stk 44345754} Bait? i; nee , ¢¢@ A : , . ye eae ¥ 14 TRANSACTIONS OF. fr HE ROYAL SOCIETY OF EDINBURGH. Vi OL. Tk EDINBURGH: PRINTED FOR T. CADELL, IN THE STRAND, LONDON; AND J. DICKSON, ROYAL EXCHANGE, EDINBURGH: M.DCC,XC, 7 cs J kes a A : : : a = Rae ery a2? Moausni ie bee Manda wen EALb OR “ahr A Hig aber iE i ‘ i Sava wraa f : aA = $8 os aa labee UAT fa ogatiag <2 Aga cath Wan ’ - ” - Gat Ai) ’ he REE ree yridt 3% “uote work 7 yon udamo re 1 ee 7, . ‘ « ; ee ee ie eee hail SLY sett Gat) oN wes BoM MKB 5 « OF THE SB. GON. D.*V..O- LUM E. MLAs bh im ALS HISTORY of the SOCIETY. Dr James Hutton on Written Language, - Page 5. Letter relative to the Kraken, _- - 16.. Letter from the Tefboo Lama to Mr Haftings, - IQ. Letter from the Prefident Virly, on the ufe of Cauftic Alkali in the Cure of Gravel, . - aan Report and Fudgment relative to Count de Windifchgratz’s Problem, - -" 25 Mr, Hornby on the Difiillation of Spirits from Carrots, 28. APPEND I X. List of MEMBERS or FELLows of the Roya Society of Edinburgh, continued from the firft Volume, - 31. Office-bearers of the SociETy, - - 34. MEMBERS DECEASED, - = 36. , I. Bio- *N.B. Part I. comprehending the Hisvory, is contained under one fet of pages; and. Parr II. comprehending the Pargrs, is contained under two fets, viz. Parers of the Puysrcau Cass under the one, and Parers of the Lirerary Crass under the other. , vi CC. 0:-Niim Eem. Sd 4 F ‘" ik pha he {4 iit etd ie : a ds ahead if eae eee Is Pie 2 ail ns bb Hae bphe ‘i: « ‘Ni olpeaath ss shabiiiakaahia! ie A <> "th i er ‘ : ; rt fr) wa tikedthan tke sali ry: ji > > atin ‘ '? eee? " oja° or * 2s ‘5,) won Hae! ct yy ates ‘ RN Sek EL W nS! et act t bert Co pt | as ea ar eu ae eile j Par : u eis iS PH at eLaghl, ty) ¢ ised itt Paypeet i. { “Vasa ans t ae. ai Pel GN Oe city eye E21 nites ap Py | ; re" v i q vee LAS peetioy! \jigben : ut te iH r Re jets 3 dit . ‘ — . ¥ ne : F ig ua 7 * ~ *. wi a : ¥ > : k 2 Hi i mt ; i ae APPENDIX. 77 DONATIONS prefented to the Roya Society of Edinburgh, continued from the preceding Volume. By Fohn Macgowan, Efq; Edinburgh. Anacardium Occidentale. Lin. The Fruit of the Cafhen Tree, preferved in fpirits. No. 722. Caftor Fiber. Lin. The Beaver, from Hudfon’s a No. 723. Felis Lynx. Lin. The Hudfon’s Bay Lynx. No. 724. Canis Lagopus. Lin. The Arctic Fox, from Hudfon’s Bay. No. 725. Crotalus Miliarius. Lin. The fmall Rattlefnake. No. 726. Coluber Alternus. No. 727. By the Right Honourable Lord Daer. A number of articles, collected in the South Seas by Captain BLIGH. Two parcels of fine New Zealand Hemp. No. 728, A Mufical Inftrument made of Reeds. No. 729. : An Arrow-head, formed of a hard black Schiftus. No. 730. Fifh-hooks of Mother of Pearl, and Lines, from the Friendly Iflands. No. 731.—733. Fifh-hooks, and Lines, formed of the Sinews of an Animal from the coaft of America, in Lat. 49° N. No. 734.—736. Capnias Auftralis, Smetis Auftralis, fom the South Sea Iflands. No. 737.—7 39: Catochites Auftralis, By Fohn Davidfon, ¥{q; of Ravelrig. A Lion’s Skin, with the. Head, Teeth and Claws, from the Cape of Good Hope. No. 740. Vou. Il. L Two Lift of Dona- tions, 78 HISTORY of the SOCIETY. Two Sea-weeds, taken out of the Atlantic, at a great diftance from any land. No. 741. 742. Six Arrows from Bengal. No. 743. A Malay Poinard. . No. 744. Lapis Judaicus, from the Eaft Indies. No. 745. By ohn Learmonth, Efq; Merchant in Edinburgh. Scolopendra Gigantea, Lrn. above fourteen inches long, from the Weft Indies, preferved in fpirits. No. 746. By Profeffor Da/zel. A si a of Ivory, mounted with filver, given by the King of Dachomy, in Africa, to Archibald Dalzel, Efq; formerly Governor of Whydah, as a teftimony of friendthip. No. 747: The Horn of an Antelope, from Africa. No. 748. By James Bofwell, E{q; of Auchinleck. Some large Nodules of Flint, from Italy ; each having cryftalli- fations in a large central cavity, fent from Leghorn by Sir Fohn Dick. No. 749. By Captain Lidde/. A white Greenland Bear. No. 750. By Francis Kinloch, Efq; of Gilmerton. Colymbus Ar@ticus, Lin. fhot on the fhore of Eaft Lothian. . No. 751. By the Honourable Lord Hailes. Trichechus Rofmarus. Lun. The Morfe or Sea Horfe; the Skeleton of the Head entire, with the Tufks. No. 752. By APPENDIX. 79 By Mr John Macaulay, Town-clerk of Dumbarton. The Horn of a Stag, of a fingular form, dug out of a ftratum of Clay in Dumbartonfhire. No. 753. By the Right Hon. the Lord Chief Baron Montgomery. An Indian Canoe, of fine workmanthip, from the Ifland of St John. - No. 754. By Dr pila A large Lizard, from the Weft Indies, preferved in fpirits. No. 755. By William Henry Charters, Efq; of Burntifland. Lava Garnets, found in the Lava, which overwhelmed Pom- peil. No. 756. ‘Two Copper Coins. No. 757. 758. A Silver Coin of Henry VI. ftruck at Calais, and found in the river Jed. No. 759. By Dr Roxburgh at Madrafs. A Cheft of Plants from Bengal and the Peninfula of India, con- taining feveral hundred Plants, in fine condition, and ar- ranged according to the Linnean fyftem. By The American Academy of Arts and Sciences. Memoirs of the American Academy of Arts and Sciences, to the end of the year 1783, Vol: I. 4to. Bofton, 1785. By The Royal Iri/b Academy. The Tranfactions of the ipsa Irifh Academy. 4to. Dublin, ere By Lift of Dona- tions. Lift of Dona- tions. 80 HISTORY of the SOCIETY. By Adair Crawford, M. D. Experiments and Obfervations on Animal Heat, and the In- flammation of Combuftible Bodies, tc. The fecond edition. 8vo. London, 1788. By Dr Carlyle. The Hufbandry of the Ancients, by ddam Dick/on, A. M. late Minifter of Whittingham. 2 Vols. 8vo. Edinburgh, 1788. By E. Peart, M.D. The Generation of Animal Heat inveftigated, &c. 8vo. Gainf- borough, 1788. By M. Lavoifier. Traité Elémentaire de Chimie. 2Vol. 8vo. & Paris, 1789. By Thomas Percival, M.D. Effays Medical, Philofophical and Experimental, Vol. II. 8vo. 4th edition, revifed and enlarged. Warrington, 1789. By the Reverend Archibald Alifon, A. B. Effays on the Nature and Principles of Tafte. 4to. Edinburgh, 1790. TRA NS- a ——vi nel? PAPERS OF THE PHYSICAL CLASS. I. Of certain NATURAL APPEARANCES of the Ground on the Hill of Arthur's Seat. By FameEsS Hutton, M.D. F.R.S. Eprn. and Member of the Royal Academy of Agri- culture at PARIS *. N fummer 1776, Profeflor Fercuson obferved a parti cular appearance on the hill of Arthur’s Seat, near the fum- mit, which drew his attention, and which he could not under- ftand. He then carried Dr Buack and me to the place, :where we found fomething which, at a diftance, refembled the wi- thered grafs of a foot-path, but which traverfed a fhoulder of the hill, in fuch a direction as correfponded to neither fheep- track nor foot-path. Upon a near infpection, it appeared to be a narrow ftripe of the grafs quite dead and withered. The breadth of this {tripe was about nine, or, in fome places, twelve inches ; the fides of this track were perfeétly defined, without any gradation from green to withered grafs, all the plants in the track being killed, without the contiguous part having fuf- fered in the leaft. ‘The length of this track was confiderable, a hundred yards or two, extending from the fouth-eaft fide of a2 the ‘ * This Paper was read before the Philofophical Society of Edinburgh in June 1778. It is now printed by order of the Committee for publication of the Tranfaétions of the. Royal Society of Edinburgh. 4 NATURAL APPEARANCES the fouthmoft hill through a hollow, and afcending obliquely the fhoulder of the fummit of Arthur’s Seat on the fouth-eaft fide. Ar firft thunder fuggefted itfelf as having been the caufe of this remarkable appearance; but the more we enquired into the particulars of this phenomenon, the greater difficulties oc- curred with regard to the proper correfpondence of that con- jectured caufe, as well as for affigning any other with the leaft ~ degree of probability. It is with a view to make this appear, that the following hiftory is made of the particulars which were at that time, and have been fince obferved. OBSERVATION I. THE appearance now defcribed was not the only one of the kind; for, upon examination, I found fimi- lar tracks, though of various extent, in all ‘the different afpects and fituations, from the fouth fide of the fummit to the north fide of the hill half way down to the plain; but none at the bottom. Oxss. 2, THESE appearances, though recent, or of that year’s production, had not been the firft thing of that kind which had appeared on the hill; for, parallel to each of thofe tracks of withered grafs, there was another perfe@tly fimilar, which then appeared to us as if it had been made the year before, and was then black, the grafs having rotted. The diftance of this old track from the new, was, in general, only a few inches, fometimes exceeding near, but rarely or never contiguous. Ozs. 3. THe tracks, now under confideration, have been confidered as a thing continuous in its length; but this it is only in general, or in certain portions where it is fo fometimes for a confiderable extent. In other places, again, it is compofed of feveral portions of various lengths, the grafs being unaffect- ed betwixt thofe portions which make up the track ; fo that, in fome places, the track is made as it were by fpots; and thefe {pots, although in general longer in the direction of the track, are not always fo, there being in fome places, generally at the ; extremity lh i ei soe On the Hill of ART HUR’s SEAT. 5 extremity of the track, {pots whofe fears do not exceed their breadth. Oss. 4. Tue regularity with which thofe two tracks run pa- Yallel and near to each other, is not more wonderful than is the correfpondency that is in general to be obferved with regard to the conftru@tion of thefe, as confifting either of a continuous track or of feparate pieces ; and to fo great a degree is carried this refemblance of the two tracks, that, where it is by fpots the tracks are made, there the fimilarity, even of the fpots, were fometimes remarked, fo that it feemed as if the one had been a copy of the other. Oss. 5. Brestpes the brown colour of thofe new made tracks, which might be feen at a confiderable diftance, (two or three hundred feet), there was another ftripe of a dark green, which might be feen at a ftill greater diftance. Upon more clofe exa- mination, this laft appearance was found to take its origin in fome grafs of a very dark green, which, in fome places here and there of the laft year’s track, began to grow in the black ground and among the rotten grafs ; but the greateft part of this deep green was behind the laft year’s track, and was evidently owing to a fimilar growth of grafles in places which had been formerly killed or withered, and were now almoft covered with new plants, which gave a deeper fhade of green than the reft of the hill. Tus laft obfervation led to another; for here a queftion na- _ turally occurred, That, fince this fucceflion of things had cer- tainly taken place at leaft three years, how many {fucceflive tracks might be detected from the examination of thofe appear- ances? With this view I confidered attentively fome places where the marks were moft diftinét, and could plainly count five or fix fucceffions ; the number cannot be accurately afcer- tained, becaufe thofe which have been made above three or four years are much effaced, although the colour, and fome other marks, evidently prove, that there had been feveral more. Oss. 6 NATURAL APPEARANCES “Oss. 6. Tue tracks which have been now defcribed, are not {traight lines, but have all more or lefs of a regular circular na- ture in them; that is to fay, they are fegments of circular fi- gures, and only approach to the appearance of right lines, in proportion as the figure of which they are the fegments is large, or the fegment fmall; and in thofe refpects there appears’ to be great variety. There is, however, one appearance which, at firft fight, might impofe upon an obfervator, and deftroy the generality of this obfervation. It is an inftance or two that oc- cur of a continued line in thofe tracks; but, in this cafe, the line appears to be made up of feveral fegments, each of which ought to be confidered by itfelf ; confequently, here will be ac- knowledged the operation of the fame general principle by which, in thofe appearances, a regular figure is produced, and that this figure is in its nature circular. Oss. 7. Tue production of thofe tracks being fucceflive in its nature, or operating in different places at different periods of time, fuggefts another fubject of enquiry, viz. How far any re- gularity, or a certain order, may be obferved alfo with regard to this operation, as well as with regard to that by which the figure is produced ? And this, from obfervation, | think, is de- termined in the affirmative, fo far as, from all the obfervations I have made, this progrefs feems always to have proceeded in the direction of « line, drawn from the centre, bifecting the fegment ; that is to fay, thofe portions of concentric circles are never infcribed, but always circumfcribed ; and, for this reafon, it will appear, that thofe circles, of which fegments are exhibited to our obfervation, muft be increafing, and not di- minifhing, in their diameter. Havinc thus given an account of what was concluded from the firft feafon of thofe obfervations, before proceeding to give the continuation of their hiftory, it may be proper to obferve, that an unfuccefsful attempt was once made to inveftigate the caufe, On the Fill of ART HUR’s SEAT. 7 caufe, by the infpection of the turf cut up, and compared with that immediately contiguous to the track; for, on that occafion, nothing was found that could give any light into the nature of the operation. From the narration of appearances already made, the hiftory of what has happened fince that fummer, 1776, will be extreme- ly fhort, and may be comprehended in two or three words, In the fummer 1776, there was prognofticated a fucceffion of appearances fimilar to thofe which, from the obfervations then made, had been concluded as having already come to pats, and been tranfacted with a certain regularity in a former period of time. The event has fully juftified the judgment which was formed at that time, refpecting the order and regularity of the appearances, and has alfo left us in the fame ftate of uncer- tainty, or rather ignorance, with regard to the caufe. In the fpring, about the month of April, the grafs begins gradually to wither and decay. It is perfe€@tly dead in a little time, that is, in a week or two, and then appears white or wi- thered. Thus, every plant being killed in the new track, thofe vegetable bodies, expofed to heat and moifture, gradually decay, fo as next year to exhibit a dark or black, inftead of a light or white track, which it had been the year before ; but during the fecond year, the dead plants are ftill obferved in the turf, which, as it begins to get new plants, lofes gradually the appearance of the old ones, until at laft little more can be ob- ferved, than a broad fhade of.a much deeper green, which, on the one fide, is compared with the natural verdure into which it fometimes feems gradually to terminate ; whereas, on #the other fide, the deep green colour of the ground formerly tracked, is contrafted with the yellow or light colour of the wi- thered grafs. From the infpection of the ground, and the hiftory of what has been obferved to happen, nothing is more evident than that this regular fucceflive operation has been now repeated, at leaft in 8 NATURAL APPEARANCES in fome parts of the hill, for eight or nine years. Here, there- fore, is a piece of natural hiftory worth recording, and for which a theory is wanted. THE appearances which have been here defcribed are, fo far as 1 know, fingular and unconneéted with all others refulting from known caufes. I know that fimilar circles have been obferved by naturalifts, and by them afcribed to thunder ; as we fhould certainly have done in this cafe, were it not for the regular an- nual progreflion, which, if the effect of thunder, muft follow rules not yet inveftigated, either in ele@tricity, vegetation or the mineral fyftem ; for, How comes it, that the electrical operation takes place regu- larly in the {pring only, and that without any appearance of thunder? 2dly, How comes it, that the ftripe of grafs deftroyed by one operation, is always regularly progreffive in one particular di- rection, in relation to the firft electrical operation ? 3dly, If this progreffive appearance fhall be confidered as an electrical operation, and every fucceflive repetition as directed by the one immediately preceding it; then, how was the firft produced ; when was it; and when will be the laft? THE next conjectural caufe that fuggefts itfelf as an explana- tion of -thofe appearances, is the operation of infects. But there feems to be no lefs difficulty in reconciling any known animal- -ceconomy with the appearances under conttoranomy as the only caufe of thofe appearances ; for, How fhould thofe animals have been diftributed in thofe fe- parated tribes upon the hill, and difpofed in the continuous tracks, fo as to exhibit lines of long extent, traverfing ground* and foil of various quality, as well as in tracks of very little extent; but, whether great or fmall, formed upon the fame principle, every part having a fimilar relation to a whole? Are thefe large tracks to be confidered as the extenfion of colonies which once had been fmall? or, Are thefe colonies droppéd: “Tee On the Hill of ARTHUR’s SEAT. 9 dropped from the atmofphere upon the different parts of the hill, in the fhape and extent in which we find thofe ftripes of withered grafs? This laft hypothefis is not fupported by any appearance that I know of in this country ; and the other is not confiftent with the natural appeararices to which it muft be- long ; for the folitary. or infulated {pots, which often form part of a ftripe, feem to be reproduced, in nearly ‘equal quantity, each fucceeding year, without any gradual extenfion in the ftripe; which alfo feems to preferve its former extent, as well as breadth and form. THEREFORE, when we confider the various fituations and extent of thofe narrow ftripes of withered grafs, the regularity to be obferved in their fhape and progreffion, and the conftan- cy which feems to take place with regard to their fucceffion, we mutt, at the fame time, be perfuaded, that there is a natural caufe which may be. inveftigated for the explanation of thofe appearances, and reject the mere fuppofition of caufes:which do not feem, of themfelves, adequate to the effect perceived. GREAT attention would be required in making obfervations with a view to difcover the caufe of thofe appearances ; and the difficulty of this taflk is much increafed by an ambiguity which occurs on certain occafions, where the breeding of in- fe&ts in confequence of the death of plants, may be miftaken for the death of plants in confequence of infects; but, on the other hand, in the prefent cafe, great advantage, for an en- quiry of this fort, may be derived from the opportunity that there is of examining, not only what had been killed the pre- ceding, but alfo that part which is, perhaps, to be killed the enfuing feafon ; and where experiment may be made by cut- ting off the communication betwixt thofe two parts as deep as the foil may admit. THE apparent production, or rather the multiplication of fome fpecies of animals, in confequence of a certain deftrudtion Vou. II. b of 10 NATURAL APPEARANCES of the vegetable turf, is a thing eafily to be conceived, like what happens in thofe ftripes the fecond year, when I have feen an abundant crop of a certain fpecies of mufhrooms in the track. Had animals of a particular fpecies been found there, in the exa- mination of the foil in thofe withered tracks, a rafh conclufion might have been formed, in erroneoufly attributing as a caufe for the appearance, what was truly an effect or confequence of the thing in queftion. Ir is always making a ftep towards the difcovering the caufe of a phenomenon, when caufes which, with fome degree of pro- bability, have been afcribed to an event, are found to be uncon- nected with, or to have no affinity to it; for this is the natural method of inveftigation, by examining the affinities or rela- tions of things, and reje@ting thofe as properly related, where there is found a difcrepancy. Thus, as there is no effet with- out its proper caufe ; fo, in proportion as a greater number of events are found to be unconnected with an appearance, fome kind of approach is made towards that by which the natural appearance is to be explained; but in cafes where events are multiplied or numberlefs, every approach of this kind is only negative; and fuch a method of inveftigation, while it may be the means of difcovering the thing in queftion, only fhows that what we want is not attained. This, however, if made with full convi€tion, is no contemptible {tep in natural philo- fophy, where, next to the inveftigation of the proper order in events, it is of the higheft importance to avoid, or to correct, the improper connection of them. Tue explanation of the phenomena, in the prefent piece of natural hiftory, either by thunder or the operation of infects, without having obferved the atual connection of thofe diffe- rent events, is merely conjectural, as would be equally the re- fufing to admit for explanation a known caufe, which, though not actually obferved as connected with the event in queftion, had, On the Hill of ARTHUR’s SEAT. _ Il had, in other refpeéts, the requifites for producing a fimila effect. : Bor all that is known at prefent of electricity, or the ope- ration of infeéts, is far from being fufficient to be confidered as the explanation of the appearances in queftion ; for, Tuoucu the growing plants, or the vegetation of a portion of the living turf, may be killed either by means of electricity or infeéts, thefe are not the only means by which that effect _may be brought about; at the fame time that this is the only circumftance, in the natural appearance, explainable by the fup- pofed caufe: Therefore, as every circumftance in an appearance mutt be properly related to a caufe, by which it is to be ex- plained, fo the many circumftances here found, without any af- finity to, if not inconfiftent with the conjectured caufe, will - Jeave no room for admitting fuch an explanation, according to the prefent view which has been given of the fubject. ~ II. 4n Account of the Method of making th OTTER of ROSES, as it is prepared in the Eaft Indies, Communicated in a Letter from DoNALD Monro, M.D. of London, to Mr Foun RoBison, Profeffor of Natural Philofophy in the Univerfity of EDINBURGH *. S TR, London, ‘Fermyn Street, Fuly 10. 1783. Hap the following receipt for making the Oster of Rofes, as it is prepared in the Eaft Indies, from Major MAcKENZIE of Coull, in the county of Rofs, who told me he got the ac- count from an officer of his corps, who was up in the country where it is prepared, and affifted in making it himfelf. TAKE a very large glazed earthen or ftone jar, or a large clean wooden cafk ; fill it with the leaves of the flowers of rofes, very well picked, and freed from all feeds and {talks ; pour on them as much pure {pring water as will cover them, and fet the veflel in the fun in the morning at funrife, and let it ftand till the evening, when take it into the houfe for the night; expofe it in this manner for fix or feven fucceffive days, and, at the end of the third or fourth day, a number of particles, of a fine yellow oily matter, will float on the furface, which, in two or three days more, will gather into a fcum, which is the Otter of Rofes. This is taken up by fome cotton, tied to the end of a piece of {tick, and fqueezed with the finger and thumb into a {mall phial, which is immediately well ftopped ; and this is repeated * Read in the Philofophical Society of Edinburgh in 1783 ; and publifhed by order of the Committee for publication of the Tranfactions of the Royal Society of Edin- burgh. Of making the OTTER of ROSES. baal bas repeated for fome fucceflive sliateatent or while any of oa fine effential oil rifes to the furface of the water. _N.B. I wave been.informed that fome few drops of this ef. fential oil have been more than once colleéted by diftillation, in the fame manner as the effential oils of other Baa here in _ London. - Lam,» ‘SIR, Your moft obedient humble fervant, D. Monro. IIE. II. DescRiIPTION of a MERCURIAL LEVEL, invented by ALEXANDER KEITH, Efg; ¥.R.S. & A.S. Epin.*. IcurE I. is a fection of the inftrument formed of maho- gany or boxwood. AA are two oblong fquare cavities connected together by a narrow clofe channel, running from the bottom of the one to the other. BB are two grooves hol- lowed out of the wood, in order to contain the fights, tc, They are fhut up by a lid, which turns upon a fcrew-nail at the centre C, as may be feen more diftin@lly from fig. 4. Fic. 2. DD are the two fights, the one with a {mall hole, the other with a crofs-hair. Thefe fights are erected upon two pieces of ivory or hard wood, which are fhaped nearly of the dimenfions of the cavities A A, but fo much fmaller as to enter without touching or rubbing on the fides. Mercury is poured into the two holes A A till they are about half full; the two pieces of ivory which fupport the fights, are put into the cavi- ties, and float on the furface of the mercury. Fic. 3. is a perfpective view of the inftrument when the fights are floating upon the mercury; and fig. 4. is another view of it, when the fights are taken out and the lid is open. As the two cavities communicate with each other, the fur- face of mercury in both are always upon the fame line of level; and confequently, if the two fights are once accurately adjufted, they will ever after point out the true level, without requiring any after adjuftment. WueEN this inftrument is to be ufed, it may be laid on any horizontal furface, and the fights will immediately become an exact * This Paper was read before the Philofophical Society of Edinburgh in December 1778; and is now priated by order of the Committee for publication of the Tranfactions of the Royal Society of Edinburgh. Defrription of a MERCURIAL LEVEL. tg exact level. It may alfo be fixed on a tripod as the {pirit-level ; or it will anfwer equally well, if it is affixed to the top of a fingle {take, which is fharpened at the point fo as to be pufhed into the ground. If it is to be ufed as a pocket-inftrument, it may be made of feven inches length, being about double the dimenfions of the annexed draught. A common walking cane forms a very convenient fupport. It is affixed to the cane by means of a brafs pin E, which paffes through the hole G, and through the eye or hole of the walking ftick; and a brafs nut F, {crewing to the male-fcrew of the brafs pin, keeps them firm together. The two grooves BB, contain the two fights and brafs pin, when not in ufe. Two corks, covered with thin lea- ther, fitted into the holes AA, confine the mercury, when the inftrument is to be tranfported; or, in cafe the mercury is found to efcape, it may be poured into a fmall cafe, made of lignum vitz, like a tooth-pick cafe; and this may be ftopped. with a cork, and made to fit into one of the grooves; Tue advantages of this inftrument over the fpirit-level are :: if, It requires no adjuftment, confequently two obfervers, though otherwife not equally accurate, muft make the fame ob- _ fervation. 2dly, With this, the level of twenty different places may be taken during the time required to adjuft the fpirit-level for one obfervation. 3d/y, The nicety of the fpirit-level depends. upon the {mall curve of the glafs-tube, in the choice of which no rule can be laid down ; neither is any thing gained, in point of exactnefs, by lengthening the fpirit-tube above three or four inches. But every inftrument of this kind is of one ftandard ; and the further the two fights are removed from one another, the more any error is diminifhed. 4¢h/y, This inftrument can: be made perfectly juft, without taking any obfervation, or com- paring it with another level. In order to do this, let the floats: on which the fights reft, be of the fame dimenfion and weight,, and let the crofs-hair and eye-hole be of one height, and, with- out farther adjuftment, they will point out the true level. THE 16 _Defeription of a MERCURIAL LEVEL. Tue following is a proof of the exactnefs of this method. Joun MILLER, the mathematical inftrument-maker, has a line drawn upon the oppofite fide of the Parliament-fquare, fronting his fhop, by which he has been in ufe to adjuft his fpirit-levels. We placed the mercurial level upon the {pot known to be upon an exact level with the line. Both he and I looked through the fights ; but could not perceive the line. We fufpected there was fome fault in the fights ; but, on making them vibrate, we found that the hair had covered the line; fo foon as they fettled, the line was again covered by the hair. Wuen there is a {trong wind, the fights vibrate too fnuch. In order to remedy this, there is a cafe of tin’d plate or pafte- board made to inclofe the inftrument when not in ufe. Vid. fig. 5. When ufed, the cafe covers only about one half of it, leaving room for the fights to float within the cafe. There are two oval holes at each end of the cafe through which the obfervations are made. IV. bint ont oan Shedeeten a + a | nl ir ree —~ ~ ietaeeg ame ty IV. PATHOLOGICAL OBsERVATIONS on the BRAIN. By Mr THomas ANDERSON, F.R.S., Evin. Surgeon at Leith, and Fellow of the Royal College of Surgeons *. HE following obfervations may ferve to illuftrate and confirm the opinion now very generally adopted by Ana- tomifts and Phyficians, That an affection of one hemifphere of the brain, whether from internal difeafe or external accident, produces its morbid fymptoms on the oppofite fide of the body. Case 1. A LADY about forty, whom I attended along with Dr Monro, was for many years affected with violent headachs; fhe complained of the pain being moft violent in the crown of her head, which at laft brought on convulfive tremors of the left" arm and leg; thefe often continued half an hour, and would return three or four times a-day ; the fits grew more fevere and frequent, and the right fide became affected, and frequently fhe was comatofe for twenty-four hours, till, quite worn out, fhe died in November 1770. Ow opening her head, when the dura mater was taken off, on the right hemifphere of the brain, there was a lofs of fub- ftance, for about two inches and a half in length, one and a half in breadth, and about the middle near an inch deep, the length of which was in the direction of the falx: In the middle of this, immediately under the coronal future, and on the fide neareft to the falx, within an inch of it, there was fome foft Vor. II.. c brownifh: * Read before the Philofophical Society of Edinburgh in 1781; and now printed by order of the Committee for publication of the Tranfa¢tions of the Royal Society of Edinburgh. 18 PATHOLOGICAL OBSERVATIONS brownifh matter in the bottom, on touching of which with the knife, I difcovered ftony concretions, which were taken out and wafhed. Several of them broke into fand on the {flighteft touch; but four or five of them, each about the fixth of an inch in length and breadth, and a little thicker than the fhell of an egg, I faved, and afterwards gave to Dr Monro, who was not then prefent. Case 2. Wittram C. about forty-five, of a corpulent ha- bit, was, for feveral years, fubje& to epileptic fits, which com- monly returned every three or four weeks, and any irregularity in eating or drinking would immediately bring them on; but when cautious, living fparingly, and taking fome laxative, he -was often free from them for four or five months. Tue fits always came on with convulfive motions in the right arm and leg, which, in a few minutes, were fucceeded by ftu- por, in which he continued above half an hour. In November 1775, he received a ftroke on his head, which brought him to the ground ; was inftantly feized with one of the fits; and, in twenty-four hours, had ten or twelve of them, in all of which the only parts convulfed were the right arm and leg ; the fits became more frequent, a total ftupor came on, and he died fourteen days after. On opening his head, on the left hemifphere, immediately under the coronal future, and an inch from the falx, the dura mater adhered to the brain, for about the fize of a fhilling, and was fo much thickened and hardened as to be in a cartilaginous ftate; the brain, for the fize of a large walnut, was much hardened, and the under part of it adhered flightly to the falx ; on the outer fide of this hardnefs, on that fide furtheft from the falx, and in the middle of the fubftance of the cerebrum, there was about an ounce and a half of extravafated blood, which - was foft, and of a black colour. CAsE On th BRAIN. 19 Case 3. Ropert H. a failor, about forty, when on board of fhip, ftooping down, received a violent ftroke on the back part of the parietal bones by the falling of a boom; there was no wound, but the parts were much bruifed. Some months after, he complained of a pain immediately under the part on which he received the ftroke, which gradually grew worfe, and in a year and half the pain was moft excruciating, and brought on violent convulfions in both upper and lower extremities of both fides, the violence of which, in fome months, put an end to his life. On opening the head, the pofterior part of both hemifpheres of the brain was found greatly inflamed and much hardened; and adhered firmly to the dura mater and the falx ; the left fide was more difeafed than the right, and the dura mater, in fome places where it adhered firmly, was much thickened, and almoft. cartilaginous. Case 4. Mr L. by a fall down a ftair, fractured the left pa- rietal bone. I faw him in half an hour, when he was in a ftu- por. He was immediately bled very plentifully, and then carried home. The fracture extended from the middle of the bone downwards and backwards, and was traced near to the maftoid procefs ; but I could not carry the incifion any further. A piece of the bone was taken out by the trepan; a confidera- ble quantity of extravafated ferum and blood was found. pref- fing on the dura mater, which was got out; the wound. was dreffed, and he was bled very plentifully a fecond time; af- ter which he became fenfible, and anfwered diftin@ly when fpoken to, and, after fleeping fome hours, was greatly relieved, but at times the right leg and arm were attacked with convul- five tremors, which continued for three days, and, on the: fourth day, every fymptom appeared very favourable, and he had the appearance of doing well; but he frequently complain- ed of a pain in his head. On the twentieth day, he was feized c 2 with 20 PATHOLOGICAL OBSERVATIONS with rigor, which was fucceeded by a feverifh paroxyfm, that frequently returned for three days; his pulfe became conftantly quick, and he died the twenty-eighth day. His friends would not confent to his head being opened. Cases. ALEXANDER H. a lad of eighteen, fell into the hold of a fhip about fifteen feet down, and was carried home in a ftupor. A tumefaétion was obferved on the top of the right parietal bone. After a plentiful bleeding, he recovered of the ftupor ; a laxative was given, and he was bled again in the evening. On the third day, the ftupor returned ; and, on the evening of that day, I was called in, when there was every fymptom of compreflion of the brain, and next morning Dr Monro and Dr AusTINn were fent for. It was then judged proper to exa- mine the ftate of the right parietal bone, where the tumefaction was at firft obferved. No fra&ture could be found ; but a piece of the bone was taken out by the trepan. Nothing was feen that could occafion any preffure. The ftupor, &%c. continued, and he died the thirteenth day. Eighteen hours after his death, I went to open his head; but fuch a degree of putrefaction was come on, that a great part of the brain had come out of the hole in the bone, quite diffolved and putrid. The teguments were taken off, but no fracture was found in any part of the head. Case 6. A failor boy of fourteen fell into the hold of a fhip. He was carried afhore in a ftupor. There was a {welling on the middle of the right parietal bone, without any wound. He was bled, and put to bed; and, in half an hour, was fo much recovered, that it was thought unneceflary to infpect the {tate of the bone. He was ordered a laxative to take in the night; but next morning it had not operated. It was then re- peated ; and in the evening he appeared very well; but there feemed to be a degree of torpor in the inteftinal canal, from the laxatives On th BRATIN: 21 laxatives not operating. A clyfter was given, and the laxative again repeated. Next morning, his left arm and leg were quite paralytic, the pupil of the left eye was dilated, and did not contract when a lighted candle was brought near it, nor was he fenfible of its being there; but he could read diftin@tly with the other eye, and the right leg and arm were very well. In the afternoon, juft forty-eight hours from the time that he met with the accident, the bone was laid bare,and in the middle of the right parietal bone, a piece was found to be broken off more than an inch fquare. The upper fide had pierced the dura mater, and gone into the fubftance of the cerebrum. ‘The broken piece was eafily taken out, and the wound drefled. Immediately af- ter, the pupil of the left eye contracted, and he could diftin- guifh large objeéts with that eye, and the leg and arm were lefs affected. He had a good night, and next morning could read when the right eye was fhut. On the third day after the operation, when the wound in the dura mater inflamed, and a confiderable tumefaction came on, his left eye, leg and arm be- came again paralytic, with frequent convulfions in the left leg and arm, but without the fmalleft complaint in the other fide. In this ftate, he continued for feyeral days ; a fuppuration came on ; the {welling went off; after which he continued well, and the wound healed up in eight weeks. From thefe cafes, I fhould infer : 1. THAT when one hemifphere of the brain is affected, it generally produces its morbid fymptoms on the oppofite fide of the body. 2. THAT when both hemifpheres are affected, the whole bo- dy fuffers. 3. THAT though one hemifphere only is affected, when the injury is great, the whole body will fuffer. 4. THAT 22 PATHOLOGICAL OBSERVATIONS, &c. 4. Tuat though the cerebrum alone is hurt, it produces morbid fymptoms in all mufcles of voluntary motion, whe- ther their nerves take their rife immediately from the cere- brum, from the cerebellum, or from. the medulla oblongata. 5. THAT, in cafes of external accident, where one fide is. affected, it is more favourable than when both fides fuffer. Vv. V. ExpERIMENTS on the EXPANSIVE FORCEOf FREEZ- ING WATER, made by Major Epwarb WILLIAMS of the Royal Artillery, at Quebec in Canada, in the years 1784 and 1785. Communicated in a Letter from CHARLES Hutton, LL.D. F. R.SS. Lonp. & Epin. and Profefor of Mathematics in the Royal Military Academy of Woolwich, to Profefor FoOHN ROBISON, General Secretary of the Royal Society of Edinburgh. [Read by Mr ROBISON, Nov. 6. 1786.] SIR, HE following is an extract of a letter to me from Major Epwarp WittiAms, of the Royal Artillery, a learned man, and of great profeflional merit. Being at Quebec in fome very cold winters, among various other ingenious experiments, it occurred to him to try the force of congelation in fome of the iron bomb-fhells, which are ufually fired out of mortars in the practice of artillery ; by filling the cavity of the fhell with water, and then, having plugged up the fuze-hole, expofing it to the cold to freeze the water, in order to find whether the ex- panfion of the ice would be capable of burfting the fhell. Tue dimenfions of the 13 inch fhell are as follow: Inches. Outer diameter of the fhell, 2 12.8 Inner, or diameter of the cavity, - 9.1 Thicknefs of metal at the fuze-hole, 155 Ditto at the bottom or oppofite part, ne Diameter of the fuze-hole, ends 1.7 And the dimenfions are Similar in the other fhells.) The fuze- hole is conical, the oppofite fides of which, when produced, meet 24 On the EXPANSIVE FORCE meet at the extremity of the diameter, which paffes through the middle of the. hole. He found, that the iron plug could hardly ever be driven fo firmly into the fuze-hole as to refift the force of the expanfion of the ice, which pufhed it out with great velocity, and a bolt or cylinder of ice, of a confiderable length, immediately fhot up from the hole. But when the plug was fixed in with fprings, which laid hold of the infide of the cavity, fo that the plug could not poffibly be pufhed out, the force of expanfion then fplit the fhell, and a fin or plate of ice fhot out quite around. EXTRACT from Major Wititam’s Letter. THESE experiments were made on iron-fhells, from the 13 inch-fhell to the cochorn, of 4.4 inches diameter, by filling the fhell nearly with water, and driving in an iron plug with a fledge hammer. Time. | | Elev. of | Wt of 1784. Hour. | Barom.| Ther. | Wind. | thefuze | plug.oz Diftance. Dec. 21. | 12 night.) 29.66 | — 10) Wefterly. go 35 “Unknown. 22.10 A. M.| 29.69 | — 3 | Eatfterly. go 37.25 | 22 feet. 23.| 9 P. M.| 29.80 | — 16 | Ww. go 34-5 Unknown, 24.|11 A.M.| 29.25 | — 6 Ww 80 39-25 | 62 3t-| 11 A. M.| 29.60 | — 18] W 45 39-25 | 387 1785 : Jan. 2. | 5 A. M. | 29.96 | — 19 W. 45 | 4175 | 415 4 | 7 A. M. | 29.46 | — 12 Ww. 45 | 42 Burft. g-' 9 A.M-! 29.35 | — 4! W- 45 | 405 | 325 REMARK & Dec. 21.—TueE fuze-axis of the fhell lay nearly perpendicu- lar to the horizon. On examining the effect, about g o'clock the following day, I obferved the plug gone, and a cylinder of ice, of 44 inches high, rifing perpendicularly from the fuze- hole, and of equal diameter. I fearched carefully for the plug, but em 3 Of FREEZING WATER. 25 but could not find it, as there was about 34 feet of fnow on the ground. 22.—I watcHED this fhell about an hour, when, being called out on bufinefs, I found, on my return, three hours af- ter, the plug gone, and the icy cylinder 24 inches high. Plug loft. 23.—I HAD a plug made, and jagged or notched along the fides, to prevent its being forced out fo eafily ; and watched this fhell for upwards of three hours, going into the houfe at intervals to warm myfelf. The laft time I went in was about half an hour after twelve, when, after a few minutes, I heard a fort of hiffing found, upon which running out, the plug was gone, and a cylinder of ice fhot up, exceeding any of the for- mer, being 64 inches high. Plug loft. 24.—A SIMILAR plug to the laft. I watched this with more fuccefs ; for although abfent at intervals; yet at half paft four in the afternoon, (therm. at 6°) I faw the plug fuddenly forced out by the column of ice, accompanied by the hifling noife ; and, obferving its fall, I found it at 62 feet from the fhell. The icy cylinder was 4 inches high, and the fuze-axis of the fhell I found lay nearly at an angle of 80° with the horizon. 31.—ConcLupineG from the foregoing experiments, that no plug could be fo fixed, as to render the refiftance at the fuze- hole greater than at the weakeft part of the fhell, in which cafe I fuppofed it would burft, (which was the primary objeé& in thefe experiments) I thought it might be worth while to obferve how far the force of congelation would project a plug of a given weight and figure, and forced in with the fame number of ftrokes of the fledge hammer. For this purpofe, I placed the fuze-axis of the fhell at an angle of 45° with the horizon, and on the 3rft of December 1784, being the coldeft day of this year, the plug was projected whilft I was abfent, a cylinder was fhot out, in the direétion of the axis, of 7} inches, and not in- Vo. II. a clining 26 On th EXPANSIVE FORCE clining in the leaft from that direction to the horizon. The plug was loft. 1 ‘Yan. 2. 1785.—Beine colder than 31ft December, in order to haften the effeét, I put a mixture of common falt and fal ammoniac to the water, and tied a long pack-thread, with a piece of red rag at its end, to the fuze, in order to find where it fellin the fnow. This plug made its efcape, like the reft ; for at half paft fix it was flown, and a cylinder of 8+ inches of ice ftanding over the fuze-hole. The plug was loft; for the red rag appeared no where on the furface of the fnow. 4,—TRIED a plug made with fprings, in the manner of a fearcher, only very fhort and ftrong. Added the freezing mix- ture. The fhell gave a fudden crack at a quarter after nine, and inftantly fhot from its furface two thin plates of ice, re- fembling fins, about 2 inches in the higheft parts. On exa- mining the fhell I found it burft, and the plug forced up about half an inch; and, on breaking the fhell, the fprings were con- fiderably bent, fo as not to have recovered their firft fituation. g-—RepeaTep the laft experiment, with a fimilar plug and the freezing mixture. It was thrown out, as before, and the projecting icy cylinder was 33 inches high. SIMILAR experiments were afterwards made with all the leffer fhells; yet, though one or more of each fort were actually burft, more plugs were projected than produced that effect. As foon as the fnow began to difappear from the furface, I fearched carefully for the plugs, and found fix of them ; which, being all marked with notches after the firft experiment, I eafily formed from them the following table. Plug, ag ny My acm = a Of FREEZING WATER. 27 Plug, No. 1. Dec. 22. 22 feet. 34 to the right of the line of direétion. on 24. 62 5 left. 4. Bi 387 2+ right. 5: Jan. 2. 415 34 right. 6. 4. Shell burft. 7. 9: 325 4+ left. Sucu was the refult of thefe experiments, from which I leave it to you to draw conclufions. I intend to purfue them again this winter; and, if you can fuggeft any ideas on the fubjec& that can reach Canada before March 1786, I fhall be glad to avail myfelf of them. Ep. WILLIAMS. REMARKS on the preceding Extra& by Cua. Hutton, LL. D. From thefe ingenious experiments, we may draw feveral conclufions. As, t Firf, We hence obferve the amazing force of the expanfion of the ice, or the water, in the act of freezing ; which is fuff- © cient to overcome perhaps any refiftance whatever ; and the con- fequence feems to be, either that the water will freeze, and, by expanding, burft the containing body, be it ever fo thick and ftrong ; or elfe, if the refiftance of the containing body exceed the expanfive force of the ice, or of water in the aé of freez- ing, then, by preventing the expanfion, it will prevent the freezing, and the water will remain fluid, whatever the degree of cold may be. THE amazing force of congelation is alfo obvious from the diftance to which the iron plugs were projected. For, if we confider the very {mall time that the force of expanfion aéts on the plug in puthing it out, and that the plug. of 23 lb. weight, was projected with a velocity of more than 2o feet in a fecond d 2 of 28 On the EXPANSIVE FORGE, &c. of time, and thrown to the diftance of 415 feet by this force 5 fo ating, the intenfity of the force will appear to be truly afto- nifhing. 2dly, We may hence form an eftimate of the quantity which the water expands by freezing. For the longeft cylinder of ice was obferved to be 84 inches without the hole ; to this add 14, the thicknefs of the metal, or length of the hole, and the fam, or 10 inches, is the whole length of the cylinder of ice, the diameter of which is 1,75 inches; and hence its folid con- tent is 1.7?7X1I0x.7854 cubic inches. Bur the diameter of the {pherical cavity, filled with water, is 97's inches; and therefore g.1°x3x.7854 is the content of the water in cubic inches. Hence then the content of the water is to the increafe by expanfion, as 3 of g.1* to 10 times I.7*, or as 502.4 to 28.9, or as 174 to 10. So that the water, in this inftance, expanded in freezing, by a quantity which is between the 17th and 18th part of itfelf. Cc. H. Vi. VI. ABSTRACT of EXPERIMENTS made to determine the TRUE RESISTANCE of the AtR to the SURFACES of BODIES, of various figures, and moved through it with different degrees of velocity. By CHARLES HUTTON, LL.D. Profeffor of Mathematics in the Royal Military Academy, Woolwich, and F.R.§. Lonn. & Epin. [Read by Mr RoBISON, ‘Fan. 1. 1787.] om HE experiments from which the following are extratt- ed, make part of a courfe, inftituted at the Royal Mili- tary Academy, for determining the refiftance of the air to a fur- face of any form whatever, either plane or curved, moved through it with any degree of velocity. I was induced to un- dertake thefe experiments, both for the improvement of my ftudents in the Academy, and with a view to apply the conclu- fions derived from them towards perfecting the theory and practice of military projectiles, as well as other branches of na- tural philofophy, in which the preffure or refiftance of fluids is concerned: Circumftances, concerning the laws of which, authors on the theory have widely differed; fome making the preffure or refiftance equal to the weight of a column, whofe altitude is equal to the whole height due to the velocity, while others make the altitude very different, either the half or the: double of that. This altitude, however, it is evident, will be va- rious, according to the nature of the fluid, whether elaftic or non-elaftic, c. or according to its different degrees of com- preflion. I have, therefore, confined thefe experiments to the preffure and refiftance of the air only, being that which affects the 30 On th RESISTANCE of the AIR the accuracy of the branch, for the improvement of which I am more particularly folicitous at this time; and therefore the laws here deduced are not meant to be extended to other fluids of a different nature. 2. THE machine with which thefe experiments were per- formed, was made after the pattern of, and by the fame work- man as that which is defcribed by the late excellent Mr Ro- BINS, in the firft volume of his works, as publifhed by Dr Witson, and of which a view is inferted in that volume, at leaft of the principal parts of it. Suffice it, therefore, in this place, juft to obferve, that it confifts of a fmall vertical axis, with a long horizontal arm connected with it. A body of any form is fixed on the extremity of the arm; then a fine, but ftrong filken thread, or cord, is wound about the axis, with a given {mall weight at the end, which is paffed over a vertical pully, and left to defcend by its weight, and fo turning the axis, gives motion to the arm and body at the end of it. Hence it is evident, that a flow motion of the axis, or of the actuating weight, will give.a very quick motion to the refifting body at the end of the arm; this latter being to the former indeed, as the length of the arm, meafured to the centre of the body, is to the radius of the axis, which, in thefe experiments, was as 517 tol. 3. THE actuating weight would defcend continually with an accelerated velocity, were it not for the friction of the axis, and the refiftance of the air to the arm and the body placed at the end of it. But this refiftance always increafing with the velo- city, and indeed as the fquare of it, it muft needs happen, that, by the refiftance conftantly gaining on the velocity, this will foon arrive at its maximum, and after that proceed with a uniform motion, the refiftance neither gaining on the ve- locity, nor the velocity on the refiftance, but each mutyally balancing the other. As foon as this happens, then the ac- tuating To the SURFACES of BODIES. 31 tuating weight is the meafure of the refiftance of the air on the body and the arm, and of the friction of the axis. 4. Next, to find what part of the retardation is owing to the friction on the axis, and the refiftance of the air againft the arm, both the actuating weight and the refifting body were ta- ken off, and, inftead of the latter, a very thin bit of lead of the fame weight was put on; then various fmaller actuating weights were employed, till at laft fuch a one was found as gave to the machine the very fame degree of uniform motion as it had before, when the refifting body and the larger aQtuating weight were employed. Then, the degree of velocity being the fame in both cafes, the fmaller aCtuating weight will be the meafure of the fri@tion on the axis, and the refiftance of the air to the arm; both of which, however, were reduced to as: fmall a quantity as poflible, the former by means of friction- wheels, and the latter by being made thin and feather-edged. 5- SUBTRACTING now the lefs weight from the greater, the remainder is the meafure of the refiftance of the air againft the body alone; that is, when reduced for the different lengths of lever, namely, by diminifhing the remaining weight in the ra- tio of the length of the arm to the radius of the axis, meafured to the middle of the thread. Thus, then, we obtain a weight which is the meafure of ‘the refiftance of the air againft a given furface, moving with a given velocity ; that is, a weight which is equal to the preffure of the air againft the furface, or which, if it were laid upon and uniformly diffufed over the furface when it isa plane, would prefs the furface juft as much as the air does. 6. THEN, laftly, finding what altitude a column of air mutt have, which is of the weight of the aforefaid remaining weight reduced, and whofe bafe is the plane of the refifting furface ; it will be the altitude of the column of the fluid whofe weight - orpreflure is equal to the refiftance, and which preffure would : confequently generate the fame velocity in the fluid. 9. THE 32 On the RESISTANCE of the AIR 7. TuE body ufed to affix to the end of the arm, in the fol- lowing abftraét, was a hemifphere of pafteboard, the hollow part being covered with a flat circle of the fame, that either the round or the flat fide might be made to go foremoft againtft the air. The diameter of the hemifphere was 63 inches; and confequently the area of its great circle, or flat fide, was 32 fquare inches or 7 of a fquare foot, and it weighed 40z. 3 dr. avoirdupois. ‘The hemifphere being fixed on the end of the arm, with either fide foremoft, by a medium of feveral times, and different ways of meafuring, it was found, that the radius of the axis, including half the thicknefs of the thread, was 1.043 inches, and the length of the arm, meafured to the centre of the hemifphere, was 53.34 inches; fo that the two radii, namely of the path of the body and of the axis, are to each other as 53-34 to 1.043, or as 51.14 to 1: And therefore every experimented actuating weight muft be divided by 51.14 or 513, to reduce it to the equivalent weight acting at the centre of the hemifphere. 