oo = ‘we ** _ . ~ 4 * Vt a Yon Oy TRANSACTIONS Of 7) Fk ROYAL IRISH ACADEMY. VOL. VI Bo Be ae a: GEORGE BONHAM, PRINTER TO THE ROYAL IRISH ACADEMY, —_—_—__—_—_—_—_ De it Ww. F rs ; ~~ £ (XMAGADA VMTCAD A MAH Rat APRS: RST Ae THE ACADEMY dere it to be underflood, that, as a ‘body, they are not anfwerable for any opinion, reprefentation of Saas, or train of reafoning, which may appear in the following papers. The authors of the feveral effays are alone réefponlible for their contents, E Science. Page 52, Line Page 53, Line Page 58, Line Page 63, Line Page 147, Line Page 179, Line Page 133, Line Page 201, Line Page 203, Line Page 206, Line Page 225, Line Page 226, Line Page 273, Line Page 297, Line Page 306, Line Page 307, Line Page 321, Line RE: RH ease nanan 2 15, for teem, read feems. 11, for thefe, read thofe. 18, for complaints, read complains. 5, for there, read their. 6, for lighter, read greater. 13, for did not only, read did not not only. 14, for and the direét or, read either direé@tly, or in the. 3, for L’, read L. 12, for for, read from. 17, for 1%, read 12H. 22, for plus, read minus. 16, for VA aa—ay, read WV at§——ay. 11, for degrees, read feconds, 13, for colloéts, read collects. 8, for be, read been. 12, for Lava, read Lavas. 2, for 1785, read 1795. Page 344, Note, Line 6, de/e to, Page 365, Line 7, for moft and fooneft, read more ant fooner. Poxite Literature. Page 14, Line 15, for in Fables, read in the Fables. Page 16, Line the 3d from the bottom, for Eumieus, read Eumzus. Page 29, Line 12, for predifpofes, read predifpofe. Page 33, Line 16, for it, read they. Page 63, Line , Line Page 48, Line ANTIQUITIES. 3, for then, read thus. 7, for 1788, read 1688. 5, for corponding, read correfponding. Page 3c, Line 19, for Duke of Bedford, read the Duke of Bedford. ant erry Wat “ont eee) Sarat ne Pa _asletyenen Hy ; ‘yl 100 108 ae itn wiv otf amie peer Ny M sity fae : Oa ins his ts ae % ? ik th ins he mate eA) Seat Ae 3 ge se ye yar f a mee? srs mer a ee ‘ Ae rh eae © le a i ai elk eres ne Seale Sa (4 aeeit Sse DE Be OMS, T+ Be 1. REMARKS on the Caufes and Cure of fome Difeafes of ' Infancy. By Fofeph Clarke, M. D. Licentiate in Phyfic of the Royal College of Phyficians in Dublin, and M. R.I. A. - Il. A Memoir on the Con/truétion of Ships. By Sir George Shee, Bart. M.R.E A. - = = S III. Memoir on the Climate of Ireland.. By the Reverend William Hamilton, of Fanet, in the County of Donegal ; late Fellow of Trinity College, Dublin, M.R.1I. A. Correfponding Member of the Royal Society of Edinburgh, &&c. - - IV. Hiftory of a Cafe in which very uncommon Worms were dif- charged from the Stomach ; with Obfervations thereon. By Samuel Crumpe, M.D. M. R.I. A, - - V. Effay on the beft Method of afcertaining the Areas of Countries of confiderable Extent. By the’ Rev. ames Whitelaw, Vicar of St. Catherine, Dublin, and M. R.I. A. - - VI. Three Schemes for conveying Intelligence to great Diftances by Signals. By Yohn Cooke, Efq; M.R. I. A. - 65 7 70 *A2 VII. Obfervations Gy Oo Ree EB Ne ae. VII. Objfervations on the Power of Painting to expres mixed Paffions. By the Rev. Michael Kearney, D. D. M.R.I. A. Page 87 VIII. An Effay on the Art of conveying fecret and Swift Intelligence. By Richard Lovell Edgeworth, Efq; F. R. 8. and M.R.I. A. 95 IX. Of the Compofition and Proportion of Carbon in Bitumens and Mineral Coal. By Richard Kirwan, Efq; L. L. D. F.R.S. and M.R.I. A. - - - - 141 X. Synoptical View of the State of the Weather in Dublin. By Richard Kirwan, Efq; L. L.D. F. R.S. and M. R.1. A, : 169 XI. Thoughts on Magnetifm. By Richard Kirwan, E/q; L. L. D. F.R.S.and M.R.1. A. . - - - 177 XII. On the Method of determining the Longitude, by Ob/ervations of the Meridian Paffages of the Moon and a Star made at two Places. By the Rev. ames Archibald Hamilton, D. D. Profefor of Aftronomy at Armagh - : 193 XII. On the Method of taking Radicals out of Equations. By Mr. D. Mooney, A. B. Trinity College, Dublin. Communicated by Whitley Stokes, M. D. F.T.C. D. and M. R.I. A. = 221 XIV. On the primitive State of the Globe and its futfequent Cataftrophe. By Richard Kirwan, Efg; L. L. D. F. R. S. and M.R.1 A. - - - < 3 233 XV. Synoptical View of the State of the Weather in the Year 1796. By Richard Kirwan, Efq; L. L. D. F. R. S. and M. R. I. A. - a 5 309 XVI. Supplement to Mr. Edgeworth’s Effay upon the Telegraph - 313 XVII. A Def- Sree et ry OMB ON ood“ S, XVIL. A Defcription of an Air-pump of a new Conftrudtion, with an Account of its Performance, and of fome Experiments and Obfervations tending to afcertain the Circumftances on which the Perfection of that Machine depends, and to render its Theory more compleat. By the Rev. ‘fames Little, of Lacken, in the County of Mayo - = . - XVIII. On the Application of a Converging Series to the Con- Srruttion of Logarithms.* By Mr. William Allman, A. B. Trinity College, Dublin - - . é, XIX. Synoptical View of the State of the Weather at Dublin in the Year 1797. By Richard Kirwan, Efq; L.L D. F.R.S. and M.R.I. A. - - 2 y Page 319 391 435 ae o oe Or eae oa? aS x a PERE sey . x“ = 7 Bia aeesy pe POLITE LITERATURE. Toh Or © ety We DER Diets » ines Gia I. Ss OME Hints concerning the State of Science at the Revival of Letters, grounded on a Paffage of Dante in his Inferno, Canto IV. v. 130. By the Right Honourable the Earl of Charlemont, Prefident of the Royal Irifo Academy, and F. R. S. Il. Reflections on the Choice of Subjects for Tragedy among the Greek Writers. By William Prefton, E/q; M. R. I. A. - Ill. An Effay on the Variations of Englifh Profe, from the Revolu- tion to the prefent Time. By Thomas Wallace, A. B. and M.R.1. A.; to which was adjudged the Gold Prize Medal propofed by the Royal Irifh Academy for the bet Effay on that Subject - - - - - IV. On the Poetical Charaéter of Doctor Goldfmith, By the Rev. Archdeacon Burrowes, late Fellow of Trinity College, Dublin, and M. R. 1. A. - = - *( A2) Page 3 7t pe te ii Bets ook, bare Pon PG cy Peo Pe Po BS. USO PA Nb HIN CR ie 1. ALETTER from William Caulfield Lennon, Efq; to the Right Honourable the Earl of Charlemont, Prefident of the Royal Irifh Academy, Fc. Fc. Se. - Page 3 Il. An Account of fome Manufcript Papers which belonged to Sir Philip Hoby, Knight, who filied feveral important Offices in the Reign of King Edward the Sixth, and which are at prefent the Property of William Hare, Efq; one of the Reprefentatives in Parliament for the City of Cork ; by the Reverend Mr. Hinckes of Cork, communicated by the Prefident - - 7 Il. Account of four Circular Plates of Gold found in Ireland. By Ralph Oufley, M.R. 1. A. - 2 P 31 *T A] bie 4 r Pia ey ; Ae — 2 a seem wove. nit sosnemaerseeonedanatein i be PALS? F . : shi & we Set hai 5 at hace" OO ee i, foie RRR’ faba Sat 5 wale i +a ett w8 ee eee Al os BYGC neo ia a) Leeper GOAN ee, wae otal. AWS. rant i Lae Od ee eae gna ay. sit “s ‘ A & aa-t} ) _— > Sache wa. ee c AS. when ap ¥. By ‘a a. Vi eae SE REMARKS on the. CAUSES and CURE of /ome DISEASES of INFANCY. 4y JOSEPH CLARKE, M.D. Licentiate in Phyfic of the Royal College of Phyjficians in Dublin, and M. R. 1. A. eee Ir is now near feven years fince an eflay of mine was read before this Academy, on the properties of human milk, the changes it undergoes in digeftion, and the difeafes fuppofed to originate from this fource in infancy. A variety of facts and obfervations was then brought forward to render it probable that the caufes, commonly alleged by writers to produce moft of the difeafes of infants, are ill founded, nay, do not exift; and confequently that the remedies propofed for their eure moft often prove ineffe@tual. Since the above period my attention has been very much directed to this fubje@, and it is well known that my opportunities of expe- rience have not been inconfiderable ; and yet I every day feel more forcibly the evidence in favour of my former doubts. Once more, therefore, I am tempted to folicit attention to A 2 this Read July 6, 1793: L al this fubje&, by fubmitting the following remarks, however curfory and imperfect, to public confideration: They relate principally to four difeafes, viz. I, Diarrhcea, accompanied with much griping and green ftools. II. Obftinate coftivenefs. III. Nine day fits, or convulfions in early infancy. IV. Cutaneous eruptions. As it can be of no ufe to repeat what preceding writers have faid on thefe fubjects, I fhall confine myfelf to fuch remarks as are not commonly to be met with in print. In the eflay above mentioned * I endeavoured to prove that green ftools in infancy are not to be confidered as fure figns of the exiftence of a fuperabundant acid in the ftomach and inteftines ; at that time I was totally ignorant of their nature. An accident firft fuggefted to me new ideas on this fubject, A lady of very acute talents took it into her head that the milk of a nurfe in her fervice did not agree with her infant. One night this infant, after fuffering a great deal of griping, paffled a remarkably green ftool, which the mother confidered as * See Tranfactions of the Royal Irifh Academy for the year 1788. rs i as a decifive proof that nurfe’s milk turned four in her child’s ftomach, and of courfe muft difagree with it. The cloth on which this ftool was received happened to be thrown into a corner of the room, where it lay ‘till next morning, when nurfe, to her great furprize, found it had changed the green for a natural yellow colour. The miftrefs fufpected mifrepre- fentation on the part of the nurfe, and I was fent for to decide between them. Not knowing well how to give a fatis- factory determination, I begged of the lady to fufpend her judgment, and to remark particularly whether in future fuch changes, as nurfe defcribed, would happen. She made the experiment repeatedly with great care, and uniformly found that the green colour changed to a yellow by time, and perhaps by being diffafed on the cloth, A very particular attention to this cafe led me ftrongly to fufpect that green tools in infancy (which medical writers have long imputed to predominant acidity) are often really of a bilious nature. The inefficacy of abforbent medicines to correct them, joined to fome other confiderations to be hereafter noticed, ferved ftill farther to confirm my fufpicions, Impreffed ftrongly with thefe ideas, I determined to deviate from common prac- tice, by having recourfe to the ufe of calomel, one of the few remedies which experience has found powerfully to influ- ence the biliary fecretion in adults. It anfwered my expec- tations fo well then, and in many fimilar inftances fince, that I am perfuaded it may be of fome utility briefly to, ftate the refult of my obfervations refpecting it. As [[. 4 As very green {tools are generally preceded by and accom- panied with a great deal of griping and diftrefs to the infant, they feem to me to indicate unufual acrimony in the bile, and probably fome degree of depraved fecretion in the liver. Sometimes this morbid tendency is of fhort duration, fome- times it continues troublefome for weeks. In the former cafes, caftor oil in moderate quantity will be found a good remedy; it evacuates fpeedily the contents of the bowels, and at the fame time fheaths the infide of the inteftinal canal againft their acrimony. In the more obftinate cafes, where oil only affords temporary relief, calomel is the only remedy I have found to produce permanent good effects. I am inclined to think it operates not merely by evacuating, but by correcting that tendency to depraved fecretion which in bad cafes pro- bably exifts, To infants under fix months old I generally begin with half-grain dofes, given at bed time, rubbed into a powder, with a little white fugar. If this quantity do not procure two or three motions in the courfe of the following day, the dofe may be increafed to three-quarters of a grain, or even a grain. It may be repeated in this manner every night, or every fecond night, according to the degree of diftrefs and ftrength of the patient, until the ftools aflume a natural appearance. This they feldom fail to do in a week or two, and then all griping and uneafinefs ceafe. It will rarely be neceflary to give more than from four to cight grains of calomel on fuch occafions, and I can with the utmoft confidence affert that I have never known it to do any mifchief, and very feldom to fail of producing the defired effects. Nor is it any objection Eh a objection to the ufe of this medicine, that the patient labours under fome degree of diarrhoea; the acrimony of the ftools not unfrequently excites frequent and ineffeétual efforts, which are to be removed only by a removal of the exciting caufe. If abforbents poffefs any power in fuch cafes, they owe it to their combination either with laxatives, effential oils, or dif- tilled waters; and even with thefe aids I have commonly found them to afford but temporary eafe. Tuat infants fhould be particularly liable to diforder in the biliary fecretion can hardly appear furprifing, when it is confidered that in them the liver bears a much larger propor- tion to the weight of the body than in adults: This increafed fize of the liver, like that of the heart, probably diminifhes gradually as the body advances towards maturity. The effects of this peculiarity, of ftructure of infants, are ftrongly mani- felted in moft cafes even after birth: although it be a com- mon practice to keep their bowels difcharging freely, and though their ftools be evidently loaded with bile, yet during the firft week few infants efcape fome degree of jaundice (commonly called Yellow Gum). Thefe facts prove a very copious fecretion and excretion of bile at an early period, when the uncommon fize of the liver is indifputable; it ap- peats to me probable that the fame tendency to copious fecretion muft continue, in fome degree, through infancy and childhood until this vifcus be reduced to its ordinary fize. Medical practitioners have long remarked that well-prepared calomel agrees fingularly well with the conftitution of children in ek in all thofe difeafes wherein they have thought it prudent to employ it. Do not the peculiarities of ftruéture above noticed afford fome explanation of this fact? The power of calomel in correcting green ftools, and the uneafinefs accompanying them, is a fact which I hope will be admitted by all acs tan who give it a fair trial. StncE the above remarks were written I have met with two or three cafes of violent bilious vomitings and cholics in in- fants, which were effectually relieved by much greater quan- tities of calomel than what I have ftated above. To what extent it may be pufhed in very bad cafes my experience does not yet enable me to determine. Of obftinate Coftivene/s. EvERY one, acquainted with the conftitution of infants, knows that it is natural to them to have three or four ftools every twenty-four hours; and that without fuch difcharges they feldom enjoy perfect health. A few inftances occur in practice where the inteftines of infants never difcharge their contents unlefs irritated by fome kind of phyfic. I have met with a good many fuch cafes, and after trying all the ordinary laxative medicines I could not fay that any of them was enti- tled to a preference. The effects of all were temporary only. An ingenious friend and correfpondent in London firft fug- gefted to me a trial of calomel in fuch obftinate cafes. On his authority I have repeatedly had recourfe to it, and feldom without a ae without the beft effeéts. Whether it operates by promoting a flow of bile and other fecreted fluids into the inteftinal canal, on which the ftools of infants, from the nature of their food, muft very much depend; or by exciting, in a peculiar manner, the irritability of the nerves beftowed on the inteftines, I fhall not pretend to decide. Of Convulfions in early Infancy. In the Tranfactions of this Academy for the year 1789 I have given an account of the nine day fits, as they had been obferved in the Lying-ip Hofpital of this city, and of certain modes of prevention which then appeared to have produced good effeéts, and which I am happy to add ftill continue to do fox. Of methods of cure I was on that occafion filent, becaufe no remedy had then been difcovered even to retard the pro- grefs of that very fatal difeafe. About two years ago I was called in confultation to a cafe of nine day fits, which appeared hopelefs both to the attending phyfician and myfelf. As an experiment I propofed a grain of calomel to be given night and morning, knowing it to be well calculated to remove dif- Vor. VI. B eafe * This affertion will be beft underftood by ftating the following facts: Previous to the year 1782 the mortality of infants was one in fix, or feventeen in the hun- dred. From 1782 ’till 1788, a period of four years, it was one in nineteen, or from five to fix in the hundred. During the laft four years it has been nearly as one to twenty-fix and a half, not altogether four in the hundred. [See an abftraét of the regiftry kept in the Lying-in Hofpital, and annually publifhed by Mr. B. Higgins.] Bae eafe in the bowels, if fuch exifted, and a blifter to the fonta- nelle to relieve any fulnefs which might opprefs the brain. By the ufe of thefe remedies, and of tepid bathing, the infant recovered., As blifters and tepid bathing fo often fail in curing this difeafe, I was inclined to attribute much of our fuccefs to the calomel, and therefore I introduced the ufe of it in a fimilar manner into the Lying-in Hofpital; and although I cannot fay it adtually cured one, yet it certainly afforded more obvious relief than any remedy hitherto tried. Several infants, whom the moft experienced nurfe-tenders apprehended to be ferioufly threatened, efcaped the difeafe; and it evidently mitigated the feverity of fymptoms in fome defperate cafes. Whether, in a pure atmofphere, and fituations otherwife more favourable for the exhibition of powerful remedies, it may be found to pro- duce better effects, I propofe as a quere, to be determined by future obfervation? In the courfe of laft month I was fo fortu- nate in private practice as to remove convulfions in an infant of three weeks old, by calomel and bliftering, as above defcribed, without the ufe of any other remedy*. Cutaneous Eruptions. Ir is a fingular fad that infants on the breaft are very fubject to cutaneous eruptions of the herpetic kind, which in adults are * Since this paper was firft read to the Academy, which is near two years ago, I think Ihave been {till more fuccefsful in the treatment of the foregoing omplaints, by adding to each dofe of calomel a grain or two of feammony or jalap, fo as to render it more certainly and brifkly purgative. une 1795. fas are commonly fuppofed to originate from acrimony in the fluids. It is not eafy to conceive how acrimony is fo. fre- quently generated in the blood of infants, nourifhed by the mildeft of all fluids. It is a vulgar fuppofition that thefe dif- eafes are often occafioned by improprieties in the diet and conduct of hireling nurfes; but they often happen to infants fuckled by the mother, where no fufpicion of impropriety can be entertained: nay, the fame tendency is obferved in infants fed on fpoon meat. I have been frequently tempted to think that mature intended fuch eruptions to carry off fuperfluous or redundant fluids from the conftitution of infants ; hence, per- haps, it is that they are moft frequently to be met with among large infants, of a full habit. Viewing the fubje&t in this light, one would be naturally inclined to encourage the dif- charge from fuch eruptions; with me foap and water is a favourite application; by wafhing off filth, which obftructs the pares, it allows a free exit both to perfpiration and to the difcharge from the ulcerated parts; it alleviates the itch- ing, which is not only very troublefome, but abfolutely injurious to the infant’s health, by interrupting its fleep, All ointments and greafy applications, having a contrary tendency to foap and water, feem to me objectionable. By difcharging freely, the cutaneous complaints under confideration often run their courfe with fafety in a few weeks, and the patient is reftored to health without the ufe of any internal medi- cine. When, however, the general health feems to be impaired, and the violence of fymptoms renders medicine neceflary, I have not found any remedy to be put in competition with B 2 calomel,, [ calomel, given in the fame manner as for correcting griping and green ftools. ALTHOUGH not immediately connected with my prefent fub- jet, it may not be altogether ufelefs to remark, that along with an herpetic eruption on infants there is fometimes a mixture of itch which creates a very troublefome difeafe, and one very liable to be mifunderftood. It is principally by ap- pearances on the nurfe that the exiftence of itch on the infant can be difcovered.. Herpes on the infant we know generally brings out fome eruption on the nurfe, but on accurate ex- amination this will be found very different in its progrefs and effets from itch. The mode of curing itch in adults, when difcovered, is now well afcertained; but there is great reafon to doubt whether the fame treatment be fafely applicable to infants, and efpecially when itch is combined with herpes. Coughs of a very dangerous tendency have been obferved to arife after the application of fulphur ointment to infants, Fortunately there is no abfolute neceflity for its ufe. Com- mon ftick brimftone, bruifed and boiled for fome time in water, gives a fulphureous impregnation, which ufed as a tepid bath every night at bed time feldom fails to cure the itch in infants in a few weeks, without any rifk of obftru@ting the pores of the fkin, or of repreffing too much the herpetic erup- tion. In all fuch cafes it is prudent to make the nurfe rub the eruption on her with fulphur ointment, while.at the fame time fhe takes flour of fulphur and magnefia internally, fo as to keep the bowels moderately open. The infant fhould alfo tas] alfo fleep in the fame bed with the nurfe during this operation. I wave thus fketched, in a hafty manner, the outline of what accident and fome reflection have fuggefted to me on a few fubjects, in my opinion not perfectly underftood. To thofe who know me, hurry of bufinefs (in an irregular and fatiguing profeffion) will apologize for many defets. The points in doubt regard a numerous clafs of the innocent and helplefs in the community, who, when fick, are too frequently entrufted to the care of prejudiced old women, or of men not much better qualified to practice phyfic. I, therefore, entreat gentle- men to enter difpaflionately into the inveftigation of the doubts here fubmitted to their confideration. The alleviation of pain, and the prolongation of human life, at a period of its greateft frailty, are objects furely not beneath the notice of any man; and as I pretend not to infallibility, the reader may be aflured I feel as much interefted on this occafion to have error de- tefled as to have truth conjirmed. ‘ae maniuh plita.- : poe eens ~ is nar no oy ¢ : : ‘ , 4 r+ % ‘bead stile are e * Baisrgine?. Von sali: 397 cw Hi), ae ak camiog? fT afisisb earner C a i, ni felgld-bac socom ort e - ane “bettie conaupzi 1 903 o¥8 ak i su 3 yn t as Hour SOc, S130 Yo. : (a) » ALO, * S ciiadg sbatia ety: a a a | aK ae oF, 5, : wee cM. ates ¢ er: : ss ¥ ¢ i ap penig a7 eh: ? hone si ‘ ha Scat ‘ ‘ > * ak ah “ , 4 ‘ot Bes MG4 “7 ep Ase ) a era el Pras de ui i > ae aS Le ’ Sib A MEMOIR -on the CONSTRUCTION of SHIPS. By Sir GEORGE SHEE, Bart. M.R.L A. ALLow me to fubmit to you a few thoughts on fhip- building ; a fubject which, from its national importance, would feem to claim the attention of the moft enlightened, but which has heretofore been confidered by few, except mere mechanics. My motive for addrefling you is to promote the public good ; and as the remarks I fhall make are more the refult of ob- {ervation and experiment than of fcientific refearch, I am per- fuaded you will judge them with indulgence. I fhould not indeed hazard them but upon the idea that great improvements in the arts have been fuggefted by perfons who were not artifts, and that objeéts may fometimes prefent themfelves in a more clear point of view to unprejudiced minds, than to minds much more informed when biafled by predilection for eftablifhed fyftems. I was firft led to fufpect that the conftruction of fhips built in Europe admitted of improvement, by obferving that vellels Read Nov. 1, 1794- Le veflels employed on the river Ganges, and on different coafts of India, carried great burdens in proportion to their dimen- fions; and on examining them I found that, however widely they differed from each other in appearance, great expanfion was common to them all. In order to afcertain their propor- tions I had exact models made of feveral of them, which I fhall be happy to fubmit to the infpection of your Society. The veflels of the Ganges, it is true, being conftructed to move at times in fhallow water, were not I found well cal- culated to fail near the wind; but this defe€&t I knew could be remedied ; and it was fufficient for my purpofe to afcer- tain the fa&, that, when even heavily laden, they could be moved with greater velocity than veflels on the European con- ftruction, of the fame burden, could be by an equal impulfe with ballaft only on board. Tue opinion I had thus formed was ftrengthened in the courfe of a voyage from Bengal to England. Obferving that the Rodney, a Company’s fhip, which I was on board of, appeared longer and failed fafter than other Indiamen, I made inquiry as to her conftruction, and was informed that, on laying her keel, fhe had been intended for a fhip of much more confi- derable burden, but that, owing to a temporary fcarcity of timber, all her dimenfions had been abridged, except that her length was fuffered to remain, and confequently to exceed by fome feet the ufual proportion. On our arrival in the channel, with the wind about a point before the beam, we overtook a fleet of Weft Indiamen, and we outfailed them with fuch facility Prag. A facility that they might almoft have been fuppofed water- logged. ie Tuese obfervations, with many others, led me to beftow more attention than I had before paid to an examination of the mechanical principles applied to the building of {hips ; and the more I extended my inquiries, the more I was con- vinced that their conftruction was defective: Had, however, my conclufions not been ftrengthened by previous obfervation, I fhould not have obtruded them on your attention; for I am myfelf fo much an infidel in theoretic fyftems in general, that I offer confiderable violence to my mind whenever I fubf{cribe to their truth, unlefs confirmed by fomething like experimental proof; and [I fhould not therefore expect from others much attention to remarks merely theoretic. A cuLarineG defect in fhips employed in tranfporting mer- chandize is, that they draw too much water, or are conftructed too deep. It is well known that every floating body propelled, muft, in its progrefs, difplace a body of water equal in weight to itfelf, and in bulk to the part of it fituated below the furface ; and that this operation muft be repeated fo often as the body moved advances a diftance equal to its own length. Now as the line of leaft refiftance from the water difplaced is upwards, it follows that the force neceffary for its removal muft be great in proportion to the diftance of any part of it from the furface, and hence arifes the facility with which veflels drawing little water are moved, even when the burden they carry is confiderable. Vou. VI. Cc ANOTHER Geers ANoTueR defeét in merchant veffels is, that they are too fhort. The progrefs of a fhip that wants length is impeded by perpetual afcent and defcent, even in water but moderately agitated ; while one that has it proceeds with little more than dire@ motion. But this is not the only objection to want of length :—The tendency of the upper fails of a fhip is, not only to propel horizontally, but, in a very. confiderable degree, to prefs down the head and elevate the ftern, as will appear evident when it is confidered that the maft is aéted upon as a lever, the upper deck is the fulcrum, and the parts above and below it the two arms. Now the action of the wind that fills the upper fails is nearly upon the point of the long arm, and the degree of refiftance to the deprefling force fo caufed is determined by the length of the line from one extreme horizontal point of the fhip to the other; when therefore this line is fhort, in proportion to the height of the maft, the effect is not only evident in a high or ripling fea, with the wind fair and ftrong, but even in fmooth water, the veflel, particularly if fmall, proceeds with evident deviation from the horizontal pofition which her hull is intended to preferve, as well when in motion as at anchor; and by this means the points of direct refiftance are multiplied, as the height of the frothy wave at the bows of fuch veffels in their progrefs, or the difproportion of that wave to their velocity, fhape and fize, evidently fhews. A tTurrp defect too, not lefs ftriking than thefe, is that the veffels I mention are too narrow. A few feet of length add Me eae add little to the fize of fhips as to burden, but a fingle foot in breadth increafes prodigioufly their capacity to fuftain weight. The fhape of merchant veffels in general may be faid, from its tendency, to refemble an extended wedge perpendicularly placed; every ton additional weight preffes them down confi- derably, and from the practice of overloading them, in order to proportion their burden to their failing charges and _ ori- ginal coft, they commonly proceed on a voyage almoft buried in the water. To this circumftance alone the lofs of numbers of them may be afcribed; for a captain muft be politive that the danger is exceflive before he can’ hold himfelf juftified in attempting to lighten the fhip; and in fituations the moft perilous this is often found impracticable, - Tue remedy for thefe defeéts is eafily ftated, but the prac- ticability of applying it requires explanation, as inveterate prejudices in the minds of fhip builders are to be oppofed, and ftrong prepofleflions, in the minds even of men of fcience who | have thought mechanics deferving their attention, to be com- bated. To give fhips great horizontal expanfion, in proportion to their depth, which I conceive effential to the perfection of their form, the conftruction of their hulls, in other refpeéts, muft undergo a change. The bow and the fide are, or rather ought to be, conftructed upon principles direétly oppofite. The one is to break through the water, the other to refift all force that gives the body of the veffel a difpofition to lee-way. The per- C2 fection fs 28-74 fettion of the former is to have as few points of direé& refiftance as poflible, thar of the latter, it would feem, to pre- fent as many; muft it not then, to an unprejudiced obferver, appear extraordinary that both parts fhould be compofed of fegments of circles, fcarcely a fuperficial {quare foot of the largeft fhip’s fide, below the water mark, lying perpendicular to horizontal preffure. ‘The keel, in fact, with fome fmall ex- tent of plain immediately above it fpringing from the bottom, are trufted to for refiftance, and thefe are in moft cafes infuf- ficient, few veffels, except frigates and others of extraordinary length, being found to fail well upon a wind. AN argument univerfally ufed by feamen and fhip-builders, in fupport of the prefent conftruction as to depth, is, that what they technically call “ a gripe of the water below the power “ of the furge, driven to leeward.—As this argument, if found, ftrikes directly ” is effential in preventing veflels from being at the root of any improved fyftem founded on expanfion, it is neceflary that it fhould nos remain unanfwered. A cripe below the influence of the furge, if it mean any thing, implies refiftance to the force of waves beating againft a fhip’s fide. Now fuppofing this refiftance poflible, the firft high fea that fhould ftrike her on the beam, in a gale of wind, would inevitably either overfet her or deftroy her by forcing in her fide; the fecurity therefore of fhips, in numberlefs cafes that conftantly occur, depends on their yielding to the force of waves. Admitting however, for argument-fake, that, in ftorms, the [ at ] the dexterity of feamen may prevent a fhip from being ex- pofed to the violence of the fea upon her broad fide, let us fee how, in moderate weather, the deep gripe can operate. Waves, I believe, are not thought to run very high when they rife from fix to ten feet above the water level; that is from twelve to twenty above the trough of the fea :—there are few fhips whofe draught of water exceeds twenty ; is it not evident then, that through all gradations of fize, veflels, even on their prefent conftruction, are in general completely expofed to the power of the furge. Bur, as experiment fuperfedes argument, any perfon in whofe mind doubts exift upon this fubjet, may fatisfy himfelf by viewing a {mall cutter, when failing upon a wind, in company with large fhips; or by obferving a wherry, which draws {till lefs water, working to windward: Nay, even a fhip’s long-boat, the moft flat of all fea veffels, may ferve to convince him that he may difmifs thofe doubts without running much rifk of falling into error, and fatisfy him that, provided a veflel have hold of the water proportionate to her fize, it is of little mo- ment whether the gripe be near to or remote from the fur- face. Tue improvements then which [ beg leave to recommend in the conftruction of merchant veflels are, an increafe of their horizontal, and a reduction of their perpendicular dimenfions, which will correct the three defects I have pointed out; alfo the [22 ] the alreration in the fhape of their fides and bows, which I have already faid is neceflary, in order to render thefe improve- , ments practicable. Were the length of the keel even fo far extended as that it fhould reach two perpendicular lines dropped from the ex- treme points of a fhip’s upper deck, the increafe of gripe would be prodigious, and the additional expenfe trifling. A fheer or projection abaft is unqueftionably beautiful ; but it is of no ufe, and the eye would foon become reconciled to an upright ftern. The fheer, however, might be given with any length of keel, where expenfe fhould be difregarded, unlefs it fhould be thought, which Iam rather inclined to believe, that a very long veflel would be weakened by it, for the ftrain upon a fhip’s centre is in fact refitted more by the binding of her upper planks and timbers than by the ftrength of her keel. The expenfe of this increafe of length, together with that attending the increafed breadth of the veffel, would nearly be paid by the faving caufed by the reduction of her depth. Tue alteration in the form of the fides and bows needs a few words more of explanation. Tue effect to be expected from a flat fide is exemplified in an ingenious contrivance ufed to fupply want of depth in Dutch veflels of various defcriptions ; and I cannot give a more correct idea of the improvement in this refpect I with to recommend, than by faying that the fide of a fhip, below the water pas] water level, or a part of it-at leatt, ought to refemble a Jee board of confiderable extent. By means of this board many Dutch merchant veflels, notwithftanding they are conftruéted with a floor almoft flat to fit them for great burden and fhallow water, are found to fail tolerably well upon a wind, and yet they are in general fhort, with bluff upright bows, and many other defects. Durcu fifhing veflels too, particularly thofe employed in great numbers on the coaft of England, are rendered by the ufe of a lee board good failers. Not being intended for burden they do not in general much exceed boat fize; and although they are the moft flat of all decked veflels I have feen, their fecurity in blowing weather is proverbial. Now in refpeé to the bows of merchant fhips, I will only obferve, that although they flope off tolerably- well when veffels are light, they prefent, when laden, fuch refiftance to head way as can fcarcely be overcome by any preflure of fail. The evident remedy is to render them lefs upright; expanfion in them, although abfolutely neceffary above the water level, being quite ufelefs below it. By adopting thefe improvements I am perfuaded that the fame quantity of timber and other materials now employed in building a merchant veffel of one hundred tons burden, would ferve to form one capable of carrying at leaft one hundred and thirty, and that the velocity gained would rather. exceed this f 24+] this proportion. The advantage of performing three voyages in the ufual time of two, or even fuppofe five in the time of four, need not be ftated; nor need that which would refult, in the feafon of tempeft, from reducing the length of time in which fhips are expofed to danger, or in time of war from rendering them capable of evading purfuit. Tue conftruGtion of veffels employed in carrying mails be- tween Dublin and Holyhead I conceive to be nearly as defective as that of merchant fhips, which their hulls in a great mea- fure refemble, although they are built exprefsly for fpeed and accommodation, and not burden. But indeed burden they do carry; for, from their deep form, they require an abfolute loading of ballaft to prevent them from overfetting; and their draught of water is fuch, although fmall veflels, that they can float on the Dublin Bar only at a particular time of tide, by which fair winds are frequently mifled, and the paflage from England unneceflarily prolonged. From their want of length and exceflive depth they are fuch flow failers, that the Favourite, a light long veflel, fitted out by private individuals, has made her paflage to Holyhead in nine hours, when two packets, which weighed anchor when fhe did, took twelve to perform theirs. ’ In determining the moft proper conftruction for thefe, or indeed any other fea veffels, it fhould be confidered that the greater the length the lefs depth will be neceflary to prevent lee way; and that the greater the breadth, the more fail may be rage | be carried, and the lefs ballaft required. Weight it is true does not operate exactly upon fhips as burden does upon ani- mals; its fituation, as I have already faid, determining in a great meafure the refiftance to velocity it caufes; but that its operation is confiderable cannot I believe be doubted. In fhort, Tam, perfuaded that packet veflels. might be conftructed on a principle fo light, that they might pafs the Dublin Bar at any time of tide, fo fpeedy, that they would commonly perform their voyage in three-fourths or perhaps two-thirds of the time thofe in ufe now employ; and at the fame time that they: would, if poffible, be more fafe, and certainly much more commodious, their building and failing charges. would not be: more confiderable.. To determine the exact extent to which the improvements; I recommend can, im general, be practically applied, is not my prefent. object. I only mean to fuggeft hints which, if thought deferving of the trouble, may eafily be thrown into. regular fyftem; and I will clofe an addrefs, imperceptibly ex- teaded beyond. its intended limits, with a word. on fhips of war. SHoutv thefe improvements prove founded’ on true prin- ciples of naval architecture, their application may certainly be extended to the conftruction of frigates and all other King’s fhips carrying one tier of guns only; but that thofe of two and three tier can, in an equal degree, be improved, is an affertion I will not hazard. The effect of the weight the latter carry. above water muft be counteracted by a proportionate Vou. VI. . D weight [ 26 ] weight below it, and it is poffible that an increafe of their horizontal expanfion would be unfafe, confidering that timber beyond the prefent dimenfions cannot well be procured. Deter- minate flatnefs of fide, however, for fome diftance below the furface of the water, would aid very confiderably in refifting the effet of a fide wind on fo prodigious a furface as their hulls prefent above water, and even a very trifling addition to their breadth of beam would probably enable them to carry their guns better than they now do in a high fea, and render fome redudtion of their draught of water practicable. Tuat light frigates might be made capable of receiving as great velocity from a moderate breeze as is now given them by a ftrong wind, is a truth lam perfuaded of; and that the utmoft velocity any veffels are capable of is not yet attained in the European feas, is a fact that will not be doubted by any perfon who credits the well authenticated accounts given of flying prows. The form of thefe veffels it is true unfits them for any other fea but that in the latitude of the Ladrone Iflands, but ufeful hints may notwithftanding be taken from their conftruction, MEMOIR on the CLIMATE of IRELAND. By the Rev. WILLIAM HAMILTON, of Fanet, in the County of Donegal; late Fellow. of Trinity Couiece, Dublin, M. RL. A.» Correfponding Member of the Royal Society of Edinburgh, &c. Ir is generally fuppofed that the feafons, in our ifland, have fuffered a confiderable change, almoft within the memory of the prefent generation. The Winters of our climate are faid to have laid afide their ancient horrors, and frequently to have affumed the mildnefs and vegetative powers of Spring; while Summer is reprefented as lefs favourable than heretofore ; lefs genial in promoting vegetation, and lefs vigorous in forwarding the fruits of the earth to maturity. Ir is indeed true that, in this inftance, popular opinion does _not ftand fupported by the concurrent teftimony of meteorological obfervations: There is no clear evidence derivable from them, that the prefent feafons are materially different from- former ones; D 2 and! Read Dec..6, 1794: { 28 J] and therefore philofophers and meteorologifts naturally afcribe to the querulous difpofition of the farmer the chill fenfations of old age, or the predile€@tion which every one feels for the chear-- ful days of childhood, the adoption of an opinion that feems fo eafily to flow from thefe fources. Bur let it be remembered that the inftruments of atmofpherical obfervations do not extend to a// the circumftancés, which influence the cfops of the farmer, or the fenfations of the man. The ther- mometer may mark the general temperature of our climate as unchangeable; and the pluviometer may afcertain its ufual moif- ture; whilft a clouded atmofphete, or“a “‘tempeftuous wind, fhall mar the progreflive maturity of harveft, and fhatter the languid frame of declining age. Hear and cold, and rains, are indeed principals in the céconomy of feafons; but winds, clouds, vapours, and other cireumftances rarely regiftered, often unperceived, are to be deemed at leaft ancillary in the extenfive fyftem; and may give plaufibility to popular fenfations and opinions, even without the aid of meteoro- logical teftimony. Ir is the purpofe of this paper to offer to the Academy fome obfervations relating to this interefting fubje@t; and to mark a few prominent events in the phenomena of our climate, which may add credibility to general report. Of [ 29 J Of the Winds and their Effetts. Tus winds, which moft ufually prevail in our latitudes, blow from the Weftward, for reafons unneceffary to be detailed here. Thefe winds are commonly mild in their temperature, and moift in their nature. They are, from thefe properties, extremely friendly to animal and vegetable life; and to them the great population of Ireland, and the uncommon fertility of its foil, may, among natural caufes, be afcribed. But, from whatever circumftances ‘it has arifen, thefe winds have, of late years, fwept with uncommon violence over the farface of our ifland; fruftrating the ufual effets of their genial properties by the overbearing fury of their courfe; and, like Saturn, fometimes devouring the offspring to which themfelves had given birth. Wuy thefe wefterly winds have ceafed to bear the character of zephyrs may admit of much curious and interefting inveftiga- tion: at prefent ¥ fhall be fatisfied with endeavouring to eftablifh the fact itfelf, by fuggefting to the Academy fome citcumftances that feem to determine the matter with a very great degree of probability. _ Tue effects of thefe winds are matked, in vifible characters, over the whole furface of the kingdom; but they are peculiarly diftin- fr ap. diftinguifhable in the northern province of Ulfter; and chiefly in the extreme counties of that province, where a northerly latitude, joined to an expofed fituation on the coafts of the ocean, forms an apt ftation for obfervations, and exhibits, as it were on a mag- nified feale, the degrees of the pheenomena themfelves. THREE natural regifters of thefe effe€ts have come within my obfervation; the trees of the country, the fands of the fea coaft, and the tides of the ocean: Of each of thefe I fhall make mention in its order. Of the Trees. Ir is a fa&t extremely well eftablifhed, that the pine tree, and peculiarly that fpecies vulgarly denominated the Scotch fir, formerly grew on many of the mountains of this kingdom, and on parts of the northern and weftern coafts, exceedingly bare and open to ftorms. Vaft roots, and noble trunks of this f{pecies of pine have been feen and examined by me with attention, in fituations where human induftry cannot now rear a twig of the hardieft tree. On the higheft lands of the general furface of the kingdom, in the county of Weftmeath, amid the mountains of the county of Antrim, and on the naked coafts of Enifhowen, and Roffes, in the county of Donegal, pine trees have formerly arrived at an age of an hundred and twenty years, have grown to the fize of a yard in diameter, and furpaffed~ fifty feet in height. THERE ft aoe. J TuereE is great reafon to think, that two centuries have hardly elapfed fince many of thefe trees grew in thofe fituations; and probable reafons might be adduced, to limit the great period of their deftru€tion to the age of James the firft of England; in whofe reign rewards were held out for fettling the kingdom, and clearing its furface of forefts, which, under favour of inceffant wars, and neglected tillage, during a period of eight centuries, had over{pread the face of the country *. Tue harfh and furrowed bark of this pine has occurred to me, in fuch a perfect ftate of prefervation, as almoft alone to determine its {pecies T. Tue cones have been found by me at a depth of many feet from the furface of the earth, in fuch condition as almoft to give hope of raifing plants from their feed ¢. Marks of the woodman’s hatchet * « In this reign pipe-ftaves was one of the ordinary exports of Ireland; fo that a mighty trade was driven with them, and thoufands of trees were felled, every sc year, for this purpofe. A multitude of iron-mills were erefted; and it is in- credible how much charcoal a fingle iron-mill will confume in one year. So that « all the great woods, which the maps fhew us on the mountains, between Dundalk ‘© and Newry, are quite vanifhed, except one tree, clofe to the highway, at « the very top of the mountain, which, as it may be feen a great way off, therefore s¢ ferveth travellers for a mark.” n s a re «« Yet there are ftill great woods remaining in Dunnagall, in Tyrone, in Antrim, © &c.” See Nat. Hift. of Ireland by Boates, Molleneux, and others, written about the middle of the laft century. + In Bracknaheevlin. bog, county of Weftmeath. $ In Lackbeg bog near Rutland, county of Donegal. {lt pe hatchet on their trunks; veftiges of fire applied for their deftruc- tion ; the pieces of charcoal into which many of them have been burnt *; paleings, and {mall enclofures, found at the level where they have formerly grown ; all feem to prove the interference of human induftry in the extirpation of thefe noble trees, and even to affign no very remote period for that event. LEATHERN fhoes, wooden veffels filled with butter, and other light fubftances, found at confiderable depths in turf-bogs f, and not likely to have defcended through the matted texture of that fubftance, give additional teftimony to the opinion, that the exiftence of thefe bogs, and, of courfe, that of the trees which they contain, is not of an extremely ancient date. Ir is needlefs to recal the attention of the Academy to the difficulty of raifing trees, at prefent, in many of thofe fituations where the ancient pine and oak of Ireland have, within the period of human exiftence, flourifhed with luxuriance. THE * Found in a bogein the liberties of the city of Londonderry. + In a bog near Surock, county of Weftmeath: near Kilrufh, county of Clare; at Carnifk, near Ramelton, county of Donegal. + Omitting other inftances: Two wooden veffels, containing butter, were very lately found deep in a turf-bog, in the Fews mountains, near Ballymoire, the feat of Sir Walter Synnott. ‘The veffels were extremely inartificial, being little better than the hollow trunks of fome large fpecies of willow: the butter was infipid, inodorous, colourlefs, fomewhat refembling unctuous white fteatites in its touch and appearance ; but its inflammability remained fo perfect, as to admit of its being made into candles, to which ufe much of it was applied. Tige a Tue labours of the farmer, the refources of wealth and inform- ation, the rewards of patriotic focietics, and even the liberal encouragement of the legiflature itfelf, have in vain ftruggled againft the weftern ftorms, during the latter part of the prefent century; and the planters of our age, wearied with combating the tempeft, have generally found it neceffary to fly from all elevated and expofed fituations, and to abandon the pleafing idea of cover-. ing the nakednefs of mountains, the fterility of rocks, and the bleak uniformity of bogs, with the luxuriant foliage of the oak and the pine. Or all the foreft trees, which, in later times, have been cul- ‘tivated for general ufe, there is none higher in the eftimation of our farmers than the afh. It is a tree which buds late, but finally iffues forth ftrong and fucculent fhoots: fecure, by its deciduous nature, from wintry blafts, it is, neverthelefs, extremely fenfible to the efforts of fummer ftorms; and becomes a faithful regifter of the winds of our climate, marking their moft prevalent direction by the inclination of its boughs, and their violence, ‘by the degree wherein its tender fhoots, or more mature branches, are withered or blafted. Har a century has fearce elapfed fince this ufeful fpecies of tree was generally planted, and grew luxuriantly in every part of Ireland: yet are there hardly any expofed places in the king- ‘dom where its top branches do not now, in one part or another, exhibit the withered veftiges of commencing decay. Through Vou. VI. E many i ef many parts of Ulfter it is a blafted tree; and in all untheltered fituations, in the three northern counties of Antrim, Derry, and Donegal, the fpecies feems faft verging toward annihilation *. AtrTentive to each prognoftic of the feafons, alive to every circumftance whereon the future fubfiftence of his numerous family, in a populous country, may depend, the farmer of the north fees thefe veftiges of the tempeft with folicitude ; and often taught, of late, to dread the effects of fummer ftorms on his luxuriant crops of potatoes, he has become querulous from ex- perience, and thinks he has fome reafon to complain that the feafons are lefs favourable to his hopes than formerly ; that the pine tree has not forfaken the mountains, nor the afh been. blafted in his fields, without the influence of encreafing tempetts. Of the Sands. Tue wafte and dreary folitude of extended barren fands, which almoft every fea-coaft exhibits, is generally paffed over with rapidity, as ufelefs to the philofopher, from the incalculable fluctuation of its furface; and wearifome to the traveller, by its difgufting uniformity. Yer, in the midft of fuch a fterile fcene, where nothing occurs to divert the path, or diftra& the penfive mind of the traveller, if traces of human exiftence fhould fuddenly become vifible, if enclofures * In Lancafhire in England, between Garftang and Prefton, the trees are alfo cut off by the wefterly winds. See Newte’s Tour, year 1791. Lense. | enclofures fhould appear to mark the chearful fire-fide of fome former villager, or the circuit of his little garden; if embattled walls, or marble piers fhould ftart up amid the fands, fuggefting ideas of ancient elegance and feftivity, he muft have a ftoic’s mind, indeed, who will not venture to calculate caufes, and feel interefted in events that come home fo clofely to the human heart. On many parts of the coaft of Ireland f{cenes, fuch as thefe, may be difcovered. Ar the entrance of the river Bannow, in the celebrated barony of Forth, in the county of Wexford, veftiges of ruins, traced with difficulty amid heaps of barren fand, ferve to afcertain the fite of a town, whofe ancient refpectability was marked by the royal charter, which endowed it with the privilege of fending reprefen- tatives to the parliament of the nation, and whofe opulence may be inferred from the ftreets which are regiftered in the revenue records of the laft century *. E 2, Amip * « So late as the year 1626, Bannow is regiftered in the cuftom-houfe books of Wexford, as having four ftreets which paid quit-rent to the crown; viz.. Lady-ftreet, High-ftreet, Weavers-ftreet, Little-fttreet, and fome buildings furrounding the church. The only remains of Bannow, which ftand vifible at this day (1786), are the walls of its church. There is not on or near the town but one poor folitary hut. The election for the reprefentatives of the town is held on the walls of an old chimney, adjoining to the church, which tumbled down piece-meal, and forms the council table of that ancient and loyal corporation.” Private letter of a friend in the county of Wexford. P36. J Amp the fands between Porttuth and Dunluce, in the county of Antrim, in the year 1783, the ruins of a village might be feen, deferted by its inhabitants, who had been obliged to move further into the country. Ix the year 1787 the peninfula of Hornhead, in the county of Donegal, contained veftiges of enclofures, fo fmall, and fo nu- merous, as to mark the refidence of a confiderable number of human families, in a fpot which then exhibited nothing, but — ““ a defert, falt and bare, “ The haunt of feals and orcs, and fea-mews clang.” MILTon. SoMEWHAT about a century ago the peninfula of Rofsgull, lying between the harbours of Sheep-haven and Mulroy, in the county of Donegal, was felected as the refidence of one of the noble families of Hamilton, titled Boyne. It is to be prefumed there was then but little apprehenfion that the elegant edifice of that age fhould, after the fhort interval of an hundred years, ftand, like Tadmor of the Eaft, the folitary wonder of a furrounding defert. For the age wherein it was built, and the ftyle of architeGture of that day, the manfion of Rofeapenna may be called elegant. The approach was from a level green on the fhore, through a fucceffion of embattled courts, and hanging terraces, rifing in order one above the other, and adorned with marble piers of no mean defign and workmanfhip. THE HA Hi] Hi lh Ih Mite A i es { 3 J ‘ +. Tue tear was piakeeina with gatdens, laid out and planted in’ the fathion of the laft century; and the parks and —_ of the we deme feem to have been well divided and enclofed. is Ar prefent every objet in this place prefents to view peculiar charaéters of defolation. The gardens are totally denuded of trees and fhrubs, by the fury of the weftern winds: their walls, un- _ able to fuftain the mafs of overbearing fands, haye bent before is the: accumulated. preffure, and, overthrown in numberlefs places, have given free paffage to this reftlefs enemy of all fertility. ae ABRs, the flights of Hep | Hs State are all involved MiidiGén itfelf, yielding to the unconquerable fury of the is TERPS faft i deftruétion : ae aa! en ts Hence ‘ * Te syould be teazing to dwell on a repetition of fimilar ‘examples. I fhall juft mention two others. Ina fummer excurfion from College, in the year 1787, pafling ‘from b cae 2] Hence it appears, that interefting natural events, the con- fequence of ftorms, have occurred on our coafts in the latter part of the prefent century, which were not forefeen, nor even fufpect- ed, at its commencement. Of the Tides. Ir cannot be wondered at if thefe tempefts fhould have had confiderable effet on the tides of the ocean. The waters of that element, as long as they are unimpeded by extraneous caufes, obey the influence of the heavenly luminaries, and ebb and flow with’ degrees of quantity, and regularity of periods, which come within the reach of human calculation. But when they are agitated by ftorms, from Dunfanaghy to Rutland, along the weftern coaft of Donegal, I had great difficulty to difcover a houfe, fituated between the river Guidore and the Roffes iflands, whither I had been dire&ted to enquire for a guide; and, after much fearch, at length perceived its roof, juft emerging from the fands. The owner told me that his houie was not long built, and had, at firft, a confiderable traét of pafture ground between it and the fea thore, but that, of late, he was every year obliged, with great labour, to dig it out of the encroaching fands, and purpofed, fhortly, to remove it to the oppofite fhore of a lake called Mullochdearg, which lay behind the houfe, in defpair of being able to maintain his prefent fituation. A difputed boundary in Fanet, on the northern coaft of the fame country, between the tenants of one of my own glebes and the neighbouring peafants, is afcertained by a heap of iron fcorie in the midft of loofe and fhifting fands. Thirty or forty years ago there ftood here the forge of the village; but no remains of it, or its fmith, are now difcoverable, except the cinders of the forge, and the rank weeds that fpring from a rich ftratum of earth, once the foil of his garden, and ftill vifible in a hillock of fand. [ 39 J ftorms, or other violent convulfions, their quantities, and periods, become altogether uncertain and incalculable. Generatty fpeaking, agitation of the ocean, from whatever caufes it may arife, produces encreafe in the influx and reflux of its tides, as well as deviation from their calculated times; and where the movement of this extraneous influence coincides with the natural direétion of the waters, the effets are vifibly diftin- guifhable by the traces of inundation which attend their unufual progrefs. As the tides of our coaft, raifed in the Atlantic ocean, flow in upon us from the weftward, a ftorm from that quarter invariably gives them an uncommon elevation in our harbours: and this accu- ‘mulation of waters fometimes anticipates even the tempett itfelf, becoming the forerunner and prognoftic of its diftant commence- ment, and approaching impetuofity. Or late years, thefe extraordinary influxes of the ocean have ‘been much greater, and more frequent, than formerly. Every perfon on our coafts, whofe fituation has made the conftruGion or prefervation of embankments againft the fea neceflary, ‘knows, by painful experience, how much his labours have, of late years, encreafed, and how impotent works, formerly effeGiual, are now found to be, in repelling the encreafing tides of the prefent day. Public roads encroached on; walls beaten down; ftrands lefs paffable than heretofore, meadow and tillage land oftener, dul more [ 4° ] more deeply inundated; all concur to prove encreafing tides, and frequency of ftorms on our coafts. Turse phenomena faithfully regiftered, extenfively and diftin@- ly delineated in natural charaGters, independent of every bias from human fyftem or prejudice, free from the uncertainty of cafual records, or the locality of peculiar ftations for obfervation, feem diretly to demonftrate an unufual and encreafing violence in the winds of our climate during the prefent century. That thefe tempefts have chiefly borne upon us from the weftward, is plain from the fame general appearances: for, where local cir- cumftances have not diretly interfered in oppofition, the trees, fhrinking before the preffure from the ocean, have uniyerfally yielded to the weftern blaft. The fands have drifted, and the tides. runfhed upon us from the fame quarter, evidently demon- ftrating the more frequent recurrence, and fuperior potency, of the Atlantic ftorms. Of the Effects of thefe Weftern Tempefts on the general Temperature of the Climate. In a paper, honoured with a place in the fecond volume of the tranfaGtions of the Academy, I recorded the refult of fome ex- periments made in the year 1788, for the purpofe of afcertaining the temperature of the earth in our latitudes. From thefe experiments it appears, that the medium tem- perature of the kingdom of Ireland, from its fouthern to its north- ern [ 46 ] ern extremity, nearly coincides with the ftandard affigned to correfpondent degrees of latitude in Mr. Kirwan’s ingenious tables *. Ir is further difcoverable, that the general warmth of our ifland is in no refpect inferior to that of other countries in its parallel : from whence we are naturally led to, conclude that the annual quantity of heat received here, is not lefs, in our day, than it was in former ages. Ir thefe things are, fo, it may be. denied that there is any fub- ftantial foundation for, the frequent complaint of change in our, feafons.. The ocean may be agitated by ftorms, fands be drifted. along our coaft, and trees blafted in mountainous and expofed. fituations ;—but why fhould the farmer lament the diminifhed. ardour, and fhortened period. of his fummers ; as if winter pof- feffed more than its natural portion of the revolving year? Whence fhould arife the gardener’s complaints, that his peaches, however fheltered from ftorms, rarely now'arrive at maturity, and that his May-duke cherries, even)in the moft favoured: afpedts,. no longer merit that diftinguithed title? May I be permitted to affume, as true, the fact which it has. hitherto been the purpofe of this paper to demonftrate, and im fupport of which the trees, the fands, and the tides of our ifland,, feem to bear confiftent and unequivocal teftimony ; namely that; ¢ Vo. VI. F ; of * See Kirwan’s Eftimate of Temperatures. [ 4] of late years, the weftern winds have blown with encreafed vio- lence? From that fingle principle an anfwer may be deduced’ to all thefe interefting queftions. Ir isa matter well known, and eafily to be explained, that the furface of the ocean varies lefs from the mean annual temperature of its latitude than Jand in the fame parallel *: that is, the furface of the fea is colder in fummer, and warmer in winter, than the furface of the ground in that latitude. If then the prevalent winds of any country blow over an ocean fituated in its parallel, that country will relatively be denominated temperate ; it will be free from all extremes; the heats of fummer, and the colds of winter, will be checked by fea breezes of a con- trary property; and the land, influenced by the neighbouring element, muft, more or lefs, partake in its equability of tem- perature. Sucw is thecafe in almoft all the iflands of the world ; and fuch, from immemorial ages, has been the peculiar character of Ireland. Hither come the weftern winds, modified by the temperature of the broad Atlantic ocean which they traverfe in their career: Hither fly the clouds, teeming with moifture collected in a courfe of three thoufand miles along its furface: and here uniformity of temperature, and redundant humidity, have always been marked as the diftinguifhed charaéter of our foil. SINCE * See Kirwan’s Eftimate of Temperatures. [x43 J Since then the trees, the fands, and the tides demonftrate that thefe winds-have, of late years, blown with unufual violence ; fince they bear teftimony that .a large quantity of air, thus directed, thus tempered and furcharged, has paffed -over ‘our lands; it plainly follows that the climate muft have felt the change; that it muft have experienced colder fummers and milder winters than heretofore, ,approaching towards that equability of heat, and redundance of -moifture, which the farmer and the gardener at prefent fo heavily lament. Bur it is not from encreafe of quantity alone that thefe winds: have produced their effects. They have altered the temperature of the ocean itfelf ; and thus have, as it were, multiplied their changeful influence on the land; acting there, at once, with new properties, as well as with encreafed quantity. Tue furface of ‘water, in’a ftate of tranquillity, admits of greater variations ‘of ‘temperature than in a ftate of agitation. Jt may ‘become ‘mich ‘hotter‘in fummer, ‘and colder inwinter, when calm, than when difturbed: for ‘the ‘particles at the furface, when héated or cooled, ‘do not immediately give place to others nearer the bottom; ‘the procefs of commixture, in a tranquil ftate, is gradual, and the tranfmiffion of ‘change fomewhat refembles the flow anid ’retarded! progrefs that 'takes place on the land: “Agitation always countera@s this gradual procefs; arapid commixture of the particles produces a quick affimilation of temperature throughout the whole mafs, and thus, taking away all partial excefs, reduces the whole toward a medium ftate of uniformity. F's Tavs [ER4ai J Tuvs fummer tempefts always tend’ to diminith the fuperficial heat of an Ocean dver which they ruth ; while wihter“blafts, agi- tating the'waters at confiderable depths, refift the natural cold of the feafon by a fupply of relatively warm particles, which arife from the bottom toward the furface. Tuat the Atlantic ocean, the vaft and potent arbiter of our feafons, has fuffered unufual agitation of late years, feems evident from the natural phenomena recorded in the beginning of this Memoir. The trees, and fands of our ifland, bear teftimony to the ftorms which {weep along its furface ; and the tides come to us as frequent, and unerring meffengers of the tumultuous and agitated ftate of its billows, attendant on their furious career. From this perturbed abyfs of waters has arifen an unceafing influence, equally potent to check the ardour of the fummer folar beams, or to relax the fhackles of a northern winter. By this prevailing influénce fummer has been rendered impotent to raife and ripen many of our crops, and the farmer, taught by ne- ceflity, learns now to hand them over ready grown, and. prepared for the maturity of fummer, under the mild temperature of an Atlantic winter. Hence too the gardener has, of late years, been compelled to call in the aid of artificial heat to forward the peach, the nedtarine, the grape, and every other fpecies of delicate fruit, to perfection. HENcE [a5] HeNcE premiums now vainly tempt the growth of hemp, which formerly peafants, in the moft northern counties in Ire- land, cultivated without reward around their cabbins for domef- tic ufe: And hence the ancient apiaries of our ifland, once fo celebrated, and guarded with fuch fpecial and minute attention by the Brehon laws*, are now extin@; and honey, from being a common article of popular confumption, has become a rare luxury, or an expenfive medicine. Winter -has likewife felt the general influence of this Atlantic temperature; our graffes fcarcely droop beneath the frofts; wheat and oats vegetate in the open fields during the very folftice itfelf ; myrtles and laurels, in fheltered fituations, brave the feverity of winter: ‘The Foyle, and other large rivers of the northern pro- vince, frequently fubje@ to the icy chains of former ages, now run in uninterrupted freedom f. Facts, fuch asthefe, are to be confidered as the bafis of general opinion concerning the alteration of our climate; while old age, ‘connecting thefe appearances with the fragility of declining life, anda decayed conftitution, has become querulous in proportion to its feelings, and, judging of external phenomena by the exaggerated teft of its own acute fenfations, emphatically pronounces, that the feafons are now lefs favourable than formerly. On * See ColleGtanea de Reb. Hib. Tranfl. Brehon Laws. + Fifty years have elapfed fince the River Foyle has been effectually frozen over at ~ Derry: It is alfo obferved, that the River Thames, in Britain, is lefs frequently frozen © of late years than formerly. See Archzologia Britannica, vol. iii. p. 55. ae On the Confequences of this Equability of Temperature to animal and vegetable Life, From the tranfient perufal of this Memoir, a rapid and im- patient mind would probably draw numberlefs falfe conclufions. The faéts here recorded feem to wear a gloomy afpe@; to mark a gradual deterioration of our feafons ; to indicate:a climate, harth, ungenial, and of confequence fterile in its nature; clouded, humid, tempeftuous; cheerlefs, and unfriendly to animal and vegetable life. Aux thefe conclufions contradi&t-experience, and may be over- turned by a-calm confideration of the phenomena themfelves. ExreriENce teaches us that dry feafons, and eafterly gales, are, in our ifland, invariable fources of feeble ‘vegetation, and numerous difeafes*; and the hiftory of the world informs us that winds, whether hot or cold, are in their nature deleterious to ani- mal and vegetable life, in proportion as they become deprived of humidity. The warm air of the African defert breathes defolation over the parched land of Egypt and Syria, before it is yet felt asa tempeft. Even our own wefterly winds, the Atlantic meffengers of health and fertility to our ifland, after traverfing the cold and dry tract of the vaft ‘Siberian continent, bear nothing but fte- rility, * Of this the Influenza, attendant on the eafterly winds of fpring, in the prefent year (1795) affords a ftrong inftance. t See Volney’s Account of Egypt and. Syria. Ear J rility, and almoft perpetual winter, ‘to the unhappy climate of Kamfchatka *. Heat or cold in extremes; dry air in rapid motion, and moift air in a ftagnant ftate, feem to be the principal external fources of human difeafes; and climates are generally found favourable to health and longevity, in proportion as they are exempt from thefe natural caufes of diforder and decay. Ir ought therefore to be inferred, a priori, that Ireland, cele- brated for the fingular equability of its temperature, and the ceafelefs motion of an atmofphere always influenced by the moif- ture of the Atlantic, fhould be likewife charaCteriftically free from natural difeafe; and experience proves that this conclufion is true. Tue exhaufting agues of North America, or the fens of Eng- land +; the fatal fluxes which prevail in the low countries of the continent of Europe; the dreadful bilious diftempers of both the ‘Indies; the peftilence which defolates the African and Afiatic climates; are all either entirely unknown, or but feebly felt in Ireland. ‘There is here no charaéteriftic difeafe to mark a natural fource * The latitude of Kamichatka correfponds to that of Ireland ; the wefterly winds are prevalent in each; yet the former experiences a rigorous winter of nine months, and the latter rarely of as many days. See Cook’s Voyage in 1779, vol. ili. ch. 6. - + The ague is fo rare, in feveral parts of Ireland, that many perfons are totally unacquainted with it. In the northern province the Author has never met with the difeafe, and its exiftence there is generally denied. ae og - fource of unhealthfulnefs. There are few diforders which cannot be dire@ly traced up to fome artificial caufe; to fome intemperance, to fome negleét, to fome excefs, cither of luxury or penury, in the fuffering fubje@. Manufactures, in their kind, unwholefome ; induftry exerted beyond its proper limits ; irregularity in food or fermented liquors; illicit amours; colds, the confequence of folly or inattention; excefs or deficiency of proper exercife ; anxicty and fretfulnefs of mind; together with the copious lift of cafual- ties, afford to the phyfician of this country, the caufes, and expla- nation, of almoft all its diforders. From its peculiar falubrity the natives of this ifland are cele- brated through Europe for juft fymmetry of proportion, and an athletic frame ; becaufe, from earlieft infancy to manhood, a check is rarely given to the progreflive encreafe of animal ftrength, or the natural and appropriate forms of an undifeafed body. From the fame Hygeian fource flow thofe ardent paffions, thofe exu- berant ftreams of animal fpirits, which render our natives always chearful, oftentimes turbulent and boifterous, the ufual confequences of uninterrupted health and a vigorous conftitution. Hence wild adventure, perfonal courage, impetuofity of purfuit, inattention to confequences, and improvidence of difpofition, become the cha- ra@teriftic features of minds, feldom under the influence of that anxiety, which, flying from the prefent moment and its enjoy- ments, watches for futurity, and pants after remote felicity. THE [ 49 |] Tue general temperature of our climate, in the vicinity of the capital, is fomewhat lower than the soth degree of Farenheit’s thermometer * ; and a mean of the hotteft or coldeft months of our year rarely varies more than 10 degrees from this ftandard heat +. Winter therefore, with us, is ufually accompanied by a temperature of 40 degrees; {pring and autumn of so degrees ; and fummer of 60 degrees of the thermometer: and the general heat of any fingle month of thefe feveral feafons feldom varies much from the correfponding temperature of that particular feafon to which it belongs. Or thefe limits, the loweft is not fufficiently cold to check the> growth of any of the natural herbage of our ifland, nor the higheft powerful enough to parch the furface of a moift foil, or to feorch its luxuriant graffes. Hence it comes to pafs that our fields main- tain a perpetual verdure, unimpaired by either folftice. Hence too the farmer is enabled to lay his lands under grafs almoft at any feafon, even at the commencement of winter |: and hence the grazier never lofes the benefit of his rich paftures at any period of. the year, unlefs during the tranfient paffage of a temporary drift of fnow; fo that horfes, cattle; and fheep, arrive here, with Vou. VI. G little * See Hamilton’s Paper on the Temperature of Ireland, in the fecond volume of -thefe Tranfactions. + See State of the weather in Dublin, from June 1791 to June 1793, by Mr... Kirwan, Vol. V. of the Tranfactions. + See Young’s Tour in Ireland, Vol. I. p.130. ae . as [ 50° ] little care, at a degree of perfection unattainable in other countrics without infinite expence and trouble. For the growth of flax, the ftaple commodity of the kingdom ; of potatoes, the general food of its inhabitants; and of barley, from whence the ardent {pirits, and other fermented liquors of the country are derived; the climate feems to poffefs a peculiar felicity of temperature and moifture, in all its feafons; and for their neceffary degree of ripenefs, the heat of fummer is amply fuf- ficient. Ir is for the more delicate fpecies of garden fruits; for ill con- ducted crops of oats in bleak and mountainous fituations ; and for the complete and perfect maturity of wheat; that uneafy appre-~ henfions can ever be entertained by the gardener or the farmer. Tue former are, in themfelves, of little importance ; and where fuch luxuries are required, glafs coverings, and artificial heat, afford an ample fupply, and remove all pretence for difcontent. Human art and induftry, attentive to circum ftances, and accom- modated to times, has ftolen from the mild temperature of our winters as much warmth, as ferves to compenfate for the deficiency of fummer heats in forwarding and perfe€ting the crops of wheat; and a little time will teach the farmer, in our mountainous provinces, to ufe the fame artifice with refpe& to his oats, when- ever neceflity fhall demand his encreafed attention. To EE. oe To fum up matters, then, with truth and brevity—A denfity of population, furpaffing that of the vaunted millions of un- depopulated France*; a copious export trade in provifions of various kinds, unequalled by any kingdom whofe inhabitants are proportionably numercus +; and a ftaple manufacture unrivalled G 2 in * The inhabitants of Ireland amount to more than four millions. (See Mr. Bufhe’s Memoir, Irifh Tranf. Vol. IIL.) Hence, the denfity of its population is at the rate of 182 perfons to a fquare geographical mile, fuppofing the ifland to contain, in round numbers, 22000 fuper- ficial miles. Mr. Zimmerman, in his Political Survey of Europe, erroneoufly fuppofing the inhabitants of this country lefs than two millions and a half, deduces a denfity of population equal only to 117 perfons on each mile. The following table marks the number of individuals on a geographical fquare mile in the northern countries ef Europe, as taken from Zimmerman’s tables (Ireland being corrected) from whence it will appear that this kingdom rates extremely high in the denfity of its population. Perfons. Denmark = Bs a Wh Ss Sweden = = ~ 4 Ruffia - = a 20 Scotland = ris fs ia Poland - - é 53 Pruffia - 67 En gland - = - I2 9 Germany = ial = 135 France - - ~ 152 Treland = ~ iS 182 Holland - = = 236 + Two hundred and twenty thoufand barrels of beef and pork, independent of the various matters connected therewith, and of every other f{pecies of provifions, were exported inithe:year.ending 25th March 1793.. [ 52 ] ‘mm general ufe, in certainty of produce, and intrinfic value *; are circumftances which have not fallen to the lot of other nations, and bring with them clear and irrefragable evidence to demonftrate a falubrious country, a genial climate, and a fertile foil in Ireland. Conclufion. Ix this Memoir I have endeavoured to prove from natural, and almoft incontrovertible regifters of the phenomena of later years, that the winds, and particularly the weftern ftorms, have fwept with encreafed violence over Ireland. From this fa@ I have deduced a necefiary change in its climate; a more general equability of temperature through the year; fum- mers lefs warm, and winters more mild and open: and, laftly, I have endeavoured to fupport this conclufion by general obferva- tion, and the enumeration of particular inftances where the defe& of fummer heat and winter ice feem to be moft ftrongly marked. One queftion ftill remains, curious in its principle, and intereit- ing in its folution—Why have thefe weftern ftorms blown with unufual and encreafed violence? THE * After a progreflive encteafe of ninety years, the exports of linen cloth alone, in the year 1792, amounted to forty-three millions of yards, from one million only at the commencement of the prefent century. cf Tue limits of a Memoir, fuch as this, do not permit me to enlarge on this fubje@, and even appear to include a reproof for the length of the prefent interruption. I fhall, therefore, trefpafs no longer on the moments of the Academy than to fuggeft a few queries, which may ftand over for future confideration ; leaving it to time, and the ingenuity or better dire@ted obfervations of others, to verify, to difprove, or to contemn the hints which may be contained in them. tft, Have not our winds become more violent, and the tem- perature of our feafons more equable, fince the forefts of Ireland were cleared, and the country cultivated? and have not thefe winds, and that equability of temperature, been nearly propor- tioned to thefe, as to their caufes? ed, Have not fimilar changes occurred under analogous cir- cumftances in North America; even in Canada, that country of extremes in heat and cold? And did not the ifland of Bermudas, though fituated fo much to the fouthward of us, become barren of fruit, in confequence of the deftrudtion of its timber trees? 3d, Has it not appeared from obfervations on the afcent of balloons, and the motion of clouds, that the lower mafs of air often purfues a different courfe from the upper ftratum? May not then the limits of our ftormy currents of air be often confined within a few hundred yards of the furface of the earth? and if fo, is it not poffible, and even probable, that the frequent interruption of [t .54 J of forefts and groves, and hedge-row trees, might have formerly very much retarded, and finally checked, the progrefs of a tempeft? 4th, Have not all the countries of Europe, Afia and America, within the parallel of Ireland, been very much denuded of their forefts within the prefent century? and have not the encreafed velocity of the wefterly winds been proportioned to this deftruétion of the forefts and trees, as to their natural caufes? sth, Is it not probable, fince the prevalent winds of our parallel have a wefterly tendency, that circumftances which have removed impediments to their career round the entire globe, would give encreafed velocity to their courfe ? 6th, SHoutp not Ireland, launched as it is into the Atlantic, beyond the other coafts of Europe ; and denuded, as it has been, of forefts and hedge-row trees, be the moft fenfibly affe@ted by encreafing tempefts from the weft, and the firft to experience their influence on its climate ? Wueruer thefe queries have any foundation in nature, or are merely to be efteemed the refult of an unreftrained imagination; whether fo diminutive an animal as man, fo temporary in duration, fo impotent in ftrength, acting through the lengthened period and perfevering efforts of a large portion of his fpecies, can reafonably be deemed equal to the involuntary production of fuch Dias sd fuch yaft effeéts; to a change even of the elements and climates of the earth, may admit of doubt, of oppofition, and even of denial. For thefe reafons I have taken the liberty fimply to pro- pofe them as matters of enquiry, and only beg the indulgence of the Academy for troubling them with matters that may not be attended with fufficient evidence to bring conviction, or even to efcape cenfure. 10d 9 Bits Mee! Nis oe Oa aie aan sana Oftober 20th, 1795. Tue prefent year (1795) has been, comparatively, cold in its commencement, and warm in its fummer; it has been calm, dry, and in many refpedts a contraft to the long feries of preceding years whofe effeds are regiftered in this Memoir. Yer the extremes of its temperature have not been equal to thofe of former years, as far as can be inferred from the recorded effects of heat and cold on natural obje@s. The large rivers of the northern province have not been bound firmly in the icy chains of winter; nor have grapes ripened in favourable afpeCts in any part of the kingdom during fummer, as formerly occurred, in feafons whofe temperature was denominated extreme. gotamnila bie etrist 119 aly ae) Te S oheg “Bf: Bo sae ns re cae ee eet iy Re kta itt io Oe a “egnses Van ita nile aa sent TRGB! er soemalirhni’ at dy syad * ‘yido hh set ‘ cis No" aes tec LB sit Me 06 coe tea psaiyean avis Guapae aldo sa a, Bl *: bE? (tra joi) AE iva lagt ut ert ’ Ee ory" at ) - rey ’ ub (nga? ini oo, person ert er jug’ ae woes veh ae tk: oe ve his rye iver ho Le 1 gee’ ee cal figghaca. gears, calle tik: i bnateale gars ese) : om igen waht ia ty hy gee eer ihe et eae er et eth rate eo Gs abo aah wie a tieliapon dgioaace IRD! gdm ey es ee sabirebedeeY i ad imp? *nahilc, uray. vt in ; stag ie ngs at aot jaquida. ties inlepapbn: > ee bad pasate ta, yd t: there ut "Paste sh dot OW tad POR nwitieasa wine fierieso gt. at. te sonie ies are. 100 eAS TSF ba tt iepergt a ei its, ‘aiden diay nabagi adi Yo “Stag ie ttaslhi 9? =e I Gate ee aay Tes yak ered nae 1 ae ‘ rm ah Fs. J HISTORY of 2 CASE in which very UNCOMMON WORMS were difcharged from th STOMACH, with OBSERVATIONS thereon. By SAMUEL CRUMPE, M.D. MRI. A. ‘Tue lady whofe cafe I am about to relate had been for many years fubje&t to inflammatory affections of the lungs, which gene- rally terminated in a copious and long continued expedtoration. Read Decem: ber 6th 1794. I was called to her affiftance for the firft time on the 2d of November 1788; fhe was then about twenty-fix years of age and had been about two years married. She appeared to me to labour under the fymptoms which characterize the advanced ftages of phthifis pulmonalis, and which need not here be enumerated ; and to thefe, according to her own account, fhe had been more or lefs liable every winter and fpring for fome years back. As her fweats were very profufe, and fhe complained much of trou- blefome cough, and want of reft, the principal remedies prefcri- bed were thofe calculated to reftrain the prefling fymptoms ; and confifted chiefly of the weak vitriolic acid, and thebaic tin@ure. By thefe fhe found herfelf relieved until the 22d of Vou. VI. H December, to 4 December, when fhe was feized with an evident peripneumony, attended by confiderable pain under the fternum, which required, and yielded to, copious blood-letting and blifters. It terminated as ufual in an abundant expeCoration, and fhe recovered from it but flowly. About the latter end of February however fhe began to gain ftrength and foon after was to all appearance perfectly, recovered. On the 14th of July 1789 I was again called to her, and found her again labouring under the fymptoms of pneumonic inflammation ; from which fhe was by the ufual mode of treat- ment freed in four or five days. Avucust 4th I was again called on. She has been troubled for five or fix days paft with a vomiting of blood, which generally recurs twice or thrice in the twenty-four hours; and is preceded by a fenfe of weight and oppreffion about the precordia, which are relieved by the vomiting. The quantity thrown up. is vari- ous at different times; fometimes a tea-cup full, fometimes not two table-fpoon fulls, and generally in clots. Complaints alfo of want of fleep, profufe night fweats, tendency to cough, which is prevented by great forenefs in her cheft, want of appetite, and fometimes difficulty of breathing; pulfe natural in point of fre- quency, but very full, belly regular. She was bled to about eight ounces, blood remarkably fizy. Avucust 6. Symptoms as before, excepting the pulfe, which is very natural. She was ordered an infufion of the bark, with the vitriolic acid, and a mucilaginous opiate. Aucust [ 59. ] Avcust 8 Has continued to take the infufion regularly ; vomiting of blood ftill continues; fleeps rather better, cough eafy ; fweats continue. Let the infufion be continued. Aveust 12. Took the infufion regularly. Vomiting of blood continues ; fweats as before, cough eafy, and expectoration free. Avcust 13. Has taken the infufion regularly. Vomiting of blood has ceafed; but fhe is troubled with retchings and vomit- ing every morning, preceded by fweats, and a gnawing fenfa- tion in the ftomach. In vomiting this morning fays fhe threw up three {mall worms, which have not been preferved. Cough has difappeared; fweats decreafing, except before the morning vomiting; fleeps pretty well. Continue. Avecust 24. The vomiting has recurred at intervals without any worms having been thrown up, till this morning, when a confiderable number of {mall ones, and of an uncommon fhape, were difcharged. Sweats have almoft entirely ceafed, and fhe is in other refpeéts well. Continue the infufion. _ Sepremser 3. Was feized this morning with a return of vomiting, when fhe threw up a confiderable number of worms fimilar to the Jaft, and one of a much larger fize and different fhape, mixed with bloody and corrupted matter; the fmall ones were fo numerous they could not be reckoned, the entire mat- ter thrown up being full of them. No cough, dyf{pnoea, or other diftrefling fymptom. BR. Stanni pulverati drachmam, Salis Martis granum, fiant pulveres tales oo, & fumat unum quater de die.