \hefiarp, or major, the fecond, thzjlaf, or minor key; for there are no more than two keys, or, more properly, modes ; and thefe, be the funda- mental, or key-note, what it may, are al- ways determined by the third being flat or Jharp; or, in other words, by the interval of half a tone lying between the fecond and third, or between the third and fourth note of the fcale. There is one thing more to be obferved of thisfaf key, namely, that if you you begirt wifh C, the flat 3d, the femitones will occur in, the fame order as in the firfl modus. You will obferve that any of thefe notes or half-notes, on the harpfichord, may be made the fundamental or firft note of the fcale in either modus , which note gives name to the key in which you modulate* and with which you muft neceffarily con- elude the piece: But whatfoever note you make the key-note, the femitone-intervals muft fall in their proper places ; and this can be attended with no difficulty, as the inftrument confifts entirely of femitones. But, before we try the experiment, it is ne- ceflary you fhould know, that every femi-* tone takes, occafionally, either the name of the note above or of that below it: thus, this half note between G and A is GJharp, that is, half a tone higher than the natural Gj or it is Ajlat, that is, half a tone lower than the natural A. . If now you begin with C, and proceed upwards, note by note, you find the femi- tone-intervals lie in their proper places, namely, between the 3d and 4th, and be- tween the yth and 8th, without the necef- fity of introducing any of the fliort black keys. But if you now make D your fun- damental ( 177 ) damental note, in order to make two femi^ tones, according to the major key, between the fecond and third note in the fcale, you are under a neceffity of taking the F fliarp-, and, when you come up to C, the fame ne- ceflity recurs, becaufe there muft be a whole tone between the 6th and the yth, and but half a tone between the yth and the octave. For thefe reafons, when a piece of Mufic is compofed in D with a major third, there is a double crofs prefixt on or between the lines where F and C are pricked, fignifying that thefe two notes wtjkarp. If on the contrary, you make Bjlat your fundamental note, and proceed upwards in the major key, you will find yourfelf obliged in order to make the femitones fall between the 3d and 4th and yth and 8th as before, to take in Efat: fo that B and E muft be marked flat at the be- ginning of the movement: neverthelefs, this movement has a fharp third, and is confe- quently in the major key. But if, with tlie fame fundamental note, you change the fe- mitone-intervals, according to the minor modus, then A, B, D, E and G, will be fiat. Flats are marked by a fmall b, as the iharps are by a double crofs. You hear Muficians talk of Cliffs and of M ( 178 ) c Time t triple and common. That their lan- guage may not be totally unintelligible to you, I will give you fuch information, as, I think, every gentleman, liberally educated, fhould pofTefs. Mufical notes are written or engraved, on or between five fundamental lines, to which there are occafionally added one or two more in the writing or engraving. Now, in order to avoid the obvious inconveniency of adding too many of thefe occafional lines, Cliff's were invented, by which any particu- lar line, or interval, may be made the place of any note in the fcale: if, for example, I make the place of G the lowed line but one, as in the common ^Triple Cliffy then the note in the interval above will be A, and that in the interval below will be F, and fo of the reft. But if I make the upper line but one, F, as in the Bafs Cliff ", then the in- terval above will be G, and the interval be- low will be E. There are other Cliffs to anfwer the fame intention j but this is fuffi- cient to explain the defign and conveniency of this arbitrary method of fixing a parti- cular note on any line or interval. Many years ago, I had the pleafure of being acquainted with a Mr. Roebuck of Heath, Heath, near Wakefield in Yorkfhire, a gen- tleman of fortune and a gettfteman-fidler : by a gentleman-fidler, I mean a fcraper ; for fuch, gentlemen fidlers generally are. "Damn it," he would fay, femibreves, crotchets ', quavers, Jemt quavers, &c. It were much more rational, becaufe more intelligible, to call the fimple open circle, a note-, when it has a tail, a half-note; when the head is filled, a quarter-note j when the tails are once tyed, an eighth; twice, afix- teenth, &c. Thus the name would exprefs the relative proportion of every note, and any farther explanation would be unnecef- fary. So much for Scale, Mode, Key, Cliff, and Time. I told you, in a former letter, that modern Mufic differs effentially from that of the ancients, in the invention of Harmony, of which they appear to have been totally ignorant. I alfo told you that Harmony is the effect of two or more tones founding at the fame time. You will now afk, what is this Harmony? and which are the tones that produce the effect ? Mufical Harmony has its foundation in a law of Nature: or, in other language, in a certain property inherent in peculiar mo- difications of matter: it depends on a coin- cidence in the vibrations of the founding bodies. No two firings vibrate in equal times, unlefs they be turned in exact unifon, as as are the two wires on a harpfichord, which form each individual note. I fpeak of a harpfichord without oftaves. Unifon there- fore is the only perfect concord. Other chords are more or lefs perfect as their vi- brations coincide more or lefs frequently. The next chord in degree of Harmony is the Oclave, becaufe, as it vibrates in half, or in double, the time, the tones coincide at every fecond vibration. The Oclave, you remem- ber, is the tone of a firing half the length: that is, the tone on each fide of the bridge, of a firing divided into two equal parts. Now, if I remove the bridge, fo as to leave three parts of the whole firing on one fide, and two on the other, the longefl divifion will found a 5th to the whole firing, and if they were founded together, there would be a perfect coincidence at every third vibra- tion : the 5th therefore is the next chord in rank. You now move the bridge, fo that there fhall be three fourths on one fide; this longer part will found a fourth to the whole firing, and their vibrations will unite at every fourth return. You then move the bridge fo as to leave four 5ths on one fide: the longefl divifion will found a major third to the open firing, and the vibrations of M 4 two two firings in this proportion, will coincide at every 5th repetition. And Co of other concords, Difcords are the tones whofe Vi- brations never coincide. They are never- thelefs of indifpenfible ufe in Mufic a? a foil, nd as the means of introducing concords with advantage. In writing all this, I have not the mod diftant intention to make a Compofer of you. It is the philofophical part only of Mufic, which I have endeavoured to ex- plain; that part which every philofopher (I fuppofe you intend to be a philofopher) fhould know, and which may be perfectly underftood without being able to play a note on any mftrument. I mean now to confider your queftion ee Whether I would advife you to learn to play, and on what inftrument?" From the following reflections you will collect my opinion of this matter. The practice of Mufic, is, doubtlefs, an innocent and delightful amufement; and, becaufe it is delightful, very improper for thofe who have no time to fpare. But, fay the advocates for Mufic, it is a better re- laxation and relief from fludy, than mere jdlenefs. There are two anfwers to this plea: firlt, firft, ftudious men require, in their relaxa- tions, air and exercife Mufic affords nei- ther: fecondly, it has often happened, that this relief which was at firft admitted as a handmaid to Study, became her miftrefs: nay, the baggage has fometimes been fo in- folent as to turn her miftrefs out of doors. When I firft began to fcrape on the vio- lin, I was told, by my mafter, that unlefs I determined to praclife eight hours every day, it was in vain to begin: yet people learn Mufic for amufement; an amufement that is conftantly to occupy a third part of their whole time. There is indeed no art that requires more conftant labour, if you have the ambition to excel; to excel, I mean, as a gentleman performer; for you will never advance higher than a humble Repiano in a good band. Now, whether the profpect of arriving at this degree of excellence, deferve the facrifice of one third of your time, ad- mits of fome doubt. If we reflecT:, that, from the beginning of this century to the prefent time, many thou- fands of men, in this kingdom, have been labouring inceflantly to attain the art of playing on the Violin, fome for amufement and ( 186 ) and others in their vocation; and that we have not yet produced one firft-rate player; is there not reafon to conclude, either, that it is infinitely the mod difficult of all arts, or that there is fome fecret, induftrioufly concealed from Englifhmen. Probably there is no fecret in the cafe; but there is a very unaccountable want of obfervation and re- flection, vifible in the execution of almoft all our violin-players. When a boy firft begins to fcrape his gamut on the fiddle, he naturally makes every note by the motion of his whole right arm from the fhoulder. After he has prac- tifed for fome time, he acquires, from ne- ceflity, a little motion in the elbow, and with this he refts perfectly fatisfied. The proper motion of his wrifl, if he underftood it ever fo well, would be incompetent to the execution of quick paflages, becaufe he plays with that part of his bow which lies be- tween the centre and the farther extremity; confequently when the notes are to be played on different firings, the arch defcribed by the right hand, extends beyond the power of the wrift; therefore the motion muft ne- ceflarily begin at the elbow, if not higher. A3 ( 187 ) As this is a mechanical operation, if the proportion be true, it may be mathemati- cally demonftrated : thus The part of the bow, in contact with the firing of the violin, is the centre of a circle, of which the hair of the bow, from that centre to the extremity of the little finger on the right hand, is the radius-, confequently this little finger moves in the circumference of a circle, which is greater or lefs, accord- ing to the length of that radius-, and, as the length of the arch to be defcribed, in the fame time, depends on the magnitude of the circle, it is evident that an artift who exe- cutes difficult quick pafTages with the part of the fiddle-flick neareft his hand, will, ceteris paribus, execute thofe paflages with the greateft eafe. Let us fuppofe the bow to be divided into four equal parts : the hand of the artift who plays quick paflages on the firft, diftant divifion, defcribes, we will fup- pofe, 20 archs of his circle, or plays twenty quarter-notes on different firings in a fecond of time : if he played with the centre on the fecond divifion of his bow, he would execute 20 eighths^ and on the third, 2ojixteentbs t in the fame time. But this is not the only advantage of playing near the hand : it brings the. the execution within the range of the wrift, without any afliftance from the arm. There is yet another effential difference between a common player and a capital artift: it lies in expreflion; which the firft endeavours to produce by the occafional preffure of his whole hand and arm ; whilft, in the latter, it is entirely the effect of the fingers, not of the left, but of the right hand. His expreflive ideas do not flop at his elbow, nor yet at his wrift: they pafs immediately to his fingers, like the feelings of a fine per- former on the Piano-forte. . If now you obferve, with attention, Cra- mer's manner, and compare it with that of the fidlers about him, you will eafily con^ ceive it impoflible for thefe gentlemen ever to pafs the line of mediocrity. But this perfect and indifpenfible knowledge of the principles of the art, is not, of itfelf, fuffi- cient to produce a capital performer on the violin. Nature muft previoufly have fa- voured the individual with a genius or ta- lent for Mufic; with an ear exquifitely formed, and capable of the moft minute difcrimination of founds. Inftruments on which principal parts are played in Concerts, and which confequently i_ require require rapid execution, muft be begun with at a very early age, and the practice conti- nued with a degree of afliduity, juftifiable only in a profeffed Mufidan. But if you have a tolerable ear, are fond of harmony, and wifh to be able to take a (imple part in a private Concert, the Tenor-fiddle, the Violoncello, or the Baffoon, may be learnt in a fhort time, and retained by very mode- rate practice. If your ambition foar no higher than a Scotch ballad, the German flute is your inftrument. By ail means, avoid the Hautboy, out of companion for your neighbours; unlefs, at any time, you want to drive the rats and mice from your apartment. As to the Harpfichord I once fat playing upon that inftrument, in a room next the fquare where I then lived. As two gentlemen were paffing the window, I heard one of them exclaim, " I hate to fee a man at the Harpfichord ! " I had never before annexed the idea of effeminacy to that inftrument; but from that moment, I began to be of the gentleman's opinion. I think, the moft defirable mufical ac- complifhment, is, the art of fmging at fight; that is, the art of hitting, or founding the notes with your voice as with an inftru- ment. ment. PoffeiTed of this art, with a proper comprehenfion of time, you are, without being a profefled finger, enabled to join in a Catch or Glee, which, of all Mufic, is the moft generally pleafing. But, this art is commonly thought difficult to learn. I believe the difficulty originates in the abfurd method of teaching. If you have voice and ear fufficiently true to run the oc~lave up and down, both in the major and minor key, you may, by the following fimple means, learn to fing at fight in lefs than a fortnight; provided you have, pre- vioufly, a fufficient knowledge of triple and common Time, and of the relative length of the notes and refts : a knowledge that may be acquired in an hour. For the letters of the alphabet, by which the feven notes are named, I fubftitute the feven firfl figures, i, 2, 3, &c. becaufe they will apply to any part of the harpfichord: begin where you pleafe, i is the fundamen- tal, or key-note* 2 the fecond, 3 the third, and fo on to the octave. Firft, run the feven notes, in the major key, from one octave to the other, backward and forward, till you can found them truly and eafily. Then praeYife the fame in the minor minor key, and, if you be not perfectly fare of the trutli of your ear, touch the notes on the harpfichord as often as you are in doubt. Having thus made fure of the notes in their natural order, in both modes, you may now proceed to ring changes on them thus. i>3>5>7i7'5'3' 1 - then 1,4, 6,8; 8,6,4,1: continuing to alternate thefe chords till you have them quite perfect. You may now take them in the following order : 1,25 1,3; 1,45 1,5; 1,6; 1,7; 1,8; then, 8, 7; 8, 6; 8,5; 8, 4; 8, 3; 8, 2; 8, i. When you are quite perfect in this third lefTon, both ma- jor and minor, your fourth leflbn may be in this progreflion i, 3; 2, 4; 3, 5; 4, 6; 5,7; 6, 8: then 8, 6; 7, 5; 6, 4; 5, 3; 4,2; 3, i. Prefuming that you can fmg thefe four lefTons with great eafe and certainty, you may proceed to the chromatic fcale, riling by half-notes from the lower to the upper octave, and defcending in the fame manner; and now the great bufmefs is over. Take a fong, or any book of Mufic ; pitch your key, and you will find, that, with a little practice, you will be able to hit the notes as certainly as with an inftrument. It was a very juft obfervation of my wor- thy acquaintance Dr. J who is himfelf a good ( '92 ) & good Mufician and an excellent finger, that finging has this great advantage over inftruments, the learner may practife when- ever he is alone, walking or riding; fo that there is no lofs of time; whilft one of the flrongeft objections to the pra6lice of inftrumental Mufic is, that it requires more time than a ftudious young man can fpare. Vak. LET- ( 193 ) LETTER XXII. A MIND, naturally inquifitive, one would imagine, muft feel diffatisfied in a (late of total ignorance, relative to the furface of this terreftrial globe. The great- eft number of mankind know nothing more of the planet they inhabit, than the town or parifh in which they were born. A fchool- boy, from a public feminary, is as ignorant of Geography as a peafant, and the fyftern of education at the Univerfities is not cal- culated to inculcate Geographical informa- tion. There are, I believe, very few young gen- tlemen, who do not feel deprefTed by this load of geographical ignorance. Every Newfpaper is an opprobrium. They read the names of towns and countries without know- ing in what quarter of the world they are to be found 5 and they are afraid to afk queftions, which, they know, fome children could anfwer. They have feen Geographi- cal Grammars; but thefe are fuch thick clofe-printed volumes, and feem to contain fuch a multifarious accumulation of fcience N and ( '94 ) and technical language, that they poftpone the fludy of Geography, till they have at leaft fix months to fpare. Probably you will be furprifed when I aver, that all the Geography neceffary to a gentleman and a polite fcholar, may be taught in the com- pafs of a very few pages? perhaps within the limits of a moderate letter, or two. What is the fcience of Geography? Its derivation from yy terra and y^ ftribo 9 anfwers the queftion. It is then, a defcrip- tion of the Earth j a knowledge of the ab- folute and relative fituations of empires, kingdoms, provinces, &c. It is generally made to include, the ufe of the globes, but im- properly. Confidering the Earth as a globe, making a part of the folar fyfrem, it be- comes an object of Aftronomy. Geography is no farther concerned in the Earth's mo- tion, and dependence on other bodies, than as they affeft the various climates on its furface. This fcience therefore may be ilu- died with equal propriety, and much more conveniency, in the maps which cover the walls of this room, than on a terreftrial globe. Let us begin with that in the centre: the map of the World. It confifts, you perceive, of ( 195 ) of two large circles, which reprefent the two hemifpheres of the globe, fuppofmg it cut into two equal parts. The broad ex- ternal circles which furround thefe two he- mifpheres reprefent the horizon 3 that is, the imaginary circular line, which, if you were raifed fo far above the Earth as to fee one half of it, would divide the vifible from the invifible half. That ftraight horizontal line which di- vides the northern from the fouthern he- mifphere, is called the Equator: on the Earth it is an imaginary, and, on a globe, a real circle. The double circle which pafTes over the middle of New Holland, and that which you fee at the fame diftance from the Equa- tor on the north fide, are called the Tropics. The other two double circles near the north and fouth poles, are the Polar Circles. They are of ufe in Geography in determining what are called the Zones. The fpace between the two Tropics is the torrid-, between thofe and the polar circles, the temperate, and within thofe circles, the frigid Zones. In this, and in all other maps, the top is the north ; the bottom, the fouth', your right hand, the eaft; and your left, the wejl. Thofe circles, which you fee meet in both N 2 poles, ( 19* ) poles, are called Meridians. They pafs through every tenth degree of the Equator, and ferve to mark the longitude: they are imaginary circles which would be formed by a line drawn upon the Earth over the fpot to which the fun is vertical at every tenth degree. The curve lines which are drawn from every tenth degree on the Horizon, ferve to mark the latitude. By latitude is meant the dif- tance from the Equator north and fouth. Longitude is the diftance, eaft or weft, from any particular Meridian: in our maps, it is generally taken from that of the Obfervatory at Greenwich. You know, our firft great divifion of the Earth is into what are called four quarters: Europe, Afia, Africa and America. Thefe we will fuccefllvely contemplate. But be- fore we take our leave of this general map of the World, it is neceflary that you fhould particularly notice the fituation of thefe four quarters relative to each other. The north- ern henaifphere, you fee, is occupied by Eu- rope, Afia, the greateft part of Africa, and North America. In the fouthern, we find no land except South America, part of Africa, New Holland, and a confiderable number of iflands in the Pacific Ocean. Our ( '97 ) Our conftant intercourfe with the Eaft Indies renders an acquaintance with the fi- tuation of that country indifpenfibly ne- ceffary. You read of fhips making their outward or homeward voyage in fix, feven, eight months, &c.j they touched at the Cape of Good Hope 5 they watered at St. Helena. Now, is it conceivable that a young gentle- man porTerTed of any curiofity, or the leaft inclination to knowledge, can reft fatisfied in the total ignorance of the diftance and fituation of places which affront him in every news-paper. The Cape is the fouth extremity of Africa, and the fmall ifland of St. Helena, you will find, in about fix de- grees of weft longitude and fifteen of fouth latitude. Other remarkable places are New- Holland, on the fouth-eaft coaft of which you will find Botany Bay, &c. and on the weft coaft of North America, in latitude 50, you will lay your finger on Ncotka Scur.d, the prefent bone of contention between us and Spain. Before you quit this map, you will alfo take notice that the fea between Europe and North America, is called the Atlantic ; that between America and the eaft- crn coaft of Alia, the Pacific Ocean -, and N 3 that that which occupies the