8. THE times of revolutions of the arm were counted by a peculiar pendulum clock, beating feconds, which was made for the purpofe. The method was thus: The clock being placed clofe by the machine, and the hemifphere and actuating weight fixed in their places, an affiftant held the hemifphere in a parti- cular fituation by his hand, while a fecond affiftant audibly counted the beats of the clock, beginning at 50 feconds, and counting on from I to 10, which confequently would end at 60 or o; and the inftant he pronounced ro, the firft affiftant let the hemifphere go. The confequence was, it began at firft to move very flowly, and gradually increafe for a fhort time, and then to move uniformly. The firft afliftant, keeping his ftation, called out at every time the body paffed him, in its re- volution, and the other affiftant called out the correfponding number of feconds and half feconds beat by the clock, which I inftantly wrote down with a pencil on a paper held in my hand, Yo the SURFACES of BODIES. 33 hand, previoufly ruled for that purpofe. And thus we could with eafe mark the precife time of every revolution. The num- ber of revolutions was ufually continued to about 35; and as the motion, with the hemifphere commonly became uniform after two or three revolutions, and with the lead only, after about 20 revolutions, I fubtraéted the time of the firft 25 revo- lutions from that of 35, and the remainder was the mean time of 10 revolutions ; and, confequently, dividing by 10 gave me the mean time of one revolution very correétly ; and thence, from the fpace of one circle or revolution, which is 27.93 feet, the velocity of the hemifphere per fecond of time. g- In this manner, then, by varying the actuating weight, by 1dr. or 2 dr. &%c. at a time, I obtained a long feries of cor- refponding times and velocities, both with the round and flat fide of the hemifphere foremoft, and with the equivalent lead only. After which I fubtra¢ted the numbers of this latter from the correfponding ones of thé two former, and the remainders, when divided by 51.14, gave the true meafure of the preffure of the air at the centre of the hemifphere. In the following table are feleéted only the velocities in whole numbers of feet, namely, of 3 feet per fecond, of 4 feet, of 5 feet, and fo on to that of 20 feet fer fecond of time, with the correfponding actuating weights in all the three cafes, name- ly the flat fide foremoft, the round fide foremoft, and without the hemifphere, with the lead only; namely, fuch actuating weights as were really experimented, and before dividing them by 51.14, to reduce them to the centre of the body. Vou. II. ¢ A B S- 34 On th RESISTANCE of the AIR ABSTRACT of VetociTizs and AcTUATING WEIGHTs. Diff. or true refiftances. Ratios. Flat. | Round. Weights with Velocity,} Flat | Round | Lead per fec. fide. | fide. only. OZ. OZ. 2.6 1.0 | 2.60 4.8 2.0| 2.40 3 4 Bi; |inalnai libs 75| 32| 2.35 7 8 12.8.| 6.7 | 2.0 || 10.8 4-7 | 2.30 6.4 2.30 21.9 |11.0 | 2.8 |} 19.1 8.2 | 2.33 3.3 || 24.3, 10.2] 2.38 IO 34.0 | 16.2 | 3.8 |] 30.2 124 2.44 II 41.0 |19.2 | 4.4 |] 36-6] 14.8 | 2.47 12 48.7 |22.6 | 5.1 || 43.6! 17.51 2.49 13, | 57+ 26.4 | 5.8 51.3 | 20.6] 2.49 14 66.2 | 30.6 | 6.5 || 59.7 | 24.1 | 2.48 15 76.0 |35-1 | 7.2 || 68.8) 27.9) 2.47 16 | 86.6. 40.0 | 7.9 || 78.7 | 32.1| 2.46 E7 l 98.2 |45-3 | 8.7 Il 89.5 | 36.6) 2.45 18 II1.0]/51.0 | 9.5 |xo1-5 | 41.51 2.45 1G [125.01 57-2 | 10.3 |) 114-7 | 46.9] 2.45 20 |140.0 | 64.0 | 11.0 | 129.0 | 53.0} 2.44 Here the firft column contains the velocity fer fecond; the fecond column contains the experimented actuating weight, with the flat fide foremoft ; the third column that for the round fide foremoft ; and the fourth column that for the lead only: Then the fifth column contains the difference between the fe- cond and fourth, or actuating weights for the flat fide and lead; and the fixth column the difference between the third and fourth, or aCtuating weights, for the round fide and lead only ; fo that the fifth and fixth columns, when divided by 513, will be the true meafure of the refiftance of the air to each fide of the . To the SURFACES of BODIES. 35 the hemifphere, moving with the correfponding velocity on the fame line of the firft column ; and in the laft column are con- tained the ratios of thefe two refiftances, or how often each refiftance of the round fide is contained in that on the flat fide of the hemifphere. to. From a flight contemplation of the laft three columns of this table, we may eafily draw feveral important confequences. As, fir#, From the fifth and fixth columns, it appears, that the refiftance to either furface, with different velocities, is always as the fquare of the velocity, as near as fuch experiments can be expected to fhow. Tuus, in the fifth column, taking the refiftances Easeebioad: ing to the velocities of 4 feet and 8 feet, which are as 1 to 2, and their {quares as 1 to 43 the refiftances 4.8 to 19.1 are as I to 4 very nearly; and the refiftances in the fixth column, namely, 2 to 8.2, are alfo nearly in the fame ratio. And fo of others. 11. 2d/y, From the laft column, it appears, that the refiftance to the flat fide is to that on the round fide, on an average, nearly as 2.45 to 1, or 2$ to I nearly, if a medium be taken among all the numbers in the laft column. But, by the theory of the refiftance of fluids, we are led to expect, that this ratio would have been only that of 2 to 1, inftead of 24 to 1, as by the experiment. Now, what this difference is owing to, may be at prefent difficult to determine with precifion. The greater part of it may probably arife from the air differing in its na- ture from the perfect fluid which the theory contemplates ; but fome {mall part of it may arife from the different figure of the hinder parts of the hemifphere, though I hardly fufpe@ that this may caufe any fenfible difference. I intend, however, foon to try whether it be fenfible to experiments ; in which I intend to employ a cylinder, to compare with the flat fide foremoft of the hemifphere, and a whole fphere, each of the fame diameter, to compare with the round fide foremoft of the hemifphere. I €.2 propofe 36 On the RESISTANCE of the AIR, &e. propofe alfo, at the fame time, to try the refiftance of fome other figures. 12. 3dly, From any of the numbers in the fixth column, it appears, that the altitude of a column of air, whofe preffure is equal to the refiftance on the round fide of the hemifphere, is half the altitude due to the velocity of the figure; that is, half the altitude from which a body mutt freely fall by gravity to acquire that velocity ; and, in this inftance, agreeing with the theory. Thus, if we take the velocity of 10 feet per fecond, whofe refiftance in the fixth column is 12.4, we fhall have as 327: 107::16:*¢f =1.56 feet, which is the altitude due to to the velocity ro, and the half altitude is .78; but the weight is 12.4 ounces, which being divided by 51.14, to reduce it from the axis to the centre of the body, gives .2411 oz. for the true refiftance to the convex fide. Now, a cubic foot of air weighs 1} 0z. 3 therefore, as 1}: .2411:: 1.1929, whichis the bulk of the column of air whofe weight is equal to the refiftance, which being divided by } of a foot, the area of the bafe, we have .86 feet for the altitude of that column, and which, therefore, is nearly equal to the half altitude above found for the velocity, exceeding it only by about the 13th or 14th part. 13. 4tbly, Bur, from the fifth column, it appears, that the altitude of the column of air, whofe preffure is equal to the re- fiftance on the flat fide of the hemifphere, is to the altitude due to the velocity of the body, as 2 to 2, inftead of being equal, as required by the theory. VIL. VIL OsservaTions of the Places of the GEORGIAN PLANET, made at Edinburgh with an Equatoreal Inftrument. By foun Rosison, A.M. F.R.S. Epin. and Profeffor of Natural Philofophy in the Univerfity of Edinburgh. [Read by the Author, March 7. 1787.) M. T. Edin. Apt. Lon. Plan. Er.theor. Apt. lat.N. Compar. ou cham oles role Nie hia wee " Bi toed tod 1787. Jan. 12. 06. 39. 24 3. 23. 35.17 +8 —.32. 20 4 15: 06. 05. II 3. 23-27:44 —7 —.32. 20 3 17. 06, 13. 16 3»23.22. 27 +5 —.32.19 2 18. 06. 05. 33 3- 23-19. 42 +2 —.32. 21 2 20. 06. 23. 04 3. 23.14. 24 +7 —.32.17 4 Hence it may be deduced, (by following the method de- fcribed in a paper.formerly read to this Society*) that the planet was in oppofition January 13%. 04°. 56° M. T. Greenwich, in longitude, 3°. 23°. 32’. 24” from the mean equinox, with —°. 30. 38” north heliocentric latitude. Tue error of the theory in longitude is nearly +5”, and in latitude nearly —18”. IT arTriBurTE this error in latitude to the different manner in which I obferved the declinations. I formerly obferved the difference of declination between the planet and fixed ftar by means of a common micrometer. But | was obliged to fubfti- tute Dr BRADLEY’s rhombus for my micrometer, which had re- ceived an injury which I could not get repaired in time. If this be allowed, the error in longitude will be diminifhed nearly 2”. My telefcope has an achromatic object glafs of 44 inches focal diftance, magnifies 194 times, and takes in a diftin& field of De * Tranfactions of the Royal Society of Edin. Vol. I. N° XI. Phyf. Cl. ; 38 OBSERVATIONS of the Places, &c. 92’. The planet was always compared with at leaft two ftars, which paffed through the field without altering the pofition of the inftrument. The interval between the tranfits of the fixed ftars, compared with their difference in right afcenfion in the tables, fhows the error of the pofition of the horary wire; and the planet’s difference in declination fhows what portion of this error is to be applied to the time of its tranfit. When the pofi- tion of the horary wire was very oblique to the horizon, and the altitudes fmall, a correction was made for the difference in refraction. Boru ends of the polar axis were firmly fupported in a ftone wall. The telefcope turned round on a pin within two inches of the upper pivot of the axis, and clofe by the object glafs. The other end of the telefcope was fupported (at the place of the wires) by a ftiff rod, which turned round a pin within two inches of the lower end of the polar axis; fo that the telefcope, axis and this rod, formed a triangle. Another {tiff rod was faftened to the telefcope at the place of the wires, with a double joint, and its other end paffed through a focket, firmly fixed on the fide of the window, where it was held faft by a fcrew-pin. The rod was in a plane, nearly parallel to the equator. It is eafy to fee that, by this conftruction, each part of the inftrument was expofed to a longitudinal ftrain alone, and all effects of the tremor of its parts were avoided. It was fo completely free from any inconvenience of this kind, that, even in very boifterous winds, the image of the ftar was per- fe@tly fteady, and free from every kind of quivering. I never found any two comparifons of the planet with the fame pair of {tars differ above half a fecond in time. As the inftrument was fo exaét, and did not (exclufive of the telefcope) coft above three pounds, I thought that this fhort account of it would be acceptable to fuch as are not provided with thofe expenfive in- ftruments which are thought effentially neceffary for making good and ufeful obfervations. Vil. VII. ANsweERs to the Objeétions of M. DE Luc with regard to the THEORY of Rain. By J4MEs HuttoN,M.D. F.R.S. Epin. and Member of the Royal Academy of Agri- culture at Paris. [Read by the Author, Dec. 3. 1787. ],. De Luc, in his Idées fur la Meétéorologie, has made e fome objections to the Theory of Rain * which I had the honour to lay before this Society. I fhall now endeavour to anfwer thefe objections; and hope the Society will forgive me for taking up a little of their time and attention with this fubje&t. The reputation of M. pe Luc is fo well eftablifhed in the republic of letters, that I muft. not neglect remarks which have the fanction of fuch authority ; although, in the prefent cafe, they appear to me to have come from a judge who was too: much preoccupied with a different fyftem. THE queftion between us, according to M. pe Luc’s own. ftatement, is this, Whether or not, when two mafles of air of different temperatures are mixed together, the humidity of the new mafs is greater than the mean between the humidities which the two mafles had feparately? This I maintain to be a phyfical truth, and M. pe Luc refufes to admit it as a rule in nature. I nap eftablifhed this. propofition, That, upon the fuppofition of the evaporating power increafing with heat, but increafing at a greater rate, the mixture of two portions of air, of different temperatures and fufficiently faturated with humidity, would produce a condenfation of water which might then become vi- fible:. * Tranfactions of the Royal Society of Edin. Vol. I. N° IL. Phyf. Cl. 4° ANSWERS to the OBFECTIONS fible. I then fay, That this cafe properly applies to the pheno- mena of breath and fteam, which give a vifible condenfation in mixing with the colder atmofphere ; and it explains the various appearances that may occur in mixing together feveral portions of air more or lefs faturated with humidity, and in different temperatures of heat and cold. For, Ir is not every mixture of the atmofpheric fluid, in different temperatures, that fhould, according to the theory, form a vifi- ble condenfation ; this effe€t requiring, in that atmofphere, a fufficient degree of faturation with humidity. Neither is it ne- ceflary for this effect, that the two portions to be mixed fhould each be faturated with humidity up to the temperature in which it then is found ; it is fufficient, that the difference in the temperatures of thofe portions to be mixed fhould more than compenfate the defect in point of faturation; but if a mixture fhall be made of two portions of the atmofphere, both fully fa- turated with humidity, then, however fmall may be the differ- ence of their temperatures, there is reafon to believe, that a condenfation proportionate to this difference will take place. Here it is to be obferved, that I have made the rule abfo- lute, or generalized the propofition to every fuppofable cafe ; while, at the fame time, I appealed to familiar examples in two cafes, that is, of humid atmofphere and of pure fteam, in gi- ving the breath of animals in the one cafe, and the fteam of a boiling kettle in the other. Tue propofition being thus made perfectly general, and con- cluded from experience to be a law of-nature, M. pg Luc has endeavoured to refute this phyfical principle, by attempting to explain, in another manner, the natural appearances upon which it has been founded. It fhall now be my bufinefs to fhow, that this explanation which M. pr Luc has endeavoured to give of the fubjet, is founded upon nothing but inadverten- cy or mifapprehenfion. HE i es See eriiceeres = ie Of M. DE LUC. . 41 He fays, (parag. 585.) “ Je me fuis point furpris que le Dr Hutton ait été frappé de ce que ia refpiration des ani- “ maux produit un brouillard dans lair, lorfqwil eft humide ou “ froid; j’en ai été frappé auffi, comme d’un phénomene qui ne s’explique pas par les loix ordinaires de |’évaporation : * mais il m’a paru, en méme tems, qu'il étoit d’une toute autre “ claffe ; qu'il n’appartenoit pas 4 ’hygrologie, mais 4 la phy- fiologie ; en un mot, que les vapeurs qui s’y manifeftent, ne procédent pas de l’évaporation d’une eau contenue dans les poumons. Ceci étant lié 4 quelques idées fur la nature des caufes de la pluie, j’en renvoie le dévelopement 4 une autre lieu, parce qu’il formeroit ici une trop longue digreffion, et que d’ailleurs, fi j’examine les faits rapportés par le Dr Hut- TON, ce n’eft que relativement 4 hypothéfe fondamentale elle méme, et non 4 fes conféquences dans la Théorie de la Pluie; puifqu’on a vu, que cette hypothéfe pourroit étre ad- “mife, fans que la pluie pit en étre la confequence, vu /’état ordinaire de lair.” As in this paragraph is contained all the objection that M. DE Luc, fo far as I can perceive, is able to make again{t the Theory of Rain, it will be proper to examine it particularly, and di- vide it into the two different propofitions which it contains. Thefe are, ff, a denial of the general principle, with regard to the condenfation of humidity in the atmofphere; as not be- ing a true principle, or properly founded ; and, 2d/y, a refufal of the application of that general principle, fuppofing it true, to the theory of rain. Of thefe, then, in their order. With regard to the firf, M. pe Luc admits all that I could poffibly propofe to draw from this example, viz. That moitft air, breathed from the lungs of an animal into the colder at- mofphere, produces a condenfation of water, in proportion to the faturation of the atmofphere with humidity, and alfo to its degree of cold below the heat of the breath; for he acknow- Vo.t- Il. ‘a ledges, 42 ANSWERS to the OBFECTIONS ledges, that he had alfo been {truck with that appearance, which he thought inexplicable by the ordinary laws of evaporation and condenfation. But, fays he, it is not to be admitted as a fact to prove the fuppofed propofition. Why? Becaufe it does not belong to hygrology, but to phyfiology. I sHoucp have been at a lofs what to have replied to this ob- jection, had not M. pe Luc, in fome meafure, explained him- felf in the next fentence; where he fays, that the vapours which are manifefted in this cafe, do not proceed from the eva- poration of water contained in the lungs. Here, then, it is evident, that M. pe Luc leaves the fubject in hand, the conden- fation of the breath, to enquire after the caufe of its humi- dity. But whatever be the caufe of this aqueous vapour in the breath, there is certainly no queftion about its. effect; that is, the humidity of the warm expired air, which is to be mixed . with the atmofphere, and there to produce mift. I do not, there- fore, fee how any argument can be founded upon this fuppofed operation of the lungs, whatever it be, any more than upon. that of the heart, the liver or the kidneys. In our meteorolo- gical enquiry, we furely are no ways concerned about the com- pofition or decompofition of water; a fubject of chemical en- quiry : We only want to explain the condenfation of that hu- midity which is on all hands allowed te be in the breath. Tue queftion which, in. this cafe, fhould, according to the rules of fcience, have been either acknowledged or denied, was this, Does the moift air, expired in breathing, form a condenfa- tion of water, in being mixed with cooler air fufficiently fatu- rated with humidity? M. pe Luc has evaded making any di- rect anfwer to that queftion, in propofing to develope the fub- je@t upon fome other occafion. This may have fuited the con- veniency of our author, who was bufy in forming a meteoro- logical theory very different from. that which I had propofed ; but he had undertaken to difprove my propofition, with regard to the condenfation of vapour ; and this vifible condenfation of the ese a aoe Of M. DE LUC. 43 the breath is the natural phenomenon which is to be explained, or the fcientific experiment by which the theory which M. DE Luc refufes, is approved. Ir may be proper here to obferve, that I only confider the diffolving power of air with refpeét to water, in order to con- traft it with the precipitation of the diffolved fubftance, when the action or effeét of heat has been diminifhed according to the theory. It no ways concerns my propofition, whether it is upon the principle of diffolution or fimple expanfion by heat, -that the aqueous vapour is retained in the air, or preferved in a tranfparent ftate. The expreflion of diffolution beft anfwer- ed my purpofe, where the faturation of the atmofphere with humidity was to be expreffed ; therefore I retained it, although I had declared in this Society, when my firft paper was read and converfed upon, that I did not mean in the leaft to enter into that queftion which Profeflor Rogisow then put. In like manner, it is abfolutely indifferent to the theory, whether the infpired air or breath acquires its humidity by evaporation, dif- folution, or chemical refolution and compofition: Therefore, if this negation, with regard to the origin of water, be intended by M. ve Luc as an objection to my propofition, which I think has no relation with that fubje&t, it would be proper he fhould fhow in what refpect that argument of his affects the condenfation of the water contained in the breath, when that breath is mixed with another portion of air. I now proceed to the /econd propofition of M. pe Luc, which is, That, fuppofing my hypothefis admitted, it does not follow that rain happens in confequence of this caufe; the or- dinary ftate of the atmofphere being, as he alleges, too dry to admit of this effect. Now, this may be a very good reafon why it fhould not always rain, or fhould noc rain in that parti- cular ftate of the atmofphere which is moft ordinary; but I believe it will be difficult to perfuade thofe who admit of the hypothefis, that they fhould not apply this principle in the cafe Sf 2 of 44 ANSWERS to th OB¥ECTIONS of rain, which furely does not happen in the moft ordinary ftate of the atmofphere, at leaft not in moft countries, thofe particularly in which M. pe Luc has made his meteorological obfervations. Havine thus difcuffed the cafe of humid air or natural va- pour, M. pe Luc next proceeds to confider the cafe of fteam, or pure vapour, as he calls it. Here he fays, that the mift formed above water boiling in the open air, may be explained upon another principle than that of the hypothefis from whence I had concluded that it-fhould be fo. It will be proper to give his reafoning upon the fubje&: “ La vapeur de l’eau bouillante (/feam) eft pure, parce “* gu’au degré de chaleur de cette eau, les vapeurs font toujours “* capable de fupporter feules la preffion de latmofphére. Des vapeurs prefque pures, forment les bulles qui traverfent fans ceffe l’eau bouillante ; et ces bouffées de fluide élaftique tranf- “'parent, deplacent l’air en fe dégageant de l'eau. Si ces va- “ peurs fe répandent dans un éfpace qui n’ait qu'une petite “ iflue 4 Poppofite de leur entrée, en amenant cet efpace a leur température, elles en chaffent tout lair, et y demeurent tran{f- parentes ; mais des qu’elles l’ont dépaffé, et qu’elles fe repan- dent dans lair exterieur, leur courant s’y décompofe bientot : car dés la premiere perte fenfible qu’elles éprouvent dans le degré de chaleur auquel eft attachée leur exiftence, ne pou- vant plus fupporter la preffion de l’atmofphere, elles fe tranf- forment en un brouillard, qui fe méle a l’air environnant.”’ Here M. pe Luc confiders the tran{parent fteam, when co- ming in contact with the colder atmofphere, as cooled by the air, without noticing, that it proportionably heats that air by which it is cooled. This overfight in another perfon but M. DE Luc, might have been natural; it might even in M. DE Luc himfelf have been more excufable, had he been lefs converfant with the important theory of latent heat which Dr Brack dif- covered «e ce “ce ce ec ce “ ac “cc co ee Of M. DE LUG. 45 covered long ago. But firft to confine our attention to the cooling of the fteam, and then to explain the appearance of condenfation from this cooling alone, is a fpecies of reafoning that one would not have expected from the author of the Mo- difications of the Atmofphere. THE queftion is not, if a body of fteam, in the 212th de- gree of heat, mixed with a body of air, in the ordinary tempe- rature of the atmofphere, fhould preferve its degree of heat, that is to fay, fhould be cooled or not; the queftion is, If the mean heat of this mixed mafs be fufficient to preferve all the humidity im a tranfparent ftate; or, If there fhall be formed a condenfation of vifible mift, in this cafe as well as in the other, where moift and warm air was mixed with the atmofphere? Had no condenfation in this experiment been formed, the prin- ciple of condenfation, confequently of evaporation, could not have been extended to the cafe of fteam, or the rule of evapo- ration would not have been abfolute, as comprehending both the cafe of the atmofphere and that of water by itfelf; but the condenfation actually taking place in the experiment, genera- lizes this law of nature with refpect to every poflible combina- tion of water, air and heat. This condenfation does not hap- pen in confequence of the fteam being expofed to any preffure which it had not fuftained before, but becaufe the heat of the mixed mafs, which is the medium between the heats of the two mafles, is not fufficient to preferve all the water in the ftate of vapour; and this is precifely what, according to the theory, the experiment is meant to prove. But M. pe Luc, though he has had recourfe to the cooling of the fteam alone, to account for the mift which inftantly ap- pears upon the mixing of the fteam and air, does not lofe fight of the heat which he knows is not loft; but he brings it into action again, for the evaporation of that mift which has ap- peared. It is neceflary to give his reafoning in relation to that fubject. ‘‘ Cependant ces vapeurs décompofées ont augmenté 6s la 46 ANSWERS to the OBFECTIONS la chaleur de I’air, et bient6t par-la ‘elles y fubiffent une nouvelle évaporation, qui les fait difparoitre de nouveau. Ainfi ce phénoméne rentre dans le cas général, d’une preci- pitation momentanée, fuivie d’une nouvelle évaporation, “quand des vapeurs, ou pures, ou mélées a J’air, viennent 4 dépafler leur maximum, par V’a€tion d’un air moins chaud qu’elles; fi du moins leur production n’eft pas aflez rapide, pour furmonter la caufe de nouvelle évaporation qui nait en méme tems de la nouvelle chaleur acquife par cet air.” Tue fubje& at prefent under confideration is the evaporation of that vifible mift which is formed by the mixture of the {team and air; and it is to be obferved, that the general law of evaporation which M. pe Luc attacks, has been inveftigated by means of the vifible condenfation of water which had been evaporated. M. pz Luc would make it appear, that, upon this occafion of {team mixed with air, the vifible condenfation in the atmofphere was not formed according to the rule which here is generalized ; becaufe, fays he, that water is again eva- porated by means of the heat which the fteam had communi- cated to the air. : Bur this explanation which M. pz Luc has offered to ac- count for the evaporation again of the vifible mift, appears to be inconfiftent with his theory refpecting the condenfation of the fteam. For, if the condenfation of the iteam be the effect of its being cooled by the air, while the air is neceflarily heated, by it, How could the former ftate of things be reftored without an affignable reafon, or any known caufe? that is to fay, How could the air reftore to the water that heat which it had re- ceived by communicating with the fteam? or, How could the condenfed {team receive from the air any heat, or rob it of that portion of heat which it had before imparted, and which is now neceflarily required for its evaporation? Here, furely, would be an effect without a caufe, or a caufe producing two oppofite effects. “ But t ee ee, ee ——_ Of MODE BUC. 47 Bur though not in -confequence of his theory, M. pE Luc feems to adduce that explanation in confirmation of it. Now, if this explanation fhould be admitted, it might tend to confirm his fuppofition, that the fteam had been condenfed, not by the medium temperature of the mixed air and vapour, as I con- tend, but by the air abftracting the heat of the fteam, without mixing with that fteam. It is, therefore, neceffary, that I fhould anfwer that fuppofition with regard to the evaporation of the mift. But it requires ftrié attention to many circum- ftances, in order to fee, in a juft light, that atmofpheric’ opera- tion, which had led a natural philofopher to make a fuppofition of that kind. StTeAM, before it canbe condenfed into water, muft communi- cate or transfer its latent heat (equal to goo° more than the heat of boiling water) to-the body by which it is cooled or condenfed ; confequently, if the diflolving or evaporating power of heat proceeded uniformly with its diftending power or fenfible heat, the mixed mafs of air and {team fhould {till remain tranfparent, without producing mift or condenfation. For the fteam lofes no heat but what the air gains ; it is in: the conta&t of thofe two fluids that this cooling happens ; and it is in this place pre- cifely that the condenfation is produced. But there would be no condenfation, if water could be retained tranfparent, elaftic or diffolved, in the medium heat which is produced at the con- tact of thofe two bodies. Therefore, the condenfation, which actually happens, proves this phyfical truth, that when a: mafs of fteam is mixed with a particular mafs of the atmofphere, or with a certain portion of the atmofpherie fluid, the humidity of the new mafs is greater than the mean between the humidi- _ ties which the two united maffes had feparately. I MIGHT now content myfelf with this obfervation, That it is only with the produétion of mift or vifible vapour that my propofition is concerned, and not with the diffolution of that mift again, when it comes to be mixed with another portion of ; the 48 ANSWERS to the OBFECTIONS the atmofphere which is not faturated with humidity. But I have to fhow, that M. pe Luc has not reafoned accurately in explaining the reaflumption of the vifible mift into the tranfpa- rent atmofphere. For, though this fact has no immediate con- nection with the queftion in difpute, the condenfation of va- pour ; yet it might be brought in to affect that queftion, by a fort of reafoning, which, though not fcientific, would be {pecious. THE mitt or vifible vapour, according to that reafoning of our author, is evaporated by the heated air: Therefore, that vapour ought not tohave beencondenfed; but it was condenfed; therefore it muft have been condenfed upon fome other principle than that which I have alleged is general to all evaporation and conden- fation of humidity. Thus, M. pr Luc would, in effect, though not in terms, make this condenfation to be no conden- fation, or not the condenfation in queftion, becaufe it is not permanent. It is evident, however, that this precipitation of the evaporated water is permanent, fo long as the conditions of its condenfation are continued or remain. But in this cafe of {team emitted into the open air, thofe conditions of conden- fation cannot continue ; they muft be changed, and the con- denfed vapour muft be again evaporated, fo foon as it meets with a fufficient quantity of air under-faturated with humidity. Therefore, M. pe Luc has endeavoured to explain the evapora- tion of the vifible mift in this cafe, upon a falfe principle, by not taking into confideration the quantity of under-faturated air, which the afcending vapour meets with in the atmo- {phere. Tuus, whether we ‘confider the explanation which M. De Luc has endeavoured to give, of the condenfation of mift in the cafe of fteam mixed with a body of air, or of the evapo- ration of that mift again when rifing in the atmofphere, there appears to be no folid reafon for his objection to the theory ; and I muft be allowed to maintain, that here alfo, in the cafe of pure vapour, or fteam mixed with a portion of the atmo- {phere, Of M. DE LUC. 49 fphere, the rule is abfolute, or the aflumed principle with regard to the particular modification of the law of heat, is perfectly confirmed, at the fame time that it is generalized, in being ap- plied to every {pecies of vapour and atmofpheric mixture. I CONSIDERED the two examples of breath and fteam as fuf- ficient to confirm the principle with regard to aqueous conden- fation and evaporation, feeing that they comprehended every pof- fible cafe, fo far at leaft as the theory was concerned. But, in ‘ thofe examples, the appearance was only that of mift, or vifible condenfed vapour, which correfponded to cloud, and not im- mediately to rain. I therefore thought it neceflary, in order to overcome the ordinary prejudices of mankind, to give an ex- ample feemingly more in point, although perhaps fuperfluous, as it follows fo plainly from the principle. There is, however, fomething fo convincing in the appearance, when a fhower of rain is formed artificially in a chamber of experiment, that even'a philofopher finds himfelf better fatisfied, after feeing the fa@, than by many arguments, by which all the fteps of the operation might be explained, and every effect foretold: I therefore gave two examples of this fort, which had come to my knowledge. It is concerning thefe that we are now to exa- mine what M. pe Luc has faid, (parag. 587.) * Le feul des phénoménes cités par le Dr Hurron, qui ait “ un rapport immediat avec fa théorie, eft la précipitation nei- “ geufe des vapeurs répandues dans l’air chaud d’une chambre, “ lorfque cet air vient 4 communiquer a un air exterieur trés- “ froid. Mais la preuve qui femble en réfulter en faveur de “ cette théorie, n’eft qu’apparente ; car il n’y a pas lieu de pré- “ fumer, que les vapeurs fuffent a leur maximum dans Vair ex- ** terieur, ni a Tornea, ni a Peterfburg: circonftance qui nean- “ moins feroit néceflaire pour produire une precipitation d’eau “ dapres Vhypothéfe ; 4 moins qu’on ne fupposat encore, que “ quoique les vapeurs ne foient pas 4 leur maximum dans deux airs qui fe mélent, elles peuvent le dépaffer fenfiblement dans Vox. II. L file iT 50 ANSWERS to th OBFECTIONS “le mélange ; ce qui exigeroit toujours plus des expériences di- “*. reétes.”” We have already feen how M. pe Luc has endeavoured to explain the phenomenon, or rather to elude the queftion, when the breath which is expired into the atmofphere is vifibly con- denfed; but furely that was a phenomenon which had an im- mediate relation to the theory. Therefore M. pr Luc is by’ no means warranted in faying, that this one, which he is now examining, is the only phenomenon of thofe cited by me which has an immediate relation to the theory; for, as the experiment of the breath exhibits the formation of cloud, and as cloud is generally confidered as the immediate caufe of rain, the formation of cloud without rain, in our experiments, is as immediately related to the theory, as the formation of raim without cloud. We are now'to fee how M. pz Luc has endea- voured to elude the force of this example of the formation of rain. Tue reafon here given by our author, why the proof, refult- ing from thefe examples of actual rain, is not real, but only apparent, is this, Becaufe, fays he, there is reafon to prefume,. that the external air in thofe two cafes. was not fully faturated with humidity or vapour. Now, for that very reafon, | fay, circumftances were juft fo much the more unfavourable for condenfation ; confequently, if condenfation a¢tually takes place in this unfavourable cafe, @ fortiori it muft be allowed in others where circumftances may be more favourable for that operation. Ivis therefore evidently my intereft, fo far to al- low M. ve Luc his fuppofition with regard to the ftate of the external air. But how that ihould require more proof, or more direct proof, on my part, I am at a lofs:to conceive ; as I think that | have, on that very account, good) reafon to demand of M. ve Luc better arguments, or more direct proof, againft the theory. M. pe Luc, indeed, gives a reafon for this demand of his, in.the next fentence ;. but it is a: very, different one from that Of M. DE LUG. St that which he had already given. It is this, “ Car d’ailleurs, ** Jes phénoménes dont il s’agit peuvent sexpliquer fans avoir “ recours a cette hypothéfe.” Here, indeed, is a very good reafon for objecting to the application of thofe experimental cafes ; and now we are to examine this explanation which M. pe Luc is to give of the phenomenon. He fays, “‘ La mafle (comparativement fort petite) de l’air de la chambre, perdoit trés-promptement une quantité fenfible . de fa chaleur par l’ouverture qu’on y faifoit, fans que l’air * extérieure fe réchauffat fenfiblement a cette ouverture, auprés de laquelle lair qui commencoit 4 s’échauffer, faifoit bientot place a de lair froid, en s’élevant. Les vapeurs chaudes de- voient donc fe précipiter en brouillard dans la chambre ; par- ** ceque l’air exterieur n’en recevoit prefque point.” Tue explanation which M. pe Luc has here attempted, either is not conceived with that diftinétnefs of idea which is required for inveftigating the laws of nature, or is not expref- fed in fuch precife terms as might make it eafy to bring his propofition to a fcientific iffue, in applying principles. Let us, however, endeavour to follow the argument of our author through the obfcurity in which it is involved. M. ve Luc fays, that the air of the chamber would quickly lofe a fenfible quantity of its heat, without the external air being fenfibly heated at this opening. Does he mean, that the air of the chamber would fuffer any lofs of its heat upon this occa- fion, befides what happened by the interchanging of the ex- ternal and internal air? Such a fuppofition as that might truly form the foundation of an argument; but this, it is found, will not conform to the laws of hydroftatics. He, therefore, mutt be obliged to fuffer fome of the heated air to efcape, and its place to be fupplied with the cold air which comes in. Things being in this ftate, our author fays, that the warm va- pours ought to precipitate, in forming mift in the chamber, be- caufe the external air receives fcarce any of them. This evi- g 2 dently “ 4 ” “” nw “ o a . 52 ANSWERS to th OBFECTIONS dently is to have again recourfe to the fallacious argument, al+ ready difcufled, of a cold body cooling a warm body, without being warmed ; and it is to fuppofe a fhower of fnow produced in the warm air of the chamber, by the introduétion of cold air, without that cold air mixing with the warm. But how is one body of air fuddenly to cool another body of air, without their mixing together? At leaft, it is as natural for thofe two bodies to be mixed together as to form a medium temperature ; and if M. pe Luc is to found an argument upon any of thofe events not happening in that manner, he fhould point out fome other reafon for his fuppofing that they do not mix, than that of their forming a condenfation of humidity; an event which fhould happen, according to the principle we have en- deavoured to eftablifh; a principle which M. pe Luc would perfuade us to believe to be without foundation. Our author then forms the fuppofition of another ftate of the cafe, in order, no doubt, to put things in a clearer light;. but, without more accurately attending to the circumftances of the cafe than he has done, it has no other effect, in my opinion, than to perplex the fubje€&t more and more. He fays, “ Si au. “ lieu d’une fimple ouverture a la chambre, fes parois euflent ‘© été enlevés, et que la maffe de fon air eiit été ainfi en conta tout le tour avec l’air exterieur, il s’y feroit auffi formé un. “ nuage; mais alors il auroit bientot difparu en s’évaporant, “ comme celui de l’eau bouillante difparoit dans lair qui len- n wn “ yvironne.” Here M. pe Luc does not feem to be fenfible that he is only defcribing what fhould actually happen according to the theory.. But he had juft now given us to underftand, that he was to ex- plain the formation of fnow or rain, in this cafe, upon fome other principle than that of the propofition which has been now fo fully confidered. How far he has performed that un- dertaking, I would willingly leave to be decided by thofe who maay be more impartial judges in this cafe. But left it fhould be Of M. DE LUC. 53 be thought that I omit to anfwer any thing which M. pe Luc may propofe in relation to this fubject, I fhall now examine this laft ftatement which he has given of the cafe, and endea- vour to fhow, that every thing which he fuppofes to appear, fhould truly happen according to the propofition which he has been pleafed to queftion or deny. In fuppofing the cafe of a body of warm and humid air en- vironed by the cold atmofphere, M. pE Luc does not here mention what degree of faturation or humidity he fuppofes in the external air. Now, upon this will very much depend the confequences of mixing the fmall portion of humid air with an indefinite portion of the furrounding atmofphere. If we fuppofe, as, from other parts of his writing, M. pe Luc in- clines to do, that the atmofphere is not fully faturated, then all the appearances muft follow which he has fuppofed ; that is to fay, that there is firft to be a viftble condenfation in the mix- ture of the two airs; but as this compound mafs, or warmed air, mixes with the colder, by rifing and difperfing in the at- mofphere, the condenfed humidity is at laft to be totally evapo- rated or diffolved in the quantity of air which is not faturated with vapour. LET us now again fuppofe the furrounding atmofphere to be fully faturated or impregnated with humidity, then, in mixing with it the warm humid air of the chamber, there is reafon to: conclude, that the condenfation of humidity would remain permanent, although it might not remain vifible, if in fmall quantity and greatly difperfed in. the atmofphere. But this will: require fome explanation. . AccorDINc to the principle affumed in my propofition, it- is equal. portions of the unequally heated airs, that, upon mix- ture, fhould produce the greateft condenfation of humidity ;- and that, in proportion as a very {mall quantity of one or other is employed, that is to fay, in proportion to the inequality of the mixed. bodies, the fmaller quantity of condenfation will be 54 ANSWERS to th OB¥ECTIONS be produced. Now, the mixture, whether of fteam or moift air, with the open atmofphere, in uniting with fo much air, muft foon be brought to the moft extreme cafe of this kind, that is, to the greateft inequality of the mixed bodies, and to the fmal- left quantity of condenfed vapour. Neverthelefs, according to the rigour of the rule, no portion of warm faturated air can be mixed with cold air in the fame faturated ftate, without there being produced a certain quantity of condenfation, which will then remain permanent, fo long as the proper conditions are preferved. In like manner, as two faturated folutions of a faline fubitance, e.g. of nitre, in different temperatures with regard to heat, when mixed and preferved in the fame tempera- ‘ture, precipitate a quantity of falt, which is never reaffumed ‘by the water, unlefs the heat of that fluid be increafed above the medium temperature which the mixture had produced. This laft is a definite and a practicable’ experiment; the other, with the atmofphere, is an indefinite experiment which cannot be made. And I am furprifed that M. pe Luc fhould not have feen the fubject in the proper light. In this cafe of warm and humid air mixing with the colder atmofphere, as for example, the vapours coming out from the vent of a malt-kiln, it is evident to obfervation, that the mift which is delivered into the air difappears only in proportion as it is difperfed in the atmofphere, that is to fay, as it meets with unfaturated air by which it may be diflolved. Now, this diffo- lution is proved by fome other obfervations, which it is ex- tremely eafy to make. Thefe are, firf, that, ceteris paribus, it re- quires very little difperfion of the mift or vifible vapours in the atmofphere, in order that they may be diffolved when the air is dry ; and that, on the contrary, when it is moift, the vapour continues vifible long after it is fo difperfed. 2d/y, That it re- uires a lefs difference in the temperatures of the two mixed airs to produce a vifible mift, when the atmofphere is moift than when it is more dry. So far, therefore, as this experiment is Of M. DE LUG. 55 is practicable, I think we may be allowed to fay that natural appearances confirm our theory. Lonc before writing the Theory of Rain which is now in queftion, | had afcertained the diffolution of nitre in water, to: proceed, not uniformly with the heat, but in a rate that was' increafing. I had alfo accurately meafured feveral of the ordi- nates of the curve which this progrefs formed, by carefully evaporating folutions faturated in different degrees of heat ; and I had once fome thoughts of corroborating the propofition, with regard to the rule of vapour by the meafured curve, with regard to the folution of nitre. But as fuch analogical reafon- ing in phyfics is only proper to lead to conjecture ; and as, in the cafe of vapour, we find the moft dire& proof that the rule is to'increafe at a growing rate with the heat, I gave nothing in my paper but what was neceffary to afcertain the principle fo far inveftigated. M. pe Luc has indeed difputed it; but any perfon who has read his later publications, will hardly expect, that, with his meteorological ideas, our author fhould, on this: occafion, be altogether free of partiality. Havine thus anfwered’ every objection which M. pz Luc has made, it may be proper farther to obferve, that it was not for want of other examples to eftablih the principle of heat and evaporation, that I-confined myfelf to thofe which: M. ve Luc has now difputed. I confidered them as all un- exceptionable, and as perfectly in point. I therefore thought them fufficient to eftablifh the truth of the propofition which had been affumed. I might have referred tothe mift formed in a fummer evening upon meadows heated by the fun during the day, and evaporating humidity when the air grows cool; _ as alfo, to the vifible fmoak, in the winter feafon, from the furface of water, a degree or two’ only above the freezing * point, when the atmofphere upon that furface is about 15° colder. Inlike manner, I might have cited the experiments wherein: 56 ANSWERS to the OBFECTIONS wherein condenfation of vapour is formed, by mixing the at- mofpheric air with that which had been rarefied, or by emitting into the atmofphere air which had been condenfed. In all thofe cafes, there is the mixture of two portions of the atmo- fphere, in fufficiently different temperatures, to produce con- denfation of humidity, which actually happens. Thus, all thofe appearances are properly explained .by the theory, or, as experiments, they confirm the aflumed propofition. Bur if thus every particular example is a proof, and if each example is unexceptionable in its kind, what degree of evidence mutt arife from the united teftimony of every poflible experi- ment almoft which can be adduced in relation to the fubjet? It is to be prefumed that M. pg Luc, with all his extenfive knowledge of nature, could not adduce one fhadow of a fact by which the alleged propofition could be called in queftion or difproved. M. vz Luc concludes in the following manner, (parag. 588.) “ Je ne vois donc rien dans ces faits, qui contribue a éclaircir “la queftion de la pluie; et par conséquent elle me paroit refter au point ou je l’avois amené avant que d’entrer dans ce nouvel examen. Je tire méme du memoire du Dr Hut- TON, ces deux confequences, qui juftifient le travail que j’ai enterpris. Quoiqu’il paroiffe s’étre beaucoup occupé des phénoméenes de la pluie, aucune théorie a leur egard ne l’avoit fatisfait ; et d’aprés ce qui lui etoit connu des loix de l’hygro- logie, il avoit conclu, que la précipitation de l’eau fimple- ment evaporée, ne pouvoit étre produite que par refroidiffe- ment. Or, ce font, entre autres, ces deux motifs qui m’ont conduit dans mes recherches.”’ M. ve Luc had no occafion to juftify his undertaking by any opinions of mine. His writings will always contain matter fufficient to intereft the public; and his ideas of hygro- logy muft be fupported upon their own bottom. I therefore with he had not given as my ideas expreffions which, however, in ce se €6 4c Of M. DE LUC. ee in fome refpects, fufficiently juft, may bear’perhaps another in- terpretation. That the precipitation of water fimply evapo- rated cannot be produced except by cooling, is an expreflion which, though not contrary to my idea, does not contain pre- cifely my opinion. Water is not precipitated from the atmo- {phere in time of rain by the cooling of the air, in the ordinary fenfe of that expreflion, that is, by the abftration of a certain _ quantity of its heat, which is then communicated to fome other body ; but it is becaufe the air is not able to contain fo great a quantity of water, in proportion to its heat, when it is in a lower temperature. The compound mafs of air, which in the formation of rain precipitates water, is not cooled, fo far as I know, below the mean temperature of the different mafles of unequally heated air which have concurred to form it ; but this mean temperature does not fuffice to evaporate all the water which had been contained in thefe maffes feparately. This, however, is only by the by; and I now proceed to the material part of his conclufion, where he thus continues : “ Quant a Vhypothefe que je viens d’examiner, elle étoit “ trés naturelle dans l’état des faits connus; puifgu’il n’étoit “ pas poflible de concevoir d’aucune autre maniére, que des “ mélanges d’airs a differentes temperatures, puffent produire “ des pluies abondantes: et la vraifemblance de cette hypothéfe “ne pouvoit étre détruite, que par un genre d’experiences et “ d’obfervations, qui ne fait que de naftre en phyfique avec “ Vhygrometre.” In anfwer to this, I have but to-obferve, that, had M. pe Luc contented himfelf with faying, as he here has done, that the probability of this hypothefis could not be overturned, but by a fort of phyfical experiments and obfervations which have juft taken their birth with the hygrometer, I fhould have waited patiently until thofe experiments and obfervations had arrived at that maturity which might enable them to confute my theory. But M. pz Luc has undertaken to confute it upon Voi. II. b other 58 ANSWERS to the OBFECTIONS, &e. other principles, which do not require any profound knowledge of that inftrument. It is only to thefe that I have anfwered ; and I beg it to be underftood, that the theory which I have en- deavoured to eftablith, is juft now as open to the experiments of the hygrometer, whether for being fupported by them or overthrown, as if nothing had been written upon the fub- ject. IX. = IX. 4n AccounT of a DisTEMPER, by the common Peo- ple in England vulgarly called the MUMPS. By Rogpert HAmILton, M.D. Fellow of the Royal College of Phyficians, ¥.R.S. Evin. and Phyfician at Lynn Regis, in Norfolk *. HE mumps, or what I beg leave to call angina maxillaris, is an epidemic difeafe of a very fingular nature. It has appeared fometimes to be pretty general; but this has not been the cafe for many years in this place. It feems to be analogous to, if not the fame diftemper with that called the branks, by the common people in Scotland. In the general account of epi- demics, in the firft volume of the Medical Effays of Edinburgh, a diforder is mentioned which feems to have been a flight de- gree of that which is the fubject of the following paper. I have had much practice in this difeafe, and indeed was once reduced to the utmoft danger by it myfelf. Iw the following paper, I fhall not pretend to give a fy{tema- tic treatife on the mumps. I fhall relate what was the refult of obfervation, both in regard to the hiftory and cure of this dif- ~eafe 3 and as I ‘hall faithfully detail what I actually faw, I flatter myfelf, that this account will not be unworthy of the perufal of future obfervers. h2 THE * This paper was read before the Philofophical Society of Edinburgh, Auguft 5. 1773. It is now printed by order of the Committee for publication of the Tranfaétions of the Royal Society of Edinburgh, t 60 ACCOUNT of a DISTEMPER Tue hiftory of the mumps is as follows : A LASSITUDE, a heavinefs, a general reftlefs uneafinefs, not eafily defcribed, are perceived feveral days before the fwelling which chara¢terifes the difeafe, begins to appear. Thefe difa- greeable feelings are attended with gentle rigors, and fome degree of fever, which, being flight, is commonly difregarded. Then a ftiffnefs, with obtufe pain, is felt in one or both fides of the articulation of the lower jaw, impeding its motion and of courfe maftication; which fymptoms increafing, a fwelling appears upon the parts the following day, and quickly extends to the parotid glands, the neighbouring fkin, and cellular mem- brane. Here, in fome, it ftops without difcolouring the {kin ; and, by keeping the parts moderately warm, and cautiouily avoiding the cold external air, the patient is foon freed from it, without any medical affiftance. But, when this is not the cafe, the parts affected generally redden the next day, the tumor be- comes more diffufed, and fometimes increafes fo fuddenly in fize, that, on the third day from its firft appearance, it occupies the falivary glands and furrounding cellular membrane on that fide; and, if both fides are affected, the parts are fo much fwelled, and the tumor defcends fo low, that the countenance is rendered of a frightful enormous magnitude ; and now deglu- tition becomes more or lefs impeded. All this is frequently without much pain; but moft commonly there is now a great deal, and a confiderable degree of fever. When this happens, the countenance appears florid, and a dufky eryfipelatous in- flammation covers the tumor, which is deepeft in colour where there is the greateft hardnefs, viz. on the parotid and maxillary glands. In many fubjects here it ends. And it feems proba- ble from the natural refolution of the difeafe, which now im- mediately follows, that the tumor has attained its greateft mag- nitude, : - - Foo ed SE ttre seein Vulgarly called the MUMPS. 