—Repetatur In- fufum Corticis. H 2 ; SEPTEMBER { s60 ] Seeremaer 5th. Has taken the whole of the powders ; flight returns of vomiting ; no appearance of worms; fhe was ordered and took a vomit of Ipecacuanha-wine, which operated weil, but “neither worms or bloody matter were difcharged. The infufion was ordered to be continued. SEPTEMBER 26th. Sweats have difappeared ; cough is but flight ; the vomiting pretty frequently recurs, but is not preceded by any unufual fenfation, nor is it more frequent than in her former pregnancy. No appearance of blood or worms ; ftrength in gene- ral much improved. : She was ordered to omit all medicines, was fafely delivered of her child at the ufual time, and is now in perfe& health ; though in general delicate, and fubje@ to violent colds. Orb Ss. ERY sf. ONS. Tue worms thrown up are delineated of the matural ize and appearance in fig. 1. and 2. Fig. 1. reprefents the large one, confifting of a head and twelve joints; the three firft joints are furnifhed each with a pair of legs, which all the others want. Fig. 2. reprefents the {mall worm, of which fuch num- bers were difcharged ; and fig. 3. the belly of the fame, viewed through a good common magnifying-glafs. It confifts of a head and ten joints, and has three double rows of legs; one double row on each fide, and one double row of fhorter ones down the middle of the belly. It has befides three legs projecting in the form of a tail from the laft joint. At thefe worms fhewed figns of animation when difcharged, efpecially on being expofed to the heat of the fun, but foon died. “ney : Re: ae et ev ee Meee heed Mad Renoan f: _died. . Théy appear ‘to»me to be the larvae of fome infea, but of what particular fpecies I am not naturalift minute enough to determine. The large one appears very fimilar to the larva of the common beetle. We have many inftances. related by va- rious authors, of different fpecies of worms: difcharged_ from the -inteftinal canal ; but of the different defcriptions I have read, or fpecimens I have feen preferyed in anatomical colleGions,. none have flruck me as in any degree fimilar to thofe difcharged. by the patient whofe cafe has been juft related. It is probable, as has before been mentioned, that the worms difcharged ‘were the larve of fome infect which does not ufually depofit its eggs in any part of the human frame; but which haying been acci- dentally depofited in, or conveyed into the body, were hatched, and acquired the fize and form we have delineated. ; Tuar flies of various kinds depofit their eggs in living ani- mal bodies, and that thefe eggs are by the heat of the animal hatched and transformed into maggots, is evident from the in- ftance of many fo produced in the re€tum of horfes, and backs of black cattle. The human body being in general better covered, and better defended from the attempts of fuch infects, does not exhibit fo many inftances of this nature. Still however it is - liable to their attacks. Many cafes have been publithed of va~ rious infe€ts being hatched, and producing excruciating pain in _the antrum maxillare, and other cavities leading to the nofe. Other worms, evidently the larvae of external infe@s, have been difcovered in the inteftines: And in the Medical Commenta- ries for the ‘year 1787 there is a curious cafe of fome pxiltige under’ the dkin. A youxe [ 62 a A youne lad of about twelve years of age was afflicted with excruciating pains in his limbs. to fuch a degree as to render life miferable. The pains were deemed rheumatic, and the ufual remedies for that diforder applied without fuccefs. At length fome worms worked their way out of different parts of his body, particularly the knees, breaft and forehead; and he was imme- diately after confiderably relieved. The worms are defcribed as near an inch long, all in joints on the back, and with hard fcales on them. The attending phyfician afcribes their origin to fome flies having pierced the fkin and lodged their ova in the punctures. Several other boys in the fame part of the country were that feafon affected in a fimilar manner. Many inftances have been given by medical authors, of in- flammatory and other affeCtions of the lungs occafioned by worms, fome of which proved fatal; fome being relieved, or totally re- moved by the difcharge of thefe animals. Morgagni in the ad book of his incomparable work De Caufis & Sedibus Morborum, gives us the cafe of a patient, who laboured under every fymp- tom of pleurify, which terminated by his {pitting up a quantity of blood with a round worm; after which he immediately got well. He in the fame place quotes a work publifhed by Ignatius Pedratti on the pleurify from worms. We have other inftances of worms difcharged from the lungs by coughing, in Schenkius OZ/erv. De Pulmonibus, lib. 2, in Lieutuad Hift. Anatom. med, in Percival’s Effays, and in the works of {fe- veral other medical writers. Ir may perhaps be imagined that the pulmonic affections under which our patient laboured might have been owing to the a: eae the worms fhe difcharged, which perhaps worked their way down- wards from the lungs into the ftomach ; this however does not appear probable ; her having been fubje@ to them for a feries of years, their being frequently excited fuddenly by the application of cold, and there terminating without the difcharge of any fuch animals, are circumftances which militate ftrongly againft the idea. Tuere can however I believe be little doubt that the com- plaints of the ftomach with which fhe was feized, and the vo- miting of blood, were occafioned by their prefence; and that they formed for themfelves a nidus in the coats of the ftomach appears pretty evident from the purulent and bloody matter - which accompanied the difcharge of the laft portion of them. None of the fymptoms attending the vomiting of blood were fuch as indicated the prefence of worms in the ftomach and in- teftines; nor when their prefence was afcertained did the ver- mifuge medicines given appear to accelerate the cure; ftill how- ever the cafe may be inftructive; as proving that the hemate- mefis or vomiting of blood fometimes arifes from this fource, and therefore that the phyfician fhould keep fuch a caufe of the diforder in view whenever it proves obftinate or dangerous; and the hiftory is curious, as affording one certain fact refpecting the nidification of infects in the internal parts of the human frame. Limerick, December 1, 1794. P. S. I fend the worms themfelves preferved in fpirits of wine to be depofited in the colleétion of the Academy. oS oye NY aid Jasipmarasioos pie. sen i eT won ebeon arin 'y coped tse lagertht ai Mint ating ig obit gare it Bra eck : ey ip peeara Hee Ss Sea ue cashed tant AK rier egal ais iene aes pitsiles tei Lota aie ieee a aE eae gs Nt ie: atts “a ‘ es { hs cok a ye sib. ou Sie ; aan as “ea iiobs: put sero! ia grit) * weet saan co NaN 4a di) Ect tte thik ‘ ~~ pei Ss nis! we? “Si pei im nso ait wa can: Hera “damcrten? any inks enna OF ; Se nee el Linens pis ver yy ae “aie ae vai | Sr eet syd aliieed ee hole ciar¥h Eth nisi ram + Sie ‘ ouabstigeya | ‘ dt ter neice bes ESSAY on the BEST METHOD of ASCERTAINING the AREAS of COUNTRIES of CONSIDERABLE EXTENT. By the Rev. JAMES WHITELAW, Vicar of St. Catherine, Dublin, and M.R.J. A. Mooern geographers, and particularly thofe of Germany, have, of late years, cultivated a fcience to which they have given the name of Svati/tics, the object of which is, to afcertain the extent, population, denfity of population, military and naval force, revenues, national debt, &c. of the various ftates of Eu- rope. This {cience, interefting to every enlightened mind, and peculiarly fo to the ftatefman, is, as yet, in its infancy ; and that particular branch of it, which enables us to determine the areas or fuperficial contents of countries, has been hitherto fo negle@- ed, or conducted on fuch erroneous principles, that the calcu- lations of different authors are perfely inconfiftent with each other, and with truth. Some areas in our tables are, it mutt be acknowledged, fufficiently accurate; but as truth and error _are advanced with equal confidence, and equal authority, fuch are ufelefs to the reader, who, incompetent to make a felection, cannot proportion his aflent to their merit. VOLE. Vi. I THE Read April 25, 1795+ L ey Tue ftrange inconfiftencies that occur in ftatiftical tables will appear more furprifing, when we confider that the prefent cul- tivated ftate of geography, though far from perfection, leaves little room for thofe enormous errors. which were formerly in- evitable: When fuch, therefore, occur in modern publications, we may jultly, I think, impute them either to want of {kill or want of care in the author; and conclude that his method was incorrect, or that he performed the operation on very erroneous maps. The following are a few of the numerous inconfiften- cies to which I allude, but fufficient to fhew the very imperfect: ftate of this part of the fcience of ftatiftics. Europe in fguare Miles, of 60 to a Degree, by various Authors: Kitchin’s map of Europe, according to } Zimmermann, - - 2,180,466— FE Bufching = - : - = By432;000—251,534] = Statiftifche Ueberficht or German Pes a litical Tables 1786 - 2,712,112—531,646 fF ES Templeman’s Survey of the Globe - 2,749,314—568,848 E 5 Crome, on the Size and Population of é Europe 1785 = : - 2,785,440—604,974 | 2. Bergman’s Natural Geography - 2,906,112—725,646 J Here the laft difference is above four times the area of the kingdom of France. AMIDST. ro 4 Amipst errors of fuch magnitude how can we difcover truth ? is an obvious queftion. It has often employed my thoughts, and I take the liberty of fubmitting the refult to the Academy. A fmall portion of the earth’s fpherical furface may be accu- rately reprefented by a map drawn on a plain furface, and the menfuration of fuch map, by the ordinary methods ufed by furveyors, will give the area of the country it reprefents, with fufficient correétnefs: but in maps of extenfive regions the rule no longer holds, and the impoflibility of juftly delineating any confiderable portion of a fphere on a plain has induced geo- graphers to have recourfe to the various methods of projection, fuch as the ftereographic, orthographic, é&c. Maps conftructed on fuch principles may give the relative fituation of places, with refpeé&t to bearing, meridians and parallels, but cannot convey any accurate idea of form or fuperficial contents: they are, at beft, but diftorted refemblances, and the greater the extent they embrace the greater the diftortion, and the more incorreét the area: to fuch maps a {cale cannot be appli- ed, and they are confequently totally unfit for the purpofe of menfuration. TuatT the area of even a fingle kingdom of moderate di- menfions muft differ very confiderably from that of its map, will be evident from confidering the different methods of conftru@- ing the latter. iro THE [ 68 J Tue ufual kinds of projeétion for particular maps are the ftereographic on the plane of the horizon, the conical, and the circular. In the firft, which is founded on the rules of perfpedtive, equal tracts of country are reprefented as very unequal, gradually encreafing as they recede from the centre of the plane of projection; hence no common fcale can be applied to the map, which is therefore totally unfit for menfuration. THE conical projection is fo called, as it is produced by the application of a cone to a fphere, according to certain rules. In this the meridians are right lines on the cone, converging at its vertex, and perpendicular to the parallels of the lat. which are circles, defcribed from the vertex as their common centre: The diftance between the meridians is correct, only on the two pa- rallels formed by the interfections of the fphere and cone, be- tween which they will approach too near, and every where elfe recede too far from each other; and hence the area of that part of the map delineated on the portion of the cone which falls within the fphere will be lefs than the truth, while without thofe limits it will proportionably exceed it. This is an in- genious and elegant projection, and as the conical area between its extreme meridians and parallels is perfe€tly equal to that por- tion of the {phere it reprefents, if the limits of the country de- lincated on it perfectly coincided with thofe lines, it would ne- ceflarily give the true area: But this never happens, and to {peak pnee ti {peak with mathematical accuracy it is liable to the fame ob- jection as the laft, viz. that a fcale cannot be applied to it; for countries, however, of moderate extent in latitude, it is the beft that can be devifed. In the circular projection the parallels of lat. are circles, de- f{cribed from the pole as the common centre, with radii equal to the complements of their refpedtive latitudes: the meridians pre- ferve their due diftances on the parallels, becoming gradually curvilineal, and cutting the parallels more and more obliquely, as they recede from the central meridian; but as this alone can be a right line, and cut the parallels perpendicularly, it is ob- vious, that this projection mutt produce diftortion in the map, and confequently an error in its area, which, if it is greatly ex- tended in longitude, will at length become enormous: for coun- tries, however, of moderate dimenfions, it is one of the leaft objectionable projections, and a fcale may be adapted to it with fufficient accuracy, though not with geometrical precifion. Tere is another method of projection, ufed by the San- fons, in which the parallels are right lines, and the meridians, which obferve their due diftances on the parallels, are parabolic curves. This is admiflible only in delineating countries of in- confiderable extent in longitude, and Mr. D’Anville has preferred it for his map of South America: In all other cafes it produces much greater diftortion than any of the above methods, I~ rk Cac 1 In the cylindrical projection the countries on each fide of the equator are conceived to be delineated on the furface of a cylinder, cutting the fphere in two parallels, nearly midway between the equator and the top and bottom of the map: The meridians and parallels are right-lines, cutting each other at right-angles, and the former obferve their due diftance only on the interfections of the cylinder and fphere: This projection is evidently the beft for the tropical regions; but, as it is not of general application, and partakes of the perfections and imper- feGions of the conical, it is fufficient to have mentioned it. ALTHOUGH it is thus evident that the area, refulting from the fimple menfuration of every fpecies of map, however pro- jected, mutt, (except the country reprefented be of {mall extent) differ confiderably from the true area, yet there is reafon, I think, to fufpect that the generality of ftatiftical writers have only performed the operation in the ufual way, and perhaps on maps injudicioufly felecéted, without taking any precaution to correct the errors which muft inevitably arife from fuch a pro- cefs; at leaft the ftrange inconfiftency obfervable in their tables, with their want of candour, in not communicating to the public their method and materials, fubject them to this fufpicion. A few, indeed, have given us fome numbers fufliciently correct, but by what means they difcovered truth, as they are filent on the fubject, we are ignorant. I fhall, therefore, make no apology for offering the following method of nearly determining the true areas of maps: It is, I believe, new, and will be found, 1 hope, fufficiently Ae 2 fufficiently accurate for the purpofes for which ftatiftical tables are intended ; for minute precifion is impoflible, and if pofhi- ble would be unneceflary. Method of nearly determining the true Areas of Maps on the Conical and Circular Projections. Parallels of latitude, diftant from each other one degree, will: divide the fpherical furface of the earth into 180 narrow zones ; the area of each of thefe, in fquare miles of 60 to a degree, is found by multiplying its fine in miles and decimals of a mile by 21600, the circumference of a great circle in fuch miles; and the area of each zone, thus found, divided by 360, will give the area of each of the quadrilateral fpaces, formed by the pa- rallels, which include the zone and two meridians diftant one degree of longitude from each other: On this principle the fol- lowing table was conftructed., Lat. 72 g° iit zlL—1L Z* 1021 1L—ol Sotnete: ie Se cnet 69—89 Se GLE x g9—Lo v* €fh1 Lo—99 L* o6%1 99—S9 4+ Lbs S9—to © * Fog1 to—f9 O* 0991 £9—z9 open | “sou07, je boty jo “e'T be Srl7 Z) OLE g' Fzg1 €* gle nH * 161 z* bg6r 1‘ gfoz 9° Lgoz z° giz b* ggiz g° L&ez 8° 9822 a bez 1+ zgtz lg * gzbz 9: tlbz L: 61Sz "pend jo Poy z9—19 19 —09 opm6e 1° toSz 6S—g5\|9 + Logz gS— LS)|5 * oSoz LS—oS||+ + z69z 9S—SSI\9 + EELz Ss—os||6» 8002. PS—ESI Ib - E192 €S—zS||1 + zSgz zS—15||9* 6g9z 1$—oS||L * 9z6z oS —6t} 19 * zo6z 64—gtl|lg > £66z gh—Lt]6* 1£0€ Ly—gbt\\1 - Sgo€ gb—StIIS$ + L608 ‘uo, |) “pen JOT |) Jovory. LE—oE£ gf—SE SE—tbE +E--£ €€—zé z&—1€ 1£—of *sauo7z, jo wy "WEpapenyy jo my b* oghf | Sr 19° S6bE | 1 L+ GoS§ | €r Oe Se ai ex g° vES€ | x1 9° S#5€ | or CS SGE 6 z* oS | g OS ae +: glSé 9 gi fgsé |S z*ggSf | + Si -16SE5} ¢ L: €6S€ | z g ' F6SE || avprapend, jo tay oI pueo usdMIEgG —$. *SaU07 Yi Jo “eT To ae To render the application of the above table and fubfequent procefs more intelligible, I have annexed a fketch of the pro- jection and outline of the map of Germany. Havnic drawn the contour of the country with all poflible accuracy, and exprefled it by a very fine. line, obferve what qua- drilateral {paces lie entirely within it; enclofe thefe by a ftrong black line, and the area of all within it we may call the zte- gral area, as it confifts of entire quadrilaterals ; and that with- out it, the /raMional area, as it is compofed of parts of quadri- laterals. THE integrak area may be found with the greateft accuracy thus: I find, in the table, that a quadrilateral between the 53d and s4th parallel contains 2138.2 fquare miles, and that there are fix fuch in the integral area; therefore 2138.2 x 6 = 12829.2 will give the true contents of that portion of it which lies. be- tween thefe parallels, and a fimilar operation for the zones “between the other parallels will give 144023.6 as the entire integral area of Germany. _ Tuus far (fappofing the map correct) there is no. poflibility of error. The contents of the fractional area can be found only by approximation: The method I propofe is this: Ler it be required to find the area of the fpace A in the qua- drilateral ab c d: having conftrudted a fcale, from the extent of a degree of latitude, reduce the irregular waving contour adc K into Fig. Ws. ee fee! into a rectilineal outline, by fhort balance, or (as they are vul- garly called) give and take lines, drawn by the affiftance of a tranfparent ruler, with a thin fiducial edge: The polygonal fpace A muft then be reduced to a triangle by an operation familiar to furveyors, and its area found, by the ufual mode of multi- plying half its altitude into its bafe: By a fimilar procefs, find the area of the polygonal fpace B, which added to that of A, will give the area of the quadrilateral; and if this nearly co- incides with the fum, which refults from multiplying its mean extent in longitude by 60, there has been no material error in the operation: The fum of the areas thus found will be fre- quently very different from the true area of the quadrilateral, fhewn by the table, and the error muft be corrected by dividing the difference between the true and meafured areas proportionally between the fpaces A and B, thus, Let the quadrilateral a b cd be fituate between the soth and gift parallels of latitude, and its true area of courfe 2287 fquare miles: But, in confequence of the inevitable deviation from truth, in the projection of the map, this area produces by men- furation only 2247 fquare miles; the {pace A 1032, and the {pace B 1215: To find the true areas of A and B, as 2247 the meafured area of the quadrilateral. 7 : 1050 the true area of A. as sa ‘ ide Lh Fete] as 2247 the meafured area of the quadrilateral. : 1215 the meafured area of B. ::} 2287 the true area of the quadrilateral. ; 1237 the true area’of B. Wuew the true extent of the portions into which the contour line divides the quadrilaterals is thus adjufted, the addition of the feveral numbers in the fraéional area to the integral will give the contents of the map: and to prevent any confufion in the numbers to be added, it will be advifeable to ftain the fractional area one uniform colour, and to add the numbers-in the difterent zones in feparate columns. By the above rules I meafured the annexed map of Germany, including the Auftrian Netherlands, taken from Mr. D’Anville : The following table fhews the refult and its relative proportion to the areas of different authors. Mr. D’Anville’s map taken from his yy ~ firft part of Europe, 1754 - 192552 | 2 Templeman’s Survey of the Globe - 156950—~35602 —1 os Bufching, 1780 - - 177984—14568 — 2g (Statiftiche Ueberficht) in German, [58 1786 -— - - 1Q2000— 552 — 8 Crome on the Size and Population of | 3 Europe, 1785 - - - 204736—12184+ | Vou. VI. K 2 IF qe ice. Ir the above method of finding the fractional area is not thought fufficiently correct, I would propofe the following, more laborious, indeed, but, if properly executed, more accurate. A QuaDRILATERAM not exceeding ome degree in extent, when accurately drawn on @ plane Carface, will produce an area by care- ful menfuration differing about T- 3 {quare miles in 1000 from its true extent on the fphere; this error therefore being imma- terial, delineate each quadrilateral in the fractional area on auie- parate paper, and having drawn the contour line through it with great care and accuracy> meafure each part as directed above, and -¢ the fum of the areas refulting from this operation nearly equal that in the table, the operation may be confidered as free from ma- terial errors 5 the {mall difference that arifes muft be proportionally divided between the parts of the quadrilateral, that the whole and parts may be perfeally confiftent, and the numbers thus corrected written in their proper fpaces in the map. Area of | | | \ v | ee TE as be hiss 7 ) | zoel \ ie Nos RA \ |? 2¢ Dd? Aye Area of Germany and Switzerland, according to the Map of Mr. D’ Anville, meafured by the foregoing Method. GERMANY. — FraGional Areas. Fradional Areas. wt 530.0 400.0 ov 112)./0 is 1443. 8 SS 0.0 7 1872.8 | 8 a 390.0 I 23210, Si 1242.0 ny | -— Be ee eB) tee Pa 2734.0 400.0 —— —_— —— 570.0 TAN) CO) 1007. O 2279. 6 = 1129. 8 1672 . 6 | 1426.38 a 1094. 0 Lak 961.0 } 2236.6 65° <0 — 1792. 6 —_——_— —_ —_ —. Aye 5559 - 6 9232-4 9 825.0 lS rh 1082.0 581.0 l ——————= —_ — ——- 658.0 a) 1907 . 0 s 1738 . 6 — |—_— | 380.0 270.0 = 6.0 1338.2 PTR PATTER, ¥ 1928 . 2 3363. 6 Bry 2014.2 Sey SS Sy I 640.0 960.0 n 20.0 a 2195.1 eee ee eee 7 580.0 6210 . 6 © 10.0 ae a ee + j—_——-——_ | 275.0 3748 . 1 848 . 0 ies aaa Aaa | 896.0 5:0 | | 63.0 ents) 41-0 2395-40) | 130.0 1050. O 824.0 an 1105 . 0 Tabet 520.0 | 20.0 es) 30.0 nN | aes 2044.7 Gh 270.0 1480. 7 | 867.0 25-0 | o7 . 6 FO a Fermeren i. 50.0 599° - 4 Iz .0 Say RugenI. 310.0 6043. 6 eee ee K 3 - GERMANY. yc mel GERMANY. Between 45 and 46 - - 2734-0 AS AT - 9232-4 47—42 - - 3363.6 48—49 - - 3748.1 497 FONT mare Meh Gs Boshi - 3739-6 5 eet = /5559r=) 6 5253, = Sp QO Teh 53—54 - - 6210.6 54 SM is - 6043 . 6 Total fraGional area - 48528 . 9 Total integral area - 144023. 6 Total area of Germany - 192552. 5 ——$—_ Germany, in the above area, comprehends the Auftrian Netherlands, Dutch Lim- burg, Pruflian Guelders, that part of Iftria fubjec&t to the Houfe of Auftria, and the territory of Aquileia. SWITZERLAND. 85 Between 45 and 46 - j 245 105 Ppa 78 | 1594 . 6 2384.6 46 — 47 - 4.2289 . 6 | 1947 . 6 15.0 L 70.0 460 59 s 1497.6 47 4 1770. 6 690.0 Total area of Switzerland - 13227 . 6 Switzerland, in the above are, comprehends the Swifs-cantons, their allies, their fub- jects, and the fubje@s of their allies. THREE SCHEMES for CONVEYING INTELLIGENCE to GREAT DISTANCES Jy SIGNALS. By JOHN COOKE, By; MRL 4. Tue great expedition with which the French Telegraph tranfmits difpatches has excited a confiderable degree of public attention; its ufe in war is manifeft, and ‘tis probable that it may be applied to commercial purpofes with equal fuccefs. While the knowledge of this invention remains confined to any mation it muit be attended with advantages inconfiftent with the interefts of other countries, and therefore an attempt to dif- cover the principles of it, or to fupply new methods of effecting the fame end, is capable of confequences beyond the mere gra- tification of curiofity. Tue. firft ftep neceflary in the following plans is to exprefs words by the fmalleft poflible number of charadters; for this purpofe let the correfpondents be furnifhed with fimilar alpha- betical Read Dec. 6, 1794. SP icra: betical vocabularies of our language, omitting fynonymous terms, and fuch as are not abfolutely neceflary ; they fiould contain the proper names of men that generally ‘occur, the names of contiguous and important places, and an appendix of fuch phrafes and fentences as the correfpondents may expect to have occafion for; to the words of thefe vocabularies are to be an- nexed in marginal columns the fingle letters, and the different combinations which arife by joining any two, or any three letters of the alphabet together, fo that every word and fentence in the vocabulary may have a fign to reprefent it, confifting of one, two or three letters at the moft ; the variety of combinations thus produced by twenty-four letters (each combination con- fitting of two or three letters only) far exceeds the number of ufeful words, and affords figns fufficient for a very copious ad- dition of fentences. Wuew intelligence is to be conveyed, the lift of fentences annexed to the vocabulary fhould be examined for one adapted to the occafion, and if any of them apply, the fymbolical letters annexed thereto will denote it; but if there be no fuch fentence in the colle@tion, the matter is to be put into the feweft words which perfpicuity will allow, and the fymbols which reprefent thefe words are to be fubftituted for them; thus the fentence may be exprefled by a fet of letters which feldom amount to half the number neceffary to fpell the words of it. When proper ares a proper names occur which are not found in the vocabulary, or which cannot be formed out of any words in it, they muft be exprefled by their conftituent letters, and admit of no abridge- ment. If fecrecy be required, any preconcerted alteration of the arrangement of the words in the vocabulary will render the figns unintelligible to all except thefe who may be in poffeflion of the key. Arrer a fentence fhall be reduced into fymbols or figns, the next confideration is to convey them expeditioufly to a great diftance by a fimple and certain method. Light feems to be the moft proper inftrument for this purpofe, and may be applied in the following manner : Ler the fpace through which the intelligence is to be tranf- mitted be divided into ftations, and at each of them let three lights be placed at confiderable diftances from each other, fo as to be diftinguifhable from the two next pofts or ftations : let there be a method provided of obfcuring any of them at pleafure. Ar each ftation there is to be a perfon appointed to look out for fignals at a certain hour ; the fignal requiring attention may be the exhibition of the three lights, and the fame may be alfo the fignal of readinefs to receive the communication: thefe three lights are intended to reprefent the three places of the fymbolical letters [ Be4] letters of the vocabulary, and their obfeurations denote the letters which occupy thefe places; thus one obfcuration fignifies A, two. B,. three C,, &c. Suppose it were required to communicate the word “ victory,” the three lights are to be exhibited from the firft ftation; and. when the fame appearance is feen from the next ftation, the vo- cabulary is to be fearched for the fign of that word, which we will fuppofe to be K B 4; then the firft light is to be obfcured ten times, the fecond light twice, the third once, and then all may be concealed together to fhow that the word is complete. Thefe fignals fhould be obferved by two perfons at leaft from the next ftation, and if the refult of their obfervations fhould vary and occafion doubt, the fecond ftation may exhibit’ two lights only, which fignal requires a repetition of the laft word ; but if there be no difagreement among the obfervers, the fecond ftation proceeds to tranfmit the fame fignals which it received to the third ftation; and in the fame manner they are commu- nicated through all the intermediate pofts, until they arrive at the end of the line, where the obferver examines the figns or fymbols in his vocabulary for the letters K B 4, (which may be eafily found if arranged in alphabetical order) and there finds the word “ victory” annexed to it. When the communications are to be forwarded by day, flags or any other objec vifible by day may be ufed, and their elevations and depreflions may be fubftituted ae a he Bees ? ae wre eae ER SES Ae GS TRS een Ms ees on Ts } Wily TAA NUD i HILAIRE ACA A LUNN {visnmany ny LD, GR ATONE A MAAN poe] fubftituted for the exhibitions and occultations of the lights; even a fingle light or flag may be made to anfwer the purpofe, if any contrivance be annexed to fignify to the obferver when the occultations which denote a. letter are ended, and alfo when a word is finifhed.. ANoTHER method of transferring thefe fignals is by altering the fituations of thefe lights or flags, the plan of which will be. better underftood by a diagram than by any general defcription. Tue point £. fig. 1. reprefents the place from which the in- telligence is to be fent, and the point G that to which it is to: be conveyed. In the horizontal line 4 B, 24 points are aflumed. at equal intervals to reprefent the letters of the alphabet, and marked as in the figure: When. it is intended to fignify a fen- tence or a word, lights by night, or flags by day, are to be fet up in the points of the line which reprefent the fymbolical letters that denote it, and: the‘ true pofition of thefe lights or flags may be thus afcertained: at the point G.. Let. there be a pole ereéted at a convenient diftance from G in the line G F, as at C, and a line DZ parallel to 4B be graduated as 4B, and. marked as.in. the figure with. the 24 letters, the obferver at.G moves his eye along the line D £ until the edge of the pole C is feen in the fame line with the light exhibited in the line 4B and the pofition of his eye in the line DE marks the letter Vout. VI. L. fignified. fj]. e ] fignified by the fignal in the line 4B: and thus by three lights by night, or three flags by day, may the fymbolical characters of a word or fentence be communicated. However it muft be obferved, that though the letters be thus reprefented, their places as they are written in the fymbol do not appear, therefore it will be necefflary that after the fignals fhall have been fufliciently obferved, they fhould be removed in the order in which they are to be written, fo that the fignal which reprefents the letter at the left hand in the fymbol fhould be firft removed, that of the middle Ictter is next to be removed, and the fignal of the right hand letter is to be removed lati: or their order may be denoted by the fhape or colour of the flags or lights. Since the triangles 4B C, CDE are fimilar, ‘the fires 40: AB:: EC: ED. whence it follows, ‘that if the diftance 4C be ten miles, the line 4B 240 yards, and the diftance EC a quarter of a mile, that the line D £ will be fix yards, and the graduations on it nine inches afunder, a {pace fufficient to prevent confufion or: miftake in afcertaining the place of the fignals fixed in the line AB, or if at the point where the obferver is placed, a telefcope be fixed, with a micrometer annexed, it will be poffible to afcer- tain the places of the fignals with a great degree of nicety, and two lights in that cafe will be fufficient to defignate a word or fentence. In order to effet this an alteration muft be made in the vo- cabulary, by changing the fymbols of the words, from letters to a ee Le 83. J to muinbers; beginning, with unity and proceeding in regular order to the'extent required, which “tis fuppofed will not exceed ten thoufand... Then if the line in which the fignals are to be placed be 25§ yards: 7 inches leng, it may by divided into one hundred parts:of 7 feet S:inches each, the extremities of which. parts fhould be numbered, and if there be two lights or two flags diftinguifhable by their fhape, or by their colour, or by both, one may reprefent units, and the other hundreds, by which any. number under tem thoufand, and of ,courfe,any word or fentence in the vocabularys¢an be exprefled; for inftance, if the number of the word to be communicated be 5796, the flag or light - which reprefents hundreds is tobe placed in the graduation of the line of fignals marked. 57, which fignifies fifty-feven hundred, and the fignal which reprefents units is to be placed in the gra- duation:marked..96, which denotes the number ninety-fix, the fum. of »whick is the fymbolical number propofed. In order to obferve thefe fignals and their places, Mr. Cavallo’s inftrument (deferibed in, the Philofophical Tranfactions of the year 1791) feems;-to: be) well adapted, it is, a, micrometer of a very: funple kind, ‘applied toa three feet achromatictelefcope, which} magnifies about cighty.four times, and with which he could ;meafure an angle of 7: deconds accurately ; the fcale of it may, be fo! marked that the numbers reprefented by, the fignals may be,feen at the time of obfervation without calculation or moving any of its parts. ) L 2 Mr. [i 3 Mr. CAvaLio fhows in ‘the fame paper that an’anple of’ one* niinute’ includes a’ chord of fix féet* at 20626 feet: diftance ;4 whence it’ fellows from the nature of fimilar ‘triangles; that at: the diftance of 52800 ‘feet or: tem miles; the’ chord of the fame afigle will’be 151 feet nearly, and‘ 7: feet: 8 inches; the length of the divifions of'thefignal line,» will be feen under ‘an angle- of half a minute nearly, at‘ ten miles diftance, which may be taken with great certainty, fince- the ‘inftrument: is: capable of: meéafuring ‘a fourth part‘of this ‘angle ; another caufe which muft: contribute® materially t6 the exatitude of the obfervation is;: that both the telefcope and micrometer are to remain perma- nently fixed, as well in their direction asin the relative pofition’ of all their parts, and if the fcale of the micrometer’be gradua- ted by’ the fignals of the next ftation, nothing but fome difturb- ance of the machinery cam occafion error, fince the: fame im-: moveable mark on the {fcale is always referred to the fame im=’ moveable object. Er ig evident, from the preceding’ méthod, that any fort of” fignals capable of communicating all the numbers under ten” thoufand will enable the correfpondents to denote words and” fentences thereby, and it feems poffible to-accomplith this by an’ inftrument fomething like what we conceive the’telegraph to be, 4s reprefented in the drawing, fig. 2. It is an upright pole with two immoveable tranfverfe arms, CD and £ F, at the extre* moities [ft 835 7 niities of which’ are placed. hands capable of being moved round | om their’ extremities by. pullies:and ropes ; each of thefe. hands | is capable of ten different: pofitions; which: are fufficiently. dif+ tinguifhable from each other,.as may be feen in fig. 3, and which may reprefent the ten cyphers, and if we fappofe the hand at & to reprefent units, that-at C to-reprefent tens, that at D to reprefent:hundreds, and that at F thoufands, it is. plain that the number of any word under:ten-thoufand may be; denoted, by a fingle arrangement of the parts of the inftrument, and that thefe may: be: obferved at a> great’ diftance by-avtelefcopa.: for in- ftance, if: it: were required to reprefent the:number 2701, the: hand:at¥ isto:be-put into the fecond pofition, that at D into the feventh, C-into the.tenth,,and £ into the- fist pofition, If it were neceflary to reprefent a-word the number of which was 26; the hands at / and at D are to be put into the tenth pofition, to fignify no thoufands no hundreds, that at Cinta the fecond, and that at. £ into the fixth pofition. In order to work this inftrus ment, there may be-a-pulley affixed to the end of each hand,.and arope, the ends of which are to be joined together, is to pafs, over it, and alfo to pafs over'another pulley of equal-diameter at the bottom, fo that the hand may be moved by moving the: pulley below; let the lower pulley be furnifhed with an index, and let the numbers, which it may be required to reprefent by the liand above, be written on a fixed circle round the lower pulley: fothat the index. may be turned to any of them, and faftened: there 3S [ 86 ] there; then the hand may be brought into the pofition re- quired, by placing the index below on the number to be re- prefented; and thus any perfon, though not acquainted with the fignals, can work the machine without danger of error, and fignify the numbers with almoft as much difpatch as they could be written. The form of one of thefe pullies with the ropes for working the hand is feen in the drawing at 4, and the three remaining hands are underftood to be furnifhed with fimilar machinery. Ir may be ufeful to obferve that it is not neceflary that the correfpondents fhould underftand any common language, for if they be furnifhed with vocabularies in their own refpedctive tongues, and if the fame fymbols be referred in each to a word of equal import, every correfpondent will underftand it through the medium of his own tongue, and the fymbols will anfwer the purpofe of an univerfal language for thefe, and alfo for other communications. [ff 8% ] ediidctenaitatal OBSERVATIONS on the POWER of PAINTING to expref MIXED PASSIONS. By. the Rev. MICHAEL KEARNEY, DoD ik Mechta i) A ¥ H E difcourfes of the late Prefident of the Royal Academy of Read Nov, Painting, &c, not only difplay a profound knowledge of profef- 14, 1795. fional theory, but alfo contain many general tranfcendental prin- ciples of all the finer arts. The ftudent of poetry or eloquence may derive from them almoft equal inftruGion with the painter. It is therefore with the greateft hefitation I venture to examine the juftnefs of a decifion made by fo philofophical an ‘obferver of human nature. In the difcourfe delivered December 10, 1772, he cautions the young artift againft aiming at the union of contradi@ory excel- lences, which muft necefflarily be mutually exclufive of each other. He then cenfures fome perfons who have been fond of deferibing ihe exprefion of mixt paffions, which they fancied to exift in fome favourite work. Such expreffion he pronounces to. be [ 88 ] be out of the reach of art, and only afcribed to fuch works by perfons who, not being of the profeffion, know not what can or cannot be done. Waar Sir Jofhua Reynolds declares to be beyond the reach of art it is indeed hardinefs not to admit as impracticable ; yet as the queftion does not turn on the technical fkill of a painter fo much as on the powers of the human countenance, it mnay not be improper to difcufs it. Pr this opinion were admitted in its ftri€teft fenfe, the painter muft be pronounced incapable of exhibiting any but the merely elemental. emotions, as moft of the paflions that affe@t the mind in the complicated tranfactions of human life are in a cer- tain degree of a mixed nature. This however is ungeftionably not the meaning of our author. It appears from the tenour of his argument that many affections in which a philofophical ana- lyfis difcovers a compofition were confidered by him as fimple, and that he confines his obfervation to fuch paffions as are in a popular fenfe called mixed. I usr firft take notice, that the examples of falfe judgment drawn by. the Prefident from Pliny, relate to fixed, habitual, chara€teriftical qualities, not to paffions occafionally exerted. Yer without-recurring to the powers fuppofed to be inherent inthe human face by @ modern fanciful phyfiognomift, may not the Sa ee eo ae "89. -] the habitual temper, and even the blended ingredients that form it, be difcerned often in the afpect? Pliny defcribes the ftatue of Paris by Euphranor, which feprefents him as judex dearum, amator Helenz, & interfef@tor Achillis. _ This inftance from fculpture is cenfured by the Prefident ; and yet why may nota dignified form and an expreffed charaCter of martial gallantry be united with the marks of an amorous temperament ? 5 Tue charateriftical portrait of the Demos Athenienfis, men- tioned by Pliny, and faid to be allegorically painted by Parrha- fius, is indeed a moral moniter, formed of qualities utterly incompatible. Volebat namque varium, iracundum, injuftum, in- conftantem; eundem exorabilem, clementem, mifericordem, excel- fum, gloriofum, humilem, ferocem, fugacemque & omnia pari- ter oftendere. Such a picture is beyond the reach of art; and it is as impracticable for painting to delineate fuch an affemblage of contradictions as for the imagination to embody- the mutually exclufive qualities brought together in Lock’s defcription of the abftraat idea of a triangle; or for the foul of Cardan to have cemented into one mafs the warring vitious paflions with which, in the vifions of his diftempered faricy, he feemed polluted. But to come near to the queftion: Can it be doubted that every indication of inward emotion which the countenance is capable of affuming the pencil of the painter may imitate on the canvas? If the original difplays a fenfible confli€ of paffions why muft the power of the imitative art be limited to an indy tint and imperfect marking ? Vot. VI. M Ir [Oo Ir then the above maxim be incontrovertible, as I think it is, we have only to enquire whether in fact the countenance ever expreffes a mixture of emotions? While the foul is affected by any paffion, if it be affailed by another of a different or dif- cordant nature, the former will either give way or contend for predominance. In the firft cafe there will be a moment of fluQuation, during which the expreffion will be uncertain ; that of the former not being totally effaced, nor the other yet exclufively afcendant. Thus the lover in Lucretius viewing his miftrefs. in vuliw videt veftigia rifis. This tranfient. interval re- fembles thofe points of time fo happily feized by Ovid in the Metamorphofes before the entire recefs of the firft form or con- fummation of the new one. Though the painter’s art, con- fined to a fingle infiant, could not delineate the rapid train of paffions, which dimm’d the face of Satan on the view of Eden, and ‘thrice chang’d with pale ire, envy and defpair, yet were he even to felect the moment, when bis griev'd look he fixed fad, ftill it muft be Satanic fadnefs, tinged with deep malice and. re- venge. I could almoft conceive, that as the fculptor in the ftation of a ftatue can imply its being in aGual motion, fo the magick of the painter can fuggeft to us how tranfient the emo- tion expreffed is intended to be—If the firft impreffed paffion be firm enough to contend for fuperiority with that fuperinduced, does not experience prove that the features wear a form very different from that which cither paflion fingle would produce? Does not the expreffion participate of the charater of each? Is there no difference, but in degree, between the afpect of a man opprefied he eygr oppreffed by fear, and of one difturbed by complexional timi- dity, yet fupported againft its influence by rational felf-difcipline? The countenance of Coriolanus during the fupplication of his mother and wife muft have pafled through a feries of expreflions from that of an affumed cold ftatelinefs, with which he covered his feelings, till when overpowered by natural affeCtion bis eyes did fweat compafiion. Through the whole of this confli@ at no time did his countenance indicate an unmixed emotion, and even at the concluding triumph of filial duty, the great interpreter of nature hath reprefented him diftraSted almoft to agony : Oh, my mother, mother! ob! You have won a happy viétory to Rome: But for your fon Believe it, oh, believe it— Moft dangeroufly with him you have prevail’d, If not moft mortal to him. But let it come. ANDROMACHE daxpucey yedacaca (6 Iliad, 484) readily occurs as a beautiful illuftration of the power of the countenance to ex- prefs blended feelings; it does not however appear to me to come fo near the effence of the queftion as to be competent to fupport the decifion of it. A variety of foft images rufhed at once on the mind of Andromache; her heart was melted with a recolleftion of the many tender circumftances that form the aggregate of domeftic happinefs; and Heétor’s perilous ftation excited a fear of lofing him who fupported this happinefs; the little incident of infant terror quickened this mafs of tendernefs , yet thefe emotions, being of a kindred nature, eafily coalefce into M 2 one fF ag one united charity. We have here a combination of concurring, not the perplexity of contending paffions. Mingled tears and fmiles are often marks of the affectionate feeling, though on moft occafions they denote contrary paffions. A more applicable inflance may be found in the Odyfly, (19 Odyf. 471.) where the great poet defcribes, with exquifite force and truth of colouring, the effet which the fudden recognition of her old mafter pro- duced in his nurfe Eurycleia. ==) vet / Autry 7 v \ v Lay O cpuce NEP nour adyos EAE Gpevae. Tw de ob oooe Aaxpuopw may Sev. barep'y de ob ETYETO Puy. Tue celebrated piture by Timomachus, in which Medea is reprefented meditating the murder of her children, has often with. propriety been quoted as exhibiting a fituation in which a confli@ of paflions muft have arifen : Ira fubeft lachrymis; miferatio nec caret ira. And it may be here obferved, that this expreffion of rage, con- trouled by fofter feelings, muft be more impreffive and affecting than that of the frenzy which would diftort the afpe€t of Medea in the aét of infanticide; and which, becaufe incapable of being heightened, would leave no room to the productive power of imagination, which it is the office of painting rather to excite than to faturate. Perhaps above all others the following is the moft appofite inftance: Junius Brutus is graphically defcribed by Livy as prefiding at the capital punifhment of his fons, whom he Oa em he had condemned to die; && qui /pectator erat amovendus, cum ipfum fortuna exactorem fupplicii dedit - - - - - quum inter omne tempus pater, vultus & os gus [pettaculo effet. Bur what appearance in the countenance of Brutus {fo ftrongly interefted the attention of the beholders? They furely faw fome- _ thing more than the expreffion of a father’s heart wounded by the fufferings of his fons. They traced a fevere internal conflict ; they obferved vifibly charactered in his face and gefture the vigo- rous but ineffeGual efforts of nature to burft the reftraints with which ftern republican juftice had fettered her yearnings: Emi- nente patrio animo inter publice pene minifterium. aap abide. aes OR : oie Inebee et ey Ss 2 = pee i is bynes. 5] eS SE Ee eS OE SS SE EES © a Rew a a SSS SSS An ESSAY on the ART of CONVEYING SECRET and SWIFT INTELLIGENCE. By RICHARD LOVELL. EDGEWORTH, Zy. F.R.S. and M.R.L. A. THE art of conveying intelligence by founds and fignals is of the higheft antiquity—lIt was practifed by Thefeus in the Argonautic expedition, by Agamemnon at the fiege of Troy, and by Mardonius in the time of Xerxes. It is mentioned fre- quently in Thucydides; it was ufed by Tamerlane*, who had probably never heard of the black fails of Thefeus,; by the Moors in Spain, and by the Welch in Britain; by the Irifh, and by the Chinefe on that famous wall, by which they feparated them- felves from Tartary. Tuesevus furnifhed his fhip Argo with black fails as prophetic mourning for his expected fate ; but he promifed, that if he were fuccefsful he would upon his return put up a white fail to inform his father and his countrymen of his fafety. Flufhed with victory the young telegrapher forgot his fignal. The Athenians on: *- Vertot’s Knights. of Malta, Read June 27th 1795. [ 66 } on the fhore watched with eager eyes for his return; old A’geus faw the black fignal, and certain that his fon was dead, he threw himfelf from a rock into the Aizean fea f. Tue fignals of Agamemnon are beautifully defcribed in A chylus, and every ftation is pointed out with geographical accu- racy, Tamervane’s telegraphy was not very refined, but it was fufficiently intelligible. Whenever he laid fiege to any town he ufed to employ three fignals—the firft day he fet up a white flag, to fignify that he was difpofed to ufe clemency to thofe who immediately furrendered ; the fecond day his fignal was red, to fignify that he would have blood, and that the lives of the governor and of the principal officers of the garrifon muft pay for their temerity ; but the third day his black ftandard declared that whether the place furrendered or was taken by ftorm every body fhould be put to the fword and the town utterly de- ftroyed. Tue Moors built many towers in Spain; they were placed on the principal eminences in the kingdom, from whence, by means of lights and fignals, they could correfpond with each other. Thefe towers in many places ftill remaint. The cele- brated + Perhaps Cervantes recolle&ted the black and white fails of Thefeus when he wrote his Galatea. ; { The Afiatics and Arabs pra@tifed the art of fpeaking by fignals, as we are told by Haffelquift and Marigni. : . : f i L997" 1] brated Mr, Pennant has difcovered and traced with great accu- racy a long feries of ftations in Wales from Penbedu to Cop yr Goleuni, or Hill of Fire; thefe he enumerates in Cambrian or- thography, with which I fhall not fwell this paper. Bortuius fays that in his time there ftill were left in many places in Britain remains of huge poles on which barrels of pitch were elevated to give fignals by night and day; and it is faid that the cuftom of lighting fires in Ireland upon St. John’s eve is a commemoration of antient fignals by fire. ‘Tue defcription -of the wall of China is familiar to us, but it implies ideas of extent and magnitude beyond our habits of com- parifon, and fcarcely within the reach of imagination. We can form no adequate idea of a wall. fifteen hundred miles in extent, peopled with centinels who can fpread an alarm with the celerity of an ele@ric fhock through the nerves of a vaft empire. DirFeERENT methods were ufed by the antients for the rapid communication of intelligence—by fight and by found. Smoke by day and fires * by night were the ufual fignals of particular Vou. VI. N events ; * As the papers of this Academy fall into the hands of the fair fex I muft not omit paying due honour to the memory of Hero and Leander. The poem of Mu- feus is almoft forgotten; this will never be the fate of the following beautiful lines ‘of a modern poet: itd So [98 =] events; thefe fignals by degrees were applied to an alphabetical arrangement, which is minutely defcribed by Polybius. The ancients had a much more ingenious contrivance, that contains the principles of all the improvements which have fince been made on this fubje&. The Clepfydra was ufed like an hour-glafs, to count time; it confifted of a tall veffel with a hole at the bottom, through which water paffed flowly. ‘The defcent of the furface of the water marked the lapfe of time: Two- fimilar Clepfydras, with the addition of a floating gauge in each, on which different fentences were infcribed, were fet in motion at once by a fignal, and were ftopped by another fignal when the fentence on the floating gauge defcended to a certain index. But a ftill more compendious method of communication was fuppofed to exift in the 16th century. It was reported that two magnetic dials, with the four-and-twenty letters infcribed on their circumference, would by means of felf-moving hands point to the letters which the correfpondents meant to indicate. The great Bacon believed in thofe fympathetic dials, and the learned. «© So on her fea-girt tower fair Hero ftood «¢ At parting day, and marked the dafhing flood ; «¢ While high in air the glimmering rocks above, “ Shone the bright lamp, the pilot ftar of love— ‘¢ With robe outf{pread the wavering flame behind «¢ She kneels, and guards it from the fhifting wind ;- « Breathes to her goddefs all her vows, and guides s* Her bold Leander o’er the dufky tides.” Dr. Darwin’s Botanic Garden. son 4 learned Sir Thomas Browne, in his enquiry concerning vulgar errors*, gravely informs us that he procured two dial plates, ac- cording to dire€tions, magnetifed the needles, and repeated the experiment in form, but to his infinite difappointment, “ the “ needles, though but a {pan removed from each other, ftood like “ the pillars of Hercules:” He then proceeds to confute the theory “ of this excellent (and if the effect would but follow) “ divine conceit,” by fhewing that magnetic needles fhould in- fluence the motions of cach other, not in the fame, but in con- trary dire@tions; had this been the only difficulty, it had been eafily obviated by reverfing the order of the letters in one of the alphabets. Docror Johnfon, in his life of Browne, laughs at him for having taken the pains to try “ fuch a hopelefs experiment,” _ remarking “ that he might have fatistied himfelf by a method “ lefs operofe, by thrufting two needles through a cork and “ fetting them afloat in two bafons of water ;” but Browne, he obferves, ‘‘ appears indeed to have been ready to pay labour for “ truth.” Tue ftory of thefe dials had, I believe, fome foundation, but, as it ufuaily happens in popular ftories, much fiction has been mingled with fome truth. N2 Ir * Book 2d, page 57. Cs Teer] Ir two clocks were furnifhed with hands, and with dial-plates containing the alphabet, the motion of each of them, might be unlocked at a momentary flafh or found, and they might be . {topped together at any letter by a fecond explofion. I am informed that a very ingenious member of this Academy has {poken of fuch a contrivance*—With proper precautions, and by fubftituting numbers correfponding with a vocabulary inftead of an alphabet, this invention may be perfected. I cannot help re- marking, that by the experiment of Sir T. Browne with two diftin@ dials, &c. a hint might have been obtained of a practi- . eable contrivance; but by Doctor Johnfon’s cork, with two needles thruft through it, nothing could be obtained but difap- pointment. Vulgar tradition and poetic allegory are neither to be implicitly trufted nor haftily defpifed}. The incredulity of mankind in fome inftances appears as furprifing as their credu- lity in others. The difpofition to ridicule every fcientific pro- jet as abfurd until it has been abfolutely brought to perfe&tion has been the common topic of complaint amongft men of inyen- tive genius; and. it is curious.to obferye that poets, who fuffer fo much themfelves by the taunts of men of the world, and by the apathy of the vulgar, fhould in their turn revenge them- felves. * A fimilar contrivance is mentioned in Hooper’s Rational Recreations. + In a beautiful Arabian tale, written perhaps a hundred years before the time of Gallileo, in which we expect nothing but fiction and extravagance, we find that the air balloon and the telefcope are introduced in the contrivance of the fable. is i ten J felves upon men of feience, and treat their fpeculations with difdain. Ben Johnfon has attempted this in one of his mafques with a degree of humour which is not always the portion of thofe who throw ridicule on fcience. Merefool, the clown of the piece, confults an adept, who promifes to inftru@ him in all occult fecrets, and to fhew him apparitions of all the learned men of the ancients; but every man who is called for happens to be bufy, from Pythagoras “ who has rafhly run himfelf upon “an employment of keeping affes from a field of beans,” to Archimedes, who is meditating the invention of « A rare moufe trap with owls wings, < And a cat’s foot to catch the mice alone.” Not only the fame tafte for ridicule, but the fame ideas we find repeated, with a flight alteration, at different cras; Ariftophanes and Lucian amongft the ancients*, and Butler}, Swift * A balloon may be carried forward with certainty and celerity in any direction where there is no perceptible wind, if it is alternately lowered and elevated by al- tering from time to time its fpecific gravity, which may be done by various means without lofing much hydrogine gas; and if it be furnifhed with fins or {mall fails and be fet to a proper angle with its line of afcent and defcent, their vertical pref- fure againft the air will impel the balloon forward. Swift maneuvres his Laputa in this manner. I tried this invention on a {mall balloon in the houfe of the late ingenious Dr. Uther, the friend of {cience, and of thofe who withed to improve it. + See Butler’s ridicule of the ingenious idea of making ufe of pendulums for a univerfal meafure. Canto 3d, page 87. |. Mean] Swift and Voltaire, the three great modern mafters of ridicule, have in various fhapes the fame ideas, and are alike difpofed to confound the ingenious and the extravagant. The beft way of parrying the ftroke of ridicule is to receive it with good humour ; laugh with thofe who laugh, and perfevere with thofe who la- bour, fhould be the motto of men who poffefs the powers of invention. Tue late Door Johnfon, who in his Raffelas ridiculed the idea of the art of flying, lived long enough to fee the afcent of the firft air balloon. SEVERAL attempts have been made to convey ideas by founds louder than the human voice. Even the voice of Stentor was infufficient to reach a whole army, and the fpeaking trumpet * was invented to convey the orders of the general in the field of battle. It is mentioned in Afchylus; and Alexander is faid to have poffeffed a trumpet of fuch aftonifhing powers as to convey his commands to the diftance of one hundred ftadia, nearly twelve miles. Tuose who wifh to turn their attention to the improvement of fpeaking trumpets, of tubes, or of buildings for magnifying found, * Sir T. Morland and Kircher difputed long and loudly their refpeétive claims to the invention of the {peaking trumpet. It is fingular that the latter fhould forget the ftentorophonic tube of Alexander, the figure of which is preferved in the Vatican. f 203] found, will be pleafed with an ingenious memoire of Beau- mur’s in the Academy of Sciences t+. “ Sur le fon que rend le « plomb en quelques circonftances,” with the obfervations of Monf. Sauveurt. The memoire of Maupertius § upon mufical inftruments—An excellent fet of experiments by M. L’Abbé Nollét|], “ Sur la tranfmiffion des fons dans l’eau ;” and a fhort letter amongft the mifcellaneous papers. of the judicious Franklin, will probably be found ufeful—Nor will any man of genius. neglect the enthufiaftic prediGtions of our great philofopher Doctor Hooke*. In his method of improving Natural Philofophy he fpeaks of the inftruments which may be contrived to enlarge the powers of our fenfes. He fubjoins to what he fays on the fenfe of hearing the following apology : “© Meruinxs I can hardly forbear to blufh when I confider- “ how moft people will look upon this, but yet again I have “ this encouragement, though thefe things be never fo much Cal _“ derided by the generality of men, and never fo feemingly mad, o * foolith, or phantaftical, that as the thinking them impoflible can- ; “ not much improve my knowledge, fo the believing them pof- * fible may perhaps be an occafion of my taking notice of fuch, * things as another would pafs by as ufelefs.” Tuts is not enthufiafm, but found fenfe ;—men of enlarged minds admit univerfal toleration for conjeCture and theories, be- caufe +-M. 1726, page 243. 464. } Hiftoire 1701, page 25. § Memoires 1724, page 215. ||. Memoires 1741, page 199. * Doctor Hooke’s Pofthumous Works, [ “404 ] caufe they confider them as the means of roufing aivity, and of exciting to experiment and patient obfervation. A man who has a theory to fupport muft concentrate his attention, and will quit the idlenefs of mere ingenuity for that induftry which leads to truth—affertions and déeclamation he knows will avail him little, fats, which ultimately decide all arguments, muft be ranged under his banners, if he afpire to the honours of a triumph ; nor is it by any means neceflary that the fpeCctators fhould be parti- zans; the moft complete indifference may be preferved as to the theorift, and even as to the theory. ‘ i rHouGuT it neceflary to mention the attempts which have been made to communicate intelligence fwiftly by found, and to remark that it is probable that this art may be brought in time to high perfeQtion. Though I prefer different methods I would not difcourage others, nor keep my own mind fo intent upon one object as to prevent my obferving what may be worth my confi- deration in another. TueE telegraphic art was chiefly confined to war amongft the ancients; but we have reafon to conjecture that it was alfo fe- cretly employed in the management of oracles. Fontenelle be- lieved that the oracles at Delphi and at other places were deli- vered through pipes, which communicated with the apartments of the priefts*. Befides contrivances of this fort, 1s it abfurd to fuppofe * Pére Balthus oppofes this opinion of Fontenelle’s in his anfwer to the Hiftory of Oracles. [105 | fuppofe that they poffeffed fome fecret mode of receiving intel- ligence from the feveral nations who confulted them ? Cxorsus, after having been duped by various oracles began to fufpe@ their infallibility, and to obferve that they made bad verfes; he refolved to try their powers of divination before he put himfelf to any farther expenfe in coftly offerings. At a cer- tain hour, on a particular day and at an appointed moment, the meffengers whom he had difpatched to the different oracles de- manded from them “ What was at that inftant the employment “© of Croefus >* Aut the oracles were mute, except the Delphic, which imme- diately anfwered the meffengers of Croefus in thefe infpired lines +. “* T know the fpace of fea—the number of the fand, “ T hear the filent—mute I underftand. ** A tender lamb, joined with tortoife fleth, ~« Thy mafter, king of Lydia, now does drefs; “ ‘The fcent thereof doth in my noftrils hover, “ From brazen pot clofed with brazen cover.” Vor. VI. O Tuts _ ™ Herodotus, r1ft vol. + I have preferred this tranflation to all others, as beft fuited to the oracle. fF ~a06. 1] ' Tuts was precifely the ftrange employment which the king had privately devifed for himfelf. The anfwer of the oracle aftounded and convinced Creefus, and feems to have had as powerful an effe@ upon Sir’ Thomas Browne, who in his “ En- “‘ guiry concerning Vulgar Errors,” calls this the plaineft of all oracles, and deems it the cleareft proof of their fupernatural agency. Neither probability nor coincidence could have produced this marvellous reply; it has therefore excited alike the ationifh- ment of the learned and of the ignorant. But the wonder ceafes, and an eafy folution of the difficulty prefents itfelf, if we fup- pofe that the priefts of the oracle were Telegraphers. Ir is probable that fignals were firft employed for defence to give notice of an approaching enemy. The ftupendous wall of China does not appear to have been intended for a barrier againft the Tartars as a nation; it was probably meant as a defence againft their occafional inroads as banditti. To embodied ene- mies it would have prefented no infurmountable obftacle, but againft detached marauders it was an effectual fence. Gibbon feems not to have perceived the real intention of this laborious work; he fpeaks of it confequently with too little refpec&t when he affirms that “it has never contributed to the fafety of an “* unwarlike people.” It is true that their favage enemies have upon fome occafions, “‘ by their rapid impetuofity, furprifed, af- ‘“* tonifhed and difconcerted the grave and elaborate tattics of a “ Chinefe army.” But war was never the tafte or bufinefs of this [ x07 ] this automatic nation; furrounded by hordes of banditti, their with was uniformly to preferve the methodical regularity of peace. It will be allowed that it was no eafy tafk to make their cir- cumflances and their tafte agree; yet they have quietly gained their point, and they have lived the fame life for thoufands of years. Their’ dynafties have changed, but the*nation has re- mained the fame. Tue exiftence of their empire is the beft proof of its policy, and the beft argument to demonftrate that art and fcience, if we take time into the account, are able to conquer force and num- bers—if we take time into the account; for many of the miftakes in our reafonings, and in the conclufions that we draw from ex- periments, in moral as well as in natural philofophy, have arifen from our omitting me in our calculations. Ir was the policy of the Romans, which fecured to them the dominion of all the countries which they conquered, to eftablith wherever they went methods of communication and fwift in- telligence. Their laborious roads, their forts, their military obfer- vatories, are all proofs of their confummate fkill in the arts of government and of war. It is not neceflary to expatiate upon fa&s with which every perfon of literature is acquainted. The remains of thefe public works may eafily be traced. Amongft many others the lofty towers which are to be feen at Uzes, Bel- legarde, Arles, and an antient building called “ The Tourmagne” at Oz Nifmes, [ 08 | Nifmes *, were Roman watch towers, from which the Roman guards communicated intelligence to each other by fignals, of whatever paffed in the furrounding country. The advantages of this univerfal facility of intercourfe through a vaft extent of empire, divided by nature, and united more by art than arms, were peculiarly felt. , The capitals of Syria, Egypt, Antioch, and Alex- ‘andria, with a croud of dependent cities, eleven hundred and ninety-feven in Italy, twelve hundred in Gaul, three hundred and fixty in Spain, three hundred African, and five hundred popu- lous Afiatic cities ‘‘ fwell the aftonifhing lift of thefe dominions.” All thefe cities were connected with each other, and the great chain of communication from the north-weft to the fouth-eaft point of the empire was drawn out to the length of about 3740 Englifh miles. ‘“ 4It was the advantage of receiving the earlieft “« intelligence and of conveying their orders with celerity, which ** induced the emperors to eftablifh throughout their extenfive “« dominions the regular inftitution of pofts.” Ir is not from any pedantic reverence for antiquity that I appeal to precedents. Precedent, either antient or modern, is liftened to by men of fenfe only as being the voice of experience, not from its affuming the tone of authority. The legiflation and manners of the modern world differ fo much from thofe of the antient, that it would in many cafes be abfurd to apply their maxims to our fituations; and notwithftanding the great under- takings * Antiquities de Nifmes. + Gibbon, vol. 1ft, p. 6o. E .z0g J takings of the antients, the modern improvements of fcience give us evident fuperiority in feveral of the arts of life and of defence. Science is no longer reclufe, no longer inveloped in, myftery, or ambitious only of idle admiration ; fhe has difcovered that to be efteemed by men fhe muft be ufeful. In the prefent times as in the paft the power of executive government in every ftate muft ina great meafure depend upon the celerity and accuracy of its intelligence: “ Firft to watch “« and then to fpeed,” is one of Lord Bacon’s political maxims; he advifes to “ commit the beginning of affairs to Argus with “‘ his hundred eyes, and the end to Briareus with his hundred “ hands.” The hands that can execute are in every ftate more eafily found than the eyes that can obferve. WHILsT government is uncertain from what quarter an attack may come, or in what part of the country commotions may fud- denly arife, the means of affiftance muft be immediately at hand in various parts; nor whilft information is tardy or imperfeé& can the force be proportioned to the danger; there is perpetual: ha- zard of profufion or negle&. But, on the contrary, if from day to day and from hour to hour intelligence could be received from all parts of a country, there would be time for combination and arrangement ; the force of a kingdom could be colle&ted by a wifh and direéted by a word. The certainty which the people would i "ee, | would have of the immediate fuperintendence of their governors would create confidence in the good, and apprehenfion in thofe who are difpofed to mifchief. It is not the feverity and the du- ration of punifhment, but its certainty and its immediate con- ne@ion with the crime, which act moft forcibly upon the human mind. No means can be more likely to prevent difobedience to the laws, either civil or military, than thofe which increafe the probability of fpeedy dete€tion. What man would attempt to fly from the civil power who knew that his flight would be ad- vertized through the kingdom in a few minutes, and that the defeription of his perfon with the publication of his offence would infallibly meet him wherever he went? With fuch ad- vantages government would not be obliged to keep an extrava- gant force in difplay to create refpect. Whoever attends to fecret hiftories and private memoirs, from ‘The diary of Bob Dodington” to the fhamelefs “ Secret “ Hiftory of the Court of Berlin,’ will be convinced of the anxiety of courts and courtiers for early intelligence. Mirabeau paints in ftrong colours his anxiety to give his employers at the French court the earlie/? intelligence of the death of the king of Pruffia. His own perplexity, and the buftle amongft rival cour- tiers and ambafiadors, are well defcribed:—the confequence of carrier-pigeons and couriers, and the expenfe which Mirabeau was commiffioned to defray, fhew the value which the court of Ver- failles annexed to his fuccefs*. As * Mirabeau’s Secret Hiftory of the Court of Berlin, Page 50. [sae 4) As this is not a memorial for minifters, but a paper addreffed to a philofophical fociety, I may without impropriety remark, that he “ who fmote the houfe of Bourbon with one hand, “© and in the other wielded the democracy of England,” was fuppofed to have had the beft intelligence of any minifter that ever prefided over the Britifh councils. It was this circum- ftance which gave a fecret power to his eloquence over the minds of thofe who knew that his prophetic ftrain was the language of political experience, not of ignorant enthufiafm. His words, in a fpeech on the commencement of hoftilities with Spain, were remarkable. “ I do now pledge myfelf to this honourable houfe for the “ truth of what I am going to aflert—that at this very hour “ that we are fitting here together, there has been a blow of “ hoftility ftruck againft us by our old inveterate enemies in “ fome part of the world.” : _ Tus prediction, if it was a prediction, was almoft immedi- ately verified; the next poft brought news, that the blow of hoftility had been ftruck at Falkland’s Iflands. Tue advantages which by means of Telegraphy would re- fult to commerce muft, both in time of war and peace, be extenfive. In time of war the fafety, I might almoft fay the exiftence, of the commercial world, depends upon the rapidity and the accuracy of its intelligence. The relative fuccefs of merchants, [ 12 ] merchants in their feveral ventures and fpeculations muft be regulated by the extent of their information, and by their capa- city to apply that information to their conduct. To equalize their capacity is impoffible; there will always remain a confi- derable difference between the underftandings of men, fup- pofing them to be in poffeflion of the fame facts ; but, to thofe who can reafon, the great difficulty is to arrive at facts that may form juft data for their reafoning. Here I flatter myfelf Tele- graphy can materially ferve them, nor will they be inclined to treat with difdain any attempt of fcience to abridge the routine of bufinefs. Ir is curious and fometimes amufing to obferve how any new invention implicates different interefts, and how different claffes of fociety are immediately or remotely affected by cir- cumftances in which they did not imagine themfelves to be in any way concerned. A ftock-jobber, in glancing his eye down a column of a newfpaper, would fkip over a paragraph about a Telegraph, as news from the regions of fcience, in which he could have no manner of intereft. Science and ftock-jobbing do not indeed appear to bear any near affinity to each other, nor fhould we expect that a mechanic invention would have any powerful effect upon the rate of infurance; yet the eftablifh- ment of Telegraphs in proper places would produce a great reyolution at Lloyd's and on the Exchange. THE tig 7] Tue profits of infurers, which do not depend on gambling but on calculation, would be raifed, not in the immediate in- creafed rate of infurance but in the certainty of the revenue. In proportion as their intelligence was expeditious and authentic they could afford to infure on lower terms, becaufe their bufi- nefs would become more extenfive, and becaufe the hazards arifing from ignorance of foreign and domeftic events would, to them, be confiderably diminifhed. I am fenfible that the gambling ftock-jobber, and all. thofe concerned in the infurance of lotteries, ought, if they under- ftood their own intereft, to confider this invention as the ruin of their trade. Whatever brings the conduct of affairs within the limits of calculation, and enlarges the power of prudence, di- minifhes the empire of fortune, and muft be deprecated by gamefters of every defcription. A ftock-jobber traffics in the ignorance and credulity of his neighbour, againft which he ftakes his own information and cunning, and fometimes his rafhnefs and prefumption. His bufinefs is to collect intelligence, and to conceal or divulge it as may fuit his intereft. He lives by the news of the day and by the report of the moment; but fince news, even with all the activity he can employ, cannot be circulated from kingdom to kingdom, through the’ ftrects of London, the coffee-houfes and the exchange, with the fame ve- locity by the human tongue as by the Telegraph, he will hate and fear it as his rival and deteCtor; nor will any man of bu- : - Mot! 'VI. . P finefs, 7 oo ' » ae} finefs, any philofopher, nor yet any honeft man, feei the flighteft compunétion at the idea of deftroying the profits of a clafs of {peculators unprodudtive to the wealth and noxious to the mo- rality of the community. Ir has been obferved by Smith, that mankind are wonder- fully difpofed to truft to their individual good fortune, con- trary to the general experience of human affairs. This propen- fity has lately been apparent in the commercial world, and-it would be in no fmall degree ferviceable to its interefts to bring back the attention of the merchant from. chance to induftry. To give an inftance of the effects that might be produced by immediate and univerfal communication in the affairs of com- merce I need only mention the corn trade. The advantage of ° the weekly corn returns from different parts of England have been fenfibly felt; and if fuch returns would be daily made combinations would be prevented in every market in the king- dom. e Tue celebrated author of “ The Wealth of Nations” has fo clearly developed the connexion between freedom of intercourfe in focietyyand the interefts of commerce, between the facility of communication in kingdoms, and the demand for the neceffaries, or the tafte for the luxuries of life, that it would be impertinent to repeat obfervations which he has,imprefled upon the public < conviction, [i rag: ] conviction, or to explain what he has demonftrated. But the faéts which he has with fo much accuracy and elegance arranged in fyftematic order have been remarked in detail by others in the common bufinefs of life, for on thefe common obfervations compared and arranged all fyftems that are juft muft be founded. Every perfon muft have obferved the effe@ which quick and eafy communication between the parts of a country has upon its profperity. With the faculty of gratifying our tafte for the conveniencies of life the tafte itfelf encreafes, and whatever fa- cilitates the means of giving orders encreafes the produ@tions of induftry. By this freedom of intercourfe, as both expenfe and time are faved, the conveniencies, comforts and innocent luxuries of life are brought within the limits and reach of our prudence. ‘Tele- graphy we may flatter ourfelves will extend thefe limits, and ‘© will bring our wifhes nearer to our view*.” THERE is no reafon to deubt that fuch a communication will exift between the different parts of the European continent and *Pa2 Great * Puck promifes Oberon to put a girdle round the earth in forty minutes. It is not phyfically impoffible (I do not fpeak of probability) to fend a meflage from the extremity of Siberia to Cape Horn and to receive an anfwer in twenty minutes. a time and {pace nearly equal to the fiction of Shakefpeare Pt 22624] Great Britain when peace fhall be eftablifhed*.. The general ad- vantage of an immediate and fpeedy communication between this country and Great Britain are fufficiently obvious, both with refpe@ to their unity of intereft and their commercial intercourfe. Our legiflation and manners are the fame with thofe of the’Englith, and all means which contribute to unite the minds and interefts of the people muft be advantageous to both nations. Ar prefent an exprefs cannot reach London from Dublin in lefs than forty hours. By the Telegraph a meflage may be con- veyed in as many minutes. At the fame rate a correfpondence may be maintained with Cork with the fea ports of Great Bri- tain, and with any place where fuch communication may be re- quired. I sHouLp not omit to point out to this learned and patriotic Academy the ufes to which the Telegraph may be applied in the purfuits of fcience. One of our members, as highly diftinguifhed by his tafte and love for literature, as by his munificence, pro- pofed to the late Dr. Ufher the meafurement of a bafe in Ire- land for the conftru@tion of a feries of triangles, to be connééed with the operations of General Roy in Great’ Britain and’ France. The Do&or did me the honour to affociate me in this under- taking ; “Tr fcarcely dare to foretel that a communication by Telegraphs between Europe and the Eaft Indies will one day be eftablifhed, and that its effects will be more bene- ficial to Europe than monopoly or conquett. ne eee ye i a 4 taking ; and the laft lines, which I believe he ever wrote, were upon this fubjeGt. In a philofophical enterprife of this extent, as General Roy has feelingly remarked, there are more difficulties to be overcome, and more expedients required, than could be eafily forefeen. ‘Three fummers were confumed in operations that it was fuppofed would have been accomplifhed in two or three months; and a great part of this delay arofe from the neceflity of keeping up conftant communications with diftant obfervers. If the Telegraph were employed in fuch a furvey the bufinefs might be conducted with eafe and fatisfa€tion; the irkfome in- terruptions arifing from the diftance of ftations would be avoided, and every flep would be progreffive. Tue fcience of meteorology, which has lately been cultivated with fo much good fenfe by Mr. Kirwan, might receive great affiftance from the Telegraph, when eftablifhed in the principal parts of this kingdom and of Great Britain: A communication fwifter than the wind would prepare the attention to obferve thofe phe- nomena in different places,. which are fuppofed to precede ftorms and fair: weather. The manometer in particular might be cor- re€ted from the comparifon between diftant obfervations made at: the fame moment.- Wuenever the aeroftatic balloon is employed for the pur- pofes of fcience, the power of communication between the clouds and the earth, between different balloons at various heights and iD [ ERB 29 | in various places by Telegraphy, will tend to improve our know- “ ledge in many parts of fcience. Public curiofity and private gain have beea amply fatisfied by various aeroftatic exhibitions. Balloons will, I hope, foon become an object of different fpe- culation ; and at fome place diftant from the capital and from any large city, they will I hope be employed at leifure to en- large our knowlege of the atmofphere, of dioptrics, acouftics, pneumatick chemiftry, and of the animal ceconomy, fo far as it is effected by the different preffure and different qualities of the higher regions of the atmofphere. & Tiere is another important fcientific ufe to which Telegraphy may be applied—it may ferve as an introduction to an univer- fal language. Tue idea of a univerfal character and philofophical lan- guage, which all nations fhould be able to write and under- and, has been treated by many as chimerical, becaufe it has not yet been brought to perfection. The Jefuits, by the ac- counts their miffionaries fent home of the peculiarities of the Chinefe language, fixed the attention of men of learning and ingenuity upon this fubjeét The defects and fingularities of that language afforded them ample matter for reflection. The Chinefe have no alphabet of fimple founds like ours; no ele- mentary characters like our letters, from the combination of which European languages are formed. They have two fepa- 6 ‘ fy go be 1 rate languages, one oral, to ferve for the common purpofes and bufinefs of life, confifting*ef about three hundred words ;_ the other, which is referved for the ufe of the literati, for hiftory, poetry and {cience, comprifes fixty thoufand or eighty thoufand * different characters. As they have no alphabet, each dif- tin@t idea and each variation,of a thought, inftead of being ex- preffed by the different arrangement of the fame letters, mutt be denoted by a feparate charater or an appropriate inflexion. The labour of learning thefe is the labour of a life. Scarcely any of their manderines pretend to underftand the whole of the language, and a manderine who at fifty can boaft that he knows half his characters is accounted in China a very learned man. ‘Their popular language has likewife a defe@ which we ‘ fhould think muft be every day felt by all claffes of people. Each of its three hundred words, when pronounced in different tones, exprefies totally different things ; and the flighteft inflexion of the voice entirely alters a man’s meaning; fo that thofe who have the misfortune to have a bad ear mutt confequently, in China, have a bad underftanding. The fyllable Ko has ten different modes of pronunciation; and Ba, according to its va- rious accents, has fix feveral fenfes, which bear no atanicy to each other. The moft expert orators in the nation often find it impoflible to make themfelves underftood without feveral at- tempts and repetitions to explain themfelves ; and fometimes they © * Du Halde. [ aae..4 mm they are forced to conclude by + making the figure of the cha- racter:they would exprefs with their‘fingers in the air or upon a wall or table. \ Wir fuch orators action is every thing! To make the af- fairs {till more complicate, the different provinces of China {peak different dialects, incomprehenfible to each other; but they have one common written character which all the pro- vinces and alfo the Japanefe underftand and can read off in their feveral tones into their refpective languages—this fhews the poflibility of a*univerfal character being brought into ac- tual ufe. Bisuopr Wilkins, in his “* Effay towards a Univerfal Chara@er,” as he modeftly calls it, has difplayed wonderful ingenuity and a moft comprehenfive mind. His charaters are formed on prin- ciples of philofophic arrangement, fo that the fight of any char- acter defigned to denote a complex idea fhall by different lines or points reprefent or bring to our recolleétion all the feveral. parts of which that idea is compofed. Thofe chara@ers which denote fubftances or animals exprefs by flight differences at once the fpecies and genera to which they belong. This idea of claffifica- tion he traced in a few inftances in the Chinefe language. The Chinefe charaGter, that fignifies metals, with flight additions, dif- tinguifhes 7 Wilkins. | i, eee es Eo aon | tinguifhes iron, copper, fteel, &c.*; and the charater ufed for a precious fone, with certain variations, means different kinds of gems or pearls. Independently of his general fyftem his remarks upon conjun¢tions and particles are excellent for his time, though alate ingenious publication + has fhewn the miftaken principles upon which he and all former grammarians had reafoned upon the fubje@&. Dodtor Wilkins’s charaéters for irony, and to give warning that a word is ufed in a figurative or rhetorical fenfe, “might be ufed with as great advantage as the common notes of “interrogation and~admiration.. The warning note might not be approved of by poets, wits and orators, becaufe it would leffen the effet of repartee, declamation, and perhaps of the fublime, which requires fome degree of obfcurity to captivate the ima- gination, or of furprize to aftonifh the underftanding: But where accurate knowledge, rather than amufement, is required, fuch an -affiftance would be agreeable. Thofe who have turned their thoughts towards education will immediately perceive its utility in another point of view. By the help of this note children would underftand part of the poetry which they are obliged to learn by heart. Ir is not poffible to explain Wilkins’s fyfem in a few words: Allowing for the phrafeology of his time his copious folio is {carcely too large to do juftice to his ideas. _ Vor. VI. =O): WHEN * See an ingenious Effay on Symbols and on Charaéters ufed by Chemilfts; by Dr. M. Wall.—Mem. of Phil. Soc. Manchefter, rit vol. } EMEA TITEPOENTA, [ wee" 7 Wuen I was arranging a vocabulary for the telegraph, I looked over his work, and recalled to my mind ideas upon the fame fubje&, which have for years, at intervals, employed my attention. Ir has employed the talents and attention of feveral men of jearning and ability, and it appears to be a fubje& worthy of their time and labour, and highly inviting to future induftry and in- vention. FoNTENELLE, in his Eloge on Leibnitz, mentions his inten- tion of making out an alphabet of human thoughts, for a philo- fophical language; but his death put a ftop to the defign. ‘This intention I have found obfcurely mentioned at the end of his ingenious Memoire on Binary Arithmetic, where he {peaks of “a new character,” which he projeGs—A tranflation, perhaps, might not do juftice to the meaning, I therefore will quote his words : “ C’eft que tout raifonnement qu’on peut tirer des notions “ pourroit etre tiré de leur caraCteres, par une maniere de calcul | “‘ qui feroit un des plus importants moyens d’aider lefprit “ humain*.” M. Lersnirz told Boyle, “ that though Wilkins and Dal- ““ garme were great men, he did not think they had hit their “© point. * Memoires de l’Academie de Science, 1703. m. page 111. L 123 ] ** point. They might,” he faid “ by means of their languages, *« enable nations who were ftrangers to each other to converfe -* together, but they had not caught the true real charaGers, which,” he faid, “ fhould refemble algebraic characters, which would in- “ finitely affift the memory and invention.” If Leibnitz could have found thefe real characters, the greateft difficulty, as Fonte- nelle obferves, would have ftill remained, to have perfuaded ‘ mankind to agree in the ufe of them. Lavorsier, who invented, on truly ingenious and philofophi- © cal principles, a new language for chemiftry, found it for fome time difficult to introduce’ it amongft chemifts; and the cha- raters which, with the approbation of the Academy of Sciences, Monf. Berthollet has annexed to Lavoifier’s ‘vocabulary, have never been adopted in the {cientific world. Tue averfion which the learned, as’ well as the vulgar, have fhewn to adopt any univerfal language that has ever yet been propofed to them, arifes from various caufes. The peculiar af- fociations and habits of different perfons are incompatible, fo that an arrangement of founds or ideas, which may be conve- nrent to the memory of one perfon appears prepofterous to the judgment of another; and the analogies which ftrike the un- derftanding of one clafs of people are fo foreign to the minds of another that they tend rather to bewilderand difguft than Oi2 to ~ [ 124 ] to pleafe and affift the imagination. Befides this there is a diffi- culty which arifes from the vanity of each individual, who fancies that in a new coinage of language his own authority would be fufficient to give credit and currency to any new words he wifhed to bring into circulation. Tue prefs is an engine which every perfon can make ufe of to convey his ideas to the public, and as long as any objection can be made to the introduction of new characters it is not probable that they fhould be admitted, becaufe every perfon is confirmed by habit, vanity or immediate convenience, in the ufe of the eftablithed mode of exprefiion. But when a man wifhes to convey his ideas to foreigners who do not underftand his language, or whofe language he does not underftand, he trufts with confidence to his interpreter, and is content to catch, at fecond hand, fome knowledge of the terms which are em- ployed in his fervice—he fubmits from neceffity to what he would not ftoop by choice. When all competition ceafes men are willing to ‘learn voluntarily what they would never have condefcended to be taught by compulfion. In this point of view it appears to me that the Telegraph would be an eafy and certain means of introducing a univerfal language, and of improving it by degrees without any extra- ordinary effort. ‘The object would be accomplifhed before it was fufpected, and it would be fubjeé to lefs oppofition when prefented [ a25 -] prefented as an incidental than when introduced as a primary confideration. At prefent I fhall not attempt to enter upon fuch an extenfive enquiry as into the means of forming an univerfal language, but at fome future period I hope to offer my thoughts upon this fubject to the Royal Irifh Academy. Havine flightly mentioned the contrivances made ufe of by the antients for conveying intelligence fwiftly, and having pointed out fome of the various important ufes to which. this art may be applied, I fhall endeavour to give a clear view of my attempts on this fubjedt. Mopets of the French Telegraph have been fo often exhi- bited, and the machine itfelf is fo well known, that it is not neceflary to defcribe it minutely in this place.