greateft part of the fouthern hemifphere, the South Seas. Having thus difpatched the world in ge- neral, let us now contemplate this map of Europej which, you perceive, is the Europe we have already feen, magnified, or deline- ated on a larger fcale. Here the degrees of latitude marked on the fides, and of longitude at the bpttorn, are much larger. By this means Europe becomes as large as the whole world; and, as thefe degrees may be enlarg- ed to any fize, a kingdom may be magni- fied to appear as large as this Europe, or a province as large as a kingdom. Before we inyefligate this quarter of the world, it is necefTary to obferve by what countries and feas it is environed. On the eaft you fee it is bounded by Afia; on the weft, by the Atlantic; on the north, by the Frozen Sea; and on thefoufb, by the Medi- terranean. This fea, you obferve, is a prin- cipal object ; it deferves your attentive con- fideration. It wafhes the coaft of Spain, of France, of Italy, and of European Turkey. It contains the iflands of Ivica, Majorca, Mi- norca, Corfica, Sardinia, Sicily, Candia and Cyprus, befides the fmall iflands of the Ar* chipelago. ( 199 ) chipelago, and others in the gulph of Venice, If you apply your compaffes to that fcale of Englifh miles, and then ftride them from one end to the other of the Mediterranean fea, you will find it about 2000 miles in length. With your compares thus fixed, you can inftantly meafure any of the king- doms, or dates, in this map, or the diftance between any two places. The map being coloured, you immedi- ately perceive the fize and fituation of the feveral kingdoms, &c. You obferve the pro- digious extent of the Ruffian Empire, and the remainder you will find covers an equal proportion of Afia. Sweden, though not very powerful, is next in fize. France, Spain, Germany, Poland, Denmark and Nor- way, Turkey, England and Ireland, Italy and its appendages, differ not materially in di- menfions. The fmall States and Kingdoms are, Holland, Switzerland, Portugal and Pruf- fia; but you are not to efKmate the territo- ries of his Pruflian Majefty, by the fize of his kingdom. He is, befides, Elector of Bran- denburgh in Germany, where you will find his capital, Berlin. To thefe the great Fre- derick added Silefia, which he took from the Emprefs, and obtained a confiderable flice N 4 of ( 200 ) of Poland, in a late partition between the two Emprefles and himfelf. You may fometimes, in converfation, wifh to recolle6t the latitde of the principal cities in Europe. The beft method of fixing this in your memory, is to trace, with your fin- ger thofe that lie in, or near, the fame pa- rallel, thus: Beginning with the latitude 41, on the weft fide of the map, and palling a little above the line 40, you will firft touch upon Oporto in Portugal; thence, travelling eaftward, you will pafs through Madrid the capital of Spain ; thence, over the iiland of Sardinia, to Naples in Italy: and thence to Conftantinople. Thefe cities therefore lie in, or very near, the fame degree of latitude, and therefore enjoy the fame climate, except what differences may arife from local cir- cumftances. If now you move your ringer up to 48, and proceed eaftward, as before, you will pafs through Paris, Manheim, Ratiibon, near Vienna, Prefbourg, through the upper part of Hungary and the fouthern extre- mity of Ruffia. About the latitude 52 you will find London, Amfterdam, Brunfwick, Berlin, Warfaw. In 56, patting from weft to eaft, on the fame parallel, you will travel through through Edinburgh to Copenhagen, and thence to Mofcow. Peterfburgb, the capi- tal of the Ruffian Empire, lies in 60, the latitude of the Shetland iflands. In this map of Europe it is neceflary far- ther to remark, that, befides the Mediterra- nean, there are two other inland feas, viz. the Baltic and the Black Sea. The firft, you obferve, communicates with the German Ocean through the Categate, and the other with the Mediterranean, by the Archipe- lago. On the coaft of the Baltic there are feverai towns which deferve particular no- tice, as you find them frequently mentioned in the public accounts of the progrefs of the prefent war between Sweden and Rufiia. The ports on the Black Sea alfo merit your attention on account of the war between the Ruffians and the Turks. For the fame reafon you fhould mark the fituation of the principal towns on the borders of Turkey. There remains nothing more, I think, of any importance, except the principal rivers, viz. The Volga, which rifes in Mofcovy and falls into the Cafpian Sea at Ailrachan The Don, whofe^fource is not far from that of the Volga, but which runs to the Sea of Afoph The Danube and the Rhine, both which ( 202 ) which take their rife in or very near Swit- zerland. The firft takes an eaflern courfe, and, after pafling, as you fee, through Ger- many, Hungary, and Turkey, falls into the Black Sea: the Rhine takes a contrary di- rection, runs through Germany and Hol- land, and difembogues itfelf in the German Ocean. Rivers of lefs note are the Elbe at Hambourgh, the Tagus at Lifbon, the Thames at London, and the Rhone in France, which laft, you obferve, falls into the Gulph of Lyons near Marfeilles. As to our ifland, you fee it lies between 50 and 60 degrees of north latitude, that, on the eqft, it is feparated from the Conti- nent by the German Ocean j on the weft, from Ireland, by St. George's Channel; and on the fotfb, from France, by the Englilh Channel. Vale. LET- LETTER XXIII. WE now turn our attention to the map of Afia, in which, as in that of Europe, you fee, the Ruffian dominions co- ver the largeft fpace. In this vaft territory, there are few objects worth remembering, except Kamtfchatka, which is mentioned by fome of our northern navigators, and that inhofpitable region, called Siberia, to which Ruffian malefactors are baniflied. The firft of thefe lies between 55 and 60, the latitude of Scotland. With Tartary we have no concern: with Arabia and Perfia, almoft as little. In Tur- key, which is at the weftern extremity of the map, you find Smyrna and Aleppo at the eaft end of the Mediterranean. Thefe places are well known to our merchants trading to Turkey. You there alfo find Jerufalem and other towns mentioned in fcripture. Thence we proceed to India, and tracing the coaft from Surat on the weft fide to the mouths of the Ganges at the eaftern extre-f mity, you pafs in fucceffion, Bombay, Goa, and thence alpng the coafts of the Carnatip, Mala- Malabar, and Coromandel, till you come to Pondicherry, Madras, and fo on to Calcutta. Hence, paffing to the fouth of the Equator, we fail between the iflands of Sumatra, and Java; leaving the Dutch fettlement of Ba- tavia on the right, we proceed directly north to Canton in China, and thence to Pekiti at the northern extremity of that empire. All thefe are places with the names of which you have been long acquainted, and whofe refpective (ituations, I dare fay, you will now remember. The feveral clutters of iflands in this map, are thofe of Japan, of Sonda, the Philippins, the Ladrones, the Moluccas orSpice-hlands and the Moldivias. That part of India with which we have any connection, lies, you obferve, within the Tropic 3 that is, within 23 degrees and a half of the Equator: confequently the inha- bitants have a vertical fun twice during their fummer, and confequently the climate muft be exceflively hot. This, I think, is all that is necefTary to be remembered of Afiaj we therefore now change the fcene. Africa, you obferve, forms a very confi- derable part of the habitable globe. It has hitherto been fo imperfectly explored, that our knowledge extends but to a fmall dif- tance tance from the coafts, in any part. On the eafti it is bounded by the Indian Ocean; on the weft, by the Atlantic; on the north t by the Mediterranean; and on the north-eaft, by the Red Sea. It extends from 73 de- grees of north, to 35 of fouth, latitude; about 5000 Englifh miles : confequently the Equator runs nearly through the middle of it. If now you begin at the Straits of Gib- raltar, here at the north-weft corner of the map, and follow the fouth coaft of the Me- diterranean, you come firft to Algier, then to Tunis, and then to Tripoli; which are the only places of any confequence on the coaft of Barbary. Continuing your journey eaftward, you arrive at Alexandria in Egypt, and pafling the mouths of the Nile, you come to Grand Cairo; thence, travelling with the celebrated Bruce, between the Nile and the Red Sea, you traverfe the kingdom of Nubia, and arrive in Abyflinia. From thence, ftill following the coaft, you will not find a name that you have ever heard before, or that deferves to be remembered, till you come to the Cape of Good Hope, at the fouthern extremity of this continent. It is a Dutch fettlement, in the country of the ( 206 ) the Hcittentots, a people with whom we be^ gin to be better acquainted fince the publi- cation of fome late travels into this part of the world. Having now doubled the Cape, you pro- ceed northward till you come to the coaft of Guinea; thence you pafs the rivers Gam- bia, and Senegal on the Negro-coaft, leav- ing, a little to the weft ward, firft, the Cape de Verd iflands, then the Canaries, and fi- nally the ifland of Madera. On the fouth fide of the Equator, you obferve two fmall iflands, at a confiderable diftance from the continent, St. Helena and Afcenfion, both in the track of our Eaft-India (hips. There is alfo an ifland on the eaft coaft of Africa, called Madagafcar, too large to have efcaped your notice. This map of the continent of America, and of the Weft India iflands, requires to be ftudied with fome attention ; particularly North America, as without a competent knowledge of that country, you cannot pof- fibly underftaud the hiftory of your own times. By North America is generally under- ftood that traft of country which lies be- tween the northern extremity of Hudfon's Bay ( 207 ) Bay and the Gulph of Mexico. Between the latitude 55 and 50 you find, New South Wales and Labrador. This is a very cold climate, though in the fame latitude with England. From 50 to 45, you have Ca- nada, Nova Scotia, and Newfoundland. Thefe are ftill very cold countries, though in the latitude of France. Between 45 and 40, lies New England. Thence you pro- ceed fouthward through Jerfey, Penfylvania, Maryland, Virginia, N. and S. Carolina, Georgia and Florida. Weftward of thefe you obferve Louifiana and the vaft kingdom of Mexico, extending fouthward as far as Panama, within 7 degrees of the Equator. From Panama down to Cape Horn, the fouth point of America, you pafs no places of note, except Lima the capital of Peru, whence the Spaniards import Gold, and what is more intrinfically valuable, the Cor- tex Peruviams. In latitude 33 you leave, a little to the weft, the ifland of Joan Fenian- des, rendered famous by Anfon's Voyage. You now double the Cape, and pafling Falkland's ifland, proceed northward along a defart coaft till you come to Buenos Ayres at the mouth of the great river of Paraguay, which runs through an extenfive country of the ( 2 o8 ) the fame name; for an account of this river and country, I refer you to the Travels of my old acquaintance Don Antonio d'Uloa. About forty years ago, I had the pleafure of his company from London to Lifbon. He was a Philofopher, and lamented much that the Inquifition would not permit him to fay, the Earth moves round the fun. You are now arrived at the Brafils, an extenfive country, the coaft of which is in pofTeffion of the Portugueze. Having doubled Cape St. Roque and pafllng the mouth of the vaft river of the Amazons, you touch at the Dutch fettlement of Surinam, and thence proceed along the coaft till you come to Curafao, an ifland, alfo in pofleflion of the Dutch. From this ifland they import that fuperior fpecies of Tobacco which they call Kanafter or Varinas y the name of a town on the Spanifli T^erra-frma^ in the neighbour- hood of which it is cultivated by the inha- bitants, who barter it with the Hollanders for European goods. Hence we continue our coafting voyage till we arrive at Carthagena and Portobello, names that were familiar to every indivi- dual in Britain when I was a boy. We were then at war with Spain. Portobello was 209 ) vVas taken by Admiral Vernon, who became the hero of the day, and the fign of an ale- houfe in every village. You now come to the Bays of Honduras and Campeachy, where we claim a right to cut Logwood, which right the Spaniards difpute whenever they want a pretence for quarrelling. Faffing Vera Cruz, you leave the city of Mexico on the left, and continue coafting the Gulph, till you come to New Orleans near the mouth of the famous river Miffiffippi, the project of a trade to which fomewhat more than half a century ago, about the time of our South Sea bubble, ruined half the peo- ple in France. Your next objefts are the iflands of Cuba and St. Domingo or Hifpaniola, as it is alfo called, belonging to Spain. Near the weft extremity of the former, you find the Ha- vanna, which the late Lord Albemarle and Sir George Pocock, took in the war preced- ing the laft. South of Cuba, lies our Ja- maica, and to the northward the Bahama iflands. Eaft of St. Domingo you fall in with another firing of fmall ifles, the chief of which are Antigua, St. Kitts, Barbadoes and Nevis belonging to us; and to the O French, ( 210 ) French, Martinico, Guadaloupe, St. Lucia and Dominica. Probably, before you quit America, you may wifh to be more minutely acquainted with the fcene of the late war with our re- bellious children : a war by which they ob- tained their liberty: a war that coft this na- tion much more money than would have purchafed the whole country, and almoft as many men as there are people in it : a war that has overturned the French monarchy, and kindled the torch of Difcord in different parts of Europe: a war that in. its confe- quences has fpread alarm among princes; but a war that immortalized four Englifh Generals. The various fcenes of their ex- ploits you muft look for at Bofton ; on Long Ifland near New Yorkj in the Jerfeys, par- ticularly at Trenton; at Charleftown, at Philadelphia, and at Saratoga. There remains, I think, nothing more in this map of America, except this clufter of iflands, for the knowledge of which we are principally indebted to Captain Cook. I mean the ' Society Iflands in the Pacific Ocean, between 15 and 20 degrees of fouth latitude. In the centre of thefe you obferve the celebrated Otaheitee. Thus, Thus, I flatter myfelf, I have fulfilled my promife, in communicating, in the compafs of two not very long letters, as much Geo- graphical knowledge as you will ever want. In my next, I purpofe to fatisfy your curio- fity relative to the four prints of Pceftwn which I have lately hung up in my ftudy. Mean while, I am, &c. 02 LET- LETTER XXIV. THAT you fhould recoiled no claflicaf information concerning the city of Poeftum, is not very furprizing, as I believe that in the ancient authors you have read, there are but two paflages in which it oc- curs? one in the Georgia* Forfitan et pinguis horfos qua cur a colendi Qrnarety canerem^ biferique rofaria Pafti. The other in the Metamorphofes, Leucojiamque petit, tepidique rofaria "Pcefli. The original name of this city was Pofi- donia, from naareifuv, Neptunus, to whom it was dedicated. When, and why, the Ro- mans changed its name to Pceftum, I do not know. It is fituated in the gulph of Salermo, on the weftern coaft of Italy, about 60 miles fouth of Naples. Whether it was built by the Sybarites or by the Do- rians, is matter of difpute; it is certainly however of very remote antiquity, if it be true, as the Sicilian Diodorus tells us, that Hercules in his travels refted on a rock in the the country of the Pofidonians. But, be the original founders or pofTeflbrs of this city who they might, hiftorians tell us, that whilft the Romans were yet in their infan- cy, Pofidonia was taken by the Lucanians, a colony from the Samnites; that this peo- ple were difpoffefled by the Romans, in the year of Rome 480, at which time it became a Roman colony, and afterwards a municipal town. About the year of Rome 528, when D. Quintinus was fent againft Tarentnm, we learn, from Livy, that the three cities of Rhegiurn, Velia and Pceftum furnimed twenty (hips to the afllflance of the Ro- mans 5 the fame author alfo tells us, that, fix years after, during the Punic war, Pcef- tum fent, by their embaffadors, a prefent of golden cups, but that they were not accept- ed. Legati a Pcejlo pater as aureas Romam attulerunt \ ih^Jlcut Neapolitanis, gratia afta, non acceptum. In another place, he makes honourable mention of this city among thofe, which, after the battle of Cannae, when the Romans were in great diftrefs, generoufly aflifted them with troops and money, for which they received the public thanks of the Senate and people. o 3 From ( 4 ) From the time of the Roman Republic, till the ninth century of the Chriftian ara^ hiftorians make no mention of this once magnificent city. But we learn that, in the year 366, Docibilis duke of Gseta, being at war with one of his neighbours the Lord of Capua, folicited the aid of the Saracens, a colony from Sicily, then eftablifhed irj Calabria. They came to his afliftance and remained in pofleflion of a confiderabte part of the country, whence they were finally ex- pelled by means of a body of Greeks fent by one of the Conftantines. But, before their entire expulfion, in the year 930, they en- tered Pceftum in the night, and after pillag^ ing the inhabitants, fet it on fire. There remained yet confiderable veftiges of its ancient magnificence, till, in the year 1080, the pious zeal of Robart Guifcard, dripped the ancient temples of their orna- ments, for the purpofe of adorning a church which he was then building at Salermo, where, he believed, the bones of St. Matthew were depofited. From the many Infcriptions found in the ruins of this ancient city, I will felect the following, as one of the moft remarkable, TVLLI. OLERII. POESTANI QVI. VIX. A. LXXXXV.D.XI. FF. XXVIII. NN. LXXXIII. C. L. P.P. I dare fay you will conftrue it without the leaft difficulty. In the firft print, you have a profpeft of the country, and of the ruins of Pceftum as it now appears at a diftance. Its walls, you fee, are wonderfully entire, confidering their great antiquity. The higher towers next the gates are fuppofed to be of more modern conftruclion. Over the arch of the north gate, on the outfide, there is a figure of Neptune, carved on the key-ftone of the arch, and on that within, a hippocampus, or fea-horfe. The circumference of the city is about two miles and a half. It muft always have been an unwholefome place from its vicinity to the Palm L,ucaniae y and from the bituminous and fulphureous fprings with which it is furrounded: for this reafon the inhabitants were under the neceflity of procuring water from diftant hills, as appears by the ruins of feveral aqu3edu<5ls. The principal ruins within the walls are an Amphitheatre, a Theatre, and the three o 4 Tem- Temples which you fee in thefe three prints. They are all what the Greeks called amphi^ proftyhs, that is, having two porticos, one to each front. The columns of thefe temples are of the Doric Order, in its moft ancient manner. j Probably you will be furprized when I in- form you, that the ruins of Pceftum were fii ft .difcovered about five and thirty years ago. How this difcovery happened, I will tell you, in the words of my worthy friend Dr. Longfield, to whofe learned publication, I refer you for a more circumftantial ac- count of thefe ruins. " In the year 1755, an apprentice to 3 painter at Naples, who was on a vifit to his friends at Capaccio, by accident took a walk to the mountains which furround the territory of Pceftum. The only habitation he perceived, was the cottage of a farmer, who cultivated the beft part of the ground, and referved the reft for pafture. The ruins of the ancient city made part of this view, and particularly ftruck the eye of the young painter; who, approaching nearer, faw, with aftonifhment, walls, towers, gates, and tem- ples. Upon his return to Capaccio, he con- fulted the neighbouring people about th9 origin ( "7 ) prigin of thefe monuments of antiquity. He could only learn, that this part of the coun-? try had been uncultivated and abandoned during their memory ; that, about ten years before, the farmer whofe habitation he had noticed, eftablifhed himfelf there 3 and that having dug in many places, and fearched among the ruins which lay round him, he had found treafures fufficient to enable him to purchafe the whole. " At the painter's return to Naples, he informed his matter of thofe particulars, whofe curiofity was fo greatly excited by the defcriptjon, that he took a journey to the place, and made drawings of the princir pal views. Thefe were fhewn to the King of Naples, who ordered the ruins to be cleared, and Pceftum arofe from the obfcu- rity in which it had remained for upwards of feven hundred years, as little known to the neighbouring inhabitants as to travel- lers," Farewel, L E T- t E T T E R XXV. I MEANT, in fome future letter, to have brought you acquainted with Botany in its proper place, as a branch of Natural Hiftoryj but as the fpring is the beft feafon for beginning the ftudy of this fcience, fub- jjec~ls of more importance muft give place to it for a time. Safoitur acrh by ems grata vice Verh et Favom> Let us therefore turn our prefent atten- tion to that beautiful part of creation terra quemferuntfoluta. Botany was originally ftudied with an attention folely to the medical virtues of plants. The only ancient Greek author on this fubjeft, whofe writings are now extant, is Tbcopbraftus, the difciple and fucceflbr of Arijlotle: he flouriflied about 320 years prior to the Chriftian aera : he is faid to have writ- ten ten books On the hiflory of Plants > one of which is loft; and eight, on their caufes, of which only fix remain. In imitation of Arifltotle's Hiftoria AnimaUum> his book is not ( 