61 nitude, and the diftemper its acmé ; for, about the morning of the fourth day from the firft appearance of the fwelling, a dif- charge begins from the emunc¢tories behind the ears; a dew- like fweat, frequently in large drops, iffues from every pore of the extended furface of the tumor; a gentle diaphorefis covers the body, if in bed; the inflammation abates, the fwelling gradually leffens, and, with thefe favourable circumftances, the fever goes off, and the diftemper totally difappears about the fixth day, if nature is not interrupted in her bufinefs. But, if the tumor fubfides fuddenly about the fourth day, and one or both tefticles begin to fwell, fometimes with much pain, heat, inflammation, new rigors, and a frefh exacerba- tion of fever, much is to be apprehended from this new mor- bid appearance, and much circumfpection is required in the treatment of it. For the means employed by nature to promote the refolution of the tumified teftes, are exactly fimilar to thofe which take place in the termination of the tumors below the ears; a fpontaneous difcharge iffues from the fkin of the parts. affected, and, if this is copious and continued, and accompanied with a free perfpiration from the furface of the whole body in bed, the difeafe ends happily without farther trouble; but if it is {canty, partial, or interrupted by accidental cold or impru- dent treatment, the tumors of the tefticles fubfide fuddenly, the patient becomes reftlefs, a frefh exacerbation of fever en- fues, the head is affeCted, delirium follows, with convulfions and other dreadful fymptoms, and fometimes death clofes the {cene. Ir may be afked, Whence does this train of fymptoms arife? Is it from a tumefaction of the brain taking place in the inftant of the fudden diminution of the tumors of the teftes ;: as we have before feen happen to the tefticles, when the faliva- ry glands fuddenly fubfided ? An ‘62 ACCOUNT of a DISTEMPER AN extraordinary circumftance took place in two cafes which ‘came under my notice. One tefticle in each perfon was found to be wafted away after the difeafe had ended; fome particulars of which {hall be mentioned in the fequel. THE pathognomic figns of the mumps may be readily ga- thered from the foregoing hiftory, and are the fame with little variation. The chara¢teriftic tumor under one or both ears, involving the falivary glands, with more or lefs of a concomi- tant fever, is the firft. If the difeafe is mild, it foon ends by a {pontaneous fweating from the furface of the tumor. If not, that tumor (or tumors, if on both fides) fubfides fuddenly, accompanied with a frefh exacerbation of fever, and the tefti- cles fwell. And here it alfo fometimes goes no further, but terminates by a difcharge from the fkin covering thofe parts. But if the teftes fuddenly fubfide, and a frefh exacerbation of fever appear at the fame time, the brain is immediately affeCted, at- tended by a train of terrible fymptoms, and death fometimes ends the conflict. THE mumps, fo far as my obfervations extended, appeared generally confined to young men, from the age of puberty up- wards to thirty years. Not many between thirty and forty fell under my care. I never knew above one man of forty at- tacked by this difeafe, and he fuffered feverely. Very few boys were affected, and thofe had the diftemper mildly. I never faw any of the female fex above ten years old fubje@t to this illnefs ; and thofe who fell under my care were not nu- merous, and generally had the difeafe mildly. I do not remem- ber one inftance of the mammz being affeéted. 1 have, how- ever, heard of this circumftance ; but cannot fpeak as to the authenticity of my intelligence. But from what happens in men, it is, from analogy, moft natural to fuppofe, that the ovaria are more likely to be affected than the mammz; al- though there is undoubtedly a wonderful fympathy be- tween Vulgarly called the MUM PS. 63 tween the uterus, and we fuppofe its appendages, and the mammz. On this matter, however, I fhall not pretend to decide. THE mumps made its appearance in an epidemic form at Lynn in 1758, and remained feveral years afterwards. It was chiefly confined to the fpring months. In the year 1761, it pre- vailed very much. Two companies of the Norfolk regiment of militia were quartered here, and put under my care. It raged more among thefe foldiers, in proportion to their number, than amongft the inhabitants of the town. I was very feldom with- out feven or eight of thefemen upon my lift, ill of the mumps. After 1761, it began to decline. It, however, made its appear- ance in fpring and autumn, more or lefs as an epidemic, for feveral years afterwards; but the number afflidted with it became gradually lefs: And fome fporadic cafes were to be met with many years after the epidemical appearance of it had ceafed. Ir muft be ingenuoufly confeffed, that on the firft appearance of this (to me) new difeafe, I was much at a lofs how to treat it. In vain I fearched in many authors for its hiftory and cure. That fhort account given by Mr Gooeu, in his Cafes and Re- marks in Surgery, publifhed firft about this time, was the only one | could find ; and that was too defeftive to form from it any general method of cure of a difeafe much more formidable in its appearance here, than that mild fpecies of it which feem- ed to have fallen under his care, and gave way fo readily to the antiphlogiftic method of cure. Obfervation foon taught me that this plan was not only infufficient, but hurtful; and that large evacuations, with a view to reduce the tumors and. pro- mote their difcuffion, did oftener harm than good ; the changes which take place in a bad kind of this difeafe, from the falivary glands to the teftes, and from thefe to the brain, appearing to be more frequent and dangerous, when evacuations were freely and: 64 ACCOUNT of a DISTEMPER and copioufly employed, than when they were fparingly ufed, or not at all. Thus difappointed by following the only method of cure I had feen, I determined to ftudy the difeafe with at- tention, and endeavour to imitate nature’s operations in re- moving it; and had the fatisfaGiion to fee all my patients re- cover. As the antiphlogiftic method had not been attended with fuccefs, I avoided bleeding, unlefs it was indicated by an uncommonly hard and full pulfe, attended with great inflam- mation and pain ; and even then I bled but fparingly. Indeed, as highly inflammatory fymptoms but rarely occurred, there was feldom occafion for this evacuation. The bowels were kept open by clyfters; and fometimes a gentle eccoprotic was necef- fary for this purpofe, but the ftronger cathartics were never ufed. As the difcharge behind the ears, and the fweating from the furface of the tumor, feemed to point out nature’s princi- pal refources in terminating this difeafe, thefe were carefully encouraged, by wrapping the parts in flannel; and, if thefe difcharges happened to ftop, or even to leffen, with an increafe of feverifh fymptoms, blifters were applied behind the ears, fufficiently large to defcend from thence over the whole furface of the tumors, which, by opening a difcharge from the parts immediately affected, imitated, in fome degree, that evacua- tion from them which nature eftablifhes to relieve herfelf ; and. by the influence of their irritation, the difeafe feemed to refume afrefh its feat in the falivary glands, when it had in part left them, and taken poffeflion of the teftes. It was curious to ob- ferve this faét. Sometimes, after the fubfiding of the tumid falivary glands, they have become {welled and _ painful again. When this occurred, the tumors of the tefticles became lefs painful, more relaxed, and leffened in fize, whilft the brain, at the fame time, remained perfectly free from diforder. And this happened more than once in the fame perfon. It was. fometimes obferved, that, after the affeftion of the brain had taken Re et “4 ot rf Vulgarly called the MUMP'S. 65 taken place upon the fudden diminution of the tefticles, that the latter have again become tumid and painful, and that the brain, on this appearance of the difeafe in them, has been im- mediately relieved. Of this curious circumftance, I have feen feveral inftances ; but one was remarkably ftriking in a parti- cular friend, to whom it occurred twice. He, however, did well; but one tefticle wafted away. Reflecting, foon after this paper was firft written, (which was feveral years after my obfervations were begun) on the extraordinary aptitude of this difeafe to flu€tuate in this manner, I conceived that it would be an object of the firft confequence, to fix the diftemper, if poffi- ble, in its firft fituation, the falivary glands, until it was per- fedtly ended, and prevent this dangerous difpofition of it, to fhift. its abode. An early irritation on the parts, and difcharge from the furface, appeared, from what had been obferved of the dif- eafe, and its mode of termination, naturally to be the moft likely means of effecting this; and blifters, from what already had been experienced, feemed:to be beft calculated for this: pur- pofe. There could be no hazard in the trial. With this view, blifters of a fize fufficient to cover the fkin of the tumors, fup- pofing they fhould afterwards attain any confiderable magni- tude, were applied’ over the falivary glands, before the fwellings had arrived at their height, or any fpontaneous difcharge had appeared ; and fo far was the experiment attended with fuccefs, that I do not remember a fingle inftance of a fwelling of the tefticles: taking place, where this mode of attempting to keep up the tumefaction of. the falivary glands, and anticipating the na- tural difcharge, was put in execution. Wherefore, it became my conftant practice afterwards, to apply large blifters on the tumors as foon as they were fufficiently formed to chara@erife’ the difeafe ; and I had great fatisfaction in: obferving their uti- lity. From analogy, we may prefume, that a fimilar mode of practice would be attended with the moft. beneficial effects, in Wer. tl. - i cafes 66 ACCOUNT of a DISTEMPER cafes where the tumefaétions of the tefticles fuddenly fubfide, and the brain becomes affected. I never had occafion to try this ; but I am fo convinced, that, in cafes of this kind, (where there is generally danger), it would be of the greateft advan- tage, that I fhould not hefitate a moment in covering the whole {crotum with a blitter, or rather a bliftering cataplafm, as foon as the leaft fymptom of the head’s becoming difordered appear- ed, with a view to recal (if I may ufe the expreflion) the dif- eafe from the brain to the tefticles, whilft, to relieve the latter, epifpaftics fhould, at the fame time, be fully employed over the tumefied falivary glands. As the patients were generally relieved by a fpontaneous f{weating in bed, diaphoretics of {piritus mindereri, t%c. with warm drinks, affifted to keep up the difcharge for a day or two, and the diftemper was foon at an end. If, about the third day, the tefticles began to fwell, without any remarkable in- creafe of fever, the fame method relieved them. But, if this was accompanied with a low running quick pulfe, and reftlefs- nefs or anxiety, more epifpaftics were applied, and the vis vite kept up by neurotic cordials, befide fudorifics, with a neceflary proportion of the beft of all cordials, wine, and a plentiful fweating was encouraged. The medicines employed were va- rious, according to circumftances ; and were compofed of cam- phire, volatile alcali, fp. mindereri, vin. antimonial. decoét. fer- pentar. &c. with a requifite proportion of opium to abate the reftlefsnefs. The tumefied tefticles were fufpended in a bag- trufs ; the colon was emptied by clyfters, if the patients were coftive ; and, with this treatment, the patients generally got well about the fixth, feventh or eighth day. Ir is requifite here to obferve, that although the parts affect- ed were kept warm, and the body covered fo as to encourage a difcharge from the fkin, it was neceflary that the lungs fhould have a frequent fupply of cool frefh air; for which purpofe, the ae as et Pay — “ene nS a Vulgarly called the MUMPS. 67 the curtains of the bed were kept open, and a free ventilation occafionally admitted by the door and windows of the cham- bers of the fick, which had very beneficial effects. In the fpring of the year 1758, a gentleman of about twenty- two years of age, (of this town), of a plethoric habit, was feized with the mumps. The tumors of the parotid and maxillary glands were large, hard and inflamed, and accompanied with: much fever. He was bled copioufly, and took a brifk cathar- tic, which produced very frequent and large evacuations. The tumors fuddenly fubfided, and his tefticles as fuddenly {welled to an enormous fize, attended with great pain and much fever. Unfortunately, the laft tumefattion was fufpected to arife from a venereal caufe. The event fatally proved the contrary. In confequence of the opinion of its being venereal, plentiful eva- cuations were deemed neceffary ; and accordingly bleeding and brifk purging were again repeated. The cataftrophe was dread- ful: For the fwelled tefticles fubfided fuddenly the next day, the patient was feized with a moft frantic delirium, the nervous fyftem was fhattered with ftrong convulfions, and he died: _ raving mad the third day after. My affairs calling’ me abroad’ prevented my being prefent on this occafion; but, on my re~ turn, at the end of the fame year, I received this account from’ a late learned’ and worthy phyfician *, who attended the patient’ the three laft days of his difeafe. I HAD not many inftances where the brain was affected. One, however, of a gentleman, in April’ 1762, was marked with a circumftance fo extraordinary, that I beg leave to give fome account of it. This perfon was about forty years of age, of a full habit, and had been: bled fome days before any fymp- tom of the mumps appeared: He was obliged to travel a jour= ney in a chaife, the fecond day after the parotid glands began to: fwell. On-the day following this, the tumors: of the falivary: 3 2. glands: - *®DrJos. Tarten. ' 68 ACCOUNT of a DISTEMPER glands had greatly increafed, were inflamed, and the patient had much fever. On the morning of the fourth day, the fwellings were very much enlarged, and the tefticles began to be affected with pain; on the evening of that day, the right one {welled. On the fifth day, both tefticles were much tume- fied ; but the right one was by far the moft fo, and foon became twice the fize of the other ; and the falivary glands were found to be very confiderably diminifhed. On the day following this, the tefticles were found leffened in fize, and the patient was become reftlefs, delirious, with much fever, and had pafled a very bad night; yet the tefticles did not fpeedily, nor altogether, fubfide after the delirium began. Large blifters, nervous, &c. medi- cines, with ftri@ confinement in bed, agreeable to the mode of cure before mentioned, foon relieved. this patient ; the tefticles {welled again, the delirium _left him, the fever went off, and the difeafe gradually ceafed. The moft remarkable circum- ftance attending this cafe was, that the right tefticle, which was twice the magnitude of the other, and was the firft attack- ed, was found, after the tumors in both had fubfided, and the difeafe was at an end, to be reduced to almoft half its natural di- menfions, and kept gradually wafting, till at length a mere empty bag, confifting of the coats, only remained. The glan- dular body of the tefticle has been long gone; neither is the epididymis at this time (April 1789) to be felt; the empty tu- nics are moftly flaccid, but fometimes they contraét into a flattened body of an oblong fhape, fomewhat like an almond. This body is very tender, and gives pain when inadvertently prefled, or touched with roughnefs ; which pain ftrikes in the inftant up the fpermatic chord to the loins, and is exquifite for a few feconds. This, however, feldom happens, as he is particu- larly careful to defend this very fenfible and irritable part from injury ; the fpermatic chord is contraéted and feels hard to the touch ; but this alfo is extremely fenfible. From all which circumftances, She eet Raters ett See e- i. Vulgarly called the MUM PS. 69 circumftances, it may be prefumed, that the veffels are much leffened in diameter, and perhaps the fpermatic artery is be- come impervious ; but the nerves have acquired more {fenfibi- lity and ,irritability. After his recovery, he found no other inconvenience from this extraordinary change than what we have named ; has -had two children fince, one born in 1769, and the other in 1772, who have both healthy conftitutions ; and he now enjoys as good health as moft men at his time of life. ANOTHER cafe of a wafted tefticle in confequence of the mumps, came afterwards under my infpection. A yYouNG man, of twenty-five years of age, of a healthy conftitution, was, in the end of the year 1769, attacked by this diftemper. Upon the tumid falivary glands fubfiding fudden- ly, the tefticles became affected. One of them was much more {welled than the other, and was found, when the fwelling was reduced, to be diminifhed more than one half of its natural fize, at which it remained in Auguft 1771. Or the great number that fell under my care, there was but one cafe which terminated in fuppuration. This was a young militia foldier, of about nineteen years of age, in the year 1761. The tumor was on the left fide, of an enormous magnitude, reaching from about an inch above the maftoid procefs to the fhoulder. It was opened by incifion, and about two pints of matter were difcharged. The feat of it was entirely in the cel- lular membrane, no fuppuration having taken place in the fa- livary glands themfelves. There were large floughs of the morbid cellular membrane feparated from the vaft cavity of this abfcefs ; the loofe integuments united after this very foon to the parts beneath, and the man got well in a fhort time. — AxzouT the end of the year 1762, the learned and ingenious Dr RussEL’s Ciconomia Nature in Morbis Glandularum, fell _ into my hands. There I was pleafed to find an account of the mumps, 70 ACCOUNT of a DISTEMPER mumps, and glad to fee my obfervations fomewhat corrobo- rated by fuch an authority. He thinks it contagious,—“ An- ““ gina hxc ex epidemicis una eft, et contagiofa, et per totas ** domos graflari folet, nifi antea fortaffe juvenes eodem morbo “ Jaboraverint,” The laft part of this fentence implies an opi- nion that people are not liable to have this difeafe more than once. I do not remember an inftance of a perfon’s having it a fecond time. I have feen it go through a family of feveral’ children, which inclined me to think it contagious; but wher I had the difeafe, not any one ele in my family, which con- fitted of four children and fix adults, was attacked by it, al- though my cafe was avery bad one. About twelve months after my recovery, one of my daughters, about fix years old, had the difeafe, and all the reft efcaped. And what is ftill more remarkable, I do not remember an inftance, in the fa- milies where the militia foldiers ill of this diftemper were quar- tered, of a fingle perfon’s being infected by them, Dr RusseL, p. 116. relates a cafe of a patient deftroyed by the mumps, nearly fimilar to that given in this paper. Hippocrares, fect. 1. book 1. of his Epidemics, appears to: have defcribed the mumps. I fhall take the liberty to tranfcribe: the paflage from Dr Frernp’s tranflation. ““ MouLtis vero aurium tumores fubnafcebantur, qui in al+ ‘““ teram partem vergebant, plerifque etiam in utramque, ifque: ‘© febre vacuis et in erectum ftantibus nec decumbentibus, etfi: “ nonnullis paulifper incalefcerent ; omnibus abfque noxa ex- “ tincti funt, neque cuiquam, velut ii, qui alias fui ortus cau- “ fas habent, fuppurationem fecerunt. Horum autem ea fuit ““ natura, ut molles et laxi eflent, magni, diffufi aut fparfi, fine inflammatione et dolore. Omnibufque fenfim et fine ulla “ fignificatione evanefcerent. Fiebant ifta quidem adolefcenti- ““ bus, juvenibus, ztate florentibus, atque horum plurimis qur in paleftra, et gymmaftis exercebantur; mulieribus vero pau- “*) eins - nw Vulgarly called the MUMPS. | 71 “ cis contingebant. Multis tuffes aride et inanes, quibus cum * tuffi nihil educebatur, nec ita multo poft voces raucefcebant. * Quibufdam vero ex temporis intervallo inflammationes cum dolore in alterum teftem erumpebant, quibufdam etiam in utrofque. Alii quidem febribus corripiebantur, nonnulli’ vero fine febre perfiftebant. Atque adeo hzc ipfa plurimis gravia et molefta fuere. De reliquo autem quod ad ea attinet, que ad chirurgiam fpectant, in his inculpate habe- F , Dant. Tue fpring of the year 1761 was very cold and wet; and thofe young militia foldiers, who were moft liable to this dif- eafe, were out early and late in the low damp grounds adjoin- ing this town, to learn their manual exercife ; which correfponds with this paflage, ‘‘ Fiebant ifta quidem adolefcentibus, juve- ** nibus, ztate florentibus, atque horum plurimis, qui in pa- *“ leftra, et gymnafiis exercebantur.” Tissot, in his Avis au Peuple, when treating of dif- eafes of the throat, mentions a diftemper which is common in Switzerland, called by the French Les Oreillons, ou Les ~Ourles. This is a fwelling of the falivary glands, particularly the parotids and maxillaries, and appears to be a mild fpecies of the mumps. The tumor is fometimes fo large as to caufe a difficulty in fwallowing, and alfo to prevent the mouth from opening without pain. Children are more liable to it than adults ; but as it is feldom attended with fever, no medicines are required. All that is neceflary is, to protect the parts from the air, apply a foft poultice, to live abftemioufly, efpecially in _ refpect to animal food and wine, to drink a weak warm beve- rage, and promote perfpiration. He fays he cured himfelf in four days, with balm tea, one fourth of milk and a little bread in it. He does not mention any {welling of the tefticles ; there- fore this probably did not happen in Switzerland, as it never does in very flight cafes of this difeafe. “cc wa I 92 ACCOUNT of a DISTEMPER, &e. I BEG leave to conclude this paper with the following words of CELsus : “ SmpeE vero etiam nova incidere genera morborum in qui- “ bus nihil adhuc ufus oftenderit. Ut ideo neceffarium fit ani- - “ madvertere, unde ea ceperint ; ceu fine quo nemo mortalium “ reperire poflit, cur hoc, quam illo potius utatur.” * X. 4 Boranicat and Mepicat AccouNT of the QUASSIA SIMARUBA, or Tree which produces the Cortex Simaruba.. By W1LL14M WricutT, M.D. F.R.S. Lonp. & Epin. and Phyjfician-general in Ffa- maica*. An Hiftorical Account of the SimARUBA BARK. HE firft knowledge we had of the cortex fimaruba was — in the year 1713. Some of it was fent to France to “M. te Compre DE PorcHARTRAIN, the Secretary of State, as the bark of a tree, called by the natives Simarouba, which they employed with good fuccefs in dyfentery. In 1741, M. Georrroy, in fpeaking of this bark, fays, Eft cortex radicis arboris ignotz, in Guiana nafcentis, et ab “ incolis fimarouba nuncupatz : coloris eft ex albo flavefcentis, “ nullo odore praditus, faporis fubamari, lentifcentibus fibris conftans, candido, leviffimo, infipidoque, radicum, ftipitum, truncique ligno hzrens, a quo facile feparatur.” In 1753 and 1760, Linnzzus makes the fimaruba to be a fpecies of piftacia, or the terebinthinus major, betulz cortice, frudtu triangulari of Sloan. Jam. 289. t. 99. In 1756, Dr Parrick Browne publifhed his Civil and Natural Hiftory of Jamaica. At page 345. he defcribes the terebinthinus, or birch and turpentine tree. The bark of Vot. II. k the * This paper was read before the Philofophical Society of Edinburgh, Auguft 6. 14778. It is now printed by order of the Committee for publication of the Tranfaétions of the Royal Society of Edinburgh. 74 MEDICAL ACCOUNT of the roots, (fays he), is thought to be the fimarouba of the fhops. In 1763, Linnzus makes the fimaruba to be the burfera gummifera, and refers to the piftacia of former editions of the Species Plantarum; and to SLoan and Browne, as above cited. In the appendix, a reference is made to the terebinthi- nus Americana polyphylla. Commelin. Hort. 1. p. 149. and to CATESBY’s gum elemi tree. M. Jacquin vifited all the Weft India iflands, and made many difcoveries of new plants. He examined the roots of the burfera gummifera, and found their bark very different from the fimaruba bark. In 1772, I employed all my fpare hours in examining the plants of Jamaica. In this delightful walk of fcience, I difco- vered and afcertained many hundreds of new plants which had efcaped the diligence of former botanifts. Amongft others, the tree which produces the fimaruba bark. In 1773, fpecimens of the frudtification were fent in fpirits, accompanied with a botanical account of the tree, to my late worthy friend Dr Hopg, Profeffor of Botany in the Univerfity of Edinburgh ; alfo fome dried bark from the roots. The fol- lowing year, fpecimens, with fimilar defcription, were tranf- mitted to my late learned and valuable friend Dr Jonn FoTHER- citi of London; who fent them to the celebrated Linn us at Upfal, as appears by Profeflor Murray’s Apparatus Medica- minum, vol. iii. p. 458. *, article Simaruba. Dr FoTHERGILL caufed elegant drawings to be made of this plant; and thefe drawings I now have the honour of prefenting to the Royal So- ciety of Edinburgh. It * Quatis vera ejufdem arbor fit, jamjam aubletii indagine cognofcimus, ut tamen et mihi monere incumbat. b. Linnaam equitem, litteris jam anno 1776, ineunte mihi da- tis, antiquam aubletii elegantiffimum opus illi innotefceret. fignificafle, Simarubam Quaffiz fpecies a fe haberi. Ile autem fimarube cortex quo Cl. Wricut, arborem in Jamaica, vulgarem veftitam efle innuit ; pariter in alvi profluviis efficaci, &e. The QUASSIA SIMARUBA. 75 Ir is here proper to remark, that this paper was read before the Philofophical Society of this place, and committed for pub- lication in 1778. At the time when that Society obtained the Royal Charter, I chanced to be abroad. On my return to Edin- burgh, I withdrew the communication to correct and add to my account of this important article of Materia Medica. Defcription of the Tree. THE tree now to be defcribed is common in all the wood- lands in Jamaica. It grows to a great height and confiderable thicknefs. The trunks of the old trees are black and a little furrowed. Thofe of the young trees fmooth and gray, with here and there a broad yellow {pot. Tue infide bark of the trunk and branches is white, fibrous and tough. It taftes flightly bitter. On cutting or {tripping off this bark, no milky juice iffues, as has been mentioned by various authors. Tue wood is hard, and ufeful for buildings. It fplits freely, and makes excellent ftaves for fugar hogfheads. It has no fen- - fible bitter tafte. Tue branches are alternate and fpreading. TuE leaves are numerous and alternate. On the upper fide, they are fmooth, fhining and of a deep green colour; on the under fide, they are white. TueE flowers appear about the beginning of April. They are of a yellow colour, and placed on {pikes beautifully branched. THE fruit is of that kind called a drupa, and is ripe towards the end of May. It is of an oval fhape, is black, fmooth and fhining. The pulp is flefhy and foft; the tafte a naufeous fweet. The nut is flattened, and on one fide winged. The ker- nel is {mall, flat, and taftes fweet. &2 THE 76 : MEDICAL ACCOUNT of Tue natural number of thefe drupz is five on each common receptacle; but, for the moft part, there are only two or three ; the reft abort by various accidents. Tue roots are thick, and run fuperficially under the furface of the ground to a confiderable diftance. The bark is rough, f{caly and warted. The infide when frefh is a full yellow, but when dry paler. It has but little fmell. The tafte is bitter, but not very difagreeable. ‘This is the true Cortex Simarube of the fhops. Tuts tree is known in Jamaica by the names of Mountain Damfon, Bitter Damfon and Stave-wood. ‘The fhops are fup- plied with this bark from Guiana; but now we may have it from our own iflands at a moderate expence. i On examining the frudtification, I found this tree to be a fpecies of Quaffia. Under that name, I fent it to Europe, and Linnzus adopted it into his fyftem. THERE are male flowers on one tree, and female flowers on another ; and this is invariably the cafe in Jamaica. Senfible Qualities of Cortex Simarube. I caw difcover no aftringency in the cortex fimarubz, either by the tafte, or by the various tefts to which I fubjected it.. Nor is there any mucilaginous quality to be perceived in the recent bark, or in the decoction of that which has been dried.. its Medical Virtues iw general. Most authors who have written on the fimaruba, agree, that in fluxes it reftores the loft tone of the inteftines, allays. their {pafmodic motions, promotes the fecretions by urine and perfpiration, removes that lownefs of {pirits attending dyfente- ries, and difpofes the patient to fleep; the gripes and tenefmus are taken off, and the ftools are changed to their natural colour and. The QUASSTA SIMARUBA. 77 and confiftence. Ina moderate doze, it occafions no difturb- ance or uneafinefs ; but in large dozes it produces ficknefs at ftomach, and vomiting. Negroes are lefs affected by it than white people. Preparation of Simaruba Bark. Tue fimaruba bark yields its qualities to water, either in cold infufion or in decoétion. I prefer the latter. Phyficians have prefcribed the bark in different quantities; but it feems now agreed that the following proportion is the beft: ; Two drams fimaruba bark, boiled from twenty-four ounces of water to twelve ounces, then {ftrained. Tuts is divided into three equal parts, and the whole taken in twenty-four hours. WHEN the ftomach is reconciled to it, three drams may be boiled in the fame quantity of water, and taken as above men- tioned. Some join aromatics to the deco¢tion of this bark;- others give a few drops of laudanum with each doze. The de- coction is to be drank daily till the diforder is cured, which fometimes happens in a few days, and at other times it may re- quire weeks to perfect a cure. Of the Effeéis of Simaruba in particular Difeafes. -Havine thus treated of the fimaruba in general, I am now to mention its ufe and effects more particularly in different dif- eafes, and firft in the Dyfentery. In the years 1718 and 1723, an epidemic: flux prevailed in France, and {wept off a great numberof people of all ages and of both fexes. This diforder not only refifted all the medicines given, but was aggravated by fmall dozes of ipecacuanha, the mildeft purgatives, and all. aftringents. The diforder was happily cured by the fima> ruba. M: 78 MEDICAL ACCOUNT of M. Jussizu ufed this bark for fifteen years in obftinate dyfenteries with great fuccefs ; and continued its exhibition, although the catamenia in women, or hemorrhage from piles in men, occurred during the cure. Mop_ern phyficians have found from experience, that this medicine is only fuccefsful in the third ftage of dyfentery, where there is no fever, where too the ftomach is no way hurt, and where the gripes and tenefnus are only continued by a weak- nefs of the bowels. In fuch cafes, Dr D. Monro gave two or three ounces of the deco¢tion every five or fix hours, with four or five drops of laudanum ; and found it a very ufeful remedy. Tue late Sir JoHn Princie, Dr Huck SaunpDeERs, and ma- ny others, prefcribed the cortex fimaruba in old and obftinate dyfenteries and diarrhceas, efpecially thofe brought from warm climates. Fluxes of this fort, which were brought home from the fieges of Martinico and the Havannah, were completely and {peedily cured by this bark. The urine which, in thofe cafes, had been high coloured and fcanty, was now voided in great abundance, and perfpiration reftored. Dr James LIND at Haflar Hofpital, fays, That the fimaruba produced thefe effects fooner, and more certainly, when given in fuch quantity as to naufeate the ftomach. Dr Huck Saunpers remarks, That if the fimaruba did not give relief in three days, he expected little benefit from its farther ufe; but others have found it efficaci- ous in fluxes, after a continued ufe for feveral weeks. Authors have cautioned us againft the ufe of this bark where the in- teftines are ulcerated and difpofed to cancer after fluxes. In diarrheeas, from abforption of pus, the fimaruba has given relief ; the former difcharge from fuch ulcers was reftored, and the pus meliorated. LrenTeErta itfelf, and even hepatic fluxes, have been cured by the fimaruba, after other medicines were tried without fuc- cefs. Vide A&t. Natur. curiof. tom. ii. p. 80,—82. In picstus (at of LSS Tey Se ay ey oe Sco pede v e<—- ‘ The QUASSIA SIMARUBA. 79 In putrid fevers, (as we are told) attended with coldnefs of _ the extremities, colliquative fweats and ftools, and great dejec- tion of fpirits, this bark performed wonders, and many reco- vered by its ufe. Vide Roupe de Morbis Navigantium, p. 311. _ Hasirvat colics, with bloody ftools, attended with fever and delirium, have been radically cured by the fimaruba bark. IMMODERATE fluxes of the menfes and from piles, have been happily ftopped by this medicine ; and it would appear from fome late trials, that fluor albus has been remedied by the fame bark. De Haew found the fimaruba to be an excellent vermifuge ; and ufed it with fuccefs in difeafes depending on worms, parti- -cularly fluzes. _ My own experience, and that of many living friends, are convincing proofs to me of the efficacy of this medicine; and I hope the fimaruba bark will foon be in more general ufe. QUASSIA 80 MEDICAL ACCOUNT of QUASSIA SIMARUBA. Fros Mascutus. Cal. Perianthium monophyllum, parvum, quinquefidum, denti- culis ovatis, erectis. Cor. Petala quinque, feffilia, zqualia, lanceolata, fubrevoluta, calyce triplo longiora, calyci inferta. Neéfarium ex {quamis decem, ovatis, villofis, bafi filamentorum interiori infertis. Stam. Filamenta decem, filiformia, equalia, longitudine corollz. Anthere oblonge, incumbentes ; in centro floris corpus carno- fum, orbiculatum, decem-fulcatum. Piftillum nullum. Fros FEMINEUS. Calyx et Corolla, ut in flore mafculo. ~ Piftillum. Germina quinque fubrotunda, introrfum coalita. Stylus cylindraceus, erectus, quinque-partitus, longitudine corolla. Stigmata fubulata, recurvata, perfiftentia. Pericarpium. Drupe quinque laterales, diftantes, receptaculo orbiculato, carnofo inferte. Semina. Nux oblongo-ovata, acuminata, unilocularis. Nucleus compreflus. INFLORESCENTIA. Panicula compofita. Pedicellis fubjicitur ftipula lanceolata, pe- tiolata. Folia alternato-pinnata. Foliola oblonga, obtufa, nitida, integra, bafi attenuata, fubfeffilia; coftis lateralibus nervolis. E X- a re rr r } t Avcaf.nit - Spprceveeban PAS ~ ‘ Miller eel! Sohn LBepo Seuyet 7 hn, Xo obnagy ins Bugy NT: way) 4 ae an) AKy ABS Therefore the points A, c, 1, are ina parabola, of which AB is a diameter, Af a tangent, and Ke, Bl, are ordinates.. Alfo, becaufe Ll: Cc, = Ff: Cc, = AF: AP, = T, AF: T, AP, (by the fymbol T, AF, tc. is exprefled the time of moving along AF, ne a | eS ee ty ee On the MOTION of LIGHT. 101 AF, &c.) it is evident that Cc is equal and oppofite to the mo- tion of the point A, while the light defcribes the parabolic arch AC, and that L] is equal and oppofite to the motion of A, while the light defcribes the arch ACL. Therefore L and 1, C and c, are contemporaneous places of the real and relative paths of the light, and the parabola Ac] is its relative path. We have feen that Af is the relative motion of the incident light during the time of defcribing AB by the impulfe of the refracting forces acting on a particle of light at reftin A. Let - us now fuppofe that the medium is at reft, and that the light enters the refracting ftratum at A, with the velocity and in the direction Af. It muft defcribe a parabola, which Af touches in A, and of which AB is a diameter and Bl an ordinate ; that is, it muft deferibe the very parabola Acl, and it muft defcribe it in the fame time that the light incident with the velocity, and in the direction AF, defcribes the parabola ACL. Its motion, therefore, both before and after refraction, is the fame with the relative motion of the light having the velocity and direction AF, incident on the medium moving with the velocity and i in: the direétion AI. - Ler c be the point of interfeftion of the parabola Ac’ and’ the plane BS. Draw cC parallel to Ai, cutting the parabola ACL in CG. C muft be the point of that parabola, where the refraction by the moving medium is completed. For Ll: Cc ae Aptos Ab AP — IT) AL: F, AGS TT, AR: Ty cC. Therefore, while the light moves from A to c, the point c moves _ from c to C, where the light will pafs through it, and the re- fragtion be completed, the plane BS having now gotten into the fituation bs, and the-plane AQ into the fituation aq. Draw the ordinates ADE, Ade, to the diameters PC, pc, and draw mr, the direétrix of the parabola Acl, and join Dd.. ' Tt is known that AF is to AE as the velocity in A to the velo- ‘eityinC. Now, AE: AD= AF: AP, = Af: Ap, = Ae: Ad. Therefore, Dd is parallel to Cc. Therefore the velocity Ae, compounded. IO2 On th MOTION of LIGHT. compounded of AE and Ee, which is equal and oppofite to Al, is the relative velocity of the light in C, and Af, Ae, are the re- lative velocities of the incident and refrated light. Now, Kc? = AK X 4Am and Ad? = cd X.4cr, = AK X4cr. | There- fore, Ad?— Kc? = AK X 4cr —4Am, = AK X 4AB. Now, Ad? : Ae? =.Ap? »,Af?, = Ke*;: Bl*, = AK : AB... Therefore, Ae? —Af? = AB X 4AB, = AO?. That is, when the light has paffed through, and emerges from the refracting ftratum, the difference between the fquares of the initial and final rela- tive velocities is equal to the fquare of the fpecific velocity of the medium. Atso, (becaufe Qe* —Qf* = Ae? — Af”) the difference between the fquares of the initial and final relative perpendicu- lar velocities, is equal to the fquare of the fpecific velocity. Bor it will not always happen that the light will emerge from the refra@ting ftratum after pafling over it, and it may fre- guently happen that it will not pafs over the whole extent of it. Tuus, fuppofe the light to be within the medium, moving towards the refracting ftratum, while the medium is moving more flowly towards the fame quarter, or moving towards the oppofite quarter ; and let the relative perpendicular velocity of the light be equal to the fpecific velocity. Suppofe that the light paffes through the refracting ftratum at A (fig. 3.) mo- ving in the direction and with the velocity AF. It would de- fcribe (by the action of the refrating forces) the parabola ALC, of which AB’, equal to AB, is the abfcifla from a diameter, and B'L, equal and parallel to AF, is an ordinate. Draw In paral- lel to AQ, cutting FLinn. It is plain that dn is the perpen- dicular velocity of the medium, dF the perpendicular velocity of the incident light, and nF its relative perpendicular velo- city. This is equal to twice AB by fuppofition. But FL is equal to AB; therefore Ln is alfo equal to AB, and An is an ordinate to FL. Alfo, LB, drawn from L to B, is a tangent at LL, and bLs is the fituation of the plane BS, when the light which On the MOTION of LIGHT. 103 which entered the refracting ftratum at Ais at L. BL is the velocity with which the light paffes through L, and Bb is its per- pendicular velocity. This is evidently equal to dn, the perpen- dicular velocity of the medium. Since, therefore, they have the fame velocity in the direGtion LF, it is plain, that the light will not pafs through the plane bL ; and becaufe it is fubjected to the action of the refra@ting forces, it will be defle&ted towards AQ, and will defcribe another arch LC of the parabola, and will be met in C by the point c of the plane AQ, which has moved in the mean time through cC parallel tolL. The point lis the vertex of the relative path Alc, and the abfcifla 1g being equal to BA, it is evident that fg, the relative perpendicular velocity, is equal to twice BA, that is, to the {pecific velocity. Ir, as in fig. 4. the relative perpendicular velocity of the light be lefs than the fpecific velocity, it will not pafs through the whole refracting ftratum: For draw In parallel to AQ, cutting FLinn. Itis plain than dn is the perpendicular ve- locity of the medium, and dF the perpendicular velocity of the light, and nF the relative perpendicular velocity. Becaufe this is fuppofed lefs than twice AB, Lm is lefs than FL, and An is not an ordinate to FL. Let oVh, parallel to An, touch the parabola in V, and draw hk perpendicular to AB. Then oK, or nd, isthe perpendicular velocity of the light. Therefore, fince the perpendicular velocities of the light in V, and of the medium, are equal, the light is then the neareft poffible to the plane BS, which has now obtained the fituation bs. It is therefore in the vertex of the relative parabola, or, drawing Vv parallel to Ff, v will be the vertex of the relative path Avl; therefore the light, after pafling through V and L, will defcribe another arch LC of its parabolic path, and it will be met in C by the point c of the plane AQ, which has in the mean time moved along cC. Fig. 5. exhibits the fame particulars in the cafe when the light within the medium is moving /rom the refract- - ing ftratum, but is overtaken by it. Tuus 104 On the MOTION of LIGHT. ‘Tuus we fee that when the light within the refracting medi- uum either meets or overtakes the refracting ftratum, or is over- taken by it, and the relative perpendicular velocity is not greater than the fpecific velocity, the light does not emerge from the medium, but is refle¢ted back into it. Ir is farther to be obferved, that in thefe cafes, the angle of relative refleGtion is equal to the angle of relative incidence, and the relative velocity of the light after reflection is the fame as before refleGtion. For the tangents At, tc, (fig. 3.4.5.) are equally inclined to the axis of the parabola Alc, and equal portions of them will be intercepted by the diameters AB, FL, and thefe portions exprefs the relative velocities of the light in Aandc. Alfo, the relative perpendicular velocity of the re- fleGted light is equal to the relative perpendicular velocity of the incident light, but in the oppofite direction. Ler us fuppofe, that the refrafting ftratum is divided into feveral partial {trata, by planes parallel to AQ and BS, and that the forces are different in each ftratum, but uniform through its whole extent. Tue relative motion of the light, emerging from the pofterior furface of the firft partial ftratum, is the relative motion of the light immerging into the fecond ftratum. Therefore, by the preceding reafoning, the relative motion of the light emerging from the pofterior furface of the fecond ftratum, is the fame as if the medium had been at reft, and the light had approached it with the fame relative initial motion. The fame mutt be affirmed of all the partial {trata in fucceflion, and is therefore true with refpect to the final motion of the refracted light. FurTHER, the whole change which is made on the fquare of the relative velocity of the incident light, in thofe cafes where it paffes through and emerges from the refra¢ting {tra- tum, is equal to the fquare of the velocity which a particle of light would acquire if impelled by the variable refracting forces from a {tate of reft through the whole refracting ftratum. For ies pee se Me a Ss a hag ak ag A SATEEN On the MOTION of LIGHT. 105 For if the medium were at reft, and the light approached it with the fame relative motion, we have feen that the ab/olute velocity with which the light enters any one of the partial dtrata, is the fame with the relative velocity with which it en- ters it when the medium is in motion. Now, when the medi- um is at reft, the change made in the fquare of the abfolute welocity (whatever this velocity be) is equal to the fquare of the fpecific velocity of that ftratum. Therefore, if the velocity with which the light enters this ftratum be that which it would have acquired if impelled by the refra@ing forces from a ftate of reft at A, in the anterior furface of the firft ftratum, the change made on the fquare of this velocity would have been full the fame, and the whole velocity would be that acquired by the varied impulfe from a ftate of reftin A. This is true with refpect to the laft ftratum and therefore if the light enter the refracting ftratum.of the quiefcent medium with any velo- city, and in any direction whatever, the change made in the {quare of its velocity, when it has paffed through all the partial ftrata, and emerged from the laft of them, is equal to the fum of the fquares of their refpective fpecific velocities, and this fum is equal 'to the fquare of what may be called the fpecific velocity of the whole refracting ftratum. Now, the abfolute velocity with which the light emerges from the refracting ftra- tum of the quiefcent medium is the fame with the relative ve- locity with which it emerges from the refracting ftratum of the medium in motion. Therefore, the change made on the fquare of the relative velocity of the incident light is equal to the fquare of the fpecific velocity of the medium. -WE need not employ any time to fhow that this is alfo true with refpect to the relative perpendicular velocity. Nor will it be neceflary to fhow that when the light, moving within the medium, meets with or overtakes the refracting ftratum, or is overtaken by it, and the relative perpendicular velocity of the Vou. I. 0 incident 106 On the MOTION of LIGHT. incident light is not greater than the f{pecific velocity of the me- dium, it will not emerge from the refracting ftratum, but will be reflected back again in the medium; nor to fhow that the angle of reflection is equal to the angle of incidence, and that the relative velocity of the reflected light is equal to that of the incident light, and that the relative perpendicular velocity of the reflected light is equal to that of the incident light, but in the oppofite dire¢tion. Lofily, Ler the number of the partial ftrata be augmented, and their thicknefs diminifhed, without end. The foregoing demonttration will now be applicable to the motion of light through refra@ting fubftances which are in motion, and which act on it with forces, continually varyin® according to any law of the diftances ; and it may be received as the fundamental pro- pofition on this fubject, that, If a ray of light, moving. in any direétion and with any velocity, meet with the furface of a refracting medium, which is in motion, its final relative motion will be the fame as if the medium had been at reft, and the light bad approached it with the fame initial relative motion. : Ir is eafy to fee that what has been faid about the motion of light within a medium which acts upon it with attractive forces, will apply to the motion of light which is without a medium that acts upon it with repelling forces. In fuch a cafe, the light will not be refraéted into the medium, unlefs its per- pendicular relative velocity be greater than the fpecific velocity of the medium, but will be reflected with an equal relative ve- locity, and at an equal relative angle on the other fide of the perpendicular. Ir is alfo eafy to fee that the foregoing demonftration will apply to the motion of light through two contiguous mediums. For there will be a refracting ftratum, where the light will be affected by the fum or the difference of the refracting On the MOTION of LIGHT. refraGting forces, ageontiing as they,aét in the fame or oppofite directions *. I * Ir was about the beginning of 1784 that I inveftigated the foregoing demonftration, which, as the reader will fee, is eonduéted after the method adopted by Sir Isaac New- Ton, in his demonftration of the 94th propofition of the firft book of the Principia, 1 applied to my much efteemed colleague’ Mr Profeffor Prayrarr, for his afliftance in a cafe to which the foregoing demonftration may perhaps be thought not to extend, namely, when the motion of the light, and that of the medium, are perpendicular to the refracting furface. Before I had obtained a demonftration which pleafed me, he favoured me with the following elegant analytical demonftration. Ler wv be the velocity of a particle of light when it has arrived at the diftance x with- in the refraéting medium (x being counted from the point in’ which the particle began to be acted on, and being lef than the diftance from that point at which the motion of the ‘particle again becomes uniform.) Let / be the force ating on the particle at the di- ftance x. Leet a@ be the velocity of the incident light, and c the velocity of the me- dium in the oppofite dire¢tion. Ir is evident that the force f does not ag on the particle during its paflage through the whole fpace x, but only during its paflage through the part 3 = x. Therefore, Ux ‘ 2u fx . of x i : . voat+a2 ff , and 2vv = f > or a That is, vu + 2c v . utc ute Uke = 2f%, and, taking the fluent, v* + 200 = 2ffa+C*. But when offi 0, we have v® + 2c v = a* +-2ac, and therefore v* + 2c” = a* +2ac+ of f si» Let the fluent of 2f x (affumed, fo that x fhall be the diftance at which the velocity of the light again becomes uniform) be fuppofed = g*. Then v* + 2cv = a* + 2ac-+ 7. Add c* to both fides of the equation. Then v? + 2vc--c? = a* + 2ac +c? +27; and thereforev-to = ate’ +g*. But a +c is the relative velocity of the ‘incident light, and v +c is the relative velocity of the refraéted or accelerated light. ‘Therefore the fquare of the latter exceeds the {quare of the former by the conftant quan- “tity g?. Now, g? = of, (fx 3: and is therefore (by the celebrated 39th propofition of the firft book of the Principia) the {quare of the velocity which a particle of light would acquire if impelled from a 8 of reft through the whole diftance at which the medium acts on light. 02 Since 108 On the MOTION of LIGHT. I now proceed to deduce fome of the moft ufeful corollaries from the general propofition. Corollary 1. Tue relative velocities of the incident and re- fracted light are dire¢tly as the co-fecants, or inverfely as the fines of the relative angles of incidence and refraétion. _ For it was demonftrated, that Af and Ae (fig. 2.) are in the proportion _ of the velocities of the light in the points A and c of its relative path. Now, if ef cuts the plane AQ in the point Q, and AQ be confidered as the radius, Af and Ae are the co-fecants of the angles BAf and BAe, which are the relative angles of incidence and refraction. Alfo, Af is to Ae as the fine of the angle AeQ_ to the fine of the angle AfQ, that is, as the fine of the angle BAe to the fine of the angle BAf, that is, as the fine of the relative angle of refraction to. the fine of the relative angle of incidence. Cor. 2. Ir the relative velocity of the incident light be the fame in all the relative angles of incidence, the relative velocities of the refracted light will alfo be equal in all the relative angles of refraction. For the fum or the difference of the fquare of the relative velocity of the incident light, (which is a conftamt quantity) and the fquare of the conftant fpecific velocity, con- ftitute a furface which is alfo conftant, and’ which is equal to the Stxce the relative velocities, eftimated in a direétion parallel to the refracting furface, are not changed by the action of the refraéting forces, it evidently fol- lows from this demonftration that the difference between the fquares of the relative ve- locities of the incident and refraéted light, is equal to the fquare of the {pecific velocity of the medium, whatever may be the direétions of the meident and refracted light, and therefore, that the final relative motion of the refracted light is the fame as if the medium had been at reft, and the light had approached it with the fame relative motion. But although this demonftration would have been much more elegant, and more agreeable to the manner in which I have been accuflomed to explain the refra&tion of light, I chofe to retain the demonftration which I have given in the text, becaufe I think that it gives me a better opportunity of exhibiting to the mind the whole motion of the light during its re- fraction or refle@ion. At the fame time, I thought it my duty to communicate, with. Mr Prarrair’s permiffion, his demonftration to the public. $req Re ade eee On the MOTION of LIGHT. 