—It is fufficient to fay that it confifts ef a tall pole, with three moveable arms, which may be {een at a confiderable diftance through telefcopes ; thefe arms may be fet in as many different pofitions as are re- quifite to exprefs all the letters of the alphabet :—By a fucceflive combination of letters fhewn in this manner words and fen- tences are formed and intelligence communicated. No doubt can be made of the utilicy of this machine, as it has been ap- plied to the moft important purpofes. It is obvioufly liable to miftakes, from the number of changes requifite for each word, and from the velocity with’ which it muft be moved to convey intelligence with any tolerable expedition. THE | aa | TuHE name, however, which is well chofen, has become fo familiar, that I fhall, with a flight alteration, adopt it for the apparatus which I am going to defcribe. Telegraph is a proper name for a machine which defcribes at a diftance. Te/e/ograph, or contractedly Te//ograph, is a proper name for a machine that defcribes words at a diftance. Doctor Hooke, to whom every mechanic philofopher mutt recur, has written an eflay upon the fubject of conveying fwift intelligence, in which he propofes to ufe large wooden letters in fucceffion. The fiege of Vienna turned his attention to the bu- finefs. This method is more cumbrous than the French Tele- graph, but far lefs liable to error. { rriep it before I had feen Hooke’s work in the year 1767 in London, and I could diftinétly read letters illuminated with lamps in Hamftead church yard, from the houfe of Mr. Elers in Great Ruffel-{treet, Bloomfbury, to whom I refer for the date and circumftance—To him and to Mr. E. Delaval, F. R. S. to Mr. Perrot of Harehatch, and to Mr. Woulfe the chemift, I refer for the precedency, which claim in this invention. In that year I invented the idea of my prefent Tellograph, propofing to make ufe of wind-mill fails inftead of the hands or pointers, which I now employ. Mr. Perrot was fo good as to accompany me more than once to a hill near his houfe to obferve with a tele{cope the windmill at Nettlebed, which places are, I think, fixteen: Plate .1 ELEVATION. Wp —_— “ail | |e 7) Ee Cy lags | fixteen miles afunder. My intention at that time was to con- trive not only a fwift but an unfufpected mode of intelligence: By means of common windmills this might have been effected, before an account of the French Telegraph was made public *. My machinery confifts of four triangular pointers or hands, each of which points like the hands of a clock to different fituations in the circles which they defcribe. Ir is eafy to diftinguifh whether a hand moving vertically points perpendicularly downwards or upwards, horizontally to the right or left, or to any of the four intermediate fituations. THE * Since this paper was written, I received a letter from Mr. Perrot, which has been feen by the Prefident, containing the following paflage : «I perfectly recolleét having feveral converfations with you in 1767, on the fubje@ of a fpeedy and fecret conveyance of intelligence; I recolleét our going up «« the hills to fee how far, and how diftinétly, the arms (and the pofition of them) “¢ of Nettlebed windmill were to be difcovered with eafe. As to the experiments “ from High-gate to London by means of lamps, I was not prefent at the time, « but Iremember your mentioning the circumftance to me, I believe in the fame *¢ year. All thefe particulars were brought very ftrongly to my memory when the “ French a few years ago conveyed intelligence by fignals; and I then thought and *« declared, that the merit of the invention undoubtedly belonged to you.—I am very “¢ glad that I have it in my power to fend you this confirmation, becaufe I imagine “ there is no other perfon now living who can witnefs your obfervations in Berk- s¢ fhire. r EZ. | Tue eye can eafily perceive the eight different pofitions in which one of the pointers is reprefented, plate II. fig. 1. by “turning the eye to the circle A. A simiLar circle may be imagined round each of the point- ers, by which the numbers which they are intended to exprefs may be difcovered with much facility. Or thefe eight pofitions feven only are employed to’ denote figures, the upright pofition of the hand or pointer being re- ferved to reprefent O or Zero. The figures thus denoted refer to a vocabulary, in which all the words are numbered. Of the four pointers, plate I. that which appears to the left hand of the obferver reprefents thoufands, the others hundreds, tens and units, in fucceffion, as in common numeration. * In the annexed plate the four large pointers ftand at 2774, which in the common arrangement of my vocabulary denotes the * I infert, plate IJ, fig. 2, a line defcribed by telegraphs as an example.—lIt is the firft line of the following verfes written on the profpect of correfponding be~ tween England and Ireland by the Telegraph: Hark from Bafaltic rocks and giant walls, To Britain’s fhores the glad Hibernia calls; Her voice no longer waits retarding tides, The meeting coafts no more the fea divides. a Quick, at the voice of fortune or of fame, Kindles from fhore to fhore the patriot flame, Hov’ring in air, each kindred genius {miles, And binds with clofer bands the fifter Ifles. The numbers are, 2645, 2331, 5732 TI13) 244) 2411, 6336- Kiel. : View- of the 8 different pofitions of the Tellograpl ° 1 x if —— Example of a & << sab set ed Ne i Rial ; Fe % Lage 128. Saence. Plate, 2 . View of the 8 different pofitions of the Tellograph Example of a line of Six words ddcribed by the Tellogra ph Internediale hilermediate Intermediate nlermediate Lilernediale Ailirnei cere leer] (tfea) [esoz] Gael [deze] eee) levee Fig. Hooles te Fastin the Flanker lo the Window Frame Porta bl (e Fl an ker AFeet bi 2 RB Mn) t ; 1 ) ‘ ee: ~} sae f eee ; { Mies i } ‘| aM ’ f i { 4 . ‘4 b ot ng IE ‘ a tps ‘ : Ma yi X ; fe teed f Abat Aa ; j pats ‘Ok RK gue a: tA yi hy , i } MeN. Front Elevation T fas Stand Fig. ae Index of a different Form Fig. 6. Holder Fig. Z Flanch Index ofa different Form [page | the Royal Irifh Academy. For permanent ftations, which may be feen clearly with tolerable glaifes at twenty miles diftance, ftone or wooden pillars fixteen or twenty feet high muft be folidly ereéted ; on the top of thefe a moveable circle or plat- form turns horizontally upon a centre:—on this platform an axis tuoves vertically and carries the arm or pointer along with it. Eight handles turn the pointers, which are fixed in their differe..t pofitions by a catch or alidad. By means of the plat- form the pointer may be turned to any part of the compafs, and as one fide of it is painted black and the other white, either fide may be employed, as the colour of the clouds or the fitua- tion of the place may require. Bestpes thefe permanent machines, of which dimenfions and a defcription are fubjoined, Plate I. I make ufe of portable machines, (which may be detached like Tentacula from the main body in hazy weather) confifting of pointers ten or twelve feet high, and of a light triangular ftand, which can be eafily faftened with tent pegs to the ground: Thefe may be lodged in any houfe near the place where they are ufed, or in times of 4 a danger may be carried back to the permanent ftations every night. Pe” In managing a correfpondence by thefe machines, it is ne- i Bi csticy to have certain fignals eftablifhed ; nor are thefe fignals merely arbitrary ; it is abfolutely neceflary that they fhould be Vou, VI, R made [. - Bo 4 made by the two external or by the two internal pointers, elfe they could not be repeated by the intermediate ftations without confufion, becaufe in the middle ftations that pointer which re- prefents thoufands, when conveying a meflage eaftward, for inftance, muft, when an anfwer is returned in an oppofite di- rection, reprefent units; the fame change will take place between the pointers that denote hundreds and tens. Certain hours of the day muft be appointed for ordinary communication. Suppofe ten o'clock in the morning and five in the afternoon in Summer. Every communication begins from the capital. If no intelligence is required to be conveyed from thence the word Becin is fent to the country {ftation, which may then proceed or difmifs the meeting. WHEN any communication is to be commenced, the pointers that denote thoufands and units are whirled round till the fame is done at the correfponding ftation. When this fignal has been anfwered, the perfon who gave it proceeds to fend his intelli- gence. As foon as he begins, the pointer of hundreds at the oppofite {tation is turned to Two, and kept in that pofition till the word is made out from the vocabulary ; it is then turned up to Oor Zero. The perfon who is fpeaking, when he per- ceives by this fignal that he is underftood, turns all the ma- chines to Noveur, which is always to be done at the conclufion of every word. WHEN “ 3 SBE 7 aes ee Wuen all his machines are in this pofition his correfpondent again turns his pointer belonging to the place of hundreds to Two, where it is to remain till he receives another word, and fo on till all that is meant to be faid is finifhed. To denote that his communication is finifhed { THousanps and Units are to be vibrated. backwards and forwards, with the point downwards like a pendulum, till the fame is done at the oppofite ftation. Ir any interruption takes place on either fide from a cloud, a fhower or any accident, it is pointed out by vibrating THov- sanps and Units, with their points upwards, which fignal muft be repeated from the oppofite ftation. Whoever has made the fignal of interruption muft make a fignal of recommencement, when he is ready to proceed, by vibrating Hunpreps and Tens with their points upwards; when this is anfwered (but not be- fore) the bufinefs may proceed. It fhould be obferved in general that every fignal fhould be anfwered. Ir requires fome fteadinefs to abide by thefe fignals, but if they are patiently adhered to the fuccefs that they enfure will foon convince the operator of their utility. Without them every thing would be in confufion; by their interpofition per- fpicuity and order are perfeCtly infured. Beis iis)! In { I ufe the words Thoufands and Units here and in the reft of this defcription fgr the pointers or machines that ftand in the numerical place of thoufands and units. SSH] in my firft experiments the impatience of friends, who were prefent, was fometimes fo great as to make it very difficult to adhere to previous arrangements; but a very little practice (I mean the practice of five or fix days) reduced the routine of communication to as much facility as could be defired, fo that a word (or a fentence if contained in the vocabulary) could be fent in twenty feconds. Any perfon who has the flightefy tafte for fcience or litera- ture muft be ftruck when he fees inftantaneous interpretation of fignals, which are made at the diftance of fifteen or twenty miles, and when he perceives the power which is obtained of tranfmitting thought with fuch aftonifhing rapidity. I sHALL not enter into a detail of the fignals which are ne- ceflary for intermediate ftations ; it would take up fome time to explain them, and they will readily occur from what has been faid already. Wuart I have hitherto defcribed relates to a large and per- manent eftablifhment}+, for the management of which one man is required at each pointer, one at the telefcope and another at the vocabulary ; but for ordinary purpofes a fingle pointer with + The Houfe belonging to this eftablifhment might be made tenable againft a mob or mufketry at a {mall expenfe by port-flankers of elm or afh, adapted occafionally to the windows. See Plate I. Fig. 4. Figg with one man to work it, and another at the telefcope with a fmaller vocabulary, are fufficient. With this reduced apparatus we can with eafe fpeak at the rate of one word per minute to a great diftance, as the time loft by intermediate ftations is but f{mall. Tue vocabulary correfponding with the numbers denoted by this machinery is compofed of a large book with mahogany covers, framed, to prevent them from warping. Its fize is 47 inches by 21. It confifts of 49 double pages, that is to fay, each fheet is folded in the middle, where it opens from one page. Tue book is divided into feven parts, confifting each of feven: pages, by thin flips of mahogany, which ferve to open it eafily at each of thefe divifions. Every one of thefe feven divifions. contains feven pages, and each page contains forty-nine words. No more than forty-nine words are contained in a page, be- ‘eaufe the numbers 8 and g and zero are omitted. This omif- fion arifes from the ftru€ture of the machinery, which points only to feven numbers, referving O for a point of reft, at which point the hands indicate nothing. In every hundred. therefore only forty-nine numbers are ufed ; and in every thou- fand only feven hundred is counted. Each divifion of the book feparated by the mahogany rulers contains all the efficient numbers in feven hundred. Each of thefe rulers projets (Plate [ 134°] (Plate II. Fig. 3.) beyond the fides of the pages, and each is numbered in fucceflion from one to feven, and they are fo placed below one another as to permit the numbers on all of them to be feen at once, as in Plate I. Wuen any number of thoufands is pointed out it can by means of thefe rulers be immediately feleCted; the feries of feven pages, which one of thefe rulers opens, is cut like the alphabet of a ledger at the edge, in feven divifions. By thefe means the page containing the hundred which is wanted is in- ftantly found. In the page thus found the tens from ten to feventy inclufive are divided from each other, fo as to be in- ftantly diftinguifhable, and the units under each divifion are in like manner eafily felected. 3 Prats III. is a fpecimen of the firft page of the vocabulary, and though it is but one-fifth of the real fize it is fufficiently difting. It is divided into eight claffes; all the clafles are numbered downwards feriatim from 1 to 77, omitting cyphers or zero and eights and nines. When once the clafs required is afcertained any number on the page can be found immedi- atcly:—As for inftance, the reader will eafily fele@ Clafs IV. Number 36, or Clafs VII. Number 77, and fo of the reft. Notutne remains to be explained but the manner in which the clafs in each page is pointed out by the machinery. For this Psa iant ‘this purpofe, before the pointers are turned to any fet of figures, the pointer that reprefents thoufands is turned to the clafs that is wanted; as foon as the correfpondent anfwers this fignal THovsanps is returned to O, and inftantly all the pointers are moved to the places which denote the figures required for any word or fentence. Wuen the clafs is thus afcertained, an index, which flides on the mahogany cover of the book, is fet to the column belong- ing to this clafs; the number of thoufands is then opened by ‘the ruler as foon as it is read off by the telefcope. The num- ber of hundreds is opened by the pages where they are cut away, and the number of tens and units is feen on the page. As the pointers are moved in fucceffion from thoufands to units the different divifions of the book can be opened as faft as the pointers are moved. The order of this book might be reverfed with apparent advantage, by dividing the book into clafles by the mahogany rulers, &c. but I prefer, for reafons which it would be tedious to infift upon, the arrangement which I have followed. As fecrecy is an object of the greateft confequence, I fhall endeavour to point out, in a few words, the fuperiority of this mode of communication over any alphabetical arrangement, not only in point of expedition but of concealment. : ALTHOUGH | “2g044 Avtuoucn the common alphabet may be varied at pleafure, and any arbitrary figns may be employed to convey the powers of each letter, yet by certain rules any of thefe arrangements may be decyphered. Whoever fees the movements of the French Telegraph (I mean of that which is commonly known as fuch) may unfold the intelligence which it conveys by merely marking down the changes which he fees, and putting them into the hands of a decypherer. The rules for decyphering depend upon the ufual arrangements of letters. In our language a fingle letter muft be 4 or Z The proportions which exift between words of one, two, three, and any greater number of letters, are claffed in catalogues, and from thefe the monofyl- lables of any cypher are eafily obtained; and from the letters of thefe monofyllables the letters of longer words are difcovered. By fimilar rules, fome of which are very ingenious, and which depend upon the general philofophy of language, any alphabe- tical cypher may be eafily unfolded. But thefe rules, except a very few of them, are ufelefs when we employ cyphers, which denote entire words. Here the moft obvious means of difco- very may be avoided, by omitting thofe common words which occur fo frequently in every language, the, and, that, to, Gc. But fuppofing that from its frequent recurrence any particular word fhould be difcovered, no progrefs can be made from thefe data. The cypher of each word is an ifolated fact, which leads to nothing farther. Suppofe the knowledge of any particular vocabulary fhould fall into hands for which it was not intended, a flight change in the numeration, without any actual change of as Oe eye al of the figures, would entirely prevent difcovery :—For inftance, if the Lord Lieutenant wifhed to fend orders to the Commander in Chief, if he made ufe of the numbers written in the vocabu- lary on one day, he might, after previous: communication, em- _ ploy a different numeration, by ordering that 1 (for inftance) fhould be added to every figure. If clafs I]. Number 3664, ftood in the vocabulary for gunpowder, by the addition which I have propofed the number would ftand, Clafs II]. Number 4745, which might mean a Crocodile or Tippo-Saib, or any thing fo- reign to the real word. By fimilar provifions any number of feparate correfpondents might carry on a mutual intercourfe with- out interfering with one another. In the courfe of twelve months I tried a great number of ex- periments, and carried on a great number of converfations with the Tellograph; of all thefe a regular journal has been kept, containing what was unfuccefsful as well as what fucceeded. If fuch journals were kept in the profecution of philofophical pur- fuits, they would pay for the trouble of keeping them by the accuracy of the experience which they enfure. I sHau not at prefent enter into any detail of my nournal Tellograph. Its yelocity far exceeds what can be done by day, as in clear weather ftations at fifty miles diftance may be plainly diftinguifhed. Vout. VI, S WHEN [ (eee 3 Wuen this Paper was firft prefented to the Academy I had determined to try an experiment acrofs the channel from Donagh- adee to Port Patrick. I was ambitious of being the firft perfon who fhould conne@ the iflands more clofely by facilitating their mutual intercourfe. Public bufinefs prevented me from going to the fea fide at the time I had intended, and prevented me from carrying ona feries of converfations by day and night between the two kingdoms; but Mr. Lovell Edgeworth, my fon, had the fatisfattion of fending four meffages acrofs the channel at four o'clock P. M. on the 24th of Auguft 1795, and of receiving im- mediate anfwers, before a vaft concourfe of people. The ma- chines by which this communication was made were thirty feet high, and fifteen feet at the bafe. A child of four years could turn them. Mifty weather prevented them from being feen for two or three days; but when the weather cleared up a pointer of twelve feet high could have been plainly diftinguifhed acrofs the channel. TuoucH I have beftowed much attention and labour upon this fubje@, I do not pretend to fay that the means of Tello- graphic communication which I have invented are the beft that can be devifed. Imitations without end may be attempted; pointers of various fhapes and materials may be employed; real improvements will alfo probably be made, and perhaps new prin- ciples may be adopted. The varieties of art are infinite, and none but perfons of narrow underftanding, who feel a want of refources in their own invention, are jealous of competition and difpofed [ 339 1 difpofed to monopolife difcoveries. The thing itfelf muft fooner or later prevail, for utility convinces and governs mankind ; and however inattention or timidity may for a time impede its pro- grefs, I will venture to predi@ that it will at fome future period be generally praétifed, not only in thefe iflands, but that it will in time become a means of communication between the moft diftant parts of the world, wherever arts and fciences have ci- vilized mankind. xhibany ls &” genoped *: co" aan aoapiSl OUR AI ibliow edt Qo esang ee aN ak hoidagns 4 . at ue : eo ~) 3 i - Common Words. Clafs o. 4. 44 Abandon 45 Abufe 46 Abhor 47 Abject 51 Ability” 52 Able 53 Above _ 54 Abound 55 About 56 Abundance 57 Abroad 6. 61 Abrupt 62 Abfent 63 Abfence 64 Abfolute 65 Abftain -66 Abfurd 67 Abftain 91 Abufe ij 42 Accede 73 Accept 74 Acceptable 75 Accident -76 Accompany 77 Accomplith Pp: 139 po la he Bi) Phrafes and Sentences. | Clafs 7 Qeeet Te Hundred I. O. rr Attend to-day at A.M. ot: .M. COD sc (33 to-morrow at A. M. 14 15 ate iM. - to-night at —— 16 i-—— to-morrow night at ——— — on Monday at A. M. CC fey eae ae 21 -— at P.M. AS on Tuefday at A. M. 23 — — at P. M. 24 /——— on Wednefday at A. M. Oe eee at P.M, 33 ¢ 34 4 26 i——— on Thurfday at A. M. Ay ae errata : —— at P. | 3: j|——— on Friday at A. M. j/——_—_——_ at P.M. on Saturday at A. M. ——— at P. M. ; Alarming intelligence is received 36 L from —— Acquaint the Commiflioner’s Officer at — £ Acq 37 + 41 £——— the principal Magiftrates at —— di the H. Sheriff i the Secretary of War A aes - of State 45 4 Agreeably to the orders of his 46 4 Majefty ; a of the Ld. Lieutenant 51 f Nee masa LESS of Government { ——-— of the Commanding Officer at — , ———-— of the Magiftrate of —— 54 4 Agreeably to your orders All is well 4 Alter your Tellographs to black —— —— to white 6. 4 Admit no Strangers Admiralty has iffued Orders 4 4 62 63 Admiralty has received Intelligence 64 4 Arms have been found hidden at —— 65 66 # An armed Mob 67 # Articles of Capitulation agreed to 71 A Afliftance is required at —-— 72 Appearances are againft ——— 73 £3 Anfwer my laft to-morrow 74 £4 Arrived fince my Jaft at ——— 75 As Arrived news from E. Indies Arrived Mails from ——— An Army approaches, in number —— | Agreeable intelligence is received | Common Words. Clafs o. —————— —— 4 44 Abandon 45 Abufe 46 Abhor 47 Abject 5 51 Ability” 52 Able 53 Above 54 Abound 55 About 56 Abundance 57 Abroad 6. 61 Abrupt 62 Abfent 63 Abfence 64 Abfolute 65 Abftain 66 Abfurd 67 Abftain 71 Abufe i 72 Accede 73 Accept 74 Acceptable 75 Accident 76 Accompan 77 Accomplith | Specimen of the Vocabulary belonging to Mr. Edgworth’s Tellograph. Words lefs common. Technical Terms, c.n.m. Clafs 1 Clafs 2. I. Ie 11 Abafe jrr Aback 12 Abate tz Abacus 13 Abbey 13 Abaft 14 Abbefs 14 Abatis 15 Abbot 15 Abdomen 16 Abdicate 16 Abduétor 17 Abed 17 Abeal Abet 2. 2. 21 Abide 21 Aberration 22 Abjure 22 Abeyance 23 Ablative 23 Ablution 24 Ablebodied 24 Abortion 25 Abolifhed 25 Abrealt 26 Abomination 26 Abrogation 27 Abortive 27 Abcefs 3. 31 Above-all 31 Abeis 32 Above-board 32 Abcenthium 33 Above-mentioned 33 Abforbent 34 Abridge 34 Abfortion 35 Abridgement 35 Abftergent 36 Abruptly 36 Acacia 37 Abfentee 37 Academic 4 4: 41 Abfolye 41 Acantha 42 Abfolution 42 Accretion 43 Abforb 43 Acefcent 44 Abftraé 44 Acetous 45 Abftrofe 45 Achromatic |46 Abfurdly 46 Acids 47 Abyfs 47 Acidity / 5. ip 51 Academy 51 Acme 52 Accelerate 52 Aconite |53 Accent 53 Acouttics 154 Accefs 54 Acroftic 55 Acceflory 55 Adamant |56 Accefhible 56 Adder 157 Acclamation 57 Adder’s-tongue 6. 6. 61 Accommodate 61 Adduétor 62 Accomplice 62 Adelphi 63 Accoft 63 Ades 64 Accountant 64 Adit 65 Account book 65 Adjutant |66 Accretion 66 Adnata \67 Accrue 67 Adonis 1 7° 71 Accumulate 71 Adofcalation 72 Accufative 71 Adracanth 73 Ace 73 Adrift 74 Achieve 74 Advance foffe 75 Acquifition 75 Advance-guard 76 Acquittance 76 Advancement 77 Acre 47 Adyertifement Perfons. Clafs 3. — I. Abbot Ackland Aéton Achefon Adams Adamfon Adair 2 Adolphus Addington Ahmuty Aikin Alcock Aldrige Allot Alley Allett Allen Alder Alexander Amyatt Ambrofe 4, Anderfon Andoe Addrews Angel Anger Annefly Annefdale Antrim Anfon Anftruther Antonie Anthony Alfred Alphonfus 6. Amadeus Anne Anfolm Appleby Apfley Archer Auttin 4. Archdale Arran, Ld. Archdall Athe Atkinfon Aylward Ayre 13 Academy 14 Account Office 15 Admiralty 16 Agent to the — 17 Admiral oy, 21 Adjutant 22 Alderman of Briftol 23 Alderman of Cork 24 Alderman of —— 25 Archdeacon of —— 26 — Ardagh 27 — Ardfert 3. 31 — Armagh 32 —_— Acenry 33 — Aghadoe 34 — Clogher 35 — Clonfert 36 — Cloyne 37 — Connor 4. 41 — Dublin 42 Archbifhop of 43 — Dublin 44 — Armagh 45 — Cahhel 46 — Cork 47 — Canterbury 51 — Tuam |52 — York )53 Admiral of — the Fleet — the White 56 — ditto, 1 57 — ditto, 2 6. 61 — ditto, 3 62 — ditto, 4 63 — ditto, 5 — ditto, 6 65 — ditto, 7 66 — ditto, 8 67 — ditto, 9 4", 71 — ditto, 10 72 — ditto, 11 73 Admiral of 74 — the Blue "5 -— ditto, £ 76 — ditto, z ‘77 — ditto, 3 I. I. 11 Academy of Inferiptions|r1 Abbeville 12 Academy of B.L. Paris |12 Aberdeen 13 Abergavenny 14 Abington 15 Abidos 16 Abyflinia 17 Acadia 2. z1 Acamboo 22 Acapulca 23 Acam 24 Adda 25 Adrianople 26 Atna 27 Africa 3° 31 Agincourt 32 Aix Ja Chapelle 33 Albany 34 Alcantara 35 Aleppo 36 Alexandria 37 Algiers 4. 41 Alicant 42 Alps 43 Alface Antrim 45 Aylfbury 46 Ayrhire 47 Allfaints 5t Alewick: Aloft Alersford Aldborough Alencon Andes Anglefey | 6. 61 Angola Anjou Anhalt 64 Antioch |65 Antwerp 66 Archangel 67 Argenton UB Atherftone \72 Ardee 73 Arklow 74 Armagh 75 Athenry Athlone [77 Athy Navy and Merchant Ships. Clafs 6. — — me tr Atlas 12 Ajax 13 Albion 14 Africa 15 Audacious 16 Agamemnon 17 America re 21 Anfon 22 Alcide 23 Alexander 24 Alfred 25 Arrogant 26 Afia 27 Ardent 31 Achilles ; 32 Adamant 33 Affiftance 34 Acteon 35 Argo 36 Artois 37 Affurance 4. 40 Arethufa 42 /Eolus 43 Adtive 44 Alarm 45 Amazon 46 Ambufcade 47 Amphion 51 Apollo 52 Aftrea 53 Alcmene 54 Andromache 55 Albemarle 56 Aurora 57 Amphitrite 6. 61 Ariadne 62 Alfred 63 Atalanta 64 Ariel 65 Allegiance 66 Albany 67 Alderney Ch 71 Alert 72 Alligator 73 Avenger 74 /Ema 75 Alecto 76 Aquilone 77 Argus Phrafes and Sentences, Clafs 7. “ Hundred i 0. 11 Attend to-day at A. M. : 12 — -at P.M. 13. ——— to-morrow at A.M. 14 ——-a P.M. 15 to-night at —— 16 ——— to-morrow night at —— 17 ——— on Monday at A. M, zh 21 ———--— at P. M. 22 on Tuefday at A.M. 23. ———_—— — at P.M. 24 ——— on Wednefday at A. M. 25 ————_——-——— at P.M, 26 on Thurfday at A. M. 27 —— —— at P. M. 3. Br on Friday at A. M. 32 ——_ — at P.M. 33 - on Saturday at A. M. 34 ~—— at P.M. 35 Alarming intelligence is received rom ——— 37 Acquaint the Commiflioner’s Officer at — 4. 41 ——— the principal Magiftrates at —— 42 ——— the H. Sheriff 43 ——— the Secretary of War 44 -—— of State 45 Agreeably to the orders of his Majetty 47 ————_———- of the Ld, Lieutenant 51 ————-——— of Government 52 ——-— of the Commanding Officer at — 153 —-— of the Magiftrate of —— 54 Agreeably to your orders 155 Allis well |56 Alter your Tellographs to black | 567 —----- to white 6 |61 Admit no Strangers {62 Admiralty has iffued Orders 63 Admiralty has received Intelligence 64 Arms have been found hidden at —— 65 An Army approaches, in number —— 66 An armed Mob 67 Articles of Capitulation agreed to 7: 71 Afliftance is required at —-— 72 Appearances are againft ——— 73 Anfwer my laft to-morrow 74 Arrived fince my laft at ——— 75 Arrived news from E. Indies 76 Arrived Mails from ——— 77 Agveeable intelligence is received | Pp: 139 [ r4r ] Of the COMPOSITION and PROPORTION of CARBON in BITUMENS and MINERAL COAL. By RICHARD KIRWAN, £4; L.L.D. F.R.S. and M.R.1LA. An exact knowledge of the component parts of the different fpecies of mineral coal, and alfo of bitumens (fubftances which moft of them contain;) forms an object of fome importance not only to the naturalift, whofe views are merely fpeculative, but to the practical ceconomift, who wifhes to extraét from each fpecies all the advantages it is capable of yielding, and to be enabled to compare the various kinds afforded by different countries, in order to obtain and employ that which fhall on the comparifon __ appear to him beft fuited to his intentions. "i In effet coals are not only applicable to the more ufual pur- _ pofes of combuftion, an ufe, fimple as it may appear, attended _ according to their various fpecies with a confiderable difference of calefa&tive power both in intenfity and duration, but alfo to the production of varnifhes, much more advantageoufly applicable in many inftances than thofe extracted from the vegetable king- dom, Read Decem- ber 19th, 1795: [ 142 J dom, as Lord Dundonald has difcovered and abundantly proved +, and alfo of that chared refiduum called Coak, the only one that can be reforted to in many cafes, and in moft fuperior to vege- table charcoal. Coats and bitumens are however fubftances that refift. the ufual modes of analyfis; they elude the ation of aqueous, acid, alkaline or f{pirituous menftruums ; and diftillation, the only mode hitherto ufed, confounds and varies their natural contents. Reriectine on thefe obftacles to an exact difcrimination of bitumens and coals, and of the various kinds of thefe laft, it occurred to me that partly by combuftion, and partly by their efficacy in decompofing nitre, the fecret of their internal compofition might poffibly be unveiled. 1°; Combuftion, J have obferved that all the fpecies of folid bitumen, properly fo called, when laid on a red hot iron, burn with a large bright flame, {moke and foot, leaving none or fcarce any coaly refiduum, and only a little afhes. Tuat the fofter bitumens, as maltha, burn in the fame man- ner, leaving no coal, but only a little afhes, and requiring no increafe of heat for their intire confumption. THAT + Upon the moft minute enquiry why coal varnifh is not more commonly employed in paying the bottoms of fhips, I have been informed the principal reafon is, that it fucceeds #00 well——The fhips not requiring fuch frequent repair. [ ea Tuar a/phalt burns with flame and foot, but melts and {wells, and requires for its intire confumption an increafe of heat, leaving fearce any coal, and but little afhes. Ir is moreover well known that liquid bitumens contain in- flammable air and carbon. That they abforb atmofpheric air when long expofed to it and light. That in confequence of this abforbtion they are thickened, blackened and condenfed, firft into mineral tar, then into mineral pitch or maltha, and laftly into afphalt. That almoft all fpecies of mineral coal yield more or lefs of both fpecies of bitumen on diftillation, leaving a fhining coaly refiduum, but that the proportion is variable in every {pe- cies, according to the degree of heat applied; that the refiduum ‘always obftinately retains a proportion of bitumen, and that con- fequently diftillation, in addition to its other imperfetions, is an infufficient medium whereby to difcern the proportion of carbon and bitumen, and confequently to difcriminate the various forts of mineral coal from each other. 2°. Decompofition of nitre. It has long ago been remarked by ° the juftly celebrated Macquer+ that nitre detonnates with no oily inflammable matter until fuch matter is reduced toa coal, and then only in proportion to the carbonaceous matter it, con- tains ; an obfervation the truth of which will fully appear in the fubfequent experiments. Hence it’ occured to me that fince in the + 1 Diction. Chym. 2d Edition, p. 481. [ tap. the act of detonnation nitre is always totally or partially decom- pofed ; and fince where carbonaceous compounds are employed this decompofition arifes folely from the mere carbonaceous part, and every thing elfe being equal, is proportioned to the quantity of mere carbon they contain; and fince moft fpecies of coals are compounds of mere carbon and bitumen, as appears by the pro- duds of their diftillation, it fhould follow, that by the decom- pofition of nitre the quantity of mere carbon in a given quantity of every {pecies of coal may be difcovered, and this being known, that of bitumen may be inferred, and the other uneffential ingre- dients being detected by incineration, the whole contents of coaly fubftances might be afcertained. THe compofition of bitumens alfo, as far as relates to their proportion of carbon and oil, may be evidenced in the fame man- ner: And here it is to be obferved that the bitumens I here con= fider are thofe that are found in a dry or folid ftate, and that thefe contain a larger proportion of carbon than the liquid bitu- mens ; for though thefe laft alfo contain carbon, it being an effen- tial component part of all oils, yet this portion does not extricate or educe any air from nitre, nor confequently contribute to its decompofition, as the fubfequent experiments fufficiently evince, but is confumed partly by the pure air fpontaneoufly emitted by nitre during its ignition, and partly by the ambient atmofphaeric air. Nay, when mineral coal is employed in the decompofition of nitre, the fhare which the mere carbonaceous part of the bitu- men contained in it contributes to the decompofition will be found fo fmall that it merits no confideration in the general account. Tue per Seas Tue firft ftep towards carrying this analytic plan into execu- tion muft therefore be to determine the quantity of pure carbon neceflary to decompofe a given quantity of pure nitre. But here many practical difficulties occur which fhall prefently be mentioned ; the moft perfect method of obviating them was that employed by the ever memorable Lavoifier: He mixed the pureft nitre with charcoal alfo purged of the inflammable as well as other airs and water which it ufually abforbs, in the proportion which, after feveral trials, he found requifite for the entire de- compofition of that falt, rammed them into a copper tube, fired them, and continued the inflammation under water, by which means the charcoal was aéted on folely by the air educed from the nitre, to the intire exclufion of the external air, and this air was educed, folely by the ignited charcoal, to the entire exclufion of external heat, advantages that cannot be procured by the ufual mode of effecting this decompofition; thus he found the © proportion of charcoal neceffary for the entire decompofition of nitre to be as 1 to 7,57, or in other words, that 13,21 parts char- ‘coal decompofe 100 of nitre*, and yet even in this experiment I _ find a {mall inaccuracy, as he did not take the water employed in mixing the nitre and charcoal into the account, and hence, and _ for fome other reafons, the detail of which would lead me too far, I think the proportion fhould be as 1 to 7,868 nearly, or that 12,709 charcoal decompofe 100 of nitre; but the difference is of little importance. “Vox. VI. ri Tuis * 11 Mem. Scav. Etrang. p. 626. [ 146 ] Tuts mode of experimenting however is inapplicable on the prefent occafion, the different fpecies of mineral coal being not fo readily inflammable as to carry on the combuftion in this manner. Hence I contented myfelf with the common manner, only ufing fuch precautions as to render its refults tolerably uni- form, and repeating each experiment feveral times. I rxAMINED the purity of the nitre I employed by nitrated filver, and found by the quantity of falited filver produced that 480 grains of the nitre contained 3,5 grains of common {falt, 135 grains of muriated filver indicating 100 of common falt; hence the conftant quantity of nitre I ufed was 483.5 grains, ex- cept in the experiments on bitumens, as I had not enough of them to expend on fo large a quantity of nitre. Tue nitre was heated barely to rednefs before any coal was projected on it in a wind furnace and a very large crucible; upon this uniform degree of heat much of the uniformity of different experiments on the fame fpecies of coal depends. In my firft experiments the coals were reduced toa very fine powder, and then projected on the ignited nitre, but I obferved that by this method much more of each fpecies of coal was re-- quifite to alkalize the ftandard quantity of nitre than when it was reduced to a coarfe powder, about the fize of a pin’s head or fomewhat larger, and the reafon is, that by the force of the ex- plofion much of the finer powder is carried off without having been r [ xa ] been in contaét with the nitre. Hence in the experiments of Mr. Hielm, on the quantities of charcoal of different woods requifite to alkalize 100 parts of nitre, we find thefe quantities to bear for the moft part fome analogy to their fpecific gravities, being ge- nerally fmaller when the fpecific gravity of the charcoal is lighter. Thus, Grains requifite to alkalize 100 Grains of Nitre. Specific Firft Second Gravity. Experiment. Experiment. Oak coal - 0,332 . 35 - 30 Birch coal - 0,542 - - 22 - 22 Pine coal - 0,280 - 29 = 20 Fir coal - 0,441 - ue 33 = 25 Coak - 0,744 - 19 ANoTHER circumftance of great importance towards procuring juft and uniform refults is, that the projections of coal fhould fucceed each other without delay as foon as the flame ceafes, for as ignited nitre gives out pure air fpontaneoufly, and fo much the more as it is more heated, the acid will be decompofed and the nitre alkalized by a quantity of coal fo much the fmaller as _ the intervals of projection are longer. From inattention perhaps to this and the laft mentioned particular, as well as from various conditions of common charcoal, which feldom contains lefs than +z and often 4 of its weight of moifture and abforbed air, pro- T’2 ceeded $ Schwed, Abhandl. 1781. p. 188. [ 148 ] ceeded the various refults of different chymifts with refpe& to the proportion of it neceffary to alkalize nitre. Ir is almoft fuperfluous to add that the charcoal fhould be projected in very fmall portions. I feldom proje@ed more than one or two grains at a time; each operation lafted from twenty to twenty-five minutes nearly. There is always fome portion of nitre undecompofed being protected by the furrounding alkali, this error is unavoidable but very {mall. Even the pofition of the crucible in the furnace is not indifferent, for if it be near the flue more coal muft be employed, which I attribute to the tor- rent of air which in that cafe affects it and carries away more than when the crucible is nearer to the anterior part of the furnace. Ir may perhaps be fufpeCted that this and fome other incidental errors may be avoided by previoufly mixing the nitre and coal, and proje@ting the mixture in fmall portions into a red hot cru- cible; but not to mention that this method fuppofes the due proportion of thefe two fubftances to be known, which cannot be known till after the experiment, and alfo that every atom of thefe fubftances is in. perfe€t conta& with the other fubftance, elfe they cannot a@ on each other; independently, I fay, of thefe unfounded fuppofitions, this mode of experimenting is ftill more fallacious than the former, as, during thefe projections, a confide- table proportion of the nitre is feattered and difperfed, and may [ 49 | may be feen adhering to the fides of the crucible. This lofs being repeated at every projection becomes at laft intolerable. I now proceed to relate the experiments themfelves, condu&ted in the manner I have mentioned. The different fpecies of coal and bitumen whofe compofition I have thus examined were Kil- kenny coal, Maltha, Afphalt, Lancafhire, Cannel, Slaty Scotch Cannel, Whitehaven, Wigan, Swanfey and Leitrim, feleCting of each fort the pureft fpecimens, free from pyrites and vifible ftony matter. Kilkenny Coal. Irs colour is b/ack, and when freth broken frequently violet. Irs. luftre 4. metallic. Tranfparency o. Its, fracture foliated, the courfe of the lamellz varioufly and confufedly directed. Its fragments rather fharp, and often difcovering between the diftin@ concretions whitifh illinitions. Its hardnefs 7. Specific gravity 1,526. Does not burn until wholly ignited, and then flowly confumes _ without caking or emitting flame or fmoke. 266 grains of it expofed to a heat of 27° of Wedgwood in a crucible for five hours L r5ey 4 hours did not lofe their luftre until almoft 3% of them had dif- appeared, and at laft left reddifh afhes amounting to 7,13 grains, nearly 2,7 per cent. Projecting this coal in fine powder on 480 grains of pure ignited nitre, I found the falt required 65 grains of the coal to alkalize it, but only 50 grains when in coarfe pow- der; and in a third experiment, when the crucible was farther from the flue of the furnace, only 49 grains: fo that I look upon 50 grains as being in round numbers neareft to the truth. That is the proportion of one part of Kilkenny coal to 9.6 of nitre, or 100 parts of nitre require for their decompofition 10,416 of Kil- kenny coal. Tuts proportion of coal is much fmaller than that of charcoal in Mr. Lavoifier’s experiment, which we have feen to be as 1 to 7,§7) OF aS 13,21 to 100, which I attribute to the advantageous mode in which his experiment was inftituted, as already ex- plained; whereas in mine and the ufual way, the decompofition of nitre is promoted by the external heat applied, as well as by the coal, and confequently lefs of coal is employed. From the experiments of Scheele one might be led to infer that the proportions of charcoal and nitre neceffary to the alkali- zation of this latter approach ftill nearer to each other than in Lavoifier’s ftatement, and confequently much nearer than in mine; for in his effay on plombago he tells us that five parts nitre are Sufficient to confume one of charcoal, and confequently it fhould feem that one part charcoal fhould decompofe no more than five of [i gee] of nitre; the confequence however is not juft,. for undoubtedly five parts nitre would confume one of charcoal, but it does not thence follow that they would not confume ftill more. On the other hand he found that ten parts nitre were neceffary for the confumption of one part of plombago, whence it follows that one part of plombago decompofes ten of nitre, otherwife nine parts nitre would fuffice to confume it, and the tenth would have been unneceflary, as it aéts only as it is decompofed. Now this propor- tion approaches very nearly to my refult, namely, 1 of charcoal to 9,6 of nitre. Hence, and fince Kilkenny coal in the preceding experiments fhewed no fign of its containing any thing bituminous, I take it for granted that it confifts almoft entirely of pure carbon; and fince 50 grains of it alkalize 480 grains of pure ignited nitre, that in all the fubfequent experiments on other fpecies of coals or bi- tumens free from fulphur and iron, the decompofition of this ftandard quantity of nitre will indicate in the quantity of coal neceflary for that decompofition, the prefence of 50 parts of mere carbon, Log Berore I proceed to the recital of other experiments I muft mention another circumftance that occurs in making them, which is, that after the inflammation ceafes a hiffing noife is perceived for a long time, and is increafed on adding freth quantities of coal, even when the nitre is feemingly decompofed ; this feemed to [. 55a e] to me to arife from the decompofition of the nitrous air or me- phitized nitrous acid, of which a portion is always retained by the alkali, and confequently I paid no attention to it, but always ceafed adding coal when the inflammation totally ceafed. Maltha. Irs colour is dark brown or black. Irs luftre o. Tranfparency o. Irs fra€ture, uneven, tough. Specific gravity 2,070. Ir feels fomewhat greafy, yields to compreflion, has a heavy fmell, acquires a polifh when fcraped, does not adhere to the. tongue or ftain the fingers; its flame high and bright, leaving no coal, but only a little afhes. Havine but a {mall quantity of this fubftance, I on this occa- fion ufed only 240 grains of nitre. When it was heated to red- nefs I threw on it one grain of vegetable pitch; it immediately inflamed, but floated quietly on the furface of the nitre, and de- crepitated like common falt, from the moifture it contained. The flame was partly white, from the action of the air fpontaneoufly emitted by the nitre, and partly yellowi/b, from the action of the ambient atmofpheric air, but fteady and unattended with thofe turbulent gufhes that attend the decompofition of nitre by carbo- naceous fubftances. ] THEN P2533 J _ I rHen gradually projected on it 55 grains of malfha, which was all I had; this burned juft as the pitch, but was attended with a blacker fmoak, yet the nitre was fo far from being alkalized that to produce this effect I was obliged to throw on if 29 grains of Cannel coal. Now 33,5 grains of Cannel coal, if it alone had been ufed, would fuffice to alkalize 240 grains of nitre, as will prefently be feen, therefore the 55 grains of maltha and _the one grain of pitch contained no more carbon than 33,5— 29=4,5 grains; therefore 100 grains of maltha contain no more than 8 grains of carbon. And as thefe 8 grains of carbon pro- voked no turbulent eruption of air from the nitre, it is plain they did not contribute to its decompofition, but were taken up by the air it {pontaneoufly emitted, and partly by the ambient at- mofpheric air. Of Afphalt. Irs colour is greyifh black. Irs luftre 2.3. greafy. Tranfparency o. Its fra€ture perfe@ly conchoidal. Irs hardnefs from 7 to 8, very brittle. Specific gravity from a 1,07 to 1,165 by my trials. It feels fmooth, but not greafy ; has no {mell, except while pounding ; does not ftain the fingers , _ when heated it melts, {wells and at laft inflames, but it requires Worl: U for fh. 642] for inflammation a higher heat than maltha does, and leaves no coal and fcarce any afhes. Or this bitumen I found 161 grains requifite to alkalize the flandard quantity of nitre. It vifibly educed air from the nitre, for there were eruptions from time to time, I fuppofe when the more oily part was confumed and the carbonaceous laid bare ; much of the flame was alfo yellowifh. Hence 161 grains of af- phalt contain only 50 of mere carbon—that is nearly 31 per cent. Mr. Thory, burning it in a low heat, found it to leave about 4 of its weight of coal, after melting, {welling and inflaming as ufual*, however his afphalt was not perfe@ly pure, as he ob- tained fulphur from it. Cannel Coal. Irs colour is black. Irs luftre common 2. when frefh broken often barely 1. Tranf- parency o. Its crofs fracture conchoidal. Fragments rather fharp. Irs hardnefs from 7 to 8. Specific gravity by my trials 1,232. Per Doétor Watfon’s 1,273. Does not ftain the fingers; eafily kindles * 6 Crell’s Chy. Journ. p. 62. soi eye] kindles without melting, and burns with a large bright flame, but of fhort duration, leaving a large coaly refiduum ; does not cake. 240 grains of it heated until all the coaly part was con- fumed left 7,5 grains of reddifh brown afhes, moftly argilla- ceous, that is 3,12 percent. 66.5 grains of it were fufficient to alkalize the ftandard quantity of nitre. It burned with a large bright flame, except the laft portion, which was yellowifh, the pure air of the nitre being then exhaufted. Hence 66,5 grains con- tained 50 of pure carbon and 2,08 of afhes; then deduéting 52,08 from 66,5 we find the quantity of bitumen equal 14,42; then 100 parts of it contain 75,2 of carbon, 21,68 bitumen of the fort called maltha, and 3,1 of afhes. I rake this bitumen to be ma/tha from its quick inflammabi- lity and the fhort duration and brightnefs of its flame, both which properties indicate the moft inflammable of the bitumens, and whofe flame is leaft durable, from its refufal to cake (caking being a property arifing from the fufion of afphalt) and the diffi- cult combuftibility of the carbonaceous fubftance that remains after the ceffation of its flame, qualities that counter-indicate afphalt. Slaty Cannel Coal. Tuat which I employed was from Ayrfhire in Scotland, the only one of this fort imported to Dublin. Its colour is black. Ue Its xsbe Irs luftre 2. common. ‘Tranfparency o. Irs fra€ture partly flaty, partly imperfectly conchoidal. Frag- ments fharp. Irs hardnefs from 5 to 8. Specific gravity 1,426 by my trials, Ir burns like the compact Cannel, but ceafes fooner to flame. Does not cake; leaves a ftony refiduum. 240 grains of it treated as before mentioned leave 50 of reddifh grey afhes, equal 20,83 percent. From the fmell that iffues from it during ignition I am led to think it contains fome portion of fulphur. To alkalize 480 grains of nitre 105 grains of this coal were employed. It burned like the former with a large white conti- nued flame, except the laft portions. Hence this quantity con- tained 50 grains of mere carbon; and fince it alfo contained 20,83 of afhes, the remainder, viz. 34,15, muft have been bitu- men. Then Ioo parts of it contain 47,62 of carbon, 32,52 of bitumen, and about 20 of afhes. Some deduction however from thefe quantities of carbon and bitumen may be made by reafon of the {mall proportion of fulphur contained in it. This bitumen I take to be maltha and not afphalt, for the reafons I mentioned in treating of compact Cannel. Ir is from a coal of this fort that Lord Dundonald extraéts his tar, as maltha eafily diftills; but it is probably of a better kind, as this ftony kind exifts moftly in Ayrfhire. By —— Ts. Ss eS [: Sage oF] By his Lordfhip’s mode of diftillation however much feems to be loft during the internal combuftion. I fhould think the Prince of Naffau Saarbruck’s method in this refpeét more advan- tageous. Mr. Sage tells us that by diftillation he obtained from Cannel coal + of its weight of tar}; but Mr. Faujas, who ufes Lord Dundonald’s method, obtains from the coal of Decife, which feems to be of this kind, only 4 per cent. of tar*. _ Faujas alfo obferved that this tar is gradually converted into afphalt by long expofure to the air, which confirms the dif- ference I have eftablifhed between the two bitumens. Whitehaven Coal. Its colour is black. Irs luftre 3. greafy. Tranfparency o. Irs fraéture plane foliated. Its fragments 2. often difcover- ing quadrangular or cubic diftin€t concretions, fometimes inter= feted with brownith red flakes. Its hardnefs 6. very brittle. Specific gravity 1,257 by my trials. Stains the fingers, particularly when moift. Ir burns at firft with a clear flame, and for a long time, but at laft cakes. 240 grains of it after five hours ftrong heat left only 4 grains of a reddith afhes, or about 1,7 per cent. THE t 35 Roz. jour. p. 387» 27 Roz. Jour. p. 188. [ TEs Tue ftandard quantity of nitre was alkalized by 88 grains of this coal. Hence 100 grains of it contain nearly 57 of mere carbon, 41,3 of a mixture of maltha and afphalt, and 1,7 of afhes. ‘That it contains both maltha and afphalt is evident from its flame and caking. The proportion I cannot exadtly afcer- tain, but moft probably the afphalt predominates. Wigan Coal. Irs colour is black. Irs luftre 3. greafy. Tranfparency o. Irs fracture plane foliated. The lamellz, fome uniformly fome promifcuoufly directed. In the grofs often flaty. Forms feparate concretions, often with bright yellowifh illinitions, Irs hardnefs 6. Specific gravity 1,268 by my trials. Ir burns with a bright flame, and quicker than the foregoing, and is lefs apt to cake. 328 grains of it expofed as the former to a ftrong heat left 5,13 grains of afhes, that is 1,57 per cent. 81 grains of it decompofed 480 grains of nitre. Hence 100 grains of it contain 61,73 of carbon, 36,7 of a mixture of maltha and afphalt, and 1,57 of afhes. Ir feems to contain a larger proportion of maltha with refpect to its quantity of afphalt than Whitehaven coal does. Swanfey [ 159 ] Seban/ey Coal. Irs colour is black. Irs luftre 2. Tranfparency o. Its fracture foliated, but fome lamella being at right an- gles with the other give it a fibrous or ftriated appearance. Frag- ments 2. Irs hardnefs 5. very brittle. Specific gravity 1,357 by my trials. Ir burns more flowly than the former and cakes. 240 grains of it treated as the former kinds left 8 grains of yellowifh red afhes ; that is equal 3,33 per cent. Or this coal 68 grains were requifite to decompofe 480 grains of nitre. Then 100 grains of it contain 73,53 of carbon, 23,14 of a mixture of maltha and afphalt, and 3,33 of afhes, ‘The afphalt feems to predominate. Leitrim Coal. Its colour is black. Irs luftre when frefh broken 3. Tranfparency o. Its fracture foliated. Its fragments 2. ITs- [. aopey Irs hardnefs 6. very brittle. Specific gravity 1,351 by my trials. It flightly cakes. 240 grains of it left after three hours expofure to heat 1245 grains of reddifh grey afhes, that is equal 5,2 per cent. Tue decompofition of the ftandard quantity of nitre required 70 grains of this coal. Hence 100 grains of it contain 71,43 of carbon, 23,37 of a mixture of maltha and afphalt, and 5,2 of afhes. Newcafile Coal. I wap none of this kind of coal, but according to Dod¢tor Watfon’s experiment it left on diftillation a coaly refiduum amounting to 58 per cent. and hence contained about-40 of a mixture of afphalt and maltha, in which the former appears to predominate. Hence it much refembles the Whitehaven coal, but it evidently contains fulphur alfo, which that of Whitehaven feldom does. A Synoptical give lle a Bee aie | ; A Synoptical View of the Contents of Bitumens and different Sorts of Mineral Coal. Specific fee Potts Carbon. Bitumen, Afhes. Gravity. | Maltha - - Bs — | _ 2,070 Afphalt - 31 68 — 1,117 Kilkenny - - 9733 = 264) 1,526 Compact Cannel - | 75,2 21,68 Maltha 351 1,232 Slaty Cannel - 47,62 | 32,52 Maltha 20 1,426 Whitehaven - 57 41,3 mixt 1,7 1,257 Wigan - - 61,73 | 36,7 maixt 1,57 1,268 Swanfey - - | 73,53 | 23,14 mixt 333 | 15357 Leitrim = =| 74543 | 23537 mixt | 5,20 1,351 Newcaftle - 3 58 40 mist a 1,271 To thefe refults I fhall add a few more, taken from a treatife on pit coal lately publifhed by Signior Fabroni. The Italian. coals were examined by himfelf; the French and German by other chymifts, All by diftillation. Vou. VI. x 100 | Specific eas Carbon. | Bitumen. Afhes. | Granite Coal of Halles - 86 12 —_ — of Tudertino -| 25 75 — | — of Cortolla - 45 43 12 1,403 of Macinaia - | 60 37 3 1,411 Stony of do. -| 12,5 3755 50 1,666 of Mocaio - 32 35 33 1,403 TuEseE coals contain very little afphalt, but chiefly maltha. Mosr coals afford a volatile alkali by diftillation; this feems to me to be rather a product of the operation arifing from the union of hydrogen and mephitic air, and thus the alkaline bafis of the ammioniacs found on volcanos feem to have been formed. Coals alfo afford an acid, commonly the marine, or if pyritous, alfo the vitriolic, more rarely the fuccinous. Accorninc to Mr. Jars, 100 parts of the beft Englith coal give when chared 63 of coaks*, but Hielm found the refiduum of * 1 Jars, p. 329. ee ee ee ee eS ———S oe ye on = Te 2 ie of the beft Englifh coals diftilled to amount to 73 per cent; and Doétor Watfon found the refiduum of Newcaftle coal to amount only to 58 per cent. Thefe refults neceflarily differ according to the degree of heat applied, the duration of the combuftion and the variable admiffion of air. It is plain the bitumen is never totally expelled, at leait not until moft of the carbon is confumed; but much more of it is expelled by com- buftion than by diftillation. 3 Watfon, p. 27 and 28. By Lavoifier’s experiments it appears that equal quantities of water under equal furfaces are evaporated, and confequently equal heats produced by*. By 4o03lbs. of coaks By 17 of coaks 6oolbs. of pit coal 10 of pit coal por in meafure . Goolbs. of charcoal 40 of charcoal 108glbs. of oak J L 33 of oak. ‘Tue fame fuperiority of coaks over charcoal has alfo been obferved in Germany in other cafes, though with variations in the refults, plainly arifing from the different degrees of carbonifi- cation. ‘Thus in Silefia it was found that in {melting of iron ore g2lbs. or one meafure of coaks was equal to 18olbs. or 3 mea- X 2 fures * Mem. Stock. 1781. p. 187. [| 164 | fures of charcoal*. Elfewhere it was remarked that one mea- fure of coaks were equivalent to 5 of charcoal and 3 of pit coalj. Doubtlefs according to the quality of this laft. Tue caufes of thefe differences deferve attention, as the con- trary might be prefumed. For in the firft place I have ftated that the carbonic part of pit coal is exactly the fame as common charcoal, and therefore when equal weights of both are em- ployed it fhould be expected that the calorific effects of both fhould coincide. In the next place it is known that pit coal and woods containing a large proportion of oil muft contain a large proportion of inflammable air, and this in combuftion gives out more heat than an equal weight of mere carbon in the proportion of 3to 1+. Therefore it fhould feem that a {mall quantity of wood fhould produce the fame calorific effect as a larger of charcoal. To remove thefe difficulties I fhall lay down two pofitions : 1ft, That the quantity of heat given out by carbon jis to that given out by an equal weight of inflammable air (or hydrogen as it is now called) as 1 to 3. adly, That to communicate equal quantities of heat, in the cafe now before us, atmofpheric air muft have taken up either equal quantities of mere carbon or a quantity of inflammable air equal to one-third of the deficiency. Now * t Bergm. Jour. 1790. p. 320. + 1 Bergm. Jour. 1792. p. 60. + 1 Chy. Layois. p. 104. [is tage Now on examination it will be found that there is fufficient reafon to think that this equality or compenfation took place in every inftance. Tuus, comparing coaks and charcoal, we mutt obferve that, according to Doctor Watfon’s experiments, charcoal gains 9 per cent. by expofure to the air for a few days after it is made, by abforbing partly air and partly moifture—3 Watfon, p. 43. And, according to Doctor Prieftley, 15 per cent. in a month; and this feems its maximum.—3 Prieft. p. 417. new edit. But coaks gain only 3 per cent.—3 Wats, p. 46. and fill lefs when well burned. Thefe deduions being made, it will be found that the abovementioned 6oolbs. of charcoal will be reduced to 510, and the 403lbs. of coak to 391*; the difference then is only 11glbs. To account for the equality of refults, notwithftanding this difference, we muft confider that coal containing afphalt, a much denfer fubftance than any vegetable oil, is never fo thoroughly chared as woods are, as Doctor Watfon has alfo hinted; fo we have feen that Newcaftle coal is reduced only 72 per cent. though * Here-I muft mention an error of impreflion in Mr. Lavoifier’s Memoires, which may deceive : In the text, p. 386, the quantity of coaks is faid to be 552, butin the third table, p. 391, it is faid to be 4035 fo alfo in the text the quantity of char- coal is faid to be.g60, and in the table only 600, though the meafures of both are the fame in both pages. However I found the text wrong and the table right. f -réeoe.} though it contains but 58 per cent. of carbon, Coaks therefore always retain fome remains of bitumen, and confequently of hydrogen; and in this cafe +4* or 39 parts of hydrogen would compenfate for the defalcation of 119 of carbon. On the other hand, if we compare the quantities of pit coal and charcoal we fhall find that too parts of fuch pit coal as is commonly chared, containing at a medium 60 per cent. or more of mere carbon, 6oolbs. of it fhould contain 360 of car- bon, or perhaps more; and as it alfo contains much hydrogen, it might be expected to give out a much greater proportion of heat than 391 of coak or 510 of charcoal, but here we muft take into the account the vaft quantities of fmoke and foot it throws out, which abforb a large proportion of its heat, and moreover the bottom of the veflels heated by it are moftly co- vered with foot, which confiderably obftructs the communication of heat. Tue fame obfervations are in great meafure applicable to woods. According to Do¢tor Watfon oak yields but 22 per cent. of charcoal by diftillation, and ftill lefs when chared; and beech, according to Wiegleb, only 20 per cent. confequently 1089 parts of oak yield but 239 of carbon, the remainder of the heat then proceeds from the hydrogen contained in the oils of the wood. Mr. pevEG gad Mr. Lavorster has alfo given the cubic meafures of thefe combuftibles, and the times in which each of them produced the fame effe@. For the fatisfaGion of the curious I fhall exprefs the whole in the following table : Combuftibles. Weight. Meafure. Duration. Ibs. Cub. Feet. Hours. Pit coal - 600 - To - 20 Goaks - - 403 - 17 - 125 Charcoal - 600 - 40 - 5 Oak - - 1089 - 33 - 4.4 Hence we fee that if coal produces a certain quantity of heat in a given time, coaks in much fmaller quantity will pro- duce the fame effect in little more than half that time, an equal weight of charcoal in one-fourth of that time, and oak in nearly double the weight of the coal in about one-fifth of that time. Tue beft coal for common ufes feems to be that which con- tains no pyritous, earthy or ftony matter, and in which the carbonaceous is to the bituminous part in the proportion of 5 to 4, or 6 to 4,5. An equal mixture of maltha and afphalt is pre- ferable to either fingly. ; ms te; eral: Te Ot ; yy haere Bae a 4g 4 ‘beratrionng apa 3 Re red sata al rae aia Ne ie re hed: peshi, # Co wah Bes. eta 3%, i ‘ , of , fate $a ine: Suit eo Heggioadre lee $ : pane: ws tem na OR Be sada pence ie bat a oa eae et “Ong Liss * atts um “yettard), Bey Bar at f07. iy ‘ ae pa Vite A fpinpo wa’ ‘is a lad a tone Pe nD # 4 Bae ear ey xbeasa APA. Bini, Seti ite. re 2:14 fii: issu a t oan :- the sates WiATAIS Han EAS sib a tind St 4 Ae Myioie 4 ie a he — ris ; A “aye pd Syiide Feattite * ay +e, ts capes iy, i " v4 at ex sis ba Ca em es “S199 xvid sid “99 emtast este hasinga, bad at oe, * ee aes red a) 92a! nk tas arene ‘Wned Yo" eae % avd b4% ame 7 + ena eS “Ty Se-qmipecway aly ste tony watt Aes 13 Bk alata a ibd baat Yd a ET aes nee pat oy Acari wh: least rg ad 5, Wie giee ong. anit Peake wee? " aa rel ts Higheft. 30,67 —_ Vou. Vi. BAROMETER. Day it hap- |Lowett.} pened. Day it —— 8 of the happened. meek 21ft W.| 29,20} 25. NW. | 30,152 3034 48. & 26.| 29,35 | 23. Var. | 29,846 : NW. W. to S. - 30,63 | 21.E. | 29,45] 18.5. & | 30,02 4 ; SW. - 30,54 | 17.W. | 29,12 | 7- Var. | 29,932 by S. W. to NE. — =| 30,71 | 16. E. | 29,43 | 9. SW.&S.| 30,179 - - | 30,53 1. E. | 29,88 | +20. E. 30,219 - 39,59 |9.N.&E.} 29,66 23. E. 30,171 ae 30,4851 13. N. | 29,71 | 6.NW. | 30,090 - 30,52 | 30. W. | 29,31 20. S. 30,041 > 3058 | 21.E. | 29,44 | 5thS. | 29,96 - | 30,42 |13.NE.| 29,14 | 28th W. | 29,793 : Var. - | 30,61 | 16. W.| 29,48 | 2d SW.. | 30,030 ; : by N. : bof the Year | 30,552 29.437 30,036 THERMOMETER. Highelt lover of the | at Mean. Day. | Night. 55950 | 272— | 39:63 58,— | 35,— | 47,68 62,— | 32350 | 50,42 63s— | 36:50 | 50,74 69,50 | 38,50 | 52,26 { 15s— | 46,—| 61,13 792504) 50:50 | 63,57 75:—— | 46,—| 60,58 65s— | 37:50) 55:33 63,— || 37;— | 50,12 | 55259 | 32,— | 45,20 55a | 325 | 41532 SEQ915 RAIN. Days. Inches. 7. & 3-| 2591145 of Snow} | 20. 25325174. 18. I,2611i2 22. 25522224 18. 75379340 | 14. | 5748784 } 18. °| 2.325174 | 19. 23180665 | 16. 18911668 25+ 25377715 22. 7;676719 19.&1.] 35546877 of Snow 218. &| 28,8260958 4 light | Total of the Snow Year the 2d of July Sixe’s thermometer rofe to 81°,50 at.one o'clock, P, M.. At two o’clock it was 79°,50. THE: Read Janus ary 9, 17963. - [peal Tue greateft height of the barometer was on the 16th of May, viz. 30,71 inches, and on the aift of January, viz. 30,67 inches. Its loweft ftate was on the 7th of April, viz. 29,12 inches, and on the 28th of November, viz. 29,14. Tue hotteft day was the 2d of July, the thermometer ftand- ing for about an hour at $1°,5. and moft of the day at 79°,c. The greateft cold took place in January, the thermometer being feveral times at 27°. THe wetteft month was November, during which there fell the enormous quantity of 7,676719 inches on a fquare foot, about twelve gallons. The drieft was January, there having fallen no more than 0,59114 inches, not quite a gallon. Novemeer was alfo the moft ftormy month. View of the Seafons. SPRING. SUMMER. AUTUMN. Rain, Rar. Rain. Inches. Days. Inches. Days. | June - 0,74878 14 Inches. Days, April - 2,52222 22 | July - - 2,32517 18 | September - 1,89116 16 May - - 1537934 18 | Auguft - 2,18066 19 | O&ober - 2,37771 25 3190156 40 5.25461 51 4,26887 41 ee — eee es HENCE [are Hence we fee by the firft table of the laft volume, page 228, that the Sfring was wet, whether we confider the quantity of rain or the number of wet days. Tue Summer muft be denominated variable, inclining ftrongly to wet, whether we confider the quantity or duration of the rain. The Autumn was alfo very wet. Comparifon of the Seafons with the Rules of Prognoftication: Tue Spring being wet the probability of a wet Summer was the greateft by the third table, being £; but that of variable wet was nearly as great, being ¢ by the fixth table. Tue Spring being wet and the Summer variable wet, the pro- bability of a dry Autumn ftands greateft in my tenth table. If this rule be true, this year is an exception to that rule. The fifth table left it doubtful whether the Autumn would be dry _ or variable. ‘The fourth table indicated a variable. L eed Of the Winter preceding the Spring of 1794. Rain. | Mean. Storms. rae Inches. Days. Barometer. Heat. Oétober - 257192 17 ||29,90 44535 8. SE. SW. December - - 1,8128 17 ||29,81 43951 2. SW. ~ 455320 | 34 |[29.85 Mean| 43,93 1794: January - = - | 59114 to oer 3963 O. February - =n 2532517 20 ||29,84 47,68 4. ESE. NE, March - = 1,26111 18 | |30,02 50,42 z.NE. W. SW. Pers LS ree Tol - | 870942 | 82 ||29,92 Mean) 45,91 Synoptical ‘ye tan [ "IWdR ayi ur Loy, “hz "MN ‘M “A\S|'6 "S28 °MS 'N 4q*Aal'€ ‘MN ‘"H 4qQ‘s]'2 "AS 3M AIS) '¥ “MS “AAN|'2 ‘AN “aS ‘Ss ‘sg Aq a|-+ i | *Sput Ay ‘ON, “SNUOLS | AOUG AVI Ts atstld apr jo [290J, yoryay jo} olzEghgz | Szuo'961 Stgo06tsz 1% MOUG jo zEgoSgsz |*1 29°91 3079'9 be LegbSt o TI gSSofo‘o mal zzfo6o%1 a £gg6Lo%z al SLzbog*o a TEE 5° SgShofiz |b29 ‘91 AMoug jo gr6gozz |-z29°St MOUG Jo SolSgz% |-11 29-9 Aoug Jo F66for% |119 °F *sayouy *shtq ‘NIVY | | | 116164 | | SLtby | oS*z& git 1h! oS*ez izLgtzs | —"1h 9906S | —*Sb 69%zg | 0S‘6b SzS*o9 | —‘ob SLL‘SS | oS*ib SzothsS | —*S€ 990%Lt | oS¢h§ Sg6%1F | oS bz —_—_~ ESO | oS*Ez g6%z& | oS*61 ‘y3IN “UvOTAL 7 —ty “keg ay} ur yomorylyousiey —_— UALANWOWY IHL { Ltoto§ | $*6z £10%0F | "AS wr | go6z | | yI6 | cgfof 'N wyeo Szo‘o€ | Aq‘ magi} g6‘gz | aN yur] ggfof thyo6z ‘Sg yiol =| ¥6%gz ay | Lztof ofzfof | “agmS | L562 | mg wrhi| ro%oF MS "6z 1010£| “mg pz | to%5z | 2» yigz | Sbok ysty “a Fok of | “MN pez | £96z ling 2 WL, gofok “M For‘of | hq "x sage | L862 | an yi61 | Lbtof ‘N Aq £608} “MN YE og’6z | sy ytlz | ELto€ ‘a 4q'N €Lg6z | "myi6r | £E6z Jag sn MS | ghtof yay qaiq “MS 6166z] «ay ynor | z£*6z jog" mioz| OS‘ot *MS01'7 ‘eA wyeo zgL*6z | yir1 2 yror| S6*gz | “Wy WOT | Hgtok 'N “929 S61%0f | w+ yrlz | oz*6z | "AG yIOT | EO%oF “PUOWN| -pauadd -pauadd 90 rege (VAST! Se doce || DINE uray : : 2 UALANOUVEA L6S‘o§ | sea x amp Jo uray Jaquis99 (7 AJIQUaAONT = 129070 aquaidag - ynsny - Ayn - aunt - keyg > qudy > yore - Asenaqe,y Arenuef “S6L1 Tuis [ra Tus year was remarkably colder than the laft. Tue greateft height of the barometer happened in November, viz. 30,88. The loweft in October, viz. 28,94. Tue hotteft days was on the 12th and 20th of Auguft, the thermometer being at 78° on thefe days. Tue greateft cold happened on the night of the 22d of January, the thermometer being at 19°,5, but in the country it was, as ufual, one or two degrees lower. Tue wetteft month was Oétober, the fall of rain being 6,6208 cubic inches, and its continuance 24 days. The drieft was September, there having fallen only 0,354687 of an inch, and only during eleven days, ; View of the Seafons. SPRING. SUMMER. AUTUMN. Rain. "Ram. Ram. Inches. Days. [ Inches. Days.}] June - 2,67986 14 : Inches. Days. April - 2,36458 16 July - - 1,09032 12 September- 0,35468 11 May - 0,64275 12 Augult - 0,63055 14 | O@ober - 6,6208 24 3,00733 28 AshO1TZ | 40. | 697545 35 ————— i ———— eee By ae as 3 - By the firft table the Spring muft be deemed nearly dry or variable dry. -By the fecond table the Summer was alfo variable dry, but | nearer to variable than to dry. By the third table the Autumn _ fhould be deemed wet, but in faé& it was Bifartite, one month, viz. September, being exceeding dry, and the other, October, exceeding wet. Compartfon of the Seafons with the Rules of Probability. Tue Spring being dry the probability of a dry Summer was _ greateft, being 22 in the fecond table. Tue Summer being varrable dry the probability of a variable _ Autumn was greateft by the ninth table. Tue Spring being dry and the Summer vardab/e dr), the pro- _ bability of a wet and variable Autumn were equal by the tenth table. This year then the prognoftics anfwered remarkably of [ *78) J Of the Winter preceding the Spring of 1795. - Mean, 1794. Rain. Days. Bar. November - - 97,6767 22 29,79 December - - 3254687 20 30,03 1122358 42 Mean - 29,91 1795- January - - 2540399 15 30,19 February - = 2528576 19 29,76 March - - = 2,20694 17 29,91 6,89669 51 Mean - 29,95 Total . 18,12027 93 Mean of both- 29,93 a ee —_—— ee Tue quantity of rain that fell this Winter was nearly double that which fell in the Winters of 1793 or 1794. The Summers. and Autumn of thofe years were wet, but in this dry, or nearly fo. If this holds frequently it will form a valuable prognoftic.. [ 197 ] THOUGHTS o MAGNETISM. By RICHARD KIRWAN, £4; LL.D. F.R.S. and M.R.LA. I. "THere are two ways of explaining a natural phenomenon, the firft, is by difcovering the conditions and circumftances of its produétion and the laws by which its aétion is governed; the fecond, is by fhewing its analogy, fimilarity or coincidence with fome general fat with whofe laws and exiftence we are already acquainted; this laft mode is by far the moft perfec and {atis- _ factory. In the firft fenfe of the word eleGtricity and magnetifm have been in fome meafure explained, but in the laft fenfe neither ; the primary caufe of magnetifm in particular has hitherto been fuppofed to relate to iron alone, or its ores, and to ftand uncon- neéted with all other natural phenomena. 2. Ir therefore any other general fa&t or power can be dif- ~ covered to which it bears fome analogy or fimilarity, it may fo far be faid to be explained. Now fuch fa or power I think may be affigned, namely, the power of cryftalization. Vou. VI. Z 3. By Read March 19, 1796. Lee 3. By cryftalization I underftand that power by which the in- tegrant particles of any folid poffeffing fufficient liberty of motion unite to each other, not indifcriminately and confufedly, but ac- cording to a peculiar uniform arrangement, fo as to exhibit in its laft and moft perfe@ ftage regular and determinate forms. 4. Tuts power is now known to be poffeffed by all folid mineral fubftances. 5- Tue forms which cryftals, even of homogeneous fubftances, exhibit, are often very numerous; however in moft cafes they may be reduced to a few primordial forms, which, as Abbé Hauy has lately experimentally proved, are derived from certain original forms appertaining to the minuteft particles of their concretion. 6. Tue affemblage of thefe ultimate particles into vifible aggre- gates, fimilarly arranged, neceffarily requires that one of their furfaces fhould be attractive of that particular furface of the other, which prefents a correfponding angle, and repulfive of that which prefents a different angle, otherwife the various regular rhom- boidal and other polygon prifms and pyramids, which cryftals pre- fent us, could never exift; confequently the minuteft prifm, being once formed, could never be prolonged if one end of fuch prifms were not attractive, and the other repulfive of the fame given furface. 7. HeNcE it has been obferved that cryftalization never takes place in the middle of any folution, but always begins at the fur- face [tage face or on the bottom or fides of the veffels that contain it, for the particles in the middle of the folution being confufedly mixed with each other, and exerting their repulfive as freely as their at~ tractive powers, the one conftantly counteracting the other, no fenfible accretion of a regular kind could take place, whereas the repulfive power of the uppermoft particles, or of thofe that reft on the fides or bottom of the veffel, is reftrained and impeded. 8. Tue repulfive power of cryftalizing fubftances alfo appears in many other inftances (of the attrative no doubt has ever been formed.) Thus if faturate folutions of nitre, common falt, and tartar vitriolate be mixed and fet to cryftalize, each will cryftalize a part, which could not happen if the particles of each of thefe falts did not only attra@ their fimilar homogeneous, but alfo repel thofe of a different f{pecies, otherwife the mere cafual circumftance of greater proximity to one than to the other would impel them to unite indifcriminately. Again, if a faturate folution of allum be mixed with a turbid mixture of clay, and abandoned to infenfible evaporation, after fome time the clay will fubfide and form a dry mafs, but in the interior of this mafs large regular cryftals of allum will be found, whofe component particles muft, to reunite, have difplaced and repelled the particles of clay with which they were furrounded. g. Ir to a faturate folution of a falt that difficultly cryftalizes, a cryftal of a falt of the fame fpecies be inferted, the whole {fo- lution will foon be brought to cryftalize, as the cryftal inferted Z 2. attracts: L ov attracts the particles diffolved, by its different furfaces; but if a falt of a different nature be inferted this will not happen, cryftali- zation will not be promoted. 10. Ir to a folution of 2 parts nitre, and 3 parts Glauber’s falt in 5 parts water, a cryftal of nitre be inferted, the nitre alone will cryftalize ; or if inftead of nitre a cryftal of Glauber be in- ferted into it, the Glauber alone will cryftalize. Do not thefe experiments fully evince both the attraGlive and repulfive powers, not only’ of different falts but of different furfaces of the fame falt? 11. THESE powers within their proper fphere of ation have been found indefinitely great; thus’ water confined in cannon feveral inches thick, and expofed to a degree, of cold much beneath the freezing point, has been obferved to cryftalize into ice that burft the metallic impediment oppofed to the form it then affumes. 12. THE vaft difference however attending the developement of thefe two powers (of magnetifm and cryftalization) will undoubt- edly ftrike many as an infuperable obje@tion to their identity, yet their direétion in all its varieties being exactly the fame, difference in other circumftances feems to me to indicate rather a variety of degrees, in the fame power, than any effential difference - in the powers themfelves. I Now tee I now come to the application of the above principles to the magnetic phenomena. ‘Thefe may in general be reduced to the following, viz. Attraction, Repulfion, Polarity. Communication. Dechnation. _ Inclination. + Exclufive appropriation to Iron. Deftruction of the Magnetic power. iff, Attraction, Repulfion, Polarity. _ Tue quantity of iron found on and within fuch parts of the furface of the globe as we are acquainted with, far furpaffes that of any other mineral fubftance fingly taken, or even of many of them taken together ; fearce any ftone or metallic ore or earth is found free from it ; it enters into their compofition in the propor- tion of from 2 to 18 or 20 per cent. and perhaps at a medium: we may ftate it in all of them at 6 per cent.; moreover its own ores are of all others the moft common and the moft copious ; in many places, particularly in the. moft northern climates, whole moun- tains of it are found, and many of them magnetic. When to this confideration we add that of the fpecific gravity of the globe, ' which has been found to be 4,5 times heavier than water, not- 3 withftanding the immenfe quantity of water that covers the greater part of its furface to confiderable unknown depths, and notwithftanding b ieg Wy notwithftanding that the fpecific gravity of by far the greater part of the ftones and earths it contains does not exceed and {carcely amounts even to three times the weight of an equal bulk of water, and that the quantity of mineral fubftances whofe fpecific weight exceeds four times that of water is almoft infinitely {mall in comparifon to the other known component parts of the globe, and finally that the weight of moft iron ores is about four or five times that of water; all this I fay confidered, it is difficult to avoid concluding that the interior part of the globe confifts chiefly of iron ore difpofed in one or more aggregate maffes ; a con- clufion that is farther confirmed, on refleGting that volcanic lavas ejected from the deepeft recefles with which we are acquainted contain from 15 to 20 or 25 per cent. of iron in the ftate moft favourable to magnetic attraction. Taxine then this affertion to be as fully proved as its fubje& matter is capable of being afcertained, we may deduce from it the following corollaries : ift. Tuar as the ferruginous matter in the globe being by far the moft copious, its univerfal attraG@tive power is principally feated in the ferruginous part. ed. Tuar as all terraqueous matter was originally in a foft fiate, its parts were at liberty to arrange themfelves according to the laws of their mutual attration, and in fa@ did coalefce and cryftalize _ es ot pork Stes: Ee a cryftalize in the direétion in which they were leaft impeded by the rotatory motion of the giobe, namely in that which extends from North to South, and principally and moft perfectly in the parts leaft agitated by that motion, namely thofe next the centre. 3d. Tuart this cryftalization like that of falts might have taken place in one or more feparate /hoots, or as we may here call them, immenfe feparate maffes, each having its poles diftin@ from thofe of the other, thofe in the fame direGion repulfive of and diftant from each other. i In confequence then of the univerfal law of attraction of the particles of matter to each other, thefe internal magnets exert a double power of attraction; the firft and moft general, on the particles of a// bodies indifcriminately in proportion to their denfity, and the direct or inverfe ratio of the fquares of their diftances according as thofe bodies are found within or without the earth’s furface; and the fecond, on bodies of their own f{pecies in proportion to their homogenity, and to the corref- pondence of the arrangement of their integrant particles with that of the integrant particles of thefe internal magnets. A MaGNET therefore is a mafs of iron, or of iron ore, whofe oxygenation does not exceed 20 per cent. or thereabouts, whofe particles are arranged in a direétion fimilar to that of the great internal central magnets of the globe. This I call the magnetic arrangement. Tue [ 184 ] _ Tue particles of iron attract each other more forcibly than thofe of any other known fubftance. This appears by its cohe- fion, hardnefs, elafticity and infufibility, in each of which pro- perties, or at leaft in the combination of moft of them, it exceeds all other known bodies. Hence a magnet eftradéis iron when within the {phere of its action, by forcing, in virtue of its attractive power, a certain proportion of its integrant particles into a difpofition and ar- rangement fimilar to that of its own. For in this cafe it exerts a double attractive power, that of the particles of iron to each other, which we have feen to be the greateft of all others, and that of cryftalizing bodies, which we have alfo feen to be inde- finitely great. Tue cryftalizing power being at once attractive and repu//ve, according to the direction of the furfaces, (No. 6.) hence we fee that one part or end of the magnet muft repel that which the’ other has attracted, as leng as the fame difpofition of parts remains. Tue difpofition of parts in a particular magnet, being fimilar to that which obtains in the great internal general magnet, ex- tends in the direGtion of from North to South. Hence magnets, when at liberty to move with a certain degree of freedom, and iron, when a fufficient number of its particles are arranged in that t a8s ] that direction, and has fufficient liberty to conform to it, points to thofe poles. Hence this property is called Po/arity. 6 THE magnetic power is greater or lefler according to the number and homogenity of the particles /mlar4y and magne- tically arranged. Hence {mall magnets may be more powerful’ than a larger, and hence a magnet will attratt a magnetized needle at a greater diftance than one not magnetized. THE magnetic power decreafes in a certain ratio of the dif- tance of the particles that exercife it. Hence it is ftrongeft in the point of contact, and at the poles, as it is there moft wa/a- turated, and weakeft in the central part, which feparates the two oppofite poles. WHEN a magnet is broken into fmall pieces its power is nearly deftroyed, becaufe though the poles fhould be all of the fame kind, yet the diftance of each from the oppofite pole is fo fmall that their powers counteraét and confequently deftroy each: other. Ir when a needle is attracted by the fouth pole of a magnet a bar of iron be placed on the north pole, the needle is ftill more ftrongly attracted, becaufe the iron acquires alfo a fouth: . pole, whofe force is joined to that of the magnet. Vox. VI. ; Aa Ip [ 286" J Ir twomeedles be fufpended from any given pole of a magnet they will diverge, becaufe they both acquire the fame polar arrangement. If a bar of iron be laid on that pole of the mag- net the® divergence will diminifh, becaufe the next end of the iron will acquire the difpofition of the oppofite pole, and con- fequently counteract the repulfive power of the magnet. A MaGNET will not tranfmit its power through -a bar of iron if this be too long. Mufchenbruck limits their length to fix feet, but this depends on the ftrength of the magnet. THE power of a magnet (every thing elfe being equal) de- pends on the number of its Jurfaces magnetically arranged, and the accuracy of that arrangement. THE arrangement is accurate when the fynonimous furfaces are exactly parallel to each other, and originally conformed to and parallel with thofe of the great general magnet. ; ' Tue magnetic attraction is ftrongeft in the direction perpen- dicular to the magnetic furfaces, and weakens in proportion’ to the magnitude of the angle of direction with the perpendicular, and confequently is 7/7 when at a right angle with it. Hence the magnetic power feems concentrated at the fo/es, and the lateral powers ‘dre ‘the weakeft, as they originate. only in the oblique direction of furfaces, or from furfaces inaccurately ar- ranged. Ir oF ad CP ALLIS GFO IEA MEE PES EAE [ 387 ] Ir the fouth pole of a magnet be charged with filings of iron, and then approached to a bar of iron ftanding erect, part of the filings will drop off, becaufe the poles of the fame name, by ex- citing a contrary arrangement, weaken each other; but if the filings were fufpended from the north pole of the magnet it would take up {till more of the filings, as the oppofite poles ftrengthen each other, the uppermoft pole of the iron in this cafe becoming magnetic by pofition. Ir the fynonimous poles of two magnets of unequal powers be, approached to each other, if the powers be very unequal the ftronger immediately deftroys the weaker, and inducing a con- trary difpofition attracts inftead of repelling it; if the powers be lefs unequal it requires a longer time; {fo alfo if one be /ofter than the other. Even if their powers be equal, yet after fome time the fofter will yield to the harder. If both be equally hard they only weaken each other. Ir a magnet be cut in two, in a direction parallel to the axis, the parts before conjoined will now repel each fone becaufe they fll retain two fynonimous poles. Bur if the magnet be cut in two in a direction perpendicular to the axis, the two ends before conjoined will ‘ow attract each other. Aa 2 Ip | roe J Ir a magnetic wire be twifted, its powers are fo difordered that one fide of the wire, in fome places of it, will be attracted and the other fide repelled by the fame pole of the magnet. THE power of magnets (ceteris parib.) is in proportion to their furfaces or as the fquares of their diameters.—See Hutton’s Magnetifm, p. 72. Communication. WHEN iron is applied to or brought within the fphere of activity of a particular magnet, it acquires the arrangement re- quifite to form the heteronymous pole, and thus becomes itfelf in fome degree magnetic in its whole length, if this length be not totally difproportioned to the power of the particular magnet. Hence the other end of fuch bar of iron acquires the ar- rangement of the oppofite pole, according to the laws of cry- ftalization already laid down. Iron becomes magnetic either by contact or proximity to a magnet, or by pofition, or by internal commotion. Ir a bar of iron be placed in a vertical pofition its infenfible fibrille gradually acquire the magnetic arrangement, fo that after fome years it becomes a complete magnet, its /owe/? part becoming a north pole, that is, pointing when free to the north, and [ 189 ] and the wpper a fouth pole. In the S. hemifphere the under end becomes a fouth pole. A ear of iron not previoufly magnetic does not acquire this difpofition in the flighteft degree while lying in a horizontal or nearly a horizontal difpofition, but if one end of it be raifed it immediately acquires it in fome degree, as appears by approach- ing a magnetic needle to either end, becaufe in that direction it is then expofed to the eh of the polar ends of the great general magnet. Bur if a bar of iron be heated, though only at one end, and while hot fet in a vertical or nearly a vertical pofition, it will acquire the magnetic power much more readily. So alfo if one end of a bar of iron not magnetic be ftruck againft the ground it will become in fome degree magnetic, the lower end becoming a north pole, &c. and if afterwards the other end be ftruck in the fame manner the poles will be re- verfed. Hence it is evident that any motron communicated to the inte- grant particles of iron placed in a proper fituation helps them to affume the magnetic difpofition already impreffed upon them by the great general magnet. Ir the oppofite poles of two magnets of egua! power be ap- proached to each other the power of both is increafed; and if [ 190 | if one of them be more powerfu/ than the other it will increafe the magnetic difpofition, and confequently the power of the weaker. Sof? iron, as its parts are moft eafily moved, receives the mag- netic difpofition moft eafily, hard iron or tempered fteel more difficultly, and ca/? iron, as being both hard and abounding in the heterogeneous particles, moft difficultly and imperfectly. WHATEVER way iron is applied to a magnet the magnetic power is diffufed in the direction of its length. Hence it fhould feem that when a bar of iron is laid on a magnet the contiguous ends of the iron become poles of the fame name with thofe of the magnet to which they are contiguous, and hence may be derived the power of armed magnets, for the furfaces of the armour immediately beneath thofe of the magnet imprefs a direétion oppofite to their own on thofe of the magnet, and confequently rectify fuch furfaces of the magnet as may have been inaccurately directed, and thus ftrengthen it. To communicate the magnetic power to iron by friction againft a magnet, it is neceflary that its pole fhould flide along the magnet feveral times in the fame direction, for if the direc- tions be alternately oppofed the powers received will fucceflively deftroy each other. A syNontMovs pole is formed at the end at which the friction begins, to that of the magnet applied, and an oppofite at that at which it terminates. Appropriation Biron ce Appropriation to Iron. Ir has of old been obferved that the magnetic phenomena - were peculiar to iron, and the reafons why they are fo have been already affigned, but of late fome femi-metals have been obferved to partake of thefe properties, as Nickel, Kobalt and Manganefe ; this has been thought to arife from a mixture of ferruginous par- ticles from which they can be fcarcely freed, and with refpea to Manganefe, and in many cafes of the others alfo, this feems to hold true; but with refpe@ to Nickel, and in fome inftances of the others alfo, the magnetic properties they difcover feem to me to proceed from their great attraCtion to iron, particularly when their particles are duly arranged, for then they are expofed to the power of the great general magnet, which aéts on them in pro- portion to this arrangement and their affinity to iron. Of Inchnation and Dechnation. TuEse phenomena, which are fo different in different parts of the globe, and even in different feafons and hours of the day, not being as yet noted with fufficient certainty and precifion, I _fhall for the prefent decline entering into their explanation. ae. ib ie SA ioe ' é "a - ” : } s > : : - - : Fie twa Bie © vr’. Se cap RRanta: Shearer vs * er ae ve SF FYE /OL AP Yor Sse rose ak gti al seh E ; De a “ si hg ’ Pate | ie gg ve : eee Y i ee io 4) fn SAE oe’ . i Ride OME B iva sith Sidi ta 2f ine el st 231 recon ays ree , ‘ Eve haiey Bae 1p Ss ~ eet ; ‘ied > hee ee an as . pate oa = eae f i } : 2 Pl AAS] ne yt ‘ : YoC(asinéhal sci i ni } : WIPE WINGS OFF D 7 ay hath by vital t2xitg ithe ast : a mig nphia wut ok n ‘ + t- Ve 4 ce he = 22 har 7 iw aAstibee dota y Bint fess) oe B28g. rr tore of dina shod Sain ane it veneite fob 20h * $ t - : ‘ Staen. ; NORE raced WIN, wae yaa 8 at pe . . nt ‘ ie “i, v Jo attee MaxsThh rt igarshib- ol pup dad? SHIM 5 Me . a 4) oo bo 2 Web vag 10% antsorl bas eaves) saegathib at 197%, haa: ; . : ‘ay - ) meyre.