219 ) not a hiftory of particular plants, but of plants in general. He mentions about 500, but defcribes fo few with accuracy, and the reft fo very imperfectly, that fucceeding bo- tanifts have been able to recognize but a fmall number of them. Probably Dr. Sib- thorp, who hqp lately explored the country where Theophraftus herborized, may have afcertained many of his plants, and I hope he will not long withhold his difcoveries from the public. Theophraftus was firft tranf- lated into Latin by Geza. The two later naturalifts worth notice, are Diofcorides and the elder Pliny; that unfortunate Pliny who perifhed in the fmoke of Vefuvius. They appear to have lived at the fame time, that is, about the middle of the firft century. Of the writings of Diof- corides only eight books have been preferv- ed. He mentions about 600 plants j of thefe he defcribes about 400: but few of his de- fcriptions anfwer to our plants. Pliny's work is entitled de Hiftorla Mundij of which only 37 books are preferved. It is an indifcriminate collection of all that he had read of Natural hiftory. The vegetable part is a mere tranfcript from Theophraftus, ( 220 ) fMofcorides, and a few other writers whofe works are loft. Pliny fays, that Cato was the firft Roman who wrote of Plants, and that, after him, one Pompeius Len that Cratevas, and others, publifhed colour- ed drawings of plants ; and that Antonius, Caftor, a Roman Phyfician, had a Bonta-? nical Garden, in which he (Pliny) had feen moft of the herbs he defcribes. This Caftor was then a hundred years old. Is it not a little extraordinary, that the name of Pom- py's freedman., who tranflated the papers of Methridates, fhould fo nearly refemble that of Linnaus, the great author of our prefent fyftem of Botany? If you have any inclination to know the botanical authors from Pliny down to our own Ray, you will find a fhort account of each, and of their writings, in Tournefort's Jfagoge J Ifagoge in Rent Herbariam. In this cata- logue there is not a iingle writer, from thg firfl to the fixteenth century, whofe bota- nical labours deferve the leaft attention. Without methodical arrangement, natural hiftbry feems a chaos; yet no attempt at a botanical fyftem appeared till the year 1583, when Caefalpinus, profefTor of Medicine at Padua, publifhed his book de Plantis, in which they were arranged according to their fruftification, or-manner of producing their feed. But this fyftem laid dormant almoft: a century after his death, when it was re- vived by Morifon, profefibr of Botany at Oxford, in his Hijloria Plantarum^ Oxonienjis, fol. 1680. To this fyftem fucceeded that of our excellent botanift Ray, many years a refident member of Trinity college, Cam- bridge. He formed his 3 1 claffes partly on the diftinctions obfervable in the fhape of the corolla, and partly on the fruit. He publifhed his Methodus Plantarum nova in 1682; the firft volume of his Hijloria Plan- tarum (which you may fee in the Univerfity Library, in 3 huge folio volumes) was print- ed in 1686; and his Synopjis ftirpium Britan- nicarum, in 1690. The beft edition of this book is that publiflied by Dillenius in 1724. The ( 222 ) The next fyftem was that of Tournefort 3 which he firft publifhed in French, in the year 1 694, and in 1700, in Latin, under the title of Injlitutiones Rei Herbaria, 3 vols. 4. The sd and 3d volumes confift entirely of plates, in all 475. He divides the vegetable kingdom into 22 clafTes, characterized by the fhape and number of petals in the flower. His generic diftinctions are founded the fructification. The firft of thefe three fyftems, invented by Csefalpinus, was ill adapted to the invef- tigation of flrange plants, becaufe it was impofiible to difcover the clafs to which they belonged, till the feeds were completely formed. Ray's fyftem was, in part, liable to the fame objection. Tournefort's fyf- tem was natural and eafy enough, in the general clarification , and his genera are commonly afcertained with fufikient accu- racy; but he goes no farther: fpecific cha- racters made no part of his fyftem. The Linnsean fyftem of Botany is now generally received and univerfally taught. It is confefledly artificial; but much better adapted to the inveftigation of an unknown plant, than any of the former. His Claffes are fubdivided into Orders* and his Genera * into into Species and Varieties. It is called the Sexual fyftem y becaufe he confiders the Sfa- mina analogous to the male organs of gene- ration in animals, and the Piftilla to the fe- male. He divides the entire vegetable king- dom into 24 clafTes, 23 of which are diftin- guifhed by the number, or the comparative length, or the connection, or the fituation of the- Stamina. The 24th clafs compre- hends the plants in which the organs of ge- neration are invifible. The Orders generally depend on the number of Piftllla in the flower: fometirnes on other circumftances. The Genera are characterized by peculiari- ties in the flower; the Species by the leaves or flem, and. the Varieties by accidental cir- cumftances. The fir ft thirteen ClaJ/es and their Orders, are denominated from the number of Sta- mina and Pejlllla ; thus, Monandria monogynia, from fMvos umcus, avi% marltus, and yvni mu- lieri that is, one hufband and one wife, the flowers of this Clafs containing one Stamen. and one Pi/tillum-, and fo of the other thir- teen Clafles and their refpeclive Orders j for a circumftantial defcription of which, and of all the fucceeding ClafTes, I refer you to your jroiir Cto/V, which you will receive with tnfo letter. Probably you may have fome curiofity to know who this celebrated Linnaeus was; this inventor of the new fyftem you are about to ftudy. I will therefore give you a Iketch of his life. Charles Linnaeus was the fon of a Swe- difh Divine, and born in the year 1707, at Rcefhult in the province of Smoland. He was, in his infancy, fo attentive to the knowledge of plants, and confequently fo negligent of his other frudies, that his father determined to take him from fchool and to bind him apprentice to a (hoe-maker. How- ever, in 1717, he was fent to the Univerfity of Lund, and in 1728 removed to Upfala, where he perfevered in his favourite fludy of Natural Hiftory, under the fevere oppre fion of abfolute poverty, until his fingular abilities and application gained him the pa- tronage of Olaus Celfius, profeflbr of Divi- nity, and Olaus Rudbeck, profeflbr of Me- dicine and Botany. In 1731, he was fent on a botanical ex- pedition into Lapland, and received, from the Royal Society of Upfala, the fum of eight eight pounds Jlerling, for his travelling ex- pences. He was abfent about a year and a half, in which time he walked 4000 miles. Soon after his return, he publifhed his Flora Laponica, in which the plants were arranged and defcribed according to his own new , fyftem. In the year 1735, he began his journey to Holland, where, on the recommendation of the great Boerhaave, he was patronized by Mr. Clifford, whofe botanical garden he fuperintended, and at whofe expence he travelled to France and England. In 1738, he returned to Stockholm, where he mar- ried and fettled as a phyfician. In 1741, he was appointed ProfefTor of Botany at Up- fala. In 1753, he was created Knight of the Polar Star, and, three years after, enobled. He died in 1778, aged 71. The diftin&ion of male and famale plants was, by no means, the invention of Linnasus. It is as old as Empedocks, who wrote a book, De natura et principiis Rerum> about the 75th Olympiad, in which, as we learn of Arif- totle, he fpoke of plants as being oviparous, and hermaphrodite. An Olympiad, you know, was a period of 4 years, by which the Greeks computed time: this Empedocles, P there- ( 226 ) therefore, muft have lived near a hundred years before Ariftotle, who was born about the 98th Olympiad. I dare fay you remem- ber to have read, that this Empedocles threw himfelf headlong into ^Etna, that the world might believe he was a God. He certainly convinced the world that he was a fool. Ariftotle exprefles fome doubt of this new doctrine of vegetable generation, yet he tells us, that, if the duft of a branch from the male Palm-tree be fliook over the female, her fruit will foon ripen. Theophraftus, the difciple of Ariftotle, ob- ferves, that the chief diftinclion among trees is their gender, male and female. Diofcorides and Pliny, both fpeak of male and female plants, but without precife ideas of either. Caefalpinus obferved the differ- ence of fex in the Ciafs of plants which Linnaeus has fince called Dioecice. But Za- luzianjkl> a native of Poland, who, I believe, wrote at the latter end of the i6th, or be- ginning of the i 7th century, appears to have been the firft botanift who diftinguifh- ed the fexes of plants in their various modes of males, females, hermaphrodites, and an- drogyna. \ I : Many years after this, pur countryman *i Grew, Grew, and other natural! fts of different na- tions, refumed the enquiry, and, by micrc- fcopical obfervations, difcovered that the females were impregnated by the polen con- tained in the anthera of the males. On this foundation Linnaeus built his Sexu al Syftem ; a fyftem entirely his own. We now return to the other clafles. ClafsXIV. DiDYNAMiA,has four Stamina, two long and two fhort: the Orders are de- termined by the Seeds being naked or in- clofed in a Pericarpium. Clafs XV. TETRADYNAMIA, has fix Sta- mina, four long and two fhort. The Orders depend on the form of the Pericarpium. Clafs XVI. MONADELPHIA; Stamina unit- ed at the bafe; Orders diflinguifhed by the number of Piftilla. Clafs XVII. DIADELPHIA; Stamina ge- nerally in two divifions; the flower papilio- naceous. The Orders fignified by the num- ber of Piftilla. Clafs XVIII. PALYADELPHIAJ Stamina in three or moredivifions: Orders depend on the number of Piftilla.. Clafs XIX. SYNGENESIA; Five Stamina, united in the Anthera. Orders determined by the formation of the Flofculi. p 2 Clafs ( "8 ) Clafs XX, GVNANDRIAJ Stamina on the Pijlillum. Orders diftinguifhed by the num- ber of Stamina. Clafs XXI. MONOECIA; Stamina and Pif- tllla in feparate flowers on the fame plant. Orders, from the fituation or number of the Sfamma;orfi'om theunitingof t\\z\r Anther &. Clafs XXII. DIOECIAJ Stamina and Pif- tilla on feparate plants. Orders the fame as in Clafs 21. Clafs XXIII. POL YG AMI A ; Stamina with- out Pijlilla y or vice verfa, or both together. Orders depend on the fituation of the Sta- mina and fiflllla. Clafs XXIV. CRYPTOGAMIA; Parts of fructification not diftinguifhable. Orders, from habit or apparent refemblance. You, who are a Greek fcholar, will find no difficulty in difcovering the etymology of the titles of thefe feveral clafTes : You will then eafily fix them in your memory. But I (hall explain them farther in the exami- nation of particular plants. This method of reading the great book @ Nature, and of inveftigating her productions in the order and fucceilipn in which (he prefents them to our view, I conceive to be far preferable to the dry method of learning Botany by means means of formal Introductions or Rudiments^ the contents of which it is impoflible to re- member without examples, and which ex- amples it is impoflible to procure in ftudy- ing the feveral ClafTes in regular fucceflbn. I have no intention, in giving you this general introduction to the fcience of Bota- ny, to allure you from more important flu- dies. You are to regard it as a fcience of amufement; but, with this ftrong recom- mendation, that it may be acquired without ftealing a fmgle hour from your neceflary lucubrations. We read of men, who, in the fhort fpace of human life, have acquired a degree of univerfal knowledge, to which one might imagine the age of an antedilu- vian would hardly have been fufficient. The late illuftrious Profeffor Haller, of the Uni- verfity of Gottingen, was a remarkable ex- ample of this univerfality. He was a mi- nute anatomift, an accurate phyfiologift, an indefatigable botanift, a charming poet, a claflical fcholar, an univerfal linguift, an aftonifhing bibliothecarian, and, in the latter part of his life, a moft intelligent magiftrate. That a man of univerfal erudition was p 3 no no uncommon phenomenon among the an- cients, appears from the following pafTage in Cicero, who, in fpeaking of the Greek philofopher, fays in qua difficile eft enume- rare quot viri^ quanta fcientia, quantaque in fuis Jludiis varietate et copia fuerint y qui non una aliqua in rejeperatim elaborarent^ fed om- nia qiuzcunque effent, vel fcientite pervejliga- tione, vel diflerendi ratione comprehenderent. Gefner, the great Swifs naturalift, was fo aftonilhing a prodigy of knowledge, that Boerhaave ufed to call him MonJIrum erudi- tionis. His extenfive learning appears truly wonderful, when we confider, that he fhone in the midft of a dark world; in an age of grofs ignorance, and deprefled by indigence. He lived early in the i6th century. Genius, application and memory, are doubtlefs neceflary to the attainment of what may be called univerfal knowledge: by univerfal knowledge, I mean an intimate ac- quaintance with fome fciences, and fome- what more than a fuperficial knowledge of the principles of all : but, I believe, the la- bour of becoming thus univerfally learned is not fo very herculean as we generally imagine j and that it depends principally on a ju~ ( 231 ) a judicious arrangement of our ftudies, and difpofition of our time. In the arrangement of our fludies we fhould imitate the Ikilful agriculturift, whofe fucce.Tive crops fo re- lieve each other, as to preclude the neceflity of fallowing^ and, as to the difpofition of our time, let us take Botany for an exam- ple. A man who ftudies all day and every day, will, in a few years, become unhealthy and ftupid : therefore, part of every Undent's time muft be loft in exercife. Loft did I fay ? No : it is not loft to a Eotanift. He fludies where other men, for want of books, muft lounge. To him the book of Nature lies conftantly open. He reads as he walks along: every field is a new chapter; every leaf is an 'object of attention, and every flower a prize. A general knowledge of Botany therefore may be learnt at times when other ftudies are necefTarily fufpend- edj confequently it interferes with no other fcience. I fay a general knowledge^ which is enough for a gentleman who ftudies Botany as an amufement: an univerfal and minute botanift muft unavoidably neglect things of more importance. In my next letter I fhall lead you into the fields. Remember to p 4 take. take, in one pocket, your tin btx t and, in the other, the fecond volume of your Synopfa*. Adieu. * Synepjti of the Natural Hi/lory of Great Britain and Ireland, printed for T. Cadell, 1789. LET- ( 233 ) LETTER XXVI. MARCH, 1790. IF you have read my laft letter with at- tention, the 24 clafies of Linnaeus are fixed in your memory: without a perfect recollection of thefc, it is impoffible to pro- ceed a fingle ftep in the modern fyftem of Botany. As to the Orders, it will be time enough to look round the houfe when you are introduced to the family. Notwithstanding the remarkable mild- Bellis. nefs of the winter, you fee, our bota- nical enquiries of to day, will be con- fined to a fmall number of flowers. The common Daify, and that yellow flar, which you obferved, in abundance, on the declivity of the ditch near the iron gates of King's, are the only flow- ers we have feen. Let us begin with the mod common of all flowers of the field, the Daify, univerfally called, in Latin, Beltis. The fpecific, or trivial, name, given by Linnaeus to the fpecies in your hand, isperennis, to diftinguifti it ( 234 ) it from the other, which he calls annua. The firft of thefe only, grows wild in this kingdom. Notwithftanding its vulgarity, you will find it a very curi- ous object. You will hardly believe me when I tell you, that there are, in that fmgle Daify, about one hundred and twenty complete yellow flowers, befides fifty white ones without Sta- mina. As to its name, Bettis, fays Ray, Latinis a hello feu pulchro color e forum difta creditur; and its Englifh etymology, we learn from thefe lines of our ancient poet Chaucer, Well by reafon men it calle maie The Daifie, or elfe the Eye of the daie. And at the laft there tho* began anon A Lady for to fmg right womanly A Bargonet in praifing the Daifie; For as methought among her notis fwetc She faid,/ douce eft la Margarete. You will find this paflage quoted at length in Curtis's Flora Londinenjis. If now you pull out one of the white ex- ternal rays of this little flower, of which there are about 58, by applying this mag- nifying glafs, you will find it tubular at the the bottom, and containing a fingle piftll- lum. You now detach fome of the yellow- florets which compofe the difkj each of thefe you will difcover to be a perfect tu- bular flower, containing $Jlamina and one pijlillum. Now as each of thefe florets of the difk is provided with the male and fe- male organs of generation neceffary to the production of feed, \\\z pijlillum in the radii is fuperfluousj which circumftance deter- mines the Order to which it belongs, viz. Poly garni a fuperfua-y and that it is of the Clafs Syngenefia is evident, becaufe the flower con- fifts of a number of florets comprifed within one calyx, which is the general charafterif- tic of that clafs. You are alfo to obferve, that, in this clafs, thejtamina are united at their extremities, fo as to form a cylinder; and that, at the bottom of each floret, there is a fingle feed placed on the receptaculum* For the meaning of thefe and other techni- cal terms, I muft refer you 'to your Clavis*, where I have explained them according to what I conceive to be the Linnaean accepta- tion. I need * Clavh Anglica Lingua Botanica^ or a Botanical Lexl- coV) &c. the firft edition of which I publifhed when I was a ftudent of Medicine at Edinburgh. It was originally written for my own ufe, and republifhed laft year. ( 236 ) I need not tell you that the word Synge- nefia is derived from 2uv, fimul> and revfo-/?, generatio^ and that it is the i9th clafs; a par- ticular explanation of which you will alfo find in the book lad mentioned. Having now ftript off all the florets, white and yellow, there remains, in your hand, a naked conical receptaculum-, feeds without pappus i calyx hemifpherical, com- pofed of uniform fcales; feeds obovate. Thefe peculiarities determine the genus. The Species is diftinguifhed by the ftalk being naked, fcapo nudo. If Chaucer, in the lines above quoted, alluded to this our common Daify, probably he was miftaken in the French name, which is Paquerete. The plant which the French call Margarite is the Chryfanthetnum leucan- thetnum, or Ox-eye Daify; eafily diftinguifh- ed from the former by its fize, the leaves on the ftalk, &c. From this fpecimen, I conceive, you have acquired botanical knowledge fufficient to {liftinguifti the plants of the Clafs and Or- der, Syngenejia, poly garni a fuperfua t wherefo- ever you may find them. Let us now ex- amine one of thofe yellow ftar-like flowers which grow in fuch abundance in this field. On ( 237 ) On the fir ft infpection, you per- Ranun- ceive that theftamzna are more than cu!us ' 20 ; therefore it is of the Clafs Poly- andria: and in the centre of the flower, you find a great number of germlna y which are the female organs, though without ftyti> and their ftig- mata are very minute. This brings it to the Order Polygynia. As to thegemts of this plant, authors dif- fer. The celebrated Haller and Hudfon, make it a diftincl: genus, and call it Ficaria verna. But our great mafter Linnaeus muf- ters it among the Ranunculi, and he is fol- lowed by Curtis and Relhan. Thefe are in- difputable authorities. This is the generic character of the Ranunculus Calyx penta- phy Hits ; Petala quinque, intra ungues poro mel- lifero. Now the flower in your hand has a calyx of but 3 leaves, and the petals are 8 in number; but thefe differences which are not invariable, are infufficient to conftitute a new genus. The fcale and nettarium at the bafe of each petal; their glofs and the general habitus of the plant declare it to be a Ranunculus. The Species we difcover, by its leaves be- ing heart-fhaped, angulated, on long petioti-, and and by each (talk fupporting a (ingle flower. This defcription agrees only with the/ra- rta: fo that we now no longer hefitate to call our plant the Ranunculus ficaria of Linnaeus, or Pilewort; of which you will find a very good plate, well coloured, in my copy of the Flora Londinenfis. Cal- On the oppofite fide of that ditch, tba " you fee a yellow flower, fomewhat larger than this, apparently of the Ra- nunculus genus. It is indeed of the fame Clafs and Order, viz. Polyandria Polygynia, but differs from the Ranunculi in having no calyx, no netfarium, and in its feeds being inclofed in capfules. It refembles the Ranunculi in having 5 rounded petals j but they are not glaz- ed on the upper fide. The flowers grow in pairs on feparate/Wwflcw//. The leaves are heart-(haped. It is the Cal- tha paluftrisy the only fpecies of that genus hitherto found in any part of the world. You will find them in al- moft every fwamp, and particularly in very great abundance on the morafs at the back of Peter-houfe. : I fup- 239 I fuppofe Thomfom meant this Water- lily in thefe lines, See how the lily drinks The latent rill, fcarce oozing thro* the grafs, Of growth luxuriant, or the humid bank In fair profulion deeks. Under thofe trees, in the language of the fame poet, where purple violets lurk With all the lowly children of the fhade, you will find fome purple flowers. You know them to be violets by the fmell. But you wifh to learn to what Clafs and Order they belong. Carefully infpefting the cen- tre of the flower, you will difcover 5 fta- mina, the anthera of which are united. Now this being the efiential charafteriftic of the Syngenefia, it certainly is of that clafs ; but, as in this Violet, we do not find a number of florets inclofed in one common calyx, it muft necefTarily belong to the