109 the fquare of the relative velocity of the refracted light. This is therefore a conftant quantity, or the relative velocity of the refracted light is the fame in all the relative angles of re- fraction. Cor..3. Ir the relative velocities of the incident light be the fame in all angles of incidence, the fines of relative incidence and refraction are in a conftant ratio, namely, the inverfe ratio of the relative velocities of the incident and refracted light. This appears by combining the laft corollary with the firft. Cor. 4. WuEN light moving with the fame velocity in all di- rections, is refracted by a medium at reft, the fines of incidence and refraction are in the conftant ratio of the velocities of the - refracted and incident light. ‘Fhis appears from the laft. co- rollary. Gor. 5. Ir the light moving in a medium A be refracted by a medium B, which is in motion, and emerge from it into the medium A, it will regain the relative velocity which it formerly had when in this medium. For the fquare of its relative velo- eity while in the medium B, differs from the fquare of each of its relative velocities in the medium A by the fame quantity, viz. by the fquare of the fpecific velocity of the medium B. It is evident that the fame thing will happen when the light paffes through feveral contiguous mediums in motion before it emerges again into the medium A. Cor. 6. Ir the relative: paths of the light before its entering into the medium: B, and after its emergence from it, be equally mclined to the direction of the medium, the abfolute velocities of the incident and emergent light will be equal, but in no other cafe. This is eafily feen by refolving the relative motions of the incident and emergent light. Hence we learn, that if the plane furface of a plano-convex lenfe be turned towards a fixed’ ftar to which the earth is approaching, or from which it is re- ceding, the abfolute velocity of the lateral emergent rays will be increafed or diminifhed. Cor, 110 On the MOTION of LIGHT. Cor. 7; WHEN the light is reflected, the relative angles of in- cidence and refle@tion are equal, as alfo the relative velocities of the incident and retlected light. Cor. 8. Bur the abfolute angles of incidence and reflection, and alfo the abfolute velocities of the incident and reflected light, are unequal, except in the cafe where the motion of the refleCting fubftance is in the direction of the reflecting plane. Ir the plane be moving towards that fide from which the light comes, the angle of reflection will be lefs than that of in- cidence, and the perpendicular velocity of the reflected light will exceed that of the incident light by twice the perpendicular velocity of the reflecting plane. The contrary will happen if the plane be moving towards the oppofite fide. Tue application of the foregoing propofition to Mr Bosco- VICH’s experiment is extremely fimple. When the telefcope is fo directed that the image of the object is formed upon the interfection of the crofs wires in the eye-piece, the relative mo- tion of the light is performed along the axis of the telefcope ; or the axis of the telefcope is in the direction of the relative motion of the light, and indicates the apparent pofition of the object. Now, when the water telefcope has the pofition AB, (fig. 1.) the relative motion of the light in the telefcope is the fame as if the telef{cope had been at reft, and the light had ap- proached it with the fame relative motion. Now, the motion DA is evidently the relative motion of the incident light. For it is compofed of OA, the real motion of the light, and DO, the oppofite to the real motion of the telefcope. Now, if the telefcope had been at reft, and the light had entered it in the direétion and with the velocity DA, it would have proceeded in the direflion AB, and therefore the telefcope muft always be directed to the real contemporaneous place of. the terreftrial object, and there will be none of that diurnal deviation which Mr Boscovicu aflerts. Tuus whe teeter Pe 2 ace PW. Phys, Ct Te s ae + v 4 FH ? Se OTS —— pai ae Sat ears er. Sa On the MOTION of LIGHT. IIT _ Tuus it appears that the water telefcope muft have the fame _ pofition with the common telef{cope, or that both of them mutt always be directed to the real place of the terreftrial object. __ Irwill alfo eafily appear, that when the image of a fixed ftar _ is formed upon the interfection of the crofs wires in the eye- F pieces of a common telefcope, and a telefcope filled with water, _ the two telefcopes will have the fame pofition, and will indicate _ the fame aberration of the fixed ftars. For, by the fame rea- foning, it appears that the water telefcope at A muft have the _ pofition AB, and the aberration OAD is the fame with that ob- _ferved with a common telefcope. __-Wiru this application of the general propofition I fhall con- clude this paper, referving a farther account of the fubje@ for _ another opportunity, if he aismics fhall think it worthy of their attention. XIE. XII. DEMONSTRATIONS of fome of Dr MATTHEW STEW. ART’s GENERAL THEOREMS. By ROBERT SMALL, D.D. F.R.S. Evin. [Read by the Author, Feb. 7. 1785.] HAT excellent Geometer the late Dr MartuEew STEw- ART, as long ago as the year 1746, publifhed his book of General Theorems, all of them, except the firft five, without the demonftrations. As Ido not find that any demonftration of them has ever been made public, I may perhaps flatter my- felf that what I now communicate to this Society will not be wholly unacceptable. The demonftrations given are of the propofitions relating to the fums of the fquares, and of the fourth powers of lines drawn in a certain manner, and are feleéted from the reft, as moft connected with one another. The theorems that refpect the cubes and other higher powers, may afford materials for another paper, fhould this meet with the approbation of the Society. A Few lemmas and corollaries have been introduced that are not among Dr Stewart's Theorems, and which are therefore di- ftinguifhed by afterifks. The references are to the edition of thofe Theorems publifhed at Edinburgh, 1746, and the propofi- tions are numbered as in that edition, beginning with the fixth Theorem. T HE DEMONSTRATIONS of, &c. 113 THEOREM VI. Fic. I. Let there be any number, m, of given points A, B, C, &c. a point X may be found, fuch, that if from A,B,C, &c. there be drawn frraight lines to any point D, and to the point X found, and if DX be joined, AD?+BD*+CD? &c. = AX?+BX?+CX? &c. +mDX°. Let m be = 3. Suppose the point X found, join DX, from the given points A, B, C draw AE, BF, CG perpendicular to DX, and join AX, BX, CX. Since AD*+BD*+-CD* = AX?+BX*+CX’+3DX’, and AD* = AX’?+-DX*— 2DX. XE, and BD? = BX’+DX?+ 2DX. XF, and CD? = CX*+DX?+ 2DX. XG, the point X in the line DX mutt be fo taken, that the part EX, intercepted between it and AE the perpendicular from the point A, be equal to FX and GX, the fum of the parts intercepted between it and the perpendiculars BF and CG, from B and C; and the parts FX, GX mutt be in the oppofite direCtion to EX.. Tuis will be effected by the following conftruétion : Join AB, and bifecét itm H; and join HG, and divide it in X; fo that CK = 2HX; X will be the point required. eis From H draw to DX the perpendicular HK. Since AH = BH, we fhall have EK = FK; and fince a = 2HX, we'fhall alfo have GX = 2KX. Therefore fince . . FX = FK—KxX, and ot " GX = = 2KX > FX+GXK = FK+-KX =. EK+KX = EX, and —2DX. XE+2DX. XF+2DX. XG =o. Tue point X thus found is the centre of gravity of the three: -points A, B,C. This propofition, and that which follows, are well known, and are given here only for the fake of order: Vor. II. p Dr ri4 DEMONSTRATIONS of Dr Simson, in his Reftoration of the Loci Plani, has deduced them from a propofition of that book. Vid. Loc. Plan. lib. 2. prop. §. cor. 1. & 3. The fecond and fourth of Dr STEWART’s Theorems are particular cafes of this propofition, and are eafily derived from i it. THEOREM’ VII. Fie. II. Let there be any number, m, of given points A, B, C, &c. and let a, b,c, &e. be given magnitudes, as'many in number as there are given points, a point X may be found, fuch, that if from A, B, C, &c. there be drawn ftraight lines to any point D, and alfo to X the point found, and if DX be joined, a. AF?+4.BD?+¢.CD?&c, = a.AX?+b.BX*++c.CX*+-(a+b-+¢e)DX. Let m be = 3. Suppofe the point X found. Join DX; from the given points A, B, C draw AE, BF, CG perpendicular to DX, and join AX, BX, CX. SrncEa.AD?+4. Be. CD?=a. AX++0. BK+he, CX+(atb+e) DX’; and a. AD? = a.AX?+a.DX*—2a.DX. XE, and 5.BD? = 6.BX?+4.DX?+-26.DX. XF, and ¢.CD* = ¢.CX?+¢.DX*+2¢.DX. XG ; or a. AD*-+).BD*+¢.CD? = a.AX?+-6.BX?+c.CX?+-(a+6-+¢)DX7+- 2DX (—a.XE+6.XF+¢.XG) 5 a.XE mutt be equal, and in the oppofite direction to b.XF+c.XG, Turs will be effe€ted by the following conftruction : Jorn AB, and divide it in H, fo that 6.BH = a.AH; that is, make AH: BH = 4:a, and join HC, and divide it in X, fo that HX: CX =c:a+d3 or or?) HX =c.CX. Then X will be the point required. From H draw to DX, the pet ptinlateiiar HK. of SINCE Dr STEWART's THEOREMS. 115 Since 2.AH = 4.BH, we fhall have a.EK = 6.FK; and fince (a+6)HX = c.CX, we fhall alfo have (a+6)KX = ¢.GX. Therefore fince 6.XF = 6.FK—6. KX, and c.XG = (a+) KX, we fhall have 6.XF+c¢.XG = b.FK+-a.KX = a.EK-+a.KX = a.XE, and .2DX (—a.XE+d.XF+c.XG) = 0; therefore a.-AD*+6.BD?+¢.CD? = a.AX?+5.BX?-+c. Bria teaND or AD++—-BD+4+-—CD: = AX*+—Bx++ £ cx4 (=*)Bx: The point X is the centre of gravity of weights, proportional to the magnitudes a, b,c, &c.- placed at the given points A,B, C, &e. ‘CGor,1. LET any number, m, of circles be given by pofition, (Ag. 4.) and about every circle let an equilateral figure be de- feribed} a point X may be found, fuch, that if from any point C there be drawn perpendiculars to the fides of the figures, and a ftraight line to the point found, twice the fum of the fquares of the perpendiculars will be equal to the multiple.of the fquare of the line drawn to the point found, by the number of the fides of the figures, together with a given fpace. Let mbe = 2; let a be the number of the fides of the figure de- fcribed about the circle whofe centre is A, 4 the number of the fides of the figure defcribed about the circle whofe centre is B, CD, CE, CF, the perpendiculars to the fides of the firft figure, and CG, CH, CK, CL, the perpendiculars to the fides of the fecond. Jorn the centres A, B, and divide AB in x, fo that AX: BX =46:a, X will be the point required. —2(CD*+-CE?++CF*) = 2a.AM*+a. AC? (theor. 3.). In like manner, 2(CG*+CH?+CK*+CL?) = 24.BN*+4.BC*.. Therefore, 2(CD:+CE*+CF:+CG? +CHE-+CK?+CL? ) = 2a,AM?-+26.BN? “ba. AC:+-0.BC. But, p2 a. AC? 116 DEMONSTRATIONS of a.AC*+6.BC? = (a+b) AX.BX-+ (a+b) CX? (prop. 1.), and 2a.A\M?-+-25.BN*+ (a+) AX.BX are given fpaces. Therefore 2(CD?-++CE*+-CF*+-CG?++CH?+CK?+-CL*) = (a+) CX?++A?, A? being a given fpace. Cor. 2. LeT any number of femicircles be given by pofition, and let an equilateral figure be defcribed about every femicircle, a point may be found, fuch, that if from any point there be drawn perpendiculars to all the fides of the figures, and a ftraight line to the point found, twice the fum of the fquares of the perpendiculars will be equal to the multiple of the fquare of the line drawn to the point found, by the number of all the fides, together with a given f{pace. Cor. 3. Let any number of circles and femicircles be given by pofition, and about every circle and femicircle let an equila- teral figure be defcribed, a point may be found, fuch, that if from any point there be drawn perpendiculars to all the fides of the figures, and a ftraight line to the point found, twice the fum of the fquares of the perpendiculars will be equal to the multi- ple of the line drawn to the point found, by the number of the fides, together with a given fpace. THEOREM VII. Fic. IV. Let there be any number, m, of given points A, B, C, &c. two points X,Y, may be found, fuch, that if from any point D frraight lines be drawn to A, B, C, &c. and to X, Y, - 2(DA?++-DB?+-DG*) = m(DX*+-DY’). Tuls propofition follows directly from theor.6. Let m= 3, and let E be the centre of gravity of the three points A, B,C. The {quares of EA, EB, EC, are given, and confequently a fquare = 4(EA*+EB?+EC’) may be found. On E with the diftance EX equal -Dr STEWART’s THEOREMS. ey equal to the fide of this fquare, defcribe a circle. The extremi- ties X, Y, of any diameter, will be two fuch points as are re- - quired. For DA?+DB?+DC: = EA?+-EB?+EC?+3.ED?, (Theor. 6.). But EA?+EB?+-EC? = 3.EX?’, therefore 2(DA?+DB?+DC?) = 6(EX?+ED?) = 3(DX?7+DyY’) (Prop. 1.). THEOREM IX. Fic. IV. Let there be any number, m, of given points A, B, C, &c. and let a,b, c, &c. be given magnitudes, as many in number as there are given points, two points X,Y, may be found, fuch, that if from any _ point D there be drawn frraight lines to A, B, C, &c. and to X, Y, DA*+—DB'+--— DC &e. = (4) (Dx-+Dy"). TuIs propofition follows, in the fame manner, from theor. 7. Let mbe = 3. Let Ebe a point fuch that DA++— DB*+ ), (Prop. 1.). Or, DA++ —DB++—pe: = (4*)(px+py>. 2a THEOREM X. Fic. V. Let there be anynumber,m, of parallel fraight lines AB,CD, EF, &c. given by pofition, a frraight line XY may be found parallel to them, fuch, that if from any point G, perpendiculars GA, GC, GE, &c. be drawn to AB, CD, EF, &c. and the line GX perpendicular to XY, GA?+GC?+GE? &c. = mGX?+A’, A? being a given fpace. Turis propofition is one of the fimpleft cafes of theor. 6. A line XY parallel to AB, drawn through X, the centre of gravity of the points A, C, E, where a perpendicular from G meets the parallels AB, CD, EF, will be the line required. For, GA?+GC?+GE* = XA?+XC?+ XE*+ 3GX? (Theor. 6.), and XA?+XC?+XE? is a given fpace. THEOREM XI. Fic. VI. Let there be any number, m, of ftraight lines AB, AC, AD, &c. interfefting in a point A, fo as to make all the angles round it equal 5 and from any point E, let perpendiculars EB, EC, ED, &c. be drawn to AB, AC, AD, &c. and let AE be joined, wy 2(EB*++-EC?+-ED? &c.) = m.EA?. Tus Dr STEWART’s THEOREMS. 119 Turs propofition follows directly from the firft cafe of theor. 2. Let m be = 3. The points B,C, D, are in a circle of which EA is the diameter, and therefore (lemma 2.) the arches BC, CD, DB, are equal. Therefore, 2(EB?-+-EC?+ED’) = 4.3.R?. = 3.EA? +. Cor. 1. Iz AB, AC, AD, interfe@ one another in a given point A, and make all the angles round it equal; and if from any point E there be drawn perpendiculars to AB, AC, AD ; and if the fum of the fquares of the perpendiculars be equal to a given fpace, the point E will be in the circumference of a given circle. THE double of the given fpace is m.AE?, therefore AE is given in magnitude, and fince the point A is given, the point E is in the circumference of a given circle. * Cor. 2. Ir the circumference of a circle FGH, of which the radius is R, be divided. into m number of equal parts, by the femidiameters AF, AG, AH, &c. making with any diameter EN the angles FAE, GAN, HAE, &c. twice the fum of the _ fquares of the fines, or cofines of thefe angles will be = mR. Let m be = 3. FK = EB; GL=EC; HM=ED._ Therefore 2(FK? + GL?+HM7?) = 3EA? =.3R?. In the fame manner, AK = AB; AL = AC; AM=AD. Therefore 2(/AK?+AL?+AM?) = Ben = 3R?: * LEMMA TIL. Fic. VII. Let there be a figure ABCD given in fpecies infcribed in a circle, the fraight line EH drawn from E, the centre of the circle, to A, the + Ris the radius of the circle ABC. 120 DEMONSTRAPIONS of the centre of gravity of the figure, will have a given ratio to the Jfemidiameter, and will make given angles with the femidiameters, _ drawn to the angular points of the figure. THE centre of gravity of the figure ABCD is found by bi- fecting AB in F, by joining FC and dividing it in G, fo that CG = 2GF, and by joining GD and dividing it in H, fo that DH = 3HG. Hence, and by joining BD and CA, the lemma will be manifeft. ; For the triangle BFE is right-angled in F, and the angle BEF = ADB, is given. Therefore the ratio of BE, or CE, to EF is given. AGAIN, in the triangle CEF, the angle CEF = BEC+BEF = 2BDC+ADB = a given angle ; and fince the ratio of CE to EF, and of CG to. GF are given, the line EG will divide the triangle CFE into two triangles given in fpecies. Therefore the angle CEG, and the ratio of CE, or DE, to EG, are given. LasTLy, inthe triangle DEG, the angle DEG,= 2DAC+CEG,, is given; and fince the ratio of DE to EG, and of DH to HG, are given, the line EH will divide the triangle DEG into two, triangles given.in fpecies. Therefore the angle DEH, and the: ratio of DE to EH will be alfo given, THEOREM XU. Fic. VIII. Let there be any number, m, of fraight lines AB, AC, AD, AE, &c: given by pofition, interfeGting one another in the point A, two frraight lines AX, AY, may be found, which will be given by poftion, fuch, that if from any point F there be drawn the perpendiculars FB, FC, FD, FE, &c. to AB, AC, AD, AE, &c. and FX, FY, perpendicu- lar to AX, AY, 2(FB?-+-FC?+FD?-+-FE? &c.): = m(FX*+FY?*). LEE vo pace op 8a ae ae pe a > ed met hataegepbie sh eth — * Se dip Dr STEWART’s THEOREMS. 121 Let mbe = 4. Let G be the centre of the circle which paffes through A, B, C, D, E, F, and H the centre of gravity of the figure BCDE. Join GH, and through H draw XHY . perpendicular to GH, meeting the circumference in X, Y, and join GB, GC, GD, GE; HB, HC, HD, HE, HF; AX, AY, FX, FY. Then, by Theor. 6. GB?+GC?+GD:+GE? = 4GB: = HB+HC:+HD:+HE*++4HG". But 4GB? = 4GX* = 4(GH’+XHz?). Therefore alfo, - HB+HC?+HD:+HE++4HG: = 4(HG?+HX?); or, HB?>+HC?+HD?+HE’? = 4HX*. Again, by Theor. 6. FB?+FC?+FD?-+-FE? = HB*?+HC’+HD’?+HE?+4FR?, and therefore, ; FB?+FC?+-FD?+-FE? = 4(FH?+HX?*). That is, 2(FB*++-FC?+-FD?+-FE?) = 8(FH?+HX7) = 4(FX°+FY?), (Prop. 1.). But becaufe the lines AB, AC, AD, AE, are given by pofi- tion, the angles BAC, CAD, DAE, BAE, are given; therefore the angles BGC, CGD, DGE, BGE, which are the doubles of them, are alfo given, and the ifofceles triangles BGC, CGD, _DGE, BGE, are given in fpecies. Confequently, the ratio of the femidiameter GB to each of the lines BC, CD, DE, BE, is given, and therefore the ratios of BC, CD, DE, BE, to one ano- ther, are given; and the angles of the figure BCDE are alfo given, therefore the figure itfelf is given in fpecies. Therefore (Lemma 3.) the ratio of GX to GH is given; and fince the F angle GHX is a right angle, the triangle GHX is given in {pe- cies. Therefore the angles XGH, YGH, are given. But BGH is given, (Lemma 3.) ; therefore BGX, BGY, and their halves BAX, BAY, are alfo given; and fince BA is given by pofition, and the point A, the lines AX, AY, are alfo given by pofi- tion, Vou. II. g Bur 122 DEMONSTRATIONS of Bur FX, FY, are perpendicular to AX, AY, and it has been fhewn that 2(FB*+-FC?+FD?+-FE*) = 4(FX°+FY?). There- fore AX, AY, are the two lines required to be found. THE conftruction is obvious, by affuming a point F, which, for the greater fimplicity, may be in one of the given lines, and by defcribing the figure as above. * Cor. Ir from any point parallels be drawn to AB, AC, AD, AE, and:to AX, AY, cutting the perpendiculars FB, FC, FD, FE, and FX, FY, in J, c,d, ¢, and in x, y, 2(FO+-Fe*-++Fa?+Fe?) = 4(Fx*-+Fy’). * LEMMA IV. Fic. IX. Let AB, AC, be two fraight lines given by pofition, interfecting one another in the point A, and from any point D let DB, DC, be drawn perpendicular to AB, AC; let CB be joined, and bifetted in B, and from E let EF be drawn parallel, and equal to a given firaight line; through F let GFH be drawn to meet DB and DC, fo as to be bifeétted in F, and through G and Hi let GK, HK, be drawn parallel to AB, AC: the lines GK, HK, will be given by pofition. TurovuGu F draw LM parallel to BC, and through B-and C draw BL and CM parallel to EF; join GL, HM; from A draw AN parallel and equal to EF ; join LN, MN; through N draw OP parallel to GL; and join AO, AP. Because GF = FH, and LF = FM, GL will be equal - and parallel to HM ; and becaufe AN is equal and parallel to BL and to CM, the figures AM and AL are parallelograms. Therefore NL is parallel to GK, and NMto HK. Therefore NG and NH are parallelograms,and OG = NL = AB; hence AO is perpendicular to GK; and, in the fame manner, AP is perpen- dicular Pee ee me Dr STEWART’s THEOREMS. 123 dicular to HK. Therefore NO = LG = HM = NP. But the angle OAP is given, being the fupplement of OKP; and fince the point N is given, and NO = NP, the points O and P are given ; andtherefore AO and AP. Therefore the lines GK, HK, are given by pofition. THEOREM XI. Fic. X. No. 1. Let there be any number, m, of ftraight lines AB, BC, CD, DA, &c. given by fpofition, neither all parallel nor interfeGling in one point, two ftraight lines XY, XZ, may be found, which will be given by pofition, fuch, that if from any point E, there be drawn per- pendiculars EF, EG, EH, EK, &c. to AB, BC, CD, DA, &c. and EY, EZ, perpendicular to XY, XZ, 2(EF?>+EG:+-EH?+-EK? &c.) = m(EY?++EZ*)+A’, A? being a given fpace. Let m = 4, and from C, one of the points of inter- fection, draw Cf, C&, parallel to the lines given by pofition that do not interfe@ in C. Let two ftraight lines CL, CM be found, fuch, that 2(Ef?+EG?+-EH?+-E#’) = 4(EL*+-EM?), (Theor. 12.). Let N be the centre of gravity of the four points F, G, H, K, (Theor. 6.). Through N draw YNZ to meet EL, EM in Y, Z, and fo as to be bifected in N. Through Y and Z draw YX, ZX perpendicular to EL, EM, interfecting each other in X. From X draw XP, XQ, XR, XS, perpendicular, and Xa, X4é, Xc, Xd, parallel to AB, BC, CD, DA; let Xa, Xb, Xc, Xd, meet EF, EG, EH, EK, ina, 4,c,d; join XF, XG, XH, XK; NF, NG, NH, NK, NX; and let O be the centre of gravity of the four points f, G, H, 4, where the parallels from C, to the lines given by pofition, meet the perpendiculars from E. g 2 By 124 DEMONSTRATIONS of By theor. 6. 2(XF*+XG?+XH*-+ XK’) = 2(NF?4+-NG?+NH? -+NK?)+8NX*. But 2(XF*>+XG?+XH?+XK?’) = 2(XP°-+XQ?4+XR++XS")+2(Xa*+Xs*4+Xe+Xd*). Therefore 2(NF*4+-NG?--NH?+NK’)+8NX? = 2(XP*+-XQ°?+XR*+XS?)-+ 2(Xa*+Xo?+Xe?+Xa’). But fince, 2(Ef--++-EG?+EH?+E#) = 4(EL*+EM?’), and from the point X parallels to Cf, CG, CH, Cé, and to CL, CM, are drawn, cutting the perpendiculars from E, to thefe lines, in a, 4, c, d, and in Y, Z, therefore, by Cor. Theor. 12. 2(Ea*+-Ed*+-Ec*+-Ea*) = 4(EY*+EZ*), and confequently 2(Xa*+Xo°4+Xc+Xa?) = 4(X¥*++XZ?) = 8(NY’+NX*), (Prop. 1.). ‘Therefore, 2(NF?-+NG?+-NH?+NK?’) = 2(XP*++XQ?+XR*+XS")+ 8NY?. But by Theor. 6. 2(EF*+EG:++EH?+EK’) = 2(NF++NG?+NH?+NK?’)+ 8NE?. Therefore, 2(EF?+EG?+EH?+EK?) = 2(XP*+XQ?+XR*+XS")+ 8(NY?+-NE’) ; or, 2(EF?+-EG?+EH?+EK?’) = 2(XP?+XQ?+XR?+XS’)+ 4(EY?++EZ?), (Prop. 1-). Ir remains to demonftrate that X is a given point, and that XY, XZ, are lines given in pofition. Tue point O may be found, by bifecting (Fig. X. No. 2.) GH in g, joining gé, and dividing it in m, fo that gm = 3gé, and joining fm and dividing it in O, fo that mO = jmf; and in the fame manner the point N may be found by joining gK, and making gv = 4gK, and joining #F, and making aN = 4nF; let mu be joined, through O draw Of, and through N draw Ng, both parallel to EF, and meeting mz in p, g; let EF meet ma in r, join ON, and through O draw Os parallel to mm, meeting — Ng ins. Tuen becaufe gm = 3gh, and gn = 9K, the line mn is parallel and equal to zK4. Becaufe alfo Nz = 3Fa, Ng = 4Frs and. Dr STEWART’s THEOREMS. 125 and for the fame reafon OP = $/r. Therefore fg. = Os = 3mn = 1K&. But the angle OsN is given, for itis equal to REF; and fince Os is given, and Ns = Ng—sg, NO is alfo given. But (Fig. ro. No. 1.) fince the lines CL, CM, inter- feGting in the point C, are given by pofition, and from the ‘point E there are drawn to them the perpendiculars EL, EM, and LM is joined, and bifected in O, and from O there is drawn a ftraight line ON given both by pofition and magni- tude, and YNZ is drawn through N to meet EL, EM in Y, Z, and fo as to be bifeéted in N, and from Y and Z, YX, ZX are drawn parallel to CL, CM; therefore, by Lemma 4.. YX, ZX are given by pofition; and confequently the point X, of their interfeGtion is given, and therefore alfo XP, XQ, XR, XS. But EY, EZ, are perpendicular to XY, XZ; and it has been proved that 2(EF?+EG?+EH?+EK?) = 4(EY?+EZ?)+ 2(XP?+XQ’+XR?+XS?), and thefe four laft fquares. are given. Therefore XY, XZ, are the two lines required to be found, and 2(EF?+-EG?+-EH?+EK?) = 4(EY?--EZ?)+A?. Tue point X, found in this propofition, is the centre of gra- vity of the four points P, Q, R, S, where perpendiculars, drawn from it, meet the four lines given by pofition. It is alfo a point, fuch, that the fum of the fquares of the perpendiculars drawn from it, to the lines given by pofition, is a minimum. Cor. Ir the ftraight lines (Fig. 11.) AB, BC, CA, be fo fi- tuated as to form an equilateral figure about a circle, or a femi- circle ; or if the number of the lines given by pofition be even, and every two and two.interfect each other at right angles, the two lines XY, XZ, that may be found, will interfeé each other at right angles. Ler the lines AB, BC, CA, that are given by pofition, form an equilateral triangle. Let X be the point in that triangle, which is the centre of gravity of the three points K, L, M, where: 126 DEMONSTRATIONS of where perpendiculars drawn from it, meet the lines given by pofition ; and from X let parallels be drawn to thefe lines, meeting the perpendiculars from any point E in f, g, & Since thefe parallels Xf, Xg, X4, interfect one another in the point X, fo as to make all the angles round it equal, they will divide the circumference of the circle which paffes through X and E, into three equal arches /g, gh, bf, (Lemma 2.). Therefore N, the centre of the circle, is the centre of gravity of the three points 7, g, 4, and the line YZ, pafling through N, and meeting the circumference, will be a diameter of the cir- cle, and therefore YXZ is a right angle. 2HEOREM Aly. Fic. XII. tee. Let any number, m, greater than 3, of ftraight lines be given by pofition, three ftraight lines may be found, which will be given by . pojition, fuch, that if from any point there be drawn perpendiculars to the lines given by pofition, and to the three lines found, thrice the Jum of the fquares of the perpendiculars to the lines given by pofition, will be equal to the fum of the fquares of the perpendiculars drawn to three lines found, multiplied by the number m. Let mbe = 4. Cafe1. WueEn the lines (Fig. 12.) AF, BG, CH, DK, given by pofition, are all pasallel. Let a perpendicular from any point E meet the parallels in the points A, B, C, D, and let L be the centre of gravity of thefe points. Affume in AL any point X, and let Y and Z, on the oppofite fide of L, be fuch, that LY+LZ = LX, and alfo LX*+LY*+LZ? = }(LA?+LB*+ LC*+LD7’) ; then if the affumed point X be given, the points Y and Z will alfo be given. Draw through the points X, Y, Z, {traight lines parallel to AF, and they will be the lines required. Ir \ Dr STEW ART's THEOREMS. 127 Ir is plain that L is the centre of gravity of the points X, Y, Z, and becaufe it is alfo the centre of gravity of the points A, B, C, D, 3(EA2--EB*+EC*++ED") = 3(LA?+-LB*++LC:+LD*)+ 3-4.EL?, (Theor. 6:); and, for the fame reafon, A(EX*HEY*FEZ*) = 4(LX++LY+LZ/)+4.3-EL* But by conftruction, 3(LA?+LB+LO*+LD*) = 4(LX?+LY?+LZ?). Therefore, 3(EA?+EB?-+EC’+ED*) = 4(EX?+EY?+EZ*). Cafe 2. Wuew the lines (Fig. 13.) AB, AC, AD, AE, given by pofition, interfect one another in the fame point A. Let G be the centre of gravity of the four points B, C, D, E, in the circumference of the circle of which AF is the diameter, (Theor. 6.), and let AH, AK, be two lines, whofe pofition is given, fuch, that 2(FB?+FC?+FD?+FE*) = 4(FH?+FK?), (Theor. 12.). From any point X in the circumference draw, through G, the line XGL, fo that XG = 2GL; and through L draw YLZ to meet the circumference in Y, Z, and fo as to be bifeG@ted in L. Join AX, AY, AZ, and FX, FY, FZ. 3(FB*+-FC?+FD*+FE*) — 6(FH?+FK’), (Theor. 12.), and 4(FX?+FY*+FZ") = 6(FH?+FK*) = 3(FB?--FC?+FD? +-FE?). Therefore AX, AY, AZ, are the three lines required to be found. Cafe 3. Wuen the lines (Fig. 14. No. 1.) AB, BC, CD, DA, are ‘not parallel, and do not interfect one another in the fame point. Ler X be a point fo related to the lines AB, BC, CD, DA, that it fhall be the centre of gravity of the four points L, M, N, O, where they are interfe@ted by the perpendiculars XL, XM, XN, XO, drawn to them from X, (Theor. 13.) ; and let XP, XQ, XR, XS, be drawn from X parallel to AB, BC, CD, DA, and let them meet the perpendiculars to thefe lines, from E, in P, 128 DEMONSTRATIONS of P,Q. R, S. Let Xa, XS, Xe, be three ftraight lines, fuch, that 3(EP?-++-EQ?+ER?+ES?) = 4(Ea?+-Es?+Ec?), (Cafe 2. of this). Defcribe a triangle def, (Fig. 14. No. 2.) having the angle def= aX, and the angle dfe = bXc. Let g be a point in that triangle, fuch, as to be the centre of gravity of the three points 4, &, /, where perpendiculars drawn from it meet the fides, (Theor. 13.) Defcribe a fquare = 3(XL*+XM?+XN?+ HO’), and divide it into three fquares whofe fides Xm, Xn, Xo, fhall have the mutual ratios of gh, gk, gl. Through X draw Xm, Kn, Xo, perpendicular to Xa, Xd, Xc, and through m, n, 0, draw mp,ng,qp, perpendicular to Xm, Xn, Xo, and meeting Ea, Ed, Ec, in x, y, We have, by Theor. 13. 3(EF?+EG?+EH*+EK?) = 3(EP?+EQ’?+ER?+ES?)+ 3(XL?+XM?+XN?+X07), and alfo 4(Ex?+Ey?+Ex?) = 4(Ea?+Eb?+Ec?)+4(Xm*?+Xn?+Xo?). But by conftruction, : 3(EP?+EQ?*+ER?+ES*) = 4{Ea*+Es?+Ec?), and by Cafe 2. of this, 3(XL*+XM’+XO?+XN?’) = 4(Xm?+Xn?4+Xo?), Therefore, 3(EF?+EG?+EH*+EK?) = 4(Ex*+Ey?+Ez’). Therefore mp, ng, 7p, are the lines required to be found. Tue three lines found in this Theorem are determined, in their pofition, only relatively to one another, and not abfolutely ; becaufe, in the conftruction of each of the cafes, an arbitrary fuppofition is unavoidably introduced, and of confequence there are innumerable fets of lines, within certain limits however, that all equally anfwer the conditions required in the propofi- tion. When one of thefe is affumed as given in pofition, the other two are neceflarily determined. Tue four propofitions which follow in Dr SrEwart’s book are extenfions of four that have already been demonftrated here, viz. the roth, rath, 13th and 14th; and are related to them juft as the 7th of the preceding is to the fixth, or the gth to the 8th. The purpofe of them is to apply what has been demonttrated Dr STEWART’s THEOREMS. 129 demonftrated of the fquares of the perpendiculars in Prop. To. &c. to any reCtilineal figures whatever, each given in fpecies, defcribed on thofe perpendiculars. THEIR demonftrations are all derived in the fame manner from thofe of their correfponding propofitions, and it will there- fore be fufficient, at prefent, to give the demonftration of one of them. I have made choice of the 16th, as the 15th is only the fimpleft cafe of the 7th, viz. when all the points given, in that Theorem, are in the fame ftraight line. THEOREM XVI. Fic. VIII. Let there be any number, m, of ftraight lines AB, AC, AD, AE, &c. given by pofition, interfetting one another in the point A, and let a, b,c, d, &e. be given magnitudes, as many in number as there are lines. given by pofition, two ftraight lines AX, AY, may be found, which will be given by pofition, fuch, that if from any point F there be drawn FB, FC, FD, FE, &c. perpendicular to AB, AC, AD, AE, &c. and FX, FY, perpendicular to AX, AY, FB — FC+ © FD SFE &e. = HE py py), Let m = 4. Let G be the centre of the circle which paffes through the points A, B, C, D, E and F; and let H be the cen- tre of gravity of weights proportional to the magnitudes a, 4, ¢, d, placed at the points B,C, Dand E. Join GH; and let XY, at right angles to GH in H, meet the circumference of the circle ABDF in X and Y: AX, AY, are the lines required to be found.. For it may be fhown, juft as in Theor. 12. by means of a lemma fimilar to the 3d, that AX and AY make given angles Vou. II. r with 130 DEMONSTRATIONS of with AB, and are therefore given in pofition, But by Theor. J- GB+—cc-+—cp4+2¢om = Hex, — b c a c HB} --HC:++—-HD+ HE = “Mor, Now, atbtct+d at+b+e “cx = SiWiericy) = — —; — (GH?+HX’), by Prop. 1. Therefore, HB+--HO+—HD4+—HE: = tty. Acatn, by Theor. 7. FB} FC FD?+-4 FE! = b c d a c HB:-+ oe HC+ ZAD*-+- "a HE?+ oF 3 therefore, FB es FC? — FD {EE san nh (HX+-HF), or, fince: HXHF = (FHF), FB e+ 9p 42 FE = Se +FY’). e. Cor. Ir from any point, as F, ftraight lines be drawn in given angles to the lines which are given by pofition, and which interfect in one point, two ftraight lines may be found which will be given: by pofition, fuch, that if perpendiculars from F be drawn to them, the fum of the fquares of the lines drawn in given an- gles, will be equal to the fpace to which the fum of the {quares. of the perpendiculars bas a given ratio. Tuis Dr STEWARTs THEOREMS. 130 Turs corollary is evident, becaufe the lines drawn from F, making given angles with AB, AC, &c. will have given ratios to the perpendiculars FB, FC, &c. 'Tue 17th Theorem is, That if a, b, c, &c. be any magnitudes as above, and if the figure be conftruéted as in Theor. 13. (Fig. 10.), EF*+— EG: EH?4+- EK? &c, = SEES (py: 4 EZ?)+-A*, A* being a given fpace. This is demonftrated from its relation to the 13th, in the fame manner with the preceding, and fo alfo is the 18th from the 4th. The 18th is, That if a, b, ce, &c. be any given magnitudes, and if the fame things be fup- pofed as in Theor. 14. (Fig. 14.) three firaight lines mp, ng, 9p; may be found, fuck, that EF+ —EG*+—+EH'+ © EK, &e. = ee (Ee +Ey'+ Ex"), WE proceed now to a propofition that relates to the fourth powers of the perpendiculars. THEOREM XXVII. Fic. XV. Let there be any number, m, of given points A, B, C, &c. two frraight lines may be found, which will be given by pofition, and like- wife a point D, fuch, that if from any point EK, there be drawn EY, EZ, perpendicular to the two lines found, and if EA, EB, EC, &c. and ED be joined, then, (making A* = a given fpace, and B* = the fourth power of a given line,) AE‘*+BE*+CE* &c. = mDE*+A?(EY*++EZ’)+B*. r2 LET 132 DEMONSTRATIONS of Let mbe = 3. Let D be the centre of gravity of the three points A, B, C; join AD, BD, CD; from E draw EF, EG, EH perpendicular to AD, BD, CD; in AD take DK = $AD, in BD take DL = 3BD, andia DC take DM = DC. Then, AE? = DE?+AD?—2AD.DF BE? DE’?+BD:+2BD.DG CE? DE?+CD?—2CD.DH. Therefore, AE* = DE*+2AD*,.DE?—4AD?.DF+AD*— 4DE*.AD.DF + 4AD?.DF?. BE* = DE*+2BD?.DE?+4BD:.DG+BD*+4DE?.BD.DG+ 4BD?.DG?. CE* = DE*+2CD’.DE*-—4CD?.DH+CD*—4DE.CD.DH-+- 4CD?>.DH?. But becaufe D is the centre of gravity of the three points A, B, C, AD.DF+CD.DH = BD.DG. Therefore, making AE*+BE*+CE* = S*, we thall have AD>.DE? —AD?}.DF ja $:=yDB"44{ DDE CD>. DE? —CD*.DH CD:.DH? CD* But DE? = EF*+DF? = EG?+DG? = EH*+DH’. There- fore, AD?.EF? AD? DF? —AD?.DF pe dnnswuiiiaa scseae Galaeet +44 BD?.DG p-+5 BD* ¢. D4 cb.EH) lcp.pH) ‘l—cp:.pH) Ic AD?. EF? AD*(6DF*—4AD.DF+AD*) Or, S* = 3DE‘+4-2) BD*.EG? +) AD\GDG-+4D.DG+BD) i lop ER CD:(6DH*—4CD.DH+CD’) But 3DK = AD; 3DL=BD, and 3DM=CD;; and confe- quently gDK? = AD’, 9gDL* = BD’, and gDM* = CD». Therefore, S*= 3DE*+ ADE] {AD(6DP—12DK.DF+6DK’) ]_(3DK*-AD") 2] abn + BD:(6DG*++12DL.DG+6DL ) #50, \ cp.EH:)) lcp(6DH»—12DM.DH+6DM:)! (ypme.cpJ Or, ADDF) (AD*) + BD?.DG ete +4 BD*. Dr STEWART’s THEOREMS. 133 AD>. EF? AD:.FK? AD* Or,S*= sDE*+2)BD-EC+| +65] BDL: | [BD: \ CD?.EH? CD:.MH? CcD* Jorn EK, and on it as a diameter defcribe the circle KFPENQ, draw the diameter FN and divide it in O, fo that FO = 30N, ‘and through O draw PQ _ perpendicular to FN, meeting the circumference in P, Q; and join KP, KQ; EP, EQ. In the fame manner, join EL, and on it as a diameter defcribe the circle GVLRTE, draw the diameter GR, and divide it in S, _ fo that GS = 3SR; through S draw TV perpendicular to GR, meeting the circumference in T,V; and join LT, LV, ET, EV. In the fame manner alfo join EM, and on it as a diame- ter defcribe the circle HZEXaM, draw the diameter HX, and divide it in Y, fo that HY = 3YX; through Y draw Za per- pendicular to HX, meeting the circumference in Z,a; and join MZ, Ma, EZ, Ea. Then, FK = EN; LG = ER; and MH = EX. Therefore, AD+.EF? cap eel, ADs 8* = sDEt42) DEC +6 BD:.ER? t+ b+} But CD:.EH? CD?.EX? lep* 2EF?+6EN’?=8FO.ON-+8EO*=8(OP?-+EO?)=4(EP*-++EQ’). In the fame manner, 2EG?++6ER* = 8GS.SR+8ES? = : 8(TS?++ES?) = 4(ET?+EV’). In the fame manner alfo, 2EH?+6EX? = 8HY.YX+8EY? = 8(ZY?7+EY?) = 4(EZ?+Ea?). Therefore, AD?(EP?+-EQ?) fAD* es SDE‘ D*(ET = HEV") +4 Bp*} Since then there CD?(EZ?+-Ea?) CD* are fix ftraight lines KP, KQ, LT, LV, MZ, Ma, given by pofi- tion, and given quantities 4AD*, 4AD?, 4BD?, 4BD?, 4CD?, ~4CD?, as many in number as there are lines given by pofition, therefore, by Theor. 17. two ftraight lines, xy, xz, may be found, which will be given by pofition, fuch, that if from the point 134 DEMONSTRATIONS of, &c. point E, the perpendiculars EP, EQ, ET, EV, EZ, Ea, be drawn to KP, KQ, LT, LV, MZ, Ma, and if the perpendiculars Ey, Ez, be drawn to xy, xz, 4AD?.EP?+4AD?.EQ?+4BD?.ET?+4 4BD?.EN?+4CD?.EZ?+4CD?.Ea? = 8(AD?+BD?+CD?)(Ey?+Ex?)+e*. Therefore, S* = 3DE*+A?(Ey?+Ex?)-+a*+3(AD*+BD*+CD‘). Or, S* = 3DE*+A7(Ey?+Ez?)+B*. Therefore xy, «z, are the lines, and D the point, required to be found. if THEOREM XXVIII. Let there be any number, m, of given points A, B, C, tc. and let a, b, c, &Sc. be given magnitudes, as many in number as there are given points, two fraight lines, xy, xz, may be found, which will be given by pofition, and likewife a point D, fuch, that if from any point E, there be drawn perpendiculars Fy, Ex, to the two lines found, and if EA, EB, EC, ED, be joined, AE?+—-BE?+—CE*&e. = **"" pe 442 (Ey* Es?) +B. Tue inveftigation is perfectly fimilar to the former; only the © point D is not the centre of gravity of the points A, B, C, &c. but, as in Theor. 7. the centre of gravity of weights, fuppofed to be placed in thofe points, and proportional to the magnitudes Bil, Cy BOs Tue univerfality of the preceding demonftrations is no way affected by our having always fuppofed m equal to fome parti- cular number, becaufe the reafoning is the fame, whatever va- lue be affigned to it, XI. I. To fold out, facing page 134. Phyf.C2.] [PLATE “ . w 7 ; 2 ‘ a a ~ 9 £ T Pn 7 x } ty ieee ee — » a , & wees " uy 2 " } bs - F si = ’ - my é , 4 U - % . ‘ia sf Fe ; ie 7 (Puate IIL. Zo fold out, facing page i 34. Phyf. Gi.) ‘ F Sf Cole XIII. Remarks on the ASTRONOMY of the BRAUMINS. By Foun PLarFratR, A.M. F.R.S. Epin. and Profeffor of Mathematics in the Univerfity of Edinburgh. [Read by the Author, March 2. 1789. | 3. (‘INCE the time when Aftronomy emerged from the - obfcurity of ancient fable, nothing is better known: than its progrefs through the different nations of the earth. With the era of NABoNASsAR, regular obfervations began to be made in Chaldea; the earlieft which have merited the attention of fucceeding ages. The curiofity of the Greeks was, foon after, directed to the fame objet; and that ingeni- ous people was the firft that endeavoured to explain, or connect by theory, the various phenomena of the heavens. This _ work was fuppofed to be fo fully accomplifhed in the Syntaxis- of Protemy, that his fyftem, without oppofition or improve- ment, continued, for more than five hundred years, to dire& the Aftronomers of Egypt, Italy and Greece. After the fciences: were banifhed from Alexandria, his writings made their way into the eaft, where, under the Caliphs of Bagdat, Aftrono- my was cultivated with diligence and fuccefs. The Perfian: Princes followed the example of thofe of Bagdat, borrowing befides, from Trebifond, whatever mathematical knowledge was: ftill preferved among the ruins of the Grecian empire: The con- quefts of Grneis, and afterwards of Timour, though they re- tarded, did not {top the progrefs of Aftronomy in the eaft. The gtandfons of thefe two conquerors were equally renowned for their 136 REMARKS on the their love of fcience: Huxacu reftored Aftronomy in Perfia, and U.ucu-seicn, by an effort ftill more fingular, eftablifhed itin Tartary. In the mean time, having paffed with the Arabs into Spain, it likewife found, in ALPHONso of Caftile, both a difciple and a patron. It was carried, foon after, into the north of Europe, where, after exercifing the genius of CoPpERNicus, of Kepier, and of NewTon, it has become the moft perfect of all the fciences. 2. In the progrefs which Aftronomy has thus made, through almoft all the nations, from the Indus to the Atlantic, there is {carce a ftep which cannot be accurately traced ; and it is never difficult to determine what each age, or nation received from another, or what it added to the general ftock of aftronomical knowledge. The various fyftems, that have prevailed in all thefe countries, are vifibly connected with one another ; they are all derived from one original, and would incline us to be- lieve, that the manner in which men begin to obferve the hea- vens, and to reafon about them, is an experiment on the human race, which has been made but once. Ir is, therefore, matter of extreme curiofity to find, beyond the Indus, a fyftem of aftronomical knowledge that appears to make no part of the great body of fcience, which has traverfed, and enlightened the other countries of the earth; a fyftem that is in the hands of men, who follow its rules without underftand- ing its principles, and who can give no account of its origin, except that it lays claim to an antiquity far beyond the period, to which, with us, the hiftory of the heroic ages is fuppofed to extend. : 3. We owe our firft knowledge of this aftronomy to M. LA LouBERE, who, returning, in 1687, from an embaffy to Siam, — brought with him an extra@t from a Siamefe manufcript, which — contained tables, and rules, for calculating the places of the fun and moon *. The manner in which thefe rules were laid down ® Mem. de |’Acad. des Sciences, tom. 8, p. 281. &c. s Wie a 4 gat ASTRONOMY of the BRAHMINS. 137 ‘down, rendered the principles, on which they were founded, ex- tremely obfcure ; and it required a commentator, as converfant with aftronomical calculation as the celebrated Cass1N1, to ex- plain the meaning of this curious fragment. After that pe- riod, two other fets of aftronomical tables were fent to Paris, by the miffionaries in HinpDostan ; but they remained un- noticed, till the return of M. te Genrit from India, where he had been to obferve the tranfit of Venus in 1769. ‘[his Aca- demician employed himfelf, during the long ftay, which his zeal for fcience induced him to make in that country, in ac- quiring a knowledge of the Indian aftronomy. The Brahmins thought they faw, in the bufinefs of an Aftronomer, the marks of a Caf, that had fome affinity to their own, and began to converfe with M. te GenTiL, more familiarly than with other ftrangers. A learned Brahmin of Tirvalore, having made a vifit to the French Aftronomer, inftructed him in the methods, which he ufed for calculating eclipfes of the fun and moon, and . communicated to him the tables and rules, that are publifhed in the Memoirs of the Academy of Sciences, for 1772. Since that time, the ingenious and eloquent author of the Hiftory of Aftronomy, has dedicated an entire volume to the explanation, _-and comparifon of thefe different tables, where he has deduced, from them, many interefting conclufions*. The fubjeét indeed merited his attention ; for the Indian aftronomy has all the pre- cifion neceflary for refolving the great queftions, with refpe@ to _ its own origin and antiquity, and is by no means among the ‘number of thofe imperfect fragments of ancient knowledge, which can lead no farther than conjecture, and which an Aftro- nomer would gladly refign to the learned refearches of the An- tiquary, or the Mythologift. 4. IT is from thefe fources, and chiefly from the elaborate inveftigations of the laft mentioned work, that I have feleGted Vou. Il, - JS the * Traité de ?Aftronomie Indienne et Orientale, par M. Barnuy. Paris, 1787. 138 REMARKS on the the materials of the paper, which I have now the honour to lay be- fore this Society ; and it is perhaps neceffary that I fhould make fome apology for-prefenting here, what can have fo little claim. to originality. The faét is, that notwith{tanding the moft pro- found refpect, for the learning and abilities of the author of the 4/ronomié Indienne, | entered on the ftudy of that work, not without a portion of the fcepticifm, which whatever is new and extraordinary in fcience ought always to excite, and fet about verifying the calculations, and examining the reafonings in it, with the moft {crupulous attention. The refult was, an entire conviction of the accuracy of the one, and of the folidity of the other; and I then fancied, that, in an argument of fuch variety, I might perhaps do a fervice to others, by pre- fenting to them, that particular view of it, which had ap- peared to me the moft ftriking. Such, therefore, is the ob- je&t of thefe remarks; they are directed to three different points: The firft is to give a fhort account of the Indian aftronomy, fo far as it is known to us, from the four fets of tables above mentioned; the fecond, to ftate the principal arguments, that can be deduced from thefe tables, with refpeé. to their antiquity ; and the third, to form fome eftimate of the geometrical fkill, with which this aftronomical fyftem is con- ftruted. In the firft, | have followed M. Barty clofely ; in the fecond, though I have fometimes taken a different road, I have always come to the fame conclufion 5 having aimed at nothing fo much, as to reduce the reafoning into a narrow compafs, and to avoid ‘every argument that is not purely aftronomical, and independent of all hypothefis ; in the third, I have treated of a queftion which did not fall within the plan of M. Bartry’s work, but have only entered on it at prefent, leaving to fome: future opportunity, the other difcuffions to which it leads. 5. THe aftronomy of India, as you already perceive, is ‘con fined to one branch of the fcience. It gives no theory, nor even any defcription of the celeftial phenomena, but fatisfies itfelf ASTRONOMY of the BRAHMINS. 139 itfelf with the calculation of certain changes in the heavens, "particularly of the eclipfes of the fun and moon, and with the rules and tables by which thefe calculations muft be performed. The Brahmin, feating himfelf on the ground, and arranging his fhells before him, repeats the enigmatical verfes that are to guide his calculation, and from his little tablets of palm leaves, takes out the numbers that are to be employed in it. He ob- tains his refult with wonderful certainty and expedition ; but having little knowledge of the principles on which his rules are founded, and no anxiety to be better informed, he is perfectly fatisfied, if, as it ufually happens, the commencement and duration of the eclipfe anfwer, within a few minutes, to his prediction. Beyond this his aftronomical enquiries never extend ; and his obfervations, when he makes any, go no far- ther than to determine the meridian line, or the length of the day, at the place where he obferves. Tue objects, therefore, which this aftronomy prefents to us, are principally three. 1. Tables and rules for calculating the places of the fun and moon: 2. Tables and rules for calcu- lating the places of the planets: 3. Rules by which the phafes of eclipfes are determined. Though it is chiefly to the firft of thefe that our attention at prefent is to be direCted, the two laft will alfo furnifh us with fome ufeful obfervations. 6. THe Brahmins, like all other Aftronomers, have diftin- guilhed from the reft of the heavens, that portion of them, through which the fun, moon and planets continually circulate. They divide this fpace, which we call the zodiac, into twenty- feven equal parts, each marked by a group of ftars, or a con- ftellation*. This divifion of the zodiac is extremely natural in the infancy of aftronomical obfervation ; becaufe the moon completes her circle among the fixed ftars, nearly in twenty- feven days, and fo makes an actual divifion of that circle fiz into * Mem. fur l’Aftronomie des Indiens, par M. te Gentiz, Hift. de !’Acad. des Scien. 1772, Il. P. 207. The phrafe which we here traullate conflel/ations, fignifies the places of the moon in the twelve figns. 140 REMARKS on the into twenty-feven equal parts. The moon too, it muft be re- membered, was, at that time, the only inftrument, if we may fay fo, by which the pofitions of the ftars on each fide of her path could be afcertained ; and when her own irregularities were unknown, fhe was, by the rapidity of her motion eaft- ward, well adapted for this purpofe. It is alfo to the phafes of the moon, that we are to afcribe the common divifion of time into weeks, or portions of feven days, which feems to have prevailed almoft over the whole earth*. The days of the week are dedicated by the Brahmins, as by us, to the feven planets, and what is truly fingular, they are arranged precifely in the fame order. 7. WiTHu the conftellations, that diftinguifh the twenty-feven equal f{paces, into which their zodiac is divided, the Aftronomers of India have connected none of thofe figures of animals, which are among us, of fo ancient, and yet fo arbitrary an ori- ginal. M. ve GenrTix has given us their names, and configu- rations |. They are formed, for the moft part, of {mall groups of ftars, fuch as the Pleiades or the Hyades, thofe belonging to the fame conftellation being all conneéted by ftraight lines. The firft of them, or that which is placed at the beginning of their zodiac, confifts of fix ftars, extending from the head of Aries to the foot of Andromeda, in our zodiac, and occupying a fpace of about ten degrees in longitude. Thefe conftellations are far from including all the ftars in the zodiac. M. LE GENTIL remarks, that thofe ftars feem to have been felected, which are beft adapted for marking out, by lines drawn be- tween them, the places of the moon in her progrefs through the heavens. At the fame time that the ftars in the zodiac are thus ar- ranged into twenty-feven conftellations, the ecliptic is divided, as with us, into twelve figns of thirty degrees each. This di- vifion * Mem. Acad. des Scien. 1772. I. P. 189) + Ibid. 209. ASTRONOMY of th BRAHMINS. 141 vifion is purely ideal, and is intended merely for the purpofe of, calculation. ‘The names and emblems by which thefe figns — are expreiled, are nearly the fame as with us *; and as there is nothing in the nature of things to have determined this coin- cidence, it muft, like the arrangement of the days of the week, be the refult of fome ancient and unknown: communi- cation. 8. TuaT motion by which the fixed ftars all appear to move eaftward, and continually to increafe their diftance from the place, that the fun occupies at the vernal equinox, is known to the Brahmins, and enters into the compofition of all their ta- bles +. They compute this motion to be at the rate of 54” a- year ; fo that their annus magnus, or the time in which the fixed ftars complete an entire revolution, is 24,000 years. This mo- tion is too quick by fomewhat lefs than 4” a-year; an error that will not be thought great, when it is confidered, that ProLemy committed one of 14”, in determining the fame quantity. ANOTHER circumftance, which is common to all the tables, and, at the fame time, peculiar to the Indian aftronomy, is, that they exprefs the longitude of the fun and moon, by their diftance from the beginning of the moveable zodiac, and not, as is ufual with us, by their diftance from the point of the vernal equinox. The longitude is reckoned in figns of 30°, as already mentioned, and each degree is fubdivided into 60’, &c. In the divifion of time, their arithmetic is purely fexagefimal : They divide the day into 60 hours, the hour into 60 minutes, ‘c.; fo that their hour is 24 of our minutes, their minute 24 of our feconds, and fo on.. 9. THESE * Mem. Acad. des Scien. 1772. Il. P. 200. The zodiac they call /odt-mandalam, ox the circle of ftars. + Ibid. 194. Aft. Indienne, p. 43, &ee 142 REMARKS on the g. THESE remarks refer equally to all the tables. We are now to take notice of what is peculiar to each, beginning with thofe of Siam. In order to calculate for a given time, the place of any of the celeftial bodies, three things are requifite. The firft is, the pofition of the body in fome paft inftant of time, afcertained by obfervation ; and this inftant, from which every calculation mutt fet out, is ufually called the epoch of the tables. The fe- cond requifite is, the mean rate of the planet’s motion, by which is computed the arch in the heavens, that it mutt have defcribed, in the interval between the epoch and the inftant for which the calculation is made. By the addition of this, to the place at the epoch, we find the mean place of the planet, or the point it would have occupied in the heavens, had its motion been fubjeét to no irregularity. The third is, the correCtion, on account of fuch irregularity, which muft be added to the mean place, or fubtracted from it, as circumftances require, in order to have the true place. The correction thus made is, in the language of aftronomy, called an equation; and, when it arifes from the eccentricity of a planet’s orbit, it is called the equation of the centre. 10. Tue epoch of the tables of Siam does not go back to any very remote period. M. Cassini, by an ingenious analyfis of their rules, finds that it correfponds to the 2: {t of March, in the year 638 of our era, at 3 in the morning, on the meridian of Siam *. This was the inftant at which the aftronomical year be- gan, and at which both the fun and moon entered the moveable zodiac. Indeed, it is to be obferved, that, in all the tables, the aftronomical year begins when the fun enters the moveable zo- diac, fo that the beginning of this year is continually ad- vancing with refpect to the feafons, and makes the complete round of them in 24,000 years. From * Mem. Acad. Scien. tom. 8. p. 312. Aft. Indienne, p. 11. § 14. ASTRONOMY of the BRAHMIWNS. 143 From the epoch above mentioned, the mean place of the fun for any other time is deduced, on the fuppofition that in 800 years, there are contained 292,207 days*. This fuppofition in- volves in it the length of the fydereal year, or the time that the fun takes to return to the beginning of the moveable zo- diac, and makes it confift of 3654. 64. 12’, 36’ +. From this, in order to find the tropical year, or that which regulates the feafons, we muft take away 21’, 55”, as the time which the fun takes to move over the 54”, that the ftars are fuppofed to have advanced in the year; there will remain 365d. 54. 50’, 41”, which is the length of the tropical year that is involved, not only in the tables of Siam, but likewife, very nearly, in all the reft {. This determination of the length of the year is but 1’, 53’, greater than that of De La Cais, which is a degree of accuracy beyond what is to be found in the more ancient tables of our aftronomy. 11. THE next thing with which thefe tables prefent us, is a correction of the fun’s mean place, which correfponds to what we call the equation of his centre, or the inequality arifing from the eccentricity of his orbit, in confequence of which, he is alternately retarded and accelerated, his true place being, for one half of the year, left behind the mean, and, for the other, advanced before it. The point where the fun is placed, when his motion is floweft, we call his apogee, becaufe his diftance from the earth is then greateft; but the Indian aftronomy, which is filent with refpect to theory, treats this point as no- thing more than what it appears to be, a point, viz. in the heavens, where the fun’s motion is the flowe(ft poffible, and about go° diftant from that, where his greateft imequali- ty takes place. This greateft inequality is here made to be * Aft. Ind. p. 7. § 6. + Mem. Acad. Scien. tom. 8. p. 328. t Aft. Ind. p.124. The tables of Tirvalore make the year 6” lefs. 144 REMARKS on the be 2°, 12’*, about 16’ greater than it is determined, by the modern aftronomy of Europe. This difference is very confi- derable ; but we thall find that it is not to be afcribed wholly to error, and that there was a time when the inequality in que- {tion was nearly of the magnitude here affigned to it. In the other points of the fun’s path, this inequality is diminifhed, in proportion to the fine of the mean diftance from the apogee, that is, nearly as in our own tables. The apogee is fuppofed to be 80° advanced beyond the beginning of the zodiac, and to retain always the fame pofition among the fixed ftars, or to move forward at the fame rate with them +. Though this fuppofition is not accurate, as the apogee gains upon the {tars about 10” annually, it is much nearer the truth than the fyftem of Protemy, where the fun’s apogee is fuppofed abfo- lutely at reft, fo as continually to fall back among the fixed ftars, by the whole quantity of the preceffion of the equi- noxes {. 