° Arg J BG) Marg base arg ish 554 wiailles, dtiyy Botan tay 2h £ ATOR SHNURED 9 siads oder gunstae anil ’ ‘ . ‘ £ ; 7s : \ wo \ a ‘ f \ : hs ¥ Py ba ee ur é bY x as Fh fr ir i [sag d On the METHOD of DETERMINING “¢#he LON- GITUDE, 4Yy OBSERVATIONS of the MERI- DIAN PASSAGES of the MOON and a STAR made at two Places. By the Rev. JAMES ARCHIBALD HAMILTON, .D.D. Profefor of Aftronomy at Armagh. “General Rule for determining the efimate difference of the Longi- tude of a given place, from fome well known meridian, by obfervations of the different intervals of A. R. of the moon's enlightened limb from a ftar at each place on the fame day. L ET the paffage of the moon’s enlightened limb be carefully obferved to the neareft tenth of a fecond, over the feveral wires of the tranfit inftrument, and let its paffage over the centre be deduced by ‘taking a mean of its paffages over the equidiftant wires, properly reduced. Let one or more fixed ftars that lie near her parallel of declination, and alfo as near to her in A.R. as can conveniently ‘be had, be obferved in like manner. Let the rate of the fydereal clock, which is the moft convenient for this ‘purpofe, be carefully afcertained, and from this and the obfer- vations colle& the exact difference of the moon’s A. R. from Vou. VI. Bb one Read Noy, 1, 1794. ; 19m 3 one or more of thefe ftars under your own meridian. Having obtained correfponding obfervations from fome fettled obferva- tory, find the difference of the differences of A. R. of the moon’s limb from the fame ftar, under each meridian; take from the ephemeris her increafe of A. R. for the 12H. including the obfervations, and fay: As this quantityof A. R: 12H:: the apparent difference of the obferved differences of A. R. to the eftimate difference of longitude. This eftimate difference will always be exact enough to enable you from tables or by cal- culation to find the corrections to which the obfervations and the lunar rate muft neceflarily be fubjefted, to deduce from them the true difference of longitude between the refpec- tive places of obfervation. To elucidate the nature and grounds of thefe feveral correCtions, I fhall premife fome general confi- derations on the obfervation of the difference of A. R. of the moon’s enlightened limb from a ftar, and of the equation of the moon’s increafe of A. R. in 12H. as given in the ephe- meris. As this is acknowledged to be one of the moft certain and convenient obfervations for determining the longitudes of places, the redu@tion that is required to give it its due accuracy feems deferving of a more diffufive explanation than as far as I can find has been hitherto beftowed on it by any of the writers on practical aftronomy. Mr. Vince, in his late treatife, mentions this method, as having been recommended by Dr. Mafkelyne in the year 1769; and reports the fuccefs- ful f mag J ful application of it by Mr. E. Pigott, then of York, in de- ducing the difference of longitude of his obfervatory from that of Greenwich. Both he and Mr. E. Pigott, to whom indeed we principally owe the advantages that may, and moft pro- bably will accrue to geography from this method, _ befides ftating the general proportion, mention, that when the moon’s rate is irregular attention fhould be paid to that circumftance, and Mr. Vince further adds, that the accuracy of the refult will be greater, if we allow for the difference of the increafe of the moon’s A. R. in the intervals of the paffages of the two meridians over the moon and ftar, for that the obferved difference is not accurately the true difference, when the two meridians pafs the ftar. As the fixed ftar is the permanent and immutable term of the comparifon for both meridians, Mr. Vince very juftly refers the difference of A. R. that is to be determined to the aGual moment under each meridian, that thefe meridians apply to the ftar and not to the moon’s enlightened limb. The gueftion then, in its moft fimple and accurate form is, when the meridians fucceflively apply to the fame ftar, what is then the precife difference of the A. R. of the moon’s enlight- ened limb from that of the ftar for each meridian? To elucidate this point—Let us fuppofe the paffages to be obferved by a clock, moving fydereal time, and the meridian applies firft to the moon’s enlightened limb; its A. R. is then Bb 2 denoted [ 196 ] denoted by the clock. The fame meridian prefently arrives at the ftar, whofe A. R. is in like manner expreffed by the clock. The time elapfed between the obfervations would be the true interval of their A. R’s. fuppofing the moon to have ftood ftill in her orbit—But the moon was increafing her A. R. during the whole of the elapfed time; and of courfe every moment approaching nearer to the ftar, therefore when. the ftar paffed their difference of A. R. was decreafed by the quan- tity of A. R. gained by the moon during the interval: of fy« dereal time elapfed fince her own paflage. If then a given) meridian fhould pafs the moon at 12H. and a ftar at 14Hs. their apparent difference of A. R. would be 2H. and: their true difference of A. R. at the moment of the paflage of the far would be the apparent difference—the moon’s increafe of A. R. - in 2H. If under another meridian the moon fhould: pafs at 12H. 1’, and the ftar at 14H. then their apparent difference of A. R. under that meridian would be 1H. 59',— and their true difference A. R. at the time of the ftar’s paffage 1H: 59—the moon’s increafe of A. R. in 1H. 59’. Therefore the actual difference of thefe obferved differences of A. R. is not the true quantity required, but muft be leffened by a quantity of A. R. proportioned to the moon’s rate in her orbit; and the differ- ence of the two fydereal intervals of 2H. and 1H. 59.; for let us fuppofe the moon to increafe her A.R. at the regular rate of 30° of a degree for an hour, and a meridian to pafs her firt limb at 12H. and that the fame meridian applies to a ftar at ie [ soz ] at 14H. at the time therefore of the ftar’s paffage, the moon had fince her own paffage approached the ftar by 60’ of mo- tion= 4° in time +2 H.—4’ or 1H. 56’ was the true interval of A. R. between thefe heavenly bodies when the ftar paffed. Let us again fuppofe the moon to move at the fame rate in her orbit, and another meridian to pafs. over her firft limb when it had 12H. 1’0" of A. R. The ftar fhe was before compared with being a fixed point, will be found by this fecond meri- dian at its permament ftation of 14H. and to get the true differ- ence of the moon’s A. R. from the faid ftar at the inftant of its paffage 1H. 59’ the obferved difference muft be leffened by the moon’s increafe of A. R. in 1H. 59=to 59’. 30” of motion, or 3° and 58" of time, EXAMPLE. Firft Meridian. ees : > 1 limb paffes at - - Pegg Star paflesat - - - 14 0 © Apparent difference of their A. R’s. - 2 © 0 Dedué& the moon’sincreafe of A.R.in 2Hs.o 4 0 True difference of their A, R’s, when the ftarpaffed 1, 56. 0 ———— Second [ 198 J Second Meridian. Bk cum ) 1 limb paffed at - - 1900 he Star paffed at - - IAs Oi Apparent difference of A. R’s. - ae aes) Dedué for moon’s increafe of A. R.in 1H; 59.0" - - 3 58 em cs eee True difference of their A. R’s. when the ftar paffed 1°55 2 Apparent or obferved difference of A.R.at rt meridian 2 0 © Apparent or obferved differenceof A. R.atadditto 1 59 o Apparent difference of )’s A. R. for the interval of the meridians e a = = 0 1 0 True difference of A. R’s when the ftar paffed 1ft meridian 1 56 o True difference of A. R’s when the ftar paffed 2d meridian 1 55 2 True difference of }’s A. R. for the interval of the meri- dians - - - - - oo 58 Let us now take an example, at the fame lunar rates and intervals of meridians as before, only fuppofing the ftar to pre- cede the moon. Firf tne - ast ge > Sa s [ 199 ] Firf? Meridian. Bie * Star paffes at - = 12 00 >’s 1 limb paffes at - I4 0 0 Apparent or obferved difference of their A. R’s 2 0 o Dedué for moon’s increafe of A. R. fince the ftar paffed 0 4 0 —— True difference of their A. R’s when the ftar pafled - 1 56: 0 Second Meridian. Star paffes’ at - = 12 0° 0 > 1 limb paffes at - - 14 1/0 Apparent or obferved difference of their A.R’s. 2 I 0 Dedué for )’s increafe A. R. in 2H. 1’ fince the ftar paffed 0 4 2° True difference of their A. R’s when the ftar paffed: -- 1.56 58 eee Apparent or obferved difference of A. R’sat rft meridian 2 0 © Apparent or obferved difference of A. R’s at 2d meridian 2 I Apparent change of y’s A. R. for the interval of meridians 0 1 o.- True difference of A. R. when the ftar paffed 1ft me- ridian - - - - - 13-56) 0 True difference of A. R. when the ftar paffed 2d do. 1 56 58 True change of )’s A.R. for the interval of meridians 0 o 58 Hence [ 200 | HeENceE it is evident, that in each cafe the obferved difference of the differences of A. R. is to be leffened by a quantity pro- portioned to the moon’s fuppofed uniform rate, and, the inter- val of the meridians; the moon’s rate therefore being given, the abfolute quantity of the correction will depend on the dift- ance of the meridians afunder. Nore—The whole of the fydereal interval between the paf- fages of the moon’s enlightened limb and the ftar, being com- mon to both places of obfervation, 1’ only excepted, it is for this minute only which is the difference of the fydereal inter- val between the moon and ftar at the feparate places of ob- fervation, arifing from the moon’s motion in her orbit during the interval of the paffages of the two meridians, that the effec- tive corretion, amounting to 3” in this inftance, takes place. as | [ sor ] M1. Ma son —t-4e © Tue fimpleft form that can be devifed for explaining the nature of this correction, is to fuppofe, as in the annexed figure, that the moon’s enlightened limb L’, and a ftar S on her parallel, apply at the fame inftant to 1ft meridian M. 1. then the true and obferved difference of A. R. will, there be the fame, viz. o. then let the ftar S’ apply to a fecond meri- dian M. 2. 3 H. diftant from the former; and let the moon changing her A.R. at the uniform rate of 24’ time in 12 -hours be arrived at the point L’, having receded from the ftar Vou, VI. Cec by f 263 J by 6’ of A. R. in time, when the ftar S’ is on the 2d meridian, and the interval L’ S “the difference of vw. R. which compared with the moon’s increafe of A. R. in 12H. will give the differ- ence of meridian or of longitude. But while the point L is coming to the 2d meridian the moon will have receded to the point =, and when her enlightened limb arrives at the ad meridian the obferved difference of A. R. between the ftar and it will be » S’ and the corretion of this obferved differ- ence will be " L’, it is obvious this quantity will increafe with the quantity L’S’, and the quantity L’ S’ will be in the dire& proportion of the increafing interval of 1f and ad me- ridian, and of the moon’s aétual rate in her orbit. Ir the moon is not compared with any particular ftar at either meridian, but her apparent A. R. on the meridian ob- ferved at each place by well regulated fydereal clocks — The fame correction of the obferved difference of A. R. is required, as though her enlightened limb was compared with a given fixed ftar; for in this cafe fhe is, in fact, compared with an imaginary ftar in the firft of aries, her obferved diftances from which are fubje@t to the fame regulations as though there was a real flar at that point in the heavens. Ir may be farther neceflary to add on this fubjeé, that if at the different places of obfervation the moon fhould be on the oppofite fides of the ftar with which fhe is compared, then the i i i ee Pree [ 203 ] the fum of the intervals of her A. R. from that of the flar is to be ufed in this calculation inftead of the difference of thefe intervals. Wuewn the meridians are even a moderate diftance from each other, the neglect of the equation for the difference of the obferved and true interval will have a very confiderable in- fluence on the refult of the obfervations; when the moon moves at her quickeft rate, and the meridians are only 10° afunder, -the correftion amounts to 5” of time on the obferved interval, it will of courfe in all cafes require to be very ftritly attend- ed to. To facilitate therefore this part of the operation, I have calculated a fhort table, intitled “ A table of corrections, &c.” for which the correction of the interval for any lunar rate, and for any longitude not exceeding 10° may be taken out with fuf- ficient accuracy almoft at fight. The correction in this table is given in time to feconds, tenths, &c. that it may be directly applied to the difference of the A. R’s. as found immediately by the tranfit inftrument. The difference thus correfted is to be changed into parts of a degree, to prepare it for the ana- logy from whence the longitude is to be finally deduced. We have hitherto confidered the moon’s rate in her orbit to be equable, but as this is feldom in reality the cafe, this me- thod requires that when her fate is unequal, the fum of her A.R. gained in 12H. fhould be equated as nearly as poffible, Cc 2. according [ 204° ] according to the rate fhe moved at, at the time of the mid-inter- val of the obfervations. To explain this, let us fuppofe the moon, by an equable motion, to have changed her A. R. in 12H. by 6%, and on that day under a different meridian her difference of A. R. from the fame ftar with which fhe had been compared at a former meridian was found to be encreafed by 1°, then 6°: 12H. :: 1°: 2H. the longitude required. Now on another day let us fuppofe the moon to have gained as before 6° A.R. in 12H. but at the following rates for each hour of the 12H. H. H. H. H. 1ft | 30’. 6"| 4| 30°. 3"| 7 | 30°. 0” | 10] 29’. 56* 2 305 |5 30 .2 |8|29 .58 | 11] 29. 55 3. 130-4 16!30.019129.57 112129 - 54 Should the moon’s A. R. be compared with the fame ftar at the fame places on this day at the beginning of the 12 hours fhe will be found to have adiually gained in the interval of the paffages of the 2 meridians 1°. o. 11". and the proportion un- equated would be 6°: 12H.:: 1°. o. 11”: 2H. 0. 22”. and fhould the obfervations happen near the end of the 12H. the moon would be found to have gained in the fame interval only sg 49’. of A.R. and the unequated proportion would run thus, 69: 12H.:: 59. 49’: 1H. 59. 38; ‘whence it is evident that the longitude deduced from thefe obfervations would be in one cafe 22" too great, and in the other 22" lefs than the truth: This fource Ee ees [ 205° ]. fource of error therefore fhould be corrected before the propor- tion is ftated, by altering the firft term in conformity to the moon’s actual rate during the interval between the obferva- tions. Thus in the firft- analogy the deviation in 2 hours from the mean rate of 30’ per hour is + 11"; this multiplied by 6 gives 1' 6", which added according to its fign to the firft term of the proportion would’ make it 6°. 1. 6’, and the proportion’ would: ftand thus, 6°. 1. 6: 12H::1. 0, 11": 2H. the ground and. neceffity of this corre€tion are evident, and when it is not applied ,the irregularity of the moon’s rate being given, the quan tity of error will be greater or lefs.in-proportion:as the obferva- tions were made at a part of the 12H. more or lefs diftant: from the hour of the mean rate. Had thefe fuppofed obferva- tions been made between the sth or 7th hours the longitude ' would have come out true without any correction of the rate: whatfoever: Havine premifed thus much on the nature’and grounds of this correction, I fhall proceed to a fhort explanation of the: readieft method: of making it under’ every poffible change of’ of the moon’s rate with-due accuracy and precifion: M. de la Lande, in his Aftronomy,liv.7. article 1521, obferves that when the longitudes or A. R’s of the moon are ftrictly: calculated from 12H. to 12H. as they are given in the Nautical Almanacs and other Ephemerides, you may thence. deduce the. horary motion for any part of this period to a great degree of precifion ; J, 2065 ] precifion ; for if you take the 12th part of the moon’s move- ment in longitude or A.R. for 12H. from noon to midnight, or from midnight to the fucceeding noon, you will have the horary motion either in longitude or A. R. that took place at 6H. or 18H. For by the method of interpolation, vide article 3928, he afcertained that in fpite of all the irregularities of the lunar motions the 2d differences proceed at a rate that is to all fenfe uniform even for the fpace of 24 hours; it is evident therefore, that having obtained the horary motion, for 6 or 18Hs. by taking the ~, of the movement for 12H. you may then have it for any other hour of that interval by an even proportion. As the A. R’s. are the only lunar motions we have occa- fion to make ufe of, in this method for the longitude of places, I fhall only confider the manner of finding the moon’s horary motion in A. R. for any required minute of any interval of 12, and thence of afcertaining the exa& quantity of the A. R. for 12H. that is to be ufed both for the correCtion of the in- terval of obferved A. R. between the 2 meridians, and alfo for the correction of the eftimate longitude. Take out of the Nautical Almanac, or any other good Ephemeris, the two calculated A. R’s. immediately preceding, and the two that immediately follow, the hour and minute for which you want to determine the moon’s horary motion ; place thefe 4 Os thefe in four fucceffive lines below each other, and by their fides their three fucceflive differences for each 12 hours; mul- tiply each of thefe laft numbers by 5, taking the degrees for minutes and the minutes for feconds, and you will have three other numbers that will accurately denote the horary motions at the mid-intervals of the pairs they refpectively belong to. The reafon of multiplying by 5, &c. is merely for brevity and convenience in. finding the + of the motion in A.R. for 12H. for a X 60! + 12=a% 5’, which laft is much the moft conveni- ently and readily done. ~ Havre thus got the horary motions for the mid-intervals of 6H, and 18H. to get them for any other hour and minute _you have only to take the difference of the horary motions at the beginning and end of the period of 12Hs. that includes the hour and minute for which the rate is required, and fay, as 12H. is to the whole difference, fois any other number of hours and minutes to a proportionate part; which added or fubtraét- ed as occafion requires, to or from the rate of the neareft mid-interval, gives the rate at the time demanded. Let if be required, for example, to find the moon’s horary motion in A. R. for 6H. 30. on the sth Jan. 1789. H. Jantayaty 12 (engoe on! Paki 5 | 30! 20! horary motion 4th day at 18 G) Py5220 | 90 Kan isst tug fe 31 20 horary motion sth day at 6 seat ol bz heeeratn 6 38 32 20 horary motion 5th day at 18 6,at | 0 | 34 39 i - Here [ 208 J Here 30! being the excefs of the time for which the rate is re- quired above the laft mid-interyal, and 1’ the variation of the horary motion for 12H. fay, 12: 1:: 30°: 2” 30", which added to 31.20 the rate of the horary motion at 6H. gives the horaty motion at 6H, 30 = to 31. 22. 30°. If we now fuppofe the mid-interval of the moon’s paflage over two fucceffive meridians, at each of which the diftance of her enlightened limb from the fame ftar was obferved to have happened at this very time, then to determine the difference of their longitudes from thefe obfervations ‘her whole increafe of A. R. for 12 hours, at the precife rate at which fhe then moved, is required; and this quantity is had by multiplying the horary motion at 6H. 30 by 12—thus, 31. 22. 30. X12=6°. 16. 30. Aut that feems now requifite is to add a few words on the meafure of time to be employed in the calculation of the lon- gitude, by this method of comparing the )’s limb, when on two different meridians, with the fame fixed ftar. As the calculations in the Nautical Almanac, of all the lunar motions, are exprefsly declared to be made for the apparent moments of noon and midnight, as deduced immediately from the fun, and as this apparent time, about the 20th of December, varies 30’ inaday from M. © time, it is evident that the change of the y’s A. R. for 12H. at that time, as given in the Nau- tical Almanac, is in fa@, the change for 12H. 0 15 of M.OT. In this cafe therefore the A. R. gained in 15", fhould be de- ducted [ 209 |] duéted from the fum of the increafe of the )’s A. R. in 12H. apparent time; that the remainder may correfpond to the ad term of the analogy (viz. 12H.) in M. © T.and thus the 4th term of the proportion, namely the difference of longitudes, will alfo come out in this equable aftronomic meafure of time. This correGtion will take place wherever the diurnal difference be- tween mean and apparent time is great enough to make any fenfible difference in the firft term of the proportion. Tue refult thus obtained, will however require a {mall cor- reGtion in the amount of the longitude, as found by this lunar - problem. For as 24H. M.© T. amount to 360. 59. 8=*, and as the whole equator comprizes but 360°. 1H. of M. © T. fhould indicate 15°. 2.8. of the zquator, and as terreftrial longitudes are counted at the rate of only 15° to an hour, the longitudes given in M.© T. fhould be corre€ted according to this differ- ence, and the quantity of this corre@tion will be readily thewn by the tables for converting M. folar into fydereal time. Or perhaps it may be as ready a way to reduce the 12H. of M. folar time into fydereal before the proportion is made, and thus the three firft terms in the proportion being in this mea- fure of time, the fourth will confequently come out in the fame, and no further correftion be required. Mox. VI. Dd TAKE f i-'2 Ome Take an Example each way: itt. §° TH. MEO TL! 46007 TEM: © TT: YP - bot eee M. © T.=1H. 0. 9", 83 fydereal time. od. 12H. M.© T. = 12H. 1. 58, 283 fydereal time. Therefore 8°? 12H. 1’. 58, 283:: 40°: 1H.0 9g’, 83. It is further to be obferved that though the two corretions I have juft ftated are the principal ones that ufually occur in this calculation, and indeed the only ones that for meridians of fhort intervals afunder are fenfibly requifite, yet in order to difcufs this queftion fully it may be neceflary to mention fome other fources of irregularity, that at particular times and at places confiderably diftant from each other in longitude, well deferve the notice of the attentive and fcrupulous aftronomer. The ap- parent difk of the moon: (as feen from the centre of the earth) being a quantity perpetually varying in its dimerifions, if its change fhould be fenfible in the interval between the obfer- vations at the firft and fecond meridian, it is evident that in proportion as the diameter of the moon is either contracted or expanded during this interval, the enlightened limb which fhould be a fixed boundary of menfuration for each place will cither retire farther from or be protruded towards the ftar more under the fecond meridian than it was under the former; and thus, independent of all other caufes of error, vitiate the accu- racy of the meafurement. This alteration of the difk happens from the moon’s changing her abfolute diftance from the earth during ERS IES Me ay Re Fo i an 4 during the interval of the obfervations. . As the greateft varia- tion of the moon’s femidiameter is about 16” in a day, in this extreme cafe, under meridians that are 6H. afunder, the cor- rection of the difk from this caufe only would amount to 4’. And fhould fhe in the interval have changed her declination, fo as to vary her femidiameter by another fecond in the fame di- rection with the former variation, then the aggregate of thefe alterations of the lunar difk would colle&ively amount to five feconds, a quantity that would make a confiderable error in the determination of the longitude. Tue neceffary correftions being found from the eftimate lon- gitude and the tables, and carefully applied, all that remains to be done is to ftate over again the analogy mentioned in the general rule, fubftituting therein the corrected numbers. To ren- der this final analogy as bricf and as eafy as poffible, I have added a fecond table of aff/fant logarithms for every minute of the moon’s increafe of A.R. for 12H. in which. the arith- metical complement of the proportional logarithm of the quan- tity of the moon’s increafe of A. R. in 12H. for every change of 1’ in her rate is added to the proportional logarithm of 12H. fo that all that is neceffary is to change the corrected differ- ence in time into parts of a degree, and to add its proportional logarithm to the logarithm taken out of the table, and the fum will be the proportional logarithm of the difference of the two meridians in time. Dd 2 EXAMPLE. Be? EXAMPLE. January sth, 1789. The meridians of Greenwich, and of the obfervatory of Trinity College, Dublin, (eftimated longi- tude 25’. 18’. weft of .Greenwich) were obferved to apply fucceflively to « Aquile and the y's firft limb at the following intervals of A. R. in fydereal time. GREENWICH. OxgsErvaTory, I.C. D. a Aquile 19H. 40. 32".15 Aquile 19H. 40. 52”, 8 ysiftlimb 1. 40. 8 50 Y’siftlimb 1. 41. 26, 3. Apparent difference of A. R. at Greenwich 5H. 59’ 36”, 35. Clock moving nearly fydereal time. Apparent difference of A. R. at Obfervatory, T.C. D. 6H. 0%. 33% 5 Dedué€ for clock’s rate 2, 6 6. 0. 30, 9 Apparent difference of A. R. at Greenwich 5. 59. 36, 35 Appar. change of A.R. inthe interval of meridians 0. © 54,55 Correction from Table I. T, 90 True change of A. R. in the interval 52, 65 —— Change [ete Change of y's A. R. for 12 hours at the rate of 6H. 33, being the mid-interval of the obfervation 6°. 16. 30 Its affiftant logarithm from Table II. : g. 7186 prop. logarithm of 52’, 65=13. 9’, 7 I. 1360 0. 8545 prop. logarithm of 25' 9’, 6, which reduced to fydereal time is 25. 13", 7 longitude weft. Nore.— Thefe appulfes of the moon and ftar to the meri- dians of Greenwich and of the Obfervatory of T. C. D. were obferved with the excellent tranfit inftrnments that thofe ob- fervatories are furnifhed with—and reduced by a mean of the five wires in the refpective tranfit books of Drs. Mafkelyne and Ufsher. On the Conftruétion of Table \. As the corre€tion of the difference of the difiances of the moon’s enlightened limb, from the fame ftar under different meridians, evidently depends on the interval of the meridians, combined with the moon’s rate at the mid-interval of the ob- fervations, the table intended to facilitate this corre@tion was conftruéted in the following manner : Let S be the fum of the moon’s increafe in A. R. for 12H. Hi2H. L the eftimate longitude, D the difference of A. R. [ aed AR: correfponding to the moon’s rate and the eftimate lon- gitude, and C the correion required. Then 3 S;: LD Di & B= Sep) 2C. Onll=—S 9451 2D: S§xL x Bin! ct Ree 2) E SxL ae — _ Confequently p= esc: D= i xX Ts= & PXs H =. TABLE ol. Corrections of the apparent differences of the difiances of the moon’s limb from a ftar, as obferved on the fame day under different mert- dians, in parts of fydereal time. ‘Space. Dit tws:| Increafe of the Moon’s A. R. in 12H. | lime. | LT '5°.34.6e. 4° 6°. 34 ee 13 34" 8°. 4 4 |o, 24! 0. 2 28 0, 33 0, 0; 38 0, 4310, 49 8 (0, 47/0, 57.0, 66 0, 760, 86) 0, 97 iz Io, 71 O; », 85 9.99 1, 14 1, 30'1, 47 16 a.00) I) 14 (4h, 354 1 20) 1, 721s ae! 20 |I,20;1, 42 1, 65 1, OI 2, 17' 2, 46 24 lt, 45| 1570 72 1. 98 2, 29 2, 60 2, 94 28 1, 68) 171 98:) 2593 bias sOF 9:1:04 | 35:43 I, 92 2. 27 2, 64 3, 06 3, 47 3, 93 2 15} 2, 551 25 97 . 35 44,3, 9° | 4, 42 | 2, 38 2, 8413, 31 3, 82 4, 34/4, 94! This [. ang This table is to be entered at top with the moon’s fuppofed equable rate for 12 hours affumed from her true rate, at the mid-interval of her paffage from the meridian of the firft place of obfervation to that of the fecond; and at the fide with the eftimate difference of the longitudes of the places in time or motion. N. B. In conftruéting the above table, the two firft terms S. Eyrargs j of the feries = 1+S+, &c. were only ufed as giving a refult fufficiently accurate. 4A Table A Table of afiftant logarithms to facilitate the proportion that is to be made for deducing the longitude from the correéted differences of the A. R’s. of the moon’s enlightened limb from that of a far, 216 | obferved on the fame day under different meridians, being | O © O39 69 Od © 8 Mme Oo PA Bek oe ke , BP 62 ‘ 62 , 6° (50/9. 6868] 9/9. 7097 29|9-7326)49| 9. 7544 '51{ 688o}To] “7rog)30) 7337/50] 7555 52) 68g2) 11) 9 7r21| at 7349] 51. 7565 53| 6905/12] 7132132] 7360/52] 7576 54| 6917/13] 7144133] 7371/53] 7586 55| 6929114] 7156/34] 7382154] 7596 56] 6941/15) 7167/35] 7393155] 7607 57} 6953|16| 7179/36] 7404156] 7618 58} 6966/17] 7190137] 7415]57] 7628 159] 6978|18| 7202]}38|° 7426 58 7639 6° 19]. 7213139] 7436|59] 7649 0/9. 6990] 20] 7225]40 7448 HQ I] 7002/21} 7236/41] 7458) o}9. 7659 2} 7014|22| 7248/42] 7469] 1 7670 2). O26 |\2' 7259|43| 7480] 2| 7680 4} 7038/24} 7270/44] 7491] 3]. 7690 5 7050|25| 7282/45 7501]. 4] 7701 6 7062/26] 7293/46] 7512 5 OTe 71 70741271 7304147) 7523) 6| 7721 8] 7085|28! 7315|48| 75331 7| 773% r. gun al TABLE JI. continued. 7 ‘ 1 ha ? bi : go 8 9.7741 | 28) 9. 7940/48 9. 8129 9 7751)29| 7949)49| 8139 10; 7762/30} 7959/50] 8148] 9]. 8320 II} 7772/31) 7969/51} 8157/To} 8329 12) 7782/32} 7978|/52| 8166/11} 8338 18 | 7792\33| 7988)53| 8176|12| 8346 '4| 7802/34) 7998/54) 8185/13; 8355 15} 7812/35) 8007\55) 8194/14} 8364 16} 7822/36} 8016)56) 8203/15} 8373 77| 7832137] 8026)57| 8212|16| 8382 18} 7842}38} 8036/58) 82a1j17| 839r° 19) 7852/39} 8045|59] 8230/18} 8399 20|- 7862140] 8055}. |8° 21} 7871/41| 8064] o|g. 8239|20] 8417 22| - 7881142) 8073] 1 23} 7891/43} 8083] 4 24|-- 7901/44! 8092] 3 25| 7911/45] 8101] 41. 8275\24 5 6 26} 7920|46] 8111 27| 79301471 8120! Vou. VI. Ee The fF FrSe ye, The refults of the following obfervatrons, made by Dr. Mafkelyne and Dr. Osfoer, at the obfervatories of Greenwich and Trinity Col- fege, Dublin, will tend to foew the advantages to be derived from this method. At the Obfervatory o | At Greenwich. | Trinity College. | Difference | A.R. bythe |Clock |A. R. by the Clock’s of Longit. clock. d.Rate clock. _|d. Rate,|educed. | 1788 |Procyon | 7H 31' 44", 7414 ol! 5 7 28 43, 02|_ May 131) t Aiwa ¥O 1 Bll Ala 85)/ = Tf ROc26 1570 "7 Antares |16 16 16, 30 161449, 9 pIL 16 20 10, 66; {1619 41, 4 June 16) sory she ia 3s ta ito sun a oy sa & spss 08. 7 bane a rh oh 33 ie 36 fe ie lan 25 10,4 ne sre 19 “ ay Pat: 0, 6 si - rae + 11, 0/25 13, he Jan, 8. (AEHO) 4/68 tesa oe | EEL i 10, elange, a Aldebaran| 4 23 44, 22|_ eb 5 yi L Ae: 48, 82 o, 8 424 38, 9 5 649, 6 — ———— ———— ed Fi Jil 7 12 39,,80 731515, 7 Feb. 7 |Pollux | 7 32 16, 687? 7 733.44. 9|t 6, Procyon | 7 28 7, 60)_ o, 4| 7 3° g\t 14> 5/24 57> 5 yt LI g 18 44, 98 g 21 48, pik 19 38 47, 0O}_ TO039) 7504 cpa 7, ® Aquile |19 44 50, 42 sad 19 43 16, 3 Soe 19 40 4, 92 = 20, Ol2 Fiorina 19 39 0, 29]_ Nov. 26 ii 23 46 40, 48 +o, 3in4 16 20, 4 20, 0/25 3 5 it. S ho aawas. yal. - lvoe WO: 9|_ Dec. 24! aldebaran| 4 2g) 15; (98) =. 2 6] 42215, 8 ee Schinkel ay ©) et ae ee © 59 385 7|_ Dee" *5}aldebaran| 4 23 15, 06(_ °| 4 ar 57. of 17? 85 % E iar 6 27 31, 28|" (62733, 47) Dec. 31 Pollux 4 31 44, 08 oO, 6 7 30 ia 8 18, ona 50, 6 Sn tr For * fee next Page. ee I i it a [sag] * This obfervation of the fecond limb gives the difference of longitude greater than the obfervations of the preceding limb; which is to be attributed to the difference of the telefcopes.—The Greenwich tranfit inftrument gives a lefs diameter of the fun than the tranfit inftrument of the obfervatory of T.C. D. and the effe& of this difference of inftruments is to leffen the longitudes de- duced by the above method from obfervations of the firft limb, and to increafe thofe deduced from the fecond limb. Confequently to ufe this method to moft advantage a mean of refults deduced from obfervations of both limbs ought to be taken. i, i es 3 eg ie 3 f ; Nee : oe : Ley. 7. 7 ‘ ; s ri ; ¥ r P > . , . ~ an 2 s ; mrt, po . oaemrs 2 ‘ ert it }! Lio 5 its st - 5 A} o. [ ; 3 s Papa i i 7 . is oe: bee . = > . - i's ‘ ’ ' t s a e oft ' r " S . olamsl tt. Gat J F ‘ ete. ttc t rev ies wt ? é ) Pye PS gosh th aby ma Ya / f ; 3 ’ HY She o> viii Wet STS Bab SoYs Saiz te ‘oi is i mails POS Hg tg 2. teas Bacirbesiys | y ety ; Is ' ws - ‘ 3 * v ‘ - . i ' ¢ p ’ P 7 a ‘ , . O. . : 1 ot a _ 4 - > 4 r : ‘ > i . ‘ 4 a d ‘ ki - . > . ; ‘ : . A 4 i $ . ‘ [t cage 7 On th METHOD of taking RADICALS out of EQUATIONS. By Mr. D. MOONEY, 4. B. Trinity College, Dublin. Communicated by WUITLEY STOKES, M.D. FiT.C.D. and MRE A. AMONG the rules delivered by the incomparable Sir Iaac Newton for the Reduction of Equations, the following is a prin- cipal one: “ Si cui farde quantitati irreducibili litera involvatur ad cujus « dimenfiones, aquatio ordinanda eft, ceteri omnes termini ad “ contrarias partes, cum fignis mutatis transferendi funt, & utra- “« que pars -eequationis in fe femel multiplicanda, fi radix quadra-- “ tica fit, vel bis fi fit cubica.” Ir the letter be involved in a fingle furd, the operation is eafily performed by fimple involution; but if in two or more furds, of the fame or different dimenfions, or if there be a number of ra-- dical quantities involved in the terms of the equation, the opera-- tion for clearing fuch an equation from radicals, is fomewhat more difficult. In: Read June 18th, 1796.” [) 2iek J ‘In the 97th SeGion of his Analyfis, Doctor Hales fhews the method of taking quadratic furds out of an equation, provided the number of terms be not greater than four, but if there be a fifth term, Whether rational or furd, he is of opinion that the equation cannot, by that method, be cleared from furds. Were this the cafe, sve would have no other alternative, than to recur to the method of Monficur Fermat, by feigning the furds equal to an affumed letter, and thence by means of as many fimple equations, as there are furds, to take thefe letters out of the equation; but this is a work - of fo much labour, that it is fufficient to deter a perfon flightly ac- quainted with algebra. However, by confidering the nature of the furds that arife after involution, it will readily appear that there is no fuch limit, nor any need of recurring to an operation fo labo- rious. Let the equation propofed confift of five quadratic furds, if thefe can be rendered rational, four quadratics and a rational may be reduced at leaft with the fame eafe, VatVb=Vvetvd + Vf, it is plain, that any equation, confifting of five furds, may be reduced to this form, thence after involution will arife the feweft number of /urd reCtangles (Doctor Saunderfon fhews in his algebra that if two quantities be irrational, their produc will be fo too) for if the equation was divided into parts of one and four furds, the refult would have fix furd retangles, and from the former po- fition there will arife but four. Br rset deaeig. 2: [ 223 J] By fquaring the fides of the equation propofed, we will have, at b+aVab=ctdtftevcdt2 Vft+eVdf- Ir all the combinations that can be made out of the trinomial /c+/d+W/f be obferved, which are only three, we will fee, that the fuffixed quantities of every two of thefe admit one common divifor ; place then any two of thefe combinations at the fame fide, and the reft of the terms at the other, and affuming the rational quantities collected =g we have, pt 2Vab—2 Ved=2V of + 2 /df, and by fquaring pit4abt4cd+4pVab—4p Ved—8v abcd=4oft+4 ft 8fvdc. Or thefe furd reGtangles, it’will appear, that two coalefce, i. e. have the fame fuffixed quantity, and the fuffixed quantities of the others admit a common divifor. By placing the rationals collected p? + 4ab + 4dce-4.cf—4 df= q, and the coefficient 8f-4p=7, we have 4p Vab—8 Jabed =r /de—q, and fquaring, | 16p? ab+ 64 abcd—64 pab Vcd= race + 9?—29r /cd: now putting the rationals = fj and the coefficient, 64 pab—2 gr =#, the equation will ftand, /=t Vcd, and fquaring, /? =7?cd, which latter equation is free from furds. It is plain that affuming letters for the rationals, . is only for brevity, and no way affects the furds. Thus it will ap- pear, how an equation, involving five quadratic furds, is rendered : rational, by the fimple rules of involution and tranfpofition. Havine - {. @24..] Havixe thus fhewn, that this method has more latitude than has been generally imagined, I fhall endeavour to evince the truth of it in the cafe of a fexinomial ; thereby demonftrating its uni- verfality, and fhewing how the furds, one by one, vanifh, not- withftanding the enormous appearance of furd rectangles at firft ; for the number of furd re€tangles, arifing from the involution of a multinomial furd quantity to the fquare, is always equal to the fum of the natural numbers between o and the number of the parts connected by the figns + or —,and therefore rapidly en- creafes.— Vide Saunderfon’s Alg. Tom. 2, Section 422, (fub finem ;) & Simpfon’s Alg. Chapter on Combinations. Lert there be propofed the equation, confifting of a rational and five quadratic furds, x + Vat /b-Vc—yV d-v f= 0. Arter tranfpofition, the equation muft either have two parts at one fide, and four at the other, in which cafe, after involution, there will be feven furd re€tangles; or one part at one fide, and five at the other, from whence would arife, after involution, ten furd re€tangles; or finally, three parts at each fide of the equa- tion, from whence, after involution, refult fix furd reQangles, i.e. threé at each fide. Let us take the equation from whence the leaft number of furd rectangles refult ; xtVatVba=VeotvVdtV/f {quated x*+atbt+taxVatox Vbt2vab=cetdtfrrVvcd + 2Vvof+2Vdf Ler ; f ‘ a yess foagt es Ler the rationals collected =, and transferring to the other fide as well the rationals as the fimple quadratic 2 * /b, the equa- tion will be 2 * /a+ 2V/ab= 2 V/cd+2Vcf+ 2V/df—2 « Vb-2. For brevity fake I fhall hereafter affume letters for the rationals of the equations, and transfer each furd as it comes out toa fimi- lar one wherever it is found, annexing the fign according to the fide it is placed at ; fquaring the above equation we have ht+8xavb =i\ 8e/dft+8dVf—-8 nV bced—4¢ Vcd—8 x /bof—8-« /bdf —4gnvb —4gvdf—agvo +8 fi/cd Here then we have an equation free from the furd a and fince the coefficients of the furds-can ‘by no means affect the poffibility of -clearing it, and we are fo ‘far only concerned, I fhall omit them, and. fubftituting & for the rationals —/, the equation will be Vb + Vbed + V bef + Vbaf = Vdf t+ /cof + /cd—k and fquaring. T+ ab Ved + 2b Vef + 2bVdf. =m + of Vcd +2dVfc—2k Vdf + 2bf Vcd + abd of + 2beVdf __—ak Vcd—2k Vf + 20 Vdf, whence neglecting coefficients after uniting the furds ; we ‘have Vcd + /cof = V/df—n. Here we have exterminated the furd /, and by each fucceeding operation we take away one more, always adhering to the rules to'transfer tothe fame fide all thofe furds whofe fuffixed ‘quantities involve the fame letter; from whence alfo it follows that the number of involutions will be plus one than the number of furds. In the-fecond ftep there were eleven-furds with rationals, and in the next tho’ twelve appear; . Vox. VI. Bes they ir - 328] they can be reduced to three and a rational, whence the fim- plification is manifeft: The fame I have tried in a feptinomial, and the refult was agreeable to the former ; though the third involution, produced twenty-nine furd reCtangles befides ra- tionals. The example propofed by Newton, where he mentions M. Fer- mat’s method, will readily prove that the method juft laid down fhews the connection of the parts of the equation much better and is much more brief, the whole being carried on in’ one fingle equation; that example is an equation confifting of a cubic furd, two quadratics and a rational, and which Sir Ifaac has given us without the operation. Doctor Hales in his Analyfis, g8th Section, has given the operation where even the fubfti- tuted letters rife to the cubic dimenfion. I fhall now fybjoin the operation according to the method now propofed : /ay— Va? —ay—2a = Vay? which cubed and collecting fimilar terms becomes —14a3 + 15a?—2ay Vay—13a?—2ay Va?—ay + 1247 /ay—y? = ay? affuming 15a?—ay =p and 13a? + 2ay=4 by tranfpofition we have, p Vay + 1247 Vay—y* = ay? + 1443 +9 Va? —ay and fquaring, 423 2 SiS 24 6 a2 2 prayt+ i4gay — 144ay + 24hay Va? — ay=ay + 196a+ qa—gay a3 28ay + 2gay + 28ag Ja? — ay. whence a ery 5 re [ 227 ] whence tranfpofing and fimplifying we have, a4 ae E290 pet? +9? tay + 144ay — 14209 = 196a ay — ga= + + 2829 Va? —ay aes which latter equation has but one furd, whence for f.9¢.p? and g? fubftituting their values and connecting the terms we have after dividing all by a? 4 aa : ache Sige Sa iis Soe Tae ies —y + Say — 184ay + 486ay — 365a= 74ay — 304ay + 3640 + 49 : 7a? ay which equation fquared and transformed into an original equation gives an equation free from furds the fame as Doétor Hales’s final equation. 8 26 5 4 62 bf s J » + 1008ay — 1464ay _- 2762ay + 3680ay + 2916ay — 972ay + 7294 =o0. By the fame management we may take away the afymmetry of an equation having furds of a more intricate nature. Ler there be propofed the equation confifting of a cubic furd and two biquadratics Vv oe PY sa Ve: Involve both fides to the cube and the equation se then ftand, Jai +3 Vab? +3Va2b +52 = c. of thefe furds we may obferve that the produ of two pairs Fia2 will [. ¢a8 J will give a fimple quadratic, placing at the fame fide thofe pairs the equation will ftand, Va + 3 Vale ae — 3 Va?b —Vb and fquaring this equation ava+bavb+o9bV/a= c+ 9avb +bVb— 6c gibi 260 GF +64 Va Let the terms be colleéted uniting fuch furds as admit it, and fubftituting letters for the coefficients 3a+b=y == 36 —a=3 the equation will now be 6c Vab+ 20 Vb) — ct +yVb—zVa wheace by fquaring abre Vb + 24cb Va+ 4cb Vb=c + 9b + a BRS Vb— 20% Va—2yz Vad. Let 36ca + 4cb — acy 1 c + yb $2e = * a4ch o RS The equation will then by tranfpofition ftand thus, vVvb+tV¥a = x — 22 ba and fquaring vb +ta+ 2ut Vab = x — 4yzx Vba+ ayxba let the rationals =r and the coefficient 2v¢ + 4yzx = s and the equation will be s “ad =r and fquaring stab = r* where ail the terms are rational. NEARLY ‘ Lc 4 . Neary fimilar is the management of three biquadratic furds, by all which it will appear that this method is much fhorter than M. Fermat’s; the principal care to be taken is to keep at the fame fide two furds whofe. produa will give a fimple quadratic, and then uniting the terms that will admit of it pro- ceed as before by involution and tranfpofition. Wuen fractions having furds in their denominators occur, it is expedient to remove the furds out of the denominator by multiplication, this is ufually done by the multiplication of the denominator taken as a binomial or refidual ; if there be four quadratic furds this is, generally fuppofed the limit, and that if a fifth term be added whether rational or not, the denominator cannot be rendered rational, but fince the bi- nomial or refidual here affords the fame convenience as the tranfpofition in equations, a repeated multiplication will clear the denominator of radicality. True it is that after multiplica- tion by a binomial, if the denominator be refolved into parts of one and four furds, there will come out fix furds and in no cafe lefs than four and a rational, however by continuing the operation a little farther the fimplification will appear, m, &c. RL paras Pivat+ Vvb+ Vo4Vvd+ve xX Vat+vb—Vc—Vd—WVe the deno- minator which is the multiplier being refolved into. parts of two and [ 230 ] and three furds, in which cafe fewer furds will come out in the produ after uniting fuch as admit of it, than if the deno- minator were refolved into parts of four and one, by retain- ing at the fame fide of the binomial thofe furds whofe quan- tities under the radical fign have a common divifor, in the next multiplication their produ@ coalefce and may be united, fo that after four multiplications the denominator is freed from radi- cality as will beft appear by example, Vat+vb+vVe4+Vd+vVe xX Vat Vvb—Vve—Vd—Ve fa +Vab+ Vac + Vad+ Vae+ Vbe + Vbd + Vbe —Vcd— Vec—Ved + 6 +Vab—Vac—Vad—Vae—Vbe —Vbd —Vbe —V cd —Vec —Ved —c¢ Loe —€é a+b—c—d—e+2Vab x yp y g ew — 2% Cd—2V ce 2vcd Let all the rationals equal r and the produ@ will be r+2Vab—2V%ce—2V¥cd—2V de r+2Vab—2Vce—2Vcd—2avedxr+2Vab—vVce+avcdt+2Vde r -+arVab— or Vce— ar Vcd — ar Vde—4Vabce — 4 Vabcd — 4 Vabde 4ab 4.2r Vab—orvce+4eVcd+4ceVde—4Vabce +4 V abcd +4V abcde Ace —4dVce+ arVcd—4cev de 4cd —4dvce—4eVcd+ arv de 4de r? + 4ab + 4ce — 40d — 4de + 4r Vab — 47 — 8d V ce — 8 Vabce Ler “Ko [ 23x ] Let all the rationals = g and the coefficient — 4r — 8d = 9 and the produa will now be p+4r Vab—qVce — 8 Vabce by ob- fetving the fame rules and multiplying by p+ 4r Vab+q Vce +8 vVabce the produ& will have but one furd. pt4r Vvab —gVce— 8 Vabce X p+ 4r Vab+qVce+8Vabce will give p* + 167*ab — q*ce — 64abce + 8rp — 169ce Vab now tis plain that by one multiplication more the denominator is free from all radicals. We aera bid oil, of hk poate So arp Sey WP ot 4 ’ 5 . - . . “Tr h ‘A dbipt- abo “hud Svan vieweubergeni yen’ dia natn ee Ne en, OT a couitey ke ere SM Mh CK Ra Gey ten, See Narn So wee eee a wit fe : \ : fj ¢ 2 - » Salad Oe aes \ty Piwel Be ade Vint nmiw itt FOL QT 4 PSR AS-D Se ANS Reg & SVQ BW : ’ . ; 4 ! ‘ at A+ iy sito orodm sO isola beriee wo) Jett ctelcy. ann i¢) Wit id A 5 j i 2s eth = . : i : ae - ‘ ? S ‘y we fh ged On the PRIMITIVE STATE of the GLOBE and its SUBSE- QUENT CATASTROPHE. By RICHARD KIRWAN, Ej; LL.D. F.R.S. and M.R.L. A. IN the inveftigation of paft fats dependent on natural caufes, Reag Noy, certain laws of reafoning fhould inviolably be adhered to. The ats firft is, that no effea fhall be attributed to a caufe whofe known powers are inadequate to its production. The fecond is, that no caufe fhould be adduced whofe exiftence is not proved either by a@ual experience or approved teftimony, Many natural pheno- mena have arifen or do arife in times or places fo diftant, that well conditioned teftimony concerning them cannot without ma- nifeft abfurdity be rejeted. Thus the inhabitants of the Nor- thern parts of Europe, who have never felt earthquakes nor feen volcanos, muft neverthelefs admit, from mere teftimony, that the firlt have been, and that the fecond do adfually exit. Tue third is, that no power fhould be afcribed to an alleged’ caufe but thofe that it is known by actual obfervation to poffefs in appropriated circumftances. Vou. VI. G ¢g To: [ S3an' J To thefe laws I mean ftri@ly to conform in the fubfequent inquiry, and on this conformity to reft its merits. To them I ihall appeal in examining the various fyftems I may have occafi- on to mention. To thofe who may regard this inquiry as fuperfluous, and con- fider the aQtual ftate of the globe as alone intitled to philofophi- cal attention, I fhall beg leave to obferve that its original ftate is fo ftriGly conneéted with that which it at prefent exhibits, that the latter cannot be properly underftood without a retrofpec to the former, as will amply be fhewn in the fequel. Moreover recent experience has fhewn that the obfcurity in which the phi- lofophical knowledge of this ftate has hitherto been involved, ‘thas proved too favourable to the ftru€ture of various fyftems of atheifm or infidelity, as thefe have been in their turn to turbu- lence and immorality, not to endeavour to difpel it by all the lights which modern geological refearches have ftruck out. Thus it will be found that geology naturally ripens, or (to ufe a mine- ralogical expreflion) graduates into religion, as this does into morality. So numerous indeed and fo luminous have been the more modern geological refearches; and fo obvioufly connected with the objet we have now in view, that fince the obfcuration or obliteration of the primitive traditions, ftrange as it may ap- pear, no period has occurred fo favourable to the illuftration of the a a i ee Eee ee OS [i 2362. J the original ftate of the globe as the prefent, though fo far re- moved from it. At no period has its furface been traverfed in fo many different direCtions, or its fhape and extent under its different modifications of earth and water been fo nearly afcer- tained, and the relative denfity of the whole fo accurately deter- mined, its folid conftituent parts fo exaly diftinguifhed, their mutual relation, both as to pofition and compofition, fo clearly traced, or purfued to fuch confiderable depths as within thefe laft twenty-five years. Neither have the teftimonies that relate to it been ever fo critically examined and carefully weighed, nor confequently fo well underftood, as within the latter half of this. century. Tue introdution of teftimony into refearches merely philofo- - . phical has been, Iam well aware, objected to by many, but in the prefent cafe the objeGtion evidently originates in inattention to its obje€t. All philofophical refearches are grounded either on experiment or obfervation fingly or jointly, and the confequences clearly deducible from them. Where recourfe cannot be had to experiment, as in the prefent cafe, there obfervation fingly muft be reforted to, but as objects even of obfervation are not of daily occurrence, and many of them muft have exifted at diftant inter- vals of time and place, recourfe muft be had to its records and confequently to teftimony. Aftronomy furnifhes us with a cafe in point. This isa fcience purely philofophical, yet aftronomers have never hefitated to admit the obfervations of an Hipparchus Gga or [, 236° °] ora Ptolemy. In effect paft geological fa&s being of an hiftorical nature, all attempts to deduce a complete knowledge of them merely from their ftill fubfifting confequences, to the exclufion of unexceptionable teftimony, muft be deemed as abfurd as that of deducing the hiftory of ancient Rome folely from the medals or other monuments of antiquity it ftill exhibits, or the fcattered ruins of its empire, to the exclufion of a Livy, a Salluft or a Tacitus. ‘That great changes have taken place on the furface of the globe fince the commencement of its exiftence, changes that for fome thoufand years have not been repeated, is allowed on all hands. What then fhould render thefe facts and the cireum- ftances attending them unfufceptible of teftimony? not furely their improbability or difcrepance with a€tual obfervation, fince their reality is confeffed by all; with refpect to fome of them I can think of no reafon but one, and that indeed at the firft blufh fufficiently plaufible, namely that their exiftence preceded that of the human fpecies; this certainly proves that the knowledge of the hiftorian that relates them (fuppofing him to have any) was not as to fuch faéts obtained by human means, But if in a fe- ries of facts difcovered by an inveftigation to which the witnefs was an utter ftranger, an exact agreement with the relation of the hiftorian be difcerned, not barely as to the fubftance of the fa@s but even as to the order and fucceffion of their ex- iftence, in fuch cafe it muft be acknowledged that the rela- tion is true, let the knowledge of the hiftorian have been ob- tained Pe a [ser 4 tained how it may. If its primary fource cannot be human it muft have been fupernatural, and moft affuredly worthy of credit eyen in fuch inftances as have not as yet been corroborated by obfervation, or perhaps aré incapable of fuch additional proof. Now fuch an account of the primeval ftate of the globe and of the principal cataftrophes it anciently underwent, I am bold to ~ fay Mofes prefents to us, and I make no doubt of demonftrating in the following Effays. LOG A NERS ieee ae ~ ee Wem ON THE PRIM#VAL STATE OF THE GLOBE. Tue firft remarkable fact that prefents itfelf to our notice on confidering the primitive ftate of the globe is, that its fuperficial parts, at leaft to a certain depth, muft have originally been in a foft or liquid ftate. This fa@ is inferred from the fhape it at pre- fent exhibits, which, as aftronomers tell us, is that of a {phceroid compreffed at the poles, the polar diameter being found feveral miles fhorter than the equatorial; nor is it at the poles only that this compreffion is obfervable, but in all the higher degrees of latitude, nearly in proportion to their proximity to the poles. This fhape it evidently could not affume unlefs to a certain depth its fuperficial parts were in a foft or liquid ftate. Some geological obfervations alfo indicate that its component parts, even thofe [ 238 ] thofe that are at prefent the moft folid, were originally in a foft ftate. Thus in the mountains of Quedlice and Portficellet in Nor- way, which confift of an argillaceous pudding ftone, the filiceous pebbles it contains are obferved to be compreffed to the thick- nefs of about 4 of an inch in the lower parts of the mountains, but to increafe in fize and roundnefs in proportion as their fitu- ation is higher.—1. Bergm. Erde Befch. 182. and in the Yrvarors the loweft ftrata of primitive limeftone have been found of the thicknefs of only +5 of an inch, but in proportion to their heighth in the mountain their thicknefs increafes, until at its fummit it arrives to thirty or forty feet. 1. Soulavie, 178. Mr. Ferner made the fame obfervation in England*, but it is needlefs to infift further on this point, as it is now generally allowed. Wir refpeat to the interior and more central parts, they having been hitherto inacceflible, nothing can be determined from immediate obfervation, but we may colle@ with fufficient certainty, and it is now generally acknowledged, that at the time of the creation and for many centuries after they contained immenfe empty caverns, and confequently confifted of materials fufficiently folid to refift the preffure of the enormous mafs of liquid fubftance placed over them. Tue liquidity thus proved to exift in the more fuperficial parts of the globe, comprehending even thofe that are now moft folid, muft ® 1 Roz. Syo. p. 64. and Gruber in Carniola. Phy. Arbeit. 2d Stuck. 3. [ 2g9" 4] muft have proceeded either from igneous fufion or folution in water. The hypothefis of igneous fufion wars with every notion which experiment has taught us to form either of fire or its fuel, or the properties and appearances of the various fubftances fup- pofed to be fubjected to it, as I have fhewn at large in a foriner differtation contained in the TranfaCtions of this Academy; the latter perfectly accords, and much more perfeQly than I was then aware of, with all the properties and chara@ters that all the folids now known exhibit, thofe confeffedly of volcanic origin folely excepted. Tue difficult folubility in water of moft of the folids which the globe at prefent exhibits, and the immenfe quantity of that fluid requifite to effe@ their folution, forms the only difficulty that has hitherto embarraffed geologifts, though it has prevented fcarce any of them from admitting that folution. Moft of them have fuppofed that at that early period fome menftruum exifted capable of effefing it. This difficulty however proceeds folely from inattention to the firft demonftrated fat, namely, that the globe at its origin, at leaft to.a certain depth, was a liquid mafs ; therefore the folids that at prefent compofe it were not originally in a folid ftate, whofe converfion into a ftate of liquidity would certainly require more water than is known to exift, but were at the very commencement of their exiftence in that ftate of mi- mute divifion which aqueous folution requires, but which no known exifting quantity of that fluid would be able to effect. Now [ 240 ] Now it is a well known chymical fa@ that lefs of any menftroum is requifite to keep a folid fubftance in folution, at leaft for 4 fhort time, than originally to diffolve it. Yer if the quantity of aqueous fluid requifite even to keep the mafs of folids in folution were too {mall, as poffibly it may have been, this would only haften the /econd general fa@ to which I now proceed, namely, the cryftallization, precipitation and de- pofition of thefe folids. But before I enter on this event it will be neceflary to confider more particularly the flate of this orit ginal chaotic fluid. THe water which conftituted this menftruum being in a liquid ftate muft have been heated at leaft to thirty-three degrees, and poffibly much higher. Secondly, it contained the eight generic earths, all the metallic and femi-metallic fubftances now known, the various fimple faline fubftances, and the whole tribe of inflam. mables, folid and liquid, which are of a fimple nature, varioufly diftributed, forming upon the whole a more complex menftruum than any that has fince exifted, and confequently endued with Properties very different from any with which we have been fince acquainted. Hence elementary fire or the principle of heat muft have been coeval with the creation of matter, and the general properties of gravitation and eleGtive attraGion may be fuppofed of equal date. Tue [age] Tue proportion of the different materials contained in the chaotic fluid to each other may be fuppofed upon the whole nearly the fame as that which they at prefent bear to each other, the filiceous earth being by far the moft copious, next to that the ferruginous, then the argillaceous and calcareous, laftly the magnefian, barytic, Scottifh and Iargonic, in the order in which they are named, the metallic fubftances (except iron) moft fpar- ingly ; in particular parts however of this polygenous fluid a very different proportion muft have obtained (as in fome parts of the globe) fome fpecies of earth or metal, &c. have evermore been found more copious than in others. Some geologifts, as Buffon, and of late Dofor Hutton, have excluded calcareous earth from the number of the primeval, afferting the maffes of it we at |pre- fent behold to proceed from fhell fifhy But in addition to the unfounded fuppofition, that fhell fifh ‘or any animals poffefs the power of producing any fimple earth, thefe philofophers fhould have confidered that before the exiftence of any fith the ftony maffes that inclofe the bafon of the fea muft have exifted, and among thefe there is none in which calcareous earth is not found. 3 _ Of this circumftance indeed Buffon was ignorant, the analyfes that prove it being unknown to him. Doctor Hutton endeavours to evade this argument by fuppofing the world we now inhabit to have arifen from the ruins and fragments of an anterior, and that of another ftill prior, without pointing at any original. If ‘we are thus to proceed 7 infinitum I fhall not pretend to follow him, but if he ftops anywhere, unlefs he alfo fuppofes his primi- Vou. VI. Hh tive [r 242, J tive globe abfolutely different from that which we inhabit, (and with fuch I do not meddle) he will find the fame argument equally to occur. In a fluid conftituted as that juft mentioned, it is evident, from the laws of eledtive attra@tion, that the various folids diffufed through it muft foon have coalefced in various proportions accord- ing to the laws of this attraction and the prefence or proximity of the ingredients, and thus have cryftallized into different groups, which defcended to and were depofited on the inferior folid kernel of the globe. In thofe traéts in which the filiceous, and next to it the argillaceous earth moft abounded, (and fuch tracts appear to have been by far the moft extenfive) granite and gneifs, appear to have been firft formed, and their formation may thus be explained : Both thefe rocks confift of quartz, felfpar and mica, in a variable proportion, but the quartz and felfpar are generally the moft copious. Thefe ftones are them- felves compofed of filiceous and argillaceous particles, and par- ticularly the firft, principally of filiceous, the two latter admit- ting alfo the argillaceous and a fmall proportion of the calca- reous; the magnefian and in fome inftances of the barytic. Now of thefe earths, ¢hat fhould coalefce firft, which with an equally fmall affinity to water was at the fame time moft plentifully con- tained in it, its particles being more within the reach of each other’s attraction. Hence we may conclude that the quartz firft cryftallized, {carce ever indeed perfealy, from the difturbance that muft [ 249 J muft have occurred in fuch an immenfe body of an heterogeneous fluid, nor perfely pure by reafon of its affinity to argil and calx. ‘Next to this felfpar, containing a fmaller proportion of filex and a larger of the other earths, proportions which, from their eafy fufibility, alfo appear to exhibit the maximum of attraCtion of thefe earths to each other when filex and argill prevail, muft have cryftallized next, and laftly the mica, a flone in which the pro- portion of filex to argil is ftill fmaller. The portion of water difengaged from thefe earths gradually afcended and made room for new fhoots, which attaining the foregoing before they were _ perfeétly hardened adhered to them clofely, and thus at laft vaft uniform blocks were formed ; where the fhoots had not attained a certain degree of hardnefs, or the fofter ingredient, viz. the mica abounded, the gneifs was formed; and where the proportions re-- quifite to form felfpar were deficient, the other granitic ingredi- ents being prefent, fhiftofe mica was formed. Hence we may. underftand how it has. happened that gneifs fhould fometimes be found in granite*; and fometimes maffes of granite in the midft of gneifs, and why in, mountains, granite, gneifs and fhiftofe mica, frequently alternate. with,each other,. Charpent. 390. As the fluid from which thefe cryftallized granitic maffes. fub- fided was of the, moft, heterogeneous kind it is not to be won- dered at that various metallic fubftances, and particularly iron, and even fome traces of carbon and plumbago, fhould fometimes eccur in them. 2 Saufs, 451. 2 Bergm. Jour. 1790. 532. Hh 2 Iv. * Wemer kurze Claflif. 9, 10.- [ 244 ] In other tracts where the fame earths occurred, but not in the proportions fitted to produce granitic ingredients, other maffes of the filiceous genus, as filiceous fhiftus, filiceous porphyries, jafpers, &c. were formed by a lefs perfect and confufed cryftallization. In various places argillites, hornblende flates, ferpentines and other primeval ftones of various denominations muft have arifen according to the predominant proportion of their ingredients by a more or lefs perfect or partial cryftallization. Merauttc fubftances (all of which I fuppofe to have originally exifted in their complete metallic ftate) and particularly iron, of all others the moft copious, muft in fundry inftances have met and combined with fulphur, the fubftance to which all and particu- larly iron has the greateft affinity, and thus pyritous fubftances and fulphurated ores originated. Petrol, fpecifically lighter in- deed than water, but involved in the chaotic fluid, meeting fulphur to which it has an affinity, with it formed a liquid fpecifically heavier, which gradually involved and was abforbed by carbonic particles which were thus colleéted and precipitated. Ir is a fact at prefent well eftablifhed, that in the a@ of cryf- tallization a very confiderable degree of heat is generated. Judg- ing then by analogy, how great then muft have been the heat produced by the cryftallization of fuch immenfe quantities of ftony maffes as took place at this period, the immediate effec of [L 2458] of which muft have been an enormous and univerfal evaporation, {weeping over the furface of the heated fluid according to the inequality of its diffufion and the caufes that produced it in va- rious tracts. Tue heat thus produced muft have been ftill farther increafed in confequence of an event which naturally refulted from the degree at firft excited. For in confequence of the evaporation the quantity of the chaotic fluid (the univerfal menftruum), as alfo its fpecific gravity, were diminifhed, and thus the fubftances con- ‘tained in it (of which it was not the moft natural folvent) were ftill more difpofed to precipitation, as ufually happens in fuch cafes ; thus then the ferruginous particles naturally not foluble while in this metallic ftate in any fluid, and of which immenfe quantities exifted, were rapidly and copioufly precipitated ; the aqueous particles intercepted between them muft in that cafe have been decompofed, and an immenfe quantity of inflamma- ble air fet loofe, the heat thus produced increafing with the mafies operated upon, muft have rifen at laft to incandefcence ; in that circumflance the oxygen abforbed muft have been in great meafure expelled, and in its nafcent ftate meeting and uniting with the inflammable air muft have burft into flame. The pro- grefs of fuch high degrees of heat muft have difengaged all the oxygen contained in the contiguous chaotic fluid, which uniting partly with more metallic iron, partly with the fulphurated and partly with the carbonic and bituminous fubftances muft have occafioned [ 246 ] occafioned a ftupendous conflagration, the effe&s of which may well be fuppofed to have extended even to the folid bafis on. which the chaotic fluid repofed, and to have rent and fplit it to an unknown extent. Tear flame fhould thus burft from the bofom of the deep is not a forced fuppofition, but has frequently been verified in latter times. I thall only mention one inftance which happened in the beginning of this century, when flames burft out of the fea near Tercera, and an ifland was elevated*. Turse volcanic eruptions, many of which feem to have taken place at this period, chiefly in the fouthern hemifphere, were attended with important confequences ; the firft muft have been the diffufion of a confiderable heat through the whole mafs, of the chaotic fluid, by which means the oxygen and mephitic airs, difperfed through it muft have been extricated, and thus gradually formed the atmofphere. — Tue fecond was the production of fixed air from the union of oxygen with the ignited carbon; this at firft rofe into and’ dif- fufed itfelf through the atmofphere, but in proportion as the cha- otic fluid cooled it was gradually abforbed by it. This abforb- tion occafioned the precipitation, and more or lefs regular cryf tallization * 6 Phil. Tranf. Abridg. 2d Part, 203. [ tae. f] tallization of the calcareous earth, the greater part of which being much moré foluble than the other earths, ftill remained in fo- lution after the others had for the moft part been depofited. This explains why many of thefe primitive calcareous maffes are of all others the freeft from foreign admixture. In fome few inftances however it muft have happened that the calcareous parti- cles intermixed with other earths were faturated before the reunion and depofition of the other earths, and hence in fome countries ftrata of primitive calcareous maffes occur in the midft of gneifs, or alternating with it; but thefe inftances are very rare. Tuat the formation of fixed air was an event fubfequent to the formation of moft of the primeval ftones, appears from the obfer- vation, that the calcareous earth found in the compofition of pri- meeval ftones is in a cauftic ftate. 44 Roz. 206. Tue immenfe maffes concreted and depofited on the interior nucleus of the earth formed the primitive mountains. It may perliaps be thought that this depofition fhould be equally diffufed and fhould conftitute only an even cruft over this interior nucleus, but fuch a difpofition is contrary to the nature of cryftallization, between whofe fhoots an interval always intercedes, if not too fudden. The water firft difcharged of its diffolved contents, and thereby heated, moved upwards, being prefled by the circumam- bient denfer fluid, which was too heterogenous to mix with, and be diluted by it. The depofit already formed affording to the _fucceeding portions of the charged fluid a bafis whofe points of contact [ 248 ] contact were fo much the more numerous as its height was greater, thereby determined thefe portions to a fimilar depofition, until the diminifhed denfity or exhauftion of the menftruum dimi- nifhed or put an end to the number and extent of the points of contact of the depofited maffes with the folids contained in the menftruum. In fome cafes alfo, particularly after the chaotic fluid was heated by the caufes already mentioned, and a confider- able evaporation had enfued, the cryftallization might have begun at the furface, as we fee happen to fome falts and to lime-water. Thus extenfive ftrata might have been fucceffively depofited, moftly in an horizontal, but often from accidental ruptures during their fall, in an oblique or nearly vertical pofition. Thus far we are led by general analogies, without the affiftance of romantic or gratuitous hypothefes, and the view of the fubje@ thus obtained is fufficient for the explanation of moft of the obfervations hi- therto made on the ftruCture of primitive mountains. Tue formation of p/azns is eafily underftood, in the wide inter- vals of diftant mountains, after the firft cryftallized maffes had been depofited, the folid particles ftill contained in the chaotic fluid, but too diftant from each others fphere of attra€tion to con- crete into cryftals, and particularly thofe that are known to be leaft difpofed to cryftallize, and alfo to have leaft affinity to water, were gradually and uniformly depofited. Of this nature argilla- ceous particles are known to be, intermixed as may well be ex- pected with a large proportion of filiceous and ferruginous parti- cles so Pe eee re er Ne ee ee [ 249 ] cles of all others the moft abundant, and fome particles of the other earths; by thefe compound and flightly concreted earths the furface of plains were originally covered. In procefs of time thefe earths undoubtedly received an abundant increafe from the decompofition of primitive mountains, but this being an event of a pofterior date need here be only curforily mentioned. Tue next important event neceffary to fit the globe for the reception of land animals was the diminution and recefs of the chaotic fluid in whofe bofom the mountains were formed, and , the confequent difclofure of the dry land. This event was the natural confequence of the operation of the preceding volca- nos, by thefe the bed of the ocean was fcooped, moft proba- bly as we fhall hereafter fee, in the Southern hemifphere. But no change or tranfpofition of the folid materials depofited from the chaotic fluid could lower its level, unlefs the inferior nucleus of the globe could receive it within its hollow and empty caverns; this admittance it gained through the numerous rifts occafioned by the antecedent fires; at firft rapidly, but afterwards more flowly, in proportion as the perpendicular height of the fluid was diminifhed, and thus the emerged continent confifting of moun-- tains and plains was gradually laid bare and dried, and by drying,. confolidated. _ Tue difclofure of the a€tual continents, as I have juft hinted). appears to have been gradual. The traéts at firft uncovered were Vou. VI. Ti thofe [ 25° 3] thofe whofe height over the prefent feas amounts to 8500 or go00 feet, or more. This height comprehends moft of the Eaftern heights of Siberia, between latitude 49° and 55°, and of the ex- tenfive regions of Great Tartary, Thibet, the defert of Coby or Chamo, and China, reaching in fome places to latitude 352, and extending in the Northern parts from the fources. of the Irtifh, long. 95°, and in the more Southern from the heads of the Ganges and Bourampooter, long. 80°, Hohanho and Porentfho to long. tg0° at the leaft, and perhaps ftill farther into the un- known parts of Eaftern America. In Europe only the fummits of the Alps, Pyrenees, and of a few other mountains were uncovered, but in America the nar- row but long chain of the Cordeliers muft have raifed its fummits far above the ocean; this fact is a neceflary inference from that which I am next to mention. Tue level of the antient ocean being lowered to the height of 8500 or gooo feet, then and not before, it began to be peopled with j/k. I fhall therefore from its fimilitude to our prefent Jeas henceforward denote it by this denomination, to diftinguith it from the chaotic fluid, whofe compofition was fo different and contained no fifth. Tuat the creation of fifh was an event fubfequent to the emerfion of the tras juft mentioned and to the reduction of the bo 2522] the waters to the height I have ftated, is proved by the ob- fervations of all thofe who have vifited thofe countries. Pallas informs us that the immenfe defert of Cobea or Chamo forms a flat platform whofe elevation can be compared only to that of Quito in Peru (which Bouguer has fhewn to amount to upwards of gooo feet) and that the plas of the Monguls all _ along to the Chinefe wall are nearly of the fame height *. Mayor RENNEL, in his account of the map of India, tells us that the country of Thibet is one of the higheft in Afia, being part of that elevated traét which gives rife not only to the rivers of India and China, but to thofe of Siberia and Tartary. The Southern ridge of the mountains of Boutan (Thibet) rifes, he fays, about a mile and a half above the plains of Bengal, and may be feen in a horizontal diftance of one hundred and fifty miles, p. 93 and 94, which indicates a height of fifteen thoufand feet, or allowing for refra€tion according to Dr. Mafke- lyne’s rule, eleven thoufand nine hundred and eighty-one feet. Accorpinc to Abbé Man’s calculations, of all others the moft accurate and the moft moderate, the height of the Ganges and Hohanho, even at one thoufand miles diftance from the fea, muft be three thoufand fix hundred and thirty feet. But Ma- jor Rennel has fhewn in the Philofophical Tranfaétions, 1781, lia Pp. 9o, * » A@. Petrop. 1777, p: 38. [ 252 ] p- 90, that the head of the Ganges is two thoufand miles diftant from the fea, therefore the country it flows from is elevated at leaft eight thoufand eight hundred or nine thoufand feet. Now in thefe elevated traéts no marine fhells or petrifactions are found in the body of any mountain, nor in any ftone not even in limeftone though it abound particularly about the fources of the Amour, Herm. 1 Chy. An. 1791, p. 155. But all the calcareous maffes that occur are either what are called /a/ine like Carrara marble, or fo fine grained foliated as to appear nearly compact, but of the primitive kind. This abfence of marine fhells and petrifactions from fuch extenfive regions has attraGted the particular notice of all travellers into thefe parts as they are fo abundantly found in all lower tracts of the globe, Gmelin, 45. Phil. Tranf. 254. Pallas, 1 Act. Petrop. 44. Pa- trin, 38 Roz. 227. And though falt fprings and lakes are found in the higheft plains, Pallas, ibid. 38, and even coal mines in the mountains, yet no organic remains accompany thefe mines as they do in the lower traéts of the globe, Patrin, 38 Roz. 226. Pallas indeed remarks fome few petrifactions have been found in the rifts even of granitic mounts, but thefe he rightly judges were depofited there at the time of the deluge; ibid. 44. "Hence I think it follows evidently that thefe traéts were indeed formed in the bofom of the primitive ocean, like all others, but — eee a ee si a a ins oat a eee E : eagca4 but that they were uncovered before the creation of fith, and fince they contain limeftone, that this ftone does not neceffarily and univerfally originate from comminuted fhells, as Buffon and others have advanced. Tuar fifth did not exift until the level of the ocean was de- _preffed to eight thoufand five hundred feet may alfo be in- ferred with equal evidence from this obfervation, that tho’ fe- veral lofty mountains at prefent exift which far exceed that height, yet no petrifactions or fhells are incorporated in the rocks or ftrata that form them. This De la Peyroufe attefts with refpea to the Pyrenees, which yet are moftly calcareous. Trazte des Mines de fer, 336. Nor are any found in Santo Velino, the higheft of the Appennines, its height being eight thoufand three hundred feet, whereas they abound in thofe that are lower. In the Sa- voyan Alps Salenche, Saleve Mole, the Dole, all of which are cal- careous, but below the height of feven thoufand feet, contain petrifations, but the Buet, which is alfo calcareous for the greater part, but whofe height exceeds ten thoufand feet, con- tains none. Sauffure paffim. Anp reciprocally of the mountains that covtazm petrifactions imbodied in their mafs none reaches to the height of eight thou- fand fix hundred feet. With refpect to the Hartz, Lafius remarks that no petrifactions are found in the mountains whofe height exceeds two thoufand three hundred and ten feet, Lage feet, Lafius, 148; and Renovants, p. 76, afferts that none of thofe of Siberia on each fide of the Altai exceed two thoufand Paris feet. Nay Pallas does not allow to calcareous mountains that contain petrifactions (which on this account he judges to be formed in the fea) above thirteen or fourteen hundred feet, 1 AQ. Petrop. 59, but a view of the mountains of Switzer- land fhews that many of them are much higher. Tae neareft approach I have met with, to the limits I have affigned to the height of the antient ocean when it began to be peopled with fifth, is an obfervation of Mr. De Luc’s, that he found cornua ammonis petrified on mount Grenier, whofe height is feven thoufand eight hundred feet, 2d Lettres a la Reine, 227; and another of Baron Zoits on the mountain of Terglore in Carniola, that petrifa€tions were found in limeftone at the height of between thirteen and fourteen hundred German lachters, taking fuch to be equal to thofe of the Hartz, the height was eight thoufand five hundred Englifh feet nearly, and hence I have extended the limits to eight thoufand five hundred feet, yet it does not appear by Mr. De Luc’s relation that thefe petrifa€tions were imbodied in the ftone or rock which con- ftitutes the mountain, and therefore may well be only relics of the deluge. He alfo fays that the chain of Jura abounds in marine remains, but Jura confifts of two chains, the higheft of which confifts of primeval limeftone in which no petri- factions are found, and this is the higheft, 30 Roz. 275, but the lower [ 255 ] lower. chain certainly abounds in them. Fichtel alfo remarks that ftill higher on the mountains of Terglore no petrifaCtions are found imbodied, Mineral Aufsatz, p. 4. Arter this elevated tra& of the globe had been uncovered, there is no reafon to fuppofe that it long remained divefted of vegetables or unpeopled by animals, being in every refped fitted to receive them. The fevere degree of cold which at prefent diftreffes thefe countries during the winter months is folely owing to their diftance from and elevation over the a@tual feas (as 1 have elfewhere fhewn), circumftances that did not exift at this period. Tuar the retreat of the fea from the lower parts of our pre- fent continents was gradual and not fully effeGted until after the lapfe of feveral centuries many reafons induce us to be- lieve. 1°. Both fides of the Altaifchan platform exhibit fe- condary mountains (fo I call all thofe which contain marine fhells or other remains of animal or vegetable fubftances between their ftrata, or incorporated in the rocks or ftones of which they con- fift) both of the calcareous and argillitic kind, in which marine fhells abound, Renoy. 75, thefe therefore muft have been formed before the fea had receded far from thefe parts, and muft have been the work of many years. 240, Not only in every region of Europe but alfo of both the old and new continents, whofe fituation is inferior to that above- mentioned, [ with maty teftimonies of K = BD 1 % Sei al pe a ee ee Baise ce eee 2 : % Je JO [eI F,|y]AF erat] yor a “faba X ay2 Ur [P20 1, 66 | O€1z¥6'1z |j0 01 uo ‘Poz| tkoros 96S 6x 19$ of | away aya Jo weary 1| ‘ “MOU} [IJ TAGS eee s 5 | Ne aes Bigot 3, 4 TS) 2 glaSi-E jyarya jo $ oz 10°0£ “AAG Wz we *M wor} off - raquuaaacq! By —s <2 eee elas Seg a aaa aes i. “MN 8 °MS = “AEN "Nt yes: § Aq Aa? cbubled $1 LSo-o§ “ata hoe Sh6z lyre ginine 09'0§ = Joqwoaon & =|} Prolog £11:0€ SAND yz 62 | * fapte} of of = agoVo f =a al = See oe eis ; ; 3 eos lf SWINE SEO TEAN A | BOOT TORS Ezrof |-goy pyle} zS:6z jot 2 ya6z! Le-of - aaquiaydag —-—_. a | RES ETN SE a kal 2 a ae pepe et (se %, Pa eat —|\< Logsée— 6rof | mM yt 98 |: fy S1| zg-08 | - - yndny — |.” AN = Sark “A ms “mse zoSLEgrz Sz £16°6z | wemg us | hy-Ge | G suena 1] gb of - - Arf . es = elle eek? Eee eee (ony “Nt Aq “mM pur , os ANS Sage o "AS "SAMS “EAL E || oLSL6b-1 oz Leyrot ee yyil LL-6z “yy two] 65-08 - ounf YY _ =| | Or —s . oS | ! ies “Mm Aq g}t || PLoS tty 60662 | wwe Hol Less |-cN aE plz] zv-0F - Key Ly |——— aes Sse SBS ee 5 a ~ |) Ek¢forry z 1ZOEf |'g “qo ol} bz-6z jyr9z wSz sg} cSoS {> - = ud Ra pe ee et — || : _ cee “3 e : Ae Tees Ne ews “ee - PAANDS NOP | aN — {| Fooézg— jyfay € paw sri Qizof | ‘gue yIol} th-6e ty yre2goe| OL-0f - = youRyy . B “Se | smouy 1135 “MS 5 . MS "M ‘AAN| 1 }] €2b£or'1 MpIyM jo-z “Li 996'6z | pue yy us| 26gz | 2 sm yagz] 99:08 | - = Arensgay ae S| agp | MN *"M'S ‘Ais}6 1LEgLL: 7 4} (£85°6e \'gomrg eptzol-gz NA Le} m 19}, aE of as = Avenue P i | | Se. ‘yuoyyaya) saysiyy | -Aeq@ayy||tpuopyama} — tpauad - cia é Jo UuOpY jae qsmorT us YousiPy|| Jo wvayy |-dey ae heq yoney de a feq vie Use —_—_—_—_—_— + ied SS Sa ict ere tad oat oe ee ee 243908 21 30.01 44 30.015 : 42:5 1796. — = fiascaty - - 2.7783 18 29.58 48 February - - 1.1034 17 29.96 d 41.7 March - - 0.8276 IL 30.21 4-7 9-8507 84 29.91 6; 43:8 Tuere the rain was not even half of that which fell in the Winter of 1795, and yet the Summer was alfo variable wet. ea tal SUPPLEMENT ¢t# Mr. EDGEWORTH’s ESSAY upon the TELEGRAPH. Since the Royal Irifh Academy did me the honour to: — 35> accept of my eflay on the telegraph, I have made material im- Gin provements in its conftruction, which I think it my duty to: communicate. In September 1796, the Lord Lieutenant ordered me to pre- pare telegraphs for an ‘experiment before his Excellency. In confequence I conftruéted four new telegraphs—I had found that the large machines thirty feet high, with which my fons talked in September 1794 acrofs the channel, between Ireland and Scotland, were liable to accidents in ftormy weather: my firft confideration therefore was to contrive fome means of fur- ling their canvas when they were not in ufe; and from the rigging of fhips it was obvious that cordage was for this pur- pofe preferable to inflexible braces of wood. I therefore adopted the following conftruction : evar. VL Rr . A. (fig. 4.) [ 34 ] A. (fig. 4.) A hollow axle-tree, made in feparate pieces, hooped together in the form of a double truncated cone, on the midide of which is faftened a wheel of wood (b. fig. 4.) with eight not- ches cut out (a. fig. 4.) to receive eight ribs (rrr. rr. t. tt fig. 1.and 2.) Thefe ribs turning on a ftrong iron ring, fhut up like the ribs of an umbrella, and are ratfed and adjufted by cords paffing through eight holes in the flanches or fhoulders (F. fig. 1. 4.) Thefe flanches, and thofe at (f. fig. 2. and 4.) ferve to keep the machine in its place upon the ftands which fupport it (fig. 2.) the cords are ftrained and faftened like the cords of a tent {c, ¢. Ge.) fig. 2) Were permanent buildings are not required, fupports -for thefe machines may be coniftructed in the following manner: Two ftands, each of them made of two pieces of wood fimply bolted together as (fig. 3.) muft be erected, and held fteady by means of cords (c. c.) faftened to common tent pegs as in (fig. 2. P. P,P.) When the machines are large, {mall piles fhould be ufed inftead of pegs, and running tackle (t.) fhould be ufed both for the cords of the pointers and the ftands. A number of minute circumftances fhould be attended to in the conftruction and ufe of thefe machines; but I do not think it proper to de- tail them to this Academy; they fhould appear in a different lace: (a). Z @) BESIDES (a) Formerly in France every engineer, who conduéted any public work, was obliged to lodge in a public office exact drawings with minute defcriptions of every part of and’ procefs of his operations. Numberlefs fmall improvements in work- manthip i ali en ee ee E. 335°] Brstpes rendering the telegraph fafe againft ftorms, and more eafily manageable, I found by experience that one machine could be made to perform the fame effect as four, with but little lofs of time ; what took up four minutes with four pointers can be conveyed in five minutes by one. I have alfo found, that by anfwering each fignal or number fhewn at every ftation, all poffi- bility of miftake is avoided. I Bevteve that in other eftablifhments of this fort it has | been found that thick and foggy weather has occafioned more interruptions than were expected. With my telegraphs I have good reafon to affert that there do not commonly occur above eight or ten days in the year when intelligence might not be conveyed by land. Ir eight men were pofted at each permanent ftation, at the diftance of eighteen or twenty Englifh miles afunder, with ma- chines of twenty-five feet high, in hazy weather, they might detach two men with portable telegraphs to the diftance of about fix miles from each ftation, who with eight foot telegraphs could keep up a regular communication. Rrz2 THE manfhip and tools were preferved by thefe means, and by jdegrees were collected! into publications of general circulation. I was required to deliver drawings of all the machinery I employed in the work earried on at Lyons in 1772 for turning the courfe of the Rhone. But in the tranfaCtions of a literary fociety fuch details would be tedious andi improper. [316 ] Tue portable telegraph refembles that which I have defcribed ‘It differs only in two cireumftances ; for convenience, as it is {mall and does not oppofe much furface to the wind, it may be dif- tended with ribs of wood inftead of cords. Tue portable telegraph which my fon had the honour of fhew- ing to His Royal Highnefs the Duke of York in. Kenfington Gardens in O@tober laft, was furnifhed with filken cords, on purpofe to fhew how my larger telegraphs were conftructed ; but it was intended merely for reconnoitring near an army, and was only fix feet high. In the efflay which the Academy has already received I faid that imitations without end might be made of my telegraph. Every index or pointer that moves circularly, dividing an imagi- nary circle into parts and denoting figures or figns that corref- pond with a vocabulary, is founded on the fame principle as mine. The French have laid afide their former clumfy apparatus, and have conftructed a telegraph on thefe principles; and the admi- ralty in England have as I am informed very lately done the fame. Tue firft pointers I employed in 1767 were wind-mill fails. I then tried indexes of the fhape (fig. 5.) Fig. 8. A pointer like a fword-cutler’s fign was recommended to me by a member of the Academy, as a fecond or additional hand to move on the fame [ guy ii fame center as the principal hand. But a triangle, whofe bafe is equal to half its fide, is of all the figures I have tried the moft difting. THE night-telegraph remains ftill to be defcribed; its ufes are perhaps more extenfive than thofe of the telegraphs I have already publifhed ; and I propofe to make it the fubje@ of ano- ther paper upon a future occafion. Tue art of conveying fwift and fecret intelligence is not one of thofe inventions which attracts attention only by its novelty; on the contrary I am convinced that it will be thought more va- luable the longer it has been fubmitted to the teft of time and experience. - * Ai. cf tnt, 3) ae * ia be A a> . - i “ E re F a oa > ~ ~ ~ = » . ¥ é . owe “4 des eRe oer wis» bs wie o Makita Boy) yar ae i » ot ae ‘ se Mn eee ry 7 { fee 3 4 as 3 °% ‘ f si 4 , ; ‘Teer : A OR ey ‘ ty ; . 