Order Mono- gamia; which differs remarkably from the other 5 Orders of this clafs, in the flower being fimple. This Order excepted, the clafs Syngenefia is perfectly natural. The generic character of the Violet is, Calyx of 5 leaves; 5 leaves? Corolla of 5 petals, irregular, horned behind} Capfule above, trivalve, uni- locular. The Species is determined by the plant producing no Stem ; the leaves being heart- fhaped, and fuckers creeping. It is called by Linnaeus Viola odorata. In the Flora Londinenjis you will fee the minute parts of the Violet with more eafe than in the natural flower. Of the genus Viola, there are 28 fpecies; only 6 of which have been found in this kingdom, and but 4 in Cambridgefhire, as you learn from my friend Relhan's valuable Flora. Thefe are Viola odorata y fufficiently diftinguifhed by its fmell. V. berta> is inoderous and hairy; the brae- tea grow lower on the pedunculus, and it blooms fomewhat later. V, canina, produces a ftern; its flower, which is fometime white, is larger, and does not appear till April. V. tricolor, is fufficiently diftinguifhed by the colours of the flower, and the ob- long fbape of its leaves. Blooms in May. Nor- ( 241 ) This pale yellow flower, which I ga- Afcr- thered at the corner of the wood, you '$" fee, has fix ftamina and one pijlillum: therefore it is of the Clafs Alexandria and of the Order Monogynia. The petela are fix, and the calyx is a fpatha. Now confult your Flora Cantabrigienjis, and you will find but two genera in this Clafs and Order whofe calyx is a fpatha, or fheath, viz. Allhtm and Narctffiis. In the firft of thefe, \hefpatha contains fe- veral flowers: in the plant in your hand, it includes but one : therefore it is the latter. And as there is in this county but onejpecies of this genus, you cannot miftake in calling it the Nar- ci/us pfeudo-narciflus, or Englifh Daffo- dil. Mr. Relhan found it at Whitwell* near Coton, and at Whittlesford. Linnseus enumerates 14 fpecies of Nar~ dj/us. In number 6 1 of the Botanical Ma- gazine, you will fee another fpecies of this plant, which, the author obferves, has been overlooked by Linnseus. He calls it the in- comparabilis, after our ancient botanift Par- kinfon. There is alfo a tolerable wopden reprefentation of it in Gerarde, who calls it ( 242 ) it Narciffus omnium maximum feu nonpar eile. It is well known to the London gardeners by the name of the Egg Narciffus, or Orange Phoenix. Betides this which I have gathered, there is a fpecies, called poetlcu^ found in fome parts of this kingdom. It is rather a rare plant. Its fpecific appellation you will eafily conceive originates in a fuppofition that this is the flower into which the felf-enamored fon of CephhTus. was metamorphofed. . . - i croceum pro corpore florera Irweniunt, folris medium cingentibus albis. It feems, indeed, pretty evident, from the defcriptions of Theophraftus, Diofcorides and Pliny, that our Daffodil is- a fpecies of the Narciffus of the ancients. There is but one objection to this fuppofition: they do not, by any means, agree in their time of flowering. The firft and laft of thefe an- cient naturalifts tell us that their Narciffus blooms about the Autumnal equinox, and Virgil's necfera comantem Narciffus^ I am fure you remember. "-^ What ( 243 ) What tree, or rather fhrub, is that Pru* in the hedge, bearing thofe white blof- nus ' foms ? Let us examine the flower. Thejtamna, you perceive, are numerous, 20 or more: therefore it is either of the Clafs Icofandrla or Potyandria. But I have iio doubt to which it belongs, when I fee that the Jlamina are not fixed to the recep- taculum^ but to the infide of the calyx; that circumftance being peculiarly characleriftic of the Clafs Icofandfia. Befides, the calyx is of one leaf, and the petals are fixed to the fide of it 3 circumftances which pofi- tively diftmguifli this ctafs. In the centre of thefe Jlamina you find one fiftillum: therefore it is of the Order Mono- gynia; of which this ifland produces but one genus, viz. Prunus. Of this genus I have, in the Synopjis, defcribed 5 fpecies, only three of which grow in this part of the kingdom. In the infititla the pedunculi grow in pairs, the leaves are oval and a little woolly. In the ceracius the flowers grow in a kind of fhort umbell, and the leaves are ovato- lanceolate. But in \hefpinofa the leaves are lance-fhaped, fmooth, ferrated, the branches fpinous, and the flowers grow from the ala? of the leaves on fm$\e ftdunculi , all which eir- ( 244 ) circumftances unite in the flirub from which you took this bloflbm: therefore it is the Prunus fpinola, Black-thorn, or Sloe. This clafs Icofandria comprehends many fruit-bearing trees and fhrubs, none of which are indigenous in this kingdom ex- cept the Sloe, the wild Pear, the Crab, the Bramble, the Medlar, the Rafberry, and the Sorbus, or Service-tree j that tree of the fruit of which Virgil tells us, the Scythians made a liquor in imitation of wine; that is, a fort of Cyder. Sitting by a good fire Hie notfem ludo ducunt, et focula laetl Fermento atque acidis imitantur viteaforbis. Of thefe trees and fhrubs, only the firfl four are found wild in Cambridgefhire. As this month is not very prolific of flowers in the fields, let us walk down to- wards yon rivulet. Probably we may find more trees that will bring to your recollec- tion other lines of my favourite Roman poet. Popu- Thofe trees growing on the banks lus - are the Populus nigra, Black Poplar: its male and female blofibms are on fepa- rate trees; confequently they are of the Clafs ( 245 ) Clafs Dtoecia. In the male flower you will find eight Jlamina; therefore the Order is O&andria. The calyx of the amentum is a lacerated fcale, and the corolla turbinated, oblique and entire. In the female, the jllgma is quadrifid; the capfule bilocular, and the feeds nu- merous and downy : fuch is the generic character. The fpecies is determined by the leaves being of a rhomboidal lhape, dark green and on yellow foot- ftalks. The Poplar, and probably this fpecies, is among the trees that Virgil fuppofed to grow fpontaneoufly, without feed. Wamque alia, nullls hominum cogentibus, ipfe Spontefua veniunt, campofque etfumina late Curva tenent', ut mollejiler^ kntte geniftez, PopuluSy et glauca canentia fronde falifta. What this/fcr was, is doubtful. Com- mentators alfo differ in opinion concerning the lenta Genift#. It has generally been tranflated Broom, named Spartium by Lin nseus, whofe Genifla is our Furze or Whin. Virgil in the fame book of his Georgics, mentions the Genifla as affording leaves for 0.3 the the cattle, fliade for the (hepherds, hedges for the fields, and food for the bees. falices, humtlefque genifta Aut ilia pecorifrondeni) autpaftoribus umbras &ufficiunt,feptemquejatis, tt fabula melli. Neither of thefe fhrubs feem to anfwer theie feveral intentions. Adieu. 247 LETTER XXVII. APRIL* PREVIOUS to the confideration of any new plants which we may meet with in this day's ftroll, let us recollect the ClafTes and Orders with which you became ac- quainted in our laft excurfion. Thefe were Bellis perennis, of the Clafs Syngenefa and Order Poly garni a fuperflua. Ranunculus ficaria, and Caltha palujlrh both of the Clafs Polyandria and Order Poly- gynia. Viola odorata, of the Clafs Syngenefia and Or- der Monogamia. Narci/us pfeudo Narcijfits, of the Clafs Hex- andria and Order Monogynia. Prunus fpinofa, of the Clafs Icofandria and Order Monogynia. Populus nigra, of the Clafs Dioecia and Or- der Ottandria, Thefe feven plants being your firfl bota- nical acquaintance, I hope you will acknow- ledge them whenever you meet them in fu- ture, ( 248 ) ture, and that you will recolle6l to what Regiment and Company they belc*ng. Prl- The pale yellow flowers that fo beau- mula. t if u iiy ac jorn t hat bank, are alfo old acquaintance. You have known them, from a child, to be called Primrofes; but their vernacular appellation is all you know of them. Let us firft try to difcover their Clafs. Having ftripped off the calyx and divided the corolla, you fee, at the bottom of the tube, 5 very fhort Jlamina: therefore it is of the Clafs Pentandria, and the fingle fiftillum in the centre, leaves no doubt as to the order. The corolla^ you fee, is regular, monopetalous, and fixed be- low thegermen. The feeds are inclofed in a capfula. Thefe circumftances fix it in the fecond diyifion of this Order. The genus is determined by the involu- crum at the bafe of the umbel^ the cy- lindrical fbape qf the tube of the corolla, and its open mouth; the fpecies> by its hairy wrinkled, dentaled leaves, and each flalk bearing but one flower. The down on the calyx and ftalk, is longer and thicker than in the Cowflip. You ( 249 ) You will find a confiderable difference in the opinions of botanical writers concerning this genus. In the Flora Anglica, and in my Synopjis, there are three Species, viz. Primula vulgaris, Primrofe; P. veris y Cowflip; and P.farinofa y Bird's-eye. To thefe our friend Relhan adds P. inodora, Oxlip, which I have made a variety of P. veris. Now Linnaeus confiders the Primrofe, the Cowflip and the Oxlip, as varieties of the fame fpecies. Thefe are difagreements that frequently occur among botanical writers, owing to the dif- ficulty of drawing a diftin6l line between Species and Variety. Thefe feveral plants, however, whether you call them Species or Varieties, are fo evidently different in ap- pearance, that you can never miftake one for the other. This Clafs Pentandria, the 5th in the Lin- nsean Syftem, contains the moft plants, ex- cept the Clafs Cryptogamia. It comprehends 6 Orders, diftinguifhed by the number of the pijlilla. In the Order in which you found the Primrofe, the plants are arranged according to the number and fituation of the petala> an*I feeds. That ( 250 ) jfffi- That trailing plant with fmall white ft flowers, you tell me, without hefitation, is common Chick weed. You are pro- bably right, becaufe there is no other plant, to which it bears any refem- blance, yet in bloom ; but, next month you will find other plants, which are alfo commonly called Chickweed : they bear a flrong family likenefs to this plant, but are of a different clafs. The jlamina, you find, are 5, and the piftilla 3. The Clafs and Order therefore are determined. Turning to your Synopfa, you find in this Order, Frigynta, only .. ; .: four genera, three of which are trees, and the fourth Alcine media, the plant in your hand. In the Clafs Decandria, there are three ge- nera, viz. Sikne, Stellar? a and Cerajlium, from ieveral fpecies of which the Alcine media is not eafily diftinguifhed. Curtis fays, it may be known from every other plant, by its petals being fhorter than the calyx, and its ftem alternately hairy on one fide. Its flow- ers have been obferved to open about 9 in the morning and to clofe at noon. This plant, with blue flowers, which Gle- I gathered under the hedge, you may C9m * pofllbly know by the fmell. However, let us examine it fcientifically : the fmell may deceive you. If you open the flower, you will difcover 4 flamina, two of which are fhorter than the other two: therefore the clafs is Didynamia, in which there are but two Orders, viz. Gymnofpermia, feeds naked, and Angiof- permia, feeds inclofed in a vefTel. Here the feeds are naked, it is therefore of the firft of thefe Orders. If now you obferve the antherte, you will fee that each pair forms a crofs, which is the generic character of the plant G/ecoma-, and as there is but one Species of this genus, it can be no other than the Gk- coma hederacea, or Ground-ivy. The corolla of the Glecoma, you obferve, is of a particular and irregular fhape: its upper lip ftands erect and is divided half- way down; the under, fpreads and is cut into three fegments, forming a kind of gap- ing or grinning mouth. Moft of the flow- ers of this Clafs have the fame appearance and are therefore eafily known. It compre- hends hends theLabiatt, lipped; Verticlllati> whirl- ed ; Perfonata, mafked ; and Ringentes, grin- ning flowers of former botanifts. The Balm, the Mint, the Lavender in our gardens; the nettles under the hedges, and that Lamium y which you may fafely pull notwithstanding its refemblance to a nettle, are of this Clafs and Order. Lami- Of thefe Lamiums you will find three um> Species, viz. L. album, L. purpurium^ and L. amplexicaule. The two firft are named from the colour of their flow- ers : confequently, that in your hand is the white Dead-nettle; which, befides the colour of its flowers, is diftinguifh- ed by its leaves being more acute. In the ampkxicaule, the upper leaves em- brace the ftem, are almoft circular and deeply notched. You will know thefe Lamiums from other plants of the fame Clafs and Order, by the upper lip of the flower being entire, the lower hav- ing two lobes, and a tooth on each fide the mouth. You will find excellent plates of thefe three Lamiums in the Flora LondinenflSi NOW ( 253 ) Now pull me a good fpecimen of Cham- that umbelliferous plant with white PW um ' flowers, that feems to thrive fo well under thefe elms. I have no diffi- culty in telling you its name, without examination, becaufe I know there is no other plant of that kind yet in flower. It is the Cbterophyllum fyl- veftre, Cow-parfley or wild Cicely, of the Clafs Pentandria and Order Z)/- gynia, which Order comprehends, though not exclufively, the Umbetti- Jer& of Ray and Tournefort. You perceive what is meant by Umbelli- fera. The flowers, you obferve, grow at the end of fpokes, or radii, pro- ceeding from a common centre, each of which centres refts on the extre- mity of another fpoke, alfo proceed- ing from a general centre; fo that it forms a large or general umbel, or umbrella, with a fmall one at the extremity of each radius or rib. The fmall leaves furrounding the root of -^ the umbel, are called the involucrum: in the prefent inflance, it belongs to the fmall or partial umbel only, the general umbel having none. The pre- ( 254 ) prefence or abfence of this involu-* entm, in plants of this Order, is fre- quently a very ufeful diftinftion; in- deed every the moft minute circum- ftance is necefiary in order to difcri- minate thefe umbelliferous plants, which are a numerous tribe and many of them very like each other. The generic character is : Involucrum re- flexed, concave; petala inflexo-cordate; fruit oblong, fmooth. Specific character: Stem, in the thick part, groved and hairy, a little fwoln and purplifh near the joints j Leaves proceeding from a fhort fheath. The common height of this plant is about two feet; but there is one now in the walks of Queen's College, that meafures upwards of 4 feet, and is more than half an inch in diameter at the bottom. Three days ago, I met with a fpetimen at the back gate of St. John's, ,ttra entire ftem of which was a deep purple. The number of radii are ge- nerally 7 or 8.: in that which is now grow- ing in Queen's walks, one of the general umbels -has eleven. You will find a good- engraving of the Charophyllum fyfaeftre in Curtis. There is another Ipecies common in this *! king- kingdom, to which Linnaeus has given the fpecific name of temulum^ for no very obvi- ous reafon. I do not even know the word, Pliny, I remember, ufes temulentia for drunk- ennefs. But we have no bufinefs with this fpecies at prefent, as it will not flower till July. Look at your watch. Not quite noon. Then we have time fufftcient to mount the Hills, where we (hall find an elegant little plant now in bloom, of which my friend Relhan has given an engraving rather too much expanded, but an accurate defcrip- tion. There it is, in great abundance. You Ane- have no difficulty in pronouncing it to ntttte ' be of the Clafs Polyandria and Order Polygynia. You fee it has no calyx, and the petals are 6: therefore it mud be a fpecies of Anemone, of which genus there are,,in this kingdom, but four fpecies, and in Cambridgeshire only two, viz. A. pulfatilla and A. nemorcfa. The firft of thefe is particularly diftinguifhed by its jagged involucrum, its flalk being 8 or 10 inches high, its purple flower, and foliis bipinnatis. The flowers in * your ( 256 ) your hand, you fee, correfponds exactly with this defcription; you have there- fore no doubt that it is the Anemone pulfatilla, or Pafque-flower. Let us now defcend into the vale. Thofe trees, in that hedge, Which Vir- gil diftinguifhes for their luxuriant pro- duce of leaves, - ' fecunda frondibus Ulmi, are now in bloom. If you examine the flower, you will find $Jtamina and 2 piftilla: 'they are therefore of the Clafs and Order, Pentandria Digynia. You know the genus by the calyx being fliaped like a top, wrinkled, with 5 feg- ments and the jlamina being double its length. The fpecies is determined by its leaves being doubly ferrated : be- fides, it is the only Elm in this coun- try, Linnaeus calls it Ulmus campeftris. Vale. LET- LETTER XXVIII. MAY. While the rofy-footed May Steals blujhing on, together let us tread *The morning dews, and gather in their prime Frejh-blooming flowers. TH E firft, among the objefts of Cra- our purfuit, that catches your te * w * eye, is that beautifully whitening hedge. *The Hawthorn whitens, and the juicy groves Put forth their buds, unfolding by degrees, T/7/ the whole leafy foreft Jlands difplay'd. The fight of the Hawthorn brought thefe lines to my memory. I do not repeat them for their beauty : Juicy is a vile epithet ap- plied to groves, and the lines are very profaic. Examine one of the flowers, and you will find in it about 20 ftamina, which, with the petals, are fixed, not to a receptaculum, but to the infide of the calyx: you know it therefore to be of the Clafs Icofandria, and the two ftyles tell you the Order. But thefe R two two ftyles, you obferve, are, in fact, the di- vifions of one ptftillum. From this circum- ftance, Dr. Stokes, in Withering's Botanical Arrangement^ aflerts, that this our common Hawthorn is the Cratsegus monogyna, and not the oxyacantba of Linnasus, as Hudfon, Rel- han, Lightfoot and I have made it. Dr. Withering is of Stokes's opinion, and ac- cordingly fubftitutes the monogyna for the oxyacantha. But the fpecific character of the firft is, foliis fubtrifidis acutis; that of the Iatter,y0//Y.f obtufafubtrifidisferratis : now the leaves of our Hawthorn are certainly obtufe and ferrated. As to the piftillum, it is fome- times entire, but more frequently divided into two flyles, and fometimes thefe ftyles are diftin6l down to the bottom. Lyons, in the MS. quoted by Relhan, fays, that the ftyle is firft fimple and afterwards divided. I doubt this facl, becaufe I have repeatedly found the ftyle divided before the expanfion of the corolla. There are in the laft edition of the Syf- tema Vegetabilum, 15 fpecies of the Crataegus, only three of which are found in this coun- try, viz. C. aria, Whitebeam tree; C.tormi- tS) Service tree; and C, oxyacantha^ Haw- thorn, ( 259 ) thorn. This is not the firft fhrub, or tree (for when it (lands fmgle it generally de- ferves the latter appellation) that we have examined belonging to this Clafs Icofandria. In March, you remember, we met with the Prunus Jpinofa in bloflbm -, but it is of the Order Monogynia. Let us now examine that yellow '*- flower which grows fo profufely among ?" the green corn. The petals of the flower being four, equal, and in the form of a crofs, tell us, at once, that it is of that natural clafs called by Ray, Siliquofei by Tournefort, Cruciform! , and by Linnaeus, ^etradynamla^ from from Tecr black Muftard, S. alba> white Muftard, and 5. arvenfis, wild Muftard or Charlock. Now the firft my friend Relhari has thus characterized , caults *ualde rimofis, r ami's dijlaniibm expanfis; which defcription does not apply tc the plant in your hand: in the fecond, the leaves are deeply cut and jagged, and the ftem finely grovedj befides, neither of thefe bloom in this month; it muft therefore be the Sinapis arvenjis. There is another pernicious corn- weed which you will find in flower in July, that much refembles this Charlock: it is the Raphanus raphanijlrum; but it is not fo tall a plant, is of a lighter green, the branches are longer in proportion, and the leaves are pinnatifid. The flowers of this isdild Radifi are ( 26! ) arefometimes white and fometimes of a pale flefhcolour, but generally yellow with dark veins. Here is another weed, with white Lythof- flowers, which, on thefe lands, feems P ermum * more inimical to the farmer than the Charlock or any other. You will find it of the Clafs Pentandria and Order Monogynia. The flower, you pbferve, is monopetal- ous, regular, and fixed below the germin; the feeds are naked, and the leaves are rough: therefore we fhall find it in the firft divifion of the firft Order of this Clafs. The corolla, you fee, is fhaped like a funnel, with five flight fegments obtufe and eredl. The tube is cylindrical and open. The calyx has 5 divifions. Now thefe circumftances unite only in the genus LitLofpermum, of which Linnaeus has 8 fpecies: three of thefe are natives of Britain, but only two have been found in Cambridgefhire, viz. L. ojficinale, and L. aruenfe. The ftem of the firft grows to the height of about 2 feet. The plant in your hand is not above half that height. In the firft the leaves are veined; in this they are not: but the rednefs of the root * 3 When daizies pied and violets blue, And Lady-fmocks all filver white, And Cuckow buds of yellow hue Do paint the meadows with delight. You will find thefe lines quoted by Curtis in the Flora Londinenfis, and a very neat plate of the flower; but he makes no com- ment on the lines, which feem to want fome explanation. I have never yet met with any fkoer-yolnte Lady-fmocks: they have always a confiderable tinge of red or purple. As to the Cuckow-buds of yellow hue, it is difficult to afcertain the flower meant by the poet. It evidently was not the Lycb- nis-fofcuctdi, which we call Cuckpw-flower; for that is red, as you will fee: we (hall pro- bably meet with it in the next meadow. I fancy thefe Cuckoo-buds of yellow hue, were the common