12. In thefe tables, the motions of the moon are deduced, by certain intercalations, from a period of nineteen years, in which fhe makes nearly 235 revolutions; and it is curious to find at Siam, the knowledge of that cycle, of which the in- vention was thought to do fo much honour to the Athenian Aftronomer Merton, and which makes fo great a figure in our modern * Tue equation of the fun, or what they call the chazaa, is calculated in the Sia- mefe tables only for every 15° of the mattezomme, or mean anomaly. Cassini, ubr Supra, Pp» 299+ + Aft. Ind. p. 9. t+ Tue error, however, with refpeét to the apogee, is lefs than it appears to be; for the motion of the Indian zodiac, being nearly 4’ fwifter than the ftars, is but 6” flower than the apogee. The velocity of the Indian zodiac is indeed neither the fame with that of the ftars, nor of the fun’s apogee, but nearly a mean between them, “4 Hi ASTRONOMY of the BRAHMINS. TA5 modern kalendars*. The moon’s apogee is fuppofed to have been in the beginning of the moveable zodiac, 621 days after the epoch of the 21ft of March 638, and to make an entire re- volution in the heavens in the fpace of 3232 days +. The firft of thefe fuppofitions agrees with Mayer’s tables to lefs than a degree, and the fecond differs from them only by 114, 14’, 3175 and if it be confidered that the apogee is an ideal point in the heavens, which even the eyes of an aftronomer cannot direétly perceive, to have difcovered its true motion, fo nearly, argues no fmall correctnefs of obfervation. 13- From the place of the apogee, thus found, the inequali- ties of the moon’s motion, which are to reduce her mean to her true place, are next to be determined. Now, at the oppofi- tions and conjunctions, the two greateft of the moon’s inequa- lities, the equation of the centre and the evection, both depend on the diftance from the apogee, and therefore appear but as one inequality. They alfo, partly, deftroy one another; fo that the moon is retarded or accelerated, only by their differ- ence, which, when greateft, is, according to MAYER’s tables, 4°, 57, 42”. The Siamefe rules, which calculate only for oppofitions and conjunctions, give, accordingly, but one ine- quality to the moon, and make it, when greateft, 4°, 56’, not 2 \efs than the preceding. This greateft equation is A ine when the moon’s mean diftance from the apogee is go° in other fituations, the equation is lefs, in proportion as the fine of that diftance diminifhes f. 14. Tue Siamefe MS. breaks off here, and does not inform us how the aftronomers of that country proceed, in the remain- ing parts of their calculation, which they feem to have under- VoL. Il. t taken, * Tue Indian period is more exact than that of our golden number, by 35. Aft. Ind. p- 5. The Indians regulate their feftivals by this period. Iérd. Difc. Prelim. p. viii. + Aft. Ind. p. 11. & 20. t Aft. Indienne, p. 13. Cassini Mem. Acad. tom. 8. p. 304. 146 REMARKS on the undertaken, merely for fome purpofe in aftrology. M. Cassrnz, to whom we are indebted for the explanation of thefe tables, obferves, that they are not originally conftructed for the meri- dian of Siam, becaufe the rules direct to take away 3’ for the fun, and 40’ for the moon, (being the motion of each for 14, 13), from their longitudes calculated as above *. The meri- dian of the tables is therefore 1°, 13, or 18°, 15°, weft of Siam; and it is remarkable, that this brings us very near to the meridian of Benares, the ancient feat of Indian learning +. The fame agrees nearly with what the Hindoos call their firft meridian, which pafles through Ceylon and the Banks of Ra- manancor. We are, therefore, authorifed, or rather, we are neceffarily determined to conclude, that the tables of Siam came originally from HinposTAN. : 15. Anoruer fet of aftronomical tables, now in the poflef- fion of the Academy of Sciences, was fent to the late M. DE LIsLte from Chrifnabouram, a town in the Carnatic, by Father pu CuaAmp, about the year 1750. Though thefe tables have an obvious affinity to what have already been defcribed, they form a much more regular and extenfive fyftem of aftronomi-_ cal knowledge. They are fifteen in number ; and include, be- fide the mean motions of the fun, moon and planets, the equa- tions to the centre of the fun and moon, and two corrections for each of the planets, the one of which correfponds to its ap- parent, and the other to its real inequality. They are accompa- nied alfo with precepts, and examples, which Father pu CHamp received from the Brahmins of Chrifnmabouram, and which he has tranflated into French ¢{. THE * Mem. Acad. Scien. tom. 8. p. 302. & 309. + Aft. Ind. p. 12. It brings us to a méridian 82°, 34’, eaft of Greenwich. Benares: is 83°, 11’, eaft of the fame, by RenneEL’s map. { Thefe tables are publifhed by M, Barry, Aft. Ind. p. 335, &c. See alfo p. 31, &es ASTRONOMY of th BRAHMINS. 147 Tue epoch of thefe tables is lefs ancient than that of the for- mer, and anfwers to the roth of March at funrife, in the year 1491 of our era, when the fun was juft entering the moveable zodiac, and was in conjunction with the moon; two circum- ftances, by which almoft all the Indian eras are diftinguithed. The places, which they aflign, at that time, to the fun and moon, agree very well with the calculations made from the tables of Mayer, and Dexa CaiLie. In their mean motions, they in- deed differ fomewhat from them; but as they do fo equally for the fun and moon, they produce no error, in determining the relative pofition of thefe bodies, nor, of confequence, in calculating the phenomena of eclipfes. The fun’s apogee is here fuppofed to have a motion f{wifter than that of the fixed ftars, by about 1” in nine years, which, though it falls greatly fhort of the truth, does credit to this aftronomy, and is a {trong “mark of originality. The equation of the fun’s centre is fome- - what lefs here than in the tables of Siam; it is 2°, 10’, 30"; the equation of the moon’s centre is 5°, 2’, 47”; her path, where it interfects that of the fun, is fuppofed to make an an- gle with it of 4°, 30, and the motions, both of the apogee and node, are determined very near to the truth. 16. ANOTHER ‘et of tables, fent from India by Father Patou- ILLET, were received by M. DE t’IsxE, about the fame time with thofe of Chrifnabouram. They have not the name of any particular place affixed to them ; but, as they contain a rule for determining the length of the day, which anfwers to the latitude of 16°, 16’, M. Barty thinks it probable that they come from Narfapour *. _ THE precepts and examples, which accompany thefe ta- bles, though without any immediate reference to them, are confined to the calculation of the eclipfes of the fun and moon; but the tables themfelves extend to the motion of the _ planets, and very much refemble thofe of Chrifnabouram, except that they are given with lefs detail, and in a form much t2 more * Aft. Ind. p. 49, &c. 148 REMARKS on the more enigmatical *. The epoch of the precepts, which M. BAitrty has evolved with great ingenuity, goes back no farther than the year 1569, at midnight, between the 17th and 18th of March.” From this epoch, the places of the fun and moon are computed, as in the tables of Siam, with the addition of an equation, which is indeed extremely fingular. It refembles that correction of the moon’s motion, which was difcovered by Tycuo, and which is called the annual equation, becaufe its quantity de- pends, not on the place of the moon, but on the place of the fun, in the ecliptic. It is every where proportional to the in- equality of the fun’s motion, and is nearly a tenth part of it. The tables of Narfapour make their annual equation only 7 of the fun’s: but this is not their only miftake; for they direct the equation to be added to the moon’s longitude, when it ought to be fubtracted from it, and vice verfa. Now, it is difficult to conceive from whence the laft mentioned error has arifen; for though it is not at all extraordinary, that the aftronomers, who conftruéted thefe tables, fhould miftake the quantity of a fmall equation, yet it is impoflible, that the fame obfervations, which informed them of its exiftence, fhould not have determined, whether it was to be added or fub- tracted. It would feem, therefore, that fomething accidental muft have occafioned this error; but however that be, an inequality in the lunar motions, that is found in no fyftem. with which the aftronomers of India can have had any com- munication, is at leaft a proof of the originality of their tables. 17. Tue tables, and methods, of the Brahmins of Tirvalore, are, in many refpects, more fingular than any that have yet ; been. * Tury were explained, or rather decyphered by M. te Genvit in the Memoirs. of the Academy of Sciences for 1784, p. 482, &c. ; for they were not underftood by the miffionary who fent them to Europe, nor probably by the Brahmins who inftruéted him.. M. ve Gentit thinks that they have the appearance of being copied from infcriptions on ftone. The minutes and feconds are ranged in rows under one another, not in vertical columns, and without any title to point out their meaning, or their connection. Thefe tables are publifhed, Mem. Acad. rhid. p. 492, and Aft. Ind. p. 414. — - ey Bg —h o megnl miei ms ASTRONOMY of the BRAHMINS. 149 been defcribed *. The folar year is divided, according to them, into twelve unequal months, each of which is the timethat the fun takes to move through one fign, or 30°, of the ecliptic. Thus, 4ny, or June, when the fun is in the third fign, and his motion floweft, confifts of 314, 36°, 38’, and Margagy, or December, when he is in the ninth fign, and his mo- tion quickeft, confifts only of 29% 20%, 53’ +. The lengths of thefe months, expreffed in natural days, are con- tained in a table, which, therefore, involves in it the place of the fun’s apogee, and the equation of his centre. ‘The former feems to be 77° from the beginning of the zodiac, and the lat- ter about 2°, 10’, nearly as in the preceding tables. In their calculations, they alfo employ an aftronomical day, which is different from the natural, being the time that the fun takes to move over one degree of the ecliptic; and of which days there are juft 360 in a year f. 18. Turse tables go far back into antiquity. Their e- poch coincides with the famous era of the Calyougham, that is, with the beginning of the year 3102 before Curisr. When the Brahmins of Tirvalore would calculate the place of the fun for a given time, they begin by reducing into days the interval between that time, and the commencement of the Calyougham, multiplying the years by 365%, 64, 12’, 30”; and taking away 2%, 37, 32’, 30’, the aftronomical epoch having begun that much later than the civil ||. They next find, by means of certain divifions, when the year current be- gan, * Tirvarore is a fmall town on the Coromandel coaft, about 12 G. miles weft of Ne- gapatnam, in Lat. 10°, 44’, and eaft Long. from Greenwich, 79°, 42, by Rewnex’s map. From the obfervations of the Brahmins, M. re Gentiz makes its Lat. to be 10°, 42,13’. (Mem. Acad. Scien. II. P. 184.) The meridian of Tirvalore nearly touches the weft fide of Ceylon, and therefore may be fuppofed to coincide with the firft meridian, as laid down by Father pv Cuamr. There is no reduction of Longitude em- ployed in the methods of Tirvalore. + Thefe are Indian hours, &c. : + Mem. Acad. des Scien. II, P. 187. Aft. Indienne, p. 76, &c. | The Indian hours are here reduced to European. 150 REMARKS on the gan, or how many days have elapfed fince the beginning of it, and then, by the table of the duration of months, they re- duce thefe days into aftronomical months, days, tc. which is the fame with the figns, degrees and minutes of the fun’s longitude from the beginning of the zodiac. The fun’s lon- gitude, therefore, is found. 19. SOMEWHAT in the fame manner, but by a rule ftill more artificial and ingenious, they deduce the place of the moon, at any given time, from her place at the beginning of the Cal- yougham*. This rule is fo contrived, as to include at once the motions both of the moon and of her apogee, and depends on this principle, according to the very fkilful interpretation of M. Baixty, that, 1,600,894 days after the above mentioned _ epoch, the moon was in her apogee, and 7‘, 2°, o', 7”, diftant from the beginning of the zodiac ; that after 12,372 days, the moon was again in her apogee, with her longitude increafed, 9', 27°, 48’, 10’; that in 3031 days more, the moon is again in her apogee, with 11‘, 7°, 31', 1”, more of longitude; and, laftly, that, after 248 days, fhe is again in her apogee, with 27°, 44, 6”, more of longitude. By means of the three former numbers, they find, how far, at any given time, the moon is advanced in this period of 248 days, and by a table, exprefling how long the moon takes to pafs through each degree of her orbit, during that period, they find how far {fhe is then advanced in the zodiac +. This rule is ftrongly marked with all the peculiar characters of the Indian aftronomy : It is re- markable for its accuracy, and {till more for its ingenuity and refinement ; but is not reduced withal, to its ultimate fim- plicity. 20. TuE tables of Tirvalore, however, though they differ in form very much from thofe formerly defcribed, agree with them * Mem. Acad. des Scien. zbid. p. 229. Aft. Ind. p 84. + M. ve Genre has given this table, Mem. Acad. cbid. p. 26. ASTRONOMY of the BRAHMINS. Isr them perfe@tly in many of their elements. They fuppofe the fame length of the year, the fame mean motions, and the fame inequalities of the fun and moon, and they are adapted nearly to the fame meridian*. But a circumftance in which they feem to differ materially from the reft is, the antiquity of the epoch from which they take their date, the year 3102 before the _Chriftian era. We muft, therefore, enquire, whether this epoch is real or fictitious, that is, whether it has been determined by actual obfervation, or has been calculated from the modern epochs of the other tables. For it may naturally be fuppofed, that the Brahmins, having made obfervations*in later times, or having borrowed from the aftronomical knowledge of other nations, have imagined to themfelves a fictitious epoch, coinci- ciding with the celebrated era of the Calyougham, to which, through * Tur accuracy of the geography of the Hindoos, is in no proportion to that of their aftronomy, and, therefore, it is impoffible that the identity of the. meridians of their tables can be fully eftablifhed. All that can be faid, with certainty, is, that the dif- _ ference between the meridians of the tables of Tirvalore and Siam is, at moft, but in- confiderable, and may be only apparent, arifing from an error in computing the difference of longitude between thefe places. The tables of Tirvalore are for Long. 79°, 42’; thofe of Siam for 82°, 34’; the difference is 2°, 52’, not more than may be afcribed to an error purely geographical. _ As to the tables of Chrifnabouram, they contain a reduction, by which it appears, _ that the place where they are now ufed is 45’ of a degree eaft of the meridian for which __ they were originally conftruéted. This makes the latter meridian agree tolerably with that DB .of Cape Comorin, which is in Long. 77°, 32’, 30’, and about half a degree weft of Chrifna- _ bouram. But this conclufion is uncertain; becaufe, as M. Barttiry has remarked, the _ tables fent from Chrifnabouram, and underftood by Father pv Cuamp to belong to that _ place, are not adapted to the latitude of it, but to one confiderably greater, as appears ; from their rule for afcertaining the length of the day. (Aft. Ind. p. 33.) _ Tue charaéters, too, by which the Brahmins diftinguifh their firft meridian, are not 4 perfectly confiftent with one another. Sometimes it is defcribed as bilecting Ceylon ; and at ‘ _M. Baitty thinks that it is the lake ace the foures of the Goa laced by M. la - NEL, as well as the middle of Ceylon, in Long. 80°, 42'; but, from a Hindoo map, in _ the Ayeen Akbery, vol.iii, p. 25. Lanka appears to be an ifland which marks the ; I interfection of the firft meridian of the map, nearly that of Cape Comorin, with the equa- _ tor ; and is probably one of the Maldivy illands. See alfo a note in the Ayeen Akbery, ibid. p- 36. 152 REMARKS on the through vanity or fuperftition, they have referred the places of the heavenly bodies, and have only calculated what they pre- . tend that their anceftors obferved. 21. In doing this, however, the Brahmins muft have fur- nifhed us with means, almoft infallible, of detecting their im- pofture. It is only for aftronomy, in its moft perfect ftate, to go back to the diftance of forty-fix centuries, and to afcertain the fituation of the heavenly bodies at fo remote a period. The modern aftronomy of Europe, with all the accuracy that it derives from the telefcope and the pendulum, could not venture on fo difficult a tafk, were it not aflifted by the theory of gra- vitation, and had not the integral calculus, after an hundred years of almoft continual improvement, been able, at laft, to determine the difturbances in our fyftem, which arife from the action of the planets on one another. Un ess the corrections for thefe difturbances be taken into account, any fyftem of aftronomical tables, however accurate at the time of its formation, and however diligently copied from the heavens, will be found lefs exact for every inftant, ei- ther before or after that time, and will continually diverge more and more from the truth, both for future and paft ages. Indeed, this will happen, not only from the neglect of thefe corrections, but alfo from the fmall errors unavoidably com- mitted, in determining the mean motions, which muft ac- cumulate with the time, and produce an effect that be- comes every day more fenfible, as we retire, on either fide, from the inftant of obfervation. For both thefe reafons, it may be eftablifhed as a maxim, that, if there be given a fyftem of aftronomical tables, founded on obfervations of an unknown date, that date may be found, by taking the time when the tables reprefent the celeftial motions moft exa¢tly. Here, therefore, we have a criterion, by which we are to judge of the pretenfions of the Indian aftronomy to fo great an- tiquity. It is true, that, in applying it, we muft fuppofe our modern ASTRONOMY of th BRAHMINS. 153 modern aftronomy, if not perfe@tly accurate, at leaft fo exact as to reprefent the celeftial motions, without any fenfible error, even for a period more remote than the Calyougham ; and this, confidering the multitude of obfervations on which our aftro- nomy is founded, the great antiquity of fome of thofe objer- vations, and the extreme accuracy of the reft, together with the afliftance derived from the theory of phyfical caufes, may furely be affumed as a very reafonable poftulatum. We begin with the examination of the mean motions. 22. THE Brahmins place the beginning of their moveable zodiac, at the time of their epoch, 54° before the vernal equi- nox, or in the longitude of 10‘, 6°, according to our method of reckoning. Now, M. Le Gentit brought with him a deli- neation of the Indian zodiac, from which the places of the ftars in it may be afcertained with tolerable exactnefs*. In particular, it appears, that Aldebaran, or the firft ftar of Tau- rus, is placed in the laft degree of the fourth conftellation, or 53°, 20, diftant from the beginning of the zodiac. Alde- baran was therefore 40’ before the point of the vernal equinox, according totheIndian aftronomy, in the year 3102 beforeCuRIsT. But the fame ftar, by the’beft modern obfervations, was, in the year 1750, in longitude, 2°, 6°, 17’, 47”; and had it gone forward, according to the prefent rate of the preceffion of the equinoxes, 50s annually, it muft have been, at the era of the Calyougham, 1°, 32, before the equinox. But this refult is to be corrected, in confequence of the inequality in the preceflion, difcovered by M. pe 1a Grancs f, by the addition of 1°, 45’, 22”, to the longitude of Aldebaran, which gives the longitude of that ftar 13’ from the vernal equinox, at the, time of the Calyoug- ham, agrecing, within 53’, with the determination of the In- dian aftronomy f. Vou. Il. u THIs * Mem. Acad. Scien. 1772, Il. P. 214. Aft. Ind. p. 129. 4 Mem. Acad. de Berlin, 1782, p. 287. Aft. Ind. p. 144. t Aft. Ind. p. 130. 154 REMARKS on the Tuts agreement is the more remarkable, that the Brahmins, by their own rules for computing the motion of the fixed ftars, could not have afligned this place to Aldebaran for the begin- ning of the Calyougham, had they calculated it from a modern obfervation. For as they make the motion of the fixed ftars too great by more than 3” annually, if they had calculated backward from 1491, they would have placed the fixed ftars lefs advanced by 4° or 5°, at their ancient epoch, than they have actually done. This argument carries with it a great deal of force; and even were it the only one we had to produce, it would render it, in a high degree, probable, that the Indian zodiac was as old as the Calyougham. 23. LreT us next compare the places of the fun and moon, for the beginning of the Calyougham, as deduced from the In- dian and the modern aftronomy. And, firft, of the fun, though, for a reafon that will immediately appear, it is not to be confidered as leading to any thing conclufive. M. Baitiy, from a comparifon of the tables of Tirvalore with thofe of Chrifnabouram, has determined the epoch of the former to an- fwer to midnight, between the 17th and 18th* of February of the year 3102 before CurisT, at which time the fun was juft entering the moveable zodiac, and was therefore in longi- tude to", 6°. M. Barry alfo thinks it reafonable to fuppofe, that this was not the mean place of the fun, as the nature of aftronomical tables require, but the true place, differing from the mean, by the equation to the fun’s centre at that time}. This, it muft be confeffed, is the mark of greateft unfkilfulnefs, that we meet with in the conftruction of thefe tables. Suppofing it, however, to be the cafe, the mean place of the fun, at the time of * Aft.Ind. p. 110. The Brahmins, however, actually fuppofe the epoch to be 6 hours later, or at funrife, on the fame day. Their miftake is difcovered, as has been faid, by comparing the radical places in the different tables with one another. + Aft. Ind. p. 83. ASTRONOMY of the BRAHMINS. 155 of the epoch, comes out 10°, 3°, 38’, 13”. Now, the mean longi- tude of the fun, from Dr 1a Carixe’s tables, for the fame time, is 10’, 1°, 5’, 57°, fuppofing the preceflion of the equinoxes to have been uniformly at the rate it is now, that is, 50” an- nually. But M. p— ra GranceE has demonftrated, that the preceffion was lefs in former ages than in the prefent; and his formula gives 1°, 45’, 22”, to be added, on that account, to the fun’s longitude already found, which makes it 1o*, 2°, 51’, 1g’, not more than 47’ from the radical place in the tables of Tirvalore. This agreement is near enough to afford a ftrong proof of the reality of the ancient epoch, if it were not for the difficulty that remains about confidering the fun’s place as the true, rather than the mean; and, for that reafon, I am unwil- ling that any ftrefs fhould be laid upon this argument. The place of the moon is not liable to the fame objection. 24. [HE moon’s mean place, for the beginning of the Caly- ougham, (that is, for midnight between the 17th and 18th of February 3102, A. C. at Benares), calculated from Mayer’s tables, on the fuppofition that her motion has always been at the fame rate as at the beginning of the prefent century, is Io‘, 0°, 51, 16°*. But, according to the fame aftrono- mer, the moon is fubject to a fmall, but uniform accele- ration, fuch, that her angular motion, in anyone age, is 9 greater than in the preceding, which, in an interval of 4801 years, muft have amounted to 5°, 45’, 44”. This muft be added to the preceding, to give the real mean place of the moon, at the aftronomical epoch of the Calyougham, which is therefore 10', 6°, 37. Now, the fame, by the tables of Tir- valore, is to‘, 6°, o'; the difference is lefs than two-thirds of a degree, which, for fo remote a period, and confidering the acceleration of the moon’s motion, for which no allowance ae could * Aft. Ind. p. 142, &c. The firft meridian is fuppofed to pafs through Benares ; but even if it be fuppofed 3° farther weft, the difference, which is here 37’, will be only in- creafed to 42’. 156 REMARKS on the could be made in an Indian calculation, is a degree of accuracy that nothing but a@tual obfervation could have produced. 25. To confirm this conclufion, M.Barity computes the place of the moon for the fame epoch, by all the tables to which the {Indian aftronomers can be fuppofed to have ever had accefs *. He begins with the tables of Protemy; and if, by help of them, we go back from the era of NABoNAsSAR, to the epoch of the Calyougham, taking into account the compa- rative length of the Egyptian and Indian years, together with the difference of meridians between Alexandria and Tirvalore, we fhall find the longitude of the fun 10°, 21’, 15” greater, and that of the moon 11°, 52’, 7” greater than has juft been found from the Indian tables +. At the fame time that this fhews, how difficult it is to go back, even for a lefs period than that of 3000 years, in an aftronomical computation, it affords a proof, altogether demonftrative, that the Indian aftronomy is. not derived from that of ProLemy. Tue tables of Utucu Brerc are more accurate than thofe of the Egyptian aftronomer. They were conftructed in a coun- try not far from India, and but a few years earlier than 7491, the epoch of the tables of Chrifnabouram. ‘Their date is july 4. at noon, 1437, at Samarcand; and yet they do not agree with the Indian tables, even at the above mentioned epoch of 1491 {. But, for the year 3102 before Curist, their dif- ference from them, in the place of the fun, is 1°, 30’, and in that of the moon 6°; which, though much lefs than the for- mer differences, are fufficient to fhow, that the tables of India are not borrowed from thofe of Tartary. Tue Arabians employed in their tables the mean motions of Proxiemy ; the Perfians did the fame, both in the more ancient tables of Carysococca,and the later ones of NASSIREDDIN ||. Je is. * Aft. Ind. p. 1x4. + Ibid. p. 115. + Ibid. p. 117. \ Ibid, p. 128. tly ASTRONOMY of th BRAHMINS. 157 is therefore certain, that the aftronomy of the Brahmins is nei- ther derived from that of the Greeks, the Arabians, the Per- fians or the Tartars. This appeared fo clear to CassIN1, though he had only examined the tables of Siam; and knew nothing of many of the great points which diftinguith the In- dian aftronomy from that of all other nations, that he gives it as his opinion, that thefe tables are neither derived from the Perfian aftronomy of Curysococca, nor from the Greek aftronomy of Proremy ; the places they give at their epoch to the apogee of the fun, and of the moon, and their equation for the fun’s centre, being very different from both *. 26. Bur, to return to what refpects the moon’s acceleration ; it is plain, that tables, as ancient as thofe of Tirvalore pretend: to be, ought to make the mean motion of that planet much flower than it is at prefent. They do accordingly fuppofe, in the rule for computing the place of the moon, already defcri- bed, that her motion for 4383 years, 94 days, reckoned in the moveable zodiac from the epoch of the Calyougham, is.7‘, 2°, °, 7, or 9’, 7°, 45, 1, when referred to the fixed point of the vernal equinox. Now, the mean motion for the fame in- terval, taken from the tables of MAYER, is greater than this, by 2°, 42’, 4” ¢, which, though conformable, in general, to the notion of the moon’s motion having been accelerated, falls, it muft be confeffed, greatly fhort of the quantity which MAveEr has afligned to that acceleration. This, however, is not true of all the tables ; for the moon’s motion in 4383 years, 94 days, taken from thofe of Chrifnabouram, is 3°, 2’, To” lefs than in the tables of Tirvalore {; from which it is reafon- able to conclude, with M. Baiiiy, that the former are, in. reality, more ancient than the latter, though they do not pro- fefs to be fo: and hence, alfo, the tables of Chrifnabouram make. * Mem. Acad. Scien. tom. 8. p. 286. + Aft. Ind. p. 145. } Ibid. p. 126. 158 REMARKS on the make the moon’s motion lefs than Mayver’s, for the above mentioned interval, by 5°, 44’, 14”, which therefore is, ac- cording to them, the quantity of the acceleration. 27. Now, it is worthy of remark, that if the fame be com- puted on Mayer’s principles, that is, if we calculate how much the angular motion of the moon for 4383 years, 94. days, dated from the beginning of the Calyougham, muft have been lefs than if her velocity had been all that time uniform, and the fame as in the prefent century, we fhall find it to be 5°, 43, 7”, an arch which is only 1’, 7”, lefs than the former. The tables of Chrifnabouram, therefore, agree with thofe of Mayer, when corrected by the acceleration within 1’, 7”, and that for a period of more than four thoufand years. From this remarkable coincidence, we may conclude, with the higheft pro- bability, that at leaft one fet of the obfervations, on which thofe tables are founded, is not lefs ancient than the Calyoug- ham ; and though the poffibility of their being fome ages later than that epoch, is not abfolutely excluded, yet it may, by ftriét mathematical reafoning, be inferred, that they cannot have been later than 2000 years before the Chriftian era *. 28. Tuis * Tue reafoning here referred to is the following: As the mean motions, in all aftronomical tables, are determined by the comparifon of obfervations made at a great diftance of time from one another; if be the number of centuries between the begin- ning of the prefent, and the date of the more ancient obfervations, from which the moon’s mean motion in the tables of Chrifnabouram is deduced ; and if y denote the fame for the more modern obfervations: then the quantity by which the moon’s mo- tion, during the interval x—y, falls fhort of Mayer’s, for the fame interval, is (oP y*)o Iv, therefore, m be the motion of the moon for a century in the laft mentioned tables, m(x—y)—9g' (x*—y?) will be the mean motion for the interval «—y in the tables of Chriinabouram. If, then, a be any other interval, as that of 43.83 centuries, the mean motion affigned to it, in thefe laft tables, by the rule of proportion, will be jy ae id wee, 2 ee a) = ma—ga(«-+y). Let this motion, attually taken. from the ta- w—S bles ASTRONOMY of th BRAHMINS. 159 28. Tuts laft is one of the few coincidences between the aftro- nomy of India and of Europe, which their ingenious hiftorian has left for others to obferve. Indeed, fince he wrote, every argument, founded on the moon’s acceleration, has become more worthy of attention, and more conclufive. For that ac- celeration is no longer a mere empyrical equation, introduced to reconcile the ancient ebfervations with the modern, nor a fact that can only be accounted for by hypothetical caufes, fuch as the refiftance of the ether, or the time neceflary for the tran{miffion of gravity; it is a phenomenon, which M. DE LA Piace has*, with great ability, deduced from the principle of univerfal gravitation, and fhewn to be neceffarily connected with the changes in the eccentricity of the earth’s orbit, dif- covered by M. pE tA GRANGE; fo that the acceleration of the moon is indirectly produced by the action of the planets, which alternately increafing and diminifhing the faid eccentricity, fub- jects the moon to different degrees of that force by which the fun difturbs the time of her revolution round the earth. It is therefore a periodical inequality, by which the moon’s motion, in the courfe of ages, will be as much retarded as accelerated ; but its changes are fo flow, that her motion has been conftant- ly accelerated, even for a longer period than that to which the obfervations of India extend. A bles be = na, then ma—na = oa(«x-+y), or x-Fy = Bcsaadl = $2.19, in the prefent & cafe. It is certain, therefore, that whatever fuppofition be made with .refpect to the inter- val between x and y, their fam muft always be the fame, and muft amount to 5219 years. But that, that interval may be long enough to give the mean motions with exactnefs, it can fearcely be fuppofed lefs than 2000 years; and, in that cafe, « = 3609 years, which therefore is its leaft value. But if 3609 be reckoned back from 1700, it goes up to 1909 years before Curist, nearly, as has been faid. Ir muft be remembered, that what is here inveftigated is the limit, or the moft mo- dern date poffible to be affigned to the obfervations in queftion. The fuppofition that *—y = a, is the moft probable of all, and it gives x = 4801, which correfponds to the beginning of the Calyougham. * Mem. Acad. des Scien. 1786, p. 235, &c. 160 REMARKS on the A FORMULA for computing the quantity of this inequality, has been given by M. pE La PLAce, which, though only an approxima- tion, being derived from theory, is more accurate than that which Maver deduced entirely from obfervation * ; and if it be taken inftead of Mayer’s, which laft, on account of its fimplicity, I have employed in the preceding calculations, it will give a quantity fomewhat different, though not fuch as to affect the general refult. It makes the acceleration for 4383 years, dated from the beginning of the Calyougham, to be greater by 17’, 39’, than was found from Mayer’s rule, and greater confequently by 16’, 32”, than was deduced from the tables of Chrifnabouram. It is plain, that this coincidence is ftill near enough to leave the argument, that is founded on it, in poffeffion of all its force, and to afford a {trong confirmation of the accuracy of the theory, and the authenticity of the tables. Tuat obfervations made in India, when all Europe was barbarous or uninhabited, and inveftigations into the moft fub- tle effects of gravitation made in Europe, near five thoufand years afterwards, fhould thus come in mutual fupport of one another, is perhaps the moft ftriking example of the pro- grefs and viciflitude of fcience, which the hiftory of mankind has yet exhibited. 29 Tuis, however, is not the only inftance of the fame kind that will occur, if, from examining the radical places and mean motions in the Indian aftronomy, we proceed to confider fome other of its elements, fuch as, the length of the year, the inequality of the fun’s motion, and the obliquity of the eclip- tic, and compare them with the conclufions deduced, from the theory of gravity, by M. pe tA Grance. To that geometer, phyfical aftronomy is indebted for one of the moft beautiful of its difcoveries, viz. That all the variations in our fyftem are periodical; fo that though every thing, almoft without excep- tion, * Mem. Acad. des Scien. 1786, p. 260. ASTRONOMY of the BRAHMINS. 165 tion, be fubject to change, it will, after a certain interval, re- turn to the fame ftate in which it is at prefent, and leave no room for the introdudtion of diforder, or of any irregularity that might conftantly increafe. Many of thefe periods, how- ever, are of vaft duration. A great number of ages, for in- ftance, muft elapfe before the year be again exactly of the fame length, or the fun’s equation of the fame magnitude as at prefent *. An aftronomy, therefore, which profefles to be fo ancient as the Indian, ought to differ confiderably from ours in many of its elements. If indeed thefe differences are irregular, they are the effects of chance, and muft be accounted errors ; but if they obferve the laws, which theory informs us that the variations in our fyftem do actually obferve, they muft be held as the moft undoubted marks of authenticity. We are to ex- amine, as M. Baitiy has done, which of thefe takes place in the cafe before us f. 30. Tue tables of Tirvalore, which, as we have feen, refer their date to the beginning of the Calyougham, make the fy- derial year to confift of 3657, 6%, 12’, 30°; and therefore the tropical of 3654, 54, 50’, 35°, which is 13’, 46’, longer than that of De ra Cartte ft. Now, the tropical year was in rea- lity longer at that time than it is at prefent ; for though the fi- derial year, or the time which the earth takes to return from one point of fpace to the fame point again, is always of the fame magnitude, yet the tropical year being affected. by the _ preceflion of the equinoxes, is variable by a {mall quantity, which never can exceed 3’, 40”, and which is fubject to flow, _ and unequal alternations of diminution and increafe. A the- orem, exprefling the law and the quantity of this variation, has been inveftigated by M. DE LA GRANGE, in the excellent Me- Nox, 11. * moir * Mem. de I’ Acad. de Berlin, 1782, p. 170, &c. + Aft. Ind. p. 160, &c. t Supra, § 18. and 10. 162 REMARKS on the moir already mentioned *; and it makes the year 3102 before CuristT, 40°} longer than the year at the beginning of the prefent century +. The year in the tables of Tirvalore is there- fore too great by 1’, 52. 31. Bur the determination of the year is always from a com- parifon of obfervations. made at a confiderable interval from one another ; and, even to produce a degree of accuracy much lefs than what we fee belongs to the tables of Tirvalore, that interval muft have been of feveral ages. Now, fays M. BarLiy, if we fuppofe thefe obfervations to have been made in that pe- riod of 2400 years, immediately preceding the Calyougham, to: which the Brahmins often. refer; and if we alfo fuppofe the inequality of the preceflion of the equinoxes, to increafe as we go back, in proportion to the fquare of the times, we fhall find, that, at the middle of this period, or 1200 years before the be- ginning of the Calyougham, the length of the year was 365%, 5°, 50, 41”, almoft precifely as in the tables of Tirvalore. And hence it is natural to conclude, that this determination of the folar year is as ancient as the year 1200, before the Cal- yougham, or 4300 before the Chriftian era {. 32. In this reafoning, however, it feems impoflible to acqui- efce ; and M. Baitiy himfelf does not appear to have relied on it with much confidence ||. We are not at liberty to fuppofe, that the preceflion of the equinoxes increafes in the ratio above mentioned, or, which isthe fame, that the equino¢tial points go back with a motion equably retarded. If, by M. DE GranGez’s formula, we trace back, ftep by ftep, the variation of the folar year, we fhall find, that about the beginning of the Calyougham, it had nearly attained the extreme point of one * Mem. Acad. Berlin, 1782. p. 289. + Aft. Ind. p. 160. + Ibid. p. 161. || He fays, ‘ Sans doute il ne peut réfulter de ce calcul qu’un appergu.” ASTRONOMY of th BRAHMINS. 163 one of thofe vibrations, which many centuries are required to complete ; and that the year was then longer than it has ever been fince, or than it had been for many ages before. It was 40" longer than it is at prefent ; but, at the year 5500 before Curist, it was only 29” longer than at prefent, inftead of 2’, 50”, which is the refult of M. Baiziy’s fuppofition. | During all the intervening period of 2400 years, the variation of the year was between thefe two quantities; and we cannot therefore, by any admiffible fuppofition, reduce the error of the tables to lefs than 1’, 5”. The fmallnefs of this error, though extremely fa- vourable to the antiquity, as well as the accuracy of the Indian aftronomy, is a circumftance from which a more precife con- elufion ‘can hardly be deduced. 33-. THE equation of the fun’s centre is an element in the Indian aftronomy, which has a more unequivocal appearance _ of belonging to an earlier period than the Calyougham. The maximum of that equation is fixed, in thefe tables, at 2°, 10’, 2”. Itis at prefent, according to M. pe uA CAILLE, 1°, 55’, that is, 15’ lefs than with the Brahmins. Now, M. pz tA GRANGE has fhewn, that the fun’s equation, together with the eccentri- city of the earth’s orbit, on which it depends, is fubject to al- ternate diminution and increafe, and accordingly has been di- minifhing for many ages. In the year 3102 before our era, that equation was 2°, 6, 28”45 lefs, only by 4’, than in the tables of the Brahmins. But if we fuppofe the Indian aftro- nomy to be founded on obfervations that preceded the Calyoug- ham, the determination of this equation will be found to be ftill more exaGt. Twelve hundred years before the commence- ment of that period, or about 4300 years before our era, it ap- pears, by computing from M. pe ua Granee’s formula, that the equation of the fun’s: centre was actually 2°, 8’, 16”; fo that if the Indian aftronomy be as old. as that period, its error with refpec to this equation is but of 2° *. x2 34. THE * Aft. Ind. p. 163. 164 REMARKS on the 34. Tue obliquity of the ecliptic is another element in which the Indian aftronomy and the European do not agree, but where their difference is exaétly fuch as the high antiquity of the former is found to require. The Brahmins make the obli- quity of the ecliptic 24°. Now, M. pe ra Grance’s formu- la for the variation of the obliquity *, gives 22’, 32”, to be added to its obliquity in 1700, that is, to 23°, 28’, 41”, in or- der to have that which took place in the year 3102 before our era. This gives us 23°, 51’, 13”, which is 8’, 47”, fhort of the determination of the Indian aftronomers. But if we fup- pofe, as in the cafe of the fun’s equation, that the obfervations on which this determination is founded, were made 1200 years before the Calyougham, we fhall find that the obliquity of the ecliptic was 23°, 57’, 45”, and that the error of the tables did not much exceed 2’ fF. 35. Tuus, do the meafures which the Brahmins affign to thefe three quantities, the length of the tropical year, the equa- tion of the fun’s centre, and the obliquity of the ecliptic, all agree in referring the epoch of their determination to the year 3102 before our era, or to a period ftill more ancient. This coincidence in three elements, altogether independent of one another, cannot be the effet of chance. The difference, with refpe& to each of them, between their aftronomy and ours, might fingly perhaps be afcribed to inaccuracy ; but that three errors, which chance had introduced, fhould be all of fuch magnitudes, as to fuit exactly the fame hypothefis concerning their origin, is hardly to be conceived. Yet there is no other alternative, but to admit this very improbable fuppofition, or to acknowledge that the Indian aftronomy is as ancient as one, or other of the periods above mentioned. 36. Turs conclufion would receive great additional confirma- tion, could we follow M. Baruty in his analyfis of the aftro- nomy * Mem. Acad. Berlin, 1782, p. 287: + Aft. Ind. p. 165. ASTRONOMY of th BRAHMINS. 165 nomy of the planets, contained in the tables of Chrifna- bouram *; but the length to which this fafer is already ex- tended, will allow only a few of the moft remarkable particu- lars to be felected. ; In thefe tables, which are for the epoch 1491, the mean mo- tions are given with confiderable accuracy, but without an ap- pearance of being taken from ProLemy, or any of the aftro- nomers already mentioned. Two inequalities, called the /chi- gram and the manda, are alfo diftinguifhed in each of the pla- nets, both fuperior and inferior +. The firft of thefe is the , fame with that which we call the parallax of the earth’s orbit, or the.apparent inequality of a planet, which arifes not from its own motion, but from that of the obferver ; but whether it is afcribed, m the Indian aftronomy, to its true caufe, or to the motion of the planet in an epicycle, is a queftion about ‘which the tables give no direét information. The magnitude, however, of this equation is affigned, for each of the planets, with no fmall exa¢tnefs, and is varied, in the different points of its orbit, by a law which approaches very near to the truth. Tue other inequality coincides with that of the planet’s cen- tre, or that which arifes from the eccentricity of its orbit, and it is given near the truth for all the planets, except Mercury, by which, as is no wonder, the firft aftronomers were, every where, _ greatly deceived. Of this inequality, it is fuppofed, juft as in the cafes of the fun and moon, that it is always as the fine of the planet’s diftance from the point of its floweft mo- tion, or from what we call its aphelion, and is confequently greateft at go° from that point. It were to be wifhed that we knew the etymology of the Mames which are given to thefe inequalities, as it might ex- plain the theory which guided the authors of the tables. The titles of our aftronomical tables, the terms apbelion, heliocentric or * Aft. Ind. p. 173, &e. } Ibid. p. 177. 166 REMARKS on the or geocentric place, &c. would difcover the leading ideas of the Copernican fyftem, were no other defcription of it preferved. 37. Iw the manner of applying thefe two inequalities, to cor- rect the mean place of a planet, the rules of this aftronomy are altogether fingular. In the cafe of a fuperior planet, they do not make ufe of the mean anomaly, as the argument for finding out the equation manda, but of that: anomaly, when corrected firft by half the equation /chigram, and afterwards by half the equation manda*. By the equation of the centre, obtained with this argument, the mean longitude of the planet is correéted, and its true heliocentric place confequently found, to which there is again applied the parallax of the annual orbit, that the geocentric place may be obtained. The only difficulty here, is in the method of taking out from the tables the equa- tion to the centre. It is evidently meant for avoiding fome inaccuracy, which was apprehended from a more direct metho@ of calculation, but of which, even after the ingenious remarks of M. Baitty, it feems impoffible to give any clear and fatis- factory account. . 38. THe manner of calculating the places of the inferior planets has a great refemblance to the former ; with this differ- ence, however, that the equation manda, or of the centre, is applied to correct, not the mean place of the planet, but the mean place of the fun ; and to this laft, when fo corretted, is applied the equation /chigram, which involves the planet’s elon- gation from the fun, and gives its geocentric place+. This neceflarily implies, that the centre, about ‘which the inferior planets revolve, has the fame apparent mean motion with the fun: but whether it be a point really different from the fun, or the fame; and, if the fame, whether it be in motion or at reft, are left entirely undetermined, and we know not, whether, in the aftronomy of India, we have here difcovered a refem- blance * Aft. Ind. p. 194. + Ibid. p. 199, &e. ASTRONOMY of th BRAHMINS. 167 blance to. the Ptolemaic, the Tychonic, or the Copernican fy- ftem. 39. TuEsE tables, though their radical places are for the year 1491 of our era, havean obvious reference tothe great epoch of the Calyougham. For if we calculate the places of the planets from them, for the beginning of the aftronomical year, at that epoch, we find:them all. in conjun¢tion with the fun in the beginning of the moveable: zodiac, their common longitude being 10', 6° *. According to our tables, there was, at that time, a conjunction of all the planets, except Venus, with the fun ; but they were, by no means, fo near to one another as the Indian aftronomy reprefents. It is true, that the exact time- of a conjunction cannot be determined by direct obfervation: but this does not amount to an entire vindication of the tables ; and there is rea- fon to fufpect, that fome fuperftitious notions, concerning the beginning of the Calyougham, and the figns by which nature muft have diftinguifhed fo great an epoch, has, in this inftance at leaft, perverted the aftronomy of the Brahmins. There are, however, fome coincidences between this part of their aftro- nomy, andthe theory of gravity, which muft not be for- gotten. “go. Tue firft of thefe refpects the aphelion of Jupiter, which, in the tables, is fuppofed to have a retrograde. motion of 15° in 200,000 years.f, and to have been, at the epoch of 1491, in longitude 5, 21°, 40’, 20’, from the beginning of the zodiac. It follows, therefore, that in the year 3102 before Curist, the longitude of Jupiter's aphelion was 3°, 27°, oO, reckoned from the equinox. Now, the fame, computed from M. pe LA Lanpe’s tables, is only 3°, 16°, 48’, 58” 3 fo that there would feem to be an error of more than ro° in the tables of the Brahmins. But, if it be confidered, that Jupiter’s orbit is * Aft. Ind. p. 181. + Ibid. p. 184. § 13. 168 REMARKS on the is fubject to great difturbances, from the action of Saturn, which M. pz ra LanbeE does not profefs to have taken into account, we will be inclined to appeal once more to M. DE LA GRANGeE’s formulas, before we pafs fentence againft the Indian aftronomy *. From one of thefe formulas, we find, that the true place of the aphelion of Jupiter, at the time above mentioned, was 3°, 26°, 50’, 40”, which is but 10’, 40”, different from the tables of Chrifnabouram. The French and Indian tables are therefore both of them exaét, and only differ becaufe they are adapted to ages near five thoufand years diftant from one another. 41. THE equation of Saturn’s centre is an inftance of the fame kind. That equation, at prefent, is, according to M. DE LA Lanpg, 6°, 23’, 19”; and hence, by means of one of the formulas above mentioned, M. Barty calculates, that, 3102 years before CurisT, it was 7°, 41’, 22” +. The tables of the Brahmins make it 7°, 39, 44”, which is lefs only by 1’, 38”, than the preceding equation, though greater than that of the prefent century by 1°, 16, 25”. 42. M. Baritty remarks, that the equations for the other planets are not given with equal accuracy, and afford no more fuch inftances as the former. But it is curious to obferve, that new refearches into the effeéts,of gravitation, have difcovered new coincidences of the fame kind; and that the two great geometers, who have fhared between them the glory of per- feCting the theory of difturbing forces, have each contributed his part to eftablifh the antiquity of the Indian aftronomy. Since the publication of M. BaiLty’s work, two other inftances of am exact agreement, between the elements of thefe tables, and the conclufions deduced from the theory of gravity, have been obferved, and communicated to him by M. pE LA Puace, ina letter, inferted in the Sfournal des Savans. In * Mem. Acad. Berlin. 1782, p. 246. Aft, Ind. p. 186. + Aft. Ind. p. 188. iets ASTRONOMY of the BRAHMINS. 169 In feeking for the caufe of the fecular equations, which mo- dern aftronomers have found it neceflary to apply to the mean motion of Jupiter and Saturn, M. pe La Piace has difcovered, that there are inequalities belonging to both thefe planets, arifing from their mutual action on one another, which have long periods, one of them no lefs than 877 years; fo that the mean motion muft appear different, if it be determined from obfervations made in different parts of thofe periods. ‘“ Now, “I find,” fays he, “ by my theory, that at the Indian epoch * of 3102 years before CurisT, the apparent and annual “mean motion of Saturn was 12°, 13’, 14”, and the Indian “tables make it 12°, 13’, 13”. “In like manner, I find, that the annual and apparent mean “motion of Jupiter at that epoch was 30°, 20°, 42”, precifely as in the Indian aftronomy *.” 43. THus have we enumerated no lefs than nine aftronomi- cal elements }, to which the tables of India affign fuch values as do, by no means, belong to them in thefe later ages, but fuch as the theory of gravity proves to have belonged to them three thoufand years before the Chriftian era. At that time, therefore, or in the ages preceding it, the obfervations muft have been made from which thefe elements were deduced. For it is abundantly evident, that the Brahmins of later times, however willing they might be to adapt their tables to fo re- -markable an epoch as the Calyougham, could never think of doing fo, by fubftituting, inftead of quantities which they had obferved, others which they had no reafon to believe had ever _ exifted. The elements in queftion are precifely what thefe Vor. Il. y aftronomers * Efprit des Journeaux, Nov. 1787. p. 80. . t+ Tue inequality of the preceffion of the equinoxes, ({ 22.) ; the acceleration of the moon ; the Jength of the folar year ; the equation of the fim’s centre; the obliquity of the ecliptic} the place of Jupiter’s aphelion ; the equation of Saturn’s centre ; and the inequalities in the mean motion of both thefe planets. 170 REMARKS on the aftronomers muft have fuppofed invariable, and of which, had they fuppofed them to change, they had no rules to go by for afcertaining the variations; fince, to the difcovery of thefe rules is required, not only all the perfection to which aftro- nomy is, at this day, brought in Europe, but all that which the fciences of motion and of extenfion have likewife attained. It is no lefs clear, that thefe coincidences are not the work of accident; for it will fcarcely be fuppofed that chance has adjufted the errors of the Indian aftronomy with fuch fingu- lar felicity, that obfervers, who could not difcover the true {tate of the heavens, at the age in which they lived, have fuc- ceeded in defcribing one which took place feveral thoufand years before they were born. 44. THE argument, however, which regards the originality of thefe tables, is, in fome meafure, incomplete, till we have confidered the geometrical principles which have been employed in their conftruction. For it is not impoflible, that when feen connected by thofe principles, and united into general theo- rems, they may be found to have relations to the Greek aftro- nomy, which did not appear, when the parts were examined fingly. On this fubject, therefore, I am now to offer a few ob- fervations. 