2 Y ¥ ¢ ~ — »~ z Pe ee: wbegti yg Ob a 9 ry . on . 7 a ae Le - sas. K e > A 4 r a i - On. 4 Ett ‘ z i re). be ra af Pv bs * ' 4 J rt 2 ei A: ‘ a Se : . 4 Poy bah f : { ’ & id ¥ e - , > , $7 - 2 a aw - ra F: - - ‘i ‘ . / ‘ 3 yr . 2 e S 7 A . ‘ “ : x ‘ ‘ , fer are A DESCRIPTION of an AIR-PUMP of a NEW CONSTRUCTION, with an ACCOUNT Of us PERFORMANCE, and of fme EXPERIMENTS and OBSERVATIONS ¢ending to afcertain the CIRCUM- STANCES on which the PERFECTION Of that MACHINE @efends, and to render its THEORY more compleat. By the Rev. JAMES LITTLE of Lacken in the County of Mayo. Tue many difcoveries which have done honour to the exer- Read Dec. tions of the ele@ricians and chemifts, even fince the middle of 17" 179% this century, encourage us to hope that their labours will not _ terminate "till they become the means of affording to pofterity a more extenfive knowledge of the latent principles and powers of nature, and confequently a more devout conviétion of the wifdom of its great Creator, than there was any profpedt of in the preceding age. Such knowledge of the works of God, fought out of all them that have pleafure therein, and affording unex- pected advantages to human life, is the refult of experimental enquiry; and experiments cannot be made without proper inftru- ments [+ geen. 4 ments and machines. Of thefe, none has opened a wider field of enquiry in natural philofophy than the air-pump; and I am inclined to think, that this inftrument has not yet afforded all the fervices of which it is capable, when I confider that air is fo large a component part of moft bodies, that fince many kinds of air are compounded of other aeriform fluids, and affume different qualities according to the varieties of their combination, thefe component fluids would in many experiments be with moft advantage united in vacuo; and alfo that fome electrical expe- riments not only require a vacuum, but alfo one of the moft perfect kind. WirtuH a view to this latter circumftance folely, fo long ago as the year 1776, I fet about contriving an air-pump which fhould be fimple in its conftruction and yet exhauft more per- feétly than thofe of the common form ; and in 1778 I made one (the barrel of which was of pewter-metal) on the principle, which, I was fatisfied from the following theory, was the moft effential, of leaving as little air as poffible under the pifton when put down to the bottom of the barrel; and the perform- ante of this machine was fo excellent as to induce me to fabri- cate a larger and more perfect one of the fame conftruction, and made in brafs-metal, which I had executed (in the country) in the year 1785; but not finding it to perform as well as I had expeGed, I devifed an alteration and improvement in it, which I had almoft finifhed the workmanthip of in 1788, being that | which Reg To Le nn ee ee ee Oe ft 3m which is here defcribed ; and from that time ’till the laft fum- mer (1785) it lay by me neglected, bad health, &c, diverting “my attention from it; for the whole of it, except the forging the iron-work, was made by myfelf without affiftance. At length, being loth to lofe my labour, [| put the laft hand to it. Before it was finifhed, I was acquainted with the conftruction of Mr. Smeaton’s air-pump, with its improvements, but had not heard of Mr. Cuthbertfon’s ; which, as well as Mr. Smeaton’s, I find is conceived on the fame principle with mine, yet the ap- _ plication of that principle in the machine here defcribed, being exhibited in a much more fimple conftruction, it will I am perfuaded be found to perform better and with more certainty than the former, on which perfuafion only I am induced to publifh it. The reader will eafily underftand what is hereafter faid of its theory, after he has confidered its conftruction. Tue principal parts of it are one barrel and pifton, one ftop-cock, one valve,-and two pipes of communication. N. B. Tue pump here defcribed is a portable one, and fo contrived as to be confined in a very fmall fpace; but it may be made of a different form, and with two barrels, though not conveniently. Fic. 1. is a perfpective view of the whole machine as it lies before the operator. Fig. 2. 1s a back-view of the fame. Vou. VI. Ss THE [ 322 | Tue barrel A A, (fig. 1.) is almoft fifteen inches long, and internally in diameter juft two inches; it is moft perfectly cylindrical, and polifhed like a looking-glafs within.. The pifton (fig. 3.) is folid, without any perforation; it confifts of circular plates of leather preffed together between the round plate a, (in the focket of which 4, the pifton rod was inferted and faftened by a crofs fcrew, before the leathers were put on) and the two upper plates c and d; of which the outer one d, being {crewed upon a fcrew formed on the outfide of the focket, preffes down the under plate, and this the leathers, which latter are not reprefented in the figure. The upper plate, when fcrewed on, lies even with the upper part of the focket, that, when the pifton is raifed to the top, it may touch the plate covering the upper part of the barrel, leaving no air above the pifton. Thefe two plates of the pifton, efpecially the lower one, are made fo large as juft to move in the barrel without touching it, and care was taken that when the pifton is put down, it fhould be every where in contact with the plate at the bottom of the barrel, this plate being turned in the lathe upon the pifton rod which fitted its focket exactly, — fo that not the leaft fpace might be left for lodgment of air under the pifton. The leathers are of the beft buck-{kin, dreffed in the ufual manner, firm in its texture, but not harfh; and being well dried, were foaked in a. mixture of. three parts — $ fuet melted with one part oil, before they were put ‘together : they — | er Eee! Luge 322. Sveence 3 Wi _ 6 a Ta bran Ql se tence , et Saket re eS ee Geiss g23.]- they were then, when cold, turned in a lathe on the pifton, with a very fharp tool *. | Tue iron rod of the pifton is 4% ths of an inch in diameter, exactly cylindrical, and very fmoothly polifhed; it moves through a collar of leathers (the fame kind as thofe of the pifton) enclofed in the brafs box C, the lower plate of which is fixed on the top of the barrel by the four fcrews 4, 4, pafled through the broad prominent rim of it; and the plate was fo well adapted to the top of the barrel, by grinding it on it with a circular motion, as to require only the interpo- fition of a little {tiff ointment to make the joining air-faft. A cover is, in the fame manner, adapted by three fcrews to the projecting rim of the box containing the collar of leathers, in the middle of which cover is fixed the focket or collar E, above an inch long, through which the pifton rod moves. As it is altogether neceflary that this rod fhould move moft , Ss 2 exactly * Tf to. cd leather were ufed for the pifton, &c. it might be foaked in oil alone ; | a ides that it is apt to grow too hard by compreffion, and alfo to cor- rode the ~safs of the barrel more from the acid imparted by the bark with which it is tanned, it alfo emits a greater quantity of elaftic fluid in vacuo than leather which is not tanned. On thefe accounts I. have ufed buck-fkin leather for the pifton, but the texture of this being very loofe, oil only would not fill its pores fo as to make the pifton air-tight, even when the leathers were clofely preffed ; and it was neceffary to fill its grain with the above ftiffer compofition. Yet this leather will alfo generate air, and is harder to be made air-faft; it alfo moves fo ftiffly in the barrel that perhaps good fhoe-leather is preferable to it. [ gear] exactly in the middle or axis of the barrel, care was taken that the pofition of the box, and of the focket annexed to it, fhould be fecured, by having a prominent part of the plate of the box of leathers inferted into the pump barrel, and a like projeéting part of the lid of the box inferted into the box itfelf; alfo that the pifton rod fhould moft exactly fill the focket in the lid. Over the collar of leathers, within the box, lies a tinned brafs plate, which is preffed down upon them by the ends of three fcrews 3, 3, fcrewed through the lid of the box. 4 Tue pifton is moved up and down by the toothed flat bar or rack F, whofe end is furnifhed with an arm G, (to be taken off occafionally) which arm is fecured againft a fhoulder formed on the end of the pifton rod, by a nut H fcrewed on the rod; the rack is moved by a {mall fteel wheel L, one inch and 2 in diameter, having twelve teeth, and which is turned by the handle X fixed on its axis L. This wheel is fuftained by the cheeks K, K, fig. 1. & 2. furnifhed with’ projecting fockets, through which its axis pafles. Thefe checks are {crewed to the iron bar M, which is a part of the frame fupporting the whole machine; by this bar it is faftened by clamps to whatever table it is placed on. _ From the middle of the bar, and at right angles with it, extends ho- rizontally an arm N, (rivetted and brazed upon the bar) the under ies an under furface of the arm being on a level with the upper one of the bar; this arm fupports the gage glafs Y, and ter- minates in a crofs piece (making together the form of the letter T) to which piece and to the ari, the receiver-plate is {crewed by {crews underneath, inferted into its thick margin. Tue bar M fupports the upright pieces or pillars o, 0, terminating in the femicircular arms p, p, on which the bar- rel is faftened by four fcrews at p, p, fcrewed a little way into its projecting rings. Thefe pillars are made of iron, and very ftrong, being half an inch in thicknefs; they are alfo moft firmly fixed, and fhould be brazed in the bar which fup- ports them; this being neceffary, as all the force of the handle of the wheel, by which the rack is worked, bears againft thefe pillars; and, if they were to be fhaken, the cement by which the receiver pipe is conneéted with the pump would be broken, which cannot otherwife happen. The pillars fupport alfo the iron cafe or fheath P P, extended underneath the pump barrel, Within which cafe flides the toothed bar or rack F, moved by the wheel, and this rack (with its cafe) is fixed exa@ly pa- rallel to the axis of the cylinder, that it may draw out the pifton rod precifely in that direction in which itfelf moves: the bar is 3 of an inch in thicknefs, but is an inch in breadth from the bottom of its teeth to the back of it. It is made thus ftrong that the end of it may not be ftrained upward [ 326 ] ‘upward from the proper direction, when it is urged forward by the wheel, and yet checked by the pifton rod after the pif- ton is raifed to the top of the barrel. To confine the rack in the true line of its motion, it is made perfe@tly ftraight and of the fame dimenfions in its whole length, and its cafe the fame, fo as to fit each other moft exaétly, that it may be kept in its due pofition when the greateft part of it is drawn out of the cafe; for which purpofe alfo it is made, (as like- wife the cafe) fo much longer at either end than the part neceflary to be toothed, as to permit a great part of it to re- main in the cafe when the pifton rod is drawn out to its utmoft extent: accordingly, in this pump, it acts in this refpect as well as could be wifhed*. A notch is cut out of the cafe at I, to allow the teeth of the wheel to take into thofe of the rack; and to keep the cafe firmly in its place, little notches are cut in the upper edge of it, into which the contiguous parts of the pillars are let, and it is fecured fo by wedges 2, 2, underneath. It will be known that the cafe of the rack has its due pofition when, the arm G being taken off, both the rack and the pifton rod, pulled out to their limit, are * By this contrivance of fixing the barrel of the pump horizontal and its rack underneath the barrel, it is made fo portable that I have packed it (the gage glafs and receiver being taken off) in a box two feet long, eighteen inches wide and feven in depth; and it fhould be remembered, that the moft operofe parts of it here defcribed are the frame and machinery neceffary to render a pump with /o long a cylinder portable; a great part of which machinery, if it were not portable, would not be fpared, but merely exchanged for the huge frame of thofe fo conftructed. ee he pg } © c eez” J are found to be, parallel. The -pillars are made as fhort as poffible ; to favour, which, the frame M has a furrow cut in the middle of it under the wheel I, to let the teeth of the wheel defcend almoft to the table on which the machine refts ; and. the pump barrel is placed as near as may be to the rack. On the upper part of the box containing the collar of leathers, is a projecting part of the metal, in the fhape of a cube, forming a little pedeftal Q: on this is placed the vaive f; from beneath which defcends a ftraight dua into the barrel without penetrating the box: the form of the parts of this valve (all made of brafs and of the fize of the originals belonging to the pump) is re- prefented in fig. 4. in a vertical feGtion. AA is a fquare plate (to be taken off, if it fhould require to be ground and polifhed anew in contact with the valve ;) which is faftened on the pedef- tal with cement; it has a hole in the middle, being the open- ing of the dua, in which is inferted the little elevated pipe c, to be occafionally taken out ; whofe ufe is, to prevent the oil applied to the valve from being blown down into the dua, by the air rufhing into the barrel: the clevated part of the plate a a is circular, and has its upper furface made plane and po- lifhed, on which refts the valve D; which is fo far hollowed within, that only its lower edge, being about .th of an inch thick, (which is alfo well polifhed) may be in conta with the plate under it, and alfo that its cavity may rife above the little pipe : Epa Jy pipe: the valve is almoft cylindrical, tapering but a little from the bafe upward, and being laid on the plate with a fmall drop of oil interpofed, the hollow cylindrical cap E, very little wider internally than the valve, is put over it, being faflened down on the projecting circular part of the plate a a. To let the air pafs through this cap, three little holes ¢, e are made in its fides, the centers of which are juft as high as the lower edge of the valve D, when it is raifed to touch the top of the cap; the holes being higher than the plate under the valve, that the oil may not run out by them. When this valve is found to admit air into the barrel, it is occafioned either by the oil’s be- ing blown away, or fome particle of duft, &c. getting between it and the plate, (which would produce the fame effet in any valve) and is remedied by taking it off, wiping it clean and applying another drop of oil: the greater the quantity of air is, which pafies by the valve, the more is the oil diffipated, and confequently this chiefly happens in the beginning of the ex- “hauftion, when much air is drawn. from the receiver, and thrown out of the barrel at each ftroke; fo that whenever great rare- faction is requifite, I often found it convenient towards the end of the operation to apply a frefh drop of oil to the valve, keeping the pifton in the mean time elevated to the top of the barrel whilft the valve is taken off, until it be replaced; which is done in an inftant: thus it will perform perfe@ly well, if quite clean and free from duft; but as the fmalleft particle of dirt or mucus (which is apt to be produced from the oil’s corroding the [ e | the brafs. and becoming clammy) will render the valve not air-- tight, I am therefore perfuaded that no valve will fo perfectly or certainly exclude air as a flop-cock; and this I take to be the chief reafon why Mr. Smeaton’s pump, as improved by Meffrs. Kaas’s and Hurter’s contrivance for raifing the valve at the bottom of the barrel, does not in praétice anfwer as well as any other: for if fome air did not return into the receiver by that valve,.in pumps on his conftru€tion, it would be hard to tell why it fhould not perform as well as a2 pump of any other- conftruction, To the bottom of the barrel is faftened,.by four fcrews paffed through its prominent rim,.the circular plate R, forming, in part,, the fhell of the cock S, and which has the high ridge T on the back of it; all thefe being only one piece of metal, which is reprefented feparately in fig. 5, and’ was caft in that form: the round plate is about ¢th of an inch thick, but the cavity of the cock intrudes fo far on this that,.when the key of the cock is put in, the thicknefs of the plate in the part dire@ly over~ the key, where the duéts open into the barrel, is not more than 4th of an inch: the length of the fhell of the cock is. three inches; that of the key ith of an inch lefs: the dia-- meter of the key at the thicker extremity is 1 4ths of an inch, and at the fmaller end 14th of an inch. It is turned’ by the handle #, faftened on its axis as near to the end of the fhell ax may be, viz. at the diftance of 4th of an inch. Care Vor. VI. et was - acl | Boe) -was taken that the metal of the cock fhould be free from pores, by which if air were admitted in the working, it would be very hard to difcover it, as this might take place only in certain pojfitions of the key; and the ointment might fometimes prevent and fometimes fuffer it, fo that it might elude trials ; the cock was alfo fo truly and fmoothly ground as to produce an intimate contact of the key and fhell throughout, (for air will penetrate where liquids would not) it was alfo made of a true conical fhape, its fides being perfectly ftrait from end to end. The cock muft be lubricated and made air-tight by oint- ‘ment *, and as all oil or greafy ointment has an acid in it, (of which perhaps it can never be divefted without deftroying its lubricity) which corrodes the brafs, and ftiffens the oil or ointment itfelf, by impregnating it with green ruft or verde- gris, I found it neceflary, after the cock was finifhed, to have the key and the infide of the fhell coated with tin f. THE * This I have made of one part common rofin, one part oil, and one part and a half frefh fuet: the oil and rofin is firft melted, and when a little cooled, the fuet is added, that the heat requifite to melt the rofin may not burn the fibrous part of the fuet and deftoy its firmnefs: more oil is to be added in cold than in warm weather. The quality of the ointment for the cock is of the utmoft con-— fequence ; for if ever the parts of the metal of the cock come into immediate contact, it will not be air-faft ; oil will not render it fo, (nor confequently would a valve) but the ointment muft be {tiff and adhefive; yet not too ftiff, as then it would be hard to turn the key, and it could not be diftinguifhed whether its {tiffnefs was owing to the ointment, or to the fri€tion of the pa of the metal getting into immediate contact, which would be pernicious. + This was done by making the metal very clean and bright by rubbing with whiting and water; and having heated it as hot as boiling watef, and preferved it fo, be gape: Tue key of the cock terminates in a little knob x, fig. = againft which the end of the thin fpring lever y, prefles to keep the key conftantly firm in its fhell: this {pring is made to urge onward the key with any degree of force requifite, by the {crew at y, {crewed through the outer part of the little arch or frame, which frame is itfelf faftened by {crews on the prominent ring of the barrel, as appears at z, fig. 2. The lever has a little ridge or elevated part, which refts in a notch in the frame; by which the lever is fixed in its proper place, the notch. being the fulcrum: by withdrawing the fcrew, the ridge may. be raifed out of the notch, and the lever pulled back from the knob, to let the key be taken out when it re- quires more ointment ; which will be known when it. has worked into the fhell nearly to its limit; and.this fhould be ¢ carefully: fo, I rubbed the parts to be tinned very well for half-an.hour, or more, with a. linen rag wetted with diftilled vinegar, in which had been boiled fome falam- moniac, together with an amalgam of: quickfilver- and tin; ’till the metal was every where well coated with the amalgam; then wiping off the. loofe particles, I heated the metal in the fire, “till in the dark, it was juft beginning to appear red hot; with this heat the mercury evaporated, leaving a very hard ccat of tin on the metal, without in the leaft injuring its fhape or polifh; this alfo pre- vented the key and fhell of the cock from tearing one another by fri€tion, which would certainly fpoil the cock, as frequently happens with foft brafs. The infide of the barrsl (for reafons hereafter given) fhould be tinned in the fame manner ; but it fhould, before-it is at- firft polifhed, be heated equally red in the fire, and fuffered to cook equally and gradually, that it may not alter its fhape when heated again in tinning. Any other. method of tinning it, but this, wouid be bath difhcult and. hazardous. - [ 332 4 carefully Icarned, by marking how far it can be inferted into the fhell without any ointment interpofed. The form of the ‘key and its lever is exhibited in fig. 6. in an horizontal fection through the middle of them. Turoucu the fhell of this cock are two round perforations for two duéts through the cock, each, one inch diftant from the other, and the fame from the end of ithe cock on either fide: they are in a plane or fection pafling through the axis of the key, and alfo through the axis of the barrel; and both pafs through the ridge of metal T, at the back of the ‘hell. The duét next the fmaller end of the key (being a part of the dué& communicating with the receiver) is in diameter 4th and the other dué@ is only ith of an inch: through the key gee. J feé&t vacuum could be made in the rec’ and gage-veffel, it would fink more or lefs Jeneath the level of the furrounding merc’, as the tube is natrower or wider, even fo as to dif- appear, if the tube were very narrow; fo that it muft not be lefs than 3,ths of an inch in diameter; but it would be better if it were ths. If it were obferved how much the merc’, in a tube open at both ends, would fink beneath the level of that in a ciftern, in the open air, it might be pretty nearly efti- mated how great is the rarefaction in this gage veflel and con- fequently in the rec’. Tuts reduced barometer is the ordinary gage I ufed, by which a perfon accuftomed to obferve it may know what is nearly the rarefaction when it does not excced two or three thoufand times; for which purpofe there fhould be marks made with a file on the outfide of the tube, dividing it into inches and decimal parts: if the common whole barom’ gage, and this reduced one, were applied to the pump together, the altitude of the merc’ in the latter would be equal to the dif- ference between that of the former and a ftandard barom’. When the merc’, having funk to the bottom of this fhort tube, rifes to the top again on admiffion of air, all the invifible air bubbles which were in it, will afcend and form one air bubble at the top, which will be the lefs, and the gage the more exact, as the tube had been more perfectly filled, and this will alfo thew how far the ordinary Torricellian vacuum is from being : fo iM [94974 J fo perfect as it is commonly fuppofed, for there will perhaps always be fuch an air-bubble formed, be the tube ever fo care- fully filled: in that mentioned in the fubfequent trials however, the bubble was not ‘bigger than a pin’s point, and fcarce vi- fible. Ir after exhauftion the air were let fuddenly into the rec" and gage-veffel, the merc’ would be forced up into the tube with fuch violence as certainly to knock the top off it, or to {plit it ; to prevent which, the cock is placed at H, to ftop the communication of the rec’ du€@t with the branch of it which goes to the gage-glafs, whenever it is requifite to let air fud- denly into the rect: when this cock is not fhut, the communi- cation between the rec’ and gage-veffel muft never be opened, (if the latter has been exhaufted and the merc’ has fubfided in the tube) ’till the pifton is previoufly put down to the bottom, and the rec’ is exhaufted. It would be a great improve- ment of this machine, if another fuch cock were placed between this one and the rec’, to ftop occafionally the main duét between the barrel and rec’; by which the rec" would be doubly forti- tified againft the intrufion of air, and the cock attached to the barrel might then have its key taken out, when it requires frefh ointment to be applied ; which will often be neceffary, when it muft be turned many times during the exhauftion of a large ‘rec’, or when one is to be kept exhaufted many days, and it may be requifite frequently in that time to pump out air which ‘Vou. VI. Uu might L 9gee i might have forced an entrance into the rect. ‘This can’t be done in my pump here defcribed for want of this fecond cock, which might at firft have been eafily added. — Tue gage-glafs or veffel is fupported by the pillar B, which is fo high, as that the eye of the operator, looking over the barrel, may be on a level with the furface of the merc” in the gage-veflel ; it terminates in a deep cup W, to receive the narrow bottom of this veffel, which is fixed in it with cement: the pillar is fixed upon the duét of the rec’ by two fcrews which pafs through the iron frame underneath, and alfo through the fides of the du@, which are fo thick as to admit holes for the fcrewseto be made through them, without the channel of the du@; by which both the pillar and the du are made firm. Ir a fyphon-gage fhould be preferred to the reduced bar’, this pillar would fupport it, and the pipe E might be connected with its open end. I have preferred the former, becaufe in it the foul, confined, or factitious air, which may be in the rec’, can never get into the tube, and make its fides and alfo the merc” in it foul, preventing its motion in the tube and equi- librium; as it ever will do in time in the fyphon or com- mon bar gage; fo that this little barom' always acts as well as at firft. To apply a whole bar’ as a gage to this pump, ; when 27% lie [ 339 ] when placed on acommon table which is too low; let a metal pipe connected with the rec’ at C, or D, fig, 2. have an arm rifing upwards to the height neceflary to connect it with the open top of the bar tube, whofe ciflern may be fupported by a board faftened below to the frame of the table. Thus every neceflity will be prevented for conftruGting the pump with an unportable frame. In order to make each of the ducts, which have now been defcribed, communicate alternately with the barrel, it is necef- fary that the key of the cock fhould receive a motion of one quarter of a turn, the duéts in it being at right angles to each other; and confequently it muft have detents to confine it to that motion: this is effected by a pin 2, fixed perpendi- . cularly in the back of the handle w, fig. 1. which pin, when the handle is put on the fquare end of the key (and fecured there by a winged nut) defcribes a quadrantal arch under the fhell of the cock, where there is juft room to allow fuch a motion of the pin, a part of the ridge of metal at the back ‘of the cock, being hollowed out for that purpofe; and care was taken that the ducts in the key, when at the limits of its due motion, exactly correfponded with the holes in ,the fhell; the _ key not being pierced ’till the handle was fittted on, and thefe limits afcertained. The joinings of the cock to the barrel, and Uua2 of [ 340 ] of the piece of metal to the cock, as alfo of the duéts to that piece of metal, are made air-tight by melted cement interpofed between them *. THE * The parts to be joined were firft made very clean and bright, and then heated fo much as to melt the cement quite fluid ; fome of it being thus fmeared on the whole of the furfaces which were to be applied together, before they were joined; as otherwife it would not penetrate into an extenfive joint, efpecially if the metal were too cold, for the cement would grow folid in its paffage; nor would it intimately cohere with either glafs or metal lefs hot. The cement I ufed for this purpofe was made of about two parts of common refin and one part bees-wax, melted together, which anfwered well enough: this I alfo melted, with an iron moderately hot, round the edges of the rec’ on the plate, both being previoufly warmed; when I wanted the rec’ to be permanently air-faft, or when from its fides being too weak or of an im- proper fhape, there was danger that being exhaufted, its fides might change their form by the great preffure of the external air, in which cafe fofter cement would, by yielding, admit air. A Whenever it is necefflary to open the barrel to clean it, the pifton is to be firft raifed to the top, the nut to be then unfcrewed from the end of the pifton rod, the arm of the rack to be taken off, and the ferews faftening the box of leathers to the end of the pump, to be taken out; then with a hot iron, or rather a candle and blow pipe, melt the cement joining the circulating-pipe to the piece of metal attached to the box, (or unfcrew them if joined by a fcrew.) The box of leathers may then be taken off, and the pifton extraéted, which, with the barrel, &c. being cleaned, the parts may be replaced without disjoining any other part of the pump. N, B. ‘The leathers of the pifton having been at firft treated as before directed, freth hog’s- lard would be beft to lubricate its edges with, afterwards ; for if oil were ufed for this. purpofe (at leaft copioufly) fome of it would get into the holes- of the cock, and making the ointment of it too foft, it would admit air. Alfo after ointment has been put on the cock, and the key has been often turned to fpread it evenly, the key, before the pump is worked, muft be taken out ; and the mouths of the duéts in it, cleared of the ointment bya pin, and alfo of thofe in the fhell, bya crooked wire. ‘This is neceffary to any pump conftruéted with a cock in place of a valve. eg SRR Seay ss a me E:. 3anr, 4 Tue action of this pump in exhaufting is as follows: The pifton being at the bottom, and the key of the cock turned to its limit on that fide by which the communication is open be- tween the barrel and rec’, and confequently that with the. cir- culating pipe clofed, the pifton being then raifed to the top of the barrel, difcharges the air in it through the valve, and that in the rec’ rufhes into the barrel; the key being now turned to its limit on the other fide, the communication .with the rec’ is clofed, and that with the circulating pipe opened; while it is kept fo, the pifton is depreffed, and drives the air (which had paffed from the rec’ into the barrel, and was left there on turning the key, and fo clofing the communication between it and the rec‘) into the circulating pipe, and through it into the top of the barrel: the pifton being down to the bottom, and the key again turned to open the paffage to the rect and to clofe that with the circulating pipe; if the pifton be again raifed, the air above it will, as before, be thrown out by the valve, which air is no other than what in the former ftroke, had come out of the rec’: for the valve at the top clofing, as foon, as the pifton began to defcend, excluded all entrance of the external air into the barrel. As the pifton rifes, more air will pafs from the rect into the barrel under it, which on turning the key, and deprefling the pifton, is by the circulating pipe conveyed to the top of the barrel, to be pumped out through the valve on raifing the pifton as before. Thus the ftrokes be-— ing: [ 34m ] ing repeated, fome air will come everytime from the rect into the barrel, ‘till that in the rec’ is as rare as the air in the barrel would be, when the pifton is raifed to the top; fuppofing no communication to exift between the barrel and the rec’, nor any more air to be under the pifton when elevated to the top, than there was when it was at the bottom. Tuts pump acts likewife as a condenfing engine, without any other additional apparatus than that common to all; of a frame for keeping down the rec’, which in this fhould confift of an iron bar to be laid under the frame fupporting the rec: plate; in which bar are faftened two upright rods, with nuts and {crews at their ends, to {rew down a crofs-piece prefling down the rec’ in the ufual manner. When the bar is thus | laid under the rec’ plate, this latter will ftill be level; for the part of the iron frame of the machine which is under the rec’ plate, is higher than that part under the barrel by which it is faftened with clamps to the table, as before defcribed ; and when the frame of the condenfer is not ufed, a piece, of board fhould be laid under the rec" plate to raife it to an ho- rizontal pofition. Tue action of this pump in condenfing is as follows: The cock of the gage-veflel is ftopt that it may not be burft; the valve is taken off; the communication of the bottom of the barrel Pea 2] barrel with the circulating pipe opened by the key of the cock, and the pifton raifed to the top; the external air then preflts through this pipe into the bottom of the barrel, which it ‘fills : on opening the rec’ pipe by turning the key (which {huts the other pipe) and deprefling the pifton, the air under it is forced into the rec’. The cock being again turned while the pifton is kept at the bottom, and this again elevated, the external air fills the barrel by the circulating pipe as before, and this on turning the key and deprefling the pifton, as in the for- mer ftroke, is forced into the rec’; and the condenfation is in this manner encreafed by a repetition of the ftrokes; the de- gree to which it is carried being eafily known, even without a gage, by knowing the proportion between the capacity of the barrel and rec’, which the operator fhould, whether he is ex- haufting or condenfing, be always certainly informed of, as otherwife he cannot tell how many {ftrokes are requifite to produce a given degree of rarefaction or condenfation ; in which latter operation the full of the barrel of air of the natural denfity, is thrown into the rec" at every ftroke; a dangerous operation with a glafs rec’, efpecially when large, unlefs it is clofely grafped in a cage of metal rods. . To let air fuddenly into the exhaufted rec’, there is a pin faftened in the end of the rect due (at N, fig. 1.) with cement, : by pulling out or loofening which, the air is admitted. .? 1 HAVE YY sae] T uave been thus particular in defcribing not only the ftru@ture of this pump but alo the reafons of the form of each of its parts, and the circumftances on which depends their right performance: becaufe the ftructure of the machine is novel; and alfo that any artift who might make fuch a one, may be guarded againft any alteration not duly confidered ; and as no perfon will ever make exquifite experiments with an air-pump unlefs he is himfelf, qualified to underftand and to rectify little accidents and derangements, to which every machine mutt be liable, which is to refift fo fubtil an intruder as air; fo I am fure neither artift nor experimenter (for whom alone this is written) will think me tedious in guarding him againft miftakes, which it would be more tedious to difcover, and far more fo to correct: in truth to make this defcription as ufeful as I wifh, the operator fhould underftand the parti- culars which are mentioned underneath *, I PROCEED * Suppofing every part of the pump to have been made of metal without pores ; and that every part and pipe has been feparately tried, by being filled with condenfed air, and fo plunged under water, to fee if the air efcapes through any fecret pore; the barrel alfo joined with its cock, and with the piece of metal attached to it, being . thus tried in itfelf, after clofing the mouths of the duéts in the latter, and that every part in itfelf is found air-tight ; if then the machine when put together, is found to to be leaky, it mult be fo either in the joints, which are clofed only with cement, or in the cocks, the valve, or pifton; and to difcover where the air intrudes, (and dif_i- cult indeed will it be found to exclude it altogether) each part may be tried thus : The yalve being taken off, put the pifton down to the bottom, and clofe the bottom b » y 2 fat) I procEep now to explain the principles on which the pump here defcribed was conftructed, and they are thefe: 1ft, Tuat the rarefaction produced in the rec will be by the final action of any pump, if there be no obftacle to the air’s by turning the key fo as to reft at the middle between its limits on either fide by which both its duéts will be ftopt, then elevate the pifton, and have it fixed fo, by putting a bit of wood acrofs between two of the teeth in the rack, which will hinder its defcent : after a long time, if the pifton when let down, can ‘touch the bottom of the barrel, no air is admitted’ by the pifton. This being afcertained, each of the duéts are next to be tried; in order to which, ftop the hole of the rect pipe in the pump- plate ; exhauft the gage-veffel, and ftop its cock, and the barrel cock: if then the merc’ rifes in the tube, the glafs-veffel itfelf admits- air by its cap or du@; which being re€tified, open the communication of the gage with the ‘rec pipe by turning the gage-cock ; if the mercY fhould then rife after a good while; the air has entered at the joint of the rec’ pipe. ‘Thefe parts being fecured ; then, to try the circulating pipe; firft exhauft the gage-glafs; ftop the end‘of this pipe at the top of the barrel, - by disjoining it from the box of leathers, and interpofing a thin plate of metal be- tween its opening and the part £, of the box; melt cement about the edges of this little plate, to feal up the orifice of the pipe there, having previou/ly put down the pifton to the bottom ; then after opening the communication of the barrel with the rec',. mark the height.of the merc’ ; elevate the pifton a little, and keeping it fo for a good while that whatever air may have entered by the circulating pipe may diffufe itfelf into the barrel, (to allow which this pipe muft now communicate with the barrel) turn the key very flowly and cautioufly, to let this air pafs into the gage-glafs without endangering its tube, and deprefs the pifton to the bottom, when if any air had intruded by the pipe, the merc? will rife above its altitude before marked, fhew- ing that the joint of the pipe with the piece attached to the barrel cock, was leaky ; which being remedied, reftore and fecure the communication of the -pipe with the top of the barrel ; exhauft the gage-glafs, at the Jaft ftroke of which procefs, when the pifton is at the top, keep, it there, ’till you have fealed with a plate and cement Vou. VL Xx the 2 air’s paflage, the fame as that which would be in the cylinder, when the pifton is elevated fromr the bottom to the top, fup- pofing there was no communication between the rec’ and cyl" during fuch elevation; fo shat if there were a perfect vacuum made in the cyl’ per /e, by raifing the pifton, the rarefaction’ in the hole under the valve ; open the communication between the circulating pipe and the barrel, then turn the key back again, and deprefs the pifton to the bottom; ob- ferve where the merc’ ftands; turn the key, to jom the circulating pipe with the barrel ; raife the pifton half way and keep it fo a confiderable time ; then flowly open the rect du, and put down the pifton; if the merc’ rifes higher than the mark, air has got in cither by the pifton rod, its collar of leathers not having been clofe enough preffed to the bottom of the box; or by the top of the pump not clofed; or by the joint of the circulating pipe with the du&t in the box; each of which muft be exa- mined. If the valve admits air, it will be known by being raifed during the eleva- tion of the pifton before it gets to the top, when the air has been greatly rarefied in the recr, or when both the ducts are clofed by the key. If it be chofen to let the air gradually into the rect without loofening the pin, it may be done with fafety to the tube of the gage-veffel, by taking off the valve; and raifing the pifton half way, ‘till the barrel under it is filled with air of the natural denfity ; then let the cock be half turned, and the pifton raifed to the top, to rarefy the air under it; the cock may then be cautioufly turned ’till the air gets into the rec’, the pifton being afterwards put down to force into it what air remains under it: this may be repeated. : If the pifton rod moves ftiffly through its collar of leathers it will be eafed by {mearing the rod all around with fome oil. The joints, &c. may be made air-faft, by melting the cement on them with a blow-pipe, or by a knob of metal, fixed on the end of a wire, heated by a blow-pipe. The cock of the gage-veffel (and all others ufed) fhould have the key one inch and a long, and its mean diameter ¢ of an inch at the jeaft. It cannot be too carefully formed and polifhed. le.g477 J in the rec’ would indefinitely approximate to a vacuum; and of confequence, adly, Tuar the degree of rarefaction in the rec can never exceed fuch rarefaction in the cyl’: from both which it fol- lows, 3dly, Taat the moft perfect pump, c: pf, is that in which the moft perfect vacuum is made under the elevated pifton, in the cyl" unconnected with any thing elfe. Tue firft pofition is in fact felf-evident, if it be admitted that the elafticity of the air is as its denfity (and I have reafon to believe. it has elaftic force to expand itfelf 30,000 times) for thus, whilever there remains any air, it will have power to diffufe itfelf out of the rec’ into the cyl’ (if there be no _ valve to raife, nor any thing to oppofe its paflage) fo long as _ there is lefS air in the latter than-in the former. bi f B Tue fecond pofition (or confequence rather) is no lefs evi- dent ; to fuppofe the contrary, is to fuppofe that a lefs elaftic force could overcome a greater, or that the rarer air in the rect could rufh into the denfer in the cyl’, which is fo manifeftly _ _abfurd, that it is furprizing the firft idea of an air-pump 4 which would ftrike any one, fhould not be that which firft i; occurred to me, when I thought of making one; that no air z XX, 2 fhould: [ 348 J ‘thould be left under the pifton when put down; yet this was certainly not adverted to by Mr. Boyle, nor (which indeed 1 admire) by Doctor Hooke, who affitted in contriving for him the firft air-pump; for Mr. Boyle complains that he could not, ufing recs of any fize, make the merc’ fink in his barom‘- gage to the level of that in the ciftern, and he attributes this to air cafually intruded, when he might have feen that he left it behind in his pump at every ftroke; for it is manifeft from the defcription and figure given of it, that a confiderable {pace was left between the bottom of the cyl’ and the cock; in which air of the natural denfity would reft, and for ever limit the degree of exhauftion ; now had this been corrected, his air-pump would exhauft as-perfeétly as any fince made, as will appear hereafter. All who have not attended to this circumftance *, I fuppofe, have imagined, that the air left under the pifton could after pafling into the rect be extracted from it again; whereas on the contrary, if we fuppofe a perfect vacuum in the rec’, and an imperfect one in the cyl’, from air left be- hind at every ftroke and diffufed in it, this air would at each ftroke get into the rec’, juft for the fame reafon that in op- pofite circumftances, it paffes out of the rec’ into the cyl’, viz. that it is-rarer in the latter: to expect the contrary, is -to expect it would miftake the way it fhould go. As M_r. Smeaton was too fagacious not to attend ta.it. bo Saad As it is ufelefs to attempt to make this plainer *, I proceed to explain the meafures taken to diminifh the quantity of air left under the pifton, in this pump, at each ftroke. Suppose the cyl’ to be open at the top, or the valve to be taken off, which is the fame thing; then, as the pilton fits the bottom of the barrel, there is no fpace left for lodgment of air under it when it is put down and the communication with the ducts is fhut, except the two little cavities in the plate at the bottom, being the holes of the fhell of the cock lying over the key; and thefe will be always full of air of the common denfity, at the inftant when the pump communicates with the rec’, for the external air preffes into the top of the barrel, which is fuppofed open, and therefore into the end of the circula-~ ting pipe which opens there; confequently as the pifton cannot ‘be put down, unlefs the air under it, which it protrudes in its defcent, be difcharged through this open pipe, fo the outward air having accefs to it, and to the bottom of the barrel (with which it muft communicate during the whole defcent of the pifton) will fill it and any void under the pifton ; but when the _ -pifton is at the bottom, and the key is turned, the air in the "pipe is cut off from that in the bottom of the barrel, none al- moft remaining there, but what is in the little cavities over the key ; which air will pafs into the rect on opening its duct into the barrel;—but if, by a 4a/f turn of the key ftopping Joth ducts, TI have proved this by calculation, and it will be farther explained hereafter. [ goad duéts, this air be imprifoned in the barrel and the pifton be then raifed to the top, the air in the cavities will be expanded in the cyl', and whatever is its rarefaction then, no greater can ever be produced in the recr; but its denfity then will be to what it was when confined in the cavities, reciprocally as the fpaces occupied, or as the contents of thofe cavities to the whole content of the cyl, that is, the rarefaction will be expreffed by the quotient of the latter divided by the former ; and this I call the rarefaction produced in the cylt fer fe: now one of thefe cavities is qth, and the other ‘th of an inch in diameter; the depth of both being jth of an inch; fo the fum of their contents is about 2 ths of a cubic inch: alfo the content of the cyl", which is about 13+ inehes long ‘under the pifton, and two inches in diameter, is nearly 42,4 cubic inches; the quotient of which, divided by the former, is 4711: and this No. exprefles the rarefaction in the cyl", and what ought to be produced in the rect by this pump, if it were even open at the top (in which ftate it would in fact be the fame as Mr. Boyle’s original one) but as the pifton can hardly be made fo exaétly to fit and fill the bottom, as not to leave a farther vacuity under it, perhaps equal to + of that of the 3 cavities under the plate, fo this rarefaction fhould be reduced +, viz. to 35303; and if the performance of the inftrument de- pended only on its mechanifm, it would not fail of rarefying the air to this degree, every part being made perfectly air-tight. Accordingly H hy ess i = ; ? : ig tn tae Accordingly this pump in this ftate (i. e. the valve being taken off) will fo exhauft a rect as to make the mercy in an open tube connected .with it, rife as high as and fometimes higher than that in a baromr of equal bore, placed parallel to.it in the fame ciftern, and filled: with mercy as carefully as it could be without boiling it in the tube; while the mercy finks in. the mean time in the gage to the level of the external mercY and even beneath it; and the pear-gage, in the drieft ftate of the air and rect (in which condition only of the atmofphere fo great rarefaction could be effected) will then indicate a rare- faction of between 2000 and 3000. Such limited performance was nearly what this theory promifed; and I alfo found the refidual air under the pifton, to elevate the mercy in the gage fo much at every ftroke, when, on turning the key, it was let into a fmall gage-veffel (no rect being ufed) that it was plainly neceffary to leffen the refiduum of air under the pifton, by applying the circulating-pipe, to tranflate the air from the fpace under to that above the pifton; by which the ufe of a valve, either in this or in the bottom of the barrel, was avoided ; and at the fame time, the top of the pump could be covered with a plate and valve, in order to take off the great weight of the air incumbent on the pifton, which makes the exhauftion by a fingle barrel (and fo wide a one) too laborious. Tue effect produced by this addition is, that whatever before was the refidual air under the pifton, is now diminifhed to fuch a part [ 35ay-] a part of the natural air contained in the circulating-pipe, as the cavities under the pifton are of the content of the whole cylt; i.e. as above fhewn, to about the 3530th part. Now the crofs fection of the channel of the circulating pipe, which is {quare, is only ;{,th of an inch, and its length 21 inches; its contents are therefore 21°,th parts of a cubic inch; of the air in which, only the 3530th part is contained in the cavi- ties under the pifton; i. e. nearly the 1680g9th part of one cubic inch, or the 712700th part of 42,4 inches (the content of the cyl') which Ne. will therefore exprefs the meafure of air left under the pifton, and confequently the rarefaction in the cyl" Tuts will be eafily conceived, if it be confidered, that when the pifton has been raifed to the top, the valve muft at that inftant be open, difcharging the laft of the air pumped out of the rect; the circulating pipe as far as the key, will there- fore be filled with common air; but when by turning the key of the cock, this pipe is opened into the rarefied air or vacuum under the pifton, the parts of the cyl‘, both over and under the pifton, are one vacuum conne¢ted by this pipe; and then the valve, not preffed underneath, mutt fhut, and no air enters above the defcending pifton, but that which expands itfelf out of the circulating pipe; fo that there is no air in the whole cyl", over or under the pifton, but what had been con- tained a tained in the pipe, and is now uniformly diffufed through the cyl*: and as both the orifices of the pipe open into the cyl during the defcent of the pifton, fo when this is at the bottom, the whole of this air is over the pifton, except fuch a part of it as is expreffed by the ratio of the content of the cavities under the pifton to that of the cyl'. Ir has been fhewn, that when the pump was open at the top, and the circulating-pipe confequently ufelefs, fo that the air above and beneath the piflon was of the zatural denfity ; yet in this flate, the rarefaQion was as the capacity of the cylt to that of the cavities under the pifton; but as the air is rarer or denfer in the cyl", it muft be fo alfo in the cavi- ties: and it will by the addition of the circulating-pipe and valve, be rarer in both thefe, in the proportion of the capacity of the cylt to that of the circulating-pipe (for the air in the latter being diffufed in the cyl will be rarer or denfer there, as the cyl is larger or fmaller ;) fo that the rarefaction now will be in a ratio compounded of the ratio of the content of the cyl", to that of the cavities under the pifton, and of the -ratio of the content of the cyl’ to that of the circulating-pipe : for the refidual air under the pifton is inverfely in this com-_ pound ratio, and the rarefaction is inverfely as fuch refiduum. _ However fince either the valve, or cover of the pump, or the collar of the pifton, will always admit fome air, as the Vot. VI. Xiy pifton . abe | pifton defcends, frequently (in my trials) fo much as the soth — part of the whole capacity of the cyl, the contents of the circulating-pipe of air muft be fuppofed as encreafed to that quantity ; and the fecond ratio above mentioned, of the cyl to the pipe, muft be taken as that of the cyl’ to the soth part of its own capacity; and according to this, the utmoft rare- faction which could even by this theory be produced, would be about 176500 times; and this the pump would produce, fuppofing the pifton to throw up all the air above it, and no external air to intrude unlefs fome other principle operated to prevent it. Alas! it falls far fhort of this perfection; and as I have never found any reafon to fufpect, that the pifton left air behind it adhering to the cyl‘, nor that any intruded by cocks or joints, in fuch quantity as to occafion fo fad a defe&t in its performance (but the contrary as will appear hereafter) this defeé&t cannot, as I conceive, arife from the mechanifm of the pump, but from other caufes. It is well known how much any moifture, or any fubftance capable of generating a fupply of aeriform fluids, either per- manently elaftic under the ordinary preffure of the atmofphere, or fuch only in vacuo, will prevent exhauftion, and occafion a contradiction in the gages, by which its degree is indicated. I have confidered and tried their various effects, having three gazes applied to the pump together, viz. a common ftrait ba- romf-tube, in which the mercy afcended, the reduced baromr- tube, ip siege] tube, in which it defcended, and Mr. Smeaton’s pear-gage ac- curately graduated; aud when I knew there was none of the - above-mentioned caufes to create the great and furprifing va- riations, which at different times occurred in the pump’s ex- haufting power, even when the gages agreed fo far that when any one of them indicated a greater or lefler rarefaction, the two others did fo likewife; I was led to look for the caufes of thefe variations, either in the materials of which the pump, &c. confifted, or in the different qualities in the external air, which was in the recr; and to fufpect, that new and perma- nently elaftic air is fometimes generated within the pump, in the working, and fometimes abforbed or fixed again, and that the quantity of air fo generated, is in certain ftates of the atmof- phere and of the pump, fo great, even in a fingle ftroke, as would fill with this faCtitious air, reduced to the denfity of atmofpheric air, a fpace even greater than that of the vacuities under the pifton, and of confequence to limit the exhauftion of the rect even within what the pump may be fuppofed to effect, without the addition of the valve and circulating-pipe. Now if fuch production of air can be proved to exift, the theory here laid down, may be fo far juft, as the flructure of the pump is concerned, and defective only with refpect to other principles. In fourteen feveral trials of exhauftion which I made in the months of July, Auguft and September laft (1795) the air being Yy2 generally - a) 56 } i (> generally very dry, the rarefaction produced, as fhewn by the pear-gage, was, five times, between 3000 and 4000, the merc? in the barom!-gage flanding at the fame times always above . ;isth part of an inch higher than it ftood in a ftandard ba- rom! of a wider bore, which was filled with merc’ made very hot, as was alfo the tube*, as well as I could fill it without boiling the merc’ in the tube; and the merc’ in the reduced baromr-gage, funk below the level of the furrounding mercy. In the other nine trials, the rarefaction as fhewn by the pear- gage was from gooo to 26000; when the merc’ in the barom™ gage flood at ~24,ths of am inch higher than that in the flan- dard baromr, and funk in the reduced baromr full lower than before beneath the flagnant merc’. In feveral trials made from the 15th of September following to the 5th of December, when the air was always moi, I could not raife the merc¥ in the baromr-gage to the height of that im the flandard ba- romt (which ftood clofe befide and parallel to it in the fame cifern) except once, and never fo high even in the pear-gage as it flood in moft of the former trials: whence it is evi- dent, from the correfpondence between the three gages, that. a moift atmofphere prevents the exhauflion, not only of aque- ous * The tube was placed in a heated gun-barrel, and filled with the mercy heated on fand, when filled, it was taken out of the gun-barrel, and being fo cold, as juft not to burn my gloves, an air-bubble was moved through it ; and the mercy, as I found by trials, flood higher than it ever would do if poured cold into the fame tube. a ee ee eee ik See ous vapours, but even of permanently elaftic air from the recr, contrary to what has been generally imagined, viz. that fuch aqueous vapours would encreafe the rarefaction as fhewn by the pear-gage, in the fame degree as they would diminith it, ac- cording to the teftimony of the barom'-gage. Tue reafon why mere moifture in the rect cannot be pumped out, though it be in the form of elaftic vapour, when the air is moift (for in dry weather it actually can, by long working, as I have often found) I take to be this, that when it is got above the pifton, as foon as the valve opens, the preffure of the external air inftantly reduces the vapour to water, which fubfides in a dew on the top of the pifton, and the upper parts of the pump (the little air which gets in through the valve, and by fuppofition moift, being infufficient to dry it up) and refolves into vapour again, when it can pafs by the circulating-pipe, opened -below, into the vacuum under the pifton: Thus I fup- pofe it is kept circulating within the barrel and cannot be dif- charged. But why any permanently elaftic fluid in the recr could not, in damp weather, be exhaufted, as it was when the air was dry, is a queftion of great difficulty. I had long before fufpeéted that air was produced within the pump, notwith- ftanding its excellent performance juft mentioned; of the reality of which, from the agreement of the gages, and chiefly from the ele&trical phenomena (to be hereafter recited) I could not fee [3568 4 fee the leaft ground for doubt; and am perfuaded, that fuch faGitious air is generated more copioufly, by the moifture, or fome quality in the atmofpheric air in the rect, in damp wea- ther, than when the air is dry. An opinion or rule given without a reafon, refts only on the authority of the diftator: that this may not reft on mine, I muft beg leave to relate on what it is founded ; for the fad, if it be one, is of the laft confequence to the perfection of the machine, as indicating a new principle, with refpeét to which it ought to be conftruéted. I muft premife, that in making the following obfervations. I ufed no other rect than a fmall glafs veffel, covering a reduced baromr-gage, whofe capacity, together with that of the dudts of the rect (which conftitute a part of the contents of every veffel to be exhaufted) was only about eight cubic inches ; for the fmaller the recipient is, the greater and more diftinguifhable by the eye, will be the afcent or defcent of the mercy in the gage, on the addition or fubtraction of a given quantity of air. The mercy in the gage being by exhauftion brought down within one inch of the level of that in the ciftern, which was always done, the following effeéts were produced in working the pump; which I noted a great many times to have happened invariably. 1ft, WHEN ie see ift, Wuen the pifton was feveral times raifed to the top, and depreffed again without turning the cock; the rect-pipe being conftantly kept open; at every fuch elevation or ftroke, the mercy rofe a little in the gage; and generally in fix ftrokes about +th of an inch. In thefe circumftances, fome air remain- ing in the rect, was at each ftroke, drawn into the barrel, as the pifton rofe, and returned again when it was depreffed. 2dly, Wuew the rect-duct and circulating-du@t were clofed by a half turn of the key, the pifton being previoufly put down, and the fame number of ftrokes were repeated, then on open- - ing the communication with the gage, after deprefling the pifton, the mercy did not rife nor fall in the gage; but when, after the communication with the gage was open, the pifton was once more raifed and depreffed, the mercy rofe much more than it did at any other fingle ftroke, made when the recr-pipe was open. In thefe circumftances there was no air in the barrel, during the motion of the pifton, except in the laft ftroke, by which alone the mercy was raifed. 3dly, Wuen the mercy was at the ffated height in the gage, before the pifton was raifed from the bottom, if it was ele- vated a part of its ftroke, before the recr and circulating-pipes were ftopt, by which means a part of the rarefied air in the gage-recr was drawn into the barrel, and imprifoned there on ftopping the duéts, then, after the pifton had been raifed and . depreffed [ 360 ] depreffed the fame number of times as before, and the com- munication of the barrel and gage was opened, the mercy was always found to ftand lower than it did at firft before the pifton had been worked; fhewing, as it fhould feem, that there had béen an actual fixation or abforption of air; but when another elevation of the pifton had been made, the rect-pipe being open, then the mercy ftood much higher than at firft; as if the air abforbed, had been regenerated with increafe; or as if by the working when the barrel had been clofed, the ingredients for new air had been preparing in it, when a little air from the rect fhould be admitted into it, as a generative ferment. In all thefe circumftances there was no communication be- tween the external air and that under the pifton or in the rect; and the appearances took place uniformly and repeatedly ; and the experiments were all repeated together on different days, with long intervals, and fometimes in a reverfed order: fo that whatever may have been the caufe of the phenomena, it could not have been the irruption of any air; this could never produce thefe regular effects; it could only intrude by the pifton ; in which cafe it would not always be the fame jn quantity, but it would always make the mercy afcend in the gage ; whereas in the fecond cafe juft mentioned, it did not; and in the third cafe, it always funk in it : moreover as the top of the barrel was in all thefe cafes open (the valve having been om [ 6:4 been taken off) and the air preffed with its whole weight on the top of the pifton, it would be moft likely to force an entrance by this, when there was the moft perfe€t vacuum under it, as in the fecond cafe; whereas then the merc’ never rofe in the gage, which proved that no air had got under the pifton: and in the other cafes, fince the gage-rec' was fo {mall in propor- tion to the barrel, and the air in it was thirty times rarefied before the pifton was raifed, and above one hundred and fifty times after it was raifed to the top, it muft have been always fo rare under the pifton as to have favoured the irruption of the air incumbent on it: and if air had been admitted any where but by the pifton or cock, its quantity admitted would be always the fame in a given time, which would contradi@ the appearances that took place; however the changes in the gage were computed from the altitude at which it ftood juft before the variation. Awnp if it fhould occur, that the afcent of the merc’ in the gage, was caufed by external air adhering to the fides of the barrel, and entangled in the oil or ointment there, which was expofed to the air when the pifton was put down; a part of which air, not brought up by the afcending pifton as being en- veloped in the oil, yet would expand itfelf into the vacuum under the pifton, and remain there until a paffage was opened for it into the rec’; we {hall find this will not agree with the Vou. VI. Z 2 appearances ; ; | ae] appearances; for if this circumftance took place at all, it would do fo equally in every ftroke and in all the cafes mentioned ; whereas it happened only in the firft cafe; in the fecond it did not; and in the third the contrary effe@t occurred. Moreover, the fame phenomena were exhibited, when the pump was covered by the valve, and none but greatly rarefied air was over the pifton. It muft be remembered, that all the air which once got under the pifton, muft always have remained there until it paffed into the rect; and would, if it had been produced as by this fuppofition, accumulate in every ftroke. Neither was this furreptitious air owing to the foulnefs of the barrel, it being both foul and equally fo in the circumftances in which this air raifed the mercy in the gage; in thofe in which it did not, and in thofe in which the mercy funk in it; and after the barrel was cleaned, the efle&ts were the fame as before. It feems therefore, on the view of thefe fa&ts, to be a necef- fary conclufion, that the caufe of the phenomena, is to be looked for in the barrel itfelf, and in this, from the effect pro- duced by the motion of the pifton; which effect was declared by the gage to be fometimes a production of air de novo, and fometimes an extinction or abforption of it again. To underftand thefe effefs, let it be confidered, that though the pump barrel be perfectly clean, and the pifton leathers be even [ 3963" 3] even new, and lubricated with the cleaneft oil, yet by a fingle ftroke, the oil will be tinged of a greenifh colour from its having corroded or diffolved a portion of the brafs. Brafs is a compofition of copper and zinc, either of which, being diffolved by the vitriolic acid, emits inflammable air; and diffolved by the aerial or vegetable acid, will (I fuppofe) produce fome kind of permanently elaftic air; here fuch folution of the brafs is ma- nifeft, and why, at every ftroke of the pifton, air fhould be ge- nerated ; and alfo why I have often found more of this 4ir to be produced in the pump (and the degree of rarefaGtion it could effect to be lefs) when it was clean than when ‘dirty ; as the oil being, when foul, more faturated, could diffolve lefs of the brafs; and alfo that oil proved a worfe fubftance to lubricate the pifton than hog’s-lard, becaufe (as I apprehend) the fluidity of the oil allowed every particle of it fucceffively, to come in contaét with the barrel, and to diffolve more of the metal ; which could in a lefs degree happen with the lard, from its ftiffnefs ; neither is it hard to conceive that the folution of the metal, and confequently the quantity of factitious air produced by it, fhould be more copious in a moift atmofphere than in a dry one ; when it is confidered that /ales non agunt nifi foluti ; and that all metals are in damp weather moft apt to tarnifh and contract ruft, which is a fuperficial folution of them. I believe alfo that air made moift not by what is called veficular, but by diffolved vapour (in which latter ftate I found it to be ZZ 2 moft [ 364 ] moft detrimental to the pump’s performance) is more impreg- nated with an acid principle; unlefs we may fuppofe that mere water diffolves other metals as well as iron: And this with what has preceded, will perhaps account for the different powers of the machine in different ftates of the air, and for its general failure in the perfection to be expected from the foregoing theory *. THe * Phe lower plate of the pifton was made of iron; and water or moift vapour will diffolve or decompofe iron; by which folution inflammable air is always emitted: whether this might have taken place in the prefent inftance I know not, nor whe- ther mere moifture in the air, free from any acid, could aé on the brafs as on iron, when affifted by fri€tion, or could difpofe the oil or ointment to aé on it, and to produce by a kind of calcination any decompofition of either the oil, or metal or water: what is certain is, that air is generated in greater quantity by fome fuch de- compofition in damp weather, than it is when the air is dry, and this both in fummer and winter. We are told that iron, without heat, and zinc, charcoal and oils, with heat, will decompofe water, and feparate inflammable air. Could the friction of the pifton produce the requifite heat? we are alfo told that if water were decompofed into its conftituent parts, viz. inflammable air and dephlogifticated air, this latter is or contains an acid principle, which, when uncombined with any other fubftance, would aét on moft metals; and fo the damp air loaded with moifture only, and not with any adventitious acid in the atmofphere, may be conceived to produce. effects different from thofe of dry air. ‘The paflage of the ele&tric matter however, in the atmofphere, will convert a part of the air into nitrous acid, which diffolves moft metals ; may not this abound more in the air in moift weather; moifture in the air being generally, if not always, the effe€t or confequence of eleétricity? and may not this be the caufe of the rufting of metals by damp air, and of the above-mentioned effe€ts in the pump-barrel? This I believe to be the cafe, becaufe I found that in certain ftates of the air, much aqueous vapour was introduced by it into the rect without generating any confiderable quantity of fluid which was permanently elaftic, and becaufe the difpofition of iron, &c. to ruft is not always the fame when the moifture and temperature of the air is the fame. pees seed eg he ET SEE EE? a ving [ ges. I Tue difficulty is, to account for the non-produétion of air in the fecond cafe above-mentioned, and for its apparent extinc- tion in the third. As to the former, there was indeed then almoft no air nor humidity in the barrel, and it was feparated from whatever might be in the little rect; and though there was oil, yet I found by the ointment put upon the cocks, which was ever moft and fooneft turned green in colour near the du&ts and outer edges where the air had accefs to it, than in the other parts, where it had not, that air was neceffary to make the oil a&t on the metal; (may, perhaps it is not the acid in the oil, but in the air, which is the folvent;) whence in this cafe, as there was no air in the barrel, fo there was no fuch aétion on the brafs of it. As to the phenomena in the third cafe, in which I evidently perceived a diminution of air, though I cannot explain it, being ignorant of the chymical ana- lyfis of elaftic fluids, and of thofe combinations of airs, which occafion fuch diminution, and what might be the effect of the friGtion of the pifton in this cafe, from which refulted all the phenomena ; yet what I have ftated will, as I think, authorize me to fay, that the perfeétion of the air-pump does not depend only on its mechanifm, but alfo on the materials of which it is made, and that thofe materials are the beft, on which the oleaginous and aerial acid has leaft action. Accordingly the pewter-metal pump, which I firft made, though inferior in the fize of the barrel, which was a great difadvantage, yet performed better [ 366 | better than the brafs one here defcribed, until I added to the latter the circulating-pipe, which gave it the fuperiority: but pewter, though beft to refift the aon of the oil, being too foft ; the barrel, if made of brafs, fhould be tinned in the in- fide, in the manner before defcribed, which will fomewhat im- prove it (and perhaps fubftantial gilding would be ftill better :) but if one were made of glafs, and enclofed in a metal cafe with cement; I think it could be eafily ground and _polifhed, and a pifton previoufly formed to fit it, in a metal hollow cy- linder or ring of equal bore: fuch a pifton, having its top and bottom plates tinned in the common manner, would I believe conftitute a better pump than any ever yet made, and procure more credit to the theory here laid down. In that theory I have affumed, that the degree of rarefac- tion, which can be effeéted, will depend on that which the pump is capable of making under the pifton, without regard to the fize of the rec’; and as this is not at all the cafe with refpe&t to air admitted in the working, from the pump’s being leaky, which it ever is in a greater or leffer degree; and an objection may therefore arife from the confideration that on opening the communication between the cyl’ and rec’ at every ftroke, any unextraCted air under the pifton, and any otherwife intruded, will be together diffufed in the rect and cyl’; from whence it may feem, no difference of effe& could arife from thefe ~~ i seine (4 thefe, which differ only in the manner of admiffion: to illuf- trate this, and to enable the experimenter as well as the artift, to determine whether his pump is imperfect from its ftruCture or from accident; and how far it ought to be fo from either caufe ; it is neceflary, though I have (reluctantly) been fo diffufe in this account already, to ftate the following parti- culars: Ir air be conftantly and uniformly admitted into the rec’ from this or the machine’s not being air-tight, the degree of rarefaction produced by its final aétion, will depend on the proportion between the capacities of the rec’ and cyl’; for there will always be a refiduum as air is always intruding, and in addition to former refiduums, will be the air admitted in each fucceflive ftroke: in this cafe, the lefs the rec’ is, the more perfect will be the vacuum formed *. Suppofe the rec’ and cyl’ to be equal, and the vacuum made in the latter per 2 perfe@; then half the admitted air will be at length pumped out at every ftroke let the quantity admitted be what it will: for “Hence it is not the faireft trial of a pump, to ufe a very fmall rect, or to exhauft the gage-tube inftead of a rec’; and it would be the more fallacious, if the refiduum of air under the pifton, might be variable in different ftrokes, from the de- fective and uncertain performance of valves or of any thing of valve-like ftru€ture; for as one ftroke with a large cyl" will nearly exhauft a tube ; fo a lucky ftroke or two. among many, in which the valves perform their office, will fhew a rarefaction, which might not be produced, where many were requifite to exhauft a larger rec’. [ 368°] for inftance, if in the time of each ftroke, a cubic inch of air intrudes, and the contents of the rec’ and cyl’ be fifty cubic inches each; then the refiduum in the rec’ after the firft ftroke, would be 4 an inch; to which would be added one cubic inch next admitted; and by the fubfequent ftroke, half the fum of thefe would be extracted; 1. e. the half of 15 inches (or $ of an inch) which the next addition would encreafe to 13: fo that fuppofing the rec™ at firft empty, yet fome would accumulate in every ftroke, until the refiduum would be equal to that intruding during one ftroke, viz. until both would be equal to two inches; after which one inch would intrude, and one be extracted at every ftroke: fo that the air in the rec’ could never be rarefied beyond fifty times, nor finally lefs than to that degree. Anp if the cyl’ were twice as large as the rec’ with its ducts ; the rec’ remaining as before; and the fame quantity (one cubic inch) admitted at each ftroke; then almoft 7 of this would be drawn into the cyl’ by the laft ftroke, and + remain in the rect, when the pifton was raifed to the top; fo that now the greateft rarefaction would be doubled, and equal to one hundred, which, when the rec’ and cyl’ were equal was fifty. Anp univerfally, as the capacity of the cyl' is to that of the rec’, fo is the whole intruded air during one ftroke, to the laft [ eeo: 2 laft refidual air; fo that the //s the rect is, the lefs will be the refiduum, and confequently the greater the rarefaction: but this is after the pump has exhaufted as much as it can; for in every ftroke from the commencement to the end, the air in the rec’, whether left in it, or intruded, (or its denfity which is the fame thing) is to that which remains in it after any ftroke (or its then denfity) as the fpace into which it is diffufed on the elevation of the pifton, i. e. the aggregate or fum of the capacities of the rec’ and cyl‘, is to the primitive {pace in which it was confined, i. e. to the capacity of the rec’ alone: In which analogy, each of the confequents, divided by its refpective antecedent, muft give the fame quotient, or ratio, and vice verfa; and fuch quotients mult be iz every Stroke conftant quantities, becaufe the two laft terms of the ana- logy are fuch: but the refidual air after any ftroke is the pri- mitive air with refpect to the fubfequent ftroke, hence if the firft refidual be 4 of the primitive air, the fecond will be the 3 of % (i. e. ¢) and the third, 3 of 3 of 3 (i. e. +) of the primitive air; and any refidual will be the laft term of a geometrical progreffion, the N°. of whofe terms is the No. of: ftrokes ; each term being fo often involved or multiplied into itfelf: if the firft term be as here, the quotient of the rec‘ divided by the fum of the capacities of the rect and cyl, it will exprefs what fractional fart of the primitive air the next refidual is ; and the progreflion or feries will be fractions and decreafing; and if the firft term of the feries be the quotient Vou. VI. ge ix of l ged. of the aggregate of the rect and cylr divided by the recr, — this quotient will be a whole or mixed No. exprefling the- No. of times the primitive air contains the refidual, 1. e. ex- prefling the rarefaction; and it will be the common term of a feries reciprocal of the former one and encreafing ; the value of correfponding terms in each, being equally above and below unity. This is the common theorem for determining the rare- faction after any No. of ftrokes*; but it fuppofes a perfect vacuum * By this theorem two things will eafily be found, which the experimenter muft know, viz. what is the rarefaction which ought to be produced by any Nt of ftrokes, and, and what N' of ftrokes are requifite to produce a certain degree of rarefaction; (for I have found that if the pump does not effect this in a very few more ftrokes than the theory requires, it will generally be loft labour to continue to work it, unlefs in dry weather or a dry room, one has hopes of pumping moifture out of the rec’). Both particulars may be beft found by the afcending feries ; viz. by multiplying the quotient, of the fam of the contents of the rect and cyl" (in cubical inches) divided by that of the rect (which will be a whole or mixed Nr, the fractional part of which latter, is to be reduced to a decimal) continually into itfelf, as many times as there are ftrokes, and throwing away from every product all the decimal figures to the right hand, except two or three, which will occafion no material error, and much abridge the work; which is alfo farther abridged by multiplying any power, fo produced, by itfelf, or by any other power thus before found; for the product thus arifing, will be that power whofe exponent is the /um of thofe fo multiplied ; as the cube or third power drawn into itfelf produces the fixth power; or drawn into the fifth power, produces the eighth power; and fo in any other. ‘Thus the rarefaction produced by any Nr of ftrokes will be found, being exprefled by that product or power, whofe exponent is the Nr of ftrokes; and it will alfo be feen in the procefs, what Nr of ftrokes fhould produce any given degree of rarefaétion; which may alfo be found by the converfe of this procefs, viz. by dividing any greater power found, by any leffer, for the quotient will be that power whofe exponent is the difference icclece, Snes vacuum to be made under the elevated: pifion, and that no external air intrudes; fo that when either of thefe takes place, the difference of their exponents. But-when the rect is large, and many ftrokes will be requifite to exhauft it; the operator who muft calulate what fhould be the power of his machine, may avail himfelf of the help provided for him by the noble inventor of the table of logarithms: for as in thefe the fum or difference of any two logar* is the log™ of the product or quotient of the correfponding natural N's; and that the product or quotient of a log™ (multiplied or divided by any Nr) is the log™ of that power or root of the correfponding natural Nr, whofe exponent is the multiplicator or divifor of the log™: fo whatever is effe€ted by multiplication, divifion, involution or evolution of natural N's, may be performed by addition, fubtraQion, multiplica- tion and divifion of their logs. And thus the quotient above-mentioned may be found by /ubtraéting the log™ of the recr from that of the aggregate of the rect and cyl, and then multiplying the remainder by the N° of ftrokes of the pifton; for the pro- du& will be the log™ of that Nr which expreffes the rarefaCtion ; alfo to find what Nr of ftrokes will produce any required rarefaction ; take the log™ of the Nr exprefling this rarefaction ; it is plain from what has been faid, that this log™ muft belong to that natural N', which is fuch a power of the aforefaid quotient as would be pro- duced by the fame N® of involutions, as there fhould be ftrokes of the pifton em- ployed to produce the rarefaction ; and that if this log™ were evolved as many times as we muft fuppofe its root to have been involved ; that root would be found which belongs to the original quotient by whofe involution it was produced ; and that if the log™ of the power be divided by the ]og™ of the root, the quotient will be (from the nature of log™s) the Nr exprefling how often it had been involved: there is nothing then to be done fince we know the log™ of the above-mentioned quotient, which is the root, but to divide by it the log™ of the defigned rarefaction, and the quo- tient will be the Nr of ftrokes of the pifton required. I infert this and many other things for the eafe of thofe who may be more con- verfant in experimental chemiftry than calculation, and to enable fuch (without recurring to other books) to fubjeét the air-pump to a rigorous trial; thefe will alfo be the perfons moft likely to make the beft ufe of this machine, on which account 3 A2 and L sed the unextracted and intruded air, muft be in every ftroke added to the refidual air in the rec’, as a conftant quantity; which will and to prevent the fault of the artift from being attributed to the flru@ture of the inftrument, I fhall alfo beg leave to add what follows : ‘The quantity of air in meafure, that may in any length of time have forced an entrance into the rect, may be found, and the juft allowance made for it in the de- fe&t of the pump’s performance, by ftating, as the height of the merc’ in the ftand-_ ard barom’, is to its afcent or defcent in the reduced or ftandard baromr gages, in a given time, fuppofe fix hours, fo is the whole content of the rect and its duéts, to the part thereof which would be filled in fix hours with the intruded air, if re- duced to the denfity of atmofpheric air. Alfo, to know what allowance is to be made for fuch intrufion in the defe€tive altitude of the merc’ in the gages, ftate, as fix hours, is to the time in which one ftroke is made (fuppofe half a minute) fo is the afcent or defcent of the merc’ in the reduced and ftandard baromr-gages, in fix hours; to the afcent and defcent which ought to be occafioned by the air intruded, in the time of one ftroke; then the afcent and defcent thus found, being diminifhed or increafed according to the ratio of the recr to the cyl", and deducted from and added to the altitude of the merc’ in thefe different gages, any remain- ing difference between that altitude, and what exifts at the time in the moft per- fe@tly filled ftandard or reduced barom’, is to be attributed to the imperfeCtion of the machine. If the altitude of the barom™gage, be referred to that of a ftandard-barom’ filled with merc” not boiled in the tube, though it were otherwife poured hot into it, the tube itfelf being hot, and carfully purged of air by moving an air-bubble through it, the merc’ and tube being perfe€tly clean, yet the altitude of the merc’ in fuch a ftandard-barm® mult be fuppofed to be lefs than it would be if the tube were perfectly filled, by at leaft .2%,th parts of an inch; becaufe as this air- pump never failed in a favourable ftate of the air, to raife the merc’ in the gage thus much higher than it ftood in a ftandard-baroms filled (feveral times) in the above manner; it is plain this latter will be always imperfectly filled and the height of the merc’ in it deficient, by the above quantity, and I found that it would args gel will varioufly alter every term in thefe ferics, and produce other feries, the terms of which will continually approximate to would be ftill more deficient if the merc’ were poured cold into the tube. Now fuppofing the altitude of the merc’ in the ftandard to be thirty inches, ;2£,ths of an inch is the 1200th part of the whole; and if the merc” in the gage be as high as that in the ftandard, the rarefaction is only 1200; and that in the ordinary Torri- cellian tube, is, I believe, never greater, but moft commonly lefs than this; though - from there being no air bubble apparent at the top of fuch a tube, when on inclining it the mercY afcends, one might imagine that no claftic fluid refted above the mer’: for if the tube be filled cold, there will be moifture within it, which will be con- denfed into fmall invifible particles by the preffure of the atmofphere when the tube is inclined, but will expand again in claftic vapour, deprefling the merc’, when by placing the tube vertical, that preffure is removed: and when the tube is filled hot, and fo has no moifture in it, an air-bubble will in the fame circumftances be vifible, This I found however to be partly difcharged, and the merc’ to ftand higher in it, by inclining the tube while in the ciftern (after it had ftood perpendicular and the merc’ had funk to the natural altitude) until it had afcended to the top, and taking it-full out of the ciftern, by clofing its end while immerfed in it, with my finger, then having fhaken out a drop of merc’ to allow an air-bubble to be once moved through it, this brought up with it moft part of the air which had’ been colle@ted in one bubble at the top ; after which reftoring the drop which had been taken out, and immerging it again in the ciftern, the merc” ftood in it higher than before, and I belicve from this management it would always do fo. This was done in the prefence - of Doétor Young, who from his well-known zeal for the advancement of feience, was pleafed to be prefent at a trial of the pump’s performance; at which time it fo far exhaufted a rec’ as to raife the mercY in the baromr-gage, near sth of an inch higher than it ftood at the higheft, in the barom:-tube here mentioned, of equal bore with that of the gage, and ftanding parallel and perpendicular together in the fame- -ciftern. If there be in the recr no moifture nor vapour expanfible only in vacuo, the pear-. gage (as I have always found) will correfpond with both the baromr-gages; and when the rarefaction is near 4000, the eye cannot diftinguifh the difference be-. tween. [ 374 ] to fuch numerical part or multiple of the fum of the furrep- titious and unextracted air during one firoke, as is exprefled - in tween the height of the merc’ in the latter and that in the moft perfe& ftandard- barom; becaufe the difference in their altitudes is not the hundredth part of an inch; fo that greater degrees of rarefation can be known only by the pear-gage ; which fhould therefore be ufeds and it fhould be of a proper form and accurately graduated. It is a glafs-veffel in fhape fomewhat like a pear or rather an hydro- meter, with a bulb, of a fize to contain between four and fix ounces of merc’, terminating on either fide in a tube: that below the bulb (about an inch in length) is open; the upper part or ftem (about five or fix inches long) is fealed hermetically at top; the internal diameter of one half of the length of the ftem next the bulb, fhould be about 4th of an inch, and the cavity exatly cylindrical, as likewife muft be that of the upper half ; but this latter fhould be as narrow in the bore as a middle- fized mercurial thermometer, viz. about 54th of an inch in diameter: if the ftem were of the fame dimenfions throughout, it could not, unlefs made inconyeniently long, meafure both fmall and great degrees of rarefaction: it is eafily made of the above form, by blowing a bulb on a piece of glafs-tube, about {th of an inch in diameter ; then drawing out the upper part of it (by the glafs-blower’s lamp) into a flender tube, and fealing its end: or rather by adding to the tube a piece of a thermometer tube. The ftem is faftened in a brafs pipe or cafe, haying a wide flit along its whole length, through which the merc” in the ftem is feen, and the degrees are marked on the cafe. During the exhauftion, the gage is fufpended by a flip-wire with its open end over a ciftern of merc’ within the recr, fo that the air in it is as much rarefied as that in the recr; and when the pump has been wrought zs much as is thought proper, the end of the gage is immerged in the merc’, which on the gradual readmiffion of the air, will be forced up into thé gage, and fill the bulb; all the air which had been left in the gage, rifing to the top, and being reduced nearly to the denfity of the external air; which it would be | exactly ; if the gage were placed not vertical, but horizontal. Then, as the whole cavity of the gage, is to the part at the top filled only with air; fo