Butter-cups that fo de- lightfully paint this luxuriant meadow. There is indeed no other flower that may with eqaul propriety t>e faid to paint the meadows yellow : befides, the flower of this R 4 Ra- Ranunculus, before it expands, has the ap- pearance of a bud. Are they not called Cuckow-buds in Staffordfhire? But to return to our Cardamine pratenfo. It is the only fpccies of this genus found near Cambridge. It is diftinguifhed by its leaves being pinnated, and thzfotioli of the radical leaves being roundifh, whilft thofe on the ftem are lance- fhaped. The generic character is Pod burfting, the valves then rolling back: Stigma entire ; calyx a little open. There are in all 15 fpecies of Cardamine, fix of which are indigenous in Britain. Vicla. That plant with papilionaceous pur- ple flowers, climbing up the hedge, is obvioufly of the Clafs Diadelphia, and the number of \\sftamina will tell you, that it is of the Order Decandria. Now take off the corolla, and you will dif- cover that the fummit of the piftillum, called thejtigma, is tranfveriely beard- ed. This minute peculiarity determines its generic name to be Vicia; and, that it is the fpecies fativa, I conclude from its flowers growing in pairs, its leaves confiding of about fix pair of wings and and terminating in a divided tendril; but the burnt fpot under the jllpulcc leaves no doubt that it is the common Vetch or Tare, which, you remember, Virgil mentions among the pulfe which are fuppofed fo to fertilize the ground as to render fallowing unnecefTary. Aut ubiflava feres, mutatojidere, farra+ Uncle prius Icetumjiliqua quajjente legumen^ Aut tenuesfatus Vicir- will remind you of a line in the fecond **' Georgic. At myrtus validis haftibus, et bona bello Cornus. Examine the flower. *etrandria Monogy- nia. The coralla, you obferve, (lands above the germen, and confifts of four regular pe- tals. Now turn over your Synop/ls. You find it muft be in the fourth divifion. The firft plant is the Cornus, with an involucrum of 4 leaves, and a perianthium of one, with 4 teeth. The corolla is lefs than the jnvo- lucrum^ and (horter than t\\zftamina. Thefe efTentials quadrate with that flower: there- fore you can have no doubt as to the genus; and as you learn, from your Flora Cantabri- gienfis, that there is but one Species in this county, your (hrub muft necefTarily be the Cornus fengtttftftr, or Dogberry ; a flirub which merits fome veneration, were it only for being Godfather to an admirable character in Much-ado about nothing. Honeft Ta- well! / neer foall look upon thy like again! Gar- Garrick in Benedick was not a jot fuperior to Tafwell in Dogberry. With what ge- nuine appearance of ftupid fimplicity he exclaimed that he were here to write me down an afil But to return to our Cornus. It is cer- tain, that the Romans made their fpears of Myrtle and Cornel, though, from a paffage quoted by Martyn in his Commentary on the Georgics, it appears that Pliny preferred the Afh. Conl- That tall umbelliferous plant, with * m * dark-green gloffy fubdi vided leaves, and white flowers, claims your particular attention. It is the famous Hemlock, which on the credit of Profeflbr Storck of Vienna, was fuppofed an infallible cure for cancers. The number of Jlamina and pijlilla declare it to be of the Clafs and Order Pentandria, Digy- xia. Its former generic name was C/- cuta> but Linnasus chufes to call it Co- nium^ and maculatum, from the fpots on the ftem. Why this Cicuta of all other botanifts, muft have its ancient name taken from it and transferred to a dif- ferent plant, I do not comprehend: nor hor do I know where he got the word 'Comum-, unlefs from Pliny, who, I think, mentions it as the name of a town in Phrygia. This our tlemlock was certainly the Cicuta of which the pipe prefented by Menalcas to the (hepherd Mopfis, was made. Heae te nosfragili donalimus ante cicuta. I myfelf, when a boy, have often made pipes of it : they had but few notes indeed, but the tone was not unlike that of the tlariohet. This Conium macalatum is diftinguifhed from other plants of the fame Clafs and Order, by the iiwolucella extending only half round the fpoke on which it ftands, and confiding general!^ of three leaves, or ra- ther of 3 divifions of one leaf 5 and by the fliape of the feed, which is nearly fpherical, with 5 ftrise, and notched at each end. There are fouxjpectes of this genus, but the macula- turn only is indigenous in Britain. You may eafily know it by the brown fpots on the flem, and the gloffy dark-green leaves. You fee it is a tall plant: this fpecimen meafures, at lead, 5 feet. S There ( 274 ) Sam* There is a large plant with a bufhy bucu *' purplifh flower, under that hedge* It bears fome refemblance, both in leaf and bloflbm, to the common Elder- tree. It is indeed very nearly allied to it. We eall it in Englifh, Dwarf Elder, or Danewort, becaufe, we are told, that it firft fprang up in this kingdom from the blood of the Danes that were mafTacred here. It is the Sambucus ebu~ lus, with the purple juice of whofe berries, Pan, in Virgil's tenth Eclogue, is fuppofed to have fmeared his face. Pan deus Aracadite vem't t quern vidimus ipfi t Sanguineis Rbuli baccis minloque rebentem, If you examine the flowers, you will find it to be of the Clafs and Order Pentandria Trigynia, and of that divifion in which the corolla jftands above the germen. Its gene- ric character is Calyx and Corolla of 5 fegments; berry containing three feeds. As to the fpecies, there can be no difficulty, be- caufe there are but two, and one of thefe is a tree. You will find a good engraving of this plant in the Flora Londinenfis. Now ( 275 ) Now turn your attention to thofe Medicd- yellow flowers, like fmall buttons, ^* that grow fo plentifully among the grafs. It fomewhat refembles the flower of the Hop, but is much lefs. You would fuppofe it a Trefoil: it is indeed naturally of that family : it is a Medicago, which differs from the genus Trifolium in the carina of the corolla being jprefTed down from the vexillum, and particularly in its pod being comprefTed and fpiral. The fhape of the florets that compofe thefe yellow heads, and the number of very minute Jlamina will inform you that it is of the Clafs and Order Diadelphia Decandria, and the fpe- cies, Ivpulina, is determined by the fpikes being oval, the pods reniform, containing a (ingle feed, and the ftems trailing. Former botanifts called this plant Medica: Linnaeus chofe to call it Medicago. Whether Virgil meant this fpecies may be doubtful : however the Medica is among the plants which he advifes to be fown in the Spring. s 2 Vere yerefavisfatio-, turn te quoque Medlca pufres Accipmntfulci. Pliny fays it was called Medica, from Me- dia the country whence it was brought into Greece : - Medica externa, etiam Gractte, ztf a Medis adveta per btlla Perfarum, gute Da- rius mtullt If you be curious to know more of this plant, I refer you to Martyn's Georgics. He thinks Virgil meant our Lucerne Hyofcya- You obferve, among that rubbifh, muSt a large plant, with dark buff-co- loured flowers of a fingular appear- ance. You find it has five Jtamina and one ptftillum: you have there- fore no doubt as to the Clafs and Order. The corolla, is funnel-ftiaped and obtufej-theyta^ are inclined, and the capfula is bilocular and co- vered. It is therefore an Hyofcyamus*, and though there be feven fpecies of this genus, yet as the nlger is the only fpecies in this kingdom, it can be no other than our common Hen* bane. It is very eafily known by the mixture of deep purple and buff in the- < 277 ) the flower. The Henbane is gene- rally confidered as a poifonous plant. It was ibme time ago recommended as a fubflitute for opium. That humble yellow flower, which Paten- adorns the fides of this path, I fup- iiUa ~ pofe, you confider, as a common but- ter-cup, beneath your notice. But you will find, on examination, that it belongs to a very different Clafs: and furely its beautiful filver-fea- thered leaves merit fome attention. The jlamina you find are about twenty. Hence you might doubt whether it does not belong to the Clafs Polyandries, but if you examine the five petals, you will find that they are fixed, not to a receptaculum, but to the calyx, which is monopetaious; ib that it is of the Clafs Icofandria. Now you obferve in the centre of the flower, a numerous collection of fmall buds, forming a knob, with flyles: therefore it is of the Order Polygynia. The leaves, you fee, are pinnated, and ferrated; the item creeps, and the ftalk bears a fingle s 3 flower. flower. To this we may add, from Relhan, that there are from ten to twelve pair of wings in each leaf, decreafing in fize towards each ex- tremity. Thefe circumftances, with the filver whitenefs of the under fide of the leaves, leave no doubt that it is the Potentilla anferina, or Silver Weed, called alfo wi!4 Tanfey. Scan- You obferye, among the corn, a weed dlx - with a fmall white flower, and feveral long beaks, which you rrmft fuppofe contain the feeds of the plant. By thefe long beaks you will eafily diflin- guifh it in future. Its generic name is Scandix, and from the fuppofed fi- mUitude to the teeth of a comb, the fpecific appellation is peften. Our bo- tanical predeceflbrs have called it Shep- herd's-needle, or Venus-comb. If you examine the flower, you will find it of the Clafs Pentandria and Order Dygy- nia. Thefe teefh of the comb are ge- nerally about an inch in length. Pro- bably the combs of the ancients were of a rude conftruftion. Yale, LET- ( 279 LETTER XXX. JUNE. LET us take this left hand road "to I/- the Hills: we fhall probably meet num * with fome new objects. That upright (lender plant, with a fingle fimple ftem, thick fet with very fmall pointed leaves, and terminated by a tuft of beautiful blue flowers, is the Linum perenne, or perenniel blue Flax. The five petals will fall offalmoft as foon as you touch them. You will then difcover fivey&z- mina and the fame number of ptftilla. Pentandria Pentagynia^ therefore, is the Clafs and Order. That it is a Li- nunty I know, from its pentaphyllous calyx, its pentapetalous corolla, its quin- que valve capfule, and its folitary feeds; and, that it is theperenne, I learn, from the fegments of the calyx being obtufe, the leaves on. the flem numerous, fmall, alternate, and by the flowers growing in a tuft. We have, in Britain, five fpecies of /- fiutns, as you will find in your Synopfa. No. i . 54 up- ^ grows to the heighth of three feetj its ftem is branched, and each brandy terminated by a blue flower. ISfo. 2. is the plant in your hand. No. 3. tenyefolium, is diflinguifhed by its ligneous, numerous flems, and a fmaller flower. No. 4. cathar- ticum, is a fmaller plant, with four or five bent ftems, with leaves diftant and oppofite., Its flowers are white and minute. No. 5. radiola has foutjlamina and the fame num- ber of pijtilla, and therefore belongs to an- other Clafs. The ancients were univerfally of opinion that a crop of Flax impoverifh.es the ground. I am fure you recoiled thjs line in the firft book of the Georgics. Urif enim Lint campumfigsi^ urit avence* Hedy- You obferve there a flower of a farum. f u jj fl e ( n-co j our> growing on a long {talk. You perceive it is formed by a number of florets imbricated fo as, in fome degree, to refemble the heacj of a cock. Our botanical predecef- fors have therefore called it Cock's- head. It is the Hedyfarum onobrycbiz. From the external appearance of the blofTom, biofTom, you pronounce it to be of the Clafs Diadelphia\ and, if you ex- amine the ftamina, you will place it in the Order Decandria. But, on a more minute inveftigation, you will be furprifed to find only two petals in the flower, viz. the vixillum and the earina, and that there is no ap- pearance of wings. Neverthelefs, if you apply your giafs, you will dif- tover two minute, pale flefh-colour- ed ate, which, in compliance with this artificial fyftem, may be tranf- lated wings. This genus of Hedyfarum depends on the carina being tranfverfe and obtufe, and on there being a fingle feed in each joint of the pod. There are in .all no lefs than 67 fpe~ cies of this genus, only one of which is found on this ifland. It is particularly diftin- guifhed from the reft, among thofe with pinnated leaves, by its elongated ffem ; but this flem is rather a long fiapus or ftalk, proceeding from a fhort caulis, or flem. For a definition of thefe terras I refer you to your Claris. There ( 282 ) Poly- There is a humble plant, growing gala ' in patches, with a blue flower, that merits your attention; becaufe it is the only genus indigenous in this kingdom, of the Order Qttandria in the Clafs Dia- 4elphia. It is the Polygala vulgarity or Milkwort, It grows, you fee, fome- what in the manner of that Thyme, its frequent companion on thefe hills; from which however it differs efien- tially, as you will find when we have examined them both. Having now, by infpe&ing the (lamina, determined the Clafs and Order, and know- ing that in thefe there is but one fpeeies of one genus, difcovered in this kingdom, you know the plant without either generic or fpecific defcription. For greater cer- tainty, however, you may obferve, that the calyx is pentaphyllous, and that two of its leaves look like coloured wings. The ftem, you fee, is proftrate, branched, curved and from 4 to 6 inches in length. 'Thy- It is now time (without a pun) to mus ' take notice of its neighbour, the Ser- fyllum of all the Botanifts before Haller, who, who, I believe, firft called it 'Tbymus. Thzjlamina, you obferve, are four, two long and two fhortj therefore it is of the Clafs Didynamia, and the feeds be- ing naked tells the Order to be Gym- nofpermia. The generic character is a very fhort one Calych bllablati faux wills claufa y and it is fufficiently diftin- guifhed from the only other fpecies, in thjs kingdom, by its flowers being col- lected in a head; thofe of the actws, or Bafil Thyme, are verticillate. This Thyme, you know, both Greek and Latin poets fuppofed the favorite food of bees. Virgil therefore mentions it as a pro- per herb to be planted near the hives. Hac circum Capa verities, et olentla late Syrpylla. This Syrpyllum of the Romans was the fywTAov of the Greeks, derived from E^, to creep. Thefe Romans, as Martyn ob- ferves, frequently changed the Greek afpi- ration into S, from I^TTU forming Jerpo, from l| fex, &c. But Virgil, both in his Eclogues 2nd Georgics, mentions alfo Thymus, which JLinnjsus adopts as the name of the genus. Dum Dumjuga month aper t fluvios dumpifcis atnabif, J^umque^fhymo pafcentur apes, dum rore cicada^ Semper honos, nomenque tuum, laudefquemanebunt. Thefe beautiful lines, you remember, are at the conclufion of the very fublime apo- theofis of Daphnis, fuppofed to be Julius Csefar, fung by Menalcas in the fifth Eclogue : and, in the fourth Georgia, Tpfe 'fhymum pinofque ferens de montibus altis TeSfaferat late rircutp, cut tali a cur a. This cfbymum of Virgil is fuppofed to be, not our common Thyme, cultivated in our , gardens as a pot-herb, but that fpecies which Ray calls tfhymum kgitimum\ that fpecies to the abundance of which Sicily owed its cele- brity for its honey, and which is found by travellers in every part of Greece Bothnia puftorcy fays Ray, ita frequent in tota Grecia reperitur y ut nulla herba in montibus facilius prevent at, That diffufe plant with fmall whitifh Jtum. fl owers on loofe leafy panicles, is the ^be/ium Unophyllum, of which, as a rare plant, Relhan has given a plate. Its Englifh name is baftard Toadflax. YOU will will find, it has no corolla; the flower* confiding of a calyx only, into which the fazftamina are inferted. Not far from us, I perceive another fcarce plant, of which my friend Relhan has given a plate and an accurate defcription, in his excellent Flora Gantabrigienfis* 1 mean that diminutive chap, about five inches high, with a yellow ftar-flower. It is the Cineraria al- pina, or Mountain Ragwort. There are fome doubts about the proper genus of this herb; but Linmeus has declared that it is a Proteus of a plant. It is of the Clafs and Order, Syngenefia Polygamla fuperflua. The . flowers, you obferve, grow in a loofe irre- gular kind of umbel, and the leaves on the ftem are lance-foaped, woolly, and very ereft. It is now time to defcend the Hills, jamfumma procul villarum culmlnafumanty Majorefque cadunt alth de montibus umbra* Our rout lies through Cherry Hinton, a village celebrated in the annals of Botany, by having been the fcene of our indefatiga- ble Ray's frequent herbarizationsj particu- larly in a field called the Chalk-fit cbfe> where Rel- ( 286 ) Relhan firft fhewed me the Athamanta liba* notis-, a fcarce plant, which, fmce the time of Ray, had been entirely loft. We fhall vifit this field another time. You are delighted with the fragrant efflu- via of this narrow lane. It is the fragrance of rofes. That fhrub, with white flowers, is the Viburnum opulus, or Guelder Rofe; and the other is the Rofa canina, or Dog Rofe, If you examine the cymte of the firft, you will find that the fmail flowers in the centre have fivejtamina and three minute ftigmata, and that the large flowers in the radius have neither. , The Rofa canlna is of the Clafs Icofandria Polygynia. You will find, in your Synopfis, that it is of the firft genus in that Order, and that there are five fpecies in this ifland. Lotus. There is a yellow flower that we have frequently feen in our walks, but of which we have hitherto taken no notice. By the leaves you would fup- pofe it a Trefoil. Indeed its Englifti name is Birdsfoot Trefoil. Linnaeus calls it Lotus corniculatus. You will de- termine the genus by its turbular calyx, the wings of the corolla conniving lon- gitudinally gitudinally upwards, and, hereafter, by the pod being cylindrical, flifF, and longer than the calyx. We have but one fpecies of this genus, which is characterized by the flatnefs of the heads, and the ftem being decumbeat. You will find a good plate of this plant in Curtis. Thofe fine fcarlet, and thofe tall blue flowers, equal in colour to the beft ultramarine, and which add fo much to the beauty of this field of green corn, are too confpicuous to pafs unnoticed. The fcarlet flower, you tell me, is a Poppy. It is fo ; but I wifh to know fomething more about it. Thejtamina, you perceive, are numerous, and there is, in the centre, a germen covered by *.jligma % but no JiylM. Hence I know the Clafs and Order to be Polyandria Monogynia. The generic character is calyx diphyllus; corolla tetrape- tala; capfula unilocularis, fub ftig- mate perfiftente poris dehifcens. The plant you have gathered is the Papa- ver rbaas-, it is particularly diftin- guifhed fuifhed from the other three red oppies, which alfo grow in corn- fields and bloom at the fame time, by its round fmooth head, hairy ftem and pinnatifid leaves. We have in this kingdom fix fpecies of Papaver, one of which has white and an* other yellow flowers. I doubt whether any of thofe be the fort that was fown for fome purpofe or other, by the ancients, and which* Virgil fays, burns the land, TJrunt letbao ferftifa papaverafomno. Centau- That tali plant with the beautiful rea * blue flower, you wilt find, is of thd Clafs and Order Polygamia Fruftraniai Thtfofcult that form the radius, you perceive, have no fligma y and for that rcafon can produce no feed j they are therefore of no ufe in the pro- pagation of the plant: that opera- tion is performed by the florets of the difk, which are hermaphrodite. * Having thus afcertained the Clafs and Order, confult your Synopfts, and you will have no doubt of the genus, Gentaurea being the only genus indi- genous genous in Britain. As to thefpectes, it is evidently the cyanus, or blue- bottle, becaufe there is no other with a blue flower. There is, on the verge of thofe lands, EM- another ftately plant with blue flow- vm * ers, of which probably you have never heard the name. It is a handfome flower to look at, but not very pleafant to touch ; its item being thick fet with white bridles, each of which, you will perceive, grows on the centre of a brown tubercle. Its five red ftamina and forked piftillum, are eafily feen, as they project much beyond the rim of the corolla. Its common height is about two feet. The flowers, you fee, crowd all to one fide of the fpike, which is generally from fix to nine inches in length. The leaves on the ftem are feflile, hairy and fpear-fhaped. Thefe together are fufficient marks of diftinc- tion. It is the Echiurq vu/gare, or Vi- per's Buglos. But I mud apprife you that the flowers on the fpike being la- teral, that is, growing all on one fide, T is is fo far from being general, that they more commonly form a regular pyra- mid. In that hedge you obferve a fhrub tram. ^^ a ^ite flower, which I dare fay you know to be the Privet, hav- ing often feen it form a regular hedge in gardens ; to which purpofe it is indeed well adapted. You will find it in the Synopjis> the firft genus in the Clafs and Order, Diandria, Mo- nogynia: accordingly, you fee, in the flower \wojtamina and one ptflillum. The generic name is Liguftrum and the fpecific vu/gare. The word Z,/- gujlrum reminds you of thefe lines in Virgil, O formofe puer^ mmlum ne crede colori: Alba Ligujlra cadunt, vaccinia nigra leguntur. It is however by no means certain, that thefe alba liguftra of Virgil were what we call Privet: on the contrary, many com- mentators are of opinion, that our Convol- vulusfepium, Great Bindweed, is the plant j and they incline to this opinion from the extreme extreme whitenefs of the flower and the fuppofed derivation of Liguftrum from //- \ gando. Pliny pofitively fays it is a tree: but Pliny was a mere tranfcriber, and, I am, dear Charles, Your, &c. LET- LETTER XXXI. JULY. " What calm joy can this exceed, This of roving o'er the mead ? Where the hand of Flora pours Sweeteft voluntary flow'rs: Where the Zephyr's balmy gale Wantons in the charming vale." *"T^HAT plant, with thefe beautiful mca. J[ c hina-blue flowers, which grows fo luxuriantly in the brook, is the Ve- ronica beccabunga, commonly called Brooklime. It is of the Clafs Diandria and Order Monogynia. The flowers, you fee, are inferi, monopetali, et irre- gulares. Both calyx and corolla are qua- dripartite, and, of the latter, the loweft fegment is the narrowed: thefe parti- culars determine the genus. Thejfie- ctes is known by its loofe lateral fpikes of blue flowers, its creeping flem, and by its leaves being thick, feifile, oval, oppofite and notched. That That very common plant with large Mal- flowers, that grows fo plentifully on va * each fide of this road, you know, I make no doubt, is a fpecies of Mallow. It merits your attention as an example of the Clafs and Order Monadelphia Poly- andria> in which the clafllcal character may be diftinclly obferved without the help of your glafs. You fee there are manyy&zw/W united below in one body or brotherhood. The corolla confifts of five petals. The calyx is double, with but three leaves in the exterior range, by which laft circumftance it is diftinguimed from the genus Althea. We have in this kingdom four fpecies of Malva, viz. rotundifolia^ parvifora, mofchata and Jy foe/Iris, which laft is the plant you have pulled, and which is diftinguifhed from the other three, by its leaves being waved, in 5 or 7 lobes, obtufe, ferrated and their foot-ftalks hairy. Here is a plant about two feet in Sal- height, with a fmall blue flower, from vta * the gaping appearance of which, you fuppofe it to be of the Clafs Didynamia-, T 3 but its unfortunate want of two more ftamina, feparates it from its family. If you examine the flower, you will find it contains one piftillum and two very diftincl: jiamina with large anther^ which you perceive have burft longi- tudinally on the under fide, and are now in the a6l of difcharging, in great profufion, a fine yellow pollen^ on the iummit of the piftillum ; but, being na- turally taller than \.