45. Tue rules by which the phenomena of eclipfes' are de- duced from the places of the fun and moon, have the moft immediate reference to geometry ; and of thefe rules, as found among the Brahmins of Tirvalore, M. LE GenTIL has given a full account, in the Memoir that has been fo often quoted. We have alfo an account of the method of calculation ufed at Chrifnabouram by Father pu Cuamp*. Ir is a neceflary preparation, in both of thefe, to find the time of the fun’s continuance above the horizon, at the place and the - day for which the calculation of an eclipfe is made, and the rule by which the Brahmins refolve this problem, is extremely fimple * and * Aft. Ind. p. 355, &c. ’ ASTRONOMY of the BRAHMINS. 171 and ingenious. At the place for which they calculate, they obferve the fhadow of a gnomon on the day of the equinox, at noon, when the fun, as they exprefs it, is in the middle of the world. The height of the gnomon is divided into 720 equal parts, in which parts the length of the fhadow is alfo meafured. One third of this meafure is the number of mi- nutes by which the day, at the end of the firft month after the equinox, exceeds twelve hours ;. four-fifths of this excefs is the increafe of the day during the fecond month; and one third of it is the increafe of the day, during the third month *, 46. Ir is plain, that this rule involves the fuppofition, that, when the fun’s declination is given, the fame ratio every where exifts between the arch which meafures the increafe of the day - at any place, and the tangent of the latitude; for that tangent is the quotient which arifes from dividing the length of the fhadow by the height of the gnomon. Now, this is not ftrictly true; for fuch a ratio only fubfifts between the chord of the arch, and the tangent above mentioned. ‘The rule is, therefore, but an approximation to the truth, as it neceflarily fuppofes the arch in queftion to be fo fmall as to coincide nearly with its chord. ‘This fuppofition holds only of places in low lati- tudes; and the rule which is founded on it, though it may fafely be applied in countries between the tropics, in thofe that are more remote from the equator, would lead into errors too confiderable to efcape obfervation |. y 2 As * Mem. Acad. des Scien. II. P. 175. + To judge of the accuracy of this approximation, fuppofe O to be the obliquity of the ecliptic, and x the excefs of the femidiurnal arch, on the longeft day, above an arch of go°, then fin.x = tan.O xtan.lat. Butif G be the height of a gnomon, and $ S 5 the length of its fhadow on the equinottial day, Gi fat. and fin. x = tan.O x remy | tan.O} x §3 05x Ss Therefore x = tan.O x Ss gn MLS tan.O* X ri ie + Medica ++ &c. or in minutes of time, 172 REMARKS on the As fome of the former rules, therefore, have ferved to fix the time, fo does this, in fome meafure, to afcertain the place of its invention. It is the fimplification of a general rule, adapted to the circumftances of the torrid zone, and fuggefted to the aftronomers of Hindoftan by their peculiar fituation. It implies the knowledge of the circles of the fphere, and of {phe- rical trigonometry, and perhaps argues a greater progrefs in mathematical reafoning, than a theorem that was perfedtly ac- curate would have done. The firft geometers muft naturally have dreaded nothing fo much as any abatement in the rigour of their demonftrations, becaufe they would fee no limits to the error and uncertainty, in which they might, by that means, be involved. It was long before the mathematicians of Greece underftood how to fet bounds to fuch errors, and to afcertain their utmoft extent, whether on the fide of excefs or defe& ; in this art, they appear to have received the firft leffons fo late as the age of ARCHIMEDES. ; 47. THE s time, reckoned after the Indian manner, x» = 572.957 (tan.O x |= + tan.0? x 93 Gr + &e.) Ir O = 24°, then tan.O = .4452, and the firft term of this formula gives « = 572.957 X “taste = 5s, which is the fame with the rule of the Brahmins.. : A 7205 ( I 4 I ) For th le, reduced into a fi ! ax = ——(—+ — + 3 or that rule, reduced into a formula, is 2x ra pt ae eS = Ores = endl Wuey have therefore computed the coefficient of = with fufficient accuracy 5 the error produced by the omiffion of the reft of the terms of the feries will not exceed 1’, even at the tropics, but, beyond them, it increafes faft, and, in the latitude of 45%, would amount. to 9’. nF ASTRONOMY of the BRAHMINS. £73 47. Tue Brahmins having thus obtained the variations of the length of the day, at any place, or what we call the afcen- fional differences, apply them likewife to another purpofe. As they find it neceffary to know the point of the ecliptic, which is on the horizon, at the time when an eclipfe happens, they have calculated a table of the right afcenfions of the points of the ecliptic in time, to which they apply the afcenfional dif- ferences for the place in queftion, in order to have the time which each of the figns takes to defcend below the horizon of that place*. This is exactly the method, as is well known, which the moft fkilful aftronomer, in like circumftances, would purfue. Their table of the differences of right afcenfion is but for a few points in the ecliptic, viz. the beginning of each fign, and is only carried to minutes of time, or tenths of a degree. It is calculated, however, fo far as it goes, with per- fe& accuracy, and it fuppofes the obliquity of the ecliptic, as before, to be twenty-four degrees. Sucu calculations could not be made without {fpherical tri- gonometry, or fome method equivalent to it. If, indeed, we would allow the leaft {kill poffible to the authors of thefe tables, we may fuppofe, that the arches were meafured on the circles of a large globe, or armillary fphere, fuch as we know to have been one of the firft inftruments of the Egyptian and Greek aftronomers. But there are fome of the tables where the arches are put down true to feconds, a degree of accuracy which a mechanical method can fcarcely have afforded. 48. In another part of the calculation of eclipfes, a direct application is made of one of the moft remarkable propo- fitions in geometry. In order to have the femiduration of a folar eclipfe, they fubtra&t from the fquare of the fum of the femidiameters of the fun and: moon, the fquare of a certain Tine, which is a perpendicular from the centre of the fun on the path of the moon; and from the remainder, they extract the ¥ Acad, des Scien. 1772, II, P. 205. 174 REMARKS on the the fquare root, which is the meafure of the femiduration *, The fame thing is pra¢tifed in lunar eclipfes +. Thefe opera- tions are all founded on a very diftinet conception of what hap- pens in the cafe of an eclipfe, and on the knowledge of this theorem, that, in a right-angled triangle, the fquare on the hypothenufe is equal to the {quares om the other two fides. It is curious to find the theorem of PyTHAGORAs in India, where, for aught we know, it may have been difcovered, and from whence that phtlofopher may have derived fome of the folid, as well as the vifionary fpeculations, with which he delighted to inftruct or amufe his difciples. 49. We have mentioned the ufe that is made of the femi- diameters of the fun and moon in thefe calculations, and the method of afcertaining them, is deferving of attention. For the fun’s apparent diameter, they take four-ninths of his diurnal motion, and for the moon’s diameter, one twenty- fifth of her diurnal motion. In an eclipfe, they fuppofe the fection of the fhadow of the earth, at the diftance of the moon, to have a diameter five times that of the moon; and in all this, there is confiderable accuracy, as well as great fimpli- city. The apparent diameters of the fun and moon, increafe and diminifh with their angular velocities ; and though there be a miftake in fuppofing, that they do fo exactly in the fame proportion, it is one which, without telefcopes and microme- ters, cannot eafily be obferved. The fection of the earth’s fha- dow, likewife, if the fun’s apparent diameter be given, in- creafes as the moon’s increafes, or as her diftance from the earth diminifhes, and nearly enough in the fame ratio to juftify the rule which is here laid down. so. Tue hiftorian of the Academy of Sciences, in giving an account of M. rz GEenrTiL’s Memoir, has juftly obferved, that the * Mem. Acad. des Scien. 1772, II. P. 259. + Ibid. 241. aah, f — ASTRONOMY of th BRAHMINS. 175 the rule defcribed in it, for finding the difference between the true and apparent conjunction, at the time of a folar eclipfe, contains the calculation of the moon’s parallax, but fubftitutes the parallax in right afcenfion for the parallax in longitude * ; an error which the authors of this aftronomy would probably have avoided, had they derived their knowledge from the writings of Protemy. From this fuppofed parallax in longi- tude, they next derive the parallax in latitude, where we may obferve an application of the doctrine of fimilar triangles ; for they fuppofe the firft of thefe to be to the laft in the conftant ratio of 25 to 2, or nearly as the radius to the tangent of the inclination of the moon’s orbit to the plane of the ecliptic. We have here, therefore, the application of another geometrical theorem, and that too proceeding on the fuppofition, that a fmall portion of the fphere, on each fide of the point which the fun occupies at the middle of the eclipfe, may be held to coin- cide with a plane touching it in that point. 51. Tue refult which the Brahmins thus obtain will be al- lowed to have great accuracy, if it be confidered how fimple their rules are, and how long it mutt be fince their tables were corrected by obfervations. In two eclipfes of the moon, calculated in India by their method, and likewife obferved there by M. Le GenrTit, the error, in neither cafe, exceeded hg 23 of time, (correfponding to one of 13 of a degree, in the place of the moon); and in the duration and magni- tude of the eclipfe, their calculation came ftill nearer to the 52. SINCE * Hift. Acad. II. P. 109. Ibid. Mem. 253,—256. + In the language, however, of their rules, we may trace fome marks of a fabulous and ignorant age, from which indeed even the aftronomy of Europe is not altogether free. The place of the moon’s afcending node, is with them she place of the Dragon or the Serpent ; the moon’s diftance from the node, is literally tranflated by M. re Genriz, la 176 REMARKS on the 52. SINCE an inequality was firft obferved in the motions of the fun or moon, the difcovery of the law which it follows, and the method of determining the quantity of it, in the different points of their orbits, has been a problem of the greate{t importance ; and it is curious to inquire, in what man- ner the aftronomers of India have proceeded to refolve it. For this purpofe, we muft examine the tables of the chaiaa, or equations of the centre for the fun and moon, and of the manda, or equations of the centre for the planets. With refpect to the firft, as contained in the tables of Siam, M. Cassinr obferved, that the equations followed the ratio of the fines of the mean diftances from the apogee ; but as they were calculated only for a few points of the orbit, it could not be known with what degree of exactnefs this law was obferved. Here, however, the -tables of Chrifnabouram remove the uncertainty, as they give the equation of the centre for every degree of the mean mo- tion, and make it nearly as the fine of the diftance from the - apogee. Tuey do fo, however, only nearly ; and it will be found on trial, that there is, in the numbers of the table, a fmall, but re- gular variation from this law, which is greateft when the ar- gument is 30°, though even there it does not amount to a mi- nute. The fun’s equation, for inftance, which, when greateft, or when the argument is go°, is, by thefe tables, 2°, to’, 32”, fhould be, when the argument is 30°, juft the half of this, or 1°, 5°, 16’, did the numbers in the table follow exactly the ratio Ja lune offenfée du dragon. Whether it be that we have borrowed thefe abfurdities from India, along with aftrology, or if the popular theory of eclipfes has, at firft, been every where the fame, the moon’s node is alfo known with us by the name of the cauda dra- | conis. In general, however, the fignification of the terms in thefe rules, fo far as we know it, is more rational. In one of them we may remark confiderable refinement; ayanang fam, which is the name for the reduétion made on the fun’s longitude, on account of the preceflion of the equinoxes, is compounded from ayanam, a courfe, and ang/am, an atom. Mem. Acad. II. P. 251. The equinox is almoft the only point not diftin- guithed by a vifible obje€&t, of which the cour/é or motion is computed in this aftronomy. ASTRONOMY of th BRAHMINS. 177 Fatio of the fines of the argument. It is, however, 1°, 6, 3” 5 and this excefs of 47” cannot have arifen from any miftake about the ratio of the fine of 30° to that of go°, which is fhewn to be that of t to 2, by a propofition in geometry * much too fimple to have been unknown to the authors of thefe tables. The rule, therefore, of the equations, being propor-~ tional exadtly to the fines of the argument, is nof what was - followed, or intended to be followed, in the calculation of them. The differences, alfo, between the numbers computed by that rule, and thofe in the tables, are perfectly regular, de- ereafing from the point of 30°, both ways toward the begin- ning and end of the quadrant, where they vanith altogether. ¥ Tuese obfervations apply alfo to. the tables of Narfapur +, _ and to the moon’s equations, as well as to the fun’s, with a cir- cumftance, however, which is not eafily accounted for, viz. that the differences between the numbers. calculated by M. Cas- siNi’s rule, and thofe in the tables, are not greater in. the cafe of the moon than of the fun, though the equation of the latter be more than double that of the former. They apply alfo to the tables manda of the planets, where the equations are greater than the ratio of the fines of their arguments requires, the ex- _ cefgs being greateft at 30°, and amounting to fome minutes in _ the equations of Saturn, Jupiter and Mars, in which laft it is: _ greateft-of all: 53» Tuoucu, for thefe reafons, it is plain, that the rule of __ M. Cassini is not the fame with that of the Brahmins, it cer- _ tainly includes the greater part of it; and if the latter, what- ever it may have been, were exprefled in a feries, according to _ the methods of the modern analyfis, the former would be the firft term of that feries. We are not, however, much advanced in our inquiry in confequence of this remark; for the firft terms of all the feries, which can, on any hypothefis, expre(s ' Vox. II. % the _ * Eve. Lib. IV. Prop. 15. _ + See thefe tables, Aft. Ind. p. 414. 178 REMARKS on the the relation of the equation of the centre to the anomaly of a planet, are fo far the fame, that they are proportional to the fine of that anomaly; and it becomes therefore neceflary to fearch among thefe hypothefes, for that by which the feries of fmall differences, defcribed above, may be beft reprefented. It is needlefs to enter here into any detail of the reafonings by which this has been done, and by which I have found, that the argument in the table bears very nearly the fame relation to the correfponding numbers, that the anomaly of the eccentric does to the equation of the centre. By the anomaly of the eccentric, however, I do not mean the angle which is known by that name in the folution of KEPLER’s problem, but that which ferves the fame purpofe with it, on the fuppofition of a circular orbit, and an uniform an- gular motion about a point which is not the centre of that orbit, but which is as diftant from it, on the one fide, as the earth (or the place of the obferver) is on the other. It is the angle, which, in fuch an orbit, the line drawn from the planet to the centre, makes with the line drawn from thence to the apogee ; and the argument in the Indian tables coincides with this angle. Turis hypothefis of a double eccentricity, is certainly not the fimpleft that may be formed with refpeét to the motion of the heavenly bodies, and is not what one would expect to meet with here ; but it agrees fo well with the tables, and gives the equa- tions from the arguments fo nearly, efpecially for the moon and the planets, that little doubt remains of its being the real hy- pothefis on which thefe tables were conftructed *. 54. OF * Tue formula deduced from this hypothefis, for calculating the equation of the cen-— tre from the anomaly of the eccentric, is the following: Let « be the equation of the centre, @ the anomaly of the eccentric, e the eccentricity of the orbit, or the tangent of 2e3 fin. 2e%/in. 50 PORE fe 5 B) half the greateft equation ; then w = 2¢/in.9+ + &e. i i os ASTRONOMY of th BRAHMINS. 179 54. Or this, the method employed to calculate the place of any of the five planets from thefe tables, affords a confirma- tion. But, in reafoning about that method, it is neceflary to put out of the queftion the ufe that is made of the parallax of the annual orbit, or of the /:higram, in order to have the ar- gument for finding the equation of the centre, which is evi- dently faulty, as it makes that equation to be affected by 2 quantity, (the parallax of the annual orbit), on which it has in reality nodependence. To have the rule free from error, it is to be taken, therefore, in the cafe when there is no parallax of the annual orbit, that is, when the planets are in oppofition: or conjunction with the fun. In that cafe, the mean anomaly is firft corrected by the fubtra¢tion or addition of half the equation that belongs to it in the table. It then becomes the true argument for finding, from that fame table, the equation ef the centre, which is next applied to the mean anomaly, to: have the true. Now, this agrees perfe@tly with the conclufion above; for the’ mean anomaly, by the fubtraction or addition of half the equation belonging to it in the table, is converted,. almoft precifely, into the anomaly of the eccentric, and be- comes therefore the proper argument for finding out the equa- tion, which is to change the mean anomaly into the true *.. “There can be no doubt, of confequence, that the conclufion we have come to is ftrictly applicable to the planets, and that the orbit of each of them, in this aftronomy, is fuppofed to be a circle, the earth not being in its centre, but the angular ee velocity * Turis method of calculation is fo nearly exaét, that even’ in the orbit of Mars, the equation caleulated from the mean anomaly, rigoroufly on the principle of his angular Motion being uniform, about a point diftant from the centre, as defcribed above, will- Farely differ a minute from that which is taken out from the Indian tables by: this rule. It was remarked, (§ 37.) that it is not eafy to explain the rules for finding the argument of the equation of the centre, for the planets. What is faid here explains fully one part of that rule, w/z. the correction made by half the equation manda ; the principle on which the other part proceeds, viz. the correction by half the equation /chigram, is ftill “uncertain. 180 REMARKS on the velocity of the planet being uniform about a certain point, as far from that centre on the one fide, as the earth is on’ the op- pofite. 55. BETWEEN the ftru€ture of the tables of the equations of the fun and moon, and the rules for ufing them, there is not the fame confiftency ; for in both of them, the argument, which we have found to be the eccentric anomaly, is ne- verthelefs treated as the mean. So far as concerns the fun, this leads to nothing irreconcilable with our fuppofition, becaufe the fun’s equation being fmall, the difference will be inconfiderable, whether the argument+of that equation be treated as the eccen- tric or the mean anomaly. Bur it is otherwife with refpect to the moon, where the dif- ference between confidering the argument of the equation as the mean, or as the eccentric anomaly, is not infenfible. The authority of the precepts, and of the tables, are here oppofed to one another ; and we can decide in favour of the latter, only becaufe it leads to a more accurate determination of the moon’s place than the former. It would indeed be an improvement on their method of calculation, which the Brahmins might make confiftently with the principles of their own aftronomy, to ex- tend to the moon their rule for finding the equation of the centre for the planets. They would then avoid the palpable error of making the maximum of the moon’s equation at the time when her mean anomaly is 90°, and would afcertain her place every where with greater exactnefs. It is probable that this is the method which they were originally directed to follow. 56. From the hypothefis which is thus found to be the bafis of the Indian aftronomy, one of the firft conclufions which pre- fents itfelf, is the exiftence of a remarkable affinity between the fyftem of the Brahmins and that of Protemy. In the latter, the fame thing was fuppofed for the five planets, that : st — ca ASTRONOMY of th BRAHMINS. 181 that appears in the former to have been univerfally eftablifhed, viz. that their orbits were circles, having the earth within them, but removed at a fmall diftance fromthe centre, and that each planet defcribed the circumference of its orbit, not with an uniform velocity, but with one that would appear uni- form, if it were viewed from a point as far above the centre of the orbit, as that centre is above the earth. This point was, in the language of Proxtemy’s aftronomy, the centre of the Equant. Now, concerning this coincidence, it is the more difficult to judge, as, on the one hand, it cannot be afcribed to accident, and, on the other, it may be doubted, whether it arifes necef- farily out of the nature of the fubjeé, or is a confequence of fome unknown communication between the aftronomers of India and of Greece. Tue firft hypothefis by which men endeavoured to explain the phenomena of the celeftial motions, was that of a uniform motion in a circle, which had the earth for its centre. This hypothefis was, however, of no longer continuance than till inftruments of tolerable exactnefs were directed to the heavens. It was then immediately difcovered, that the earth was not the centre of this uniform motion; and the earth was therefore fuppofed to be placed at a certain diftance from the centre of the orbit, while the planet revolved in the circumference of it with the fame velocity as before. Both thefe ftepg may be ac- counted neceffary ; and in however many places of the earth, and however cut off from mutual intercourfe, aftronomy had ~ begun to be cultivated, I have no doubt that thefe two fuppo- fitions would have fucceeded one another, juft as they did among the Greek aftronomers. But when more accurate obfervations had fhewn the infuffi- “ciency even of this fecond hypothefis, what ought naturally to be the third, may be thought not quite fo obvious ; and if the - Greeks made choice of that which has been defcribed above, it may 182 REMARKS ona the may feem to have been owing to certain metaphyfical notions concerning the fimplicity and perfedtion of a circular and uni- form motion, which inclined them to recede from that fuppo- fition, no farther than appearances rendered abfolutely necef- fary. The fame coincidence between the ideas of metaphyfics. and aftronomy, cannot be fuppofed to have taken place in other countries ; and therefore, where we find this third hypo- thefis to have prevailed, we may conclude that it was borrowed! from the Greeks. 57. THOUGH it cannot be denied, that, in this reafoning, there: is fome weight, yet it muft be obferved, that the introdu@tion of the third hypothefis did not reft among the Greeks altoge- ther on the coincidence above mentioned. It was one fuited to. their progrefs in mathematical knowledge, and offered almoft the only fyftem, after the two former were exploded, which rendered the planetary motions the fubjeét of geometrical rea- foning, to men little: verfed in the methods of approximation. This was the circumftance then, which, more than any other, probably influenced them in the choice of this. hypothefis, though we are not to look for it as an argument ftated in their works, but may judge of the influence it had, from the fre- quency with which, many ages afterwards, the wyeanerenoim of KEpLeR’s fyftem was objected to him by his adverfaries ; an objection to which that great man feemed to pay more attention: than it deferved. THERE is reafon therefore to think, that in every country where aftronomy and geometry had neither of them advanced’ beyond a certain point, the hypothefis of the equant. would fue- ceed to that of a fimple eccentric orbit, and therefore cannot be admitted as a proof, that the different fyftems in which it makes a part, are neceflarily derived from the fame fource. Some other circumftances attending this hypothefis, as it is: found in the Indian tables, go {till farther, and feem: quite in- confiftent with the fuppofition that the authors of thefe tables derived ASTRONOMY of th BRAHMINS. 183 derived it from the aftronomers of the weft. For, fiz/?, It is ap- plied. by them to all the heavenly bodies, that is, to the fun and moon, as well as the planets. With Protemy, and with all thofe who founded their fyftems on his, it extended only to the latter, infomuch that Kepier’s great reformation in aftro- nomy, the difcovery of the elliptic orbits, began from his proving, that the hypothefis of the equant was as neceflary to be introduced for the fake of the fun’s orbit, as for thofe of the planets, and that the eccentricity in both cafes, muft be bifeéted. It is, therefore, on a principle no way different from this of Kepier, that the tables of the fun’s motion are com- puted in the Indian aftronomy, though it muft be allowed, that - the method of ufing them is not perfeély confiftent with this idea of their conftruction. , 2dly, Tue ufe made of the anomaly of the eccentric in thefe tables, as the argument of the equation of the centre, is alto- gether peculiar to the Indian aftronomy. PTroLEemy’s ta- bles of that equation for the planets, though they proceed on the fame hypothefis, are arranged in a manner entirely diffe- rent, and have for their argument the mean anomaly. The angle which we call the anomaly of the eccentric, and which is of fo much ufe in the Indian tables, is not employed at all in the conftruction of his *, nor, I believe, in thofe of any other aftronomer till the time of KEpLer; and even by KEpLer it was not made the argument of the equation to the centre. The method, explained above, of converting the mean anomaly into that of the eccentric, and confequently into the argument of the equation, is another peculiarity, and though fimple and ingenious, has not the accuracy fuited to the genius of the Greek aftronomy, which never admitted even of the beft ap- proximation, when a rigorous folution could be found ; and, on the whole, if the refemblance of thefe two fyftems, even with all the exceptions that have been ftated, muft ftill be afcribed to * Almageft. lib. XI. cap. 9. & 10. 184 REMARKS on the to fome communication between the authors of them, that com- munication is more likely to have gone from India to Greece, than in the oppofite direction. It may perhaps be thought to favour this laft opinion, that Protemy has no where demon- ftrated the neceflity of afligning a double eccentricity to the orbits of the planets, and has left room to fufpe@t, that autho- rity, more than argument, has influenced this. part of his. fy{ftem. 58. In the tables of the planets, we remarked another equation). (fbigram) anfwering to the parallax of the earth’s orbit, or the difference between the heliocentric and the geocentric place of the planet. This parallax, if we conceive a triangle to be formed by lines drawn from the fun to the earth and to the planet, and alfo from the planet to the earth, is the angle of that triangle, fubtended: by the line drawn from the fun to the — earth. And fo, accordingly, it is computed in thefe tables ; for if we refolve fuch a triangle. as is here defcribed, we will find the angle, fubtended by the earth’s diftance from the fun, coin- cide very nearly with the {chigram. THE argument of this equation is the difference between the mean longitude of the fun and of the planet. The orbits are fuppofed circular ; but whether the inequality in queftion was underftood to arife from the motion of the earth, or from the motion of the planet in an epicycle, the centre of which re- volves in a circle, is left undetermined, as both hypothefes: may be fo adjufted. as to give the fame refult with refpedt to this in- equality. The proportional diftances of the planets from the earth or the fun, may be deduced from the tables of thefe equa- tions, and are not far from the truth, 59. THE preceding calculations muft have required the af- fiftance of many fubfidiary tables, of which no trace has yet been found in India. Befides many other geometrical propofi+ tions, fome of them alfo involve the ratio, which the diameter of a circle was fuppofed to bear to its circumference, but which: we: > . ¥ i a, in i wh ia 4 F r - ASTRONOMY of th BRAHMINS. 185 we would find it impoflible to difcover from them exadly, on account of the {mall quantities that may have been neglected in their calculations. Fortunately, we can arrive at this know- ledge, which is very material when the progrefs of geo- metry is to be eftimated, from a paflage in the Aycen Ak- bery, where we are told, that the Hindoos fuppofe the dia- meter of a circle to be to its circumference as 1250 to 3927, and where the author, who knew that this was more accuraté: than the proportion of ARCHIMEDES, (7 to 22), and believed it to be perfeétly exact, expreffes his aftonifhment, that among fo fim- ple a people, there fhould be found a truth, which, among the wifeft and moft learned nations, had been fought for in vain. . THE proportion of I250 to 3927 is indeed a near ap- proach to the quadrature of the circle; it differs little from. that of METIUS, 113 to 355, and is the fame with one equally remarkable, that of 1 to 3.1416. When found in the fimpleft and moft elementary way, it requires a poly- gon of 768 fides to be infcribed in a circle; an operation which cannot be arithmetically performed without the know- ledge of fome very curious properties of that curve, and, at leaft, nine extractions of the fquare root, each as far as ten _ places of decimals. All this muft have been accomplifhed in India; for it is to be obferved, that the above mentioned . ? _ proportion cannot have been received from the mathemati- X cians of the weft. The Greeks left nothing on this fubject more accurate than the theorem of ARcHIMEDES; and the Ara- _ bian mathematicians, feem not to have attempted any nearer approximation. The geometry of modern Europe can much. _ lefs be regarded as the fource of. this knowledge. Mertrus and: * Virta were the firft, who, in the quadrature of the circle, _ furpaffed the accuracy of ArcuimeEDEs; and they flourifhed _ atthe very time when the Inftitutes of AkBAR were collected ‘ sebicie “in India. VoL. IL. aa : ; 60, Cx * Ayeen Akbery, Vol. III. p. 32.. 186 REMARKS on the 60. On the grounds which have now been explained, the following general conclufions appear to be eftablifhed. I, Tue obfervations on which the aftronomy of India is found- ed, were made more than three thoufand years before the Chri- {tian era ; and, in particular, the places of the fun and moon, at the beginning of the Calyougham, were determined by actual ob- fervation. Tuts follows from the exact agreement of the radical places in the tables of Tirvalore, with thofe deduced for the fame epoch from the tables of Dz 1a CarLLe and Mayer, and efpe- cially in the cafe of the moon, when regard is had to her acce- leration. It follows, too, from the pofition of the fixed ftars in refpect of the equinox, as reprefented in the Indian zodiac; from the length of the folar year; and, laftly, from the pofi- tion and form of the orbits of Jupiter and Saturn, as well as their mean motions ; in all of which, the tables of the Brah- mins, compared with ours, give the quantity of the change that has taken place, juft equal to that which the action of the planets on one another may be fhown to have produced, in the {pace of forty-eight centuries, reckoned back from the beginning of the prefent. Two other of the elements of this aftronomy, the equation of the fun’s centre, and the obliquity of the ecliptic, when compared with thofe of the prefent time, feem to point toa period ftill more remote, and to fix the origin of this aftronomy 1000 or 1200 years earlier, that is, 4300 years before the Chri- ftian era; and the time neceflary to have brought the arts of calculating and obferving to fuch perfe@tion as they muft have attained at the beginning of the Calyougham, comes in fupport of the fame conclufion. Or fuch high antiquity, therefore, muft we fuppofe the ori- gin of this aftronomy, unlefs we can believe, that all the coin- cidences ASTRONOMY of th BRAHMINS. 187 cidences which have been enumerated, are but the effects of chance ; or, what indeed were ftill more wonderful, that, fome ages ago, there had arifen a NEWTON among the Brahmins, to difcover that univerfal principle which conneéts, not only the moft diftant regions of fpace, but the moft remote periods of duration; and a Dr 1A GRANGE, to trace, through the im- menfity of both, its moft fubtle and complicated operations. II. Tuouceu the aftronomy which is now in the hands of the Brahmins, is fo ancient in its origin, yet it contains many rules and tables that are of later conftrudtion. Tue firft operation for computing the moon’s place from the tables of Tirvalore, requires that 1,600,984 days fhould be fub- tracted from the time that has elapfed fince the beginning of the Calyougham, which brings down the date of the rule to the year 1282 of our era. At this time, too, the place of the moon, and of her apogee, are determined with fo much exact- nefs, that it muft have been done by obfervation, either at the inftant referred to, or a few days before or after it. At this time, therefore, it is certain, that aftronomical obfervations were made in India, and that the Brahmins were not, as they are now, without any knowledge of the principles on which their rules are founded. When that knowledge was loft, will not perhaps be eafily afcertained ; but there are, I think, no. cireumftances in the tables from which we can certainly infer the exiftence of it ata later period than what has juft been mentioned ; for though there are more modern epochs to be found in them, they are fuch as may have been derived from. the moft ancient of all, by help of the: mean motions in the: tables of Chrifnabouram *, without any other fkill than is re- quired to an ordinary calculation. Of thefe epochs, befide what have been occafionally mentioned in the courfe of our remarks, there is one (involved in the tables of Narfapur) as late as the _ year 1656,:and another as early as the year 78 of our era, yee which * Aft. Ind. p. 307. 188 REMARKS on the which marks the death of SatrvAGANAM, one of their princes, in whofe reign a reform is faid to have taken piace in the me-— ‘thods of their aftronomy. There is no reference torany inter= ‘mediate date, from that time to the beginning of the Caly- ougham. 7 THE parts of this aftronomy, therefore, are not all of the fame antiquity ; nor can we judge, merely from the epoch to which the tables refer, of the age, to which they were originally adapted. We have feen, that the tables of Chrifnabouram, though they profefs to be no older than the year 1491 of our era, are, in reality, more ancient than the tables of Tirvalore, which are dated from the Calyougham, or at leaft have under- gone fewer alterations. This we concluded from the flow mo- - tion given to the moon, in the former of thefe tables, which agreed, with fuch wonderful precifion, with the fecular equa- tion applied to that planet by Mayer, and explained by M. DE LA PLACE. Bur it appears, that neither the tables of Tirvalore or Chrif- nabouram, nor any with which we are yet acquainted, are the moft ancient to be found in India. The Brahmins conftantly refer to an aftronomy at Benares, which they emphatically ftyle the ancient *, and which they fay is not now underftood by them, though they believe it to be much more accurate than that by which they calculate. That it is more accurate, is improbable; that it may be more ancient, no one who has duly attended to the foregoing facts and reafonings, will think im- poflible ; and every one, I believe, will acknowledge, that no greater fervice could be rendered to the learned world, than to refcue this precious fragment from obfcurity. If that is ever to be expected, it is when the zeal for knowledge has formed a literary fociety among our countrymen in Bengal, and while that fociety is dire€ted by the learning and abi- lities of Sir Witt1am Jones. Indeed, the farther difcove- ries * Aft. Ind. p. 309. M. ve Genrit, Mem. Acad. Scien, 1772. P. IL. p. 221. ASTRONOMY of the BRAHMINS. 189 ries which may be made with refpect to this f{cience, do not in- tereft merely the aftronomer and the mathematician, but every one who delights to mark the progrefs of mankind, or is curious to look back on the ancient inhabitants of the globe. Ik is through the medium of aftronomy alone that a few rays from thofe diftant objects can be conveyed in fafety to the eye of a modern obferver, fo as to afford him a light, which, though it be fcanty, is pure and unbroken, and free from the falfe co- lourings of vanity and fuperftition. Ill. Tue bafis of the four fyftems of aftronomical tables: which we have examined, is evidently the fame. Tuoucs thefe tables are fcattered over an extenfive country, they feem to have been all originally adapted, either to the fame meridian, or to meridians at no great diftance, which traverfe what we may call the claflical ground of India, marked by the ruins of Canoge, Palibothra and Benares.., They contain rules that have originated between the tropics ; whatever be their epoch, they are all, by their mean motions, connected with that of the Calyougham ; and they have befides one uniform cha- racter which it is perhaps not eafy to defcribe. Great ingenuity has been exerted to fimplify their rules ; yet, in no inftance al- moft, are they reduced to the utmoft fimplicity ; and when it happens that the operations to which they lead are extreme- | ly obvious, thefe are often involved in an artificial obfcu- rity. A Brahmin frequently multiplies by a greater number than is neceflary, where he feems to gain nothing but the trouble of _ dividing by one that is greater in the fame proportion ; and he _ calculates the era of SALIVAGANAM with the formality of as ~ many diftint operations as if he were going to determine the moon’s motion fince the beginning of the Calyougham. The fame {pirit of exclufion, the fame fear of communicating his knowledge, feems to direct the calculus which pervades the religion of the Brahmin ; and, in neither of them, is he willing to receive or to impart inftruétion. With all thefe circumftances of refem- blance, 390 REMARKS on the blance, the methods of this aftronomy are as much diverfified as we can fuppofe the fame fyftem to be, by pafling through the hands of a fucceflion of ingenious men, fertile in refources, and acquainted with the variety and extent of the {cience which they cultivated. A fyftem of knowledge, which is thus aflimilated to the genius of the people, that is diffufed fo widely among them, and diverfified fo much, has a right to be regarded, either as a native, or a very ancient inhabitant of the country where it is found. IV. Tue conftruction of thefe tables implies a great know- ledge of geometry, arithmetic, and even of the theoretical part of aftronomy. In proof of this, it is unneceflary to recapitulate the re- marks that have been already made. It may be proper, how- ever, to add, that the method of calculating eclipfes, to which thefe tables are fubfervient, is, in no refpect, an empirical one; founded on the mere obfervation of the intervals at which eclipfes return, one after another, in the fame order. It is indeed remarkable, that we find no trace here of the pe- riod of 6585 days and 8 hours, or 223 lunations, the Saros of the Chaldean aftronomers, which they employed for the pre--""=— dition of eclipfes, and which (obferved with more or lefs ac- curacy) the firft aftronomers every where muft have employed, before they were able to analyfe eclipfes, and to find out the laws of every caufe contributing to them. That empirical me- thod, if it once exifted in India, is now forgotten, and has long fince given place to the more fcientific and accurate one, which offers a complete analyfis of the phenomena, and calcu- lates, one by one, the motions of the fun, of the moon, and of the node. But what, without doubt, is to be accounted the greateft refinement in this fyftem, is the hypothefis employed in calcu- lating the equations of the centre for the fun, moon and pla- nets, that, viz. of a-circular orbit having a double eccentricity, or ASTRONOMY of th BRAHMINS. Ig or having its centre in the middle, between the earth and the point about which the angular motion is uniform*. If to this we add the great extent of geometrical knowledge requifite to combine * Tr fhould have been remarked before, that M. Barty has taken notice of the ana- logy between the Indian method of calculating the places of the planets, and Pro- temy’s hypothefis of the equant, though on different principles from thofe that have been followed here, and fuch as do not lead to the fame conclufion. In treating of the queftion, whether the fun or earth has been fuppofed the centre of the planetary motions by the authors of this aftronomy, he fays, “‘ Ils femblent avoir reconnu que les ‘ deux inégalités (l’équation du centre et la parallaxe de l’orbe annuel) etoient vues de “¢ deux centres differens ; et dans l’impoflibilité of ils étoient de déterminer et le lieu et ‘* la diftance des deux centres, ils ont imaginé de rapporter les deux inégalités 4 un point ‘ qui tint le milieu, c’eft-a-dire, 4 un point également éloigné du foleil, et de la terre. “ Ce nouveau centre refemble aflez au centre de l’équant de Protemez. (Att. Ind. Difc. Prel. p. 69.) The fictitious centre, which M. Baitty compares with the equant of Proremy, is therefore a point which bife¢ts the diftance between the fun and earth, and which, in fome refpetts, is quite different from that equant; the fictitious centre, which, in the preceding remarks, is compared with the equant of Prozemy, is 2 point of which the diftance from the earth is bifected by the centre of the orbit, precifely as in the cafe of that equant. M. Barzty draws his conclufion from the ufe made of half the equation /chzgram, as well as half the equation manda, in order to find the argument of this laft equation. The conclufion here is eftablifhed, by abftracting altogether from the former, and confidering the cafes of oppofitions and conjunétions, when the latter equation only takes place. If, however, the hypothefis of the equant fhall be found of importance in the explanation of the Indian aftronomy, it muft be allowed that it was firft fuggefted by M. Baiuty, though in a fenfe very different from what it is underftood in here, and from what it was underftood in by Prouemy. For what farther relates to the parts of the aftronomy of Chaldea and of Greece, which may be fuppofed borrowed from that of India, I muft refer to the roth Chap. of the Affronomie Indienne, where that fubject is treated with great learning and ingenuity. After all, the filence of the ancients with refpect to the Indian aftro- nomy, is not eafily accounted for. The firft mention that is made of it, is by the Arabian writers ; and M. Barxry quotes a very fingular paflage, where Massoun1, an author of the rath century, fays, that Brama compofed a book, entitled, Sind-Hind, that is, Of the Age of Ages, from which was compofed the book Magéi/i, and from thence the Almageft of Proremy. Aft. Ind. Dife. prel. p. 175. Tue fabulous air of this paflage is, in fome meafure, removed, by comparing it with one from Asurraracius, who fays, that, under the celebrated At Maimon, the 7th - Khalif of Babylon, (about the year 813 of our era) the aftronomer Hasasu compofed three fets of aftronomical tables, one of which was ad regulas Sind Hind ; that is, as Mr Costarp explains it, according to the rules of fome Indian treatife of aftronomy. (Afiatic Mifcel. Vol. I. p. 34.) The Sind-Hind is therefore the name of an aftronomical book that exifted in India in the time of Hasasu, and the fame, no doubt, which Mas- soup fays was alcribed to Brama. 192 REMARKS on the, &c. combine this, and the other principles of their aftronomy together, and to deduce from them the juft conclufions ; the poffeffion of a calculus equivalent to trigonometry ; and, laftly, their ap- proximation to the quadrature of the circle, we fhall be afto- nifhed at the magnitude of that body of fcience, which mutt have enlightened the inhabitants of India in fome remote age, and which, whatever it may have communicated to the weftern nations, appears to have received nothing from them. Sucgi are the conclufions that feem to me to follow, with the higheft probability, from the fa€ts which have been ftated. They are, without doubt, extraordinary ; and have no other — i claim to our belief, except that, as I think has been fully proved, their being falfe were much more wonderful than their being true. There are but few things, however, of which the contrary is impoffible. It muft be remembered, that the whole evidence on this fubjeét is not yet before the public, and that the repofitaries of Benares may contain what is to confirm or to invalidate thefe obfervations. , XIV. On the Resotution of INDETERMINATE PRo- BLEMS. By foun LESLIE, A.M. [Read by Mr PLarFatr, Dec. 1. 1788.] \ tions is equal to that of the unknown quantities. If fimple ex- . “1, é % _ preffions only occur, the anfwers will always be found in num- concerned, the values of the unknown quantities will com- only be involved in furds, which it is impoflible to exhibit on vy arithmetical fcale, and to which we can only make a re- I eated approximation. Hence the origin of that branch of analyfis which is employed in the inveftigation of thofe pro- blems, where the number of unknown quantities exceeds that of of curiofity ; it can be applied with advantage to the her calculus. Yet the doétrine of indeterminate equations has been feldom treated in a form equally fyftematic with the other parts of algebra. The folutions commonly given are de- dof uniformity, and often require’a variety of aflumptions.. he object of this paper is to refolve the complicated expreffions ptions, by help of a fingle principle, which, though ex- tremely fimple, admits of a very extenfive application, ~ Vou. Il. bb Ler 194 On the RESOLUTION of Ler AXB be any compound quantity equal to andthe CxXD, and let m be any rational number affumed at plea- = fure ; it is manifeft that, taking equimultiples, AXmB = CxmD. — If, therefore, we fuppofe, that A = mD, it muft follow, that a Cc : afte a mB = C,or B=~—. Thus two equations of a lower dimen- © fion are obtained. If thefe be capable of farther decompofi- tion, we may affume the multiples 7 and fp, and form four — equations {till more fmple. By the repeated application of this — principle, an higher equation, if it admit of divifors, will be refolved into thofe of the firft order, the number of which ] will be one greater than that of the multiples aflumed. Hence — the number of fimple equations into which.a compound ex- | preflion can be refolved, is equal to the fum of the exponents _ of the unknown quantities in the higheft term. Wherefore a — problem can be folved by the application of this principle, only — when the aggregate /um, formed by the addition of the expo- — nents in the higheft terms of the feveral equations propofed, is a at leaft equal to the number of the unknown quantities, aes ; ther with that of the affumed multiples. WE fhall illuftrate the mode of applying our principle, in the folution of fome of the more general and ufeful problems connected with this branch of analyfis. ee tbe eee “ie ‘ PROBLEM I. Let it be anit to find two rational numbers, the di iference ¢ ( p the [quares of which shall be a given number. Let the given number be the product of a and 4; then by hypothefis, x7—y* = ab; but thefe compound quantities admit of an eafy refolution, ree (x+y) (x—y) = axd. If therefore we fuppofe x+y = ma, we fhall obtain x—y = = ; where m is r- INDETERMINATE PROBLEMS. 195 _ bitrary, and if rational,.« andy muft alfo be rational. Tranf * .pofing the firft equation, x = ma—y, and reducing the fe- _ cond, mx—my = b, and ey ate mx = b+my, and therefore, . b \ ie es =; ; whence by equality — — =: ae: = ma—y, and reducing, . qd b--ny = ma—my, and tranfpofing 2my = m*a—b, whence y = TE 7200-4 Bp 4 2h ; but x = ma—y, confequently x = case , a ‘SupPose it were required to find a number which, increafed 01 diminifhed by 10, would produce fquares. It is obvious, > hat the number may be denoted, either by x*—10, or y’+103 whente x*—10 = y*+10, and tranfpofing x*—y* = 5X4, and Sin? +4 “applying the above formulz, x = ~~; u #2, then x = 6 an d the required number 26. PROBLEM $I. 5 " i tee: hypothefis, alte = w+i, and tranfpofing *°—a? = and, by refolving into factors, (x-+a)(w—a) = y)(6—y); whence, by fubftitution, x+a-= mb—my, and = Tranfpofing the firft equation, x = mb—my—a; icing the fecond, mx—ma = poe tranfpofing, mx = matb+y matby eS Sp Te ole ree a7 boty, and therefore x = mi b—my — a, and matb+ty = ihm) ma, and tranf- . bb 2 pofing 196 On the RESOLUTION of pofing my+ty = iii aie: that_is, y =a di 4 m*b—2ma—b a ay ae = mb—my—a, and fubftituting, x = a m?*a+2mb—a m* +1 Thus, if @=5, andd= 10, andm=2; hid 4.10—4. 5—10 ~5-+4.10— ~ i= Fino 2, and « = SS#"S — 115 but (11)-F 9 5 (2)? = 125 = (r0)*-+(5)?. Cor. Ir 6 = 0, we thall obtain two fquares, the fum of which fhall be a given fquare. For y = — = Ort = and «= m*a—a 4.1 a =ai Thus, if@=1o, andm = 2, then y= sega and 4-10—10 § Xs = 6, but 644+36 = Ioo. PROBLEM It. - Fe Zo find two rational numbers, the /quares of which, together with Hi. ou sigs multiple of their product, fball be equal to a given fquare. By hypothefis, «*-+-y*-+dxy = a*, and tranfpofing x*+dxy oa @—y’, and refolving into factors, x(x-+édy) = (aty)(a—y); % whence, by aflumption, x+dy = ma—my, and x = ty | Tranf{pofing the firft aehion: x = ma—my—by ; confequen is : ly, = ma—my—by, or aty = ma—m »y—mby, and “a | by tranfpofing, my-+-mby+y = m’a—a; whence y = ; : m*—t ek aE inp ish a tnbia *% But x= ——,wherefore x = INDETERMINATE PROBLEMS. 197 443° 4+6+1 22 SUPPOSE 4 = 22, b= 3, and m=.2, thenx = vee X22 — 6. But 196+36+2 252 = 484 ‘Cor. lr 6 = 5, the hypothefis will be x*-Ly?-++xy = a*; and 2m+1 m*—t 4, as meme ees See Thus, if a= 13, and m pon i, hey = Sa ee th =, and y= Peat EBs ut 49-+64+56 ssilr6g: =~(13)% Bis. 7 hse: r Fok OB EM IV. ua 4 To ‘ied two numbers, fuch, that each, increased by unit, foal bea uare, and their fam, increafed by unit, a given fquare. , ET the numbers be denoted by «*—r and y’—1, and firft condition will be obferved. The laft requires, that -1-ty* bie: RD or w+y*—1 = a’. By tranfpofition, x7—1 a@—y*, and by refolution, ree fea yee = (at+y)(a—y) ; wh nce x+1 = ma—my, and mx—m = a-+y. Tranfpofing the firf t equation, x = ma—my—1; and tranfpofing the fecond, mx = are a+ytm aes whence ————__ = et “i and dividing, « = my—t, and mune: aty-+-m = ma—my—m, or m*a—2m—a rr RR. But Ry = ma—am—a, and therefore y= = +y+m h gic m? -+-2ma—t a Ww. cues x = ae SUPPOSE 198 On the -RESOLUTION of . 44+32—1 i SupposE a = 8, and m = 2, thenx = Een and 4.8—4—8 =i J=V =h4 and the numbers are 48 and 15; but — 48+I5+1 = 64 = (8). PROBLEM Vv. To find two Liars which, 3 a 4 unit, ‘slits beina ante ratio. By hypothefis, a:4::«°*—1:y*—13; whence the equation, ay—a = bx°—b, and by refolution, (ayta)(y—1) = (bx-+5)(x—1) ; wherefore by affumption, ay-+-a = mx—m, and my—m_= bx+b. Tranfpofing the firft, ay = mx—m—a, and dividing y = ahi: Tranfpofing the fecond, my = _ @ mx—m—a ‘hx-+b-+m, and dividing, y = eae” wherefore, 4 bu-+-b+m m , and reducing mx—m—ma = abx-+ab-+-ma, that — is, m’*x—abx = m*+ab+2ma, and therefore, x = m* ee =e? ducing, m-gy—mfe = ey—meh, and tranfpofing, m’sy—e = fing and dividing, x = : — me iy . mfg—meh, and confequently, y = a Alfo x = TE : fmth | bn: m*g—e SUPPOSE Pa a =. lf m= 2, then x= = = 95. 24—14 th Cor. Ler e = 1, and g = 13; the hypothefis will become («+f)(#+4) = y. In this cake we obtain « =" andy = 7 % and y = = 10; but 20X5 = 100 = (10)’. mf—mh . ‘ %i% mui Thus, if (x+12)(x+2), where f = 12, and b = 2, — 18 3 . : 3 12—— pam Id and m= +; thenx = i =6)and 7S ee but —_—-—rI —-—lI : 10X68 = te = r2)* PROBLEM . VII. Let it be required to find rational values of x and y, in the general - quadratic, Ax’+Bx+C = y’. ita Case Il. When the firft term is a fquare. = ye5 Dy. ee aisline bee = Y—ax’, and refolving into factors, b(«-+ +)= (y-+ax)(y—ax) ; whence, by aflumption, INDETERMINATE PROBLEMS. 201 yean . ++ = my—max, and b = Reducing the firft equa- ic on bx-te = mby—mnabx, and y = ve . Again, redu- Pine the fepbad. mb = y-+ax, and y = mb—ax ; confequently, ee = mb—ax, or mabx+be-te = m’b’—mabx, and m*b*—c therefore, % = Saba" But y = mb—ax; therefore, y = m?ab* -mb* +-ac UPPOSE eet ari4 = 7, and m= 23 then *%.