is the primi- | tive air which was in the gage, and alfo in the recr, to the laft refiduum in each refpeétively, or fo is the rarefa€tion produced ; hence, the ratio of the whole con- tent Le 9754] in the defcending feries by the ratio of the rect to the cylr, or the quotient of the former divided by the latter; and in the tent of the gage to that of any part of the ftem, muft be known, and it is thus found. | Let the whole of the narrow part only of the flem be filled with mercy, and this carefully fhaken out again, and weighed by the niceft balance; let the fame be again filled together with the wider part of the ftem, as far as it is cylindrical, and the contents weighed as before ; then let the whole veflel be quite filled, and the weight of the mercy it holds be found: fince the capacity of the whole gage is to that of the ftem, or any part of it, as the quantities or the weights of mercy each contains; and the content of each half of the ftem is thus known, and the ratio of the fame to the whole, and fince each half of the ftem is in itfelf cylindrical, equal parts of the /ength of each feparate fegment, will be equal portions of the content of that fegment ; i. e. the contents are as the lengths ; but the contents, and there- fore the lengths, will be inverfely as the rarefaCtion, when the refidual air in the gage is contained within them; fo that if the whole length be graduated from the upper end to the lower in any Nr of equal divifions, and the rarefaétion be known, when the mercy ftands at the loweft divifion or greateft Nt (which rarefaétion is exprefled by the quotient of the weight of the mercy filling the whoie gage, di- vided by that contained in the whole fegment) then, as the whole N* of divifions, is to that correfponding rarefaction, fo is inver/ély any other lefler Nr of divifions, ' to the rarefaction, when the mercy will ftand at fuch divifion. This method muft “be taken to graduate each half of the ftem feparately, as they are of different dia- meters ; but in eftimating the length of the wider half, as the content of the nar- rower half muft be added to it, fo the wider part muft be computed to be fo much longer than it is, as the addition of the content of the narrower part would make it, if-this were reduced to the fame diameter as that of the wider part. _ But if the ftem were to ee thus graduated by an arbitrary Nr of divifions marked on it, the rarefaction anfwering to each of them would be exprefled by odd or broken N's unfit for meafuring it; and it would ‘be difficult, when the mercy ftands not at any divifion, but between two, to find what may be nearly the rarefaction in L ame the afcending feries by the reciprocal of the fame, or by the ratio of the cylt to the rect. For the air intruded, &c. at each ftroke, that experiment; it is therefore neceflary to graduate the {tem by a decimal divifion, exprelling the rarefaction or refidual air by rooths or roooths; which may be thus done : Let, as above, the weight of the whole content of the gage be divided by that of the whole content of that fegment of the ftem, which is to be graduated; the quo- tient will exprefs the rarefaction when the mercy ftands at the loweft divifion or end of the fegment; then fay, as that quotient or rarefaction, is to the whole length of the fegment, meafured by and exprefled in equal parts, fuppofe hundredth parts of an inch; fo is inverfely the decimal, centefimal, or millefimal Nt neareft to and above the faid quotient, to the Nr of hundredth parts of an inch (to be meafured from the top of the fegment) at which the (loweft) divifion fhould be marked on it, anfwer- ing to fuch decimal, centefimal, &c. Nt exprefling the rarefaction, when the mercy will ftand at that divifion: and as the faid quotient (of the weight of the content , of the whole gage, by that of the whole fegment) to the faid length of the fegment ; fo is the fecond decimal, centefimal or millefimal N* inverfely, the fecond divifion to be marked; and fo on until the whole is graduated. Example. Let the weight of the mercy contained in the narrower or upper feg- ment, be two grains, and that in the whole gage be 1970 grains (which were the meafures of my gage): the quotient of the latter divided by the former is 985; fo that when the mercy ftood at the loweft divifion, the rarefaction was 985 ; the neareft millefimal N‘ to which is 1000: alfo the length from the top of the ftem which two grains weight of mercy filled, was 141 hundredth parts of an inch: as therefore 985 is to 141, fo is inverfely 1000 to 138, 88 hundredth parts of an inch; which is the length from the top of the ftem, at which the divifion fhould be made, where | the mercy, when ftationary, would fhew a rarefaction of 1000. In like manner as 985 : 141 :: inverfely 2000 : 69, 44 hundredth parts of an inch, the length from the top, at which the divifion anfwering to a rarefaétion of 2090 fhould be made ; which will be half the former Jength: and thus may the reft of the fegment be graduated ae ie ftroke, being the fame, its quantity muft at length be diredily as the recr; and the quantity remaining after each {ftroke, as the capacity of the rec‘ to that. of the cyl’; confequently the rarefaCtion the reciprocal of this. Hence appears the mifchief of leaving any air under the depreffed pifton; for the whole of it mu/? pafs into the rect at every ftroke; and if the rec, be fmall, the greater will be its denfity there; but if the rec’ be large, there muft be more ftrokes to exhauft it, and fo more additions to the refidual air in it; alfo lefs of it can be pumped out again: however, though no air were left under the piflon, yet if air intruded from the machine’s being leaky, its power in extracting fuch furreptitious air, would not at all correfpond with the fame in extracting the primitive air in the rec’; for with refpect to this latter, the greateft rarefaction in the cyl itfelf is given, NoLe Vi. 3B and. graduated; firft, either by a continual bife€tion of the divifions towards the top A (which will be always one extremity of the interval bifeCted) for fuch bifeétion, as it Aalves each length of the fegment, muft double the rarefaction correfponding to the lower extremity of the portion bifected, thefe portions being inverfely as their correfponding rarefactions; and fo the leaft rarefaétion (of 1000) would be conti- nually doubled ; or, fecondly, according to the above-mentioned analogy, by dividing the product of the leaft rarefa€tion, multiplied by the length of the fegment (viz. in the above cafe of 985 by 1413 or of 1000, by 138,88, which is the fame) by any greater N's expreffing fuch rarefaction as one would chufe to mark on the- fcale; for inftance, by 1500, 2500, &c.: then the quotients will be the lengths. from the top, at which thefe rarefactions fhould be marked. The lower or wider- fegment of the ftem is to be feparately graduated in the very fame manner, “f 378 | and fo likewife muft be ultimately that in the rec,, let its capacity be what it may. In this machine, the air under the pifton being conveyed away by the circulating-pipe, before the com- munication of the cyl’ with the rec’ is opened, it cannot get into the rec', and the rarefaction in the cyl’ being as it were indefinitely great, equal as above-mentioned to 176000, that in the rec’ may be indefinitely encreafed within this limit ;’ whereas the intruded and wnextraéted air under the pifton (were there any) would get into the rec’, and the part of it which could be pumped out, would depend on the pro- portion between the cyl" and rec’, juft as in_the cafe of air admitted through leaks in the machine. Ir is not therefore here pretended, that the rarefaction could be carried to an unlimited degree, even on the principles of the pump’s mechanifmj; and yet perhaps it may be prefumed that, even on thefe, its conftruction is fuperior even to that of Mr. Cuthbertfon, the only one which pretends to a power of indefinite exhauftion: and as it is only from a belief of this, that the machine here defcribed is publifhed, fo I may be permitted to obferve, (having had no opportunity of afcer- taining by trial the excellence of his, though I believe it is excellent; nor of feeing any defcription of it, but that in the Encyclopedia Britannica, juft publifhed here) that I conceive its perfection muft depend on the fuppofed circumftance of no cide he ea be 37 | no air being ever admitted into the barrel through the valve or through the perforation in the pifton: for if when the valve is open, difcharging the air pumped out, and the ex- ternal air is then prefling on the pifton with its whole weight, any of it fhould force its way through the pifton; the rec* is then open towards the barrel, and it muft pafs in an in- calculable quantity into the rec. Now the pifton in his pump has the duct through it opened at every ftroke, and it is clofed again by a conical ftopple, fupplying the place of a cock, and made air-tight only by oil; which ftopple being faftened clofe in the pifton only by the force with which the pifton is raifed, arifing from friGiion, this force or pref- fure (unlefs the pifton moves more ftiffly than one lubricated with abundance of oil, may be fuppofed to do) may fome- times be infufficient to make the ftopple firm in its focket, until it is gradually prefled by air condenfed above it, and until the valve opens, and the external air refis on the pifton; fo that if the pifton be not perfectly air-faft, fome of it muft get through into the rec’; and though the friction of the pifton fhould be a/ways fo great as to prevent this happening, yet if any fmall particle of dirt fhould have got between the ftopple and its cavity, it would remain impacted there, and be likely to render the duct permeable to air: it feems therefore too delicate a circumftance, to reft the performance of the machine on, that this duct enclofed within the barrel, and opened at every ftroke, fhould, at once, be fo clofely fhut abl Oe: again, [ ae again, as never to admit air: alfo the bafe of the flopple muft be broad, that it may be eafily difengaged from its cavity which enlarges the furface or joint that is to be made im- pervious to air: this {topple is in reality a kind of valve, refting on the extent of its whole conical furface as a bafe, and it was before obferved. how dificult it is to make a valve air- tight, when the fmalleft folid particle of duft, &c. will prevent the contact of the furfaces though ever fo extenfive, and that | the danger of this encreafes with the enlargement of the fur- face ; and that were it not from this natural imperfection of valves, Mr. Smeaton’s air-pump ought to be inferior to none; its mode of action being precifely the fame as that of Mr. Cuthbertfon, except that in the latter, metallic valves or ftop- ples are fubftituted for the flexible valves in the former: whereas the excellence of a ftop-cock is, that the furfaces of the key and fhell are never /efarated: no dirt can get between them, nor oil be blown away ; but ftiff ointment may be ap- plied inftead of oil, to make them air-faft: to the ftop-cock therefore, and the unperforatated pifton, I attribute the excel- lence of the pump here defcribed above others conftituted on the like principle; for in it, though air fhould get in through the upper valve, é&c. it cannot get into the rec’; whereas in the others, if air infinuates through the pifton, it muft do fo; and if to prevent this, in Mr. Cuthbertfon’s machine, it were provided to have a pool of oil above the pifton, I imagine it [: ga? J it would not be a perfect remedy, even though I were mif- taken in the apprehenfion that fuch abundance of oil, would generate a greater quantity of fadctitious air: for when the valve or du‘t in the pion is open, the oil muft defcend through it with all the impurities that may be in it; and if the oil above the upper valve can defcend into the barrel, the impurities in it will be added, which if they adhered to the ftopple or valve in the pifton, would be likely to occafion its admitting air; alfo the oil being thus churned in the barrel, would perhaps entangle air, efpecially when vifcid, as it will become by corroding the brafs. In this pump, it is not ne- ceflary to ufe oil, efpecially if the barrel be made of pewter; for then the hog’s-lard or ointment ufed will not lofe its lu- bricity; in fact fluid oil is inadmiffible, for it would certainly render the cock, though formed and ground with care (how much more then a valve?) not air-tight; the air forcing a paffage even through the oil within the joint, if this be not very clofe, which in a.cock whofe key is in continual mo- tion cannot always be ; nor is this hard to conceive; for where ever a column of merc’ as high as that in the barom’,, refting over a joint or chafm, could force a paffage, the air will do the fame, and perhaps more powerfully. Ir will appear then that there is no kind of limitation in the pump here defcribed, which is not in any other; for in the ks goa the others, whatever air is left above the pifton andifcHardedl or enters by the valves in the pifton or top of the pump, is diffufed in the cyl’ under the pifton (fuppofe it could not get “into the rec’); and the pifton being put down, whatever cavi- ties are under it, have the fame quantity of it refting there, when the rec’ is opened, as in this pump; and if air infinu- ates by the perforated pifton, it is an inconvenience from which this is fecure; alfo it condenfes with a fingle barrel, and with- out any additional parts, which none other can do. It might be conitruéted with two barrels, and the two cocks might be turned together by one handle, in a manner well known and in ufe; but in this form, it would neither be convenient nor portable; however in the form here defcribed, the fingle barrel may be made fo large, as to exhauft as faft as two of ufual fize; and it is eafy to conceive from the theory, that the large- nefs of the barrel is every way an advantage, for the cavities under the pifton need not be proportionably enlarged. As it is fcarely poffible to prevent the intrufion of fome air while the pump is working, and as the quantity fo in- truded, will be proportional to the time of exhaufting, which time would be injudicioufly lengthened, if the panfe at each ftroke were made longer than 1s neceflary for the air to pafs from the rect to the cyl‘ until its denfity is the fame in both in any degree of the rarefaction ; it would be a defirable thing OE See OP te ieee thing to know whether the air pafles into the cylt with a velocity variable according to its denfity, and in what ratio. The time of the air’s paflage cannot be difcovered by the mo- tion of the merc’ in the gage; for when the air is much ra- refied, this motion during one ftroke, is fo little as to be im- perceptible, and when it is greater, the merc” vibrates fo much in the tube, and undulates fo long, after the air is pafled into the barrel, that the term of its paflage cannot be difcovered: it muft be found by reafoning on phyfical principles ; and the enquiry is to be profecuted on thefe data or affumptions, that . the meafures of the rect, duct and cyl are invariable quanti- ties; and that in the cyl* there is a perfe€t vacuum, into which the air in the rec’ is to expand itfelf, after the pifton is raifed to the top. Tue conftruction of this machine was primarily undertaken with a view to difcover whether the Aurora Borealis is an eleétrical phenomenon; whether we could in /arge exhaufted veflels exhibit its genuine appearance; what muft be the ra- rity of the air in which it is vifible, and the heights in the atmofphere, wherein it exifts, and within which it is (if at all) confined, &c. Thefe enquiries however I did not profecute; yet the reader will not I hope be difpleafed at my extend- ing this long paper ftill farther by an account of the follow- ing experiments relative to them, though they are inconclufive ; efpecially, [ 384°] efpecially, as from the difficulty of making a perfect vacuum in the ftandard-barom’, and of comparing the altitude of the merc’ which ought to be in it, with that in the gage, I found the exhibition of the genuine Aurora Borealis, the moft cer- tain mark of great rarefaction, as not requiring a comparifon of the barom' and: pear gages. I connectep with the rec’ (which was ufed in the fore- going trials of the pump’s exhaufting power, and whofe capa- city was 122 cubic inches) by means of a brafs box fixed on the top of it, one end of a glafs-tube twenty-one inches long and 2 of an inch in diameter, furnifhed at one end with a brafs cap terminating in an open pipe, which was inferted la- terally into the box of the recr: the other end of the tube was clofed fometimes with a plate of brafs cemented on it, and at other times with a glafs plate; both which afforded the fame appearances. The tube was extended horizontally, being fupported at the end remote from the rect by a glafs- pillar; and it was exhaufted with the rect; during the procefs of which, I applied to the tube in the dark, an electrified glafs-tube, which produced the following appearances in re- peated trials, Tue tube fhewed no electricity from prefenting to it the excited tube, until the rarefaction was about 100; then there appeared within it denfe and bright corufcations, but they were 5 ee Aang! [ © 385°] were interrupted, not extending the whole length of the tube, neither would they appear when the excited tube was pre- fented to the end, but when to the middle only of the ex- haufted one; and*it was remarkable, that corufcations exactly refembling the above, in their form, &c. except that they ap- peared when the excited tube touched any part of the other one, and that they were fo faint as to be fcarce vifible in a room made quite dark, firft begax to appear, when the rare- faction, as fhewn by the pear-gage, was 4000: the ftandard- barom™ above-mentioned being, at the fame time, at 30,1, and the baromr-gage at 30,12. When the rarefaction was carried beyond this, fo as to raife the merc’ in the baromr- gage, a little higher in feveral trials, and to advance that fhewn by the pear-gage fometimes up to 26000, the appear- ances were the fame, but the gleams of light ftill fainter; they were a colourlefs pale white; the corufcations, which were {carce vifible, /eemed conical pointed, waving or ftreaked, and did not extend the whole length of the tube, exhibiting the moft perfect refemblance of the thin pale coloured Aurora Borealis. In the intermediate degrees of rarefaction, between 100, and 4000 (indicated as above by the gages) the phenomena were as follows: Art 300, the prefentation of the excited tube wear to the exhaufted one, firft occafioned’ continued flafhes in it, filling Vox, VI. 3G its f sgpe7) its whole length; but this only when prefented to the middle, not the ends, this latter firft occurred when the rarefaction was greater; and then at every approach and receffion of the excited tube, without frefh excitation, even for fifty times to- gether, and with fcarce any diminution of brightnefs to the laft, or fign of decay until I ceafed to prefent it, fuch flafhes were produced; they filled the whole tube, but that they were brighter and of fmaller diameter at the middle of its length ; they were alfo not only denfer but of a more yellow colour, than the faint corufcations before defcribed: but the moft diftindtive difference between both thefe kinds, and indicating the great degree of rarefaction neceflary for the exhibition of the former was, that when /bey appeared, the excited tube produced no light at all in the other, except at the jf? prefentation and aétual conta with it: from which I concluded (too ftupidly and haftily) that the electricity of the former was completely difcharged, and that the more perfect vacuum, was a more perfe&t conductor of electricity, even more fo than metals: but though I am yet of opinion that the fact was fo, yet it may, for ought I know, be poffible, that the tube produced no light after the firft prefentation, not becaufe it was quite dif- charged, but becaufe its electricity, leffened by the firft dif- charge, would not pafs nor be conducted by the more perfect vacuum in the other tube; or, if it burns, deftroys, or changes into nitrous acid the air which conducts it, what remained an. [3987 4] in the tube, &c. may by the firft explofion have been fo con- fumed. Bur whether this or the contrary be the fact, the experi- - ments have fatisfied me, that the Aurora Eorealis is an elect- rical phenomenon ; that, (at leaft when it is faint and of a pale colour) it cannot appear in air lefs rarefied than near 4000 times *; and confequently that its neareft diftance from the earth is about forty-five miles (according to Dodtor Halley’s table of the air’s rarefaction at different altitudes’; that in air rarefied more than 26000 times, it would not be vifible, and therefore its greatett diftance is about fifty miles, (by the fame table): I am notwithftanding fenfible it may be lefs or greater: it may be /és, for though my pear-gage fhewed that degree of rarefaction, I pretend not to fay what the rarefaction really was; it might be fix times lefs; but it could not, I think, "be known by any gage, what it was, as I am perfuaded, that the difference of altitude between my baromt-gage, and that of the moft perfeét baromr, would at that time be impercep- tible to the eye: it may be greater, for a quantity or ftratum of electric matter 3 of am inch in thicknefs, as in my tube, may be invifible, when one of the fame denfity, but many 7 Oe mailes * Perhaps becaufe denfer air, affording too much -refiftance to its paflage, i. e. “Sbeing a worfe conductor, it takes a circuit by the rarer air in the higher regions, _ from the place where it is pofitive, to that where negative. [ 388 ] miles in thicknefs, as in the atmofphere, may be quite lumi- nous, though the light from it be diminifhed by the diftance from the eye. The light was fainter in every degree of the rarefaction, when there was moifture in the tube, from my having put a little bit of wet leather in the rect (which how- ever was dried in the exhauftion;) and this inclines me to think, that it is a/v burnt and exploded in its paflage which makes the electric matter vifible; and that were there no air, if it could pafs at all, it would not be luminous: for though we were to fuppofe, that the electric matter would be ren- dered luminous by mere watery vapour without any air; yet I imagine the extreme cold, in very elevated regions of the atmofphere, would freeze this vapour, as it does near the earth, and condenfe it into icicles, deftroying its elafticity; fo that it could not afcend, by its expanfive force, beyond that height, in which there would {till be air, though of great tenuity : if thefe things be fo, the Aurora Borealis is confined within. our atmofphere. N. B. Tue pear-gage with its metal cafe and wire, being | within the rec’ prevented me from knowing what would be the: appearance of the electric matter in pafling through it. I HAD not an electrical machine mounted; fo could not im thefe experiments try the effect of continual electrification, and 1t: [3897] it has not been in my power to repeat them: if it had I would not take the liberty to offer them to the public fo im- perfeét: they are prefented as hints to direct the enquiries of others, who are fo circumftanced as to be able to profecute: them, and alfo as fuggefting perhaps the beft teft of the: pmeumatic engine’s exhaufting power. ee eae a ee oe ad (eat ge See On the APPLICATION of 2 CONVERGING SERIES ¢o the CONSTRUCTION of LOGARITHMS, By Mr. WILLIAM. ALLMAN, A.B. Trinity College, Dublin. From a due confideration of Newton’s binomial theorem, it may be fhewn, that the logarithm of the ratio of one number to another, according to Napier’s fyftem, is equal to the fum ops acu galt Feb od ad Setcdl wats hope? m prefenting the difference, and » the fum of the numbers: which logarithm of qs and of the feries, pei the ratio, added to, or fubtra@ed from, the logarithm of the antecedent, according as the antecedent is lefs, or greater, than the confequent, gives the logarithm of the confequent. In any fyftem whatever, the logarithm of the ratio of one number to another is equal to the fum of this feries,. opd 2pd? 2pd> — 2pd’ fe ae SS ss “= + &c. where @expreffes the difference, and Read May: 21, 1796, [gon 4 and s the fum of the numbers, as before; and # the quote found upon dividing, the logarithm of fome number according to that fyftem, by Napier’s logarithm of the fame number. Ir is evident, that the lefs @ is in refpe@ of s, the fafter the feries will converge ; fo that the conftruGion of the logarithms of prime numbers, will be rendered more eafy and expeditious, by finding two great products, which fhall have a {mall difference ; one of which products, fhall be compofed entirely of factors whofe logarithms are already known, and the other, fhall have in its compofition, the number whofe logarithm is fought, or fome power of that number; and, if it have any other factors, the lo- garithms of thefe factors muft be previoufly knewn. Havine found fuch produéts, we may, by ‘the application of the above-mentioned feries, find the logarithm of their ratio to each other; which is the fame with the logarithm of the ratio of the firft produa (or that which is compofed entirely of faGtors whofe logarithms are known) divided by the factor or compound of faGors whofe logarithms are known ‘(if there be any fuch) in the latter product, to the prime number whofe logarithm is fought, or fome power of that number. Then, from the loga- rithm of the antecedent, and ‘the logarithm of the ratio, we have, hy addition or fubtraGtion, the logarithm of the confequent. I PROPOSE ee 3088] I provoss now to fhew, how produdts of this nature may be found—and firft, when they rife to two dimenfions only, or confift each of two factors. Let the two factors of one produ@t be x +a, and x +4; +a that product will then be x’ ey x + ab; if we affume for two other factors, the quantities x and x # 3 we get the pro-- duct x? Mie which differs from the firft produ@ by ad, the loweft term of that produét.—Here it is obvious, 1. Tuat the nearer ab approaches to o, ceteris paribus, the- fafter will the feries converge. 2. Tuat if a+ be made equal to o there will be but three different factors, for x BP will then be equal to x. 3. Ir may be obferved with refpe@ to produéts of any di- menfions whatever, that the fame factor muft not enter both products, for this would ferve only to raife the terms of the fraction = 5 not to diminifh its value. 4. Hiner it follows, that in fearching for thefe products, . ‘we muft,fuppofe one of them to confift entirely of compound fators. Vou, VI. 3-D: 5eTt L 304] 5. Ir is convenient that they differ in their loweft terms only ; otherwife the quote found upon dividing their fum by their. difference (by the increafe or decreafe of which the convergency of the feries is accelerated or retarded) would be of a lower dimenfion than either produ@; fo that we would be at the trouble of finding produéts of a higher dimenfion, when perhaps produdts might be found of the fame dimention with the quote =A differing only in their loweft terms. Besipes, if this compound difference (or fome compound quan- tity which is of the fame dimenfion with this difference and an aliquot part of it) do not meafure either product, there is this additional inconvenience, namely, that the numerator of the fration is uncertain, being afic&ted by the variable quantity « ; whereas if the difference of the produ€ts be the fame with the difference of their abfolute terms, it is in no manner affected LK, 2 ae a by the variation of x, and the numerator of the fraction > may fometimes be reduced to unity, which is convenient in the ap- plication of the feries to practice. Ir the compound difference (or fome aliquot part of it, and of the fame dimenfions with it) meafure either produ, it is a fure fign that there are produdts of an inferior dimenfion every whit as advantageous for the conftruction of logarithms. From all i 3657] all which we may fee the utility of fo adapting the pro- duéts to each other, that they may differ in their loweft terms only. 6. Ir is ufeful, when one of the products only confifts en- tirely of compound factors, that the fecond terms of thefe fadtors be as fmall numbers as poffible ; for the continual produ@t of all thefe fecond terms conftitutes in this cafe the difference of the produits. This precaution is alfo ufeful, when both produ€ts confift entirely of compound factors, and their loweft terms are, at the fame time, affeCted with contrary figns. For the differ- ence of the products in this cafe is equal to the fum of two numbers which are produced by the continual multiplication of the fecond terms of the factors of each produ@ refpetively, no regard being paid to their figns. Susstiture in the above produdts of two dimenfions, 1 for a, and — 1 for ’(by which means we fhall have ab =— 1, and a+ 6 =o) the products will then be *?—1, and «?, whofe difference is unity and which confift of but three different factors »x—1, x+1 and *. Tue logarithms of any two of thefe factors being given that of the third may be found by the application of the above mentioned feries ; om being in this cafe equal to ae gD 24 Bor TL: 396 J 4 Bur Dr. Halley has already *ufficiently explained this method of applying the feries. To come then in the next place to produ@s of three dimen- fions, or which confift each of three faGtors— Ler x3 +qx?+7x-+5 reprefent one of fuch produds, and let its faGors be denoted by x +a, «+6 and «+c. Then if the fign of the fecond term in each faGtor be changed, the fign of the firft term in each being unvaried, the produc will be x3—gx?+rx—s;, make g, or a+6+e=0,; we then fhall have two produats differing from each other by 25 = 2abe ; fo that if c be taken equal to a+ 6 with their figns changed, the produts will differ from each other in their loweft terms only; but this difference, and at the fame time the number of different fa€tors, will be the leaft poffible (fraGtional numbers being fet afide) if we make a=4 and each of them equal to unity; the products then with their refpective faGors will be, x3 x —38—2= «+ 1? xXx—2 and x3 y— 3x+ 2=x—1|?xx+25 whofe difference never exceeds four in whatever manner x be varied ; and the number of different fators is alfo reduced to four. Tuat the number of different faGtors of fuch produéts as are required of three dimenfions, cannot be lefs than four, may be thus demonftrated ; if there were but three different faCtors one [ 307 ] one product fhould have all its factors equal to each other; the other, two of the three factors equal to each other. Let #3 -+ 3ax? + 3a*x + a3 (= x + a)?) reprefent one of the produds, and #3 if - x # oe x + b¢ (= « +8)? x* +c) the other. Then fince thefe products ought to differ in their loweft terms only, we have 3a = 2b +c, and b? + 2bc = 3a’, by comparing thefe equations with each other we find 44* + 4bc + c* = 3b* + 6bc ~ b* = 2bc—s* and b=c; fo that thefe produas will be both cubes, or can have but two different faCtors; but fince 3a= 2b +c, i. e. (from what has been already proved) 3a = 36, we have a=6; by which it appears that not only the fame faGor en- ters both products (which has been already {hewn to be ufelefs) but both products confift entirely of the fame fa€tor equally re- peated and are in effect ome and the fame produét. In the application of the produdts #3—3x—2 and «!—3w +4 2, to the conftruction. of logarithms the fraction © of the feries Ss mae be made equal to - —== Of ee Paton , axe TIP xXwx-2+ 4 2x W— ilixx 2-4 I I or in its loweft terms « + 17 x x—2 ft or x—ll? xx + 2 ee ee Ta E A THE [: gope.t Tue feries will then exhibit the logarithm of the ratio of = ay Ce a io ee a he ox — 7 |2 i } . wr 1) eae 1/7, or of = [ x *-2. +2; of w+ i)t) —-—, “+2 a oy ee ak “—I; x 7 oF of x— 2° | x x—2; where, the antecedents w+) being lefs than the confequents, if the logarithm of «+ 1,* or of x—2 be required, the fum of the above feries is to be fub- a eee ae or of —2 K+ 1 : —— x tracted from the logarithm of x— 1, x = refpectively. Tue fmaller the fa@tor, by which any given number whofe logarithm is fought, is denoted, the fafter will the feries con- verge. For the abfolute value of each fa€tor, and therefore the va- Iue of each produ@, is by this means encreafed.—Then fince the fum of the produdts is increafed, their difference being un- varied, the feries will converge fafter. Tsovcn we have this advantage by making a fmaller faQor reprefent the number whofe logarithm is required, yet it may be objected, that this implies the neceflity of being previoufly acquainted with the logarithms of greater numbers. But the difficulty of this, will in the prefent cafe, be removed, if the prime number whofe logarithm is required (that number being underftood. [ 399 ] “underftood to exceed 3) be denoted by the factor x —1, when the number next lefs is meafured by 3; or by the factor ~—z, when the number next greater is meafured by 3. Or the four different factors, two are always even and two odd, the number whofe logarithm is fought being odd, there can be but one odd number greater than the given one, whofe logarithm it is neceffary to be previoufly acquainted with, in order to find the logarithm required. This number exceeds the given one by 2, when the given one is denoted by x—1; by 4 when it is denoted by x—2; fo that this odd factor, greater than that which reprefents the number whofe logarithm is fought, will be meafured by 3, if the given number be reprefented by *«—1, and at the fame time, the number next lefs be meafured by 3; or if the given number be reprefented by »—2, and the number next greater be meafured by 3; we then fhall have all the fa@ors, except the number whofe logarithm is fought, com- pofite. That their component parts will be-lefs than that num- ber, is evident from the nature of the factors. Ir any one withes rather conftantly to ufe the fame notation, which may perhaps be defirable, in conilruating a table of logarithms, for the fake of avoiding confufion ; when a prime fafor occurs greater than that whofe logarithm is fought, fo that the logarithm cannot be found immediately, let the logarithm of [ 400 ] of that prime number be fought by the fame method as that which was to be ufed for the difcovery of the firtt logarithm ; and no prime factor will occur to prevent the logarithm of this number from being found immediately—For, fince, when the faQor «—1 is taken to denote the prime number whofe. logarithm is fought, the other odd fa€tor exceeds it by 2; and when the fa€tor «—2 is taken to denote it, the remaining odd factor exceeds it by 4; if the number exceeding the given one, when denoted by the falor «—1, by two, or when de- noted by the factor x—2, by 4, be compofite, the logarithm may be found immediately : But if, in the firft cafe, the num- ber exceeding the given one by 2, be prime, the number which exceeds that number by 2 (or the given one by 4) will be compofite—and if in the other cafe, the number exceeding the given one by 4 be prime, the number which exceeds that number by 4 (or the given one by 8) will be compofite—fo that the method of notation remaining unvaried, no prime faGor will occur to prevent the logarithm of that prime number (by the intervention of which, the logarithm firft fought is to be deduced) from being found immediately. Ir is cafy to fhew, that, if the number which exceeds any prime number greater than 3, by 2, be prime, the number which exceeds it by 4, will be compofite ; or, if the number which exceeds it by 4 be prime, that mumber which exceeds _ it. [ gor ] it by 8 will be compofite; for, fince neither the given num- ber, nor the number which exceeds it by 2, is meafured by 3, according to the firft fuppofition, the number which exceeds the given one by unity, will be meafured by 3 (for 3 mutt neceffarily meafure one of three fucceflive numbers) and there- fore the number exceeding the given one by 4 will be mea- fured by 3. Since, in the fecond place, either the number which exceeds the given one by 2, or that which exceeds it by 4 is meafured by 3; if the number which exceeds it by 4 be prime, that which exceeds it by 2, and therefore, that alfo which exceeds it by 8, will be meafured by 3. 5 Ir were eafy to thew, that, in the application of the above products of three dimenfions, differing by 4, to the conftruc- tion of logarithms, the numerator of the faction. Seduced to £ : i ad ema its loweft terms is always unity. In this cafe —= ————_—___- f can See Sesh neato) ie oe Now, fince either y+ 1,*,or ~— 2, is even, 2 will meafure their product increafed by 2. Rane ck pe fie = +1=y;the general feries will then be Make ‘reduced to this form, aes 28 4 te a a5 in aaa &c. Half the POO ait pager eT ‘s Vou. VI. 3E fum [ 402 ] fum of this feries will exprefs the logarithm of the ratio of ere ale rinse Hate seh 42 Sy sc Sh See Tor of eee eT nS #41 X pao NaN Ir two products of any dimenfions whatever, differ in their loweft terms only, and the fecond terms of all the factors in each product be equally multiplied; the produas. of the fadtors fo changed will ftill differ in their loweft terms only, but the differ- ence in this cafe will be the difference of the original produdts mul- tiplied into the common multiplier of the fecond terms of the faGtors raifed to the fame dimenfion with the higheft term of either produ. For the terms of the original produdts, beginning with the higheft term in each, are refpectively multiplied by the terms of a geometrical progreffion, whofe firft term is unity, and fecond the common multiplier; fo that the terms of the latter products, which are correfpondent to terms that were equal in the firft produats, will be equal to each other; and the terms of the latter, correfpondent to thofe which differed in the firft produéts, will have a difference equal to the difference of the terms in the firft products, multiplied by the correfpondent term of the geometrical progreffion above-mentioned. Ler m denote the common multiplier, and » the index of the higheft term in the produ@s; the geometrical progreffion will ftand thus, 1, m, m*, m?, &c.,m”. Let the latter products be both acid be ia - 4] i 4 [ .4og. ] both divided by m”; the quotes will have the fame ratio as the latter produas, and the fame difference as the fifft produdts have. Now the terms of the firft produés multiplied by the rhage : F thi fs I I I I corretpondent terms, of this progresfion, Os NET Peary Tae &c. I : . ae Wi’ me’ mi’ | (i. e. the terms of the preceding progteffion divided by m") gives the correfpondent terms of the quotes; fo that if m be greater than 1, the terms of the quotes will be lefs than the terms of the firft products refpeGively—The contrary to this happens, if m be a proper fraCion—In this laft cafe then, the fum of the quotes being greater than that of the firft produas, while the difference is the fame; and the difference of the quotes having the fame ratio to their fum, as the difference of the latter produdts to their fum, it appears that the difference of the latter produdts bears a lefs ratio to their fum, than the difference of the firft produ@ts bears to their fum; fo that if the fecond terms of the faGors of products differing in their loweft terms only, be all multiplied by the fame proper fraction, the feries expreffing the logarithm of the ratio of the produéts to each other will con- ¥ verge fafter. Iv the fecond terms of the factors of products differing in their loweft terms only, be equally increafed by addition or gE 2 diminithed [ 404 ] diminifhed by fubtraGion, the produ@s will ftill have the fame difference. Let the coefficients of the 2d, 3d, 4th, 5th, &c. terms of the given products be dénbica by 9, 7, 5, ¢, v, &c. refpectively ; the index of the higheft term by w, and the quantity, whether affirmative or negative, which is to be added to each of the fecond _ terms of the factors, by m, the coefficients of the correfpondent terms , n nm n-t a n-1l ne-2 of the new produdts will be, —-7#, —: ——.m*) —. esr I Te ho rota 3 nm Nal n-2% nN-3 n-t m-I N-2 er A it q —. —— — qm I 2 3 4 &c, I I: 2 - - - 2 jl - Bok EES aan! i rm I 2 I = a= Ss ites ~ Sm? I 2 fle 3m Wuence it appears that in whatfoever term the given products begin to differ from each other in the correfpondent one, will the new produéts alfo begin to differ from each other, and by the fame quantity. If the fecond terms of the factors be egually increafed, the fum of the products will be increafed, fo that . (if : ‘ [ 405 ] (if the abfolute value of the leading term be unvaried) the feries will converge fafter. If then the given number whofe logarithm is fought, be denoted by a fimple quantity x, the lower the place which the fimple quantity occupies among the faCors, or the fewer refidual faGtors there are, the fafter will the feries con- “verge.—Now whatever compound quantity be fubftituted for this fimple one, the efie& will be the fame, viz. that the convergency of the feries is quicker or flower, the lower or higher the place which the given number occupies in the rank of faCors. Bur fince it is ufeful that the difference of the greateft and leaft factor fhould be as fmall as poffible (as follows from what has been obferved before) the advantage of a {wifter convergency, will, generally fpeaking, be in a lefs degree in this cafe, than the fimilar advantage which arifes from multiplying the fecond term of each faGor by an aliquot fraGtion, or (which amounts to the fame thing) the leading term of each faétor by the reciprocal integer. From what has been {faid it follows, that if, of the firft and fecond, fourth and fifth terms of an arithmetical progreflion, the logarithms of any three be given, the logarithm of the remaining term may be found. If the common difference of the progref- fion be unity, = will be equal to an aliquot fraction, whofe denominator [ “406 J denominater exceeds, by 1, half the produ&t, whofe factors are the firft or leaft term of the progreffion, and the fquare of the fourth term; if the common difference be any other number, age. 2 a fuppofe m; —— will be equal to that aliquot fraQion above de- fcribed, multiplied by m?. The general feries will then exprefs the logarithm of the ratio which the produa of the firft term into the fquare of the fourth, bears to the product of the fifth term into the fquare of the fecond, This, fince the arithmetical progreffion is an increafing one, will be a ratio of leffer in- equality. ; - Ir alfo appears, that there is no reftri€lion fet on finding the moft convenient products, by the fuppofition that one of them is defeétive in its loweft term. And that, in the inveftigation of produ@s, if we find fecond terms which (all of them being equally diminifhed fo that one may vanifh) will then admit a common meafure, the produéts may then be reduced to a fmaller difference. Ler xt + qx? tre? sx +e reprefent a product of four dimen- fions, and let s be = 0, two factors are to be found, whofe produ& fhall be x* + gx+yr; this being multiplied by «’ will give the pro- du@t x* + 9x3 +rx*, differing from the firft product by ¢ the loweft term [ ar | term of that produ. Suppofe one of the factors to be x +m; the +7 = other will be x —m. Then gm—m*=r-sm= a+ py ee ‘; -r,and 2 q-m= it we Let the factors of the produ wx* + gx? + 4 rx? +sxtibex+ta,w+6, xtc, and x«+d.- And the faors of the produ& «*+q9x+r7r will be, w+ atb4cec4a + 2 pe hays — ab — ac — ad — be — bd —cd,, or (which is s+ atb+ctd an até—c—q): 2 vw: rere =ab'— ca: the fame ae ¢ - —— Thefe ads will be always rational (whatever may be the values of a, 6, c, and d, provided they be rational) if we make ab ad = o. Then fince s, or abc + abd + acd+bcd=0, we have Aye mine And dividing. by cd> and multi- plying by the denominators, be +d+cd—b*. Therefore be —bd b> — be c+d aay ayn 9 ar a= rp and b = —,— ay ee abe ty) OG that if & be rational, c, d, and a (or — e ) will alfo be rational. ~ Buté will be rational, if ¢* + 6cd 4+ d* be a perfe@ fquare. Make c*+6cd+d*=c*. Then 6cd+d*=oand d=- 6c. Univerfally, putting c + 6cd+ d*=c* +2en+n°, we have 6d -- 22, c= n+ ~ dq? and. [ 408 | and eee Only we muft not aflume x»=d or =--d; -- 20 or= 3¢, for on the two firft affumptions we fhould get 6d-- 2. c=0, i.e. either 4dc, or 8de =o; on the third affumption, n* -- d*=0, i.e. 8d* =0,; fo that either c or d would be equal to 0; contrary to what has been above laid down. Make c=--1 andd= 6; then d—2 or 3, leth=2; and we fhall havea=3. And m, as alfo g -- m, = 5. Tuen we have the fators~—1, »+ 2, + 3, x + 6, whofe product fhall be deficient in its penultimate term, and_ {hall differ by 36 its loweft term, from the produc of the factors x* and «+ §*; as will appear by their multiplication. x +6 Ban nia et 5 =H Side oR) x +ox+18 x+2 x” 4.10% 4 25 — x? eRe 6 v4.36 ee x—I - xt TO 48-25 a xt -+ 10 #3 + 25 x* 4 — 36 In [ 469 ] Iw the fecond product, we may obferve that there are but two different factors. ‘That the faor x +m muft be equal to the factor at f or that is equal to ‘, will appear if it be fhewn a ficlgtas —ab—ed =o; which may be done that 2 — pr or 4 in the following manner:—Since ab + cd = 0, we alfo have by multiplication, a7 4 acd=0, ab? 4bed=0, abe 4c*d=o, and abd 4. cd* =0. By comparing thefe four equations feverally with the equation, abe + abd + acd + bcd=o0, we find, a@=ac+ad+cd 6? = be + bd + cd ec =ab+act be d*=ab+ad+bd . a Hb pet +d? =20b+ 2act+ 2ad+ 2b +2abd+2cd. And eee: fae aah dedi seinen —ab—cd=o. Q; E. D. . Tuat the number of different factors in both produ@s can- _ not be lefs than fix, without introducing furds, may be fhewn as follows: : Vou. VI. 3. 8 First, [ fo ] First, neither produét can have three faétors alike—Since, by a change in all the fecond terms, any factor may be reduced to . afimple expreffion ; let the fa€tor which occurs three times be denoted by x, the product will then be deficient in the three loweft terms—the other product that it may differ from this by its loweft term only, muft want the penultimate and antepenulti- mate terms; at the fame time, retaining the laft; fo that two of its fators will be impofiible. Tue above is evidently applicable to produdts of all dimen- fions; and from this immediately follows what has been proved above, relative to the leaft number of different faCtors in produéts of three dimenfions. Hence it appears that the leaft poflible number of different faGors will not be lefs than the index of the higheft term in either produa, if that index be even—if it be odd, the leaft poffible number of different products will be greater than the index. WueEnce it follows that the number of different faGtors in the prefent cafe cannot poflibly be lefs than four. Bur in the next place, the number of different factors cannot without introducing furds, be lefs than fix. For Ors salbbicinbinatisn ture cae eee f goa “4 For if we fuppofe but five different faGtors in both produdts, -_ two of them muft be in one produ@, and three in the other, fince neither produ& can confift entirely of equal fa&tors, as appears from the above, and neither of thofe two factors muft be taken three times. Let the. factors of one produ&t then be be x* and »+m/\*, and the faétors of the other x+a, x + 4, x+c*. The refpective produ@s will be «+ + 2 mx3 + m* x*, and SUN abs +a age + 2abce xe +b x3 x? .+- ac? #4 abc?.. That thefe products + 2bc : + 2¢ athe + be may differ only in the loweft term thefe three limitations are neceflary. We muft make firft, 2+5+2c= 2m, fecondly, ab + 2ae + 2be+ c?=m*; and thirdly, 2abc + ac? + bc? =o. From the pal firft one we have, a? 4+ 2ab + b> + 4ac + abe + 4c* (= 4m’) = 4ab + Bae + 8be +.4c* va —2ab+ b> = 4a+4bxc. From the third equation, we have 2ab+ ac + bc=o, _ 2ab a+b equation a* — 2ab + 5? = 4a + 46x¢, there arifes a*—2ab + 6*-= 3F 2 Hie — 82é, This value of ¢ being fubftituted in the -_¢e=za— [ 4m] — 8ah, +: a* = — 6ba — b* and a = — 36+ 2b ¥ 2; fo that either 8, or a, will be embarraffed with a furd. Ler the prime number whofe logarithm is fought by the ap- plication of the above produ€ts of four dimenfions, be denoted by x + 2, if the number next greater is meafured by 3; by x +3, if the number next lefs be meafured by 3—and then all the other faCtors will be compofite. For in the firft cafe, x — 1 will be meafured by 2; *, by 3; » +3, by both 2 and 3; x+5, by 2; and x + 6, by 3: In the other cafe, x—1, will be meafured by 3; *, by2; ~+2, by both 2 and 3; x+5, by 3; and x + 6, by 2. Ir the prime number, whofe logarithm is fought, were de- noted by any other faCtor than x + 2, or x + 3, other divifors, befides 2 and 3, fhould come into confideration; for in any cafe there would be at leaft another faGtor, which, neither 2, nor 3, would meafure. Usrnc then the notation direéted above, the ratio of x* x « + 5}? eae Sea Se ae pena x, + 2 fo, ¥ = 1 KEK 2S Ke 3K REE; & iiss 4 ee f ee] “7, w+ 5)? :¢+2, or off ——_———_ ¥—I. w+2. ~+6 of greater inequality. a+ 3, will always be a ratio In the application of thefe fadtors to the conftruction of loga- rithms A pln alae Sas 30° which fraction (the above notation being ufed) when reduced to its loweft terms will have unity for its Hinerater. For, of x and x+ 5, 2 always meafures one, and 3 the other, as appears from what has been faid above ; therefore 4 meafures the fquare of one; and 9g, the fquare of the other (the quote of two fquare numbers being equal to the . fquare of the quote of their roots; which laft is in this cafe an integer) confequently 36 meafures the produét of their fquares (the continual produ& of any factors being the fame, in what- ever order the fa&tors be taken) and therefore it alfo meatfures double that produ& diminifhed by 36; i.e. 2.x7.%+5)* — 36, wt 5]? Put the quote sh ee tay; 4 will then be equal nine to —, by fubftitution of which the expreffion of the general fe- a ries will be rendered more fimple as before. Tue [ awe] Tur inveftigation of produ@s of five dimenfions may be at prefent omitted—For the difference of the produds of | five dimenfions, which feem moft commodious for the conftru@ion of logarithms, is fo great as to deftroy a confiderable part of the advantage arifing from the greatnefs of their fum——Bcfides the very invention of thefe products, efpecially when the faCors are large, is troublefome.—Not to mention the number of ad- ditions and fubtradtions neceflary to find the logarithm required, after the logarithm of the ratio, as directed by the feries, has been found. ‘Turs laft objeGtion indeed, would be of much lefs weight were products found whofe difference fhould bear fo {mall a ratio to their fum, as to preclude the neceffity of ufing a fingle term of the feries. De Xing, ae, xt + denote the refpective factors of two pro- —— duats; thefe produ€s will be «3 4 — ab. » 4 ab.a+ b. — gq? Tuerr arithmetical mean x? y — ab. x, will be refolvable into vay three fimple and rational factors; if 2? + ab +67, be a pesfe fquare. [o4r5 ] fquare. Make a? + ab + 6? = a? — 4ab+ 467. Then will sab = 36? and 5sa=36. Lethb=5°a=3. The produds then with their refpedtive factors wil be x? y — 49x — 120 =x +3 x w+ xx—8; and x?,—4on+ 120=x4—3.xX w—5 Xx x48. And the fa@ors of the arithmetical mean x3 — 49x, will be x — 7, x, xX 7. ; Tue fquare of the arithmetical mean, x° — 98 ~* + 2401 «7, differing from the product of the extremes, x° —98 x‘ + 2401 ** — 14400 by the abfolute term 14400. Here then we have _ two products of fix dimenfions, which though they have a dif-- ference confiderably greater, than the produéts already given of lower dimentfions, may yet be of fome ufe in the conftruction of logarithms. Havine fhewn different methods of diminifhing the value of the fraétion 2 in the application of the above general feries to the sotitiaddion of logarithms, by which means the feries will be made to converge fafter ; I. proceed now to an abbrevia-. tion of the feries itfelf, which will ferve to compute the logarithms. _ even. of {mall numbers to a much greater degree of accuracy,. with fcarce any increafe of trouble. Tr, [ey 416i] we If we put y= a the feries may be expreffed thus; 2px L T do =e he eeuth See 2 edad Toy BA Es de : I fe) the following equivalent one, 2p x aa eae fi Be foe sa ni — &c. whofe two firft terms are even more 157597 A005 accurate than the three firft of the preceding —and its three firft ——+ &c. which may be changed into terms more accurate than five of that feries. Tue fecond and third terms of the above feries being reduced é to a common denominator, their value is S13 Upon divid- ing the denominator of this fraction by its numerator and taking the two firfi terms only of the quote for a new denominator, and unity — I fe) ee cE ee ee ES which, reduced to an Scat one whofe denominator is 9 27 81 243 ge 15 5, becomes Biers eae acy! 1259 * Gag ye sy . the terms of the numerator decreafing in the ratio of 5 y*:3, i. €. for a numerator, we get the fraction in the ratio of the terms of the numerator of. the fraction, which arifes from the union of the fecond and third terms of the feries. Then mien fice! at oO eel, Shr ote’ B af ui Mead a 9 3073 — 18 y 15 2597 125 y? mee oe Cae + &c. we areas. 2! TO 625 y™ 3125 y'3 if 303 — 18 y eR: Oe eS OTS Lal ag which being ay’ 125 9? 625 9" 3125 y"3 fubfiituted for the fecond and third terms of the feries, we get the feries in this form, 2 x EE aaa pus tes ‘ J SB Me See Mneber i PR it ph MNS O's POR. &c.——Avain; the t 1125”? T $87 6875 y" | 40625 73 eee gy ae ra £1) and A Aes: , (which are of the fame dimenfions with the Wysy? 1259" fourth-and fifth terms of the firft feries) being reduced to a com- \ 180 y* + 308 7875 y° procefs fimilar to that already ufed, may be fhewn to be equiva- 3, SAY rp PUDONG Navas (Sa 15759’ — 2095 9% 50625 y"*¥ 2278125 "3 the terms after the firft, decreafing in the ratio of 180 y* : 308, mon denominator, their value is 3; which, by a lent to or of 45 y* : 77. Tuen, by fubftitution, the feries comes out in this form: 2 p x Le. + AS Ss + ea Ad Re, 2 eaten J Bog 18 yo TS 759 — 2095 9. 2275 yr 7529: Bee WEBB OF) 1154625 y%3 : Vou. VI. 3G Tue “ [ 418 ] Tue two firft terms of this feries may be ufed to very confiders able advantage; with much the fame trouble as the two firft terms of the original feries,; and with rather greater accuracy than the three firft terms of that feries. Ir a third divifion be required, this may be fomewhat altered for the convenience of continual divifions. Thus: BP ON pee ee y 3077 — 18 Oy7 — 1. pele 175 letters 4, B, &c. denoting the terms as they arife. Tue three firft terms of this feries are more accurate than three of the preceding; which likewife are more accurate than the five firft terms of the original feries. A rew examples may ferve to illuftrate what has been faid. Nore, that Briggs’s logarithm of 10 (which is 1,) divided by Napeir’s logarithm of 10, (or, 2, 30258. 50929. 94045. 68401. 79914. 54684. 36420. 76011. 01488 &c.) the quote is, 43429. 44819. 03251. 82765. 11289. 18916. 60508. 22943. 97005 &c. =p. Then, 86858. 89638. 06503. 65530. 22578. 37833. 21016. 45887. [hake] 45897. 94001 &c.= 2p. “And, ,18861. 16970. 11613. 92922. 42603. = p*. Ler it be required to find Briggs’s logarithm of 101. Frrst, by Dr. Halley’s method, or by the application of produés ; of two dimenfions. e—1I «* «+1 — Log. ratio of x—1. tii: aL abe af 100 ror “102 &c. which is to be added to the loga- x—1.*+1 =10200 ‘ithm of the antecedent, to find that iy t. x+1+1=20401=y of the confequent the ratio of x — 1. x + 1: «*, being one of lefler inequa-- lity. 20401) ,43429. 44819. 0325 1. 82765. 11289 (,00002. 12879. 01666. . (74436. 68276 &c. a x—1=100 Log. 2, «x-+1= 102 2, 00860 01717 61917 56104 89366 92 Sara 4, 00860 01717 61917 56104 89366 92 N— Ix ri 23 00430 00858 80958 78052 44683 46 2 12879 01666 74436 68276 62 true to the 14th” ree ereseees CECIMAl laces x == 101% Log. 2, 00432 13737 82625 52489 12960 08 true to the 4th place, 3. \Gi2 SECONDLY [ 420 | Seconv Ly, by the application of produdisconfifting of three fa€tors. ie u—Tl Io 1o2 * 104 Se ess + 1= 546209=y 2 105 wr w+2 Log. ratio of epi)? Xx wees xxe2 aie + &c. ‘Theréfore, log. : x—I ratio of x——2: Cee hi » ae ee ee a — Ze + &e. B Which, as the ratio is one of leffer inequa- lity, being fubtra&ted from the logarithm of the confequent, gives the logarithm of the antecedent. 546209) ,86858 89638 06503 65530 22578 (,o0000 15902 13569 (90914 40369 &c. x—1=102 Log. x - 1= 104 eel jah 2, 00860 01717 61917 56104 89366 92 2, 01703 33392 98780 35484 77218 42 ———— pa —) Mu BD ey ONS —, 00843 31675 36862 79379 87851 se ee —, 01686 63350 73725 58759 75703 00 1) psa xx+t2 e+ Subtract log. ratio x—2=101 Log. 2, 02118 92990 69938 07279 35052 67 2 00432 29639 96212 48519 59349 67 15902 13569 90914 40369 94 true to the 18th decimal place. 2, 00432 13737 82642 57605 18979 73 true alfo to the 18th place. THIRDLY, [Spa Tl] TurrbDuy, by the application of produéts of four dimenfions. w—-I « x+2 x+3 %X+5 ¥+6 Log, ratio of xt.» +5)" 8 Io! 102 104 10 San Neti s ; 1n— 1.4 +2 443.446, x F oy —: = 52 Lv ee car atlteayge ag G2 x—I xX+ 3. x +6 ——— 2p : 2= — &c. 99 ar ae % eit: 99 260 Which is to be fubtraa- | aie SET ee w’=I089 as = 2704 ed from the logarithm of 8 , 2 the antecedent to find 24.336 the logarithm of the con- 21632 2704 fequent, the ratio being aX w+5ls 2944656 (as has been faid above) 36 isda aa) i —I= 5889311 = 36 lity. one of greater inequa- 5889311) [ 422 | 5889311) ,86858. 89638. 06503. 65530. 22578 (,c0000, 01474. 85667. 47561. 87362 &c. =7f x =99 Log. 1, 99563 51945 97549 91534 02557 77 + 5= 104 2, 01703 33392 98780 35484 77218 42 k FES 4 01266 85338 96330 27018 79776 19 Kew 57 8, 02533 70677 92660 54037 59552 39. K—1=08 I, 99122 60756 wire 81714 12) «+ 3=102 2, 00860 01717 61917 56104 89366 92 | *+6= 105 2, 02118 92990 69938 07279 35052 67 P a ix +2 1474 85667 47561 87362 675 —-1.*¥+3.*%+6 . Ratio of = 6, 02101 56940 10017 96609 93496 38 w+2=101 Log. 2, 00432 13737 82642 57427 66056 OF tne to the 21ft placer The firft term of the feries, exhibiting the logarithm of the ratio true to the 21ft place. Ir the fecond term of the feries, as it exifts in its contracted 10. 3 4.o3 ap = 3077 — 18 307? — 189 fhould obtain the logarithm of me ratio true, by the firft method, form, (viz. ) were ufed, we to the 32d decimal place; by the fecond to the 42d, and by the third method, to the 49th. Tue B adicic 99 ae ea Tue principal ufe of the faftors of the products of fix dimen- fions in the conftru€iion of logarithms, will appear, when (by reafon of the greatnefs of the products which would arife) it be- comes unneceffary to ufe a fingle term of the feries. Tuus; if it be fufficient to have the logarithms of numbers true to 7 places of decimals, the logarithms of numbers exceeding 100 may be found by this method. Let the logarithm fought, be that of 1to1, as before. *—8=86 Log. 1, 93449 84512 The ee of the ratio of, x—5 =89 1, 94939 00066 pao OF T, 95904 13923 e+ 3=97 P OBG77.1 7348 15 99563 §1946 e885. 83.83.81 5. APE wt ED ab See Therefore the logarithm of the 48 = 102 2, 00860 01718 aa o¢ II, 83393 09508 Wg pe geome eane | a eee 5, 91696 84754 atlas ar, a | oie to a &c. y being taken —7 = 87 1, 93951 at : ® ai caat 1, 97312 78536 stir ee gene 14400 iy 3, 91264 71062 w+7= 101 Log, 2, 00432 13692 true to the 8th decimal place. i. e. in the prefent inftance i 94755 506,845. So that the logarithm me logarithm found will differ from the truth by lefs than half an unit in the 8th place of decimals, 5 Here the number whofe logarithm is fought, being denoted by the fator x-++ 7, the logarithm comes out lefs than thé truth; if the number were denoted by the fa€tor x48, we fhould get the logarithm greater than the truth, The reafon of this is manifeft, from the relation between the produds. Tue logarithms of numbers exceeding 300 may be found by this method to 10 places of decimals. And the logarithms of numbers exceeding 1300, to 14 places. A sim1LaR application may be made of the factors of the produéts of four dimenfions, which will ferve to conftruct the logarithms of numbers exceeding 20,000 to fourteen places of decimals; fo that,-if neceflary, we may have an eafy way of compleating the chiliads omitted by Briggs. E.G. Let it be propofed to find the logarithm of 19997, being even fomewhat lefs than, 20000. _ #= 19995: b fae - «= 19995 Log 4, 30092 14084 6954 The logarithm of the ra- % + 5 = 20000 eXK+S xX K+ 5)" x— I= 19994 «+3 = 19998 x +6 = 20001 4, 30102 99956 6398 — 8, 60195 14041 3352 17, 20390 28082 6704. 4, 30098 65640 4417 4, 30105 17008 4522 4, 30089 96877 wr 12,90293 79616 6164 *+2= 19997 Log. ae 30096 48466 o540 tio of «?. «+ s]*: 4-1. re wy wre te LB &c. 5, But. y= uy. cal cag ce Vat ey 36 in.this inftance 88844 44499 99999 9.—So that the logarithm of the ratio will be lefs than unit of the fix- teenth place of decimals. Tue computation of the logarithms of {mall numbers may be rendered more expeditious if, inftead of attempting immediately to find the logarithm required, by the application of any of the preceding methods as they are above exemplified, we feek the logarithm of fuch a multiple of the given number, as fhall not have any of its prime factors greater than that number—with the fame limitation alfo, on the numbers which are concerned in com- puting the logarithm of this multiple. Vou. VI. 3H E. G. Ir [ 426 ] E. G. Ir it were propofed to find the logarithm of 31, the multiple by means of which it would be moft conveniently found by the application of produéts of two dimenfions, is according to Briggs, 341. Then, 17x 20=340=H"—1, 11X31 =341=4% and 18x 19 =342=x"+ 1, Whence the logarithms of 340 and 342 being known from the logarithms of their prime faGtors, that of 341 may be found by Dr. Halley’s method—from which the ‘logarithm of 11 being fubtrafied we get the logarithm of 31. Here y = 2 X 340 X 342+ I = 232561. So that ufing only the firft term of the feries we get the logarithm true to the 17th place. If we ufe the produdts of three dimenfions, the advantage will be confiderably greater. Tue logarithm of 31 may be found from that of 899, which laft may be found by this method without knowing the logarithm of any prime number greater than 31. For 2/7? x 7 =896 = #—2;3%X13X 23 = 897 =x —1; 29 X 31 = 899 =~ + 1 and ‘2x 3x5|*=g00=x+2. Here we have, y= —— +1= 262074049. The firft term of the feries gives the logarithm of the ratio true to the 27th place—without ufing even a fingle term of the feries, we find the logarithm true to the ninth decimal place. IF aap Ir the logarithm of the number 7 be required it may be found from that of 28. Here 2° x3=24=x~—2, 5\) = 25 =x—-1y 3° = 27=e+1,and 2)*x7=28=x+42. ‘Andy CONES 1 = 8749. If we ufe the two firft terms of the feries as it was firft laid down, we may find the logarithm to 1g places of decimals. But if we ufe the two firft terms of the contraéted feries, which may be done with only the additional trouble arifing from dimi- nifhing the fecond divifion by 1, 8, we may get the logarithm true to 28 places. Ir is manifeft that the logarithm of fome number muft be found by the immediate application of the feries. If then Na- pier’s logarithm of 14 be found by this method, we thence obtain the logarithm of eer he logarithm of _ being found in 64 the fame manner, and added to that of 12 5 » gives Napier’s lo- garithm of 2. If the logarithms be required of Briggs’s form, having found Napier’s logarithm of 8, from his logarithm of 2, by adding the logarithm of 14 as already found, we get Napier’s - logarithm of 10; the reciprocal of which will be the modulus of 3He2 Briggs’s [ 428 ] Briggs’s fyftem, reprefented by f in the feries; by which if Na- . 128 pier’s logarithms of as and oe be multiplied we fhall get Briggs’s logarithms of the fame numbers. If then we fubtract Briggs’s logarithm of ie from his logarithm of 10, and divide the 4 remainder by 3; or if we add Briggs’s logarithm of 128 to his 125 logarithm of 1000, and divide the fam by 10; we fhall have Briggs’s logarithm of 2.—The logarithm of 2 being found, the logarithms of all other numbers may have their computation faci- litated by fome one or other of the preceding methods of increafing the convergency of the feries. As a due application of the binomial theorem furnifhes us with a feries for finding the logarithm of any natural number, (which is the fame with the logarithm of the ratio of that number to unity) fo likewife it may be fhewn from the fame principles that the fum of the feries 1 +f + “= - = + = r will be the natural number correfponding to Napier’s logarithm + &c. /; and oo psc ero [ 429 ] /; and that the fum of the feries 1 md Li aby Vo sane I 1,2 Tagg aie aaa will be the natural number correfponding to Napier’s logarithm — /, _ Ir / denote Napier’s logarithm of the improper fraétion = a then will —/ be Napier’s logarithm of its reciprocal ar Therefore, 2 4 7 8 ee Bg Ee ae ot f oP age a 2 6 24 120 420 5040 40320 2 eae ee ee ee tags See B SESE AS al 6 e 6 24 120: 720 _ 5040 ° 40320 b>—a?* /: ds ii —— gf ae —— &c. ab : 3 Tio 2520 aan 6> +a" Is Is Zs —— }7 —_—_ win ° b ok 1% * 360 a 20160 Hee be +a _ b*—2ba+a’ eer ee gs ha Pe a Sek cs AEs sas ane th aeaton This feries being divided by the feries 2 / + LE ea BS edhe &ce 3°. 60. 2520 _the quote will be the feries, iA _ vis + Re sas] Ero + &e. : 2 24 240 49320 [ 430 ] Call the fum of this feries, s. Then, dee (= b* — 2 ba + a* cE b+a ab are PEPE) ANS EE b—sh=a+t sa, _ ae a, ab —— I-—_—s and a= ——_.. b. I Here then we have a feries confifting of but half the number of terms of either of the feries firft propofed; but a divifion is afterwards requifite to find the natural number ua a or 4 7 Ler us endeavour to render this feries more convenient for practice and apply it to find the natural numbers of logarithms of any fyftem whatever, without the trouble of reducing the given logarithm to Napier’s fyftem——If we affume the firft term Z ] gf DP for the whole feries, i. e. —=s; then will — =—-— and ; in I—_= l 2 a anes: b pe Se making L to denote the logarithm of 7a any fyftem Tacks 2 whatfoever, 3 ON [ 43x ] whatfoever, fince us = Die J; then by fabftitution, 2 ieee tage , P a 2p-L a 2p — ae Bok 2p+L Tuts abbreviation Dr. Halley has deduced from contra¢ting into one two terms of the firft feries. ; l Zs ds Ir we unite the two firft terms of the feries —§ — —_ 4 2 _ 2 24 240 se = + &c. we may obtain a method ftill more accurate, which O2 however requires a fecond operation; but yet pater may be preferable to the application of the feries in its original form.— 1 pe ae f The terms — and-——— being reduced to a common denominator, 2 P 12/— 23 their sat is — —,; which, by a procefs fimilar to that 2 which has been ufed above, will appear to be equal to 3 — 12 4h sed “i Pegtae hee Then by fubftitution the feries becomes 288 3456 61 Is i 12+/? 1449 7560 a7) will more accurately reprefent the entire feries than the [3 two terms —— -——. 2 24. + &c. It appears then, that the term AssuME [ eg 4 —— 6/ on iia s.; Arsumz ——_ =s. Then — (= 2 pe sSUME as Ss en o (= er are I ae 12+6/+ 177. bd Uae (ae ee, bh. Se weit hase ee foever AES sil hla ease and 4 = 12 pe epee. Make a 12p?—6pL+L? 6 ha ae 2p =43 then BF RG Op tek oe =b ps L a g—O6p+L 6 = 6p+L sable thrown into a feries will be 1 +/+ Sg aE STE ak + &c. fo that the natural number cor- refponding to Napier’s baa Z will be accurately expreffed 12+6/+/ 12—6/4/2 © 720 12 +6/+72 —6/+ Ff number of Napier’s logarithm 4, than the five firft terms (1 +/+ = + = + “ of the original feries. Now in the application of thefe terms to find the natural number of a logarithm, befides thus ——+ &c. Whence it appears that the fraQtion will more accurately exprefs the natural reducing the given logarithm to Napier’s fyftem if it be of any other, three multiplications are neceffary, not to mention the divifions a tl a te eee eee [> 433] divifions performed by {mall divifors. Whereas, to find the na- g+6p4+L tural number a by the application of the fraétion S=GAEL or the natural number 4, by the application of the fra@tion b Bob ae two divifions are fufficient, of whatever fyftem the qt+op+L logarithm may be. For 12 f* being given (fince £ is the modulus of the fyftem) g is found by one divifion. Another divifion will n eaeat all 6pLT its terms being give the value of the fractio known and of one acca ge Ope Z, Veep ar we have 6= S ASD Bat ay Mae ie ad INCE an 3 Me EY Lg g—O6pt+L q+6p+L Wuence if a logarithm of any fyftem be given, to find its correfponding natural number; find the difference of the given logarithm and the neareft logarithm to it (in the fame fyftem) whofe natural number is known. Call this difference Z; the modulus of the fyftem f; and 22 “f =g. Then, if the given Vou. VI. 3 fe logarithm + [ 434 ] logarithm be the greater, its natural number will be the natural number of the affumed logarithm increafed by the produ& of 12P ___, if lefs, its na- q—6ptL tural number will be the natural number of the affumed loga- the fame number into the fraction rithm, diminifhed by the produ&t of the fame number into the fraQion —22 _. This is not perfe€tly accurate; but will be q+ 6ptL a nearer approximation to the truth, the lefs the difference is of the given and the affumed logarithm. = i a TE aah noe — “SNUYOLS | NIVYW UALANOWUAHL UALTWouva \ “papley u : | . ee “vax | | yatya Jory uo 29 | ay? uP siwi0ig | “mouy [fay orga) Jo ON, yeroy, |Pz|| bezLShbz |jo g uo -giz|| 6b 6b 6£008 | fgh 62 SES*o€ | awa x -ayr so uraqy a meee fea ee | — ee | 2 ete — "NOM ‘S19 || FO6Eob-z zz ziub “Qt oS'SS || 06 6z jor-mg bi} co-6z “MN W18% | zl-of | - - saquiasaq —— —— | |) —— —-- —_— || —_ ee ! “MS AVOUT [[2J YOrym ‘a 2ON| “MN 2 “M'N “ONIE f9g6lo-z ljo b uo *L) gizt — ‘tz — 68 || ogook In uyaofagpzz) of+6z 2M Yl zg of = JaquianoN “Aray ng | *N Aq MW Aion ssysing € — | = glosis g1 19°0$ - 70f | oS-€9 || oforof "NWS2 | of6z 3% -Ay uid oy'of€ | « = 1qQoVO ‘8 “ALN "NBM S|? || Stgo6Ez 9'} 41879 = gr | = -b9 ofg'6z | 3M yloz | gf-6z ® "AW pel SE-o8 - asquiaidag “SuiwyyseT wap | on “N Aq MW 8 sunyy, sAeqe @ = |—}| 6ozgz26'+ £z 96 65 - of ~ tL |} ogzof | o1 ‘g yagi | $5-62 “MPEZRpPZz| zbof | - - yodny | | | | "MS ‘ghq qo feat ‘N¥ ns; ‘boglzg'— 61 Sgig | oS ~ “SL |] ogorof | 2 + yrt| $L-62 "NAqg WI0£| Sgrof | « - Ajof wh —|| Plzf6Q— 61|| zl-bs oS-oF — 69 |) o6b-of “H Pez | 22-6 | «mang qigz | of-of | - - ounf 4 C9 Se eee Se ae ee | eee a | a ee (ie ae eae eae | 3 Loe | v prey [pay yorqay! "Tg 03 Sp) ' | -|| 99116971 yo € uo yz\| zorzs oS ze —- "89 095 6z |N 0A InP] StGz |oy "MS Pp£z| ob:of} - - Kew bp | — || — => SS |e S| SSS ——|—— “peg TAF GorN, —|| PSbzilb1 jo 1 uo ‘oz\| Gogh — “bs — °%Y || oF6 62 | o1r-qN pS| Sb-6z “IN 116 | gfof |] - - yudy “MOU |f2J youyan, “mS -|| SLS0€6-1 _pe z uo ‘FI S614 - if — "bs z90'0k "S$ WI9Z | 2S:6z | oO “| Yiz| gS:of} - = Youeyy — rs | oe ses ae —| | ————— | ——_ | as “AN OU} [I>J) ‘MN "MS 99'S “MN 3M 1 g4zS1£'— jyoiym yo 1 uo g LS E+ — ‘gz ~ "95 || gobof | ‘nN wits 94£6z | mor a yr6] zlof |-- = Arenigqay ‘N® » |"ouy pjay yory a ‘MS 3°S F "MS “MM 4qS}9 6£oLS1 JO F uo “61 99°24 oS'9z gSrof | "mmle | Sb-6z § 16 % yd] oL-of | - =~ Arenuef ig = é “yluopaqa yding] “Aeqe ayy “‘taaopyaya| *pauad *pouad ; SPaEM 5 Se EUat Jo ubayy jie Yyomorylur yaqsipy | jourayy deq a heq| VPMOT vy a Aeq a (A) Ree ao Some HINTS concerning the STATE of SCIENCE at the REVIVAL of LETTERS, grounded on a PASSAGE f DANTE wm his INFERNO, Canro IV. v. 130. By the Right Honourable the EARL of CHARLEMONT, Prefident of the Royal Irifh Academy and F.R.S. ‘Turs earlieft of modern Bards, who compofed his excellent, Read April though fingular poem about the year 1300*, in deferibing the ? pate Elyfium, prepared for the reception of thofe Pagan worthies whofe (A 2) merits * Dante was born, according to Boccaccio, in the year 1265, and probably wrote his Comedia at about the age of thirty-five years, a period of his life which many eafons concur to make us fuppofe was honoured by this wonderful compofition, a: which well accords with what he himfelf fays in the firft line of his poem. Nel mezzo del Cammin di noftra Vita. I have ftyled Dante the earlieft of modern Bards, and fo he undoubtedly was of fuch as have merited that illuftrious appellation, though the Poefia Provenzale began to be cultivated fo early as in the year 1100, and though Italian poetry may be traced back to the year 1184—about fixty years however it continued in its infant ftate; and was firft brought to a degree of maturity by Fra. Guittone D’Arezzo, who flourifhed about the year 1250. [a4 merits might have juftly entitled them to a feat in Paradife, if they had partaken of the baptifmal rite, mentions Ariftotle as holding the firft and principal place among the ancient philofophers. . Poiche’nnalfai un poco piu la ciglia Vidi 71 Maeftro di color che fanno Seder tra Filofofica Famiglia. Tutti l’amiran, tutti onor gli fanno. Quivi vid’ io e Socrate, ¢ Platone Che ’nnanfi agli altri pui preffo gli ftanno. My eyes a little raifing, I defcried The fov’reign matter of all thofe who know, Sitting among the philofophic race, Admir’d by all, by all rever’d and honour’d : There I beheld both Socrates and Plato, Who prior to the reft ftand clofe befide him. Tue charadter of Ariftotle, which will bear the teft of the moft enlightened times, was peculiarly revered in the darker ages at the firft Revival of Letters, and the praifes lavifhed on this philofopher approach almoft to idolatry. His great Commentator, the Arabian Averroes, fays of him that before Ariftotle was born nature was yet incompleat, and that fhe received from him the perfeGtion of her being. ‘The Theologians of Cologne held, that Ariftotle was the precurfor of the Meffiah in the myfteries of nature, as Johny. the Baptift was in thofe of Grace. Dante affigns him, in the paffage here cited, the firft place among Philofophers, and cannot better fhew his predilection than by preferring him to_ Socrates, and even to his mafter Plato, who are honoured by being placed next to him. Yet he does not venture fo far as . Sepulveda, - i ee 2 Sepulveda, a learned Spaniard of the fixteenth century, who, though an excellent, and, in all other points, an orthodox Ca- tholick, publicly fuftained, and printed his opinion, that the foul of Ariftotle was beatified in heaven. We fhall not be furprifed at the prevalence of the Platonic and Ariftotelian philofophies in the more weftern regions at the firft dawn of literature, when we confider that thefe were the fafhionable fciences among the modern Greeks, who had refined upon their refinements, and rendered their obfcurity ftill lefs intelligible, and that Conftantinople was, in effe&, the fource from which learning flowed into Italy, the great refervoir of - knowledge, where it -would naturally retain its original form and qualities ; and this caufe will appear ftill more probable when we reflea& that, though originally derived from the Greeks, it was brought into the weftern parts of the world by the Arabians, who, in their conqueft of the Afiatic provinces had made themfelves acquainted with all the learning of Greece, and whofe fpeculative, fubtle, and romantic genius, perfe€tly adapted to metaphyfical difquifition and to artificial diale@tic, had eagerly feized, and adopted with a preference thofe fciences to which it was beft fuited. This fpecies of erudition which they had found prevalent “among the conquered Greeks, by their frequent incurfions into the weftern regions, and principally by their fettlements in Spain and Africa, they had diffufed and eftablifhed among the unlettered inhabitants. Manufcipts of all kinds they had in their viGtorious progtefs collefted, and tranflated with avidity ; and that Arif- totle in particular was, and long continued, their favourite author, may [ may be concluded from the Gran Comento, as Dante ftyles it, written on his works by the Arabian Averroes * about half a cen- tury previous to the time of the poet. Tue perpetual, violent, and trifling controverfies alfo, which long difgraced the Chriftian church, had introduced an ardent paffion for difpute, and a fpirit of nice argumentation, and had prepared the minds of men to adopt and to admire the fubtle and unintelligible jargon of the fchools. Eager for victory in this war of words, Ariftotle’s logic was greedily ftudied as an armour of defence, and a means of fuccefsful controverfy ; and the fame fpirit of nice difcrimination exciting in the mind a love for what was difficult to be underftood, and an ambition to be thought to comprehend what was fcarcely intelligible, his philofophy was revered in proportion to its obfcurity, and has confequently ob- tained fuch a fandtion and bigotted preference, that it ftill remains, as it were by prefcription, the exclufive do@rine of almoft all European feminaries T. Bor, * Averroes, or Averroys, died in the year 1206. I have ftyled him an Arabian, and fuch indeed he was by defcent, though born at Cordova in Spain; from whence he migrated into the dominions of the king of Morocco, by whom he was invited, to fettle in his country, and was raifed to offices of the higheft dignity and importance. + Chis was undoubtedly the fact not One fince, and ftill, I believe, continues to be true, particularly in Italy. Weare told by Voltaire, Effai fur les Mceurs, &c. Tom. x. p. 222. 4to Edition: that fo late as in the reign of Louis XII. in or about the year 1624, the Parliament of Paris prohibited under pain of death the teaching any thing contrary to the doétrine of Ariftotle, and that a perfon of the name De Clave, together with his affociates, was bono But, befides thefe accidental caufes, we may perhaps find a reafon for the preference given to this fpecies of fcience at the early approach of light, in the nature of the human mind, which, when emerging out of ignorance, is apt, at its firft expanfion, to feize with avidity the more abftrufe and refined parts of know- ledge. Metaphyfical refearches, and every fpecies of nice, fubtle, and was banifhed from Paris for having fuftained certain pofitions contrary to the prin- ciples of this favourite philofopher on the number of the elements, and on matter and form. The fame author, however, in a note on the third canto of his Pucelle, limits the penalty to that of the Gallies, which feems the more probable from the punifhment of De Clave, who would fearcely have received fo flight a fentence as that of banifhment from Paris, for acrime which the law had made liable to death. if For this marked preference given to the Ariftotelian do€trine in all Catholic feminaries Bayle flyly afligns the following reafon: * Apres tout, il ne faut pas « (’etonner que le Peripatetifme, tel qu’on V’enfeigne depuis plufieurs fiecles, trouve © tant de Proteéteurs, et qu’on en croit les Interéts infeparables de ceux de la © Theologie; car il accoutume l’Efprit a acquiefer fans evidence. Cette Reunion ¢ d’interets doit etre aux Peripateticiens une gage de I’Immortalite de leur fedte, € et aux nouveaux Philofophes un fujet de diminuer leurs Efperances.’ i The glory of Ariftotle fuffered a fhort eclipfe at the very beginning of the thirteenth century, when his metaphyficks and phyficks were prohibited from being read as favouring the errors of herefy, but, having been commented upon, under the pro- teCtion, as is fuppofed, of the Pope, by Albertus Magnus and Thomas Aquinas, it again fhone forth with redoubled fplendour. To evince the efteem in which this great philofopher was held in the more enlight- ened times I fhall here cite the weighty authorities of Grotius and of Erafmus. ‘The former in the Preface to his Book, De Jure Belli et Pacis, has thefe words, * Inter © Philofophos meritO principem obtinet locum Ariftoteles, five tra€tandi ordinem, _* five diftinguendi acumen, five Rationum pondera confideres.’ And Erafmus, Epift. Lib. xxviii. Ep. 13. thus fpeaks of him, <‘ Ariftoteles Philofophorum, ne Platone © quidem juxta M. Tullium excepto, citra controverfiam, omnium dotiflimus—Unus ‘hic Philofophiam, a diverfis per Fragmenta fparfim mutilatimque traditam, in or- § dinem redegit, ac veluti in Corpus compegit.’ [ e4 and ufelefs difquifition, feem to be preferred in the infancy of letters to the more folid and profitable fciences, as the attention of children is captivated and fixed rather by fupernatural and romantic tales than by fober and ufeful hiftory ; and the fubtleties of metaphyficks will prevail among the half-enlightened in the fame manner, and for the fame reafons, as the abftrufe follies of magic and of aftrology. When the mind firft feels its powers, ‘and finds itfelf affifted and borne up by the wings of literature, it feems to think that it never can foar too high. Exulting in its newly difcovered energy, it fondly fuppofes that nothing can arreft its progrefs, ignorant as yet of thofe impaflable bounds which nature has fet to its flight. The blind man, fuddenly reftored to fight, would naturally firft fix his eyes on the fun as the moft glorious object of contemplation, till experience fhall have taught him that he is dazzled by its beams! , Bur if, in the infant dawn of learning, the mind is apt to baffle and lofe itfelf in thefe ufelefs and preternatural excurfions, fo do we alfo find it in the decline and decrepitude of letters. The ftate of infancy and that of dotage are equally imbecile, and produce nearly the fame effects. AnoTHer caufe of the early preference given to metaphyfical enquiry may perhaps concur with thofe already mentioned. As the Being of a God is believed and acknowledged even by the moft unlettered favages, it is no wonder that the nature of that Being, with whom all hopes and fears are intimately connected, fhould [eg J fhould be the firft obje& of intereft to the expanding foul; and its own nature will certainly be the next objeét of its eager refearches. —When we have once learned to think, it is moft natural that we - fhould wifh to know how and why we think. To fatisfy its curio- fity will be the firft amufement of the infant mind; and Science will therefore take place.of Tafte, which, as it is only to be acquired by a nice and critical inveftigation of beauties and of defects, mutt naturally await the flow progrefs of Study. Sucu were moft probably fome, at leaft, of the caufes which, during the courfe of the thirteenth and fourteenth centuries, plunged and abforbed the learned of Italy, the great teachers of the Weft, in the unfathomable depths of fcholaftic fpeculation and metaphyfical refinement, and, by prompting the mind to attempt the folution of invincible difficulty, baffled the efforts of the moft penetrating genius, and checked the progrefs of ufeful knowledge. Hence proceeded that rage for abftrufe difquifition, which, not content with rendering Profe unintelligible, infected and obfcured even the pleafant Region of Poetry, fo.as that fcarce a Love-fonnet could be given to the world unattended by the long, laborious, and perplexing comments of fafhionable Philofophers— Hence was the ftream of knowledge fo far perverted and choaked in its courfe as to threaten with inundation thofe fields it was meant to fertilize—Hence the dark allegories and myftic theology of the learnedly-poetical Dante, and his beft of imitators, Frezzi*— Vou. VI. (B) Hence * Monfignor Freazi Vefeovo de, Foligno. compofed, between the -years 1380 -and 1400, the Quadriregio, an excellent Poem written in fuccefsful imitation of Dante.—The merit of this very ancient and fingular compofition would entitle it to be better known by foreigners. eared Hence were the early and preternatural abilities of Pico della Mirandola loft to the benefit of mankind; and hence was Petrarch, the man of all others beft adapted to the propagation of true Sci- ence, and who, even thus led aftray, powerfully contributed to its advancement, bewildered in the flowery, but pathlefs, mazes of metaphyfical or platonic Love—yet all was perhaps for the beft; and the mind, by exercifing its powers in the inveftigation, and eager purfuit of impoffibilities, may probably have encreafed its natural vigour, and have thus become more fit for beneficial en- quiry ; as the body, by having been early inured to exert its flrength in unprofitable efforts, is rendered more able for the real emolu- ment of ufeful labour. I nave faid, in the former part of this Effay, that Conflantinople was the fource from which Learning flowed into Italy; an affertion, which, though made in conformity with the opinion generally re- ceived, will require fome explanation, as it is hazarded in apparent contradition to the refpe€table authority of Voltaire, who, in his Effai fur les Mceurs. Tom. ix. of his works, page 164. 4to edition, has thefe words, ‘ On fut redevable de toutes ces belles Nouveautes ‘aux Tofcans—lls firent tout renaitre par leur feul Genie, avant ‘ que le peu de feience qui etait refté a Conftantinople refluat en * Italie avec la Langue Grecque par les Conquetes des Ottomans— ‘ Florence etait alors une nouvelle Athenes, et parmiles Orateurs qui ‘ vinrent de la part des Villes d’Italie haranguer Boniface viii. fur fon ‘ Exaltation, on compta dix huit Florentins—On voit par la que ‘ce neft point aux Fugitifs de Conftantinople qu’on a di la Re- * naiffance red < naiffance des Arts—Ces Grecs ne purent enfeigner aux Italiens ‘ que le Grec.’ Tue ingenious author is certainly well founded in his affertion that Science and the Arts flourifhed in Italy long before the lofs of their Imperial City had forced the Greeks to feek in the more Weftern Countries an Afylum, which their talents amply repaid to their generous Protedtors ; yet ftill my pofition may be true; fince the channel, through which I have fuppofed the Greek Learning to be conveyed, is totally different from that mentioned by Voltaire, and the time of fuch influx greatly antecedent. Long before the taking of Conftantinople had compelled thefe Sons of Science to feek elfewhere a refuge for that ftudious and contemplative eafe to which they were wholly addicted, their learning had, according to my idea, been propagated in Italy by means of the Arabzans, whofe conquefts, and not thofe of the Zurks, were in reality the original fource of Italian Literature, and Florence had already become wne nouvelle Athenes, not merely par le feul Genie des Fiorentins, however brilliant that genius moft certainly was, and how greatly foever it contributed to their literary acquirements, but from the fortunate importation of {cientific materials, which | brought it into action, and upon which it was enabled to operate. Tt muft alfo be allowed that, whatever decay Science had experi- enced in its favourite clime, the general fund of Learning was in fome degree increafed by the acceffion it received from the fugitive Greeks, and though the Greek Language was undoubtedly known and ftudied in Italy long before it was taught there par ces Fugitifs, we may naturally fuppofe that, after their arrival, it was more (B 2) generally [-1 } generally diffufed, more methodically taught, and its utility aug- mented by a confiderable addition to thofe manufcript treafures of which Italy was already poffeffed. Neither is the advantage to be derived from a thorough knowledge of the Greek to be confi- dered merely as the acceffion of a new Language, but as the opening of a frefh and copious fource of Science and of Tafte.— Indeed the language of the Greeks, and the importation of their books, may be confidered as an advantage far greater than any which could refult from the introdu€tion of their beft Teachers, fince, however the latter might have degenerated, the former ftill have remained, and ever will remain, the true ftandard of Elegance. REFLECTIONS on the CHOICE of SUBJECTS for TRAGEDY among the GREEK WRITERS. By WILLIAM PRESTON, Z%. M.R.LA. Every one who turns his thoughts on the Tragic Drama of the Greeks, the Romans, and early Jtalian Poets, (the two latter of which were no more than fervile, and, in general, feeble imitators of the Grecian Drama) muft be ftruck with one particular—the extraordinary predominance of horror in the Fables of their Tragedy, which uniformly prefents us with the moft dreadful and fanguinary feenes, with miferies of the deepeft fhade, and crimes, at which human nature ftartles. Furtis in fcenis agitatus Orefles—the horrid feaft of Atreus—Ocdipus, ftained with inceft, mangled by his own hands, and bleeding on the ftage. The torments of Hercules in the invenomed tobe—Medea* plunging the murderous poignard in the little bofoms of her innocent offspring—The guilty paffion of Phedra * In Euripides, Medea does not abfolutely kill her children on the ftage; but what is much more horrid, you hear the lamentable fhrieks of the children. Read May 14th, 1796. es ie Phedra for her ftep-fon,—Of Canacé for her brother—The luftful cruelty of Zereus. Such were the favourite themes of the Grecian tragic mufe: I {peak not this in contempt; I feel all the vene- ration that the divine remains of ancient Greece muft excite in a bofom {mit with the love of poetry. If we except our immortal Shakefpeare, what have all the efforts of fo many fucceeding cen- turies produced to emulate the fublime produdtions of the Athénian tragic flage? In them we behold the mature and perfect form of tragedy ; and thofe, who, in modern days, have attempted to woo the Mufe of Tears, have proved either cold and languid imitators of the Grecian models, or, in venturing to depart from them, have disfigured and degraded the genuine form of tragedy. Yet, furely, we muft allow that there is a ftrange ‘and uniform prevalence of the dreadful both in thofe plays of the great tragedians which have been preferved, and in fables of a vaft number more, the names and fubjeéts of which are recorded, though the pieces themfelves have perifhed. An exhibition of the deepeft horrors, with very few exceptions, in fuch a prodigious number * of dramas, could not have proceeded from mere chance alone; it muft have been produced by the deliberate choice of the writer. It may prove no uninterefting enquiry to endeavour to trace out the caufes which led the Greek tragic writers to brood over the moft fombre images, and to range through * Seven plays of /Efchylus are preferved, the like number of Sophocles, nineteen of Euripides: the fubjeéts of moft of them are horrid. 