}\eftamina> it bends its neck down between the ftamina, for the purpofe of receiving this yellow duft. Yet Linnaeus, as a generic cha- racter fays* Filament a tranfverfe pedi- cello affixa-, and Dr. Withering tells us, that the rudiments of two chives ap- pear in the mouth of the bloffom, but they have no tips. In this fpecies, how- ever, nothing can be more confpicuous than the ftamina and ttfs, as he chufes to call them; and, as to the filaments fixed tranfverfely to a pedicle, there i$ not the leaft appearance of it. In this JpecieS) you obferve, the flowers grow in whirls, fix in each; the leaves are wrinkled, fcallopped and ferrated, on the upper part of the item fefllle, on the 295 the lower on pedicles. The item is quadrangular and brachiatus. Relhan lays it fmells like black currants: to me, it has rather a mixt pot-herb fmell. It is the Sahia verbenacd^ Wild Sage, or Clary. There is another fpecies, viz. S. pratenjisy found in other counties, which is rather a fcarce plant. This Sahia verbenaca you will find, in great plenty, in the field path oppofite the horfe-bridge of Trinity College. In that ditch I fee an umbelliferous ty- plant, which, if you can get at it with- um ' out a plunge, you will find to be of the Clafs and Order Pentandria Digy- m'a.'It is the Aphim graveolem, the ef- fential character of which genus is, Seeds oval and flriated; tnvolucrum of one leaf: petals equal. But feeds yet there are none, and as to the irruolucrum ac- cording to its arrangement in the Syf- tema VegetaUlium* it ought to have none. You may, however, diftinguifli it by the general umbel confifting of few radii and the partial of many. Lin~ naeus determines the Jpecies by the leaves on them being wedge-fhaped. T4 ( 296 ) We call it, in its wild (late, Smallage; in our gardens Cellery. It is probably the eXsioreXivov of the Greeks; for their c-eXivov the Latin writers always tran- flate apium. From the fituation in which you have found it, we may, I think, rationally fuppofe it to be Vir- gil's Apium. Quoque modo potts gauderent intuba rivis, Et virides aplo ripe? There grows the very Infubum juft mentioned. I mean that plant with large blue flowers, like wheels, grow- ing, without foot-ftalks, on the fide of a zig-zag ftem, which is firm and about two feet high. If you exa- mine the calyx you will find it dou- ble; the interior formed of 8 fcales, the exterior of 5, which are fringed. The petals are in number from 16 to 20, with 5 notches at the extre- mity of each. Linnaus calls it C*- chorium intybus. It is of the Clafs and Order Syngenefia Polygamia tequa- lis: in Englifh, Succory. I take it \Q be the fpecies of re^s, which Dio- 1 ' v ^ corides ( 297 ) corides calls waqtf. It is certainly the weed, injurious to the farmer, which Virgil fo drolly links with the geefe and cranes. - nihil improbus (infer Stramoniteque grues, et amaris Intubajibris Officiunt. Poflibly it was this fpecies of cichorium that made a part of Horace's fallad, Me pafcunt oltv&, Me cichorea t levefque mahte. And that, by 0/iW, he meant the oil which he eat with it. But it is more proba- ble, I think, that he fpeaks of the Cichorium endivia, the plant which we call Endive: and yet, if he could eat mallows, he might alfo eat Succory. Near the plant you have juft ex-^rflf- amined, there is another more univer- um * fally common, and which, as you will find in your Synopjis, immediately fol- lows the Cichorium. It is the Artfium lappa of Linnaeus, our Burdock, or Clotbur; the famous Bardana of the famous Dr. Hill. Arftium is the an- cient ( 298 ) client narne by which it was called by piofcorides* Later bptanifts have given it- the name of Lappa* probably from XctpGcuru, capio, from its catching hold of people's garments as theypafs. Lin- naeus took the Diofcordian name for the genus , and Lappa for the Species. It is of the Clafs and Order Syngenejla^ folygamia tequalis. Its medium height is between two and three feet. The flowers are purple, on the top of a large, globular imbricated common calyx, the exterior fcales of which are fharp and hooked, fo as to catch faft hold of every thing they touch. Whe- ther Virgil, enumerating the weeds that infeft the corn-fields, meant this Burdock, or the Galium ap^rine* is mat- ter of contention among his commen- tators, erafyha, Lappaque t Tribulique * Geor. I. 52. Be this as it may, the Lappa of Pliny is certainly the Aparim of Theophraftus and Diofcorides. You will find this fubjeft learnedly difcuffed in Martyn's Virgil. You ( 299 ) You look inquifitively for the caufe Gali- of the fweet honey-like fmell you per- um ' ceh*e. It proceeds from thofe fpikes of fmali yellow flowers that border this field. If you apply your glafs to any one of them, you will find it is of the ' Clafs and Order T'etrandria Monogynia. The calyx i you obferve, is fmall, of one leaf, with four teeth ; the corolla mono- petalous, plane, without tube, divided into four (harp fegments. The fruit confifts of two dry berries, containing each a (ingle feed : therefore it is a Ga- Hum. The branches which fupport the fmall fpikes are very fhort. The leaves on the Mem grow in whirls, are fhort, linear, (harp, brittle, fulcated, and eight or nine in number. The (tern is brown and fquare: therefore it is the Galium fuerum y Ladies Bedflraw, or Cheefe-ren- ning. We are told by Mr. Pennant and by Mr. Lightfoot, that in the ifles of Jura, Uift, Lewis, &c. they ufe the root of this plant for dying red, and that a deco&ion of the flowers is ufed in the ifle of Aran, and in (Chefliire, to curdle milk for cheefe. You will ( 3 ) will find an excellent engraving of this plant in the Flora Londinenfis. We have hitherto taken no notice of that prolific tribe of plants to which, we of the temperate zone, .are principally obliged for a confiderable part of our food, our raiment, and for this perpetual verdure, fo grateful to the eye. J need not tell you, that I mean the GrafTes. You will probably afcribe our neglect of them to their not bearing flowers, which have always been the objects of our enquiry. Bqt this is not true. Their flowers indeed are neither large not gaudy; never- thelefs it is from their parts of fruclifica- tion, as in other plants, that they are clafled in the Linnaean fyftem. They are difficult of investigation, becaufe the eflential parts are fo minute as to require good glafles, and more time than you can now fpare: for this reafon, we have fuffered the GrafTes to pafs unnoticed. I fhall, however, give you a general idea of their conftruclion, and you may purfue the fubject when you have more leifure. Loli- The natural characters of GrafTes um * are: Stem, Culm, or Straw, ftraight, firn.- fimple, fiftular and jointed: Calyx> a hufk of two valves : Corolla* if it may be fo called, a dry, fkinny hufk, alfo of two valves: Stamina three: Piftilla two. Seeds, fmgle, pointed at each end: Leaves, one at each joint, entire, nar- row, tapering to a point. But thefe characters are not invariable, as you will fee in this fpecimen in my hand, which when I tell you its generic name, you will recollect is mentioned by Virgil more than once. It is the Lolium temulentum* fo called by Lin- naeus from the inebriating quality of its feed when malted with barley brew- ed. In the Georgics you remember ~ inter -que nitmtia culta Infellx Lolium, etfteriles dominatur aventz. And, in the 5th Eclogue, he repeats the laft line verbatim. Whether he meant this particular fpecies I know not. It is called, in Englifh, White Darnel. If you examine it minutely you will find, that it differs from the general character of Grafles, in its calyx being a hufk or glume, of one leaf. The fpecific character of this Darnel is : Culm ( Culm from two to three feet high : Spiko' bearded, flat, near a foot in length. Virgil's avena in the verfe above quoted, was probably the Avenajlrigofa of Schreber, which Dr. Withering calls Scrannel grafs. Ono- The magnificent plant, with pur- ple flowers, growing on that dry bank, demands your notice on ac- count of its ftately appearance; but more efpecially becaufe of its fmgu- larity. It is the only fpecies, in this kingdom, of the genus to which it belongs. We call it a Thiftle; but that appellation comprehends feverafr diftincl: genera in the modern fyftem of botany. Our excellent botanift Ray, confidered it as a Carduus, to- which family it feems naturally to belong. Linnseus, after Haller, calls it Onopordum, with the fpeeific name acanthium. It is our Cotton-thiftle, fo called from the grey down that gives it this whitifh appearance. It is eafily diftinguiftied by its fuperior fubftance and height; its decurrent leaves, or wings, on the item and branches, and by its very large bot- tom torn leaves. Bat its eflential generic character is-, that the receptaculum, refembles a honey-comb, except that the cells are quadrangular, and the fcales of the calyx ftand open, and are (harp pointed. The receptaculum and the young (hoots peeled and boiled may be eaten like artichokes. That Thiftle about two feet high, Car. with a purple flower, whofe decurrent duus ' leaves terminate in a long (harp fpine, is the Spear-thiftle. It is the Carduus lanceolatm of Linnaeus. By this fpear you will eafily diftinguifh it. The ef- fential character of the genus Carduus is: Calyx oval, imbricated, with fpinous fcales : Receptaculum hairy. That other plant with pale purple Serra- fmall flowers, which you would na- iula ' turally call a thiftJe, is according to Linnaeus, not a Carduus, but a Ser- ratula. It differs from a Carduus, in the receptaculum being fub-cylindri- cal, and not fpinous. It is the Ser- ratula arvenfis-, in Englifh, Corn-fa w- wort, ( 3<>4 ) wort, or Way-thiftle. Its flowers, ; which have an agreeable fmell, you obferve, grow in a kind of loofe um- bel, on long peduncles, and that the entire plant is of a pale green. This is probably the Thiftle which Virgil reprobates in the following lines, fegnifque horreret in amis Carduus. - It is indeed the moft prolific, and diffi* cult to eradicate, of any pernicious weed that infefts our corn-fields. It is impoflible to extract it with breaking every fibre of the root, which Curtis thus defcribes Ra- dix perenntSy feres, crajfitie fere dlglti minimi ', fordide albida^ profunde defcendem^ repens, un- dique longiffimefeprotendens. DifTatisfied with Linnaeus's arrangement of this plant, he reftores it to the genus Carduus, to which it naturally belongs. He gives it the Englifli name of Curfed Thiftle, " to awaken," as he fays, " the attention of the agriculturift, to its nature and pernicious effects." We muft not quit this family I fay fa- mily j for though arbitrary fyftems may change their names, their natural affinity will ( 305 ) will remain without taking notice of the moft beautiful among them. I mean that Thiftle whofe leaves are variegated with ir- regular broad white veins. It is the Car- duus marianm or Milk Thiftle, or Lady's Thiftle. The old German Botanifts called it Carduus Maria that is, of the Virgin Mary: fo our old black-letter Botanifts call it Our Lady's Tbiflle. As the Galaxy, or Milky-way, in the Heavens was caufed by the overflowing milk of a Goddefs, fo the milk veins on this Carduus, were the effect of a fimilar redundancy in the breaft of the Virgin Mary> according to the fabulous mythology of the ancient Catholics. Thefe white veins fufficiently diftinguifh this fpe- cies; but fometimes they are wanting: in that cafe, you muft attend to the large thorns, befet with a few fmall ones, which guard the calyx. You may likewife ob- ferve, that there is a fingle head on the top of each branch; that there is no leaf near it, and that the leaves embrace the ftem. I fuppofe you are now fo much a bota- nift, that it is almoft unnecefTary to tell you that thefe Thirties are of the Clafs and Or- U der der Syngenefia Polygamia aqualis: you obferve, are all turbular and herma phrodite. Adieu. LET. Y ( 30? ) LETTER XXXII. JULY. OUR objection to this Sexual Syftem. of Linnaeus, carries more weight upon reflection, than might, at firft, be fappofed. The lady who afked the queftion, " whether women may be inftru6ted in the modern Syftem of Botany, confidently with female delicacy?" was accufed of ridiculous pru- dery; neverthelefs, if me had propofed the queftion to me, I fhould certainly have an- fwered " They cannot." The late Dr. Hope, ProfefTor of Botany at Edinburgh, was naturally a very modeft man, I have frequently feen him embar- raffed under the neceffity of explaining the analogy between the parts of generation in plants and animals, to an audience of young pupils. How much greater would have been his embarraflment, if his pupils had been females ! It is true, the terms are Latin, or of Latin derivation; and it is alfo true, that there is nothing indecent in their lite- ral meaning 5 but, ,unlefs we explain their analogy, the Sexual Syftem does not appear, u 2 The 'The idea of male and female plants, is of very ancient date. The penetrating, the in- quifitive genius of Linnaeus, purfued the idea, faw its want of precifion, difcovered the fexual diftincYions, and made them the foundation of a beautiful philofophical hy- pothefis. But this hypothecs might have been confined to Philofophy. The analogy between the parts, and the propagation, of plants and animals, was of no ufe in a practical fyftem of Botany. Fivejtamina and one ptftillum would fufficiently afcertain the Clafs and Order Pentandria Monogynia, which might with great eafe have been otherwife denominated, fo as to have no reference to fex. In an age lefs refined than the prefent, thefe objections were invalid. Poffibly we may not be more virtuous than our proge- nitors; but doubtlefs we are more delicate. The double entendres in the comedies of the laft age, with which the then audience were fo much delighted, would now be received with difguft: and, what is very remarkable, though we are, by no means, efteemed the moft polifhed nation, we are certainly the moft delicate. Some years ago, I was pre- lent, on a Sunday evening, at the repre- 9 fentation fentation of a French comic Opera, at Brux- elles. One of the fongs was at leaft treble entendre^ and in another, (a duetto between a man and woman) he made feveral attempts to put his hands in the girl's bofom. I be- lieve, this would hardly have been fuffered at Bartholomew-fair. The French have the reputation of a highly polifhed people. This reputation may be juft: neverthelefs they are indeli- cate y fo extremely indelicate, that, paradoxi- cal as it may feem, even their modeft wo- men are difguftingly immodeft. A modeft Englifhwoman is the moft modeft woman in the world. If the ftage be the juft cri- terion of the manners of a nation, we are, at this time, fuperior in point of public chaftity. The fweet fmeli that you perceive in Ttlla. this avenue proceeds from thefe tall trees, which are now in bloom. They are the Tiilia europaa. Lime-trees, of the Clafs and Order Polyandria Monadel- fhia: you will accordingly find, in the flower, many Jlamina and one piftillum. The corolla is pentapetalous and the calyx quinquepartite. The fpecies is u 3 dif- diftinguifhed by its want of a nefta- rium, and by the fingular pale-green ftrap, called a brattea, annexed to the pedunculus, that fupports an umbel of from three to feven radii, with one flower at the extremity of each. The leaves, you fee, are heart-fhaped and finely ferrated. Virgil celebrates this tree for the lightnefs of the wood. * * filia ante juga lavis. Pa/It- That tall umbelliferous plant, which grows fo profufely on the border of this field, I fee, attracts your particular notice. You have hitherto feen no plant of this flruc- ture whofe flowers were yellow; and that circumftance is alone fufHcient to inform me that it is the Paflinaca fyfoeftris, qr Wild Parfnip. It has no involucrum either general or partial, Its petals are involuted and entire, and its leaves are fimply pinnated. The general umbel coiififts of about ten radii, and the partial of as many more. You will find it in the Clafs and Order Pentandria Digynia. Obferve 3 Obferve that plant of an umbelli- ferous appearance, whofe innumera- ble fmall flowers are of a beautiful red-purple: they are generally white. It is of the Clafs and Order Syngene- fta Polygamiafuperflua: you will ac- cordingly find that thejhfculi in the difk contamjtamina andptftilla-, and thofe of the radius, which are about five in number, piftilla only. It is the Achillea millefolium; in Englifh, Yarrow. It is called millefolium, from the numerous divifion of its leaves. There is an engraving of this plant in the Flora Londinenfis y in which the flower is drawn with too little attention to perfpe6live. That noble plant, among the corn, Centau- with beautiful purple flowers on the rea * top of imbricated black-green globes, is of the fame genus, and confe- quently of the fame Clafs and Order, with the Centaurea cyanus or Blue- bottle, which you examined laft month: accordingly, you will find, that the exterior jlofculi have no pif- -t that they are tubular, larger u 4 than than thofe of the diflc, and irregu- larly divided. It is the Centaur ea fca- biofa, Great Knapweed or Matfellon. The flowers, you obferve, are (ingle and raifed on long naked ftalks. The fcales of the calyx are edged with a brown fringe; but, what particularly diftinguifhes the fpecies, is the pin- natifid leaves. The Centaurea nigra> which generally grows in meadows, refembles this plant; but it has no neutral Jlofculi y its leaves are lance- fhaped, and the flowers lefs. Sea. You fee, among the corn, a very tall, bto f a - {lender, plant, with long peduncles, each fupporting a fingle pale-purple flower. The ftem meafures at leaft four feet and a half. I take particular notice of it, becaufe its natural fize is about a third of that height. If you now examine the flower, you will finU, that it confifts of a number of fmall fofculi: You conclude, therefore, with- out hefitation, that you are to look for it in the Clafs Syngenefia. You are miftaken. Nature would fo have clafled it 3 but Art tyrannically tears it from its its relations. It wants the efTential characteriftic of the Clafs Syngenefia: itsftamina are not united. If you ex- amine any of the/0/o///, you will find, that they contain fourjiamtna and one fiftillum: therefore you muft turn to the Clafs T^etrandna^ and Order, Mono- gynia. Scabiofa, the fecond plant in this Clafs, is the genus, andarvenfis the fpe- cies. The genus is determined by the common calyx confirming of many leaves, and the proper calyx being double and above the germin. The fpecific cha- racter is- corolla quadrifid, radiant; leaves oppofite; pinnatifid, ending in a lance j ftem cylindrical and rough . You will find a good engraving of this plant in the Flora Londinenfis, except that it appears rather dwarfifh. Among that wheat you fee a bright Jgrof- purple flower, which for fimple ele- temma * gance is not furpafled by any of the exotics in our gardens, green-houfes, or hot-houfes : but we eftimate things, not by their beauty, but by their fcarcity; elfe who would exchange ten guineas for Cromwell's halfpen- ny? ( 3H ) ny ? This plant is too common for general admiration. It is eafily dif- tinguifhed by the colour of its five obcordate petals, and by the 'extreme length of the fegments of its mono- phyllous calyx. You will find it to be of the Clafs and Order Decandria Pentagynia, and of the genus Agrof- temma, of which four fpecies have been difcovered in different parts of the world; but this, our Cockle, to which Linnaeus has given the trivial, or fpecific, name of gitbago, is the only one indigenous in this king- dom. There is an excellent engrav- ing of. it in the Flora Londinenfis. There is an umbelliferous plant in bloom, the name of which, from the defcription of modern Botanifts, it is impoffible, in its prefent ftate, to dif- cover ; becaufe both the generic and fpe- cific defcriptions, given by Linnaeus, depend principally on the feeds, which are not yet formed: but, by applying the root to your nofe, you will imme- diately tell me, it is a Carrot. It is indeed