= 1147-#2.40-6 = = 2, and y = he = 83 but 9.4+-7.2-+-14 ore 1. Ler a= t, the expreffion becomes x’++-bx-+-¢ = y?; fe. m*h*——c m*b* -mb® +c Was “aiid? andy = = Gibb Thus, if Wb hh g y 6 *, and m = 2; thn« = a 3, andy = 6432-4 16-44 ota: 3+4 = 25 = (5) 16-4 = $53 is 2 WHEN the third term is wanting, the exieines be- es an’ +bx =Je5 ind: in this cafe, the formule will be- m*b bemb : cary andy= 7" = Thus, if. e by reduction, 7 = cntie 52 Lea es, = — 439-4201 aid and m= 23 Meee st toute rs ce Cask 202 On the RESOLUTION of Case Il. When the third term is a fquare. Suppose C= c’, and the expreffion is axr-tbute = Ute hd By . tranfpofition, ax*+-bv = y*—c?, and by refolution, (ax+d)x = (y+ce)(y—c) ; whence by affumption, x = as and ax+s = F my—mc—b my—me. But from the fecond equation, x = er. confe- 1 my—mc—b peace ‘ De tcemb-ene \quently, ———-- = — 5 whence y= — and) ia yee 2mc+b 4 m — m*—a Suppose 3x°+5x+16 = y*, and m = 2; then « =: 16+ 7 oe AT, ane “ee = 38. But 3.(21)*+5.21-+16 ==) raga oy (38)%: . Cor. 1. Let 6 = 0; then the expreflion becomes ax?+c? m* c--ac 4 bes 2mc =e, and 2\ pe, and y= > Thus, 2x*-+9. = ae . —a if m= 2," = ne: == 6, “and roo = 9g. But 2.(6)*+9 = Seh= (9) Gor. 2 Ip b'=.'0, and ¢= 1; then a*--1 = 9’, andi 2m m* +a ; ——, andy=——. Puta = m’*—d, and we fhall obtain x - mo —a . m°—a *] 2m 2m*—d ehhh ‘: it =, and y = —>—. Hence it is evident, that x and y will be expreffed in whole numbers, when 2m is divifible by d. Call the quotient~; thenx = 2, and y = mn—13; whence y mn —1 I d 5 2 : — = ——=m——, or m——, which are the two firft terms x n n 2m * of INDETERMINATE PROBLEMS. 203 of the continued frattion denoting “(m*—d), or ya. Thus, if BY aed = y*3then¥12 =V(16—4) = 4—2 and 2 2 &e. i It is to be oan that, when d = 1, the values of x ad _ y may be difcovered from any given number of terms of the fr et fraction. | Taos, if 3x?++1 cad jy then 3 = V(4—1) = 2—2 —— ta 4 &c. $ whence x = 4, 15,56, 209 &c. and y = 7, 26, 97, 362 &c. Ir a = m*+d, then x = —a”, and y = —mn—1 ; but the - expreffion ax-+1 = y*, will not be altered by changing the figns ial of, x and y; > whente x = = 4%, and y = mn-+1; i confequently, iti denoting (+d). Thus, 20%7-+1 = y?3 4 Bi, n I ; me: a + &e. uy then 20 = ¥(16+4) = = 42 I and x = 2,and y= Rpiey es Bd 2+1 = 9; for 20. Jes = Sot == AOFe . WE may obferve, that if d= 1, the values of x and y, in the expreffion (m*+1)xi+1 = y*, may be found by taking "am even or odd number of terms, according as the fign + or is is to be adopted. moa.) Let a= o, then ax’--bx = y?; and, in this cafe, =: eer sy and y = ——. Thus, 7x*-+4x = y?3 if m = 3, © then # = = = 2, andy= a = | For 7.(2)*+4.2. = 6 = (6): C Onn : CASE 204 On the RESOLUTION of a Case Ill. When BB—4AC ts a /quare. Let x7-+ aan — = DXE;; then the divifors of ax*+-bx-+e will be — xD, and #XE. But it appears, from the dodtrine of equations, that the excefles of x above the roots of the — 2 b . . id 7 quadratic, x?-++ —-« + — = 0, are the divifors of the expreffion b+-/ (b*— 4ac) 2a xr sate, Wherefore, D = «+ , and) Bee Pel ems see 2) Hence, when Y (°—gac) is is a whole or fractional 24 number, the expreflion ax*+dx-+c admits of refolution, and 4 b b*—4ac b b?~-4ac ; a and n(x xb —— 4 ’). Ane when thefe are found, the folution will be seek from Prob. VI. Suppose 14x*+19x+6 = y*, then b°—4ac = -361—336 = 25, and D= “4 (xt 5), and E = n(e+ 54). Ifa = 2, the divifors are—(x-+ 6 ’ the divifors will be Ft 5) = 7x+6, and 2(x+ —) = 2x-+1 5 whence, from Prob. VI. » = 2, and y = Io. For if i! 14.4+19.2+6 = 100 = (I00)* a 4 CASE IV. When the general st es can be refolved into fabtors, if diminifbed by a given /quare. Let (ext+f)(gx+s) = y?—d*, then (ex+/) (gx+h) ail ' (y+d)(y—d); whence ex+f = aie and Seth it a at ei INDETERMINATE PROBLEMS. 205 ea ; and by reducing — , m*g—e yt+d—mbh my—md— +-d—mb e fecond, x = ne whence —— aS Sra and con- f tj ty 2 des pie my—md— ; Mephicntlys y= omtdrttietde meh pi YL mes here. ‘ Pi) alfo x = eam bee Bae - m* g—e } } _ Suppose 14x*+31x"-+24 = 9"; then, taking 9 = d? from both ; ides, 14x*+-31«-+15 = y*—d*; but /(b*—4ac) = /(g61—840) = 11; whence, if 2 = 2, the divifors, by Cafe III. will be 5 and 2x-+3; wherefore, making m= 2, x = 245 ; 7 29 = (23) = 5, andy = Se 23. For 14.254+31.5-+24 We. 8 LE My “VIIt é cz sige aah y?, and ac-+b = d?, fubtracting thefe equa- we fhall obtain ax*—ac* = y’—d*, and by refolution, ac)(x+c) = (y+d)(y—d); whence ax—ac = my—md, = = From the firft of thefe equations, x = —2m* p-p>—m*-F2p—1 4 or = Pp? m* —2mp?—p* +m? +, _y, &c. we obtain y = ; aw (p—1)?—2)-H p+ )—2 , | eae ecient ao PROBLEM. xi. ‘tp find three numbers, the product of any two of which, increafed by Pe, Jhall bea Square. “By i pile: xyHr = vy xe-+I = s, and y2+1 = wv’. Se NETO the brit equation, ae = v’—1, and re- 2am--y = me confequenty, @ v= sand align tah and a= - . > wel nd aiding xXx% = (s+1)(s—1) 3 whence, z = ps—p, and I = px; confequently, s = aan = px—t, and reducing, 2m--y th Z+2p pia . — —- Bux = —S; wherefore mz-+2m°p = ’ py, and y= mm 2+ 2m" p— 2mp* " p* , 3. Moreover, by the third equation, yz =) w*—15 whence, yXz = (w-+1)(w—1), and y = gw—g, and w+ es wherefore, w= a4 = gz—I, and y = q?%—29- Vou. II. dd But 210 On the” RESOLUTION of But WS mesa oa confequendy, py2z—2pq = mz+2mp—amp*, and % = apt geam'p—amp rae p a » Now, y = 7’%—29 3 whence by fubftitution, y = seats . And becaufe x = a, we have alfo x = Ser aaa = am 24 Cor, Let m= ss then the formulz will be more firnple 5 — 4 — 252 — ip an iape sr Mg 2 ait ya — ste i 1, and xe — 2 gt 2p— 2p” 5 P qs! TT) eee ? if : THERE isa el) ot a Aa in which the above formule do not directly apply, the numerators and denominators vanifhing at the fame time... It is when m= 1, p = 2,andg= 4. For, — re “ ‘ 2am hq* 2p? g*+2mg | i= 24+1 t2riq Py s f by art. 3: J — gene oS naan rare _ ae > where- ¥ fore the alue of y may be exprefled by any affumed number, ps F But,. by art. 1. « = amy = yt2; whence es eae Alto, 1 by art. 2. vente, rs cee dedfore ithe ant8, and ; %—= 4n+4. Thus, 2, 4, 12; for 2X4-+-l = 9, 2X12-+14 =) 065 and 4X12+1 = 49. PRO B:L-E.M . XI. y given number. - By hypothe, pie ay*, and S aheine: F< sae = axy i whence v = ma, and y*? = mx*; but «* = (ma)’, confequently : b i Vy INDETERMINATE PROBLEMS. 21 ye ma, and yXy = maXm’a; and by a fecond affumption, YY = pma, and m’a = py; but x = ma; whence y = px, and “ iE Ne = meets — = px, and c= as but y = px, whence y = = ap*. : ' Beceense a= 3, and p = 2, then x = 3X(2)* = 12, and = 3.(2)? = 24; .For (12)3;=.1728.= 3.(24) mance y = . wROB LEM. XIV. m ‘Ta ed two numbers, the Jum. of which fhall be a given fquare, - and the fum of their cubes a fquare. . rast Af ‘By hypothefis, ay = #, and basciedes = 2%. Dividing the cond equation by the firft, we obtain = ae = w—ay+y, or educing the firft of thefe expreffions, z = — ; and by 2 eeond; % = max—may—ay ; whence “77 ay—ay, and ~~ = ae . But from the firft equation, i Ao ob abicwly bith ad "x; wherefore, —— — = @—x, and therefore x = at ol m 4 © m*—tI eat ee 2m*--2am—t d dz. Alfo,. . Buty = =a—x, confequently, y = a*X 212 On th RESOLUTION, &c. Alfo, becaufe z = “*"" we have by fubftitution, z = m m?* +-m-+1 2m*+2m—1 ° a?xX Cor.1. Iza = 2m*+2m—1, two whole numbers may be always found, the fum of which, and that of their cubes, fhall be fquares. For in this cafe, x = = (2m*-+2m—1)(m*+2m), ¥ = (2m*-+-am—1)(m*—1), and z = (2m?+-2m—1)*(m*-+m-+1.) Tuus, if m = 2, we fhall find x = 88, y = 33, and z = 847. But 88+33 = 121 = (11), and (88)?+(33)? = 717409 = (847)*. . . . _ Cor. 2. Ir y be negative, we fhall obtain two numbers, the . difference of which, and that of their cubes, fhall be fquares. PrN ae Put m= £4, and fubftituting, « = xX >2— 4. , yee , q P P += Ge) de oe Pe Rl aS ots zi ; SS ae! q ai Cpa er eer , and z = 4°X>=——> , and by re +4 - optus gn. ah 8 oe 2 2p? f a pr-2pq = ax—t—? — , and zg = duction, x x “op? +2p9g—q" ? y ahaa age ? a?xX ear . If a = 2p+269—¢°, we fhall obtain — 2p*-+2p9—4 whole numbers; for « = (2f?+2f9—g9')(p+29), y = (2p"+-2p9—9°)(-—P*), and z = (2p°*+2p9—-7' (P4097) " Tues examples will probably be thought fufficient to ex- — plain the application of this method to the folution of indeter- minate problems in general, ‘and to fhew that it is not lefs ex- _ tenfive, and much more uniform, than thofe that are commonly ~ in ufe. tn XV. + xv. A DISSERTATION on the CLIMATE of RUSSIA. ia By MaTTHEW GUTHRIE, M.D. Phy/ician to the Impe- a rial Corps of Noble Cadets at St Peterfourg, F.R.SS. Lonp. and Epin.: With two Letters from his Excellency ae M. EpINuUs, Counf. of State, Kn‘ of the Order of St ANNE, &e. te. We. 1 e [Read by Mr Rozison, Nov. 2. 1789.) N a paper publithed in the fecond volume of the fecond de- cade of the Medical Commentaries of Edinburgh, I men- . tioned a defign of endeavouring to trace the influence of a cold climate on the human body and its difeafes, which fhould form if a contraft with the many accounts publifhed of late years rela- q tive to the effects of hot climates ; and I likewife mentioned my a having given a detached piece*, fome years ago, a8 a com- mencement of the fubject, in ae fixty-eighth volume of the | Ehilofophical Tranfactions of London, which contains matter Hi -neceflary to illuftrate fome parts of the following Differtation. ___ I was induced to this defign, by having met with nothing of ‘the kind in the courfe of my reading ; and by remarking that, In oe ie Tas title of the Differtation mentioned above, is, The Antifeptic Regimen of the _ Natives of Ruffia. 214 DISSERTATION on the In this point of view, the fubject feems to me to merit in- veftigation, fince the difcuflion of it is an obje€t to fcience in general, and to medicine in particular. The plan, then, that I have chalked out to myfelf, as likely to throw light on the fubjeét, is to give the Hiftory of the Northern Climate in one paper, and that of its Phyfical Influence in another, as it ap- pears in the new capital of Ruffia, St Peterfburg, where I have refided for many years. Thefe two Diflertations will contain a number of faéts and obfervations, from which Phyficians, in the double fenfe of the word, may draw conclufions ; for | pre- tend to nothing more than the honour of laying the foundation of an important work to be profecuted by others, and which will probably require many years to complete. As to the execution of my plan: F77/?, I have made ufe of the meteorological regifter, kept in the Imperial Academy of Sciences, as fuch regifter muft be more clofely attended to than that of any individual, whofe private bufinefs muft often call him abroad at the proper hours of obfervation. 2dly, | wave adopted the Academy’s divifion of the year in- to two feafons only, as in fact we have but two, properly fpeak- ing, viz. winter and fummer, the one feafon running into the other, without leaving well defined intermediate periods, to an- {wer to what are called fpring and autumn in the temperate climates. Nature appears to hurry in the north, by as quick a tranfition as poflible, from the long fevere winter into its fhort — but ardent fummer; fo that our thawing feafon occupies the period of your fpring: and the fame kind parent feems to pro- “_ long the feafon of vegetation, from a fimilar wife intention, as long as poflible, till furprifed in a manner at once by the re- turn of winter, without much of what may be called autumn weather. 3dly, | nave followed the plan of the academic regifter, in prefixing to each feafon an enumeration of the common pheno- mena which take place in it, fuch as the quantity and duration of CLIMATE of RUSSIA. a1 | of froft, fnow, rain, congelation, &%c. as will be feen in the pa- per, adding to the fhort note of the Academy on each article, __a few remarks of my own, which I have collected during a long ferince in the north. _ 4thly, My calculations are all taken from the mean of fifteen a as will be feen by the annexed regifter, an abridgment that kept by Profeffor Eunzr, perpetual Secretary to the Im- perial Academy of Sciences, with which he obligingly fur- nf I am happy to embrace this opportunity of acknowledging a ar number of fimilar-obligations for many years paft, from our e equally liberal and learned Profeflors of the Imperial Academy _ of Sciences. _ Lajily, Lave added to the og the sompgrative degrees on ufe i in Great Britain, and the fecond in Ruffia, as it cr to be (and I believe generally is) with the public every i re from its greater fimplicity. & The RUSSIAN WINTER, With the common Phenomena attending it. 1p ‘Tue Ruffian winter certainly muft take the lead, when treat- of the feafons, both from its duration and confequences in northern fituation. The duration of winter is generally m the end of September to the beginning of May, although fe certainly have occafionally very pleafant weather in April, pite of morning and evening froft, which the fun, in his er approach, diffipates inftantly on appearing above the izon; nay, the agreeable effect which a little of his "fenfible uence has, when contrafted with his little more than lunar on for fo long a period, leads us to give to April almoft the ank of a fammer month, although I doubt if, in a more fouthern 216 DISSERTATION on the fouthern country, it would merit that appellation under the fame circumftances. Duration of Froft and Snow. Tue duration of winter, if it is to be defined by the mean term of froft and fnow, according to the common method, muft be dated from the gth of October to the beginning of May, when its force is fo far fpent as to be perceptible only by a flight hoar-froft at an early morning hour ; and as the continu- ance of {now is generally much the fame as that of froft, we may reckon the mean period of both at about 230 days in the year. Term of the Rivers remaining Frozen. Burt the duration of what is called the real Ruffian winter, when our communication by water with the reft of the world is fhut up, and that element confounded in appearance, and almoft in folidity, with the land, is confiderably fhorter, and is to be reckoned from the 27th of November to the 19th of April, (its mean term for fifteen years paft), that is to fay, it comprehends about 160 days in the year; for in the feafon al- lotted to winter by the ordinary definition, as given above, there are about 70 days, when our froft, although equal to the congelation of water in its tranquil ftate, is incapable to arreft the rapid current of rivers. Nay, I am yet to learn what de- gree of it might be required for that purpofe; for in this country there are certain circumftances which ufually accelerate the congelation of rapid rivers, fuch as, their furface being covered with floating ice, formed in the lakes * above, which, at * As for example, the floating ice which covers the Neva, and fo much facilitates its congelation, is formed in the Ladoga lake, where an inferior degree of froft can aét upom the ftill water, to what is neceflary to congeal the river, and on the firft wind it is brake up and carried down by the current. ~ CLIMATE of RUSSIA. 419 at the firft obftacle it meets with in its courfe down the river, i (as at the bar a little below the city of Peterfburg) accumulates _ fo as to form one uniform fheet to appearance, for many miles _ above the obftacle, compofed of a number of large thick flakes, _ which the fevere froft that commonly prevails about that time, _almoft inftantly cements together, although the fame degree of 4 froft i is much inadequate to the power of congealing the naked a farface of the running river. By this ceconomy of nature, al- _ though the northern countries are much interfected by large { and rapid rivers, which, from the floating ice, do not admit of _ ftanding bridges, ftill the communication is feldom interrupted _ _ fortwenty-four hours, as they fhut up with a degree of thick- y nef fufficient to bear the weight of a man almoft immediately, aod heavy burdens in a few days. Lhicknefs and other Phenomena of the Ice. by Febriary, our ice has acquired the aftonifhing thicknefs f about three quarters of an Englifh yard, and, what is equally af onifhing, it has loft not above a third of it, when become fo S weak, at the breaking up of the rivers, as not to fupport the weight of a dog. At this period, I have paid particular atten- to its appearances, and found the mafs compofed of a mber of long folid cry({tals, refembling, in fome meafure, > pipes of an organ, about half a yard long, but almoft hout adhefion, fo that the mafs feems to have loft little but ementing principle, (if I may be allowed the expreffion) h bound thofe cryftals together ; inftead of its being re- d, according to the common opinion, to a pellicle, by the on of the fun and water on its upper and under furfaces, ich any one may convince himfelf is a vulgar prejudice, by e infpection of a piece of the floating ice on the breaking f the Neva, ‘aca although funk fo deep in the water as Pivot, Il. ee to 218 DISSERTATION on the to appear only like a pellicle above the furface, has the confider- able thicknefs that I have mentioned, concealed below the water. I may here fubjoin fome obfervations on the conducting power of ice with refpeét to found. This is affirmed to be very great, by the ingenious Profeffor of Natural Philofophy in your Univerfity *. Iam difpofed to accede to his opinion, from know- ing, that even the unbroken and uncultivated ground of our {tepps or defarts conducts found fo well, that the Coffacks hear the tread of a horfe at a great diftance, by laying their ear to the ground. Experiments might be tried in this country ona very great fcale. But as I have not had an opportunity of this kind fince the thought ftruck me, I fhall content myfelf with giving the following extract of a letter from a friend: “ Ha- “ ying walked out on the ice to a great diftance from our fort “ the other day, when its cannon were difcharged for the taking “ of Oxakow, the firft intimation I received of this event was, by a difagreeable ringing found from the ice,-and, after fome feconds, the ufual report through the air, but not fo “ violent as the firft.” Regifter of the Weather for the fix Winter Months. THERMO ME TER. Our greateft cold exceeds in general 196° of De L1sxx’s, equal to 24° below o of Faur. or 24°2 of Reaum. below o, and commonly obtains in January. Our mean cold for the fix winter months is, in the after- noon, 154°, equal to 27° of Faur. above 0, or equal to 2° of Reaum. below 0; Night, 162°, equal to 23° of Faur. above 0, or to 7° of Reaum., below o. Ir muft always be remembered, that they are the mean de-, grees of cold and heat during a period of fifteen, years, which are * Joun Ropison, M.A. Profeflor of Natural Philofophy in the Univerfity of Edinburgh. a a “CLIMATE of RUSSIA. 219 f are fet down in this regifter ; for we have often, for example, a _ more confiderable degree of cold than what is indicated above, 4s our greateft during the feafon ; 27° of REAuM. or 62° of _ Faur. below 0, are often felt here, and fometimes as far as 30° * nay,a cold of 32° below the freezing point of REAuM. is upon _ tecord, which is the freezing point of the pureft mercury, ac- cording to my experiments, publifhed here in 1785. Ir mutt be alfo remarked, that the thermometer fometimes basa furprifing range during winter, fo as to produce a change _ of temperature from 10° to 25° of Reaum. (or from 23° to 57° of Faur.) in 24 hours; a trying circumftance for delicate nN conftitutions, and which the moft robuft feel after the prime of ft life. The preffure of the air on the body is alfo equally vari- able in 24 hours, as indicated by the barometer on thefe occa- a ions. ae: BAROMETER. Et ir ? - Placed 20 feet above the mean level of the Neva, and at 6000 B from its opening into the gulph of Finland. By. Higheft, © 28.87 — ofteneft in January. Lowett, 26.99 ofteneft in November. Difference, 1.88 _ Mean height, 28.02 Paris inches. Winds. a Tue prevailing wind during winter is the weft, and its pro- "portion tothe eaftis, Me if ~ Weft, 113 days in the fix winter months. --——s Faft, ~—-« 68: days in the fame period. ON. B. Tue fouth wind, and all to the weft of the meridian, is reckoned weft ; the north wind, and all to the eaft of the eridian, is reckoned eaft. ee 2 THis 220 DISSERTATION on the Tuis circumftance of the weft and foutherly winds prevail- ing during the fevere northern winter, muft appear rather fin- gular to moft people, efpecially in Great Britain, where the very: name of N. and N.E. winds conveys the idea of cold. But this phenomenon may eafily be explained on the principles ad- vanced by Profeffor Rogison, in the Notes to Dr ROBERTSON’S Hittory of America. Vide Note 4. B. IV. Mean Quantity of melted Snow and Rain. THeEseE together do not amount, in the fix winter months, to more than about five Paris inches, although the whole furface of the northern countries is covered with fnow to a confiderable depth, over which we drive in fledges, without diftinguifhing between land and water; whilft, during fummer, a period apparently fair in comparifon, there falls more than double the quantity of rain ; but indeed, as it pours in torrents, when it. does rain, like thunder-fhowers in hot feafons, there mutt fall more than the apparent drynefs of the feafon would lead one to fuppofe at firft fight, efpecially when the large portion fur- nifhed by the heavy night-dews, is added to the quantity. I must here obferve, that water feems to- acquire fome new properties, from being converted into fnow, froft, in- cruftations, and even common river ice, if we are to judge from the following facts: Fir/t, I have fhewn, in a paper pu- blifhed in the Philofophical TranfaGtions of London, that the frozen incruftation, which is formed on the infide of the win- dows, in the habitations of the lower clafs of people in this country, during the fevere part of wimter, (an inconvenience avoided in the better fort of houfes by double windows), fets loofe, on thawing, a fpecies of mephitic air, producing all the dangerous effeéts of the fumes of charcoal on people expofed to, its action, : adly, CLIMATE of RUSSIA. 221 i 2dly, A Mr Scuroeter of this city has found the water of efe incruftations to be of a very volatile nature; and indeed t the folutions of all the frigorific productions mentioned above, - poflefs a fuperior difpofition to evaporate to river water in its natural ftate, as is fhown by the following experiment : F i HE poured into five tea-cups, ftanding in the window of his a room, a tea-fpoonful of each of the five different fluids men- tioned below, when, at the expiration of 24 hours, their com- _ parative degrees of evaporation were as follow : _ No. 1. A tea-fpoonful of window cruft water was ‘iat all evaporated. hoar froft water had loft about the half. 3. ——— ——————._ fnow water had loft about a third. 4, ———_————— Neva ice water had loft rather lefs ae an than a third. 5. ——————_ River Neva water had loft nothing ¢ to appearance. Hail. pit?) 5 . __ Irs appearance is a rare phenomenon in this feafon: But I _ fhall leave to the ingenious author of the Theory of Rain *, (in _ the firft volume of the Tranfactions of the Royal Society of dinburgh) to give a reafon why water fhould conftantly take form of fnow during the fevere weather of the north, and feldom that of hail. Can it be that the fun has not fufficient uence, at this period of the year, to raife it to the higher zion, where the form of hail is fuppofed to be given? errtyf giftile fj ‘Tempefts | Ane equally uncommon with hail in the feafon treated of. ibution of her SRS: as it is only the parts of the earth which 222 DISSERTATION on the A, which moft enjoy the kindly influence of the fun, that fuffer by the effects of its fuperior heat ; fo that if the atmofphere of the north is not fo genial as that of the fouth, at leaft it re- _ mains perfectly quiet and ferene, without threatening deftruc- tion to man and the produét of his induftry, as in what are commonly called happier climates. © Aurora Borealis. As to the Aurora Borealis, it often illuminates our hemi- fphere, more particularly in winter, when it appears from fix- teen to feventeen times in the fix months, although we, by no means, enjoy fo much of its light as our more northern neigh- bours, who have certainly a better title to its fervices, from the beautiful plan of equality mentioned above. Some remarks which I fhall make in the next article but one, may probably ftrengthen the opinion of its being an electric phenomenon, that is to fay, if proving the atmofphere in general to be un- commonly electric, at the time of its greateft prevalency, can lead to a prefumption pf its connection with that fluid. Parheliums and Mock Moons Are feen pretty frequently in the north. Probably our frozen mifts and vapours make thefe phenomena more frequent here than in the temperate climates. General Obfervations on the Winter Atmofphere. Tue air, though cold, is remarkably pure and elaftic during our fevere froft, fo as to give a moft furprifing degree of {pring and tone to the human frame. At this time the atmofphere is moft aftonifhingly electric, even more fo than during our vio- lent thunder-{torms in fummer, if we are to judge from the great ae CLIMATE of RUSSIA. 223 great power of our electrical machines, and from feveral other Emenee curious to be pafled over in filence. _ Tue moft ftriking of thefe is the appearance of a flame, on Satin a flannel cover off a filk chair, or on rubbing with a _ woolen cloth the filk hangings of an apartment. On this laft \ ~ operation, a flame was feen running along the gold-laced bor- . der, to the great amazement of the Imperial fervants, to whom - thefe alarming meteors appeared, on dufting the apartments of the palace i in a dark winter morning, as I remember to have heard at the time, though many years ago. But the faéts of this _ mature, which | got from our ingenidus and learned electrician _M. #prnus*, whilft Preceptor to his Imperial Highnefs the _ Great Duke, are much more circumftantial and interefting. _ See his letter at the end. ‘However, I do not mean to affert, that the rotal of the electric which are fometimes of a very alarming and dangerous nature. . Tonly fay, that it appears to be more equally diffufed through the whole volume of the atmofphere, from not being collected into clouds, as in fummer, and that the air is in a ftate more difpofed to part with it. In faé, no clouds are to be feen du- fevere froft, nor indeed can water exift in that form, but. divided into infinitely fmall particles, frozen into fhining cula, which play and fparkle in the beams of our bright yugh feeble fun, in a very beautiful manner. This appear- panne ae fomething like brilliant points floating in our atmo- ? fphere, * As it may operate to the encouragement of Science, permit me to inform the So- ty, that when this refpeétable Philofopher (fo well known in Europe by his profound \d ingenious writings on Eleétricity and Magnetifm) had finifhed the education of his ‘ial Highnefs the Grand Duke of Ruffia, he was advanced to the rank of aGual oun ellor of State, with a penfien to fupport his new dignity, and was decorated with ted ribbon of St Annz, an order only beftowed on men of high military or civil ‘rank, This anecdote thows how well the prefent’ Sovereign underftands rewarding me~ rit; when it falls, under her immediate cognifance. 224 DISSERTATION on ‘the {phere, is not conftant, but I think follows a fort of cloudinefs, which occafionally takes place on a change of temperature, as if it was going to fnow; but on the cold increafing a few de- grees, which it does often very fuddenly, the fky becomes in- {tantly clear again, and feems to have acquired the little parti- cles in queftion, which I have often thought I felt acting againft my face, while driving with great velocity in a fledge. TuatT I may feparate as much as poflible theory from facts, I referve to this place fome explanation of what I have faid above, and beg leave to hazard a conjecture, in form of a query, for thofe who have more leifure and genius than myfelf. It would indeed be difficult to reconcile the idea of our atmo- {phere poffefling a greater quantity of eleétric fluid in winter ~ than fummer, with the difcoveries of Meflrs p—E VoLtTa and Saussure, who have found the electricity of the air in dry weather to be conftantly pofitive. The laft mentioned gentle- man fuppofes its pofitive ftate to be maintained by a regular fupply of vapours from the earth, (which are difcovered to abound with that fluid) carrying up a portion of the electricity that belongs to the globe. Now, as in the north the earth is hard frozen during winter, one fhould think the fupply by eva- poration cannot be fo great in this feafon as in fummer, and of courfe its pofitive ftate with difficulty kept up from this fource, according to Dr FRAN«KLIN’s Theory of Plus and Mi- nus. Will that of two diftin fluids (to which Mr Saussure feems to lean in fome part of his works) account for it better? There is a theory very prevalent in Germany and Sweden ; nay, we even find the refpeétable names of BERGMAN, SCHEELE, Witke, tc. amongft its advocates. This is a fufficient reafon for my giving it a place in this paper, left it fhould not be ge- nerally known in Britain. PosiTIvE electricity is fuppofed to be common air faturated with heat or fire, as they term it; negative electricity is fup- pofed to be phlogifton, combined with an acid. As to the commotion, CLIMATE of RUSSIA. 225 commotion, they account for it, by fuppofing that it is owing to the air and phlogifton rufhing with violence together, (from if great affinity) and fuddenly fetting loofe the heat contained in _ the air, according to CRawrorp’s theory, which then becomes ele. and in fome cafes vifible. I muft take the liberty of fuggefting a doubt if this new theory will account for fo many _ phenomena in ele@tricity, as the beautiful and fimple one of _ FRANKLIN and Apinus, particularly for Earl Sranuope’s re- q turning ftroke, which his Lordfhip proves to have been the death of Mr Brypen’s carter and horfes, in fo fatisfactory a q manner, that no man in future will think himfelf fafe in a % ‘thunder-ftorm, however diftant from the explofions. _ It might be fuppofed, from the feverity of the froft men- % Mined above, that we fuffer much cold during this period; but _ the fat is juft the reverfe: for people in eafy circumftances, _ who are not obliged to remain much out of doors, but drive, or even walk from one houfe to another, fuffer lefs than in ~ moft countries, as there reigns conftantly a fummer heat from 14° to 16° of REAUMUR in our apartments, where flowers - blow all the winter; and when out of doors, the warm fur _dtefs, with the fkin furniture of the fledges, (a coach requires 2) keep the body fo comfortable, that 1am ¢onvinced lefs Lis felt (difference of drefs confidered) in driving through the ftreets of Peterfburg in our cold dry air, than through thofe of London or Edinburgh, during the cold moift weather that ins there during a great part of the winter; efpecially as ftate of the atmofphere in Britain is often accompanied by ik winds, whilft the air in Ruffia, during our greateft cold, generally ferene and calm. In fact, we have only the face to yard again{t the froft when out of doors, by occafionally ng the cape of our fur garb, as all the reft is fecured againft attack by the well contrived drefs of the north; and at e, if the door is only kept fhut, the cold can enter from ho other quarter, (the windows being double, well caulked and - Vou. II. FAG papered 226 DISSERTATION on the papered in the feams) to countera& the equally diffufed heat produced by well contrived ftoves, which are built generally of white tiles, and admit of much latitude of elegant form. Tue above defcription of our mode of living in winter, ac- counts for-a circumftance that has been regarded as affectation, both in the natives of Ruffia, and in foreigners who have re- fided long here, viz. their complaining of cold during winter in the temperate climates; for, on taking into confideration their mode of living at home, there js nothing more natural than their fuffering cold in countries where neither the houfes nor drefs are calculated to keep it from conftantly aéting on the body, during a certain period of the year. This is a fituation quite new to a Ruffian, and which produces fenfations more difagreeable than can eafily be imagined, till cuftom makes it familiar, and that they have learned to feek heat in exercife, inftead of ovens and furs ; a leffon by no means unprofitable to people of fafhion from the northern countries of Europe. SPRING. As to fpring, I muft again repeat my remark in the intro- duétion, that we can hardly fay that it exifts here; the feafons of winter and fummer running into one another, almoft without any fenfible intermediate one: For by the time that the immenfe mafs of {now and ice, which covered the face of land and water, is melted, the fun has acquired fo much influence, as to dart on ts at once a fummer heat. It is probable that the quantity of water produced by this operation, when joined to the effeG& of our heavy night-dews in the hot weather, may render a wet intermediate feafon unneceffary, whilft the fhort period allowed to hurry vegetation through all its ftages, will fearcely admit of it. Is it not poflible, likewife, that the fud- den commencement of fummer on the finifhing of the thawing procefs, may be accounted for, in fome meafure, by Dr Brack’s Theory — CLIMATE of RUSSIA. 227 _ Theory of Latent Heat? For as water requires a great portion _ of fenfible heat to refume its fluid form, of courfe, a large : _ proportion of that furnifhed by. the fun will be abforbed, un- til the whole is diffolved, when we at once receive all his influ- ence, without any part of it being abforbed by our winter co- _ vering. When this caufe is joined to the cold produced by the evaporation going on during the thawing period, it is eafy to _ conceive how different our feelings muft be at the time when 7 they are both removed, and the earth is beginning to ac- ¢ quire and give out warmth; which very quickly takes place in this light fandy foil, that lets the water readily filter through it, a _ and almoft immediately begins to heat. “RUSSIAN SUMMER, With the common Phenomena attending it. Our Ruffian fummer, during a good feafon, prefents exaétly he oppofite extreme to winter, the former being nearly as hot s the latter is cold; an admirable arrangement of nature, if confider the tafk the fun has to perform, with regard to ve- tation, during that fhort fpace of time. The influence of fun during the period of a Ruffian fummer, is no doubt ed by that equally wife ceconomy relative to the habits of the fhort fpace of time allotted to them, (even in Iceland, ere, from its infular fituation, the heat cannot, be fo confi- ble as with us), thofe imported from the fouth can, by no ans, effect all their ftages of vegetation, within the bounds. a Ruffian fummer, until they have pafled a few feafons in this climate, and thus acquired the habits of the indigenous plants of the country. Tri is remarkable, that the thermometer falls exactly to 24°+ of Reaumur below the freezing point, during our greateft if fi2 cold 228 DISSERTATION on the cold in winter, and rifes to the fame number of degrees above it, during our greateft heat of fummer, taking the mean of © fifteen years. The fun’s remaiming fo many hours above the horizon, or rather fcarcely leaving it at all during a certain pe- riod of our fummer, affords one reafon for the violent heat which a traveller meets with, to his no fmall aftonifhment, in the latitude of 60, as the air and earth have not time to cool in the fhort interval between his fetting and rifing again. Two Britifh travellers from Bengal, (where they are certainly ac- cuftomed to great heat) complain much of that of the prefent fummer in St Peterfburg. I TAKE this opportunity of mentioning a curious fact con- neéted with northern vegetation. There is a difh to be found at the tables of Mofcow during winter, which will fcarcely be credited by the reft of Europe, when it is remembered that the climate is nearly as fevere as at Peterfburg, viz. afparagus, reared in the open air, the production of a fpecies of Ruffian gardening, which merits being known. In autumn, the afparagus beds are covered with mats, and buried by the falling fnow, which is moft abundant in this climate, fo as to preferve the plants from being frozen, until they are wanted. When a bed of them is to be thrown into. vegetation during winter, it is done by cutting a deep and broad trench all around it, down to the unfrozen earth, which is filled with fmoking dung, taken out of the middle of a large dunghill; the old mats, covered with fnow, are then re- moved, and dry ones put in their place, and upon them a thick layer of warm dung, leaving only fmall apertures for the plants to pufh through. Regifler CLIMATE of RUSSIA. 229 Regi, seis rhe Weather for the fix Summer Months. THERMOMETER. i were! ~ Greateft heat, 106° commonly in July or Auguft, equal to ake 85° of Faur. above o, or to 24°4 of REAUM. above o. in May or O@ober, equal to 41° of Faur. above 0, or to 3° of Rzaum. above o. ° 144 38° equal to 46°4 of Faur. or equal to 20°4 of REAUM. ean heat of the aftern. 127° equal to 59° of Far. above 0, or r equal 12° of Reaum. above o. rd en of the night, 136° equal to 49° of Faur. above o, GES or to Bae of REAuM. above o. Mean heat of the climate at aici 2°J5. ~ BAROMETER. , 28.42 ofbencG: in May. 27.50 ofteneft in September. pee} The middle between thefe extremes i8 27. .96. Weft wind, IIo days. Eaft wind, 84. days. Rain, 230 DISSERTATION on the Rain. THE quantity of rain that falls in the fix months, is 10%, or about 11 Paris inches. Rainy days, . - - 80. Tempeft during this feafon, from II to 12. Showers of hail, =! fiona. 2 tala ae Aurora Borealis, from 8to 9. Fog, - - 17 days. I sHoULD be happy in being able to give the heat of deep wells and fprings in this province, to compare with the mean heat of our climate, which, according to a curious modern difcovery, ought to be pretty nearly the fame; but as our wa- ter lies within about four yards of the furface, at leaft in the diftri@ I inhabit, it may be fuppofed to be affeéted by the in- fluence of the fun during fummer, and the fevere froft in winter. To avoid, then, as much as poflible, both thefe caufes of error, I have chofen for the time of my experiment, what, in my opinion, is the moft favourable of the whole year, viz. the fhort interval which takes place between the rigorous feafon of winter and the heat of fummer, when the water is moft ex- empt from either influence. The epoch fixed upon then for my experiment was the 9th of May, whilft we had ftill a little floating ice in our river, the laft of that which*comes down from the lake Ladoga every {pring on its breaking up. At this time, the trees were {till without a leaf, except the birch, which was juft budding ; and RrAumurR’s thermometer ftood at 10°4 above the freezing point, fome degrees higher than ithad yet done; fo that I think, from the {mall effet the fun had yet produced on vegetation, tc. we cannot well fuppofe, that the temperature of a thick covered well in my garden, excluded as much as pof- _ fible from communication with the open air, by every precau- tion I could invent, could be fo much affected by it, as to pro- duce an error on the fide of heat. ‘wee \ ee ae DE De wi ghntny ae CLIMATE of RUSSIA. 231 a Bey 9g. Heat of. the : air, + “10°! above o. Heat of the well in my garden, Imp. Cadet fore , 2°23 above o. as the mean heat of our climate is 2°~7., there is a very remarkable coincidence between it and the heat of the water, even taken under all the difadvantages mentioned above. How- _ ever, I by no means offer this as the abfolute and exa@ tempe- _rature of deep wells and fprings in this province, which may ae be confiderably different. curious fcale, as they are of temperate, torrid, and frigid imates. As for example: ni Mean heat of | Heat of wells the climates. | and fprings. tac N. ide, 59° 26/ Dee Long. 30° 25/ E. from the 2°s5 2°s firft merid. of Greenw. N. Lat. ce 31 Long. 0 Vie wie N. Lat. 48°. 50’ Long. 2° 25’ E. 102 10°F in the rik shia cave under the gn Tel A obfervatory. Jam. N. Lat. 18° 15’) Long. 56° 38’ W. 21°F 21°F Tue difference of temperature between London and Paris ich was my reafon for fetting down two places Ha: near to another. Accident fometimes prefents us with one inter- ting fact when in fearch.of another. This was my cafe, in ng the heat of the earth in my garden, to contraft with that > my well, for a particular purpofe. On April 19. 1789, AUMUR’s thermometer at 7° above 0, I found the heat of earth, in a foft bed one foot from the furface, only half a gree above the freezing Bont and on the next day was afto- nifhed 232 DISSERTATION cen the nifhed to find it at 5° above it, although the thermometer in _air had not altered its pofition, but was ftill at 7°, nor had the fun fhone out in the interval, fo that this furprifing change of heat in the earth feems to have been effected by a fhower of rain that fell between the two obfervations ; a {trong confirma- tion of the hypothefis that rain water contains a large portion of latent heat, and probably of eletric matter; fo that it is not furprifing, if plants fhould, under certain circumftances, ftart, as it were, fuddenly out of the earth after a fhower of rain, as they receive fo large a fupply, not only of moifture, but likewife of heat, amd poflibly a vivifying principle from the ftimulus of the eleétric fluid carried down by the rain. General Obfervations on the Summer Atmofphere. Tue ftate of the atmofphere during the fummer, is in gene- ral pretty fixed, and the air very ferene and clear, both during the day and night, in fpite of the heavy dew that falls from the fetting to the rifing of the fun, which feems to ferve, as before obferved, for watering the plants during this hot dry feafon. I have been much ftruck with obferving, that an ex- cellent hygrometer, fent me by the learned Profeffor Proret of Geneva, (hung within doors with the windows open) indicated a greater degree of humidity, on a fine’ fummer evening, than during the moft continued rainy weather ; fo much higher is — the faturation of the air with water, and fo much greater is its diffufion through it, than when it falls in the form of rain. This obfervation favours the modern hypothefis of the —s . folution of water in air. I ruinx alfo worthy of remark, the much greater effect this fultry debilitating period has upon foreigners, (from even warm countries) than on the natives of the north, as one fhould naturally think the former would fupport it better, than a people unaccuftomed, for fo long a period of the year, to ex- ceflive CLIMATE of RUSSTA. err ceflive cold. This, however, is by no means the cafe; for “s whilft foreigners can {carcely take any exercife out of doors, with e b. the fun high above the horizon, without feeling a’ {pecies of ~ faintith debility, the natives even carry 6n the hardeft labour without much apparent fatigue.’ This may probably be. ac- a _ counted for by their conftant ufe of the vapour bath, heated to as ee degree unfupportable for many minutes to a foreigner, whilft _ they feel themfelves perfectly at their eafe in it, from habit, and are as fond of it as the Greeks and Romans were of the tepid water bath. ~ ; Anoruer circumftance in the mode of life of this doréhera people, which may alfo contribute greatly to their fupporting _ fo well confiderable degrees of heat, is their living at home, F for eight months of the year, in a conftant heat of from 16° to 20° of Rreaum. or from 68° to about 77° of Fanr. ; hay, even during the fummer, the ovens of their cottages are By _ obliged to be pretty conftantly heated, each peafant baking his bre ead at home, and drefling his viCtuals in them. AUTUMN. rm’s fake. I have annexed the abridged regifter of fifteen iy urs, made ufe of in this paper, as there may be fome who me puld mah to fee it. fevor. W *- ee . Ee 234 DISSERTATION on the a ee Two LetTrers id ELECTRICAL and other PHENOMENA $ addrefed to Dr MaT.THEW GUTHRIE, Conf. Aul. F.R. SS. *Lonp. and Epin. Phy/fician to the Imperial Corps of Noble Cadets, and to that of the Artillery and Engineers in St Peterfourg,, ” by his Excellency M. EPINUS. [Lranflation from the French.] DEAR SiR, I ACKNOWLEDGE the pleafure I have received in perufing your paper on the Northern Climate ; and certainly it would be difficult to give, with more method and intelligence, a clear and diftinét idea of the peculiarities of our climate, quod malus Fupiter urget, and which diftinguifh it from the other countries of Europe, placed under a more mild and temperate fky. I sHALL therefore comply with pleafure, in giving a circum- ftantial account of the curious faéts mentioned in your Difler- tation, as feen and authenticated by me; and fhall, at the fame time, avail myfelf of your permiffion to communicate the remarks and reflections I have made on reading your inter- efting Differtation *. THE uncommon phenomena alluded to in your paper, were as follow: During the laft weeks of the year 1766 and the firft of 1767, we had conftantly very ftrong froft, with the calm, .* Dr Gurtuaiz folicited the learned gentleman’s remarks and opinion on his paper. M. /Errnvs is the oldeft Profeflor of the Imperial Academy now alive, having {pent upwards of thirty years in this country ; and as Natural Philofophy was his profeflional) line before called to Court, and his amufement fince, his Excellency is of all others moft able to judge of the peculiarities of our climate, and the fitteft to put the {lamp of veracity on this Differtation, its principal merit. CLIMATE of RUSSIA. 235 calm, clear and ferene {ky which generally accompanies it in _ this climate; and during its prevalence, her Imperial Majefty _ having fent for me one morning, ordered me to go to the _ apartments of Prince Orxorr, in another part of the palace, who, fhe faid, had, for fome days paft, become uncommonly eleétric every time his hair was combed. + I rounp the Prince at his toilet, and Sori in fact, a through his hair, a pretty {trong crackling noife was heard; i) and on darkening the room, by drawing the curtains, the a {parks were feen following the direction of the comb in great _ abundance, whilft the Prince, by this operation, was become fo completely electric, that ftrong {parks could be drawn from his hands and face; nay, he was even eleétrified when .he was only powdered with a puff, the friction of the air againft his hair being able to produce a confiderable degree of electricity ; a curious experiment, which however but feldom fucceeded af- terwards, when I was defirous of repeating it. . ee A Frew days after this fcene with the Prince, I was witnefs toa ftill more ftriking effect of the electric ftate of our atmo- fphere at this period. His Imperial Highnefs the Grand Duke 3 fent for me one evening in the twilight, and told me, that, having brifkly drawn a flannel cover off a green damafk chair in his _bed-chamber, which had been put on it by accident, he was __aftonifhed at the appearance of a ftrong bright flame that fol- } lowed i it; but having immediately comprehended that it muft ve been an eleétric phenomenon, his Highnefs had been ng to produce a fimilar illumination on different pieces of niture, and could now fhow me a beautiful and furprifing eriment, that he had juft difcovered.—His Highnefs then threw himfelf on his bed, which was covered with a damafk It laced with gold, and rubbing it with his hands in all di- ‘ions, the young Prince, who had then reached his twelfth bia , appeared to be fwimming in fire, as, at every ftroke, EE 2 flames 236 DISSERTATION on the flames arofe all around him, which, darting to the gold lace border, run along it, and up that of the bed, to the very top. Wuitst his Highnefs was fhowing me his experiment, Prince Ortorr, who had been making many different trials of his perfonal eleftricity, fince the day I faw him at his toilet, came into the room with a fable muff in his hand, and fhowed us, that, by only whirling it five or fix times round his headin * the air, he could eleCtrify himfelf fo ftrongly, as to fend out {parks from all the uncovered parts of his body; another proof that the imple friGtion of air againft hair could produce elec- tricity. Similar experiments were repeated in many houfes of the city, whilft the ftrong froft prevailed; which fhows, that the uncommon difpofition of bodies to electricity, during the period treated of, was general. THESE curious phenomena have appeared igh time to time fince that epoch, particularly during the fevere cold which has prevailed for thefe four weeks paft. A few days ago, a lady of my acquaintance informed me, that, on having her head © combed, not only her hair fhowed the ordinary figns of elec- tricity, but that, after the comb had been drawn through, it bufhed out in a moft furprifing manner, by the mutual repul- fion of the hairs,-and occafioned, on rifing upon her head, a moft fingular and difagreeable fenfation, which would cer- tainly have frightened her terribly, if fhe had not inftantly | guefled the caufe. . Ir muft not, however, be taken for granted, that thefe ap- pearances are quite common here, or that hey appear every winter, although we never fail to have 24° and upwards of cold, by ReEAuMuR’s fcale. No; to render thefe effects very ‘ . remarkable, a great cold muft have continued feveral weeks. without abating, as I fhall explain in the fequel. I suaut here likewife account for a curious fact mentioned above, which muft have drawn the attention of the reader, viz. that Prince Ortorr became electrified whilft fitting at his — toilet, CLIMATE of RUSSIA. 237 toilet, on a chair placed on the bare floor, or on walking ist the Great Duke’s apartment, without any fpecies of apparatus to cut off his communication with the naked boards; but he was " in faa infulated, in both fituations, as the inlaid floors were become as completely ideo-electric as glafs or rofin, from the _ high dried ftate to which they were reduced by an exficcating quality of the atmofphere, (to be explained in the fequel) and _conftant waxing. -Now, as I obferve, Sir, that in your paper . on our climate, you enter into fome reafoning on thefe pheno- : mena, I pref{ume my opinion on them will not be pasenceable 5 to Caley ws of ‘deétric force, and. as fuch, that it did not require to be deduced from it in a formal manner. However, that you may know on what I.founded that fuppofition, I {hall ob- e, That, f7/?, nothing indicates air, and other bodies, to. tain, during fevere froft,.an atom of more .electric matter their natural, quantity; and they are certainly not in a te of {pontaneous electricity, becaufe, to render them. elec- c, friGion muft be employed, as at all other times; fo that the uncommon appearances above mentioned are reduced to , That, by means of friction, bodies, in the above ftate of e. atmofphere, become more eafily, and more ftrongly, electric, -atyany other time, which does. not indicate a larger tity of diane. matter, but a greater difpofition to re- e it. dly, THERE is no ona dootbieys then, to enquire, why air, filk, 1, hair, wood, tc. contain a greater quantity of electric er in this than in another feafon, fince the fact does not in ; fo that the queftion Jeft for inveftigation is only, Why poffefs, during fevere cold, a greater aptitude or difpofition ‘ to 238 DISSERTATION on the to become electric, than in any other ftate of the atmofphere ? or, in other words, Why they become, in a more eminent de- gree, ideo-electric? 3dly, Ar poffeffes, like the other fluids we call menfrua, the power of diffolving different bodies, efpecially water, which laft procefs we term evaporation ; and, like the other menftrua, this power is modified by the degree of heat it poffefles, fo that, ceteris paribus, warm air can diffolve, and hold in folu- tion, a much greater quantity of water than cold air. 4thly, Suppose that air, heated to a given degree, holds in folution as much water as it is able to diffolve, that is to fay, that it is faturated with it, and it then cools down fo confi- derably, that it cannot hold in folution the fame quantity it did at firft; there fhould, in that cafe, take place a large pre- cipitation, or a large portion of the diffolved water fhould fe- parate itfelf from the cooled air; fo that it muft remain charged with a much fmaller quantity than before it loft its heat. 5thly, Ir follows, then, that the atmofphere is never drier than during great froft, and never more humid than during great heat; and this affertion will appear a paradox only to thofe who confound a dry with a drying air, and a wet with a wet- ting air; or who do not refle&t that a dry air may not be of a drying nature, and that a humid atmofphere may not be of a wetting quality. I hope, likewife, nobody will maintain, that the apparent purity, and perfect tranfparency of the air, in a fine fummer day, is a proof of its not being charged with he- terogeneous matter, as that tranfparency is only the effect of a perfect folution of the water it contains.—It is evident, by the common chemical operations, performed every day, that every perfect folution is clear and tranfparent, and that when it be- comes turbid, a precipitation is at hand. Let us confirm this fact, Sir, by a phenomenon we have an opportunity of feeing very often in fummer, viz. that we fhall find the air full of broken CLIMATE of RUSSIA. 