1 ES EE Te Sn Pn rr RT ae [ o95 through all the walks of hiftory in queft of fubjeéts of horror and difmay. On what principle, then, fhall we explain this fa@? Were the Greeks of a ferocious and cruel difpofition? Did they delight in fcenes of blood? Did they fuppofe the frequency of fuch enormous guilt as ftruck the appalled {peCtator, from their ftage, to be incident to human nature, and the reprefentation of it, to be a faithful piCture of real life? Or again, did it require an exhibition of exaggerated mifery to melt their ftern hearts, and draw from them the tears of fympathy? I believe we may col- le& from hiftory that there was, in truth, fomething cruel and ferocious in the Greciam chara€ter; nor will it be difficult to point out certain circumftances, the operation of which muft neceflarily have produced in a people fuch difpofitions. © To begin with the mythology and religion of the Greeks, whether we confider it as an efficient caufe influencing the national cha- racter, or as an index to point out what that character was, we muft fuppofe it adapted to their prevailing and popular notions, and accommodated to their reigning difpofitions and fentiments. What were the Grecian divinities? Gods partial, changeful, paffionate, unjuft, whofe attributes were rage, revenge and luft. Wuat was the ferocious revenge of two of their moft refpeCtable and benevolent deities, on Niobe and her unoffending children? What was the {till more ferocious vengeance of Apollo, on the Satyr Marfyas? The Grecian mythology is crouded with fimilar in- ftances of cruelty. The religion which could circulate fuch traditions [ 16 ] traditions of rage, revenge, and barbarity, concerning the Beings whofe worfhip it inculcated, could not be the religion of a very mild or benign people; nor would its influence tend much to tranquillize the paffions and foften the heart; or to infufe a foftnefs and mildnefs into the national charaGer. THERE is no doubt that Homer copied faithfully the manners and fentiments that were prevalent in his time, and exhibited his chiefs, ating and fpeaking as leaders and warriors ufually did in his day. Judging, then, from the writings of Homer, of the characters and difpofitions of men when Homer wrote, it will appear that they were ferocious in no common degree. His heroes infult, and triumph over their enemies in their dying moments, and kill the unarmed fuppliant proftrate at their feet; piracy was not only univerfally praGtiifed, but, even among the moft dignified and refpeftable chara@ers, the appellation of Pirate was confidered as by no means reproachful; and men and women were daily carried off for the purpofe of felling them as flaves. The condu@ of Achilles towards the dead body of feéor does not excite the idea of general ferocity of manners, becaufe we are prepared for fuch a conduét, and know that the poet meant to pourtray him. Jmpiger, sracundus, inexorabilis acer. But, when the pious and amiable Ze/emachus, and the good Eumieus, characters, which Homer wifhed to exhibit in the moft engaging colours, when they hang the female domettics, cand mangle and mutilate the wretched Me/anthius with their. own its execution, a oe ol own hands, ina manner uncommonly favage. Whatever may have been the provocations of the prince and his family, and great they certainly were, the narrative, while it gives a ftriking pi@ure of ferocity, fhews that the poet viewed it with approbation. ‘The paffage is too long and too horrid to be quoted here ; the reader will find it in the twenty fecond book of the Odyffey. Nor to refort to the doubtful hiftory of the fabulous and heroic times, confider the moft dignified period of Grectan ftory, when refinement and arts were in their zenith, and you will find the records of this people crowded with examples of fanguinary cruelty. In the Peloponnefian war, the garrifon of Platea, a town which had deferved fo well of Greece, were, after a noble defence, delibe- rately brought forth by the Spartans and their allies, and put to death, one by one, in cold blood*. Quarter has been too often refufed, in the heat of battle, by all people, antient and modern, but the Greeks generally murdered their prifoners of war, when all refiftance was paft, and they wanted the excufe of paffion to palliate their cruelty. Thus, when MMJrtylene had furrendered on terms, the Athenians, in a full affembly of the people, and on debate, condemned all the males in the city (notwithftanding the capitulation) to death, and all the females to flavery. This decree was revoked, it is true, on a fecond debate, but it was the uncom- mon diligence alone of thofe who conveyed the revocation, and performed their journey with aftonifhing celerity, that prevented However, all thofe prifoners who had been fent to Vor. VI. (C) Tenedos, * Thucydides, Uveed Tenedos,a thoufand in number, were tranfported to Athens, where they were all put to death, together with Sa/ethus, the Spartan General;. When the Athenzans reduced the rebellious city of Scione, on the Ifthmus of Fa//ene, all the males above the age of puberty were put to the fword, and the women and children dragged into flavery t. The Athenians, too, having taken the capital of the ifland of Melos, after an obftinate refiftance, all the males above fourteen years of age fhared the fame fate with the Scioneans. ‘The women and children were condemned to perpetual fervitude §. The Corcyrean feditions became proverbial, even among Greeks. ‘They began in the murder of a popular leader, in the fenate houfe, together with fixty of his friends. Many of the democratic party were intimidated, and withdrew them- felves to Athens. Thearrival of a Corinthian veffel and a Locedemo- nian embafly encouraged the ariftocracy to attempt the deftruc- tion of thofe who remained. The attack was made in an hour of full affembly, and the ftreets of Corcyra ftreamed with blood, The flaves rofe, and reinforced the democratic party. ‘Their numbers and fury, and the generous ardour of the women, ren- dered the caufe of liberty victorious. ‘The ariftocratic party, vanquifhed in turn, fet fire to the furrounding houfes, to prevent a purfuit, and the moft beautiful part of the city was deftroyed in one night. While the conteft raged, the altars, and the images of the gods, were furrounded by crowds of wretches, whom not even the terrors of a fuperftitious age could protect. The walls and pave- ments of the temples were bathed in blood. Many withdrew them- + Thucydides. + Thucydides, § Thucydides. Sy ete Eee [ otg. 3] themfelves, by voluntary death, from the rage of their enemies, The Spartans and Athentans, mutually affifting the parties with ' which they were conneéted, prolonged the fatal ftruggle. At laft the popular party decidedly prevailed, and, having got the whole body of their opponents into their power, threw them into a dun- geon. ‘From thence thefe unhappy people were dragged, in parties of twenty at a time, and compelled to pafs in pairs, their hands tied behind their backs, through two ranks of their enemies, armed with whips, prongs, and every inftrument of difgraceful torture. Thofe who remained in prifon were a long time ignorant of the fate of their companions ; but when they learned what was tranf- acted without, they refufed to quit their confinement, guarded the entrance, and, with one voice, called on the Athenians to kill them. Even this kind cruelty the Athenians refufed to their prayers. ‘The populace mounted the prifon walls, uncovered the roof, and overwhelmed thofe below with ftones, darts and arrows. Yer even this eventful {cene of horrors we fhall fee furpaffed, by the magnitude of the tragedy, the cruelty of the victors, and the acute and varied mifery of the vanquifhed, when we turn to Thucydides*, and perufe his account of the difaftrous clofe of the Athenian enterprife againft Syracufe,; an account which no perfon of fenfibility can read without a tear. I might multiply inftances, without end; but the foregoing, furely, may juftify my affertion,¥ that a fanguinary feverity prevailed in the national charafer of the Greeks. (C 2) I am * Lib. 7. [Miao I am aware that Grecian hiftory has not commonly been con- fidered in this point of view; fo the foregoing remark, though an obvious one, may, to many, appear fomewhat hazardous and novel. The Greeks were a glorious people! The ftupendous monuments of their genius, in Poetry, Sculpture, and Archi- teGure, which have triumphed over the ravages of time, infpire us with implicit veneration, and fo dazzle our eyes with their luftre, that we are unable, or unwilling, to turn them on any harfh and barbarous circumftance, any cruel and reproachful tranf- aétion, any thing calculated to diminifh our admiration, I might almoft fay adoration—of beings who could thus write—fpeak— and work; it is with pain that we endeavour to view the fpots of the fun—yet fuch is the fat; and to this fource muft we trace the fignal prevalence of the térrible and horrid, in Tragedy, as it firft came from the hands of its Grecian inventors. Ir is obfervable too, that Homer, the venerable father of the Greek drama, as well as of the Epos, though he occafionally fhews himfelf a mafter of the foft, the tender, and amiable, chiefly delights, and moft copioufly abounds, in the grand, the awful, and the dreadful. Ancient tragedy, which did but draw his inci- dents into ftage ation, and reduce his fpeeches into dialogue, muft have taken much of its colouring, character, and_ fpirit, from this prevailing tendency in its great archetype. “ Tu pater tu “ rerum inventor.” Ir will here be faid that we have remains of the Grecian fculpture, which fhew the moft cultivated mind, the moft refined { [ at ] refined and delicate tafte. Every thing is chafte and tem-— perate, correct and beautiful; there appears nothing, to fhew, that either the artift himfelf, or the models from which he wrought, could have been poffeffed by that ferocity of fpirit, or animated by that cruel or fanguinary difpofition, which I attribute to the Grecran moral charaéter*. The Apollo of Belvidere, the Medicean Venus, the groupe of Niobe and her children, befpeak. minds governed by fober judgment, awake to the fineft feelings, and fertile in the faireft ideas. The Greeks excelled no lefs in Painting than in Sculpture ; and though, ages on ages have rolled away, fince thofe pictures, which were the admiration of antiquity, have been loft to the world, a learned Roman, who poffeffed an exquifite tafte for the fine arts, has left us a copious and moft interefting account of the principal Greczan painters and_ their works. From the details of the elder Puy, it appears, that the fubjets of the Greczam: painting were, in general,.as tender, foft, and engaging, as the fubjeés of their tragic drama were terrible and afflitive.. Suppofe all traces of the Greczan hiftory and poetry annihilated, and that we knew and judged of them, only, by fome: of their ftatues, and thofe chapters in the thirty-fifth book of Piny that relate to their painters; fhould we hefitate to pro- nounce, from the fweetnefs of the countenances, and the attitudes. and characters of the figures, in what remains, and from the defcriptions of what is loft, that the Greeks were a people, not eely of fenfibility, but even of a mild and tender difpofition. How * To thew the correct judgment of Grecian artifts, 1 have heard it obferved that the» figure of Niobe, in the famous groupe, has fearcely any breafts, left an admixture of the - luxurious; [ 2] How can we reconcile the foregoing phenomena ?—Painting and Sculpture, dire@tly, as their chief obje@, exhibit the body ; hiftory and poetry, the actions, characters, and fentiments of man. As, the flern and ferocious predominated, among the Greeks, in the latter, fo the beautiful and the graceful, in an equal meafure, prevailed in the former; and Greece was the peculiar region of fine forms. In fat, as we approximate to the eaft, we feem to approach the favourite feats of Venus and the Graces; where human nature produces and rears her children, with a partial care, and diftinguifhed fondnefs. Tue perfonal advantages, which the Grecian youth derived from nature, were heightened by art. The fymmetry and ftrength of the young men muft have been improved, and the vigour and agility of their limbs encreafed, by a conftant ufe of the various exercifes of the paleftra, in which they were early initiated ; and the young perfons of both fexes were paffionately addicted to the exercife of dancing, and generally excelled in it. All the claffic writers, that have occafion to allude to the Grecian manners and cuftoms, take notice of the univerfal prevalence of this exercifein Greece. The dance is fuppofed to have been a component part of their theatrical reprefentations; it had a place, in many of their religious rites ; and their very divinities, Diana and her Nymphs, were reprefented as dancing “« Qnalis aut Eurote ripis aut per juga Cynthi,” &c. THESE luxurious and defirable in a part fhould counteract the effect in the whole; and dif- cordant feelings be excited. > Se et Ne EL Sa OPER ee PIA Ree oo Turse dances were of a moft varied and aétive kind, and muft have contributed exceedingly to the graceful eafe of the motions, and elegance of the attitudes of thofe who practifed them, and thus rendered them more happy fubjects for the painter and the ftatuary. Is it too fanciful, to mention, as a fource of external beauty, the extenfive ufe and powerful effeéts of mufic among the Greeks, who were attached to this divine art with an enthufiaftic love and devotion bordering on fuperftitious idolatry? their legiflators. and rulers, fenfible of the quick and ardent temper, and ferocious difpofitions of the people, encouraged the univerfal fondnefs for mufic, regulated the national harmony by law, and endeavoured to diffufe its practice and influence, as fedatives of fiery humours, and correCtives of turbulent and ungentle paffions. AZ/ton, who himfelf felt all the power of mufic, thus defcribes its effets on the antient Greeks: & The Dorian mood, “ OF flutes and {oft recorders, fuchas rais’d “To heighth of nobleft temper heroes old « Arming for battle, and inftead of rage “© Delib’rate valour breath’d firm and unmov’d, «© With dread of death to flight or foul revolt. Nor wanting power to mitigate and ’fuage ** With folemn touches troubled thought.” Sucn [ 24 ] Sucu being the power of mufic, to foothe and tranquillize the mind, it muft have tended to diffufe over the countenance an exprefiion of mild elevation and dignified compofure, and to give noble and uncommon airs to the heads, fuch as, in fadt, are found in fome of the countenances and bufts, that ftill remain to us from the hand of Grecran fculpture. _ Tuus, wherefoever the poet and hiftorian turned their eyes, they faw the fierce, the turbulent and cruel, in the moral part of human nature, and fketched their portraits accordingly, and adapted their productions to the tafte of their readers or auditors:: Far different was the cafe of the fculptor and the painter; with them all was delight and rapture; from the corporeal part of human nature, the faireft ideas of beauty and grace beamed incef- fantly on their enchanted eyes. As a further demonftration of the ferocious charaéter of the Greeks, I fhall mention here, though not precifely in its right place, an obfervation, which I ought to have made before, that the practice of expofing and deftroying new-born infants was very general among them; and, however cruel in itfelf, was not marked with infamy, or confidered as including in it any degree of moral turpitude. To convince us of this fact, we need not refort farther than to the comedies of Terence, who, we know, was a clofe imitator of Menander, or rather, indeed, it is to be fuppofed, that the comedies of the former were literal tran- flations from thofe of the latter. Terence, then, muft be con- fidered fad fidered as giving us a faithful picture of Grecian manners; and ‘ we find him fpeaking of the expofure of a new-born infant, as , a meafure of prudence—a laudable arrangement of domettic ceconomy : “ Audire eft operz pretium eorum audaciam, « Nam inceptio eft amentium—haud amantium, “« Quidquid peperiffet decreverunt tollere. ANDRIA. “¢ So, Meminiftin’ me effe gravidam, & mthi te maxumopere (Caicerc. “ Si puellam parerem, nolle tolli? Chr. Scio quid feceris; « Suftulifti.” HEAUTONTIMORUMENOS. Havine, thus, eftablifhed the faa, of an exifting ferocity in the character of the Greeks, let me, in the next place, endeavour » to point out, briefly, whence this difpofition arofe. We fhall readily trace its origin; if we confider the manner, in which Greece ‘ was originally peopled, by the fucceffive irruptions of migrating hordes. In very early times many different people, of whom the Greek writers, in the moft enlightened ages, could give no. fatisfatory account, over-ran Greece; fometimes mixing with the antient inhabitants, fometimes expelling them. Of the expelled, fome wandered in queft of unoccupied vales, or, in their turn, drove out the inhabitants of the firft country, that lay expofed to them, if they proved weaker than themfelves. Others retired to the neighbouring mountains, and thence, harrafling the in- Vou. VL (D) truders, ei truders, not unfrequently recovered, in time, their old pof- feffions *. Thus was Greece, in its early periods, in a ftate of perpetual outrage and piratical warfare. The moft powerful incentives, indeed, were offered to piracy, in a fea whofe innu- merable iflands and ports afforded fingular opportunity and con- venience for the pra@tice ; and,: in fact, the eftimation of piracy, as an honourable praétice, long prevailed among the Greeks. Thucydides obferves, that before the reign of Mrnos (who fitted out a fleet, and exerted himfelf, to clear the feas of plunderers and depredators) all the fhores, both of the Continent and the iflands of Greece, were nearly deferted ; the ground was cultivated only at a fecure diftance from the fea; and there, only, towns and villages were to be found. WHEN fomething of civilization, and more fettled forms of government, took place in Greece, it was divided into a vaft number of fmall ftates or kingdoms, all infpired with a degree of jealoufy and rivalfhip; all poffeffed with mutual hatred and animofity ; and all engaged in perpetual hofftilities againft each other. Thefe inveterate contentions, which were diffufed over the whole face of the country, and produced a variety of cruel and fanguinary fcenes, muft have excited ferocious difpofitions in the bofoms of the Greeks, and formed them to a certain feverity of character. Thefe accidental circumftances, in their fituation, which predifpofed them to pay a particular attention to military inftitutions * See the beginning of the firft book of Thucydides. [. @9 ] inftitutions, and martial exercifes, and: muft have made the love of arms general, and the charaGtersofia foldier\a ‘favourite one, introduced! a’‘mode of education, whichjnof cans Bi ests and perpetuated the wi of charagtery nc: yo @oUTUy f : 1) @rsdo yam : i » THis; was not da the, fitwation) of ; ie in, ap are. called sbén herdic» times, .im)other ywordsipin, ber age ofybaxbarifm,.,.but was literally the cafe, sist, the, soft polithed and j.refpe@able-ara of her ftory. The {mall monarchies were gradually overthrown, but the countryrfill remained dn lits:ftate, of divifion, and was iportioned out; into a variety of \fmall republics, moft of them ‘Democracies; eftablifhed on. the ‘ruitis: ofthe! Monarchies. Athens, an’ particulary!) which) took a diftinguithed lead, in. literature, ‘eloquence; and the fine arts, and gave the ¢on to the tafte of Greece was) purely democratic.» The prevalence of democracy, ‘therefore,maybe poiited out as) another powerful fource of feverity of \charaGer;. for this. form: of government. inceffantly feeds the pride of the individual. As a component, part of the fupreme majefty of the people, the fimple citizen is perpetually flattered, by the homage of the orator and the poet™*. “He'is the fupreme maker and expounder of the laws, the arbiter of /pedte and war, the difpenfer of power and honours., He fees generals and ftatefmen proftrate at his feet. “The luft of ‘domination inflames his head; the poffeffion of ’ power’ igaaes his heart; ‘all ety pa, Maiinst 40 Moitsaig 5 4 SOTIOn TO Bale F * We find many of their fubjeéts were feleGed by the Dramati¢ Poets on purpofe to pay a compliment to the Athenian people.—Oedipus Coloneus, for example. [ 28 ] the boifterous and ftormy paffions are called into exercife, and this, in fo much the higher degree, as the ftate of which he is a member is narrow and fmall, and the {phere of his adtivity confined. A democracy may exclude luxury, and favour a fim- plicity of manners; it may cherifh the ftern republican virtues, and maintain a rigid inflexible character; but it is certainly un- — favourable to the foft unbendings of domettic life, to the tender fympathies and mild affeCtions of humanity. Tuus have I endeavoured to point out fome of the caufes, which produced in the Greek tragic writers a predileCtion for fubje@&s in which the borrible fo violently predominates. And here I might difmifs my fubje@, with a remark, that the hiftory of nations, their forms of government and cuftoms, are not as much confidered, as they deferve to be, by thofe who undertake to criticife their writers: but two queftions arife fo naturally out of this difquifition, that I cannot forbear the beftowing on them a few lines. TuHeReE were, as we fee, caufes peculiar to themfelves that led the Greeks to a predilection for fubjeéts of horror, and a marked fele€tion of them, as the foundation of their dramas: but why do we, in thefe days of morbid foftnefs, when the affeGtation of humanity is carried to an excefs, under the deno- mination of fentiment; why do we receive pleafure, from the perufal of tales of horror, and the reprefentation on the ftage of fables, like Macbeth, in which the terrible is predominant -— And Lag Y And is the pleafure thus excited conformable to the precepts of ftri@ morality, and reconcileable with the interefts of humanity? The fame queftions are applicable to the pleafure we feel in the contemplation of fuch objets as the Laocoon and dying gladiator in fculpture, and (if I may mention them without lightnefs in the fame fentence) of the facred and dreadful fubje&ts of modern painting. The martyrdom of faints, and terrors of a crucifixion, Is it, that pleafure and pain, not only fo blend and meet, that frequently, we know not precifely, where the one begins, and the other ends, but, that the pre-exiftence of a certain degree of pain feems requifite, to give a poignancy to pleafure, and pre- difpofes the fenfes, by contraft, to feel the whole force of grateful objects? fome of the moft exquifite {trains of mufic are produced, by notes that run into an artificial difcord; reft is doubly pleafing after labour; preceding hunger is neceflary to make us enjoy food with a full relifh. An effet fomewhat analogous may take place, when the tale of woe, or the tragic reprefentations on the ftage, harrows up the foul. The reprefentation, however dittrefsful, is ftill a reprefentation. We inftantly recolle& that the fcene is fictitious: and this recolleftion not only abates our uneafinefs, but diffufes a fecret joy on the mind; a joy the more fenfibly felt on account of the painful emotion, sist inftantaneoufly Pace it, with bounds of feparation {carce difcernible. But are there, in reality, any bounds of feparation? Have not the uneafy paffions, even in the very time that we are diftreffed by [ ge | by them; and although the occafions are inftant and real, a feoret complacency mixed with them? Man contemplates his owm jex- iftence with a confcious pride and felf-complacency,, every, ac that affures him.of his being, and of his powers, is a fource.of fecret exultation. ; The exercife of the limbs not only contributes to preferye, the health of the body, but is attended by a degree of pleafure and exhiliration of the fpirits, Conformably to,a like order of nature, every exercife of the faculties of the mind, every exertion of the fentient principle, is accompanied by agreeable fenfations. The. acquifition of knowledge, the ‘exercife of fym- ‘pathy, of fortitude, of fagacity, a@s of benevolence, of gene- rofity and felf-denial (independent of the teftimony of approving confcience,) bring with them an internal fatisfaGion. What is more ftrange, yen the ungentle and criminal paffions have a certain unhappy pleafure, a difeafed and fickly Bs indeed, -appropriated to their activity. Fe Man being defigned, - his Maker, co active fandiions, this pleafure neceffarily and infeparably connected with the exerci € of his powers, “and the accomplifhment of the ends of his creation, fhews the wifdom’ of Him, who moulded his corporeal “frame, and infufed into it the animating {pirit. As exercifes of ftrength and agility are productive of pleafure to the robuft.and healthy, and contribute to preferve the ftrength and vigour of the body, exertions of memory, refletion, and ratiocination ‘are, at once, — a fource of mental enjoyment, anda _prefervative of mental fanity: and thus did He, who has beautified and ennobled all creation with the means and forms of pleafure, kindly ordain and RITE PERSE She SS re ee ie aa Fie gpe a and provide that an inert ftate fhould be irkfome and unfriendly _ both to the body and mind; aétivity, merely and fimply as fuch, _ a fource of enjoyment and vigour to both. Tue habitual exercife of his powers being thus congenial to to man, and effential to the well-being both of the individual and of fociety, it is to be obferved that tragical incidents moft powerfuily tend to excite the activity of the mind, by calling forth the various emotions of fear, pity, furprife, indignation and forrow. The magic power of fi€tion places us in fituations more affeGing and interefting, more fraught with energies of the foul, than’ thofe which commonly prefent themfelves in the calm and lével current of private life and domeftic occurrences, where the vieiffitudes of fortune are lefs rapid, and thé exceffes of guilt afid virtue are equally rare ‘with the extremities of mifery or happinefs. From whence does deep’ play’ derive its fafcinating power? Are we to attribute the fpirit of gaming to avarice? far from it; many of the perfons who are moft ftrongly poffeffed and infatuated by this propenfity, fhew, on other oceafions,; a total difregard of money. The fudden viciflitudes of fortune, the hopes and fears attendant on deep play, occupy the mind, fill it with agi- tation in which it delights, and banifh that dead calm of fixed repofe which is fo burthenfome and oppreflive to our nature. Wuy do fuch numbers croud to an execution? Is it from @ fpirit of inherent cruelty that prompts the fpe€tators to view with [| 3eed with pleafure the death or torture of their fellow-creatures? by no means. Women, and young perfons, whofe natures are commonly foft and compaffionate, run with as much avidity as. the reft on thofe occafions; and, however great may be the guilt of the fufferer, pity is the paflion moft generally prevalent in the bofoms of the multitude. Curiofity, and ftill more the ardent defire of having their feelings excited, are the incentives that drive the croud to thofe fcenes of death and forrow. Tur Romans were by no means a cruel people. Freemen were exempted from capital punifhment by their law; many inftances of clemency, and national mildnefs of character, occur in the courfe of their hiftory; yet they delighted to an extra- vagant degree in the combats of gladiators, and the fanguinary fpectacles of the Arena. Whence did this proceed? The Romans had lively paffions, and great fenfibility; and fuch was the plea- fure they experienced from their feelings being roufed and called into ation, that the horror and cruelty of the fpedtacle were withdrawn from view, and loft in the eager curiofity and intent activity of the moment. We may trace to the fame fource the fondnefs of the Portugue/e and Spaniards for their Bull-Fights. INDEPENDENT of the concomitant pleafure and felf-congra- tulation conneéted with the aétivity of man, merely as activity, a peculiar charm and fweetnefs are attached to the exercife of all our focial affeGtions. While the philanthropift laments the mifery of his friends, his country, the human race, and unable to relieve, beftows on mifery—all he has, a tear;—He yet rejoices in the generous re [3p] generous difpofition, and feels a fatisfaGion, fuperior to al! that refults from the moft indulged voluptuoufnefs. So engaging are the fympathetic feelings, and fuch the power of confcious refletion, to brighten up the face of forrow; that, as Dr. Hurd * juftly obferves, it feems, that Providence, in compaffion to human feelings, had, together with our forrows, infufed a kind of balm into the mind, to temper and qualify, as it were, thefe bitter ingredients. I pRocEzD, now, to the other queftion. I have heard it afferted that epic or dramatic productions on fubjeéts in which the horrible or atrocious is eminently predominant, fhould be reprobated, as a perverfion of the powers of poetry, unfavourable to the true interefts of morality, and to the improvement of the human mind. The advocates for this opinion contend that fuch narratives will, moft probably, difguft, or, at leaft, fail to pleafe the refined and judicious readers; and if it fhould happen to produce pleafure, that pleafure muft, in fome degree, proceed from, or be accom- panied by criminal, or at leaft unamiable emotions; and, fre- quently indulged, muft tend to make the nature ferocious. The mind, familiarized with horrors, will gradually lofe its natural deteftation of cruelty, and become hardened in ferocity, by a recurrence of fentiments, and a repetition of fpedtacles, that outrage every tender feeling. Subjects of this kind fhould be covered with a veil, and configned to eternal oblivion; inftead of Vou. VI. (E) their * Notes on Horace. [ | 344 their being ufhered to public notice, adorned with all the colour- ing of genius, and cloathed in the fafcinating garb of poetry. There are crimes and enormities of which it fhould not be fo much as fuppofed that our nature is capable. TuereE is fomething plaufible in the objeGion which I have ftated; but it may be urged, in reply, that no reprefentation of criminality or vice, is, in itfelf, and abftraétedly confidered, immoral ; it becomes fo by its relations to fociety, and from a confideration of its pernicious tendency, and probable effeéts ; from its being calculated to deprave and taint the mind, and produce an imitation of what it exhibits. To do this the features of vice muft be foftened, the portrait muft be flattering. What flattering portrait can there be of genuine and total deformity? It muft, indeed, require more than ordinary addrefs to make men in love with horrors. The more atrocious and monftrous the crime, the more difficult it will be to paint it in alluring colours. Of all the fubjeéts of poetry, and the other imitative arts, the horrible and ferocious ftand moft perfectly clear of any tendency to pervert the mind. The brutal and favage pafflions which pro- duce the moft dreadful tragic fcenes, fo torture the guilty bofom, that harbours them, that the criminality, which they prompt, is infeparable from its own obvious and immediate punifhment. Tue reprefentation of paffions leading to immediate torment of their fubjeét, and exciting horror and deteftation in the wit- neffes | | [ 035: J neffes of their operation, can poffefs but {mall powers of feduc- tion: they are thofe vices that tend to momentary gratification ; they are thofe illicit paffions which are remotely allied, or faintly fimilar, to virtuous emotions, (as luft to love, pride to magna- nimity, ferocity to courage, profufion to generofity), that are capable of being reprefented in alluring colours, and. poffefs an unhappy power of fafcination; and it is only the exhibition of fuch emotions, and their operation, that can be injurious to the interefts of morality, and, of courfe, criminal in the writer or the artift. The refemblance, at firft fight, to virtues, deceives the unwary mind, and tends to confufe the notions of right and wrong ; to erafe the bounds and divifions between vice and virtue. The dazzling portraits of feducing objects, and luxurious pleafures, -blind the judgment, and fill the heated imagination with impure images, The popular applaufes, and the pleafures that fometimes accompany vice and guilt, are immediately prefent , their mifchievous confequences, the future pain, remorfe and calamity, to which they lead, are remote, and concealed from view. Ir is faid that a frequent repetition of fuch terrible fubjeés as were not only reprefented frequently on the Grecran ftage, but were its peculiar favourites, may familiarize the mind with 4{cenes of horror, and leffen its natural tendernefs and fimilarity. No: there is no danger that outrageous and cruel paflions fhould become contagious. In their reprefentation the poifon will carry with it its own antidote. The acute feelings, the dreadful ca- (E 2) taftrophes, ‘gee oe) taftrophes, the univerfal fear and abhorrence that purfue the guilty monfters of the tragic ftage, prevent their fentiments from fpreading infe@tion, and their examples from exciting imitation. Though the Grecian Mufe delighted in the exhibition of out- rageous paffions and enormous guilt, fhe gave them no falfe colouring. She delighted to reprefent them, as they truly were, objects of horror, and caufes of mifery; not as themes of appro- bation, much lefs as fubje&ts of imitation. The powers of eloquence and poetry were employed, in heightening their natural aptitude to excite abhorrence, and in fhowing their fatal confequences, not in a wild attempt, to decorate or make them plaufible ; for the extravagant and bombaftic fury of the German ftage was referved the mad and mifchievous defign, of palliating, or em- bellithing, what ought to excite difguft and horror, and of cloathing rapine, impiety, and affaffination, in a fplendid and impofing garb: Vain and criminal attempt! Yet fuch is the tendency of the Robbers of Schiller, a performance which de- ferves equal reprobation, from found tafte, and from found morality. A smauu degree of refleGtion may convince us, that no habits of cruelty can be imbibed, no mechanical hardnefs of heart be contracted, by the perufal of works that relate thefe dreadful ftories in queftion; or from the being prefent at reprefentations of gigantic villainy, or ftupendous mifery, on the ftage. It is wifely ordained by the Author of our nature, in order to deter man from the commiffion of aéts of cruelty, that fuch ads not only ftrike the moral fenfe with a perception of their turpitude, but Li 39k but are alfo accompanied with circumftances that violently offend and grate on the exterior fenfes with fomething hideous and difgufting. The fight of a wounded and mangled bedy, the fereams and groans of a wretch enduring torture, from any caufe, whether accidental or defigned, are painful to the eyes and ears; intolerably fo to thofe of moft men. They produce a loathing and naufea, and even fometimes caufe perfons, not habituated to fuch fights and founds, to fwoon away *. Such fpectacles, however, by a frequent repetition, lofe much of their horror. Phyfical caufes, by repeated action, lofe their efficacy; it is quite the reverfe with refpe€t to moral caufes. The fenfes become habituated to objects that, at firft, offend them; and the difagreeable phyfical effets of fuch objects become lefs and lefs violent. Perfons in the army, whofe duty frequently leads them to be prefent at military executions, will be very fenfible of the truth of this obfervation. Wuen cruel acts and fubjects of acute and agonizing mifery are reprefented, through the medium of the imitative arts, the cafe is far different; on thofe occafions, there is always a perception, or perfuafion, that the exhibition is not real. That perception fteps in to our relief, in the moment of dif- trefs, and forms part of the pleafure, we experience at the reprefentation of a tragedy. At the real fpeétacle of cruelty the * Such was the effet of feeing two Negros burned in Jamaica on a perfon who defcribed his feelings to me. ie. Soe Th the mind muft meet the dreadful.certainty ; and muft harden it- felf, by an effort, toencounter it. This effort, often repeated, and accompanied with encreafed firmnefs of nerves, may, at length, degenerate into habits of cruelty. Eefides, the reprefentation is always lefs vivid than the reality. Strong enough it may be, to produce a momentary délufion, and excite terror and pity ; but not {trong enough, either, to overwhelm the fpirit, or to harden the nature. Though we are ftruck with horror, and melted into tears, at the reprefentation of a murder, on the ftage, we do not feel the fame phyfical effects ; we do not trem- ble, and perceive a ficknefs, a cold fweat, perhaps a faintnefs ; whereas, a perfon unufed to fcenes of cruelty would moft pro- bably experience thefe -inconveniencies ; were he'to fee a perfon {tabbed befide him, and falling at his feet; were he to hear his dying groan, or be f{prinkled with his blood. Wuerern confifts the true difference? In the real cataftrophe, the different fenfes, ‘fight, hearing, touch, all concur in bearing teftimony to each other, and afcertain the dreadful certainty beyond a poflibility of doubt. Where the imitative arts repre- fent any fingle action, or feries of actions, there is not the -mutual fuffrage, or-reciprocal.corroboration. Poetry and hiftory d4mitate ations and objects, by a very indirect agency of the fenfe of feeing, prefeuting to us words, which recall the ideas of what we have een and known; to which medium of words, as figns of ideas, the force of articulate founds is added, when com- pofitions are read aloud or recited. Painting imitates, through the fe. geal the medium of fight direétly, and of fight alone: fo does fculp- ture alfo, unlefs we admit the touch, to which fculpture, as an imitative art, may be faid to appeal, in fome faint degree; as for inftance, a blind man, by handling an exquifite ftatue, may form ideas of fymmetry, grace and beauty. Mufic, which, ina {mall degree, is an imitative art, is confined to the fenfe of hear- ing. As to the reprefentations of the theatre, which carry the delufions of the imitative arts as far as they will go, they are confined, to the fight and hearing, and want the fuffrage of the touch. Thus, we find, in every one of the imitative arts, there is a deficiency of teftimony, a certain link of the chain of evi- dence, that invariably accompanies the reality of exiftence, is ever wanting. I rinp I have, unawares, been betrayed into a degree of pro- lixity, of which I little dreamed; and, at the fame time, I fear, that I have but imperfectly exprefled my meaning, and failed of attaining that fullnefs and precifion, which the fubject deferves. I know not well- how to excufe my rafhnefs, in prefuming to obtrude this hafty fketch on the Academy; and, I truft, that the candour of. my readers will afcribe this temerity to the true caufe—a wifh to amufe them, at a vacant hour, and not to any difregard of their judgment, a ie ae 4n ESSAY on the VARIATIONS of ENGLISH PROSE, Jrom th REVOLUTION ¢o the PRESENT TIME. Sy THOMAS WALLACE, 4. B. and M.R. LF. A.; to which was adjudged the Gold Prize Medal propofed by the Royal Irifh Academy for the beft Effay on that Subjed. Ut filvee foliis pronos mutantur in annos ; Prima cadunt: ita verborum vetus interit cetas, Et, juvenum ritu, florent modo nata, vigentque. Horace. EEE ab: HE progrefs of language marks the progrefs of the human mind. They proceed together with equal ftep from the rudenefs of barbarifm toward that ftate beyond which improvement cannot go, in which language exhibits the higheft polith of elegance and accuracy, and the mind exerts all its faculties in their full force. So true is this, that there can fcarcely be found any period in the hiftory of any people when the ftate of their language did not accurately correfpond with the ftate of their polity and manners, and when a fagacious obferver might not have afcertained, with tolerable exadétnefs, the excellence and refinement of thefe from the qualities of their literary produ@tions. Hence the inveftigations of the philologift become ufeful as they furnifh important aids Vou. VI. * (F) to Read June 18, 1796 Eo 42 | to the refearches of the hiftorian, and the {peculations of th moralift. To this general rule there is, however, one exception. Long before the manners of the Greeks had reached that refinement, or their polity had been matured to that perfetion which con- ftitute a nation highly civilized, their language had become co- pious, energetic and corre@. In the compofitions of Homer we find, perhaps, as much ftrength, harmony and expreffion, as in thofe of any fubfequent Greek writer; and yet unqueftionably, in Homer’s day, Greece had made no very confiderable approaches towards excellence in the arts, fkill in government, or refinement in manners. But if in Greece we find an exception to the rule which marks on the feale of language the improvement of the national mind, in modern Europe we meet abundant illuftration of its truth. Here, it will be found, that until fettled government, founded on permanent fyftem, fucceeded the fluQuations of defpotifm or ‘anarchy, and, inftead of the ferocious and whimfical manners of the middle ages, introduced the milder and more rational habits of modern times, until, in a word} the light of philofophy thone in our horizon, and feattered the thick “darknefs which hung around the human intelle&, the language of"every people in Europe correfponded in coarfenefs and confufion with their modes of life and of thinking. Of this England: herfelf is perhaps the moft ftriking inftance. With aconftifution which vibrated long between oppofite extremes before it finally fettled in the middle point i; erg point where liberty as well as truth is found, the moral charaCer of her people was vague and changeful. Agitated long by civil contefts, and depreffed by the barbarous and deteriorating prin- ciples of the feudal policy, the human mind could not, and in fa& did not, until a very late period, emerge from that deep groffnefs into which by thofe caufes it had been funk. The language of England during thofe times correfponded with her circumftances. Rude and anomalous, at once fuperfluous and deficient, it was equally a ftranger to precifion and to grace: fixed by no ftandard, though it abounded in words, it was yet, becaufe thofe words were vaguely ufed, incapable of exprefling with accuracy any nice complication of thought. While men were unaccuflomed to think with precifion on moral topics, the whole clafs of moral terms muft have been of changeful and indeterminate: meaning ; and while thefe topics were not the frequent fubjedts of living fpeech or written‘difcourfes, thofe few but important words which : are ufed, not to defignate things, but to exhibit the various pofitions of the mind in thinking, to fhew the relation which it means to eftablifh between two propofitions, or the different parts of the fame propofition, muft have been awkwardly and often improperly ufed. Such a ftate of language could have exifted only where tafte was yet unknown, and the powers of the human mind yet uncultivated. Two caufes contributed to raife the Englifh language from this - degraded ftate. Firft the Reformation, which by obtruding on the attention moral fubjects of the moft momentous concern, made it in fome meafure neceffary for men to think with more (2) precifion [ 44 ] precifion and clofenefs: Secondly, the fubfequent difputes between the crown and people on the limits of prerogative and popular right, which continued from the time of Elizabeth to the revolu- tion, and which corroborated into habit that mode of clofer and more abftraét thinking which the Reformation had introduced. According to the theory we have adopted this change fhould have induced an improvement in ftyle: it did fo; the Englith language rofe rapidly from the low ftate in which it ftood in the beginning of the reign of Henry the Eighth, until, at the acceflion of William the Third, it had acquired a diftinguifhed degree of excellence. This excellence, however, was but comparative, and appears rather when we confider its former defects, than its fubfequent im- provements; for, from the time of the Revolution to the prefent day, a numerous fucceffion of fine writers have laboured with fuccefs to add to its elegance, copioufnefs and ftrength. What they have done, and how far they have raifed the Englith language above its former humble level, will be beft known by confidering the variations of ftyle which, within that period, it has under- gone. In order to give a hiftory of thefe variations it is not neceffary to engage ina differtation on the ftyle of every author of chara@er who has written within the period which we confider; nor indeed would fuch a work be practicable within the limits of a fhort efflay: it will anfwer the end at which we aim to point out the general charaéteriftics which have fucceflively diflinguifhed the ftyle of Englifh profe within that time without engaging in a minute defcription of the peculiarities of individual writers, except thofe [ °45 J] thofe by whom remarkable variations have been introduced, and whofe diftinguifhed excellence has procured for thofe variations a general adoption. Even this tafk, however, though lefs laborious and lefs prolix than the other, is not without its difficulty. Between the coarfe homelinefs of Burnet and the elaborate polifh of Gibbon ; between the loofe and uneven compofition of Til- - lotfon, in which the ray of genius is fo often obfcured by the medium through which it paffes, and the clofe precifion of Johnfon, through which the bright idea fhines with fteady luftre (if, indeed, it does not from the expreflion itfelf derive much of that luftre) the difference is great indeed, and to perceive it requires but little exertion of critical difcernment. But other writers have varied effentially the ftyle of Englifh profe between whofe re- fpeGtive merits the difference is neither fo great nor fo obvious: here lies the difficulty. The difference of oppofite colours is eafily feen, and not difficult to be defcribed ; but of the variety of mixing tints which lie between the two extremes to mark with accuracy the points of tranfition; to catch the almoft evanefcent diftinGtions between collateral fhades, and exhibit them with truth and fteadinefs to the eye, is a work for which talents lefs common are neceflary. TuoucH previous to the Revolution the ftyle of Englith profe had been greatly improved, it was notwithftanding very far from being faultlefs. Scarcely any fingle epithet, indeed, can be found to defcribe its errors. It was loofe, negligent, capricious, and inaccurate: the periods were long and complicated ; their parts clumfily connected ;. circumftances which were neceffary to be introduced [ 79o introduced into a fentence were generally placed injudicioufly ; and in many inftances claufes were appended which fhould have been formed into diftin€ fentences. Even of thofe writers who ranked higheft for compofition, the greater number abounded in fynonymes, a fure mark, not merely of negligent compofition, but -of loofe and inaccurate habits of thought. In the feleGtion of words they were either negligent or unfkilful, for, in a multitude of inflances, of two words which feemed to court choice, they chofe that which, by verging on burlefque, tended to degrade the fubject, rather than that which would have fuited its dignity. In metaphor they were copious; but their metaphors partook of the general character of their compofition : they were often ill fele&ted and frequently ill managed. Even when chance or choice pro- duced a good figure, it was fpun out through fo many minute circumftances, that judgment was difgufted and atttention fatigued. Hence in thofe writers may be found pages filled with materials, which, under the management of correct tafte, might have been raifed to fublimity or polifhed to elegance, but which, in their hands, degenerate into quaintnefs and puerility. The rules for regulating the ufe of metaphor they frequently inverted, and inftead of recurring to the metaphoric expreffion when the literal one was mean or vulgar, they, in many inftances, are found ufing trite and vulgar words metaphorically to convey, what in the literal expreffion would not have been deftitute of dignity. — Or wnity in their fentences they feem not to have been at all fiudious. It would be difficult to find any production of that day E. 4¢ 21 day in every page of which one may not find numerous inftances of two, and fometimes three or four, diftinct and independent thoughts crowded into one fentence: on the other hand, the in- ftances are, perhaps, not more rare, of claufes naturally and clofely conneéed, as parts of the fame whole, being divided into feparate periods. From this negligence of divifion, and inattention to minute circumftances, this ftyle has acquired an apparent freedom which in more polifhed and elaborate compofition is in vain [ooked for. The mind, regardlefs of accuracy in expreflion, feems to have been attentive only to ideas—The torrent of thought is poured forth without hefitation or reftraint, and rolls with at leaft a free, if not aclear current. But, on clofer examination, what appeared to be freedom of ftyle is often found to be only loofenefs of expreffion. What was gained in the eafy flowing of the fentence was loft by its want of perfpicuity, and when the period which filled the ear with harmonized founds comes to be confidered . by the underftanding it is perceived to be inflated with fuperfluous verbiage, or darkened by unneceffary prolixity. Tuat he who ufes two words to exprefs one idea either does not underftand, or does not attend to the meaning of the words he ufes, has often been obferved. Whatever truth there may be in .the remark, it is certain the writers of this period are fre- quently chargeable with this pratice. Nor were they deficient in precifion only, which is always deftroyed by the introduGion of i ee of fuperfluous words; they, perhaps, not lefs frequently violated propriety: they not only ufed words in pairs to exprefs fingle _ ideas, but of thofe words, of which the meaning was not thus propped by fubfidiary phrafes, the ufe was, in many inftances, manifeftly improper, and in ftill more vague. In the ufe of cor- ponding particles, too, the ftyle of 88 was faulty in a great degree +. Nor was it erroneous merely in the manner of con- neGing the component claufes of fentences together ; it was equally fo in the conne@ion of the fentences themfelves. Among the writers of this period it is that we find the pradlice moft prevalent of making which, at the- beginning of one fentence, a relative to the whole of that which precedes; and furely nothing in ‘ftyle can be more inartificial, nothing more repugnant to precifion or © to tafte. Besipes thofe more important defets, there were others which equally violated grace though they did not equally induce ob- feurity. Such are the frequent ufe of compound adverbs, where- upon, whereas, wherein, &c. the ufe of the obfolete pronominal adjectives mine, thine, before fubftantives; the formation of the fuperlative degree by e/ in pollyfyllable adjectives; and the fre- quent introdu@tion of colloquial idioms. Of thefe charges it will not be neceffary to give any other proof than a reference to the + Not unfrequently, for inftance, neither and or, either and nor are made to cor- refpond, and as is often ufed as a relative to a fubftantive with /ame before it, * in ‘© the fame manner as is related, &c.” [ 49 ] the writings of that day; if examples be wanted, they may be found thickly ftrewed in every page of them *. NotwitH- * A few of thefe examples are here fubjoined, taken from Atterbury, Burnet, Tillotfon, Petty, Temple, &c. in which, it is believed, all the faults which have been above attributed to the ftyle of this period are exemplified. Thefe inftances have not been feleéted with a view to exhibit the moft faulty paffages in the works of the refpe€tive writers, but are fuch as occurred on a cafual opening, and in fome one compofition of no great length, in each author. This mode of feleétion candour diGtated ; for where’is the author who has written much, in whofe writings invidious induftry might not collect a multitude of paffages cenfurable for their inaccuracy, or ridiculous for their weaknefs ? Tillotfon, in his fermon.on the incarnation, fays, ** God fhewed not fuch grace « and favour to the angels: the Son of God became mortal and miferable, and « fubmitted to all things that are accounted moft miferable and calamitous in our na- ture.” ‘¢ He was the meekeft endurer of fufferings that ever was.” Synonimes— a flat expreffion, and a drag on the fentence. “‘ Which, how it can be fo eafily conceived upon any other fuppofition, I muft ¢ confefs I am not able to comprehend.” Inartificial connection and bad grammar, which being referred to the whole of the preceding fentence, and. {tanding without a verb. s¢ The tongues of men and angels, ‘as they are faid to be a worthlefs gift in com- “ parifon of charity, /o are they not able to fet out Aal/f the worth and excellence of “ it.” s¢ As it makes a kind of atonement to God for all the faults we commit, /2 doth it s© make an amends to us for all the trouble we are at.” Thefe two paflages exemplifya poize between the two parts of a fentence by as and /2, which though perhaps not very faulty in itfelf becomes cenfurable from the frequency of its occurrence in the writings of this «ra. They are befides chargeable with fynonimes, with baldnefs of expreffion, with bad grammar and colloquial fami- - larity. In Petty’s Tra& on the Conftitution and Laws of England, we meet with the fol- - lowing : f «© The next article may require a more efpecial care and confideration of the juftices ; “« and here I judge we are no way deficient in Jaw, but altogether in the execution Vou. VI. , G 66 Of [ so ] NovrwitusraNbiInG the very general prevalence of thofe errors in the ftyle of Englith profe at the period of the revolution, it muft not “ of it. We fhould not fay our /aws want reformation when ’tis only curfélves «¢ that want if. If our lawgivers never more amend cur laws, we may mend cur ways ‘< with thofe we have already. Care fhould be taken to keep our highways in repair, «‘ when the nation has been at the charge to pué them in good repair.” Synonimes and puerile antithefes, « Hence I fhall divide and diftinguifh juftices of the peate into honorary and aéting.” ‘¢ But there is no neceflity for that neither, &c.” Synonimes and a double negative. Burnet, in his fermon atthe Rolls Chapel, * That we ought of to truft neither to t¢ our reafon wor our fenfes.” Double negative. ‘* To demand an equity.” An improper ufe of the word egwity, as well as a harfh and coarfe expreffion. «© On the contrary, in dark ages, nothing was more common than pretended appa- “ ritions and voices to confirm the impofture; which have vanifhed in an age that is “¢ more apt to fufpe& and examine {uch things, as the illufions of our dreams fly from. “© us whenever we are awake.” This fentence is perfeétly charaéteriftic of the ftyle of 88: the before impofture is improperly ufed, as it is impofture generally which he fpeaks of, and to which therefore the definite article cannot be applied: the relative which is made to agree, not with the noun immediately preceding, but with apparitions and voices: to both of thefe nouns the verb vanifh is applied, with the common inaccuracy of the writers of this period, though it can in propriety agree only to the firft, for no man would talk of a vice vanifbing. What follows in this fentence fhould have been matter for a new period, for to have defcribed the pre- valence of fuperftition through feveral ages was enough for one fentence, and to defcribe the fuperiority of the prefent age another would not have been too much. Su/ped and examine, though certainly not fynonimous, for many who fufpe& will often not take the trouble to examine, yet, in the ufe that is here made of them, appear to be joined only for the fake of company. In the laft claufe when would probably be much better both for found and fenfe than whenever. “ If reafon be « once given up, no wonder if wealth and other fecular advantages were *hrown «© into the bargain.” A figure more fitted for the fhop or the fhambles than the wri- tings of a bifhop. [ser oy not be underftood that excellence in compofition was at that time no where to be met with. Dryden ftands a great and illuftrious inftance In his Tra@ on the Gunpowder Treafon, he talks of ‘ the head contrivers of it, and of § heading the party that was thereabouts.” «¢ They that knew their own work and were aligned to fome particular office, . “ might know no more what they did, than every /ittle officer in a regiment is. “ acquainted with the debates and refolves of a council of war.” Two inftances of impropriety, every for any, and Jittle for petty. Of debates and refolves one is fu-- perfluous. “* Infomuch that full and clear evidence as we might have had, &c.” “ It was ne-- “ ceflary for them to /land upon their own vindication, and to vindicate themfelves after « the moft folemn way imaginable.” Inaccurate connection and tautology. “¢ Till this order was univerfally difo/ved and extirpated.” Synonimous. “ If fo be « it might be done.” WVulgarifm. «I fhall fhew they might /fand upon their own “‘ innocency and juftification to ¢he death.” In his Letter on the Difcovery of the Plot, he fays, * the Church das not been aéfed with the fame fpirit, nor followed the “ fame doétrines, &c.” Acfed ufed improperly for aéfuated, and mor ufed for or. «© Thefe doGtrines will foon be taken off the file.” A trite and degrading metaphor. Atterbury on the Miraculous Propagation of the Gofpel, fays, (and certainly it is not one of his moft faulty fentences) « Its original fuccefs was a perpetual flanding mi- “racle of fufficient force to evince its divine extraCtion, from the beginning of - «© Chriffianity to the end of it.” It was unneceflary to fay, that what was a perpetual miracle was alfo a ffanding one; and that is unqueftionably carelefs and inaccurate compofition, in which one finds fuch a claufe as this, where he talks of ‘ the “ extraction of Chriftianity, from the beginning to the end of it. Chriftianity, too, is here © ufed for the Chriftian era. «© The Mofaic law was intended fora fingle people, who were to be fhut in, as i “ were, by a fence of legal rites and typical ceremonies, and to be kept by hat means S¢ fepavate and unmixed till the Meffiah fhould appear, and break down the fence, and \ “© Jay open the enclofure.” This paffage exemplifies more faults than one; it will fuflice however to remark, that it contains a metaphor expanded till it becomes vapid and. puerile. (G.2,) On, [ 52 ] inftance of correctnefs and elegance in profe, as well as of harmony and fire in poetry. His Prefaces and his Critical Effays are written in On the power of charity he obferves that this virtue, ‘ if it have the reins given to it, will run away with the rider.” This is burlefque, and he is not much fhort of it when he tells us, that «* God has ¢wifted our duty and our intereft together,” and that the other virtues ‘ /tand on their own bottom.” “‘ Charity is the queen of virtues; the reft are in her train and retinue, as it were, conftantly attending her, appearing and difappearing.” Another inftance of fuperfluous words, over-wrought metaphor, and of a heavy adjeCtion clogging the fentence. In his fermon on the Unity, Tillotfon talks of the Sun, as “ the moft wor/bipful of all fenfible beings,” as if he wifhed to raife a ludicrous idea in the mind rather than to exhibit that luminary ‘ as the eye and foul of this great world.” Of the heroes he fays, that “ for their great and worthy deeds, when they lived upon earth, they were «¢ diftinguifhed by pofthumous honours.” But it would be fuperfluous to dwell on fuch paflages as thefe while one can find fuch a fentence as the following, which concenters in itfelf almoft all the errors with which we have charged the ftyle of 88. «* One cannot deny the frame of this world which he fees with his eyes, though from ¢ thence it will follow that either that or fomething elfe mutft be of itfelf; which yet, as “I faid before, is a ¢hing which no man can comprehend ow it can be.” In this fen- tence it is difficult to collet to what antecedent shence is referred; it can properly refer only to the preceding propofition ‘ one cannot deny the frame, &c.” and refer- ring to that the conclufion will not follow; it muft therefore refer to “ frame,” and the conneétion in that cafe will be obfcure and illogical. ‘* Which yet, as I faid before, is a thing, &c.” Here we find, after two or three readings, that the relative which is connected with the /a/ clau/fe of the preceding member of the fentence as an antecedent, and the propofition, contained in that claufe, is called a thing; the latter which is’ a relative to this ¢hing, that is to the foregoing which—that is to the propofition in the Jaft claufe of the firft member of the fentence; and this latter which {tands without any verb, for the claufe how it can be” ftands as the objective cafe to ‘* no man can com- ‘6 prebend.” Sucha fentence feems the ne ultra of loofe, confufed and negligent ftyle. From Tillotfon. we fhall give but two other examples—the firft to illuftrate the inartificial manner in which he divided his fentences; the other, from his difcourfe on the difficulty of reforming vicious habits, to prove how extremely attached he, as well his contemporaries, was to the praétice of giving to every word a fellow. co The Ga ak in a manner which, as has been obferved even by the faftidious Johnfon, would not, even at the prefent day, after the lapfe of more “¢ The temporal calamities and /ufferings with which the Jews had been haraffed, “ had weaned them from the confideration of temporal promifes, and awakened their «* minds to more ferious thoughts of another world. It being natural to men when they « are deftitute of prefent comfort, to fupport themfelves, &c.” Evidently thefe two fentences fhould have been molded into one—the fenfe, as well as the expreflion, re- quired it. ‘ From his great mercy and pity declared to us in all thofe gracious means and “¢ methods which he ufeth for our recovery, and from his readine/s and forwardne/s after “ all our rebellions, &c.” « The cu/fom and frequent practice of any thing begets in us 2 46 facility and eafinefs in doing it; itturns the ffream and current of our ations fuch “a way.” Sir William Temple has been confidered as one of the fineft writers of this period ; — the following paflages, from this Tract on the Low Countries, with which we fhall conclude thefé extraéts, evince that he is not exempt from the common errors of his cotemporaries : “ Charity feems to be very national. Among the many and various hofpitals that “ are in every man’s curiofity and talk that travel this country, I was affected with none « more than that of Euchuyfen for aged feamen, which is contrived, jfinifhed and “ ordered as if it was done with the kind, intention of fome well-natured man, that thofe who had paffed their qhole lives in the hard/bips and incommodities of the fea « fhould find a retreat ftored with all the ea/es and conveniences that old age is capable “ of feeling or of enjoying: for, one of thofe old feamen entertaining me a good “ while with the plain ftories of fifty years voyages and adventures q4ile I was “¢ viewing the hofpital and the church adjoining, I gave him a piéce of their coin «¢ about the value of a crown piece: He took it fmiling,’ and offered it to me again, «¢ but when I refufed it, he afked me what he fhould do with money—for a// that ever they wanted was provided for them at their houfe: I left him to overcome his « modefty as well as he could, but a fervant coming after me faw him give it toa € little girl that opened the church door as fhe paft by him; which made me refle&t, &c.” © . «¢ Wine to hot brains being like oil to fire, and making the fpirits, by too much “ lightnefs, evaporate into /imoak and perfett airy imaginations, or by too much head, “ rage into frenzy, or at leaft into humours and thoughts that have a great mixture s© of it.” [ g4 J more than a century, be thought obfolete, and might, even now, be preferibed as a model of many of the graces of compofition. * Its eafy and natural flow, its gracefulnefs and rich variety, cannot, after all the improvements which in fo long a period have been made in our language, be eafily execeded by modern tafte and fkill in writing. Yet even Dryden himfelf, with all his merits,. affords fome inftances, though certainly they are but thinly featter- ed, of moft of the faults of which his contemporaries are guilty. In his Effay on Heroic poetry, for inftance, we find fuch a paflage as the following: ‘ For their (the poets) fpeculations on this fub- ‘Feet are wholly poetical; they have only fancy for their guide, “ and that being /barfer in an. excellent poet than in a heavy, * phlegmatic gownfman, will fee farther in its own empire, and pro- * duce more fatisfaétory motions on thofe dark and doubtful problems.” He is fometimes ungrammatical, and fometimes violates propriety, as when he fays “ to which I have added fome original, which, “ whether they are equal or inferior to my other poems az author “ is the moft improper judge, and therefore I leave them wholly “ to the mercy of the reader.” But it would be invidious to enumerate examples of this kind in fuch an author as Dryden, whofe beauties, both in profe and poetry, fo far out-number his defeéts, and whofe fuperiority over his cotemporaries is too evident to the moft ordinary reader to be denied or doubted. Ir the charaéter of this period for ftyle could be faved by the merits of one or two individuals, Spratt might be adduced with Dryden to vindicate the tafte of his age. In his works may be found paffages nicely corre@t and of extreme elegance. In general _ he L 4 he avoids fynonimes, makes a happy fele€tion of words, and forms them into fentences of much harmony. Though ‘it cannot perhaps be truly faid that in the management of his metaphors he is always happy, yet it would be difficult to find in him fo many inftances of over-wrought, or ill-chofen figures, as in any of his contemporaries equally voluminous. In the conneétion of his fentences he probably is not fo blamelefs. His hiftory of the Royai Society has been praifed for its compofition, and that it is ftill read is a proof that it deferves the praifes which have been given to it; but I am not fure that in his lefs celebrated * Account of the Plot,” there do not occur paffages which better merit the charafter of fine writing than any which are to be met in his hiftory of the Society, or any other of his tracts. Hap not Hooker written too early; to rank among thofe writers of whom we have been fpeaking, he would have afforded ample -fabje& of commendation for purity of language and precifion in ftyle ; in other inftances, perhaps, fome for cenfure. At prefent it is enough to obferve that by comparing the writings of Hooker with thofe of the beft authors of 88, it will appear that in the intervening century much lefs improvement had: been effected in the ftyle of Englifh profe than has taken place in the interval between the Revolution and the prefent day. Wiru all thefe faults in ftyle, the writers of this period are to be reckoned among thofe who have raifed moft high the literary character * Hooker died in the year 1600. [ 56 ] chara@ter of their country. They have, indeed, a claim to higher praife than that of polifhed compofition ; they abounded in good fenfe, and in fine genius, and had an extenfive knowledge of the lettered and of the living world. Let not, therefore, the flimfy and fuperficial, though, perhaps, more accurate writer of modern times, pretend that becaufe his trifles fparkle with more brilliancy and exhibit a fmoother furface, they are, therefore, fuperior to the rich and folid, though lefs polifhed, produétions of this period : our anceftors wrote for fame as they ftrove for liberty, with the ftrong minds of men more attentive to things than words; we, perhaps, in the fickly tafte of modern refinement, prefer form to fubftance, and fubftitute elegance of expreffion for found fenfe. Witn Addifon and his contemporaries originated the firft vari- ation that occurred, fubfequent to the Revolution, in the com- pofition of Englifh profe. Though the diffufe ftyle ftill continued to prevail, it was no longer the loofe, inaccurate and clumfy ftyle by which the compofitions of his predeceffors were difgraced. So great, indeed, was the improvement, and fo ftriking the variation introduced by Addifon, that he who compares the pro- dudtions of this elegant writer with thofe of the beft writers of 88, will find it difficult to avoid furprife, how, with fuch precedents before him, he could have rifen at once to a degree of excellence in ftyle which conftitutes him a model for imitation. The forced metaphor, the dragging claufe, the harfh cadence, and the abrupt clofe, are all of them ftrangers to the works of Addifon. In the ftructure of his fentences, though we may fometimes meet marks of or ae of © sate yet we can feldom find the unity of a fentence violated by ideas crowded together, or the fenfe obfcured by an improper connection of claufes. Though, like his predeceffors, he frequently ufes two words to, exprefs one idea, yet, in this inftance, he is lefs faulty than they ; and, among the variations introduced by-him, we muft reckon a more ftrict attention to the choice of words, and more precifion in the ufe of them. Or figurative language Addifon, has always, been acknow- ledged the moft happy,model. _He was, indeed, the .firftof the Englifh profe writers who. were equally excellent in the choice and in the management of their, figures... Of thofe -who~ pre- ceded him, it has been obferved that they were frequently unhappy in both inftances ; that their metaphors either were, fuch as tended rather to apts their fabje than to give it dignity and elevation ; or that when they were well chofen, they. were {poiled by the manner in which they were conducted, being detained under the pen until their fpirit evaporated, or traced until the likenefs vanifhed. Addifon avoided both faults: his metaphors .are felected with care and tafte, or rather feem to {pring fpontaneoufly from his fubject ; they are exhibited to the mind but for a moment that the leading traits of fimilitude may be obferved while minute likenefles are difregarded—like.thofe. flafhes of cleric fire which often illumine a Summer’s night, they fhed a vivid, thongh-a tranfient luftre, over the {cene, and pleafe rather by the brightnefs -with which they gild the profpee than the accuracy with which they, fhew its beauties, Vor. Vik Fit EF ) SHOULD aR ae SHouLp it be doubted, whether the improvement of ftyle which took place in the time of Addifon—that variation which fubftituted uniform and corre& neatnefs in compofition, for what was loofe, inaccurate and capricious, be juftly attributed to him—the doubt will vanifh when it is remembered that in no work prior to his time is an equal degree of accuracy or neatnefs to be found, and even among thofe periodical papers to which the moft eminent of his cotemporary writers contributed, the Ciro of Addifon ftands eminently confpicuous. It was, indeed, from the produc- tions of that claffic and copious mind that the public feems to have caught the tafte for fine writing which has operated from that time to the prefent, and which has given to our language perhaps the greateft degree of elegance and accuracy of which it is fufceptible—for if any thing is yet to be added to the improve- ment of the Englifh ftyle, it muft be more nerve and mufcle, not a nicer modification of form or feature. — fectantem levia, nervi Deficiunt animique : Wut e Addifon was communicating to Englifh profe a degree of corre¢ctnefs with which it had been, till his time, unacquainted, Swift was exemplifying its precifion and giving a ftandard for its purity. Swift was the firft writer who attempted to exprefs his meaning without fubfidiary words and corroborating phrafes. He nearly laid afide the ufe of fynonimes in which even Addifon had a little in- dulged, and without being very folicitous about the ftructure or har- mony [ 89 4] mony of his periods, feemed to devote all his attention to illuftrate the force of individual words. Swift hewed the ftones, and fitted the materials for thofe who built after him;, Addifon left the neateft and moft finifhed models of ornamental architeGure. Or the charaéter which is here given of thefe two writers it is unneceffary to give proof by quoting paffages from their works, for two reafons; the one is; that their works are in the hands of every body; the other, that the qualities which we attribute to their ftyle are-fo obvious that it were fuperfluous to illuftrate them. Besives thofe firft reformers of the ftyle of 1688, there were others, contemporary with them, who contributed to promote the work which they did not begin. Bolingbroke and Shaftfbury, like Addifon, were elegant and correct, and feem from him to have de- rived their correcthefs and elegance. Of this, fo far as it concerns Shaftfbury, there is a moft remarkable proof*. His Tract, entitled «© An Enquiry concerning Virtue,” was in the hands of the public in 1699, in a ftate very different indeed from that in which his. lordfhip publifhed, in the year 1726, It partook of all the faults. which were prevalent in the ftyle of that day, but particularly in the length of its periods, and the inartificial connetion of them. In the edition of 1726 thofe errors were in a great meafure corrected ; the fentences are broken down, and molded with much (H 2) elegance See Blair’s LeCtures.. [ 60 ] elegance into others lefs prolix; and fharing in fome degree all the beauties of Addifon’s ftyle, except thofe which perhaps his lordfhip could not copy, its eafe and fimplicity. Indeed Shaftfbury, in the form in which we now have him, appears to be more attentive than Addifon to the harmony of his cadence, and the regular con- ftruction of his fentences; and certainly if he has lefs fimplicity has more ftrength. Bolingbroke, too, participating in correctnefs with Addifon, has fome topics of peculiar praife; he has more force than Addifon—and—what may appear ftrange, when we con- fider how much more vehement and copious he is, has more pre- cifion. The nature of the fubjeéts on which Bolingbroke and Shaftfbury wrote naturally tended to make them more attentive to precifion than Addifon. ‘Thefe fubje€ts were principally ab- ftra& morality and metaphyfics—fubje&ts of which no knowledge can be attained but by clofe and fteady thinking, or communi- cated but by words of definite and conftant meaning. ‘The lan- guage of Addifon, however elegant in itfelf, or however admirably adapted by its eafy flow to thofe familiar topics which are gene- rally the fubjeéts of diurnal effays, was too weak for the weight of abftra& moral difquifition, and too vague for the niceties of metaphyfical diftin@ion. It was fitted for him whofe obje& was to catch what floated on the furface of life; but it could not ferve. him who was to enter into the depths of the human mind, to watch the progrefs of intellectual operation, and embody to the vulgar eye thofe ever fleeting forms under which the paffions vary. ir [ Gr fi Ir might afford much matter of curious {peculation to the phi- lologift, to enquire whether it was this aptitude in the language of Addifon to thofe light topics of writing in which he excelled that directed his choice of fubje&ts, or whether his peculiar caft of ftyle was formed by his choice of fuch topics. Probably both operated, or rather both were effects of the fame caufe. A man’s caft of thought gives a charadier to his ftyle, and where choice is free, the fubje& for compofition is determined by the complexion of the mind. But whatever might have been the caufe of Addifon’s excellence in point of ftyle, or that of his compeers Bolingbroke and Shaft{fbury, it is certain that for fome time pre- vious to the revolution there had been caufes in operation which neceffarily tended to produce a general improvement in the ftyle of Englifh profe. Some of thofe have been already hinted above ; there are others that deferve mention. Not only had the religious and political difputes which had called forth and in fome mea- fure fharpened the intelle& of the nation, introduced a pofitive improvement in compofition—they did more; they fowed the feeds of ftill farther and more important improvements, by dif- fufing a tafte, and in fome meafure creating a neceflity for ftudy. Claffical learning had been revived by the reformation. Inftead of ‘the barbarifms of monkifh Latin, the public had gotten a tafte, not only of the fine writings of antient Rome, but of the compo- fitions of the poets and hiftorians of Greece, who had been fo long buried beneath the rubbifh of popith ignorance. Literary contefts, created by political differences, diffufed ftill more widely a know- ledge of thofe beft models of compofition—for on a queftion of government [ 62 J government or of liberty, to whom could’ reference be fo: fafely or naturally made as to thofe who were fuppofed to have known beft the theory of the one and the practice of the other? In faa@, claffical learning was perhaps never more cultivated in England than for fome time previous to the revolution, and in fuch cir- cumftances it was impoffible that ftyle fhould not have improved in its moft effential qualities. Ir has been already obferved that the ftyle of Dryden was in almoft every point of view much fuperior to that of the writers of his day. So far then as he exhibited to the public better models of profe compofition, fo far muft he have contributed to improve the ftyle of that and the fucceeding period. But exclufive of this excellence in his writings, the nature of the fubje@s of which he treated in many of his profe works contributed ftill more to im- prove the tafte of his countrymen in compofition. Many of his prefaces are profeffedly critical differtations on various kinds of writing, and in thefe he communicated to the public, even to thofe of them who were not the learned, fuch true principles of tafte, and found rules of judgment, as muft neceffarily have acce- lerated their approach to that accuracy and elegance which Englifh profe fo fhortly afterward began to difplay. THERE was a ftill more immediate caufe of improvement in the ftyle both of his Profe and Poetry. The polifh and refinement of the court of Charles II. of which the diffolutenefs was the grave of the morality of the nation, was perhaps the parent of much of that ele- gance which charaéterized Addifon, and thofe authors who cultivated our or Fe [ 6% ] our language in the fucceeding reigns. The public tafte was im- proved by ingrafting the light beauties of French literature on the folid ftock of Englifh learning ; and then by a happy concur- rence of circumftances our language came to unite copioufnefs and ftrength with grace and elegance. So wide was the variation of the ftyle of Addifon and his cotemporaries from that of the period of 1788, that no fub- fequent variation was fo great or foobvious. His found judgment and fine tafte raifed the language in which he wrote, at one effort, as much above its former level as the continued improvements of fucceeding writers raifed it above that at which he left it. Im- provement, however, it did receive, and among thofe who con- tributed to that improvement the amiable Goldfmith ‘holds, perhaps, the higheft place. Poffeffing all the qualities which conftitute a fine writer; intelle@, erudition, and above all, tafe in compofition; diftinguithed equally by the mild fertility of his imagination, ‘and the corre& copioufnefs of his language, he feems to ‘have carried the improvements of Addifon’s ftyle almoft as far .as they could be ‘carried. But even in this its higheft flate of excellence ‘it ‘was ftill the ftyle of Addifon, diftinguithed by nothing but a greater degree of thofe qualities for which the writ- ings of -Addifon were remarkable. As. it would, therefore, be improper, perhaps, to'call thofe' improvements variations in ftyle, it will be permitted in an effay of this nature to pafs them over without more particular notice, and come at once to thofe changes which have been introduced by Dr. Johnfon—the coloffus’ of Englith: literature—the multiplicity and.excellence of whofe [ ae J whofe writings have raifed up fuch an hoft of imitators, of friends and of enemies. Jounson varied the ftyle of Englifh profe in three inftances— in the form of its phrafes, in the conftruction of fentences, and in diétion. To defcribe accurately thefe variations were to give an Effay on his ftyle and writings; and this has been already fo ably done by a member of this Society * that it would be unfafe and unneceffary again to attempt it. The nature of this Effay, however, requires that on this fubject fomething fhould be faid, not to point out his beauties or defeéts, but merely to mark the variations which he has introduced. Or the changes in phrafeology introduced by Johnfon the principal is the fubftitution of the fubftantive expreffing the quality in the abftra& for the adjeCtive exprefling it in concrete, or, the verbal fubftantive for the verb itfelf. Thus when he fays that “ none of the axioms which recommend the antient fages to “‘ veneration feems to have required lefs extent of knowledge “ or lefs perfpicacity of penetration than” the remark of Bias, “ 0, garcoves xaxo,” he fubftitutes extent for extenfive, and perfpicacity for acute: and when he makes Dicaulus fay that “ every “ tongue was diligent in prevention or revenge,’ he makes him fay what in the language of other men would have been “ diligent “ to prevent or to revenge.” By * Vide Dr. Burrowes’ Effay on this fubje& in the Memoirs of the Royal Irith Academy. AT RR ee ET OE HOY LIS IS TET ge By the frequent ufe of this phrafeology Johnfon has given a degree of ftrength and folidity to his fentences which he could have given them, perhaps, by no other means, ‘The advantages of it have been pointed out in the eflay above alluded to; the cafes in which it may properly be ufed, and the inftances in which Johnfon has ufed it improperly, are there mentioned, and to mention them again would be but to repeat what has already been eloquently faid. In the conftruCion of his fentences he has many peculiarities. One of thefe is, the habit of placing the oblique cafe at the beginning, and introducing between it and the word by which it is governed fome qualifying circumftance. Inftances abound: “ Of two objets tempting at a diftance on contrary fides, it is im- “ poffible to approach ome but by receding from the other.” — ‘© Many conclufions did | form, and many experiments did J ¢ry, &c.” “ From the hope of enjoying affluence by methods more com- “ pendious than thofe of labour, and more generally practicable “‘ than thofe of genius, groceeds the common inclination to experi- ‘* ment and hazard,” &c. &c. Or this pratice the principal effect feems to be that of ftrongly imprefling the mind by exhibiting firft to its view the principal objet of the fentence. In grave compofitions it gives a tone of dignity and ftrength which admirably correfponds with the nature of the fubject, and with refpe& to found its advantages are equally important, as by affording a liberty of tranfpofition Vout. VI. en As ea it \ [ 66 ] it enables the writer to arrange his claufes in the moft harmo-° nious manner. The difadvantages of this practice are, that - it gives a formality to compofition which is not adapted to the eafy familiarity of the lighter kinds of writing, and, by leading too frequently to tranfpofition, may fometimes induce obfcurity. Ivy may be reckoned among his peculiarities of this kind, that he crowds together, generally at the end of his fentences, a number of phrafes fimilarly conftru@ed. Perhaps there is no mode of expreffion of which he gives fo many examples. “ He “ who is unfurnifhed with any arts that might amufe his leifure “ is condemned to wear out a taftelefS life in calamities which “ few will hear, and which none will pity.’ “ A carelefs glance on “ a favourite author is generally fufficient to fupply the firft hint or ‘“« feminal idea, which enlarged by the gradual accretion of matter ftored in the mind, is, by the warmth of fancy, eafily expanded into flowers, and fometimes ripened into fruit.” “ to whom we funk into humble companions without choice or influence, expected only fo echo their opinions, facilitate their defires and ac- company their rambles.’ ‘* When the trader pretends anxiety about the payment of his bills, and the beauty remarks how frightfully fhe looks, then is the lucky moment to talk of riches, or of charms, of the death of lovers, or the honour of a ‘ merchant.” ee ce Tuere is, probably, no mode of conftructing a fentence better calculated than this for introducing, without confufion or obfcurity, a great [.. 