the Daucus carota, the Wild Car- rot, rot, and differs only from that which is cultivated in our gardens, in the co- lour and fubftance of its root, which is the effect of culture. You will find, on examination, that it is of the Clafs and Order, Pentandria Digynia. Lin- nseus's generic character is : Corolla fub- radiattf) omnes hermaphrodites. Fruttus pills hifpidis : and his fpecific diftinction, Se mini bus hifpidis, petiolis fubtus nervofis. To this may be added, from Relhan, that the flem is fulcated and alfo hifpid ; that the general involucrum confifts of many pinnatifid leaves; that the um- bels have 40 radii, and the umbellulte 30. I fee a beautiful blue flower in the border of this corn-field, which it would have been criminal to overlook, as it is, in its wild flate, peculiar to this county. You are well acquainted with it as a garden flower. It is the garden Larkfpur, but growing wild in great abundance, and variety of colour, in almoft every part of the extenfive fields fouth of Cambridge. The Linnsean name is Delphinium confolida, of the Clafs and Or- jier Polyandria Trigynia. If ( 3-6 ) Dip- If you had ever lived in any part of f acus * the kingdom where woollen cloth is manufactured, you would immediately have recognized that upright plant with large oval heads, growing, in num- bers, by the fide of this ditch. It is the Dipfacusfyheftns, the Wild Teafel, of the Clafs and Order T'etrandria Monogy- ma. It is, indeed, not the fpecies ufed in the woollen manufactory; but there is fo little difference between this and ihefullonum, that Linnaeus confidered the latter as a variety of ifojyfatftris: neverthelefs there is certainly a fpecific diflinftion. In, the D. fullonum, the palete of the receptaculum are hooked downwards : in the D. fyfoejlris, they are ftraight. In the D. fullonum, the leaves of the involucrum are fhort and horizontal: in the fyfaeftris, they are long, and, as you fee, encircle the head. The generic character is Calyx corn- munis polyphyllus; proprius fuperus. Receptaculum paleaceum. The ufe of the Teafel in the manufactory of woollen cloth, is to lay the pile all one way, before it is put in the hot prefs. For this this purpofe about a fcore of the heads of the Teafel are fixed in a wooden frame, or crofs, and bound together by a fmall cord. This inftrument is drawn along the wet cloth lengthwife, forcibly and repeatedly, the piece being fufpended over a perch, and gradually drawn from one end to the other, till the whole has undergone this dif- cipline. The Cloth-drefTers, in the North of Eng- land, fometimes (hut themfelves up, for the clandeftine purpofe of ufmg, inftead of thefe legal Teafels, Cards with wire teeth, fimilar to thofe which are ufed for carding wool. Thefe Cards were fuppofed to injure the fub- ftance of the cloth, an act of Parliament was therefore obtained to prohibit their ufe ; but they are more durable and confequently lefs expenfive. Probably we learnt this appli- cation of the Teafel from the Germans, who have given it a name exprefllve of its ufe. They call it KartendifteJ, that is, Card- thiffle. Vale. LET- LETTER XXXIII. JULY; I PROMISED you, m a former letter, an excurfion to the celebrated Chalk-pit Clofe at Cherry Hinton: celebrated, becaufe it contains a great variety of plants - y becaufe it was frequently vifited by Ray, the father of Englifh Botanifts ; and becaufe my wor- thy friend Relhan, on this fpot, recovered the long loft At ham ant a libanotis: I fay reco- vered, becaufe Dr. Withering in the firft volume of his Botanical Arrangement mif- takes the fact, in faying that Mr. Relhan firft difcovered this plant in Britain. Mr. Relhan never pretended to any fuch origi- nal difcovery, well knowing that Ray had found it on Gog-magog hills 5 but, no Bo- tanift, fince Ray's time, before Mr. Relhan, had been able to find it. He claims only the merit of difcovering a plant, which, for many years, had been totally loft. This explanation is the more neceflary, becaufe Dr. Withering, in the firft part of his third volume, lately publifhed, deviates ftill far- ther from the truth, in quoting the autho- rity rity of Mr. Woodward. But you will not, to day, have the fatisfaftion of feeing this fcarce plant, as it does not flower till Au- guft. The Chalk-pit Clofe will afford us fuffi- cient matter for this day's amufement; we fhall therefore not begin till we come upon the field of action: and, to fatisfy your cu- riofity as to the number of plants now in bloom within the fmall compafs of this Chalk-pit Clofe, the beft way will be to col- left them in your tin-box, and we will af- terwards fit down and examine them. Well now open your budget. No. i. It is the Carduus acaulis> Dwarf Thiftle. You will find it, in acaulis ' your Synopfis, the tenth fpecies of this genus in the Clafs and Order Syn- genefia, Polygamla tequalis. Its having no ftem is a fufficient diftin6lion. Sometimes it is found with a ftem an inch or more in length. This fpeci- men has no ftem at all. No. 2. Verbena officinalis, Vervain, fcr You will find it the firft genus in the Clafs ( 32 ) Clafs and Order Didynamia Gymnofper- mia; and there can be no doubt of the Jpeciesy as there is but one. The flower, you obferve, is fo very minute, that to convince yourfelf of its Clafs and Order you muft have recourfe to your glafs; and alfo of its genus, which depends on the calyx being monophyllous, with one of its five teeth truncated, and on its having four feeds. You will know the Jpecies, by the fpikes being very long with a few reddifh pale blue flowers near the extremity, by its having a fmgle ftem, and the leaves oppofite and with nu- merous clefts. It feems very extraordinary that this in- iignificant plant fhould have acquired fo much importance in ancient times. Pliny tells us it was carried by EmbafTadors when they were fent to demand fatisfaclion for depredations, and that he who carried the plant was called Ferbenarius. He alfo in- forms us that is was ufed for fweeping the table of Jupiter His Jovis menfa verritur t domus pergantur lujlranturque. From Livy we learn that the plant Ver- bena was ufed in the ceremony when the league ( 3" ) league was ratified between Tullius Hofti- lius, third King of the Romans, and the Albans. It was alfo ufed in incantations. Effer aquam et molli cinge haec alt aria vitta-, Verbenafyue a dole pingues et mafcula thura. This Verbena pinguis cannot poflibly be the plant we call Vervain ; unlefs, in com- paffion to the poverty of the Latin language, we tranflate it frefh, full of juice. I recol- lecl another paflage in Virgil, as little ap- plicable to our Vervain. In the fourth book of the Georgics, fpeaking of the old Cory- cian's garden, Hie rarum tamen in dumis olus, albaque circum Lilia, verbenafquepremens, e vefcumquepapa t uer^ Regum tequabat opes animis. So that this contented old man thought himfelf as rich as a King, with a few flrag- gling cabbages, furrounded by lilies, vervain and poppies; the laft of which feems to have made part of his food, unlefs we tranflate vefcum meager, a fenfe in which, I think it "is fometimes ufedj but as to this border of Vervain, if it be our plant, it could neither be for ufe nor ornament. Probably fuper- X flition ( 322 ) flition introduced it into the gardens of the ancients. On the fame foundation a quack in this kingdom, a few years ago, publifhed a pamphlet on the infallibity of the root of Vervain, worn round the neck, for the cure of the King's Evil. It was thought, by the ancient phyficians, to poflefs great medical virtues. It is juft as ufefui in Medicine, as in the art of Incantation. Convol- No. 3. Convolvulus arvenfis, Small vulus. Bindweed: Pentandria Monogynia. The corolla, you obferve, is campa- nulate and plaited, and the piftillum has a double Jligma. The flems are generally numerous, weak and trail- ing. The leaves are fliaped like the head of an arrow, with three acute points: In the Convolvulus fepium, Great Bindweed, the two pofterior angles of the leaf are truncated. The flowers are white, as in this fpeci- cimen, or pale pink. No. 4. Anthyllis vulneraria, Ladies-finger. This is an old acquaintance: you have ex- amined it laft month. No. 5. cum ' ( 323 ) No. 5. Verlafcum tbapfus. Great Mullen: Pentandrla Monogynia. The corolla has a very fhort tube, is fixed below the germen, and has 5 obtufe fegments. . The fpecies you will dif- tinguifli by its decurrent leaves; its fix-feet fimple ftem, terminated by a long clofe fpike of yellow flower, and by the greenifh-white flannelly ap- pearance and feel of the entire plant. No. 6. Campanula glomer at a: Can- Campa terbury-bells. The corolla you ob- nula ' ferve is regular, of one petal and be- low the germen: it is bell-fafhioned, and clofed at the bottom by 5 valves which fupport the ftamina. The Jligma is trifid : thefe particulars con- flitute it a Campanula, and the fpe- cies is characterized, by the ftem be- ing erect, angular, fimple; and the flowers, generally blue, growing three together in the alse of the leaves. Rel- han obferves that the height of the ftem varies from three feet to three inches. x 2 No. 7. ( 3*4 ) No. 7. Liguftrum vulgare : Privet. This you faw iaft month. Ru- No. 8. I need not tell you, that this bus ' is the common Bramble, or Blackberry. It is the Rubus of Linnasus and of all former fyftematic Botanifts. The Clafs and Order are Icofandria Polygynia. The generic character is perfectly diftinct and obvious, viz. Calyx quinquefid: Petala five: Berry compofed of many fmall ones with a (ingle feed in each. Linnaeus enumerates no lefs than twen- ty fpecies of this genus^ of which no more than five are natives of Britain, and but two of Cambridgefhire, name- ly, the CtefiuSy Small Bramble or Dew- berry, and this Fruticous or Common Bramble. It is diftinguifhed by its long, trailing, fpinous, ftem; by its 3 or 5- fingered leaves, white flowers and black fruit. Carduus No. 9. Carduus eriphorus. Woolly- eriopbo- Beaded Thiftle. This Thiftle may be immediately diftinguifhed by the fingularity of its leaves which ex- aftly refemble a Cbeveatt de Prize, their fegments pointing four diffe- rent ways, and terminated by a fharp thorn, which is the only thorn upon them. The lowermoft of thefe leaves are frequently eighteen or twenty inches in length. No. 10. Papaver rhoeas, which you are already acquainted with. No. 1 1. Is the little plant Euphra- Jia officinalis. It frequently grows much higher than this fpecimen, the item of which is not above four inches. You will find it in the Clafs and Order Didynamia, Angcofpermia. The calyx, you obferve, is of one leaf, cylindrical, quadrifid, the feg- ments not quite equal. Now take your glafs and you will difcover, that the anthers are purple, with each two lobes with a fpine at the bafe. The corolla is ringent. Such is the genus Euphrafia, of which there are, in all, fevenfpea'es. We have in this kingdom but two of them. This which you have gathered, is called x 3 (imply limply Eyebright ; the other, E.odon- tites t or Red Eyebright. As the firft was to cure difeafes of the eyes, fo the latter, as I fuppofe from the fpe- cific name, was deemed a remedy for thofe of the teeth. They are eafily diftinguifhed. Of the officinalis the flowers are generally white or pur- plifhj the flalk purple and about 5 or 6 inches long; the leaves, oval in pairs with very fharp teeth. Of the cdontites, the flowers are flefhcolour, in lateral fpikes; the flem green, much branched, ten or twelve inches long; the leaves are lance-fhaped, thinly indented and moft of them purple. Orchis, No. 12. I fhould imagine, that t ^ ie moment y u beheld this beauti- ful purple flower, you were ftruck with a family refemblance to a plant which you examined two months ago. It is indeed of the fame genus with the Orchis morio, which we met with near Impington, in the month of May. This is called Orchis pyra- midalis, Pyramidal Orchis, which ap- pellation. ( 327 ) pellation, alluding to the fhape of the fpike, is almoft fufficient to dif- tinguifh it from any other fpecies; but if you add, that the horn is re- markably long; that the ftem is ten or twelve inches in length, and en- tirely inveloped by its leaves, you will be in no danger of miftaking it for any other Orchis. No. 13. Plantago major. Great Plan- Plan- tain. Of the Clafs and Order Vetran- tag9 ' drla Monogynia. Thefe very minute flowers are an infuperable objection to the Linnaean fyftem. If, however, the ufe of a fyftematic arrangement of plants be only to trace them to their generic and fpecific names, the habitus of the Plantains is fo obvioufly diftin6l, that we may leave fyftem out of the queftion. Thisjpectes is known by the leaves being broader, flightly indented, and not downy, and by the antherae be- ing purple, and the fpike longer than in Plantago media, from which in ap- pearance it differs very little. No. 14. That is the Hedyfarum onobrycbis, x 4 which ( 3*8 ) which you faw in our I aft excurfion to the hills. \ Hyperi- No .15. Hypericumperforatum^ Co m - cum ' mon St. John's- wort; of the Clafs and Order Polyadelphla Polyandrla: you perceive, accordingly, that the numerous ftamina are united at the bottom in three/ had moft reverendly obferved. You will be furprifed to find, that there is nothing extraordinary in its appearance: its fole merit lies in its fcarcity. Here it is. You have feen many common umbelliferous plants, of much the fame appearance. Like the reft, it is of the Clafs and Order, Pentandria Digynia. The generic character of the plant is Fruttw cvato-oblongus, Jlriatw. ma " ta ' Petalainflexa>emarginata; and thefpe- cific character foliis bipinnatis pla- nis> umbella hemifpherica y jeminibus hir- Jutis: fo that both the generic and fpecific characters depend upon the feed. ( 332 ) feed. However, if you attend to a few obvious particulars, which I (hall point out, you will eafily recognife the plant, if you fhould ever meet with it in any other part of the king- dom. Firfl, you obferve, it is an um- belliferous plant, neither tall nor very flout j that the umbel confiding of many radii has a confiderable con- vexity, and that it is rather grey than white. The flem, you fee, is angu- lar and unequally furrowed. The leaves are bipinnated fomewhat re- fembling thofe of parfley, except that theptmtz are feflile, and that the bafe of every leaf fheaths either the flem or flalk which fupports the umbel. To thefe obfervations you may add, that the root is fliaped like a carrot, though not fo regularly flraight; that it is acrid but fomewhat aromatic, and that it is bearded or fringed at the top, with a tuft of leaves like hair vertice barbato> in the language of Linnaeus. There is a good en- graving of this plant in Relhan. The Englifh name is, Mountain Stone- parfley* given it, I fuppofe, by Ray, who ( 333 ) who firft found it on Gog-magog Hills. Well You have now had the fatisfac tion of culling a fimple, which very few Bo tanifts in this kingdom have ever feen. There ftands another plant of the fame umbelliferous family. It is the nella ' Pimpinella magnet^ Burnet Saxifrage. It firft blooms in July; fo that. you muft have overlooked it when we were laft here. You fee, it has nei- ther general nor partial involucrum ; the firft coniifts of about 14 radii % and the latter from 10 to 18, ac- cording to Relhan. I have generally found them nearly equal. The ftem is furrowed and 2 to 3 feet high. The leaves are lobed, ferrated, oily, and broader than they are long, but grow narrow and almoft entire as they afcend. Let us now continue our walk. If I miftake not, that diffufe plant, The- with long crooked ftems partly trail- S tum ' ing, and terminated by loofe fpikes of fmall white flowers, is the T^hefium lino- ( 334 ) phyllum, which Relhan has thought de- ferving a plate in his Flora ; for which reafon you may conclude it not very common. It is of the Clafs and Order Pentandria Monogynia. Its Engliih name is Baftard Toadflax.- The calyx is of one leaf, into which \hs.jlamina are in- ferted. The feed is {ingle. The leaves are numerous, long and narrow. There are ijfpeciesot t\\\s genus, of which this is the only indigenous in England. We might have feen it in flower above a month ago. Opbrys. That plant with a fingle ftem about feven inches high with a fpike of greenifh white flowers, running fpirally to the top, is nearly allied to the Orchis family; and it was fo called by Ray and other Botanifts. Its prefent generic and fpecific ap- pellations artOphrysfpiralis. Its Clafs and Order are, Gynandria Diandria, It' differs from the Orchis only in the form of the nettarium> which, in the Ophrys, is (lightly carinated un- derneath. If you take up the root, you will find feveral long bulbs, which, ( 335 ) which, with the fpiral difpofition of the flowers, fufficiently afcertain the fpecies. The Englifti name is Trip- pie Ladies-traces. There are no lefs than 28 fpecies of this genus, eleven of which are natives of this kingdom. That plant, about a foot high, Gentia- with feveral branched ftems, termi- na " nated by bunches of blue cup-fafhi- oned flowers, is of a very irregular genus, which, therefore, folicits your attention. It is a Gentiana, of which Linnseus enumerates 39 fpecies: of thefe, five only are natives of this ifland. They are according to Lin- nasus, of the Clafs and Order Pen- tandria Digynia; but of thefe five, two properly belong to the Clafs T^e- trandria, where you will find them in the Synopfis-, and where they cer- tainly ought to be. If the prime dif- tinclion, that of Clafs, be not abfo- lute, the fyftem is of no ufe to a young Botanift. This plant, how- ever, which you have gathered, has fiveftamna. It is the Gentiana ama- rella, Autumnal Gentian, or Felwort. The ( 336 ) The generic character is: Corolla monopetalous; capfula bivalve unilo- cular; receptaqtlumZwOj longitudinal. The Linnsean character of thejpecies is corollis quinquefidis hypocrateriformi- bus,fauce barbatis. But, fays Relhan, numerus fegmentorum calych et corolla, nil valet: fo that you muft depend principally on this beard, which, by the bye, is infide the mouth. The leaves, you obferve, are lance- fhaped. Pliny fays the plant Gentian was fo called from Gentius, King of Illyria< I do not remember the name of any other King of this country. There is indeed a Duke of Illyria, with whom I have the pleafure to be well acquainted. His name is Orfino. You remember him in The Twelfth Night. Sir Thomas Hanmer, in The Winters Vale, alters the kingdom of Polixenes from Bohemia to Bithynia, on a fuppofition that it was a blun- der of fome tranfcriber; becaufe he thinks it impoflible that Shakefpeare ihould have been fo ignorant, as not to know, that Bohemia was an in- land country; whereas the kingdom which ( 337 ) which Polixenes governed, was, evi- dently, maritime. As toShakefpeare's geographical ignorance, there are other mftances of it, equally flagrant. In *The Two Gentlemen of Verona^ he makes one of them embark at Verona for Milan, and the fervants talk of faving the tide. Would Shakefpeare have done this, if he had known that thefe are both inland cities ; that they have no communication whatever by water, and that there is no tide in the Mediterranean. Sir Thomas Han- mer was certainly right in blotting out the abfurd Bohemia -, but Illyria would have been a better fubflitute than Bithynia, which Bithynia was fituated on the black Sea, oppofite to the prefent Conftantinople. This Bithynia appears, from a line in Claudian, to have been very anciently called Thrace. ftyni fflraces erant, qua nunc 'Bithynia fertur. Probably it was peopled by a colony of Thracians croffing the Bofphorus, and there- fore called Thracia Afiatica. Now it is very improbable that Antigonus, who embarked Y from C from Sicily for no other purpofe than to expofe the infant, fhould make a long voyage, through the Archipelago to the Black Sea. But Illyria bordered on the Adriatic, at a moderate diftance from Sicily. Thefe geographical truths are indifpenfably neceffary in every reprefentation, though fa- bulous. The majority of an Englifh audi- ence may bear an embarkation from Vero- na; but what would an Italian fay, who might be prefent at the reprefentation? Would he not.naturally whifper to his com- panion " This great Shakefpeare of the Englifh, was an ignorant blockhead." I have as fincere a veneration for the memory of Shakefpeare y and- feel his beauties as exqui- fitely as any of his moft enthufiaflic com- mentators j but no veneration for authentic abfurdities fhould prevent me from oblite- rating his palpable miftakes. If you can bear the fudden tranfition from his Illyrian Majefty to a .heap of rub- bifli from a King to a dunghill -.this wafte will afford you fome inftruclion, and, confequently, I prefume, forrie pleafure. Pleafure is the object of purfuit of all man- kind -, but, notwithltanding its feeming rea- lity, from its appearing in a different fhape to ( 339 ) to almoft every individual, one would be apt to fuppofe it a phantom, an ignis fatuus. You are yet a ftripling. You have fcarce looked into manhood ; it cannot therefore be expected that you have thought much about the matter. At your age, fenfual pleafures are powerfully attractive; but pow- erful as they are, you cannot avoid reflect- ing, that you have them in common with the brute creation; it were therefore too degrading to human nature to fuppofe, that fenfual pleafure is its fummum bonum-, that, with faculties fo infinitely fuperior to the animal world, man was created incapable of pleafures above thofe enjoyed by other animals, and probably by them in a higher degree. From thefe reflections, you are naturally induced to direct your attention towards the pleafures of the mind, as moft congenial to your rank in the creation; and I will venture to aflure you, that nothing will af- ford you fo much pleafure as the purfuit of knowledge. The celebrated Dr. Prieftley, in a preface to one of his philofophical pub- lications, very pleafingly and ingenioufly fuppofes, that he fhall carry his multifarious acquirements to the next world, and, very y 2 ra- ( 340 ) rationally, confiders his infatiable thirft of knowledge, as a powerful argument in proof of a future flate. Cbenopo- You obferve a plant, about a foot dium. j n h^ght, near that dunghill; with fhort, fpread, flat bunches of green flowers, and leaves fomewhat refem- bling, in fhape, the foot of a goofe, and not very unlike the leaves of a nettle. It is the Cbenopodium murale, Goofe-foot or Sowbane, of the Clafs and Order Pentandria Digynia. The calyx is pentaphyllous and pentago- nous : corolla it has none. Its leaves are glofTy, and the whole plant has a difagreeable fmell. By thefe cir- cumftances you will diftinguifh it from the other fpecies of which there are twelve in this kingdom, and twenty in all. The genus is eafily known by the green flowers, the goofe-foot leaves, and their growth near dunghills and among rubbifh. Our homeward rout now lies along the verdant banks of this rivulet varies hicfumina circum Fundit bumus fores. If If you pull one of thofe bunches of fmall cream coloured flowers, you will find they have a ftrong kernel odor. They refemble apparently the flower of the common Elder; but you will find them of the Clafs and Or- der, Icofandria Pentagynia. It is the Spir&a ulmaria> Meadow-fweet. You cannot mif- take the genus > becaufe there are, in this kingdom, but two of this Clafs and Order, one of which is the Wild Pear-tree. There are alfo but two fpecies of the Spircza. The other is the S.fiHpendula, Dropwort: it is a much lefs plant, and is particularly diftin- guifhed by the oblong glands at the extre- mity of the fibres of its root. That plant with purplifh red flowers, Spi- of four obcordate petals, with leaves raa ' refembling thofe of the Willow, is the Epilobium hirfutum^ Large-flowered Wil- low-herb, or Codlings and Cream, fo called from its fmell, which has been fuppofed to refemble the fmell of apples and cream. You will find it to be of the Clafs and Order Ofiandria Monogy- nia. The genus is characterized by its five-leaved calyx, four petals, oblong y 3 capo ( 342 ) capfula, and downy feed ; and you will diftinguifh the fpecies by the flower being much larger than that of any other Sfzrtza, and by its ftem and leaves being hairy. Car- On the oppofite fide of the rivulet duus " I fee a fpecies of Thiftle which we have never yet met with. It differs fuffi- ciently, in appearance, from the reft. Its flowers are of a deeper purple, and grow two or three together like a cluk ter of filberds. The calyx is clofely imbricated and fmooth. The upper leaves are few, narrow, and often curl- ed. It is the Car duus paluftris, or Marfh Thiftle. We have, I believe, examined, in our fe- veral perambulations, at leaft, fourfcore dif- ferent plants, of various ClafTes, Orders, Genera and Species: a fmall number, in proportion to all the indigenous plants of this ifland; but a number amply fufficient for a botanical foundation. In the fucceed- ing months, were we to continue our ex^ ciirfions, we fhould meet with few plants in flower that would either add to your bo- tanical ( 343 ) tanical knowledge, or call to your recollec- tion a line in any claffical author; except the Hedera, which Virgil tells us, indicates a cold foil. at feeler at am exqttirere frigus Difficile eft: pieces tantum, faxiquc nocentes Inter -dum, aut hederce pandunt veftigia nigrce. Nigrte, I fuppofe, becaufe the berries are black. That poets were crowned with Ivy we learn from this line. Paflores hederd crefcentem ornate poet am. You will not find the Ivy in blofTom till October: it is of the Clafs and Order Pen- tandria Monogynia. You are now qualified to proceed with eafe, if you feel delighted in the purfuit: if not, you have learnt no more than, I fhould imagine, every man who has had the ad- vantage of an Univerfity education, ought to know. But, in the Sciences, alps on alps are continually arifing before us. Happily for the Enthufiaft in knowledge, he is in no danger of weeping with the Macedonian madman, that there are no more worlds to conquer. In the Linnaean Syftem of Botany, Y 4 the ( 344 ) the moft numerous Clafs of Plants, we have left entirely unnoticed, I mean the Cryptoga- mia. Of thefe I purpofe to give you a general idea in my next letter, mean while, Adieu. LET. ( 345 ) LETTER XXXV. /^RYPTOGAMIA, from xgwrro? occuhus \^_jl and yupos nuptt&, you know is the twenty-fourth Clafs in the Linnaean Syftem. You alfo know that it is fo denominated becaufe the modus propagandi is concealed, either from minutenefs, or within the fruit : in the language of Linnaeus, nuptia clam celebrantur. The Orders are four, viz. F/- Itces, Mufti, Algety Fungi. FILICES. This Order comprehends the plants commonly known by the name of Ferns, whofe fructification is on the back- fide of the frondeSy or leaves. The genera which have been difcovered in this king- dom are, Equifetum, Horfe-tail. The plants of this genus bear no refemblance to Ferns: they are fhaped rather like little Pines, from one to three feet high. They elevate their fructification on the top of a naked fpike proceeding from the root. The ftem and leaves are com- pofed of tubes inferted into each other at ( 346 ) at the joints, which leaves fland in whirls gradually diminifhing to the top. If you fhake a little of the duft from the fpike on a fheet of white paper, and examine it with a good glafs, you will fee it ikip, as if it were alive. There are of this genus feven fpecies, fix of which have been found in this king- dom. In the Flora Londinenfis you will fee a good print of the Equifetum ar- venfe, Opbioglo/um. Of this genus there are nine fpecies, but one of which has been found -in Britain : it is the O. vutgatum, common Adder's Tongue. Its generic character is Spica artlculata^ dijlicha-, articulis tranfuerfim dehifcentibus. It is a fingle, thick, oval, leaf, without rib or veins, on a foot-ltalk four inches long. Ofmunda. Of thefe the fpike is branched, and the capfules globular. There are four fpecies in this kingdom. One of them is the O.fpicans, you will find it in Curtis. We call it Rough Spleenwort. The feeds are only on the center-leaves, which are more erect and the wings more diftinft. Acrof- ( 347 ) Acroftichum. Fructifications cover the entire diik of the leaf. We have twofpectes of this genus. They both grow out of the fiflures of rocks in Wales, &c. Pteris aquilina. This is our oulyfpecies of this genus, though there are, in different parts of the world, no lefs than 23. It is diftinguifhed from other ferns by the fructifications being in marginal lines. It is our moft common Fern, or female Fern, or Brakes, or, in Yorkfliire, Brackens. It is that fpecies commonly burnt for the afhes, which yield a large proportion of vegetable alkali. Lin- naeus gave it the trivial name of aqui- lina, from the fuppofed figure of the Imperial Eagle in the root when cut obliquely. Lightfoot fays, that pota- toes planted on this fern never fail to produce a plentiful crop ; that in Nor- mandy the wretched inhabitants are fometimes reduced to the neceflity of mixing its roots with their bread. I hope the revolution in France, will, in its confequences, relieve them from this neceflity. It was formerly much pfed medically in obftruftions of the vijcera, ( 348 ) vifcera, and the root is frill prefcribed, in powder, as an anthelmintic. Afplenium. In this genus the fructifications are in oblique right lines on the diik of the leaves, which are either fimple, pinnatifid, pinnated, or decompofite. Linnaeus enumerates 28 fpecies, of which only eight have been found on this ifland. Of the A.fcolopendrium Cur- tis has given a good engraving. Thefe feveral fpecies are in Englifh called Spleenworts, with fame epithet to dif- tinguifli them one from another. Polypodium. Fructifications in roundifh fpots on the difk of the leaf, in lines parallel to the nerve. We have 14 fpecies of this genus. There are in all 78. The leaves are varioufly pinnated. In the Flora Londinenfis you will find a plate of the P. vulgare. Common Polypody. Adiantum. Seeds in oval fpots in the curled extremities of the leaves. Of thisj^?- cies there are 27 genera, of which only the A. capillus Veneris, True Maiden- hair, is a native of Britain. It has been found on Barry ifland, Glamor- ganfhire, and on the ifle of Arran in Scotland. 5H, ( 349 ) I'ricofftanes. Fr unification folitary, terminat- ed by a ftyle like a bridle, on the very edge of the leaf. Of the 13 genera de- fcribed by Linnaeus, we have but two, viz. T*. pyxidiferum, and 7*. tunbrigenfe. They have both been found in various parts of the kingdom on moid rocks. Pilularia. Male flowers in a line, like dud, on the under fide of the leaf. Females at the root globular, quadrilocular, containing many feeds. Of this there is but one fpecies the globulifera^ Pep- per-grafs It creeps along the ground like a mat. The leaves are three or four inches high, and the capfules are like pepper-corns. It is found in places that have been overflowed during the winter. Ifoetes. Male flower, anthers at the bafe of the inner leaves. Females, capfula bi- locular, at the bafe of the external leaves. There are of this genus but two fpeciesy one of which has been found at the bottom of fome lakes in Wales and in Scotland. Its fpecific appellation is lacuftris, Quilwort. The leaves are jointed, fubulate, and about four or five inches long. Thefe ( 35 ) Thefe eleven genera comprehend all the Britifti Ferns, or rather let us call them Filices: many of them have no refemblance to what we mean by Ferns. The next Or- der of this Clafs is the MoJJes, of which Lin- naeus makes eleven genera: nine of them are indigenous with us, viz. Musci, faid to be derived from poo-xt?, vifulus, a calf, a heifer, a young {hoot, or any thing young. With what propriety, if fuch be the derivation, this fecond Order of the Clafs Cryptogamia is thus entitled, I do not underftand: however, we tranilate it MoJJes. It comprehends thofe plants which have anther a without filament a -, whofe fe- male flowers have no pijlillum^ and whofe feed is a naked corculum. Lycopodium, Club-mofs: anther a bivalve, fef- file; calyptra none. Of the 29 fpecies of Linnaeus, we have no more than fix, for a defcription of which I refer you to your Synopfis-, and, if you have an in- clination to be more minutely inform- ed, confult Lightfoot's Flora Scotica. Sphagnum. Bog-mofs: anthera operculate, mouth not bearded. No calyptra. There are are but three fpecies of this genus, all which are natives of Britain. Of the fpecies paluftre, Linnaeus, in his Flora Lapponica, tells us, that the Lapland matrons, having dried it, will make a moft comfortable cradle-bed of it for their infants. Phafcum. No operculum-, no beard: calyptra minute. We have, in this kingdom, but three fpecies of this genus. There are five in all. The generic character, of Linnaeus, even in Murray's lafl edi- tion of the Syftema Vegetabilium, is an~ thera operculata-, ore ciliata: but Curtis is pofitive that there is no operculum y and that the mouth is beardlefs. Of the Phafcum acaulon and fubulatum you may fee a very good engraving in the "Flora Londinenjis. Fontinalis, Water Mofs: anther a operculate; calyptra feflile, inclofed in a perichatium. There are but four fpecies of this genus, which are all natives here: one of thefe Linnasus calls antipyretica^ becaufe the Swedifh peafants ftuff it in between the woodwork of their chimneys, to prevent their taking fire. We call it Greater Water-mofs. Splacb- ( 352 ) Splachnum: anthera on a large coloured apo- phyfa: calyptra caducous. Female ftar on a feparate individual. Of this, Lin- naeus has fix fpecies, but two of which are Britifh. Polytrichum: anthera operculate, on a fmall apophyfis: calyptra villous. Female flar in a diftinct individual. The fivejpe- cies of this genus are indigenous here. If you be defirous of an intimate ac- quaintance with the fubrotundum, con- fult the Flora Londinenfis. Mnium : anthera operculate : calyptra fmooth : Female, a naked bulb, frequently on a feparate item. There are twenty fpe- cies of this genus, of which we have thirteen. Nine of thefe you will find accurately engraved and defcribed by Curtis. Bryum: anthera operculate : calyptra fmooth : a filament from the terminal tubercle. Of thefe there are thirty-feven fpecies in the laft edition of the Syftema Vegeta-< bilium: Hudfon had augmented them to forty-five, in this kingdom only. They were fufficiently numerous alrea- dy. In the Flora Londinenfis you will find excellent engravings of mnejpeczes. Hypnum. ( 353 ) Hypnum. Differs from the two laft genera only, in a lateral filament from the/>fat frata biberunt. Vale. INDEX INDEX I. A Page ABYSSINIA -. 205 Action, graceful in fpeaking 129 Addition 78 Africa , 204 Ages, Shakefpeare's i Aleppo 203 Alexander _ 133 Allegoria -* 125 Amazons, river 208 Ambition, a virtue, or a vice 133 America, map of 206 . north * ' 206 m ' i fouth - " ' * 2O7 Animation in fpeaking 12 Archipelago 19 Ariftotle *$ dft * Arithmetic 76 Arrogance, juvenile . 17, 24 Articulation diftinct, how acquired 127 Arts, and Sciences, what ? 1 8 Afia, map of 203 Attitude, graceful in fpeaking 129 B Bacon, Lord Chancellor 37 Baltic - 201 Bay, Botany I 97 garbary 205 i 4 Beau- 360 INDEX Beaufobre, his commentary 252 Bible, chapter in ia g Bithinia . . _ 2 ^ Black-legs _ ;* Bombay . 2O3 Bowing on the violin v* j8 7 Bowling . -. _g Bravo l6 Britain - 2O2 at the conclufion of the American war 136 compared to a fhip in a ftorm 127 Bruce, his travels . . , . 2oz - Brutes ,, 2 Buxton, Jerediah , L C Csefar , 33 Canada 2O7 Canary iflands 2O 6 Candia I9 g Carnatic ^_ 2 Catches and glees ,6g Changes, ringing of 172 Chapel, early . g Chords, mufical , , jg,, China\ , 2 Chriftianity *-. .. , j 2 Circles on the map . ^ Cicero ^ ,j| in praife of oratory I4 o . his opinion of the creation j CA of a future life ^T Cliffs in myfic , . , ^ Club, milkfop , , j 2 Colleges refemble Convents . 2 1 Companions, choice of _ . 59 Coro- INDEX 361 Coromandel "- 204 Corfica 198 Courage " 159 Cramer 19, 188 Creation not the effect of chance 153 Cui bono? " *6 Cullen, Dr. 9 Cyprus * ' 198 Danube river 201 Debauchery, early, its confequences 61 Demofthenes 122, 138 Des Cartes, his philofophy 49 his Logic 67 Deftiny 57 Dinner, invitation to 63 Difcords, mufical 184 Difpofition in Rhetoric 123 Devotion, early 146 Divifion, arithmetical Don, river Drefs Drinking to excefs Duty a bore 59 E Earth, map of J 94 Education, public and private Elbe, river Elocution I2 3 '26, '38 _ its power - Emphafis Energy in fpeaking m Enthufiafm no pre-eminence without it Equator "" ~ Erudition, univerfal 362 INDEX EfTentials in a prime miniftcr . j*^ Europe 19 8 Fags at public fchools * 4, * Famion 28 Figures in Rhetoric - 126 Future life, Cicero's opinion of it 153 G Gambia, river <. . 206 Gambling , I4 s Gentleman, what? , -. !6 2 Geography I93 Gefner, the Swifs naturalift 230 Gillyatt, Edw. . 123 Gloria vera . . 26 Goa . ' 203 Good-hope, cape of . 205 Guinea, coaft of . . * 2 o6 H Hamlet ... 131 Harmony, mufical, what? 182 Harpfichord 189 Havanna 209 Highwaymen * rfo Honour, what? . 162 Honefty abfolute 161 Holland, new ip7 Horfe- racing " . 147 Hunting . . 147 Hyperbole - . . 125 Ignorance at Oxford and Cambridge, why 29 111- temper 1 - 146 lllyria 337 India . ' 204 Inti- INDEX 363 Intimacy, not to be formed with opulent ftudents Invention in Rhetoric _ J2 g Integrity the beft fupport . i6j Iroma in Rhetoric J2 $ lilands, fociety . 2 io Ivica . . 1Q g K Kamtfchatka 203 Kanafter tobacco, whence? . 208 Key, flat and fharp _ 167 King refponfible 134 Key, major and minor 17^ L Latitude, what 106, 200 Lewis XIV. 133 Lectures in the univerfities 31, 34 Leonidas . 45 Linnaeus, his clafs of quadrupeds ^ 27 his fyftem 222 Locke 10, ii . his Life 52 Logic . 66 . tables of 71 Longinus 122 Longitude q6~ M Machiavel 10 Madera, ifland of 206 Majorca 198 Malabar . , 204 Mamali > - 27 Man, his rank in nature 27 Mathematics 15 Mauvaife honte < 130 Melody, 3 6 4 INDEX Melody, what? ' 166 Metaphora I2 4 Metonymia in Rhetoric 124. Meridians - ~ 196 Milton, his Life -~-=- 43 Minifter, prime *34 Minorca '9 8 Modes in mufic > .175 Morofenefs unnatural to youth 60 Mofes from Pifgah 56 Multiplication 97 Mufic, praftice of 184 to be learned or not ? 165 N New-England 2O 7 Newmarket r- 148 Newton, Sir Ifaac 'n his Life 4^ Nile, river 20 5 Nooika- found 1 97 Notes mufical l $ l Q Ocean, atlantic J 97 >,, pacific Q&ave in mufic - 173 Opera dancers -r- I B I , Orator, requifites * 2 7 Otaheitee ' 2I P Paradifeloft 45 Performers, mufical gentlemen Peripatetics ' I1 9 Pitt, Mr. 135 Poeftum - Porto-bello r ' Pofi- INDEX 165 Pofidonia - . 2I2 Predeftination _ _ rg Prieftly, Dr. - - 2Z Primates - - Profeflbrs, ftupid - ^ Pronunciation - - - proper, how acquired . 127 Pruffia - - 199 - King of - - 9,25 - his religion . I52 R Reader, a good . ... I2 y Reformation - 23, 31, 35 Religion - . - ,44 Revelation - , I47 Rewards and punifhments l $ Rhetoric _ . , I2O Rhine, river , 2OI Rhone, river , 2O2 Reformation of the univerfities 141 Rivers in Europe '201 Rifmg early . _- ,4^ Roebuck, Mr. of Heath near Wakefield 179 Rolli, his tranflation of Milton 45 Ruflia . j^^ o St. Crifpin and his difciples - 131 Sardinia - ipg Scales of mufic !7^ Schools, public 2 School-boys, their ignorance 2 . drunken 62 Sciences - - - 20 Sea, black 201 mediterranean 193 Sea, 366 INDEX Sea, red , . 2O fouth , g Semitones .. - ji. Servility, the confequences of fagging at public fchools g Shakefpeare, ignorant of Geography 526 Sheridan, his leftures . ,22 Siberia 2O3 Sicily 19 f Singing , I89 Smyrna 2O , Socrates , - Sounds, mufical . ,5^ Strings, mufical l6g Subtraction, arithmetical . 88 Synecdoche, in Rhetoric , I24 Stage, the I3I T Tagus, river 2O2 Tale of a tub , 2 3 Thames, river . - 2O2 Tones, grave and acute - 171 Trope in Rhetoric - I2 , Tropics I95 Turkey *-* 203 Tyranny from education , g Tutors, blockheads . . ^ Time in mufic ! g o U Vanity, natural _ . 24 Virtue its own reward _ 1^5 Vice, neceffary . i^ Violin, players on . jg^ Veracity, its importance 157 Ulloa, Don Ant. . 208 Ullyfles, INDEX 367 Ullyffes, his eloquence X ^Q Unifon, mufical ,g 2 Voice, melody and pitch - , 12 g W Wales, New South . 2O<7 Walpole, Mr. H. - 3 Walters, Mr. . _ i^ War, American ,. 2 io Weft Indies < , 209 Wit, dangerous * World Zones World - _ , 94 INDEX. II. B O 2 Euphrafia 325 Eycbriehc - .325 A a Filices 37 INDEX, Filices 345 Ferns 345 Flax ar: > 2 79 Fontinalis . 351 Fucus , 355 Fungi 355 Q Gentiana 335 Gentius K. of Illyria * 366 Glecoma . - ^ 251 Goofe-foot 340 H Hawthorn ._ 257 Hedera ^ 343 Hedyfarum . 280 Helvella -. 357 FJemlock a 73 Henbane 276 Horfe-tail 345 flydnum - 3^6 Hyofcyamus - - 276 Hypericum r- 328 Jiypnum 353 Jack by the hedge * 262 Ifoetes r? . -.- .r 349 Jungerrnannia 353 Ivy 343 *- ground, ' 2 5 l L Ladies ringer 270 ^ . fmock u 263 . traces - 335 Lamium "r -= - 2 5- Larkfpur INDEX. 3? , Larkfpiir . ~ lr Lenas us Pompey's freed man 220 Lichen . , , Liguftrum . . 2QO -Lily, water . , , 228 Lime tree . . ~ O g Linnaeus, his fyftem ., , - his hiftory , 224 Linum . _ . 270 Lolium . _ 2 OO Lotus 2 g 6 - Lycoperdon . 3^7 Lycopodium - 350 Lythofpermum . , 2 6i M Mallow , 202 Malva 293 Marchanria . 3^ Meadowfweet , 341 Medicago 275 Milkwort 282 Morifon, profeflbr 221 MoITcs - . . 350 Mullein 323 Mufci . . 350 N Narcifius 241 Needle, ihepherds 278 O Onopordium 302 OphioglofTum 346 Ophrys 334 Orchis 267 A a 2 Orders 37 2 INDEX. Orders of Linnasus - 223 Ofmunda - - 34 6 P Papaver - - 287 Parinip - - - 3? Pafque- flower - 2 5 Paftinaca - 3 IQ Peziza - - 357 Phallus - - 357 Phafcum - - 35* Pilewort - - - 2 3 8 PUularia - - * 349 Pimpinella - - 333 Plantago - ~ 3 2 7 Plantain - - 3 2 7 Pliny - - 219 Polygala - - - Poly podium - 34^ Polytrichum - 35 2 Poplar - - - 2 45 Populus - 244 Potentilla - - - - 277 Primrofe . - . 248 Primula % .....; - - 248 Privet - - . ? - 290 Prunus - ' 243 Pteris - - 347 R Ragwort - - Ranunculus - Ray, hisfyftem Riccia r: - 354 Rofa - - 286 Rubus - - - 3U Sage, INDEX. 373 Sage, wild -. 295 St. John's wort ,, 328 Salvia . 293 Sauce-alone 262 Saw-wort . 303 Saxifrage . 2 33 Scandix . 278 Serratula 303 Scabiofa - 313 Sibthorp, Dr. 319 Sinapis 259 Sloe r 244 Sowbane 240 Spirsea 341 Splachnutn . 352 Sphagnum 350 Spleenwort 346 Stone parfley 331 Serpyllum = 283 Syftems of botany . . 221 Syftem, fexual 307 Succory 296 Sambucus 274 T Tanfey, wild 277 Tare : * 264 Targionia - 353 Tafwell, the actor 271 Teafel 316 Tongue, adder's 346 Theophraftus 218 Thefium 284 linophyl * 333 Thiftle, cotton 203 Thiaie, 374 INDEX, Thiflle, -curled . 329 . lady's . . 30$ . marfh . . 342 fpear - 303 . . woolly headed 324 Thorn, black . 244 Thymus 282 Tilia 309 Toadflax, baft and 334 Toadflax . . 284 Tournefort, fyftem _ 222 Tremella _. . , 354 Trichomanes 349 Trefoil, birds foot 286 U Venus-comb 278 Verbal cum - 303 Verbena - . 319 Veronica - 292 Vervain 3 1 9 Vetch 294 Viburnum 286 Vicia 264, Viola 239 Violet 249 Ulva 355 W Weed, filver 277 ERRATA. age 3. line 1 1 . for Arithmaticicm, read Arithmetician. P. 20. 1. 2. for difcrETninativti) read dif crimination. P. 128. 1. ic. for inqui/itely, read inquijitively* P. 136. 1. 26. for ///m, read pilot. P. 137. 1. 7. for pilate, read ///?/. P. 139. 1. 25. Ullyjfisy read Ulyfles. P. 128. 1. u!t. for turned^ read |fW. P. 218. 1. 8. for Sal-vitur, read Sohitur. P. 222. l.g. after founded, read o. P. 227. 1. 23. for PALYADEL . P. read POLYAOELPHIA. P. 258. 1. 24. for bilum, read Vegetabilium. P. 273.!. I 3. for macalatum, read maculatum. P. 274. 1. 15. for rcb:ntem t read rubtntem. P. 277. 1. 23. for ivith, read ivitbout. P. 286, 1. 26. for furbnlar, read tubular. P. 301. 1. 15. after tar/ry, readfl^/. P. 304. 1. 13. for with, read ivitbout. P. 306. I. 2. for turbitlar, read tubular. P. 341. in the margin, for Sj-ir,** read Epilobium. SOUTHERN REGIONAL LIBRARY FACILITY 405 Hilgard Avenue, Los Angeles, CA 90024-1388 " (material tothe library i it was borrowed. Univers Sout Lib