6a] great number adjunct ideas. To a mind ftored like that of Johnfon with much of the beft learning of antient and modern times, and with that knowledge which only an attentive obfervation of life can beftow; to a fagacity like his, which faw almoft intuitively through a chain of confequences, and to a comprehenfive mind, fuch as he poffeffed, which took in at a glance a great number of collateral circumftances, this ftructure of a fentence was a neceflary inftrument of communication; it gave fimplicity to what was complex, and unity to what was manifold. But let the writer who has not Johnfon’s ftock of ideas, his fagacity or his com- prehenfion, beware of imitating. When trivial circumftances are enumerated in this pompous phrafe, or words not of difting meaning exhibited in long-founding triods, good fenfe and good _tafte are difgufted: the dwarf in giants armour is more contemp- tible than in his native littlenefs. we Bur however the ftyle of Johnfon may be characterized, or however Englifh profe compofition may have been improved by thefe peculiarities of conftruction, it is by his nice felection and corre€: ufe of words that Ze is principally diftinguifhed, and the Englifh language principally benefitted. The ftudent who, in tranflating Virgil into other Latin, complained of the difficulty of his tafk, “* guia optimum quodque verbum Virgilius ufurpavit,’ be- caufe Virgil had preoccupied the words betft fitted to exprefs his meaning, paid to the Latin poet a compliment which might with equal truth be paid to the Englifh moralift. It would be difficult to convey in fo many other wordsthe precife import of any fen- (I2) tence [Coa tence which he has written. There are few if any words fyno- nymous in any language: Johnfon, who could diftinguifh the moft minute fhades of difference in the meaning of terms, always chofe that which belonged exclufively to the idea he would exprefs; and where the language afforded no word that would exprefs his thought with precifion he reforted to a Latin word, and giving it an Englifh drefs and the f'amp of his own authority, adopted it into the language. For the frequency of thefe adoptions Johnfon has been blamed ; and when an Englifh word could be found commenfurate in its meaning to the idea he would convey, and not debafed by vulgar ufe, he was, no doubt, blameable in reforting to another lan- guage. That he has fometimes juftly incurred this cenfure it were vain to deny: but it will be found, perhaps, on examination, that he did not offen refort to exotic words, when he could have found Englifh words of equal force and equal dignity. He did not generally, with the jealous policy of a conqueror, raife foreigners to favour to the exclufion of native worth; but in the true fpirit of a patriot, fought abroad for a fupply of. thofe wants which he found to prevail at home. Tue Englifh is, perhaps, the only language fprung from the Gothic ftock into which Greek and Latin words can eafily be adopted, and it is to this facility of adoption that it owes its fuperior ftrength and ricbnefs. Johnfon, therefore, when he adopts from thofe languages words more appropriate to his mening than the Englith language could furnifh, does only that which 4 [Oa] which had been done by others before him, only carries farther an improvement which he did not begin, and adds to thofe ftores which the induftry of others had begun to accumulate. This con- fideration however will not always bear him out blamelefs; fome words he has adopted, for the adoption of which he cannot plead either neceffity or ufe, for he could have found at home words of precifely the fame import and of not lefs dignity. But it is contended that he has not offen thus erred; that on the whole he has enriched the Englifh language, and that, therefore, he deferves not merely impunity but praife. Bestpes thefe diftinguifhing features in the ftyle of Johnfon, by which he’has varied the ftyle of Englith profe, there is another equally ‘prominent which it fhall fuffice barely to mention—the frequent perfonification of virtues and vices, of habits and of actions *. SuBSEQUENT to Johnfon there does not feem to have occurred any variation in the flyle of Englith profe, notwithftanding the immenfe numbers of modern writers under whofe labours the prefs has groaned. Of thefe the greater number have no peculiar character in compofition ; others have imitated, fome with more and fome with lefs fuccefs, the ftyle of Johnfon; and fome, as a Burke and a + Reynolds, have rifen in fome inftances, perhaps, above him. Were * Thofe peculiarities of Johnfon’s ftyle are found to prevail moft in his Rambler. His Idler is lefs ftrongly marked by them, and they are {till lefs {trong in his Lives; a work by which, perhaps, his excellence as an Englifh profe writer is moft fully confirmed, i + Sir Jofhua Reynolds in his Difcourfes to the Royal Academy. it. et Were we now confidering the abftraG@t merits of the authors we mention, it would be unpardonable indeed not to beftow on the vivid energy of Burke, and the mild and chafte elegance of Sir Jofhua, a large fhare of attention and panegyric. But fuch is not the object of this effay: we muft therefore pafs over thefe, as we have paffed over Goldfmith and others, in filence, be- caufe though the excellence of thefe writings is fingularly great, that excellence does not confift in any variations which thofe have introduced into ftyle, but in the height to which they have carried thofe principles of compofition which had been cul- tivated, though lefs fuccefsfully, by others before them. In treating of the various ftyles which have fucceffively ap- peared from the revolution to the prefent time I have purpofely omitted fome which may be thought from their fingularity to have deferved notice. Such, for inftance, is that of Mr. Sterne. This I have paffed over without remark, becaufe, in the firft inftance, it was merely the ftyle of an individual, and has never been generally adopted by Englifh profe writers ; and, in the fecond place, becaufe it feems to have been the emanation of an eccentric mind,’ con- veying its thoughts in language as capricious, and, perhaps, affected, as the fentiments which fuggefted them, and as loofe as the moral principles by which they were regulated. On the POETICAL CHARACTER of DOCTOR GOLDSMITH. By the Rev. ARCHDEACON BURROWES, late Fellow of 7 rinity College, Dublin, and MLR. LA Docror Johnfon’s lives of the Englifh Poets, however his decifions may in fome inftances be controverted, contain a body of the moft found and valuable criticifm. Regular treatifes of elementary principles on the fubje@ at large are more difficult and lefs entertaining than a colleGion of judi- cious obfervations on particular works or particular authors. The latter lie within a narrower compafs, and require little antecedent preparation in the reader, while the former appear in an abftract form, and being ufually conclufions by induétion pre-fuppofe a knowledge of the particulars from which they are inferred, or being deductions from metaphyfical principles in human nature are abftrufe and technical. General truths are perhaps beft taught by their fpecific application, where grow- ing naturally from the inftance they partake of its familiarity and are developed by its explication. Vor. VI. €..K. ) Tur Read April 22d 1797, Le Tur plan laid down by the publifhers of the collection of Englifh Poetry to which Johnfon’s lives are prefixed has left fome authors of acknowledged merit unnoticed by the critic. But the life of Savage, which exhibits inceffant efforts in the biographer to palliate grofs violations of morals and decorum, and the remarks on Gray, in which their author feems to be wholly infenfible to poetical merit of the higheft clafs, leave us little reafon to regret that Johnfon was not employed to write the lives or criticife the works of all his poetical contemporaries. Among the authors thus left to the animadverfion of humbler critics our countryman GOLDSMITH ftands confpicuous. His poetical works altogether do not amount to eighteen hun- dred lines, and yet fuch is the tranfcendent merit of his two principal poems, that as a poet Goldfmith is more generally known and celebrated than many of thofe who have compofed whole volumes. Criticifm cannot be more agreeably or more ufefully employed than in tracing out the fources of his excel- lence and analyzing its modes, in exhibiting the negligences for which they often compenfate and the culpable excefs to which they fometimes run, and in contemplating by detail the literary character of an author of whom it is pronounced from high authority * that “ he poffifed the art of being minute “ qwithout tedioufnefs, and general without confufion, and that bis “ language * Johnfon in his Life of Parnell. E. gael “ language was copious without exuberance, exact without conftraint, “and cafy without weaknefs.” Goxpsmitu feems to have poflefled every quality which might. give popularity to a poet. His language is fimple, his verfifi- cation flowing and familiar, his fentiments natural and pathe- tic. His illuftrations are not pompous exhibitions of learning, allufions to arts which are little underftood, and _hiftories: which have been little read ; his pictures of nature are not ela- borate and minute delineations of individual fcenery ; his views of life are not metaphyfical inveftigations crippled into rhyme, not conjectural fancies of the manners of remote times or imaginary conditions, not difgufting expofures of human infir- mity orf outrageous caricatures of extravagant fingularities. Always eafy and unaffected, Goldfmith paints nature as it truck him and manners as he actually obferved them. His faults too (for fome faults his greateft admirers muft admit in him—faults allied to his excellencies) are certainly not of an unpopular clafs. If his language is frequently colloquial, and occafionally even ungrammatical, it is never obfcure: if he laments a depopulation in a country where it did not exift, he knew that a people who loved to hear of grievances were to be his readers. JouNson pronounced of the Traveller that it was a pro- duction to which fince the death of Pope it would not bé eafly ( K2) | to lL 7a to find any thing equal. The laft poetical work of Pope was publifhed in 1744, and the Traveller appeared in 1765. Within ‘that period Akenfide, Lyttleton, Dyer, Collins, Shenftone, Mafon and Churchill flourifhed, and within that period the Odes of Gray and the Seafons of Thomfon were publifhed. | Whether Johnfon’s encomium be not hyperbolical this catalogue may perhaps fhew, but certainly it fufficiently expofes the unreafon- able queruloufnefs which Goldfmith fhews when {peaking of the literature of his age, of the doubts which he expreffes in the preface to the Traveller as to the reception his poem might meet with, and of the picture which at the conclufion of the Deferted Village he has drawn of the neglect and con- fequent departure of poetry from his country. This is the tranfmitted peevifhnefs of poets; a conceited language which Goldfmith took up from Pope, and which found fupport in the frigid indifference with which his friend difmiffed his dic- tionary. Johnfon’s good fenfe faw the weaknefs in another, and in his life of Pope reprobates and expofes it, and Gold- fmith lived long enough probably to regret it. At leaft in his later editions of the Traveller he has expunged that paf- fage in the preface which affected to fay that “ the ftrongeft “ and happieft efforts of poetry could in his age expect to * pleafe but in a narrow circle.” Goldfmith’s might not have been the age of the higheft clafs of writers, but it certainly exceeded all which went before it in the number of judicious and well inftructed readers. Or CE ye Or the poets who were his contempories Goldfmith does not fpeak in favourable terms. The fhort and common place cri- ticifms which were purchafed from him at the extravagant price of two hundred pounds for two volumes of his Beauties of Englifh Poetry reprefent Thomfon as verbofe and affected, and Shenftone’s ballads as poffefling neither harmony nor fim- plicity. His Hermit is introduced in the Vicar of Wakefield as a contraft to the Englifh poetry of the prefent day, which, he fays, “ is nothing but a combination of luxuriant images “ without plot or connection—a ftring of epithets that im- “ prove the found without carrying on the fenfe:”’ and the preface to the Traveller complains of “ criticifms of late in “favour of blank verfe and Pindaric odes, chorufles, anapefts “ and iambics, alliterative care and happy negligence,” and talks of the poet of the day as “ a half-witted thing who wants “ to be thought a bold man having loft the character of a “ wife one—of his tawdry lampoons being called fatires, his “ turbulence faid to be force and his frenzy fire.” Thefe attacks on Shenftone, Mafon and Churchill were not all called for by the occafion: Goldfmith’s fubjeéts and his manner pre- cluded any comparifon with the two latter, and if any part of his writings might bear refemblance to any of thofe of Shenftone or Mafon he fhould have confidered that there was room on the higher grounds of Parnaffus for more than one poet of the fame clafs. But the man who could be difpleafed at hearing the praifes of his friend muft have deemed ee ee deemed all who poflefled excellence in whatever department as his rivals. -To the fchemes of his two moft diftinguifhed poems ob- jections have been often made. The fcheme of the Traveller was, as he tells us, an endeavour to fhew “ that there may be “ equal happinefs in ftates that are differently governed from “ our own; that every ftate has a particular principle of hap- “ pinefs, and that that this principle in each” (in his firft edi- tion he adds, and particularly in our own) “ may be carried to. “ a mifchievous excefs.” This pofition of a particular principle of happinefs to each ftate, which he affumes as a known truth, muft appear at leaft a difputable pofition: that all fpecies of — happinefs are equal cannot be granted, and it is certainly a grofs degradation of human nature to fay, that after nobler aims are reprefled Low delights fucceeding faft behind In Aappier meannefs occupy the mind. Tue conclufion which was written by Doctor Johnfon gives us all which Goldfmith’s poem rationally. eftablifhes, that human blifs centers only in the mind—that ftate offences and their punifhments To men remote from power but little known Leave reafon, faith and confcience all their own ; and [ ee] and that therefore under every government happinefs may be attained, inafmuch as Still to ourfelves in every place confign’d, Our own felicity we make or find. All this is truth and good fenfe from the author of the Rambler, but furely it is very different from Goldfmith’s original po- fition. Tue fcheme of the Deferted Village was “ to regret the de- “ population of England, and to inveigh againft the increafe of “ thofe luxuries by which it was occafioned.” Goldfmith had found the leading principles of his Traveller controverted, and in his dedication to the Deferted Village feems aware that the fcheme of this poem alfo was queftionable. He is aware that it will be objected that “ the depopulation it de- “* plores is no where to be feen, the diforders it laments only “ to be found in the poets own imagination.” To this he fays he can fcarce make any other anfwer than “ that he fin- * cerely believes what he had written, and had taken all pof- “ fible pains in his country excurfions for four or five years “© paft to be certain of what he alleged.” There is fome va- nity in fetting up the fupport collected in a few country: excurfions for a favourite theory publifhed by him fome years before, againft the authority of thofe whom he acknowledges to be the wifeft and beft of his friends. No doubt the luxury L 78 4 luxury muft be injurious by which a country is depopulated, but a foreigner who took his ideas of England in the year 1769 from Goldfmith’s Deferted Village would be ftrangely mifled. Yet on this imaginary and infecure foundation has been conftru@ted a poem which may be expected to laft as long as the Englifh language fhall endure, and nature and fim- plicity delight. Bur though Goldfmith’s Theories are not eftablifhed truths, the author certainly wrote himfelf into a full perfuafion of them, and it is our fatisfaction that they afford topics admi- rably adapted for difplaying his peculiar felicities and com- municating his feleCted information. About two hundred lines of the Traveller were fent by him from Switzerland to his brother. It is natural to fuppofe that thefe contained the author’s defcriptions of the countries through which he had travelled, and obfervations on the manners of their inhabi- tants. The fuperior excellency of the portrait of the Swifs feems to warrant this fuppofition. Pleafed with his own ram- bling life he faw the people apparently happy wherever he went. At his return he faw the happinefs of his own coun- try and compofed his poem on the theory of equal happinefs every where, and in the contrafted characters of the feveral ftates which he had vifited he thought he faw the particular principle on which it was founded. As a writer more than as a politician he perceived the powerful influence of party in - England, ee canal England, for party he tells us is there the moft dangerous enemy to poetry. He attempts to moderate the rage of all parties by an endeavour to fhew that patriotic boafting is the " fhame of reafon, fince nature and art afford equal happinefs every where. The poet, mifled by the different fenfes of the fame word, never confidered that poetical party might fubfift though national fhould be defiroyed, or that party might in any fingle country produce the worit effects though that coun- try and its neighbours were admitted to be equally happy. But the reader may be fully fatisfied with any means of in- troduction to thofe admirable national charaéters which actual infpection had made known to Goldfmith, and which his poetic fancy could fo beautifully delineate. In his review of the Englifh character, under the influence of vanity not yet fufficiently gratified with public notoriety, and of liberality not limited by prudential experience, he deems every man unhappy who is poor, and every man a flave who is not born a legiflator. What he had flated in his Traveller -in his next poem he would not contradict. He condemns the luxury which was beyond his reach, and with the eye of a poet he fees its effects in’ an imaginary depopulation. His enthufiafm became confirmed in its belief—he had talents to defcribe it pathetically, and by a procefs fimilar to thofe alge- braic calculations which from falfe fuppofitions elicit the truth, he has made it the occafion of introducing in his Deferted Vou. VI. Caron} Village [. Bor Village images which we feel to be impreffive, and fentiments which we acknowledge to be jutt. Tue condu& of thefe poems, if not ftrictly regular, is na- tural and unembarraffed: the digreflions are always feafonable, and the returns eafy. The Deferted Village begins with a general view of Auburn in its former ftate of happinefs and popula- tion, which is immediately contrafted with its prefent decay —then the author recurs to more diftin@ particulars of its recollected profperity—to the clergyman, the fchoolmafter and the village ale-houfe—he contemplates the decay—he invefti- gates its caufes—he contrafts the benefit with the evils of luxury —he paints the horrors and marks by a pathetic detail the progrefs of emigration. If any part appears not firmly rivetted to his fubjeét, it is the conclufion, that beautiful eulogium on poetry which no reader would fhew himfelf fo coldly attached to method as to give up. The Traveller feems to have no part fuperfluous and none ill- placed. To the concluding topic, of which Doctor Johnfon fays the Deferted Village is too much the echo, we are naturally led. The omiflion of the undiftinguifhed character of the Netherlands was peculiarly judicious. The only improvement -which might be fuggefted would be the inter- pofing a character of Spain between Holland and England. The connection between thefe as it ftands in the poem is faf- tened on a flimfy feeble minutenefs thrown unneceffarily and unreafonably [ s82;J] unreafonably into the character of the Dutch. As their difregard of freedom was certainly not greater than that of France or Italy England is not with better effect contrafted with Holland than it might have been with either of the others. From Holland hiftory might have led by a natural connection to Spain, and the Spanifh character would afford an admirable contraft to the Dutch and the Englifh, the two between which it would be placed. ’Tis true the poet looks from the Alps, and Spain might lie hid behind the Pyrenees—but I apprehend the mi- raculous improvement of vifion which from the Alpine heights could difcern objects fo minute as the temples of Italy ought mot to be reftrained within common limits, and the fame poetical perfpective which could have brought the moraffes of Holland into view could alfo have raifed the remote parts of Spain above the obftru@tion of mountains on its nearer con- fines. The conduct of Goldfmith’s Hermit * is exquifitely beau- (inde 2°.) tiful. * One paflage in his Hermit I cannot pafs over without a particular obfervation. _ Tt is where the Hermit enumerates the various poflible caufes of the ftranger’s apparent uneafinefs, and, among the reft, conjeCtures at friend/bip unreturned or love unregarded. And what is friendthip but a name, And love is ftill an emptier found, A charm that lulls to fleep ; The modern fair one’s jeft ; A fhade that follows wealth or.fame, On earth unfeen, or only found But leaves the wretch to weep * To warm the-turtle’s neft. The making the Hermit fuggeit that particular mode of treatment in love which’ he had himfelf experienced, and which the ftory immediately after recognizes, is peculiarly natural, judicious and affeéting, | 183: ai tiful. The interefting abruptnefs of its opening—the humane and delicate fentiments in the Hermit’s fpeech, giving fo af- feting and engaging impreflion of his charaéter—the fimplicity of the following narrative—his importunate folicitation forcing out at laft the ftory of the ftranger fo judicioufly delayed, and the furprize and pathos of the conclufion, make this little poem one of the moft finifhed pieces of affecting fimplicity in our language. Natura and affecting fimplicity forms indeed Gold{mith’s peculiar excellence. Yet where his fubject calls for it Gold- fmith- is not deficient in fublimity. His defcription of the rampires artificial pride may ferve to prove this, Onward methinks and diligently flow The firm connected bulwark feems to grow: Spreads its long arms amidft the wat’ry roar Scoops out an empire and ufurps the fhore. As may his defcription of the terrors of that horrid fhore to which his peafants emigrate : Thefe blazing funs that dart a downward ray And fiercely fhed intolerable day ; ‘Thofe matted woods where birds forget to fing, But filent bats in drowfy clufters cling ; Thofe eal Thofe pois’nous fields with rank luxuriance crown’d, Where the dark fcorpion gathers death around, Where at each flep the ftranger fears to wake The rattling terrors of the vengeful fnake ; Where crouching tygers wait their haplefs prey, And favage men more murd’rous ftill than they.; While oft in whirls the mad Tornado flies Mingling the rayag’d landfcape with the fkies. This pafflage is more peculiarly in Goldfmith’s manner, the fublimity here being only an accidental inftrument to heighten: the pathos. For denfe and folid fentiments— couplets pregnant with found reflection in forcible language, fitted to imprefs them- felves on the memory, and to incorporate in the mafs of po- pular morals, we in vain look in this author’s writings. His. moral paflages are too diffufe for quotation: they are long addrefles to luxury or to freedom, connected details of the evils of faction, whole fcenes defcriptive of city profufion and ‘rural devaftation, without any effort to concenter their force in one ftrong apothegm; or to fum up the particulars in more compact form, and without calling in the fupport of any ac- knowledged and inftructive truth, delivered in abftract preci- fion and cloathed in impreffive language. I know but one at- tempt of Goldfmith’s at condenfing the fubftance of an ante- cedent detail, and but one of his. couplets. containing a moral fentiment [| 5 fentiment of folid compactnefs. The firft is the conclufion of a paflage where the fplendors of luxury are contrafted with its evils: the peafant, he fays, is fcourged from the fmiling — land, : And while he finks, without an arm to fave, The country blooms—a garden and a grave. The fecond is not fo happy—it is a defcription of man in a ftate of early fimplicity and imagined equality, His beft companions, innocence and health, And his beft riches ignorance of wealth. It is however evident from the neceflity of antecedent expli- cation that thefe pafflages are not without fome violence de- tached from the context, and therefore even thefe are not well adapted for popular quotation. Bur Goldfmith is not a didactic—he is a defcriptive poet. And many of his defcriptions cannot be praifed too highly. The circumftances in his natural fcenes are felected with pe- culiar propriety, and painted in the moft glowing colours. His views of Italy and Switzerland in his Traveller cannot be excelled. His defcription of Auburn in its deferted flate would have redeemed an ordinary poem. No more thy glafly brook reflects the day, But choak’d with fedges works its weedy way : Along thy fhades, a folitary gueft, The hollow founding bittern guards its neft : Amidft fe Sage] Amidit thy defert walks the lapwing flies And tires their echo’s with unvaried cries : Sunk are thy bowr’s in fhapelefs ruin all And the long grafs oe’rtops the mould’ring wall. Here we have a highly poetical delineation of every adjunct of a defolated country, with appropriate epithets to add to the force of the effect, and the dowers and glafy brook from its former {tate remembered to heighten the defcription by their. contraft. Sucu is the general tenor of Goldfmith’s defcription of na- tural fcenes. His defcriptions are by continued enumeration of admirably felected circumftances—each in itfelf expreflive but the aggregate of infuperable force. Sometimes however, where he does not allow himfelf to dwell on particular circumftances,. or to embellifh them by any thing more than a fingle epithet, the enumeration is but a tame catalogue of beings or of pro- perties, and the defcription, accurate indeed, but flat and feeble. Take an example from his picture of Holland : While the pent ocean rifing o’er the pile Sees an amphibious world beneath him {mile ;- The flow canal, the yellow-bloffam’d vale, The willow-tufted bank, the gliding fail, The crouded mart, the cultivated plain, A new creation refcued from his reign.. Left ct See4 Left it might be thought the poet’s judicious art to give a ftudied tamenefs to the defcription of the country of Holland, I muft fubjoin another inftance where it certainly was not his object to deprefs his poetical merits to an humble level with his fubject : How often have I paus’d on ev’ry charm The fbelter'd cot, the cultivated farm, The neverfailing brook, the bu/y mill, The decent church that top’d the neighb’ring hill. Or this, Far different thefe from ev’ry former fcene, The cooling brook, the graffy veffed green, &c. In all thefe the author feems fenfible of the tamenefs of the defcription, and endeavours, with bad effect, to relieve it by the pompous folemnity of his compound adjectives. Bur the truth is what Goldfmith has himfelf told us in his dedication of the Deferted Village to Sir Jofhua Reynolds, “ that he was ignorant of that art in which his friend excelled.” He has therefore no idea of picturefque effect. He marks no diftances in his fcenes—he ftudies no arrangement of his ob- jects—he enumerates what a fertile fancy and an exact judg- ment would fuggeft, but the painter who fhould follow him would have their entire difpofition to make out. The writings of Mr. Mafon compared with Doétor Goldfmith’s fhew of what importance the knowledge of the fifter art is to a poet. THE eer THE defcriptions of life and manners, of national chara€ters in his Traveller, of profeffional in his Deferted Village, and of individual in his Retaliation, are drawn with mafterly fkill. Gold- fmith wrote from adtual obfervation with the moft judicious. feleGion. His accounts are faithful and charaéeriftic fketches of the hiftory of man. ‘The fports of Auburn are defcribed with: the accuracy of an actual fpe€tator and with the feelings of one who had partaken of fuch*. The character of the French pea- fantry is given con amore. Gold{mith in the moft endearing and affecting tafte of true paftoral poetry gives us fimple manners which yet agree with exifting nature and humble life remote from vulgarity. Whatever might degrade or difguft is carefully concealed, whatever could amplify is without apparent refearch produced. In the defcription of the village ale-houfe, the im- portance which it adds to the poor man’s heart is dwelt upon, and the oblivion of his care, but the idlenefs, the intoxication Vou. VI. COMES and * Mr. Anderfon in his criticifm on Goldfmith prefixed to his edition of his works among the Britifh poets, makes the following obfervation: «* The village ss diverfions are perhaps infifted on with too much prolixity and amplification. «« But we are recompenfed for this generality and redundance by the clailical and “¢ beautiful particularity and concifenefs of the context—the danci ig pair, the ‘© fwain miftruftlefs—the bafhful virgin,” &c. This obfervation is very nearly faying that we are recompenfed for Gold{mith’s generality by his particularity, and for his redundance by his concifene/s. L. #324 the quarrels are kept judicioufly from our view. His deferip- tion of the occupations of the Swifs peafant is a mafter-piece : Chearful at morn he wakes from fhort repofe, Breafts the keen air and carols as he goes ; With patient angle trolls the finny deep, Or drives the vent’rous ploughthare to the fteep ; Or feeks the den where fnow-tracks mark the way, And drags the ftruggling favage into day. No one fpecific circumftance of hardihood has efcaped him, and fcarcely a fingle word occurs in the paffage which does not add ‘appropriate energy. The founds in the village evening and the furniture of the ale-houfe deferve the fame praife. Wuen Goldfmith has not leifure to give a compleat defcrip- tion, where by-.a few particulars a general propofition is to be impreffed, thofe which he felecs are always the beft fitted for their purpofe. Thus where the vanity of the French is to be exhibited Goldfmith fays, : Here vanity aflumes its pert grimace And trims her robes of frize with copper lace, Here beggar pride defrauds her daily cheer To boaft one fplendid banquet once a year. Where the pleafures of the luxurious are to be defcribed as fickening into pain the particulars which our author’s admirable feleGiion fpecifies are the Jong pomp and the midnight ma/querade.. But ee: But one of the greateft beauties of Goldfmith’s defcriptions is the embellifhment of his landf{capes by his figures. Every fcene with him is alive, and even defolation is made more affec- ing by the fad hiforian of the penfive plain whom he intro- duces. This is the great art of interefting the reader: we may contemplate with pleafure or with furprize inanimate nature, but our feelings are for man. The landfcape in return may by its affociations refle&t congenial impreffions, and of fuch Gold- fmith takes advantage in the beginning of his Deferted Village, where the enumeration of affeGting objets of ruin and decay naturally gives a melancholy caft to the mind. It is idle then to complain, as has been done, that our pity is there excited for what cannot fuffer—for a brook—or a glade—or a walk— or a wall. We do not feel for the inanimate obje@: our minds are only pre-difpofed by the review of thefe melancholy fcenes to feel pity for the perfons who are afterwards defcribed, and our feelings are for the peafants who have been compelled to emigrate from Auburn. The folemn darknefs of a Gothic cathedral is not religion, but its efficacy to produce an awe on the mind which fits it for the reception of religious im- preflions is indifputable—and he muft have none of the verfa- tility of human fancy or the fympathies of the human heart who could fo rivet his attention to the externals of the {cene of defolation as not to recur to the condition of thofe who had formerly been its inhabitants. ( M2 ) Tue ies 5 THE variety of Gold{mith’s powers in defcription of character is perhaps fhewn moft ftrongly in thofe two which immediately follow: each other in his Deferted Village—-the clergyman and the fchool-mafter. The paflage in his epitaph “ Sive rifus effent movendi five lachryme, affeCiuum potens at lenis dominator,” here comes out an eftablifhed truth. If the line 7 Carelefs their merits or their faults to fean, does not add much praife to the clergyman’s character; it was however the undiftinguifhing liberality for which Goldfmith was himfelf remarkable, and on which he prided himfelf in fpite of prudence and of propriety. The profefiional exertions of the clergyman in the difcharge of his duty, and particularly at the bed of ficknefs, are recorded in a ftile of pathetic folemnity not to be exceeded. The fchool-mafter is a contraft of fuch oppo- fite merit that we might almoft wonder at its being produced by the fame hand. Humour cannot produce a picture more rich in the writings of thofe who could never be ferious. The affetted gravity with which his multifarious learning is pro- duced, the legendary ftile in which the whole is judicioufly de- livered, and above all the ludicrous circumftance of ruftic wonder at the conclufion, That one fmall head could carry all he knew thew Goldfmith’s powers in this ftile of poetical compofition not SP EE ES PS Legume | not inferior to thofe which he exhibits in the more ferious and pathetic. The character of the fchool-mafter, and defcription of the village ale-houfe to which he condudts the poet, are genuine productions of that pen which had given to the public the Citizen of the World and the Vicar of Wakefield. In pathetic images and defcriptions his Deferted Village abounds, and it is peculiarly the merit of Goldfmith that he affeGts us only where we ought to be affected. He does not by any overfwoln amplification of minuteneffes, by any trick of inftant vehemence, or by any delineation of the grievances of hypochondriac fenfibility fuddenly excite an emotion, of which when we come to confider its caufe we are afhamed. He improves our morals by making us fympathize with genuine unequivocal afflition: he fettles habits of ufeful and permanent impreffion, for he makes us feel for domeftic diftrefs—for the fair who is forfaken, and the family which is forced to brave the horrors of emigration. When the poor exiles every pleafure paft . Hung round the bow’rs and fondly looked their laft, And took a long farewell and withed in vain For feats like thefe beyond the weftern main, And fhudd’ring ftill to face the diftant deep Return’d, and wept, and ftill return’d to weep. The fubfequent defcription of the individuals abounds with the higheft ftrokes of Goldfmith’s powers in the pathetic. THe ti [ 92 | Tue great praife of all our author’s compofitions ferious or comic, in profe or verfe, is that every thing appears eafy, fimple and natural—without any affeGation, and with little appearance of effort or labour. This feems extraordinary as to his poems, when we are told his particular mode of compofition. “ He ufed,” {ays one of his biographers, “ firft to fketch out a part of his “ defign in profe, after which he fat down carefully to verfify “ what he had written, to correct it and to add ideas better fuited “ perhaps to the fubje@.” From his view of his materials ante- cedent to their final and eftablifhed arrangement we might ex- ‘pe@ a judicious general method, and fuch we actually find; but we might alfo expect that his mode fhould leave behind it traces of labour and artifice—the advantages of accuracy and the ftiffnefs of ftudy. His works on the contrary exhibit no marks of art—his verfe feems to contain his firft thoughts im his firft expreffions. The reafon of this we may perhaps find in the author’s character. His vanity had fo ftrong an attach- ment to that he had once written that his poems in all pro- bability differ but little either in fubftance or in order from their profaic elements. It is true Gold{mith’s later editions alter many paflages in his earlier ones, but the relu€tance with which he had parted with his former has ufually made his corrections in the latter incomplete, and has left the correfted paffages at laft but a fort of tiffue between what they were and what they ought to be. Or Peaae. > | Or his fondnefs for his own writings we have an unequivocal proof in the frequency with which he borrows from himéfelf. Sentiments occur in his plays exprefled in the very fame words as in his Vicar of Wakefield. The lengthening chain which he drags in his Traveller, as he removes from his brother, conneéted the Chinefe philofopher with his friend in the Citizen of the world. The excellent furniture with which he has decorated his village ale-honfe belonged formerly to Scroggen the hackney au- thor whom Goldfmith had before defcribed. The couplet in his Deferted Village Along the lawn where {cattered hamlets rofe Unwieldy wealth and cumbrous pomp repofe, is almoft a tranfcript of the following in his Traveller And over fields where featter’d hamlets rofe In barren folitary pomp repofe. And of that fublime paffage already quoted which defcribes the horrors of the weftern clime we have the original in the Tra- veller, where the pilgrim ftrays Through tangled forefts and through devious ways, Where beafts with man divided empire claim, And the brown Indian marks with murd’rous aim. There while above the giddy tempeft flies And all around diftrefsful yells arife, &c. Passaces eae Se Passaces of fuch fimilarity in fentiment and expreffion cer- tainly fhew the peculiar fondnefs with which Goldfmith looked on any work which he had once given from his hands, and which fo chained’ down his imagination to one mode of confi- dering a fubje@t that whenever that fubje@ recurred the author could not view it but in the very fame light. Goldfmith how- ever appears fometimes to have caught the fame fondnefs for fentiments which had been expreffed by other authors, and, as if unconfcious of their original, delivers them in their identical words and forms of fpeech. Pope has the following couplet : To favage beafts and favage laws a prey, And kings more furious and fevere than they, the laft line of which is of the very fame ftru@ture with one of our author's quoted in page 83. And no perfon can be prevailed on for a moment to imagine that there is not fome- thing more than a cafual coincidence between Goldfmith’s Man wants but little here below Nor wants that little long, And Young’s, Man wants but little, nor that little long.. Surely the author who could borrow with fo flender artifice could not fufpe@t himfelf of plagiarifm and muft have miftaken the treafures of his reading for the conceptions of his fancy. Tuis f i el Tuts identity of phrafe on the recurrence of the fame fub- je@ts certainly indicates a fcantinefs in Goldfmith’s vocabulary. He has alfo favourite words and forms which thew themf{elves in every page. We have the unfeeling train, and the lowly ¢rain, and the vagrant ¢rain, and the harmlefs ¢raim, and the bufy train, and the lovelieft tram, and the gorgeous tram, all in the Deferted Village—We have within its firft feventeen lines the author ' loitering over the grecn of Auburn—and defolation faddening all its green, and the healthful {ports which formerly brightened all its green. We have the friend crowned, and the glafs crowned, and the board crowned—all very loofe and indefinite fignifica- tions of the word. We have colloquial phrafes, fit me down, —once a year—many a time—times are altered. We have weak words, adverbs and prepofitions often filling up his verfes.— All thefe are carelefs faults which a little attention might have rectified, and founded perhaps in too great a love of fimplicity and defire to be familiar. - Goxpsmitn’s diction both in verfe and profe is extremely eafy—in fome places perhaps to negligence. His Traveller begins with feveral adje@ives ftrung together, Remote, unfriended, melancholy, flow, while the fubftantive to which they belong does not appear until the feventh line. He is not ftudious of writing with the exa€tnefs of a grammarian, and therefore fometimes ufes Vou. VI. ( (NOD prefent L.90 a prefent for paft times, fometimes pailive for active participles ; fometimes he even gives us paflages wholly independent of re- eular connection in the conftruction of the fentence, as in his defcription of the Dutch in his Traveller, At gold’s fuperior charms all freedom lies, The needy fell it and the rich man buys; A land of tyrants and a den of flaves, Here wretches feek difhonourable graves. In this paffage however, and in all of this fort, it is but fair with refpe€t to our author to ftate that his meaning is not at all obfcure. Goldfmith’s conftructions rarely lead to obfcurity or ambiguity *. Like Addifon he is fimple and familiar, and like Addifon he is elegant and intelligible. As the epithets of other poets have met his cenfure his own are fairly fubje@t to animadverfion. His penfive plain has been condemned as too bold—I think with little reafon—with lefs certainly than his d/eak Swifs which feems more extravagant, his * There is one form of phrafe ufed frequently by Goldfmith, which, if followed, might in other authors lead to ambiguity—it is the deferring of circumftances which limit a particular fubftantive until other fubftantives hall have been interpofed. In the couplet, Whatever blooms in torrid traéts appear Whofe bright fucceffion decks the varied year, The bright fucceffion feems rather to belong, by the conftruCtion, to ¢raés than to blooms. bo anal his /enfual blifs which may be miftaken, or his d/ethoric ill which is technical. He is too fond of compounding new words by the mere inartificial addition of two known ones, as qwave-/ub- jetted, fhelter-feeking, rocky-crefed, and crouding them together until the reader is difgufted with their monotony. But many of his fimple epithets have a force of argumentative fignifica- tion and beauty of delicate expreflion which the pomp of learned. founds cannot often reach—as in the following lines: «¢ The toiling pleafure fickens into pain.” ‘¢ No bufy fteps the grafs grown footway tread.” ‘¢ Here the pale artift plies the fickly trade.” - “¢ The robe that wraps his limbs in filken floth.” You have in a fingle epithet the ftate of Swifs morals fully accounted for, And love’s and friendfhip’s finely-pointed dart Fall blunted from each indurated heart. And in another epithet you have a complete picture of the Italian fcenery, Its uplands floping deck the mountains fide, Woods over woods in gay zheatric pride, Tuus. we fee that though cafe and fimpliciy are the cha- racteriftics of our author's writings, yet there is no want of ornament 1n his imagery or of metaphorical graces in his dic- C Noe) tion. [| 98° 4 tion. His fimiles therefore might be expected to be, as indeed they are, beautiful piGtures and well-adapted illuftrations. With their acknowledged merits of this fort they certainly unite one of fingular fubtilty. Many of them are local images, the ap- propriate growth of the fcene or country which he defcribes. The mean delights of the modern Italians fucceeding the no- bler aims of their progenitors are illuftrated by the fimile of the peafant feeking fhelter in thofe domes where Czfars once bore fway*. The virtues of the Swifs are like falcons cowring on the neft: the Dutch, conformed to fervitude, are Dull as their lakes which fleep beneath the ftorm. Such a felicity in his fimiles embodies them into the main fubje&, and even gives an apparent ftrength to the theory in his Traveller, by an indireét intimation that the national cha- racter is founded in fome affociate circumftance of the natural hiftory of each country. Tue fimile in which our author compares the, mifer’s rap- ture at the view of his hoards and his fighs for thofe which are wanting with the alternate paffions in his own breaft, of pleafure * The fame effect is produced by an artifice of Goldfmith’s diétion. The pecu- liarity of the word /ong-fall’n as applied to the mind in Italy naturally recals to our view the J/ong-fall’n columns in the fame country which had been mentioned but eleven lines before, and thus induces a mental comparifon between the ftate of their arts and their minds. Be cen pleafure at the goods. which Heaven has given to man, and forrow to fee the board of human blifs fo fmall, pleafes me more than the more celebrated ones of the child clinging Clofe and clofer to the mother’s breaft, and the circle bounding earth and fkies which Allures from far and as he follows flies *. The caufe of the child’s clinging has no connection with the mother to whofe breaft fhe clings, whereas the loud torrent and the mountains roar is a natural adjunct to thofe moun- tains to which the Swifs peafant is more firmly bound: and how the horizon allures from far by no means appears. But the two fimiles which decorate the village clergyman, of the bird tempting its new-fledged offspring to the fkies, and the tall cliff around whofe head fettles eternal funfhine, are for endearing intereft and appofite beauty unequalled by any of our author, and excelled by very few in the language. Go.psmitn’s verfification has been formed with great exact- nefs on the model of Mr. Pope. Whoever reads Wind{for Foreft with attention will find the elements of many paffages in Gold- {mith’s writings, will difcover the original in which he ftudied poetry * Strange that one of Goldfmith’s commentators fhould fpeak of this as a fimile of the rainbow ! if 169.-4 poetry and from. which he caught by congenial feeling the graces of elegant expreflion and harmonious verfification. Every poem of Pope's contains fomething, which to a reader who knows our author will recall fome paflage in his works by a word or by a conftruction, by fome turn of the verfe or of the fentiment. Goldfmith’s verfification is more feeble and more carelefs than Mr. Pope’s, but perhaps it is more varied and more fimple. I cannot avoid quoting one of the fhorteft of Goldfmith’s poems as a {pecimen, among many other beau- ties, of the eafe of his conftru@ions and the harmony of his numbers. ON MEMORY. Oh! memory, thou fond deceiver Still importunate and vain, To former joys recurring ever, And turning all the paft to pain. Thou, like the world, th’ oppreft opprefling, Thy fmiles encreafe the wretch’s woe ; And he who wants each other blefling In thee is fure to find a foe. : In the lines of Goldfmith we have no elaborate equipoife. between the parts where the latter half is made an epigram upon the former. His only artificial ornament is alliteration which occurs too frequently for us to fufpect its being cafual. He “~ geome | He continues the fame thought often beyond the line, and fometimes beyond the couplet *. Hence it happens that his verfes are natural and their harmony varied, though it mutt be obferved alfo, that the paufes in found do not always co- incide with thofe:in fenfe. His lines are often eked out by feeble and expletive parts adjoined, fuch as more, between, here, fo, and feveral weak terminations and profaic verfes might be pointed out in his writings, as where he tells us that the morals of the Swifs are dui Jow—that the train of Auburn at proud men’s doors leg a little bread—or that nations though wery poor may fill be very blef. Wis rhyming words are gene- rally monofyllables of the moft familiar clafs. The word jire rhymes in two couplets out of three in his Traveller—the word round rhymes three times in eleven couplets in his Deferted Village. Goldfmith in this refpe& did not fufficiently confult variety, but he polfeffes thofe happy arts of engaging the reader’s attention to fome beauty, or interefting his _affec- tions by fome pathetic image, and the fault which is not per- ceived is as if it did not exitt. Gotnsmitn’s faults are all faults of apparent inadvertence ; but would his poems be more excellent had he ftudied to correct * This is fometimes attended with a powerful and fublime effec. Befide the bed where parting life was laid, And forrow, grief and guilt by turns difmay’d, The veverend champion flood. At his controul, &c, [+ Foo =a correct them to greater minutenefs? He might have arranged his thoughts in regular climax—he might have given us con- trafted fentiments and parallel phrafes—he might have def- tined forcible words to important places —he might have condenfed matter for concluding couplets. But his works would have been elaborate—his diction pompous—his verfifica- tion meafured. He would have forfeited his eafy fimplicity. Some readers would not fo well underftand him and perhaps none fo much delight in him. At prefent he is a general favourite, and thofe who think his excellence is of that com- mon nature which any perfon might reach have only to make © the attempt and thus convince themfelves of his merit. Pa- radoxical as it may feem, there is no ftile of writing more difficult of attainment than that which is natural. An T 1 Of ff. Bs on meter neen ao - eee arth ey «ite "tones seas) % 4 Ss fF t a - ays ihe Date» . af i. 8 4 A LETTER jrom WILLIAM CAULFIELD LENNON, Efg; to the Right Honourable the EARL of CHARLEMONT, Prefident of the Royal Trifh Academy, Fc. Fe. Se. My Lorp, Permit me to have the honour of prefenting you Read Nov. an image taken from a Pagoda in Bangalore, at the ftorming of *” '7°* that fort in 1791, which, if it proves worthy of a place in the Cabinet of your Academy, I fhall confider myfelf amply recom- penfed for the trouble of bringing from thence. ‘ Tus image reprefents Letchemyf, the goddefs of riches, fertility, beauty, mirth, courage, joy, eloquence and matrimony, Vou. VI. [A] who + (Lechemy)-The name of this goddefs is thus written by Craufurd, in his Sketches of the Hindoos, and by moft of the earlier writers: « Lechemy,” fays Craufurd, «is the «« confort of Vifhnou, and is the goddefs of abundance and profperity.” By Sir William? Jones (Afiatick Refearches, Vol. I. on the Gods of Greece, Italy and India) fhe [ie who from the variety of her power and patronage is ftyled Mahay Letchemy, or the Great Letchemy. She is the firft wife of Veefhnoo, one of the Treemoortee or Hindoo Trinity, to whom fhe was married under the name of Seddee, when that god manifefted himfelf to the world under that of Rama, at the court of her terreftrial father Tifferadah Rajah. She is equally worfhipped in all the pagodas or temples both of Shiv- ven and Veefhnoo, the former of whom is the chief and moft powerful of the Treemoortee. Bruma, the third in confequence and power, has no temples of worfhip erected to him. She is reprefented in the habit of a Cunfhinnee or dancing girl, as the goddefs of mirth and beauty: the flower fhe holds in her right hand is the Taumaray or Indian Lotus, which grows in all the tanks or refervoirs of water, and is the emblem of fer- tility, as it only grows in water, on which all fertility in that country depends. Tue the is called Lac/bmi, and is by him fuppofed to be the Ceres of Hinduftan, her moft remarkable name being Sv7, or in the firft cafe Sris.—“Tt may be contended,” con- tinues he, ‘ that although Lacfhmi may figuratively be called the Ceres of Hinduf- tan, yet any two or more idolatrous nations, who fubfifted by agriculture, might «« naturally conceive a deity to prefide over their labours, without having the leaft in- tercourfe with each other; but no reafon appears why two nations fhould concur «in fuppofing that deity to be a female: One at leaft of them would be more « likely to imagine that the earth was a goddefs, and that the god of abundance « rendered her fertile. Befides, in very ancient temples near Gaya, we fee images « of Lacthmi with full breafts, and a cord twifted under her arm like a horn of «« plenty, which look very much like the old Grecian and Roman figures of Ceres.” This goddefs is alfo named Vedma and Camala. © 23, Anta. Li iS 8 : SS o CAYO as 7] sarod a FI + i ‘% = an 7 = A > “ = is » had [sg Tue metal of which this and the generality of images in India are formed is compofed of the free offerings of the vota- ries who attend the pagodas at certain times, Of the dif- ferent coins, pagodas which are gold, rupees filver, and dubs or doodies copper, when the bramins of the pagoda have got the quantity neceflary, the whole is melted together and caft into the defired form; the natives of India being par- ticularly ingenious in compounding metals of different qua» lities. Tue leaf which accompanies the image is the Cadjan or Pal- myra* leaf, on which the Hindoos write with an iron ftyle. The writing on it is a fable in the Tamoul or Malabar language, a tranflation of which I obtained from my friend Mr. Kinderfley, author of Specimens of Hindoo Literature, which I alfo take the liberty to fend, and hope it may prove acceptable. I have the honour to be, My Lord, Your Lordfhip’s moft obedient, And very humble fervant, | W. CAULFIELD LENNON. Dublin, Auguft 1, 1794. * (Palmyra) A fpecies of the palm tree, of which there are three kinds in India; ef thefe the moft efteemed is the Cocoa, the next in eftimation is the Palmyra, and the leaft valuable is the Date Tree. A 2 [etd Fable of the Fackall and Drum. IF the waters of your fears {well immoderately the banks of your fortune will be broken. When fortitude fails no fuccefs is to be expected. What appears moft terrible may prove an empty found. Two hoftile Rajahs having engaged in battle one of them was routed, and among other articles his troops left on the field of battle a drum. A neighbouring jackall, attracted by the {cent of the blood, came to the fpot, and had already, in ima- gination, devoured the flaughtered elephants and horfes around him, when his attention was arrefted and his alarms excited by the found of a drum. At firft fancying the Rajahs were return- ing to battle, he prepared, however reluctantly, to decamp, but the noife ceafing he ventured to approach the fpot whence it proceeded ; when difcovering that it arofe from the wind occa- fionally ftriking a branch, which hung loofe from a tree, againft the drum, he paffionately tore the caufe of his terrors, and turning to the banquet before him quietly enjoyed his good fortune. + hal LIE EGA: ¢ LJ OVE EL tds Cals aki Onglss J PY. WwW 7 ITF IY PFT 1 Oh GE) © F 5B: BOS LTO RY AE BS GTP» £6 EGSIPOB 75 ® Doo Pow 1. OL. GLOLe7 DGD bay -Y aay DL) Cow Ly LIT OW) (5) 9 FO) K /— ) 2 ie L1G D 9. aw fo Py fy 422Ls De 3 ISDA, NOM OF 5 5165 LBB} Lwin hhqoug¢ h te £3 427 DIF L05 wT OP § AEP BLT DMuPDH te D LB fy GQ te Bh DOT CH 70356 cB orovglo) LY YOO 207 Y OG Lots YY JIISOT Jo 7 7G 7 Y He €1J PVR wT IFI YL ZR TITTPLE GOL 2OL (IIPIOL TOBY IB Fr99t- Gt OLF QI 5°, 5p PGE) O FSB BR sew OL. 7Lg 65127 F DIGIBHGI BPSD Bs 207 Ds 4,207 ang DT (Ly Fe ar de \, 2yL0 7 Fs YEG OF GOT PT Torpa7T IG TW O35 BD? OU TL GI OX TDG 7 Bt GD OF LBB TY 217 PPT A 227 114156 FOBT 2) 20 STF LPLALHHY IFT Ou 7? D FP 7Ote ov La 75H DT DOT Ls OG 7 Of) bbs L CPO re 7D} © EGS p AD) GATZIZTPCE-OC7 FI F Oy DAG RX BRIT ROOT 7 C2127 21 AG Pes w 1. OG LALO7 GODS) Te DYNO DS EGON 0 7 GI-L2- uD DOuPTLIS Hu OL7 WL 77 Ou7LpCrp XY -F 7 DLW ov Ly ) 117 wt 7269 O) 427 (a 5) S25 Ou PD Be 7 GF G7 G2 NG sw B7IWLFDF OD PVEDOH ee) / oF L0 7B P29. OF 6 CHILD 14 (PL7OLwATDYF GF CL pilgouhiy eee LP WOT § 11 9. ID Pos 2921 FF DOME DGOS7 Ove BDI ir, Gp val Os Oe eae HoT Os Lely WIG GOL PD HE, © 5EIIAPOVG Dy BBD G FD 7407 Bs P23 D HFI GY AT YB 72.014 On7E Ff Fy Os bn Pl An ACCOUNT of fme MANUSCRIPT PAPERS which belonged fo Str PHILIP HOBY, Kwicur, who filled feveral important Offices in the REIGN of KING EDWARD ‘fhe SIXTH, and which are at prefent the Property of WILLIAM HARE, Esa, one of the Reprelentatives in Parliament for the City of Cork; by the Reverend Mr. HINCKES of Cork, com=- municated by the PRESIDENT. "Tue defire which. mankind have ever felt to be acquainted aa with the proceedings of their anceftors, and the important ad- 1796 -vantages which may be derived from _hiftorical knowledge, have caufed great attention to be paid to all the various fources of hif- torical. information. Amongft thefe fources, public a&s of the government, and the private as well as public correfpondence of individuals, whofe great knowledge or peculiar fituation gave them an opportunity of being acquainted not only with events, but alfo with the caufes of them, have ever held a principal place ; _and all. good compilers of hiftory have carefully confulted. fuch as could be found in public libraries, or in thofe offices of ftate “ g-s-ewe © -appointed.. * b #4 appointed for their reception. The correfpondence of an ambaf- fadour refiding at a foreign court with the government at home muft be particularly ufeful in this view, becaufe the letters ad- dreffed to the ambaffadour would contain an account of important tranfaCtions at home with the caufes of them, to enable him to fet them in a favourable light abroad; and the letters of the am- baffadour would contain not only an account of all his tranfac- tions with the prince at whofe court he wasa refident, but alfo all the intelligence he could procure relating either to that court cr others, his ewn opinion concerning them, and what he under- ftood to be the general opinion. This was more neceflary, and therefore was probably more common, in times when there were no newfpapers, or frequent communication by letters, than at prefent, when means of information lie open to every individual. In the correfpondence of an ambaffadour from England to a mari- time power, fome information refpeting the ftate of commerce may alfo be expected, becaufe complaints would frequently be made which would demand his attention. Even letters from private perfons, whether of eminence or not, are interefting, when written long before our own time, becaufe, though only compli- mentary or fupplicatory they muft throw fome light on the manners and cuftoms of the period in which they were written. ‘Tue ftate of the language and the autographs of eminent perfons are alfo ufeful, not merely to gratify the curiofity of the antiqua- rian, but alfo to prevent the forgery of writings in the name of ancient authors by rendering the detection of it more eafy. It [oo] It was by an accurate knowledge of the mode of writing and: fpelling when Shakefpear lived, by comparing the pretended hand-writing of Queen Elizabeth and others with their real auto- ~ graphs, and by pointing out feveral variations from the manners and cuftoms of that period, that an eminent critic was able com- pletely to deteé& the late forgery of manufcripts in the name of Shakefpear, which at firft impofed upon many literary men. Thus did his refearches into the manufcripts and publications of the Shakefpearian age enable this gentleman to preferve uncon- taminated the produétions of a poet who is his country’s pride, as they had before enabled him to illuftrate them in a more fatis-- fatory manner than any of his predeceffors. Since fuch adyantages may be derived from an acquaintance with manufcript papers of paft ages, it becomes a duty incumbent upon thofe who meet with fuch remains of antiquities as have continued in private families, either to publifh copies of them if they prove fufficiently interefting, or at leaft to fignify the con-- tents of them, and where they may be confulted for the infor- mation of thofe whofe purfuits. may be affifted by a perufal of, them. With this view it is intended in: the prefent Effay to give an account of fome papers which belonged to Sir Philip Hoby, am- baffladour from King Edward the fixth to the Emperor Charles the fifth, which are contained in two volumes folio, at prefent the property of William Hare, Efq, M. P. for Cork, by whom they [t 16 J they have been obligingly lent to the writer with full permiffion to communicate the contents of them in whatever manner he pleafes. Sir Philip Hoby feems to have been firft introduced to the public by Bifhop Burnet in his hiftory of the reformation, a work founded upon a very laborious inveftigation of all the papers he could find in the public libraries or offices to which he had accefs relating to the period concerning which he wrote.) It is now well known that Sir Philip filled the poft: above-mentioned during part of the reign of Edward the fixth, and alfo that he was employed in other commiffions of importance. One of the volumes of manufcript papers which are the fubject of this effay confifts principally of letters to Hoby’ from the Proteétor and council and from eminent private charaters, all of which are original; it alfo contains’ ‘fome original ftate papers with copies of others, and alfo copies of feveral foreign papers, “as will appear from the lift of the ‘contents which is annexed. The other volume confifts entirely of copies of letters written by Sir Philip Hoby to the Prote@or and council whilft a refident at the imperial court. Thefe letters are not confined to the reign of Edward the fixth, the earlieft date being in 1539 and the lateft in 1556; the greateft part were however written in 1548, 1549 and 1550. By what means thefe volumes firft came into Mr. Hare’s fa- mily cannot now be exa@lly afcertained, nor can it be of any importance [mm ] importance: as the: proofs of their authenticity are fufficiently ftrong: It may however deferve notice that the reverend Sir Philip Hoby, Baronet, who died in the year 1766 Dean. of Ard- fert, was a lineal defcendant of Sir Edward Hoby, Knight, the nephew and heir of! the ambaffadour. By his death the title of Baronet conferred‘ in! 1666. became extinét; but: there is an ac- count of the family in the firft edition of Collins’s baronetage. That the’ papers were firft-colle@ed and bound together by Sir Ed- ward Hoby is probable from the initials E. Hi which are marked on one fide of: each volume. In proof of the authenticity of thefe papers it may be obferved that Bifhop Burnet (a) mentions fuch. a colle@ion which. he had feen from which he took. extraéts, and the whole of which he would have publifhed if it had been in his power. Some of the letters mentioned by Burnet have been found in the manu- {cript. colleGion, but refpeGting one he feems-to have fallen into an error, a circumftance very excufeable when it is confidered - how he was circumftanced. From. thofe which have been found,. it is however. very probable, if not. certain, that the manufcripts belonging to Mr. Hare are the very fame which the Bifhop met with. There are alfo. two letters written by Hoby and Sir William Paget jointly, found by Burnet in the Cotton library, copies of which and of fome others on the fame fubje@ are in: Vou. VI. | B.] thefe (a) Hitt, of Reform, Vol. iii. p. 1335: 134 [ m ] thefe volumes, and differ very little (except in the fpelling, which the Bifhop muft have modernifed) from thofe found in the appendix to Hift. of Reform. Vol. II. p..135- Ir may be further remarked that the manner of forming the letters, the fpelling, and the ftile are fimilar to thofe of authen- tic remains, of that age; which may alfo be obferved of the mode of directing and folding the letters, the fize of the feal, and the water-marks of the paper, which latter vary according to the country from which the letters were written. The fig- natures of Archbifhop Cranmer, Bifhop Gardiner, Martin Bucer, John A Lafco and others agree with facfimiles of their hand- writing which have been already publifhed (). The titles ufed by the King in feveral of the ftate papers are alfo agreeable to the ufage of that period, as ftated by Bithop Nicholfon (c). To eftablith however the authenticity of thefe papers as much as poffible, they were fubmitted to the infpection of feveral literary gentlemen in this kingdom, and amongft others to that of the prefident and members of the Royal Irifh Academy; and alfo to that of Thomas Aftle, Efq; of the paper-oftice, Whitehall, a gentleman well known in the literary world as the author of a curious (2) In the appendix to Dr. Jortin’s life of Eyafmus. (c) Eng. Hitt. Library, Part iii. ch. i. ps 145+ quarto edition. ae] a curious and valuable work on the origin and progre/s of writing, and of Edmond Malone, Efq; the former of whom from his general knowledge of antiquities and his peculiar means of in- formation, and the latter from his having paid fuch particular at- tention to all writings and manufcripts near that period with a view to elucidate his favourite author, feemed evidently qualified to give a decifive opinion (¢@). Both thefe gentlemen were fo oblig- ing as to take the trouble of infpefting them, and declared that no doubt could be entertained of their being genuine and authen- tic papers. Mr. Aftle, alfo very politely caufed a fearch to: be made in the paper-office, which enabled him to inform the writer that none. of Sir P. Hoby’s letters to the council nor more than one copy of a letter to him are to be found there, a circumftance which muft render thefe volumes of more impor~ tance than they would otherwife be. Havine thus ftated the reafons for believing the authenticity of thefe papers, a concife account of the contents will be added: as the beft means of enabling the reader to judge of their im- portance. [Ba] Folume (4d) The writer was indebted to the Right Honourable the Earl of Charlemont, Prefident of the Royal Irifh Academy, for an introdu€tion to Mr. Malone, and to the Right Reverend the Bifhop of Limerick for one to Mr. Aftle; favours much enhanced by the very obliging manner in which they were conferred. To fome other members of the Academy as well as to other gentlemen he owes fimilar obligations. [ a4 jj Volume containing original letters, frate papers, ®&c. 1539- Instructions from King Henry eighth to Sir T. Wyat and Mr. Hoby, ordering them to repair to the Emperour Charles the fifth at that time in Spain, and advife him on the ftate of his affairs ; of which a view is taken, and a clofe alliance with England recommended. The principal obje@ of this embaffy was to fettle the terms of a marriage between Henry and the Duchefs Dowager of Milan, Charles’s niece; and between the Princefs Mary and a Prince of Portugal, to whom the Emperour was urged to give the Milanefe. A LeTTerR from Wyat to King Henry ~Memoranpvm from Wyat to Hoby on his return. Born thefe relate‘to the fame bufinefs and contain the Emperour’s anfwer, -&c. MemoranDvum of remarkable events.—written at Toledo. Letter from Lord Crumwell to Hoby, ordering him. to go to France and vifit the daughters of the Dukes of Guife and Lorrain, take their likenefs, &c. A FRAGMENT of a letter on the fame fubje&. 1546. Aw order of council to Hoby to appear and anfwer fome charges againft him figned by: Wriothefly, -and Gardiner, ‘Bifhop of Winchefter. 1548 bemg i J 1548 to 1553. Twenty-six: letters from the council during the ProteGtorate of the Duke of Somerfet and four letters after his depofition, all original, and containing the autographs of almoft every member of the council—viz. of the Dukes of Somerfet, Northumberland and Suffolk, the Marquiffes of Winchefter and Northampton, Earls of Southampton, Bedford, Arundel and Pembroke, Lords Seymour, Rich and Paget— Bithop of Ely, Chancellor, Cranmer Archbifhop of Canterbury, Sir T. Smith, Sir W. Cecill, Petu, Wotton, Hampton, &c. Some of thefe letters contain important information, whilit others are merely orders for hiring - foreign troops, fending ammunition, or on other official matters. Copies of all advices from Scotland, with which kingdom the Englifh were then _at war, .are.annexed to thefe letters, and are curious .as giving the detail of the military tranfaGtiions, and as being the only court gazette in thofe times. Five letters from the Duke of Somerfet. ‘Two ditto from the Duke of ‘Northumberland. One ditto from Duke of Bedford and others fent ambaf- fadours to France, dated Boulogne, March 1549, giving an account of the peace they had juft concluded with France. Two ditto from the famous Cecill, afterwards Lord Bur- {eigh, one of them an entire autograph written in great agita< tion in the interval between the death of King Edward and the proclamation of the Lady Jane Gray. THREE feu #] Tueree letters from Sir William (afterwards Lord) Paget. Two letters from Sir R. Morryfon, ambaffadour at the imperial court. One ditto from Mr. Vane, ambaffadour at Venice. TurEe ditto from the celebrated Sir John Cheke. Two letters from John A Lafco. Turee dittto from Martin Bucer. One ditto from Maurice, EleGtor of Saxony. One ditto from the Duke of Ferrara. | One ditto from Monfieur de l’Odenie, a French ambaffadour. Four ditto from Pietro Aretino, the laft inclofing two fonnets on Philip prince and afterwards king of Spain. Tuere are fome other letters from perfons not fo well known, and many articles of intelligence, written chiefly in Italian, from Conftantinople, Rome, Venice, &c. which Hoby procured to tranfmit to England. A passport on vellum figned by the King. An account of the expenfe attending three hundred horfe. Cory of a warrant to Sir E. Peckham, ordering him to pay fome money to Hoby. PasguiLuus Ew] Pasguitius GeRMANICUS; intended to ridicule the interim, REroRMaTIO CLERICORUM; copy of a paper publifhed in Germany about the time of the interim. Acta AucusTAr. 14 Junii 1548. Cory of a long letter from Sir W. Paget, maintaining the right of the Englith fubje@s to a river which was difputed by the Duke of Anchot, a fubje@ of the Emperour’s, whofe territory joined the county of Guifnes, at that time fubje@ to England. Cory of propofitions made by the Duke of Lorrain and Bar to the diet at Augfburg refpeding privileges. Copy of a proclamation made by a French herald in the Emperour’s court refpecting jufts at Paris. 1549. Copy of a very long letter written by a Milanefe Gentle- man to his friend the Marquifs de’Soncino, giving an account of feveral entertainments at the Emperour’s court in Flanders. Epict of Pope Julius III. againft the Lutherans. Copy of a letter from King Edward to the Queen Dowager of Hungary, regent of the Netherlands, in behalf of Mr. Cham- berlain his ambaffadour to her court. A REMONSTRANCE from feveral Englifh merchants to the Emperour. Two [ J Two petitions refpeCting fhips which had been captured by the Emperour’s fubjects. Two memorials refpeCting fimilar captures. Cory of a letter from the council to Thomas Grefham, (afterwards diftinguifhed in Queen Elizabeth’s reign) refpe€ting the borrowing and paying of money for the King in rg51. Instructions to Sir P. Hoby to pay money for the King. This paper is original and has the King’s fignature. AN account of the money as laid up in purfes. A PAPER containing a reckoning of the money. An acquittance figned by feveral members. of council, given to Hoby as a proof of his having paid the money. An acknowledgment from the mayor of London of his hav- ing received the city’s bond for the money, the corporation of London having joined with the King in giving fecurity to the lender. Cory of a bill wherein Sir P. Hoby and Mr. Grefham are bound for fix thoufand pound taken up by them for the King’s ufe. A passport figned by the Queen Regent of the Netherlands. A MEMORIAL of grievances committed by the Emperour’s fubjeéts, figned by feveral members of the council. (Original.) INSTRUCTIONS L 2 4. InstRUCTIONS given to Hoby as ambaffadour extraordinary founded on the preceding grievances. (Original with the King’s fignature. A suMMaRy of the preceding inftructions. A u1st of money and jewels which belonged to the Dutchefs of Somerfet, and copies of confeffions made by the Ladies Margaret and Jane Seymour, Lady Tyrrell and Chriftopher Dunn refpeting them. Copy of the commiffion given to Sir P. Hoby in conjune- tion with others of the council to hear requefts. Cory of a commiffion for the fale of charity lands in 1552. Examination of Lady Suffex refpe€ting fome prophecies - which had been rumoured in 1552. Cory of inftruétions given to Sir A. Dudley fent Ambaf- fadour to the Emperour in December 1552. InsTRUCTIONS given to the Bifhop of Norwich, Sir P. Hoby, and Sir R. Moryfon, Ambaffadours to the Emperour, 1553. Corres of inftructions given at two different times to the Marquifs of Northampton, Hoby and others, fent to France, refpeCting the marriage of the King with the Princefs Elizabeth of France, relating to the dowry, &c. Vou. VI. : [Cc] Siz [2d Str P. Hoby’s charge for expenfes on this embafly to France, fpecifying the different articles. Cory of the Marquifs of Northampton’s teftimony of the fairnefs of the charge—of the King’s order for payment and of Hoby’s receipt. InvenToRY of jewels, veftments, &c. in the collegiate church at Windfor. Various depofitions, petitions, &c. from the dean and chap- ter relating to the fale of the jewels and the difpofal of the. money received for them. A Diet, or manner of living prefcribed for Sir P. Hoby at fome baths in Germany in 1554. Iz proceffo del duello, a long Italian paper dated December 1554 Cory of the Elector of Saxony’s reply to the King of Bohemia refpecting the prorogation of the diet in 1555. Account of a treaty between the Emperour and King of France in 1556, with the names of the ambafladours of the princes included on each fide, &c. The ey a The other Volume contains Corres of ninety letters written by Hoby to the Protector between 11 May 1548 and 19 September 1549, foon after which he returned to England for a few weeks, and was there when the Duke of Somerfet was deprived of the protectorate. Cortes of thirty-nine letters written to the lords of the coun- cil after his return to the imperial court, beginning 10 November 1549 and ending 28 October 1550. Tues letters, many of which are very long, contain accounts of “his. converfations with the Emperour and his minifters; of the tranfaions of the imperial court; of the intelligence received there, and of the opinion entertained by the courtiers of Englifh affairs, which laft topick fometimes introduces his own opinion and advice. Sucn are the contents of the two volumes which have been the fubje& of this effay. It is not probable that they will difcover any event of importance ; yet they may probably throw light upon the caufes of fome which have been the fubje& of controverfy, and particularly the furrender of Boulogne, and they cannot fail to entertain thofe who love hiftorical detail, and thofe who are curious to know what was thought of tranfactions by perfons then living, and the conje€tures which were formed refpecting events that had not taken place. [C 2] [The [ aa F [The direction of the following letter has been torn off and loft; it is in the hand-writing of Sir John Cheke, amd is figned by him and Sir Thomas Wroth, who was alfo engaged in educating the young king. With refpeé to the Scotch intelligence in’ the poftcript, it may be’ obferved that on comparing it with the extracts from the official letters which occur in another place it appears to be exaggerated. ] Wuat an ungracious chanfe have yow, mi lord ambaffadour, y' whileft Englond was il, and Germanic good ye remained here to fee thinges ye wold not, and now Germanie groweth to the worfe, and we to y° better, ye flie from Englond to Germanie, as though ye could dwel no where but where good thinges appaire (a). Ifit be yo" nature to make the contree fo, we mai be glad of your departinge, and defire ye mai go embafladour, fom other whither, to goddes and the kinges enemies. If y* goodnefs of y* contree when it is amendinge drive you awaie, we muft nedes take yow to be fum difeafes fonne, other (6) yt gontes or the ftones or the fever quartaines, or els fume megre and drie agues childe, y' can not abide in y* contree. when y* holfome (4) appaire. This word is now obfolete and is not to be found in any di€tionary I have met with. It feems, however, to have the fame meaning with impair, derived from the French empirer, which was ufed by Spenfer in a fimilar manner. «< Flefh may impair, quoth he, but reafon can repair.” See Dr. Johnfon on the word. In Tike manner appeach and appeachment have the fame fignification with impeach and impeachment. (4) other. This muft have been intended for ether. [ 23 ] holfome feafon of true religion is come. But howfoever and wherefoever god go forward, it is mooft fit for yow nov, to lie, to diffemble, to make a good face if ye had it of all thinges, and fhew yo" felf to be a man and no angel, and a ferver of tornes and no trueth. Wel this for yow, ye require now how we doo, verie wel we thanke yow, and thanke ye for yo" lettres, being forie for yo" interim (c), and defiring a femper, for y° word of godde remaineth for ever, and fuer there was never fo good an interim, for it is an interim in dede, and nothing but an interim, for while the grafse groweth y* hors ftarveth, ye afk how, even with y* famin of the worde y‘ y* prophete Jeremie fpeketh (2). but y*° lord is pacient and abideth y‘ uttermoft plunge, and y= wil fodainlie arife, and ether overthrow his adverfaries to his glorie, or punifhe his chirche and chofen for theer finne. Whiche whi- ther he do, he is glorified every waie, and dothe what he liketh beft, bicaufe he knoweth what is beft not onelie generallie for all, but efpeciallie for everie one. Here is no news, but yo’ old frende (¢) and mine is ftubburn, he will not fpeke of thoos pointes he is comanded, and of thoos he is charged to hold his peace of, he can not chufe but fpeke, beinge obedient to himfelf as a mule y' carieth y° bit in her teth, and fo lerned in his fermone, y‘ his frendes be afhamed of him. A notable differens betwene autho- ° ritee (¢c) The allufions to the interim in thefe letters are very numerous. (4) The paffage of Scripture which Sir John here alludes to, is, I believe, Amos Vili, 11.—quoting from memory he might eafily make fuch a miltake. (¢) The old frende here {poken of muft have been Gardiner, Bithop of Winchelter, who was imprifoned about this time. [ 24 ] ritee and feare, in the which when one mai fpeke~ boldlie and undangerd, everie thinge is wittie, in feare and unquietnes, a good wit fainteth, and.a harebrained witt femeth ftarke mad, for y° which fingular, difobediens he hathe bene and is yet in the towre, a place y‘ hath longed for him, fins y° bifhop of romes abrogacon, or rather expulfion. In the whiche doinge y‘ fear of troble is taken awaie, the trueth of religion goeth forwarde, the waveringe me be confirmed, y* papiftes be aftonied, and everie thinge is wel mended. Of doutful Haddington, and fkottithe matters, we wil write more in our next letters, the governemet of y* realme is deliverd bi parliamet there to y° frenche kinge, (f) y° fkeptre bi y etle of argile, y° crowne bi y° erle of anguifhe, y° fwerde bi therle of worth, y° fkottifhe quene to be maried to y‘ dolphin ef France, and embarked as it is fuppofed to take iornej into france. God fend grace and y* plentifullie, y' even as haddington, was builded of great and neceffarie confideracons, even fo bi his pleafore we maie defende it from there violence whiche is yet likely inoughe to be kept. Fare ye mooft hartelie wel, y° XVII of Julie 1548. 2. Ed. 6. from hampton courte. yo’ affured frendes. Thomas Wrothe. Joan Cheke. PosTScRiptT. (f) This circumftance is probably mifreprefented through prejudice. I can find no account of it in Buchanan, and though the French intereft was great it is very unlikely that fuch a furrender fhould be made, With refpect to the ceremony of delivering Le 25 Posrcrier. After the ende of this letter cam there good newes of haddington, y‘ y* fridaie afore ye date hereof or els y* thurfdaic, y° Scottes for lacke of p°uifion determined to go there waie whome y* frenfhmen did perfuade to tarie untill tuefdaie after, p’mifinge in the mean feafon to give thaffault, the} have yet made no breche, but batterd a bulwarke, and approched y° ditche with trenches fo y’ y" have fomthinge underminded y* bulwarke but our men hath countermined them, fo y‘ there mine is to fmall purpofe. ‘The frenfhmen entended alfo, to make a platforme on y* chirche bi, fo to have beten y° wal within, y’ our men fhold not have ben able to have defended y‘ bulwarke for y* fhot of y* ordinans, but our men hath fo beten ye ftones about theer eares, y' the} have difmounted ij of theer peces, and theer platforme ferveth them to no purpofe. Our men within for the defence of y* bulwarke have made a counter trenche and a mounte within y', y' dothe governe y* bulwarke, which the frenfh- men y“felyes doth fe to be hier then y* wal, fo y‘ this parte of haddington whiche thej entende to affaulte, is as ftrong or ftronger y™ y‘* refidue. The forfaid thurfdaie our men made a falee out, and killed 30 of theer pioners, the fame daic: delivering the fcepter, &c. if fuch a one took place, it muft have been on fome other occafion. With refpeét to the three noblemen mentioned, Douglas Earl of Angus was one of the moft zealous oppofers of the French intereft, and the Earl of ' Argyle who was chief juftice in 1550 had not then diftinguifhed himfelf. Worth is a title which bears little or no refemblance to any in Scotland at that time, nor can I conceive who was meant except it were the Earl of Morton, father-in-law of the Regent. f 26 | ‘towarde night was fent out of the towne, an hundred hack- putters (g), 30 pikes, with Go repers to get grene corne for , ‘theer horfes, theer was fent out from y* frenth, a nombre of horfeme, whereof Jamé dog was captain, and a nombre of ‘fotemen of the ringegraves bande (), whereof Monf. Maree was captaine. O° me notwithftanding this force, brought in everie man his burden, and al y* men fafe, and with y* helpe of o' ordinance bent out of y* towne towarde that place, flew Monf. Maree, hurte 60 mooft parte dedlie, and left ij in the felde. The-frenfhme accordinge to p’mife made to y™ bi y* Scottes hath required y*° deliverie of Eden- boroughe caftel unto the frenfh kinge (7), for y* y° navie of france laie theer at y° frenfhe kinges great charge, who fhall not longe be unmett withal if it plefe god, and had no fafe place (g) hackbutters. i, e. arquebufiers or harquebutters, as appears from a paflage in the intelligence from Scotland. (4) Amongft the troops fent by the French king to Scotland were three thoufand Germans commanded by the Rhingrave, Buchan, lib. xv. ch. 54. The Rhingrave was a German prince who was driven from his own country by the Emperour Charles the sth, whom he had oppofed, and had entered into the French king’s fervice. He was much efteemed as a foldier. (i) This demand is not mentioned by Buchanan; but he gives an account of the French troops under Deffé returning to Edinborough, and on being oppofed by the Governor, killing him and many of the citizens; a circumftance which proves that there was little agreement between the Scotch and their French allies. The Englifh difpatches reprefent almoft every action and fkirmifh as favourable to the Englith troops, whilft Buchanan reprefents things in a very different manner. ae oe place to laie theer municion and trefor in: which y‘ Scottes: wil in no wife agree unto, til Haddington be won, which thal be as good hope thinketh not this yere; How y* frenfhmen wil take y‘ fals p°mifinge Scottes when they have ones bene deceived inough it is not harde to faie. And for this time this is al, with our feconde farewel the daie and yere above- faide, Joan. Cheke. Thomas Wrothe: (Mynute to the Lord Protecto”™ grace.). Ir may pleafe your grace to underftaunde y‘ th’emperor cam to: this towne on tewefday laft where he hathe begun to take the lyke order ffor the gov'naunce of the fame y‘ he ufed w’ aufpurgh dy{charging: tholde counfell and placing fuche other in theire fteade as he thinkith meteft wherin he hath fo travailed as he hath alredy browght the fame in. forwardenes to be at a full poinct before monday next at thuttermoft for as then he hath appoin@ed to dept hence towards fphires and ffrom thence after a fhort abode there ftraught to flaunders as it is here commonly bruted. It is by lies out of Italy (as I am enformed by creadable men) written unto thempero’ that now of late certaine foldio™ of the ifland of corfega to the nomb of X being by the duke Oavian [D] appoin¢ted: f 38] appoingted to fleye don Fernando thempero” lieutenant in Italy and being by one y* knewe of this confpitacie dyfeovered were i of them flaine (who with the reft ftode ftoutelye at defence at the tyme. of there apprehencon) and the reft taken alyve who have _confeffed the hole circumftaunce of this treafon; theffe@t whereof is that the houfe of fernefe afwell the duke Octavian as the B of R had hired them to flay the fayd don Fernando to what ende or uppon what occafion they knewe not, this thing being conferred w'" the ffrenche kings pnt repaire towards italye:maketh men miftruft leaft he be altogether unwitting thereof the rather for that aboght the tyme y‘ this man fhold hav byn flayne he apointed to be in the confynes of piamount towards.italye, which being fo, what was ment ther by his nigh approche to mylaine and lofs of the gnall capitaune of the fame doth eafely declare, for which refpe& themper" it is fayd fendyth fiow into “italie owt of this countrie ij" v° Spaniards fotemen and ij ‘bands»of horfemen, it is allfo reported by tres owt of italie that the B of R ffynding hym fellf not thoroughly fatisfied w® the ffrenche kings detracion in thaccomplyfhement of certayne poinés agreed upon ‘in the league betwene them hath lately called to hym the firenche am. in Rome and declarid his grefe complayning y* he is not fo well and frendly ufed as he fuppofed to have byn at the ffrenche kings hands it is of fome conie@ured hereby that the league betwene them is not altogether fo flirme as it was at the begning beleved which never- theleffe how it can agre w™ the former newes I can by no means perceyve Be 207.4 perceyve yet ffor y' I have hard this thing fo reported I have thought good amongft the reft to fignifie it unto your grace. The ffrier y’ was thempero™ confeffo" hath nowe willingly lefte y' rome fume doubt left he be becumeé a ‘proteftaunt, -but the comon report w’ femethe y° moft certaine is: y’ thoccafion therof hath byn the ov'much affection wherew™ he feemed to favo’ the B of R caufe which hath well appered in y' he hath not a fewe tymes chargid thempero” confciens w' the redeliverie of piazenfa, in his rome of confeffo'fhip is enterid another ffrier who hath byn ~ w'' me fundrie tymes and pretendyth a greate ffrendfhip towards me whofe devocon towards the B of R ffor that I have prceyved by him is fo {mall as he layeth the hole faulte of this p'turbacon of the worlde (as he terms it) to hym, by this mans means under the pretenfe of this coloured ffrendfhip I hope to pike* out fume - what now and then. ffrom Ulme, the XVIIJ day of auguft a® 1548. [D2] N. B. In tranfcribing this letter, care has been taken to copy ali the contraCtions, « &c, but erafures which are very frequent have not been’ noticed. * It is hard to determine from the writing whether this word be pike, peke or poke,” ° but the fenfe feems to direct pike for pick. set Lb face payed Aniguities Vt, o, an ta, ACCOUNT of fur CIRCULAR PLATES ¢& GOLD foundin IRELAND. ByRALPH OUSLEY, MM. R.A. I N the month of Odtober 1795, a peafant near Ennifcorthy in ee iy the county of Wexford turned up with his plough four plates of folid gold, perfectly round, and of very neat wormanthip; he fold them to a Mr. Gurly of Ennifcorthy, filverfmith, who melted two of them down and fent the other two for fale to the Earl of Charlemont, Prefident of our Academy. The four were exadtly alike, quite circular and four inches and three quarters in diameter, very thin, weighing about one ounce each, ornamented handfomely at one fide and quite plain at the other, except a kind of cap or ferew for the purpofe of being affixed to a handle. The annexed drawing, being exactly of the fize and figure of one of them, will convey a better idea of thefe ancient articles than I can pretend to give of them—there being nothing like them in Harris, f° 3a Harris, Smith, Vallancey, Gough or any other of our writers on antiquities, I thought it worth while to form fome little account of thefe curious antiques, thoughI can by no means afcertain their antiquity, or determine their ufe. From the many articles of gold almoft daily difcovered in this kingdom it will not appear unreafonable to fuppofe with-‘eur ancient hiftorians, that Ireland once poffeffed mines of that precious metal, or elfe muft have had a confiderable traffick with fome nation abounding in that commodity. A Frew years ago Mr. Samuel Johns, a working filverfmith in Limerick, bought a very curious piece of thin gold of this fhape dash and of an exceeding fine quality, fuppofed to be a fhield or breaft plate: he got it from a labourer who found it in the parifh of Feakle and county of Clare—it weighed upwards of twelve ounces; he gave three pounds eight fhillings and three pence per ounce for it, and fold it afterwards to Mr. Wm. D. Moore, Gold{mith in Dublin, for four pounds an ounce. Anotuer filverfmith or merchant of Limerick (Mr. Wm. Power) bought a very beautiful crown that weighed above one pound of pure gold, with a place for a precious ftone in the center, moft elegantly worked, and found near Shronehill, county Tippe- rary; it was unfortunately broke up for rings and toys, but has been feen by feveral of my acquaintances. ANOTHER 3a Awnoruer ancient ornament (I fuppofe) I met with a few weeks ago; it was fifteen inches long, very thin and narrow, about a quarter of an inch broad, of fine gold and worth about a guinea, the ends have {mall holes in them to admit a thread thro’ and are -of this fhape Capa oe Such another was found a few years fince near Ballinrobe, and was I believe in the poffeflion of the late Judge Hellen. I am perfuaded if curious gentlemen in our different provinces would apply themfelves attentively tothe enquiry, and reward liberally the finders of gold and filver antiques, a number of very curious articles would foon be brought to light, to the amufement of the literati, and the elucidation of our antiquities. Limerick, Fanuary 25) 1797- a ; ie . 2 woiten Bre pidd, Siat ibs . . waning: a trods. ship! Bat “blog: on ae ; here on bas: ‘oids® ‘bisid, paieabe of mod ni. zolarl i oa mete eo ee (es serarerernaey esounllat ba eiaeat wat” a ‘Da y anal “abel ares Si) 30. z NEE a Roks a ie oc ah Fe f Bak FES bare a ‘sspaivoig. snot 3 “yi0 ni ; comehiog! aot * ti hae buwet, bee eciupas aly ‘ot syfoviinota govis Deore stl bie p whined wor % Sodmun, s pine ivil bes bles Yo sieban add: uleredit 4 p) : ee orth Sea ° lguald’@2 fest bleow. fi msohs ; 010 ‘acabionts bat bie it 10.08