230 _ broken clouds in the morning, which vanifh under our eye _whilft looking at them, as the fun rifes higher above the hori- _ zon, in the fame manner as chemical folutions become turbid ; on cooling, and clear again on heating. _ 6thly, THis extraordinary dry air penetrates into our apart- : ments, either gently and infenfibly through chinks, or deyid! _ and perceptibly when our ftoves are lighted each morning ; Bre means of ert! the air of our apartments once in tas 4c: acquires the remperature of the chamber, which is com- i ihonly from 12° to 15° or more of REAuMuR, (in the better fort of houfes, for thofe of the common people are warmer) and then recovers its diffolving power, which the feverity of - the cold had confiderably diminifhed, nay almoft entirely over- come ; but as it now contains little or-no humidity, it mutt, like other menfirua, attack the humidity that it finds in the _ ehamber, with a much greater rapidity than it could have done with the fame degree of heat, had it not been thus puri- + fied ( (or dephlegmated, in the language of chemiftry) by the . cold. All the bodies, then, which happen to be in the room, auf lofe of their humidity, or be dried much quicker than in - other feafon ; and, in fact, there is no houfekeeper in Pe- fburg who lees not perceive to his coft this extraordinary ying procefs, as our furniture warps, cracks or fplits much re during the rigour of winter, than in the hotteft period of mer, nay probably more than in any other country between and the equator. tly, A NATURAL refult of all this, is, that, after our great d has continued.a certain time, the bodies mentioned above, . air, filk, wool, hair, wood, €c. are in faét, without affift- ce from us, drier than during the reft of the year, and pro- bly more fo than in any other part of Europe, except they dried exprefsly by fome artificial means. Stbly, 246 DISSERTATION on the 8rbly, Now, the bodies I have enumerated, are all in the clafs of imperfect ideo-eleétrics, and have likewife the common property of attraéting moifture, fo that they can never be pet- fe@ly dry; but water is, after the metals, the moft perfect condudtor of the electric fluid, or the leaft of an ideo-electric, I fay, after the metals ; for [think | have obferved, and pro- bably others have done the fame, that water does not conduct quite fo well as they do. But let that be as it may, thefe bo- dies cannot certainly imbibe water without becoming lefs of an ideo-eleCtric, in proportion as they do fo, and, of courfe, the more they dry again, the more they recover their natural quality. Tue refult upon the whole then muft be, That during our fevere cold, the bodies of which I {peak become fpontaneoutly much better ideo-electrics here, than they ever are in any other feafon or climate; therefore thefe bodies have an extraordinary difpofition to become eafily and ftrongly electric. Ir cannot have efcaped your penetration, Sir, that in all I have faid, I have advanced only known and: generally received facts, without admixture of hypothefes or conje@ure of my own; fo that the explanation I have given of the phenomena, (alluded to in your paper, and which I was called upon to illuftrate) arifes naturally and neceffarily from thofe faéts, in fuch a man- ner, that it may pafs, in my opinion, for a demonftration, fuch as is to be given in Natural Philofophy. Ir appears to me then, Sir, that we are not obliged to have recourfe to the conjectures of Meflrs SaussurE, BERGMAN, _ Wirke, &c. to explain the above phenomena, as you appear to — have been difpofed to do, in the paffage alluded to, with a mode- ration that does honour to your mode of philofophifing ; nay, if we were even inclined to employ them, I do not fee how they would anfwer our purpofe, being only hazarded opinions; but _ could they be verified, (which I doubt much) they would even | then be of very little ufe, as they could contribute nothing to the perfection of the theory of electricity. You CLIMATE of RUSSIA. eae You muft excufe-me, Sir, if I enter into another difcuffion which the fame paflage of yours has likewife given rife to. | mean, the opinions which feveral of the learned have thrown out of late years relative to two forts of electricity, Ir was I, Sir, as you know, who. firft gave rife to that idea 2 “many yea ago. I had riindle in my Tentamen tater: Ele&rie: F Regd A ow , 1 oi I ‘i well Leth; digefted and HENAN it with the Ht analogy of nature. | Tue Philofophers.you cite imagine they could remove this ; difficulty, by fuppofing the exiftence of two diftine elediric fluids, one of which is pofitive and the other negative. I fhail - confine myfelf at prefent to a few-remarks upon that fubject. Bsus: imo, THose who would pafs that idea for a new theory of i ted different from mine, (and there are thofe who sibel sida, will eee perfectly and elleosiuily with mine; nay, the planation of the phenomena, the reafoning, and even the ana- ¢ formula which they draw from their pretended theory, is -exaétly the fame as mine. But fuppofing their hypothefes could 4 be proved, there would refult from it nothing new, except that t might furnifh an explanation of one of the fundamental facts ) which I founded my theory, and which I did not follow, nor 1ink important enough to inveftigate the origin of, but was tented to admit it as an eftablifhed fact. 2do, My theory, 1 in confining itfelf to fimple well attefted facts, her affifts nor denies the exiftence of two, or even feveral aids, which nature might poflibly employ to effect the funda- mental laws on which I have eftablifhed my theory ; for when I nake ufe of the expreflion matter proper to bodies, it is evident, hat it means what remains in a body after we have drawn off | the eledtric fluid. , . ae) ) 3tio, 242. DISSERTATION on the 3tio, IN confulting the analogy of nature, one cannot fail to recollect, that all known bodies poffefs, befides the Newtonian attraction, which is common and general to them all,’ another attractive force, or that which produces cohefion between two pieces of polifhed marble, the afcent of fluids in capillary tubes, and an infinite number of other phenomena. Now, this laft - attractive force is evidently and effentially different from the firft ; for whilft the one follows the inverfe ratio of the fquare of the diftance, it is proved that the other is in proportion 'to a power, into which enters the reverfe ratio of the cubes, and © i probably of fome ftill higher power of the diftance. Ir then both experience and the analogy of nature, fhow the poflibility of the co-exiftence of two attractive forces in the fame body, governed by laws entirely different ; and as a repul- five force is nothing elfe than a negative attraétive one, myfup- pofition of the repulfive force of bodies, contains nothing but what is perfeétly conformable to the analogy of nature. You alfo make mention, Sir, and with reafon, of the frequent appearance of the beautiful phenomena of parheliums and mock moons in our climate, which enables us to be better ac- quainted with all the circumftances attending them, than people nearer the equator. I paid a particular attention to thefe phe- nomena for a part of the years 1758 and 1759, and I think have made fome important obfervations on that fubject ; but it isnot at prefent either the time or place to enter into them, efpecially as I have already given the principal faéts in a paper inferted in the eighth volume of the Novi Comment. Academ. Scien. Petrop. p- 392, by referring to which I fhall content myfelf at prefent. Ir is now time, Sir, to finifh this long letter, which has al- | moft {welled to a differtation ; and I fhall do fo, by ais HE you, that I am, with much efteem, Your obedient fervant, ~ St Pererssurc, Jan. 7—18. 1789, : ZEPINUS. | SIR, CLIMATE of RUSSIA. 243 SI Joa . January 23. 1789. % ‘a AN idea has ftruck me fince I fent off my laft letter, which “may poffibly merit fiab attention, and therefore I fhall ‘give it - Boru of us know long ago, Sir, and we have probably felt “@ ‘it lately, that when a fevere frott has lafted for a certain time : its effedts on our own Ar Beaies, as well as our furniture, although _ we even remain within doors in a comfortable {pring heat, with- a “out expofing ourfelves to the open air at all. It might be fup- ‘ pofed that thefe precautions would be fufficient; but they are : in fact far from being fo: for as foon as the fevere cold has -Tafted fome time, we find ourfelves attacked with a difagreeable enfation, which, like’all the reft of our fenfations, there is no ~ efcribing exa@lly. I fhall therefore only fay; that it confifts in : 2 fort of laffitude and heavinefs or torpor, affecting both the tude.” ‘Stich are our feelings during the continuance of the _ above defcribed weather, and I fhall next give you, Sir, my as on the caufe of this curious phenomenon. _ In the letter I had the honour to write you fome weeks ago, ne in oft our chamber-atmofphere ‘ohick ideas the fations enumerated above? For why fhould it not attack, un- . che rooms? Surely, what we call perfpiration muft be much increafed by it; and this confumption of our excreted fluids . pay poflibly be extended, I fhould think, to the nobler fluids neceflary 244 DISSERTATION, &c. neceflary to the funGtions of the animal ceconomy, fuch as what are called vital fpirits, the exiftence of which is fuppofed, with fome degree of probability, without our being able to fay what they are. This idea appears the more likely, as it is known that) | the diffolving power of air is not confined to water alone, but is extended to many other bodies. If then my conjecture is founded, there appears to me, Sir, a very eafy way to prevent this fort of difeafe ; for in fact it is one, although but flight and of little confequence ; we have only to give back to the air the humidity which the froft had robbed it of, which may be done, either by promoting the evaporation of a certain quan- tity of water in the room, or, what will be a much more con- venient and fhorter mode of doing it, to hang up a cloth of a proper fize, dipped in water, and wetted from time to time— I fubmit, Sir, thefe conjectures to your judgment; as all that regards the impreflion which, in length of time, may be made on the human body, by a very dry and a very drying air, falls more immediately into your line as a Phyfician, than into that of your moft obedient fervant, JEPINUS. You may make what ufe you pleafe of this letter, and give it the fame deftination as the firft, if you think proper. END OF PAPERS OF THE PHYSICAL CEASE N . The MEAN STATE of the rH , Weather, kept by Profeffor EuLer For the fix Winter Months, November, De and April, which make 181 days of the At 20 feet above the mean level of the } into the Gulph of Finland. At higheft, 28.87 comn At loweft, 26.99 often: Difference, 1.88 The n _ Mean height, 28.02 Paris inch It ftands 95 days above 28 inches, . De wIsxe’s Thermomet - Greateft cold, 196° commonly in January, abi HEIT, or 24° of R Leaft cold,. - 141° in November or April, 5° of Reaum. abo . ¥ Difference, 55° equal to 64° of Fanr. Mean cold of the night, 162° equal 23° of Fanr below o. And of the afternoon, 154° equal 27 of Reaum. below o. ; The cold has been above 170° for 47 nights, equal to 10°3 of Reaum. below o. And above 150‘ nights. The mean term of the firft froft, the 9th OStober, The mean term of the Neva freezing, the 27th Nx Perfe&t calm,, 28 days. Brifk gales, | 50 days. N. 14 days. E. 23 days. S. N.E. 19 —— 8. E. 12 —— 8.1 Bary (58 Sky clear, 39 days. Cloudy, 68 day: Fog, 26 Rain, 20 —— Snow, 64—— Mean term of the firi Quantity of rain and melted fnow, 4,22,’ or a Aurora Borealis, 16 or 17 days. Tempett, feldom. Hail, very feldom. [To face page 244. Phy/. Cl.] The MEAN STATE of the ATMOSPHERE in St Peterfburg, for Sixteen Years, extraéted from a Regifter of the Weather, kept by Profeflor EuLER, perpetual Secretary to the Imperial Academy of Sciences. For the fix Winter Months, November, December, January, February, March and April, which make 181 days of the common year. For the fix Summer Months, May, June, July, Auguft, September and Oétober, which make 184 days of the year. Se eB Ay Ry ©) elVine Eye eee eee At 20 feet above the mean level of the Neva, and at 6000 feet from its falling into the Gulph of Finland. At higheft, 28.87 commonly in January. At lowett, 26.99 ofteneft in November. Difference, 1.88 The mean between thefe extremes, 27.93. Mean height, 28.02 Paris inches. It ftands 95 days above 28 inches, and 86 days below it. N. B. The fcale of the barometer is divided into Paris inches and hun- dredth parts. At higheft, 28.47 ofteneft in May or Oétober. At loweft, 27-50 ofteneft in September or O&ober. Difference, 92 The mean between thefe extremes is 27.96. Mean height, 28.04 Paris inches. Its height for 107 days is above 28 inches, and for 77 days below it. Tee ee Ee SERV © eV Be es De .’Istx’s Thermometer in the fhade, and expofed to the north, the inftrument in ufe in the Imperial Academy of Sciences. Greateft cold, 196° commonly in January, equal to 24° below o of FAuREN- HEIT, or 24°2 of Reaumur below o. Leaft cold, 141° in November or April, equal to 57° of Faur. above o, or 5°2 of REAum. above o. Difference, 55° equal to 64° of Fanr. or 28° of Reaum. Mean cold of the night, 162° equal 23° of Fanr. above o, or equal 7° of Reaum. below o. And of the afternoon, 154° equal 27° of Faur. above o, or equal 2° of Reaum. below o. The cold has been above 170° for 47 nights, equal to 8° of Faur. above o, or equal to 1092 of REAUM. below o. And above 150°, or the freezing point, for 156 nights. The mean term of the firft froft, the 9th October, new Ttile. The mean term of the Neva freezing, the 27th November. III. WwW Perfect calm, 28 days. Light breezes, 84 days. Brifk gales, 50 days. Strong gales, 16 days. N. 14 days. E. 23 days. S.| 20 days. W. 45 days. Neko) ——— 5.E. 12 —— 5.W. 22 N.W. 26 IV. SUS YG AND Sky clear, 39 days. Cloudy, 68 days. Overcaft, 74 days. Fog, 26 Rain, 20 —— Snow, 64 Mean term of the firft fhow, O&. 9. N.S, Quentity of rain and melted fnow, 4,%,' or about 5 inches. Aurora Borealis, 16 or 17 days. Tempett, feldom. Hail, 7 very feldom, eels - Aurora Borealis, Greateft heat, 106° commonly in July or Auguft, equal to 85° of Fanr. above o, or to 24°5 of Reaum. above o. Leaft heat, 144° in May or O&ober, equal to 41° of Fanr. above o, or to 3° of Rraum. above o. Difference, 38° — equal to 46° of Faur. or equal to 2094 of REAuM. Mean heat of the afternoon, 127°, equal to 59° of Faur. above 0, or equal to 12° of Reaum. above o. And of thenight, 136°, equalto 49° of Faur. above o, or to 2°5 of Reaum. above o. The heat of the afternoon has been 130°, equal to 56° of Fanr. above o, or 10°? of Reaum. above 0; and above 150° for 182 days: That is to fay, that the ther- mometer has been fo many days above the freezing point. The mean term of the laft froft, 3d of May, new ftile. The mean term of the opening of the Neva, 19th of April. N= DD: Perfect calm, 41 days. Light breezes, 75 days. Brifk gales, 53 days. Strong gales, 15 days. N.- 32 days. E. 19 days. S. 22 days. W. 27 days. N. E. 15 —— 5. E. 18 S.W. 24 N.W. 27 mit ©) By IP UBL IR, I Je, Sky clear, 53 days. Cloudy, 87 days. Overcaft, 44 days. Fog, 17 Rain, 80 —— Snow, from 6 to 7 days. Mean term of the laft fnow, 4th of May, N.S. Quantity of rain-water, 10,25, or about 11 inches. from 8 to 9g days. Tempetts, from 11 to 12 Hail, from 2to 3—— II. Ldn Account of fome EXTRAORDINARY STRUCTURES on the Tops of Hills inthe HIGHLANDS; with Remarks on the Progre/s of the Arts among the ancient Inhabitants of Scor- LAND. By ALEXANDER FRASER TYTLER, Ef; Advocate, F.R.S.Epin. and Profeffor of Civil Hi ifory in the Univerfity i} oe EDINBURGH *. | N the year 1777, an account was publifhed by Mr Joun - i Wit.taMs, mineral-engineer, of certain remains of an- buildings on the fummits of fome of the hills in the hlands of Scotland, which had hitherto efcaped obfervation, which to him afforded grounds for a very extraordinary ofition, That they had been cemented together by means of » He mentioned feveral of thofe hills exhibiting remains uilding, which he had vifited and examined ; particularly hill of Knockfarril in Rofs-fhire, Craig-Phadrick near In- efs, Dun-Evan and Caftle-Finlay in the county of Nairn, he Caftle-hill of Finhaven in the county of Angus. He ibed the sinc of regular fortifications on the fummits of A 2 thofe * Part of this Paper was read in 1783, before the Philofophical Society of Edinburgh. ow enlarged, and printed by order of the Committee for publication of the Tran ions of the Royal Society of Edinburgh.. i ie eis 4 ANCIENT FORTIFICATIONS in thofe hills, of which the walls, remaining in fome places of fe- veral feet in height, were evidently compacted together by the vitrification of the ftones of which they were built ; and he of- fered fome ingenious conjectures with regard to the means em- ployed in forming fuch extraordinary ftructures, and the pur- pofes for which they might have been reared. Tuts account, which Mr WitiraMs himfelf candidly owned, was by many people treated as a fiction, excited, however, the curiofity of feveral travellers to vifit and examine fome of thofe hills which he had mentioned. In the fame year, 1777, Dr JAMES AnpeErson of Monkfhill, tranfmitted to the Society of Anti- quaries of London, a very elaborate account of fome ancient monuments and fortifications in the Highlands of Scotland, contained in two letters, which are publifhed in the sth and © 6th volumes of the Archeologia. In thefe he treats, at confider- able length, of the vitrified forts, and particularly of that upon the hill of Knockfarril in Rofs-fhire; and, agreeing with Mr Wictiams in the general idea, that, in rearing thofe ftructures, the builders had employed fire for the purpofe of cementing the materials, he differs from him a little as to the manner in which he fuppofes the fire to have been applied to the mound or rampart. Ir is curious to remark, how the fame appearances, to dif- ferent obfervers, lead to the moft oppofite opinions and conclu- fions. The two gentlemen above mentioned feem not to have entertained the fmalleft doubt, that the vitrified materials on the tops of thofe hills, were the veftiges of works of art, and the remains of f{tructures reared for the purpofes of fecurity and defence. The Bifhop of Derry, when on a tour to the north of Scotland, vifited the hill of Craig-Phadrick near Invernefs, and exprefled his opinion, that the mounds of vitrified matter were not the remains of any artificial work, but the traces of an ancient volcano. In the Philofophical Tranfactions of the Royal Society of London for 1777, Part II. No, 20. is an ac- count The HIGHLANDS of SCOTLAND. 5 count of Creck Faterick, there termed a volcanic bill near Invernefs, in a letter from Tuomas WEst, Efq; to Mr Lang, F.R.S. _ in which the writer does not hefitate to pronounce this hill an extinguifhed volcano; and having fent fpecimens of the burnt matter for the infpection of the Royal Society, the Secretary fubjoins a note to the paper, intimating, that “ thefe {pecimens “ having been examined by fome of the Members well ac- _ “ quainted with volcanic produtions, were by them judged to “be real lava.” Such was likewife the opinion of a very inge- nious Member of this Society, the late ANDREW Crossiz, Efq; who, in an account which he gave to the Philofophical Society _ of Edinburgh in 1780, offered fome curious conjectures with _ regard to the procefs of nature, by which he fuppofed the whole _ of this hill to have been thrown up from the bottom of the fea _ by the operation of inteftine fire. ‘Tue perufal of Mr Witt1AMs’s pamphlet and of Dr ANDER- _ $ON’s account, as well as thofe differing opinions I have men- _ tioned, excited my curiofity, in a journey I made to Invernefs- _ fhire in autumn 1782, to examine, with fome attention, fuch of - the hills mentioned by Mr WixiiAms as lie in that country; and I now propofe to lay before this Society the refult of that _ €xamination, which, however, I confine chiefly to Craig-Phad- _ rick, as that which I have moft minutely furveyed. - Crarc-Puaprick is a {mall conical hill, which forms the eaftern extremity of that ridge of mountains which bounds ~ Loch-Nefs upon the north-weft fide. It is fituate about a mile to the north of Invernefs, and commands an extenfive profpect _ of both fides of the Murray frith, to the diftance of above forty miles. It is acceflible on two different quarters ; on the weft “ by a narrow but level ridge, which joins it to the chain of hills _ upon Loch-Nefs ; and on the fouth-eaft, by an eafy afcent from the high ground above the town of Invernefs. When feen _ from the oppofite heights, it appears pretty much of a conical _-fgure; the top cut off, forming a level furface, bounded at te . each 6 ANCIENT FORTIFICATIONS in “ each end by a {mall rifing or fhoulder. At the diftance of three or four miles, its artificial appearance is more perceptible than upon a nearer approach, when the eye, feeing only a part, fails to take in the great outlines, and to perceive their regularity and fymmetry. A more diftin@ idea of the general form of this hill than can be given by defcription, may be obtained from a fketch taken from the oppofite high grounds, at a few miles di- flance. See Plate I. fig. 1. In this fketch, Craig-Phadrick is marked by the letter C. B are thofe hills, a part of the fame ridge, which bound Loch-Nefs upon the north-weft; and D is a conical hill oppofite to Craig-Phadrick, on the other fide of the Murray frith. Ow approaching Craig-Phadrick from the level saae upon the weft fide, what firft prefents itfelf to view is a road cut through the rock, from the bottom to the fummit; in moft places about ten feet in breadth, and nearly of the fame depth, winding in an eafy ferpentine direction for about feventy feet ; by which means an afcent is gained over a very fteep rock, which is otherwife quite inacceflible from that quarter. See Plate I. fig. 2. The form alone of this road leaves little room to doubt of its being an operation of art. I examined the fides of it, where it is cut into the rock, to fee if there were any marks of a tool. A labourer, who attended me with a mattock, or quarryman’s pick, declared his opinion, that, in many places, there were marks of an inftrument fimilar to what he had in his hand ; but the rock being compofed of many rounded pebbles, and when broken prefenting a furface, in which the beds of thofe pebbles have often an appearance like what is made by the ftroke of a tool, I lay little weight upon that circumftance. The form alone of this road, as I have already faid, was fufficiently convincing to me of its being an operation of art. From the nature of the ftone itfelf, of which this hill is formed, and from that compound appearance of water-worn pebbles, flicking in a cementing mafs, it has been conjectured, that The HIGHLANDS of SCOTLAND. 7 that thefe pebbles, together with the bed in which they are lodged, had been forced up from the bottom of the fea, by in- ternal fire ftruggling for a vent, which it afterwards obtained at the fummit. With regard to the nature of the ftone of this hill, I fhall here obferve only, that this compound appearance in the rock at Craig-Phadrick, affords no more prefumption of this particular hill being forced up by fire from the bottom of the fea, than it does of all the furrounding hills for many miles having the fame origin. The greateft part of the hills which bound Loch-Nefs, both on the north and fouth, are compofed of the fame materials, or at leaft contain large {trata of the ftone I have mentioned. Yet none of thofe hills that I have feen, or on enquiry have ever heard of, exhibit the {fmalleft appearance of the effects of fire; though, being infinitely higher than Craig-Phadrick, and confequently demanding a much greater force to raife them up, had fire been the agent, its effects on them would probably have been much more confpicuous than on a hill incomparably fmaller. . THAT the materials which compofe the hill of Craig-Phad- rick, as well as all other hills, of which the ftone is of a fimi- lar nature, have originally been under water, I have not the fmalleft doubt. The compound appearance of the rock, which is evidently a mafs of water-worn pebbles, of various fize, na- ture and colour, fticking in a bed of clay, leaves no room to doubt of its origin. But whether thofe hills, which confift of fuch compound materials, have been forcibly raifed up from the bottom of the water, by fome convulfion of nature, or formed by a gradual alluvio, or depofition of materials under a mafs of water which has now deferted them, (as fand-banks are formed in the fea) is what we have no grounds for deter- mining with certainty, and few to found even a probable con- jeGture: Since, with regard to this particular hill, there never has been a, feGtion made acrofs any part of it, from which the component ftrata might be perceived, or the difpofition in which 8 ANCIENT FORTIFICATIONS in which they lie. All that I am at prefent concerned to fhew, is, that, from the fuperficial or external appearance of this hill, there is no reafon for fuppofing that it ever contained inteftine fire. Tue ftone, of which the whole of this hill, and moft of the neighbouring hills are compofed, is a mixed mafs of round water-worn pieces of different. coloured granite, greyifh or fpeckled quartz, and the common white quartz. This compound ftone, which is well known to miners, has, from its appear- ance, been termed slum-pudding ftone. 'Thofe who have en- tertained the notion of Craig-Phadrick’s being an extinguifhed volcano, have maintained, that this compound ftone is of the nature of the volcanic twfas. This, however, will be acknow- ledged to be a miftake, by all who have examined and compared the two fubftances. The volcanic tufas are all compofed of materials which have undergone a change by fire; the plum- pudding ftone has undergone no fuch change. Sir WiLLIAM HAMILTON defcribes tufa to be a foft ftone, compofed of pu- mice, afhes and burnt matter, its colour often tinged with grey, green and yellow. It is formed, fays he, by water making up thefe materials into a fort of clay, which afterwards hardens. The plum-pudding ftone, on the contrary, contains no burnt materials. Its component parts, fo far from being already burnt, when expofed to fire, undergo a total change, and the whole ftone fuffers an imperfect vitrification. Upon the whole furface of this hill, and amidft all the detached fragments, both of the natural ftone and of the vitrified matter, there is not, fo far as I could obferve, any thing that bears the appearance of a pumice ftone. The burnt matter, indeed, is often full of {mall holes or honey-combed ; but it ftill retains a glafly appearance and a confiderable weight, both which circumftances fufficient- ly diftinguifh it from pumice. Ba/altes are, I believe, conftant- ly found, in fome form or another, upon all volcanic hills ; but neither on the rock of Craig-Phadrick, nor on any of the neigh- bouring + re The HIGHLANDS of SCOTLAND. 9 bouring hills is there, fo far as I could obferve, the fmalleft ap- pearance of that kind. Tue vitrified matter on the fummit of this rock is, therefore, the only circumftance which pofitively vindicates the effect of fire ; and this I fhall now proceed to examine. f Tue Society have already had before them fpecimens of this burnt or vitrified matter. I fhall, therefore, fuppofe, that they _ are fufficiently acquainted with its appearance. It will be re- collected, that in none of the fpecimens which were produced, was there any thing like a total fufion of the materials. Some parts of the mafs feemed to be portions of argillaceous and un- vitriable ftone ; others of {tones of which a part had been in fufion, while the reft remained in its natural ftate. Thefe cir- cumftances, of themfelves, are fufficient to diftinguith this fub- ftance from volcanic lava, which is an uniform homogeneous qj mafs, of which every part has been ina ftate of fufion. Nei- ther has this vitrified fubftance the appearance of thofe /coria _ thrown up from volcanos, which are probably the fcum of the _ lava, or fuch parts of the materials as either never were fufible, 4 or have loft their fufibility and principle of inflammability : _ For the burnt fubftance on the top of Craig-Phadrick is rather HH a mixture of fufible with unfufible fubftances ; many parts ap- _ pearing to have been in the moft perfect fufion, while others fare remained in tlieir natural ftate. | _ Bur the circum{tance which, in my apprehenfion, evinces, _ in the moft fatisfattory manner, that thofe appearances of the _ effect of fire on the fummit of this hill, are not the operation of ~ materials, the form of the ground, and the various traces of kill and contrivance which are yet plainly difcernible, though literating hand of time. To proceed regularly in examining thofe appearances of artificial contrivance, I return to that B through 10 ANCIENT FORTIFICATIONS in through the rock for the purpofe of gaining an eafy afcent from the level ridge to the fummit, which would otherwife have been impracticable. In mounting up by this road, and towards the middle of the afcent, there appears a fmall platform overhanging the road, upon the right hand, and inclining, by a very gentle declivity, to the edge of the rock. Upon this platform, and on the very edge and extremity of it, are placed four enormous ftones, which have been evidently guided by art into that pofition ; as it is impoffible, fuppofing them to have rolled down, that they ever could have refted in that fituation. The pofture of thefe ftones leaves no doubt as to the purpofe they were intended to ferve. Upon an alarm of danger, the ftrength of a very few men was fufficient to raife thefe enormous ftones fo as to de- {troy their balance, and project them into the hollow road, which they would entirely block up, and thus either prevent all accefs, or render the pafs fo difficult, as to be with eafe defend- ed by a few againft any number of affailants. This winding road, with the platform upon the right, may be feen in Plate I. fig. 2. which is a {ketch of the top or cone of the hill, as it rifes from the level of the ridge to the weft. Some other large {tones are likewife placed on an eminence to the left of the road, evidently to ferve a fimilar purpofe with thofe on the right, and to block up or defend a hollow channel, by which an afcent might have been attempted, by following the waving direG@tion of the natural furrows of the hill at B, C and D. On arriving at the fummit of the hill by the winding road, and a few feet below the rampart which crowns the top of the hill, there appears an outward wall furrounding the whole, which approaches on the fides of the hill fo near to the upper rampart, as to leave only a fofsé or trench of ten or twelve feet in width between them; unlefs at the weft extremity, where this outward wall extends itfelf to a greater diftance from the inner rampart, and forms a level platform, of an oblong and fomewhat Th, HIGHLANDS of SCOTLAND. II fomewhat femi-circular fhape, about forty yards in length, and fifteen at its greateft breadth. In Plate II. fig. 1. which is a ground-plan of the whole works upon the fummit of this hill, the outward wall is marked by the letters P, M, N, X,Q 5 and at P is the level platform above mentioned. This outward wall is in many places fo low, as to be almoft level with the rock, though, in other places, it rifes to the height of two or three feet ; but even where it is loweft, the marks of it may be traced by a line of vitrified matter fticking faft to the rock, all along nearly of the fame breadth, which, in moft places, is about nine feet. The remains of this wall are ftrongly vitri- fied, unlefs in one place upon the north fide, where, for about feventy yards, the rampart is formed only of dry ftones and earth. The probable reafon of this | fhall afterwards mention, It is fufficient juft now to obferve, that the ftrong natural de- fence that was afforded on this fide, by the extreme fteepnefs of the rock, which is here almoft perpendicular, fuperfeded the neceflity of much artificial operation, there being little hazard that an affault would ever be attempted on this quarter. Every where elfe this outward wall appears completely vitri- fied ; and at the eaft fide, where the hill is more acceflible, and the declivity more gradual, there is a prodigious mound of vi- trified matter, extending itfelf to the thicknefs of above forty feet. At the fouth-eaft corner, and adjoining to this immenfe mound, is an out-work, confifting of two femi-circular vitrified walls, with a narrow pafs cut through them in the middle. This appears to have been another, and perhaps the principal entry to the fort. It was neceflary that there fhould be two entries ; one from the level ridge which joins this hill on the ‘weit to that chain of which it forms the extremity, the other from the low country to the eaft. The entry to the weft was defended inthe manner already defcribed ; that towards the eaft did not admit of a defence of the fame kind, but was fecured | _ by three ramparts; and the pafs through the femi-circu- B 2 ; lar 12 ANCIENT FORTIFICATIONS i lar out-work was made fo narrow as to be eafily defended, or even blocked up with ftones and earth, upon the fhorteft notice of danger. We come now to the inner wall furrounding the fummit of this hill, and inclofing a level fpace, of the form of an oblong {quare, about feventy-five yards in length and thirty in breadth, rounded, like the outward wall, at each of the ends. This inner wall is nearly of the fame thicknefs with the outward one, and is of confiderable height. There is fome appearance that it has been armed with four baftions or turrets; as, at regular di- ftances, at thofe places marked d,d,d,d, (Plate II. fig. 1.) the wall enlarges itfelf confiderably in thicknefs, in a circular figure, like the foundation of a fmall tower. Of this, how- ever, the traces are fo imperfect, that I will not take upon me to fay whether they may not be entirely an accidental irregula- rity. In the fame light I was at firft difpofed to have confider- ed the circle C, confifting of a number of {mall ¢wmuli of earth, with a {tone placed in the centre, which I fuppofed might have been nothing more than an accidental appearance, till lately, that, from the defcription of fome ancient fortifications of a fimilar kind in Ireland, I find there are, in many of them, cir- cles of {mall tumuli, like what I have mentioned, which are fuppofed to have marked the place fet apart for the chief, as the pretorium in the camps of the Romans. But within this inner fpace, there are other marks of artifi- cial operation, which are lefs ambiguous. On looking at the ground-plan, (Plate II. fig. 1.) there appears, on the eaft fide, a portion of the internal fpace, marked S, which is feparated from the reft by two ranges of ftones ftrongly fixed in the ~ ground, in the form of a rectangular parallelogram. This fe- paration is immediately difcernible by the eye, from this cir- cumftance, that the whole of the inclofed fummit has been moft carefully cleared from ftones, of which there is not one to be feen, unlefs thofe that form this divifion, and the fingle ftone (The HIGHLANDS of SCOTLAND. 13 ftone in the middle of the circle of tumuli above mentioned. What has been the defign of this feparated fpace, is difficult to conjecture. It might, perhaps, have marked the refidence of thofe _ ofahigher rank, or ferved as a temple for the purpofes of devotion. ‘TowArps the eaft end of the large area on the fummit, and at the place marked q in the plan, are the veftiges of a well, about fix feet in diameter, which has probably been dug deep into the rock, though it is now filled up with rubbihh to within a yard of the furface. Sucu are the appearances on the fummit of Craig-Phadrick, which exhibit, in my opinion, fuch evident and. unambiguous _ traces of artificial operation, that I cannot conceive a difference of opinion to have arifen concerning their origin, but from too inattentive and hafty a furvey of them, joined to a partiality for thofe hypothefes, extremely fafhionable at prefent, which afcribe a vaft variety of natural appearances to the operation of ancient volcanos. OF thofe fortified hills mentioned by Mr Wittrams, I had likewife an’ opportunity of examining two others, the hill of ‘Dun-Evan in the County of Nairn, and the Caftle-hill of Fin- haven in the county of Angus. On the fummit of the hill of Dun-Evan, (of which the name implies that it had been originally a place of defence) "i there have been two walls or ramparts furrounding a level {pace of the fame oblong form with that upon Craig-Phadrick, though hot quite fo large. There are likewife the traces of a well with- y in the inclofed area ; 3 and at the eaft end, as at Craig-Phadrick, there are the remains of a prodigious mound or mafs of build- _ ing, much more extenfive than that which we have remarked ap upon the former hill. In all thefe operations, which, in their - form, are perfeétly fimilar to thofe on Craig-Phadrick, there are not, however, fo far as I could perceive, any marks of vi- : Deiaédiion or the effects of fire. Mr Wr iiams, in his de- bs tad - feription of Dun-Evan, fays, that the vitrified ruins are more watted 14 ANCIENT FORTIFICATIONS in wafted here than upon Knock-farril or Craig-Phadrick ; but as neither I myfelf, nor two other gentlemen who examined this hill along with me, could perceive the fmalleft appearance of vitrification, I am inclined to believe, that, in this inftance, Mr WituiaAms’s fondnefs for his new difcovery has a little blinded him in his obfervations. Dun-Evan has, in my appre- henfion, been fortified with walls of dry {tone and earth; but thefe of great thicknefs, and very compactly built, as appears by their remains at this day. The entry Mr WiLtiAms fup- pofes to have been at the eaft end, where there has been, as al- ready obferved, a prodigious rampart of ftones. But in this particular he is evidently miftaken. The entry has, without doubt, been upon the weft fide, where there is a ferpentine road from the bottom to the fummit, extremely con{fpicuous, which is vifibly continued for a confiderable diftance along the low ground at the foot of the hill, and is regularly formed, by filling up hollows and levelling rocky heights which lay in its Way. Tue inclofed fpace on the fummit of the Caftle-hill of Fin- haven, is of much greater extent than that upon Craig-Phadrick or Dun-Evan. The area is about 140 yards in length, and above forty in breadth. The vitrified remains of a rampart are extremely vifible all around the fummit, which is cleared of ftones and levelled, unlefs at one end, where there is a great hollow fpace feparated from the reft of the area, and probably de- ftined exclufively for the keeping of cattle. The remains of ftru€ture upon this hill are, in other refpects, nearly fimilar to thofe on Craig-Phadrick and Dun-Evan. AnoTuer fortified hill, which is not among thofe enume- rated by Mr Wittiams, I have likewife vifited, and have exa- mined with particular attention. This is Dun-Jardel, a very high hill, which rifes in a beautiful, irregular, conic figure, on the fouth fide of Loch-Nefs, about two miles to the eaftward of the fall of Fyers. The fummit is acceffible only on the fouth The HIGHLANDS of SCOTLAND. 1§ fouth fide by a narrow ridge, communicating with the hills of Stratherrick, of which it terminates a fmall collateral chain. On every other quarter, the afcent is almoft perpendicular ; and the bafe of the hill is defended by a very rapid river, which winds along two thirds of its circumference. The in- clofed area on the top of Dun-Jardel is an oblong fquare of twenty-five yards in length and fifteen in breadth. It is, there- fore, confiderably fmaller than any of the three fortified hills above mentioned ; but is, from its fituation and form, incom- parably ftronger, and muft, in thofe periods when it was re- -forted to for defence, have been quite impregnable. The area on the fummit is levelled, cleared of ftones, and has in it the remains of a well. It is furrounded with a very ftrong wall of dry ftones, which has formerly been of great height and thicknefs, as may be conjectured from the prodigious quantity of ftones that has fallen only from one fide of the fortification, and has refted upon the level ridge on the fouth fide. Thofe parts of the building on the other fides which have gone to de- cay, muft have rolled down the precipice into the river at the bottom. It is remarkable, that, on afcending the conical fum- mit of Dun-Jardel, there is, upon a {mall fhoulder of the hill, about fifty or fixty feet below the fortification on the top, a cir- cle of large ftones, firmly fixed in the ground, with a tranfverfe double range of ftones, extending from one fide, to ferve as an avenue or entry to the circle. This is, without doubt, a monu- ment of the fame nature with thofe which are termed Druidical Temples, and muft have been appropriated to the fame purpofes ; but whether it had any conne¢tion with the fortification on the fummit of the hill, I fhall not take upon me to determine. It may, however, afford fome ground, as I fhall afterwards fhew, for a conjecture as to the period when thofe extraordinary for- tifications were reared. IMMEDIATELY oppofite to Dun-Jardel, on the north fide of Loch-Nefs, is another conical hill called Dun-Sgrebin, on the fummit 16 ANCIENT FORTIFICATIONS in fummit of which, as I was informed by a gentleman who re- fides in that neighbourhood, there are fimilar remains of a for- tification, compofed of dry ftone, like thofe on Dun-Evan and Dun-Jardel. Mr WiLtraAms mentions a {mall fortified hill near Fort-Auguftus, called Tor-Dun, which is plainly difcernible from Dun-Jardel. Dun-Jardel is diftinély feen from Dun- Sgrebin ; and from the fituation of the country, this laft is, in all probability, feen from Craig-Phadrick. Craig-Phadrick is plainly difcernible from Knockfarril, and Dun-Evan and Catftle- Finlay (a fortified hill in the fame neighbourhood) from Craig- Phadrick. Thus, there is a chain of feven fortified hills, com- manding a very large tract of country, over which an alarm could be communicated with the utmoft celerity ; and I think it is not improbable, that, upon a minute furvey of the moun- tainous country, it would appear, that there have been, in fome former period, chains of communication of this kind through - many of the regions in the northern parts of the ifland. Nor were fortified places of this kind peculiar to the north- ern parts of Britain. The Honourable Darnes BARRINGTON, in a memoir printed in volume vi. of the Archzologia, affirms, that there are many fuch ftructures of dry ftone upon the tops of hills in Wales, and particularly in Merioneth-fhire, In Dr Bortase’s Hiftory of Cornwall, we are informed, that there are the remains of fimilar ftru€tures in that country. Some of thefe the author has defcribed under the name of Hill- caftles. In Ireland, the remains of fuch fortifications on the tops of hills, are yet much more frequent than in this country. Harris, in his republication of Sir James Ware’s Anti- quities of Ireland, in treating of what are called Danes raths or Danes forts, in that country, defcribes precifely fuch fortifica- tions or ftrudtures, as thofe on the fummits of the hills we have mentioned, viz. conical mounts terminating in an oblong level area, and furrounded with the remains of ftrong ramparts. The. The HIGHLANDS of SCOTLAND. 19 The very general tradition, of attributing thefe fortifications, both in Ireland and in this country, to the Danes, I fhall af- __ terwards fhew to be quite erroneous. In a collection of mifcel- a laneous eflays towards a natural hiftory of Ireland, publifhed by Dr Motynevux, Dr Gerarp Boars, and others, there is an accurate defcription given of thofe ftruGures. “ Mott of * thofe in Ireland,” fays Dr Motynevx, “ are furrounded on- “« ly by earthen ramparts. Some, though but a few, are en- “ compaffed round with walls of {tone caft up inftead of éarth, “ yet without any mortar. Two of thefe may be feen at _ Farmoyle in the county of Longford.” The authors of the ancient and modern {tate of the county of Down, defcribe par- ticularly five of thofe fortified mounts, which are but a few, _ out of a vaft many in that fingle county. On the Rath at _ Crown-bridge near Newry, there is, at the weft end of the le- - vel area, and about fifty feet below it, a fquare platform, fuch as we have defcribed at the weft end of the fortification on _ Craig-Phadrick. The tradition is, that this platform at Crown- 3 _ bridge, was the arena where two competitors decided, in fingle _ combat, the difputed right to the Crown of Ireland. Wricur, in his Low¢biana, or introdudtion to the antiquities of Ireland, _ defcribes and gives plans of many fuch fortified mounts, all of _ which are furrounded by ramparts; and moft of them have at _ the extremities flrong outworks below the level of the fort it- felf. One of thefe, which is'called Green Mount, near Caftle- Bellingham, appears from the engraving in Mr Wrrcurt’s _ book, to bear a near refemblance in its plan to Craig-Phadrick. None of thofe remains of building upon the hills in Ireland, - fo far as is taken notice of in the defcriptions of them I have _ mentioned, exhibit any marks of vitrification. Three of the _ fortifications I have enumerated in the neighbourhood of Inver- _nefs, are likewife crowned with dry ftone ftructures, without _ any appearance of the effects of fire; and I am inclined to be- lieve, that, upon an accurate furvey of thofe extraordinary Vou, II. Cc works, ae 18 ANCIENT FORTIFICATIONS in works, the number of thofe that fhow marks of vitrification will be inconfiderable, when compared with thofe that have not been at all affeCted by fire. I am led, from this circumftance, to form an opinion different from that of Mr WiLi1Ams, and of fuch as believe thofe ftructures to be the proofs of an an- cient mode of building, in which fire was employed for the purpofe of cementing, before our anceftors knew the ufe of lime. Iam difpofed to think, that the appearances of vitrifica- tion on fome of thofe hills, are the accidental effects of fire up- on a ftru€ture compofed of combuftible and fufible materials, and by no means the confequence of an operation intended to produce that effect. Tue buildings reared by the ancient inhabitants of this country, both for habitation and defence, would naturally be compofed of fuch materials as the rude ftate of the country prefented in abundance, and fuch as required little, either of labour or of fkill, to bring into ufe. In thofe quarters where ftone could be eafily quarried in fquare blocks, or where it fplit into /aming, no other material than the fimple ftone was necef- fary, and very httle labour was fufficient to rear the ftructure. Such has been the cafe at Dun-Jardel and Dun-Evan. But where the ftone is of that nature as not to be eafily fplit into fquare blocks, or feparated into /aming, but is apt to break into irregular and generally fmall fragments, as the rock of Craig- Phadrick, and all others of the plum-pudding kind, it would be extremely difficult to form a regular ftru€ture of fuch mate- rials alone, which fhould be endowed with fufficient ftrength. The mode in which I imagine building was practifed in fuch fituations, was by employing wood, as well as ftone, in the fa- bric. The building, I fuppofe, was begun by raifing a dou- ble row of pallifades or ftrong ftakes, in the form of the in- tended ftructure, in the fame way as in that ancient mode of building, defcribed by PALLADIo under the name of Riempiuta, & The HIGHLANDS of SCOTLAND. 19 a caffa, or coffer-work *. Thefe ftakes were probably warped acrofs by boughs of trees laid very clofely together, fo as to form two fences, running parallel to each other at the diftance _ of fome feet, and fo clofe as to confine all the materials, of whatever fize, that were thrown in between them. Into this intermediate f{pace, I fuppofe, were thrown boughs and trunks of trees, earth and ftones of all fizes, large or fmall, as they could quarry or collect them. Very little care would be necef- fary in the difpofition of thefe materials, as the outward fence would keep the mound in form. In this way, it is eafy to con- _ ceive, that a very {trong bulwark might be reared with great difpatch, which, joined to the natural advantage of a very in- acceffible fituation, and that improved by artful contrivances for encreafing the difficulty of accefs, would form a ftru@ture capable of anfwering every purpofe of fecurity or defence. Tue moft formidable engine of attack againft a ftruture of this kind, would be fire; and this, no doubt, would be al- ways attempted, and often fuccefsfully employed by a be- fieging enemy. ‘The double ramparts, at a confiderable di- ftance from each other, and the platform, at one end, were certainly the beft poffible fecurity againft an attack of this kind. But if the befiegers prevailed in gaining an approach to _ the ramparts, and, furrounding the external wall, fet fire to it in feveral places, the conflagration muft fpeedily have be- come general, and the effect is eafy to be conceived. If there happened to be any wind at the time, to increafe the intenfity _ of the heat, the ftony parts could not fail to come into fufion, b C 2 ~ and * La maniera rzempiuta che fi dice anco a cafja, facevano gli antichi, con tavole pofte in coltello tanto fpacio, quanto volevano che fofle groffo il muro, empiendolo di malta, e di pietre di qualunque forte mefcolate infieme, e cofi andavano facendo di corfo in corfo. Si veggone muri di quefta ‘forte a Sirmion fopra il lago di Garda. Di quefta maniera fi poffono anco dire le mura di Napoli, cioe le antiche, le quali hanno due muri di faffo quadrato, groffi quattro piedi, e diftanti tra fe piedi fei — e fono empiute di fafi editerra. Pauuap. Architect. lib. 1. cap. 9. ; 20 ANCIENT FORTIFICATIONS in and (as the wood burnt away) finking by their own weight in- to a folid mafs, there would remain a wreck of vitrified mat- ter, tracking the {pot where the ancient rampart had ftood; ir- regular and of unequal height, from the fortuitous and unequal © diftribution of the {tony materials of which it had been com- pofed. The appearance at this day of thofe vitrified mounds creates the ftrongeft probability of the truth of this conjecture. They do not appear ever to have been much higher than they are at prefent; as the fragments that have fallen from them, even in thofe places where the wall is loweft, are very inconfi- derable. From the durable nature of the fubftance, they mwu{t have fuffered very little change from time, though, from the gradual growth of the foil, they mu(t, in fome places, have loft, in appearance, a good deal of their height, and, in others, have been quite obfcured. Mr Witiiams, in making a cut through the ramparts at Knockfarril, found, in many places, the vitrified matter entirely covered with peat-mofs of half a foot in thicknefs. I wave obferved, that, in the fortification on Craig-Phad rick, a large portion of the outward rampart upon the north fide bears no marks of vitrification. The reafon of this it is eafy to explain. In the ftru€lure of this part of the wall no wood has been employed; for the extreme fteepnefs of the rock on this quarter rendered any rampart for defence entirely unneceflary. A low fence of ftones and turf was fufficient here to prevent the cattle, which were probably lodged between the outer and inner rampart, from falling over the precipice. Such is that fence which at prefent remains on the north fide of the rock of Craig-Phadrick. Ir appears, therefore, highly probable, that the effect of fire upon thofe hill-fortifications, has been entirely accidental, or, to {peak more properly, that fire has been employed, not in the conftruction, but towards the demolition of fuch buildings ; and for the latter purpofe it would certainly prove much more efficacious . The HIGHLANDS of SCOTLAND. ar efficacious than for the former. It is much to be doubted, whether it would be at all poflible, even in the prefent day, by _ the utmoft combination of labour and of {kill, to furround a large {pace of ground with a double rampart of ftones, com- _ patted by fire, of fuch height and folidity as to ferve any pur- _ pofe of fecurity,-or defence againft a befieging enemy. Any _ ftruéture of this kind muft have been irregular, low, fragile, _ eafily fcaled and quite infecure; a much weaker rampart, in _ fhort, than a fimple wall of turf or wooden pallifade. The _ veftiges yet remaining, as I have already obferved, give no - room to fuppofe, that the vitrified mound has ever been much _ more entire than itis at prefent. ‘The effect of fire upon ftruc- tures reared in the manner I have fuppofed them to have been, _ will account moft perfe&ly for their prefent appearance. Ir was from neceflity that the builders of thofe fortifications _ betook themfelves to a mode of ftructure fo liable to be de- _ ftroyed by fire. In thofe parts where ftones could be eafily quarried, of fuch fize and form as to rear a rampart by them- _ felves of fufficient ftrength and folidity, there was no occafion. _ to employ wood or turf in its conftructon, and it was there- _ fore proof againft all aflault by fire. Such are the ramparts. _ which appear on the hill of Dun-Jardel, Dun-Evan, and many _ others, on which there is not the fmalleft appearance of vitrifi- _ cation. . But on Craig-Phadrick, and the other hills above de- feribed, where, from the nature of the rock, the ftones could _ be procured, only in irregular and generally {mall fragments, _ it was neceflary to employ fome fuch mode of conftruction as Ihave fuppofed ; and thefe ramparts, though folid and well calculated for defence againft every attack by force or ftratagem, were not proof againft the affault by fire. _ Bor thofe ancient fortifications prefent a. much more curi- ous and more interefting obje&t of fpeculation, than thofe un- _ certain and indeed fruitlefs conje@tures as to the mode in which they have been reared. It is evident, that, were it poflible to a afcertain. 22 ANCIENT FORTIFICATIONS in afcertain the zra in which thofe fortifications were conftructed, fome ufeful light might be thrown upon the ancient hiftory of this country, and the condition of fociety in thofe remote pe- riods. This I fhall now attempt ; and, in the courfe of a fhort difquifition upon that fubject, fhall have occafion to mark the progrefs of archite€ture in Britain, from its firft introduétion _into the fouthern parts, till it had attained to confiderable per- fection, and the knowledge of the art of building had extended itfelf, in fome degree, to the remoteft quarters of the ifland. At the time when thofe fortifications were reared, it is evi- dent that the ufe of mortar was unknown. As it mutt be fup- pofed that the builders exerted the utmoft of their architectural fkill (fo far as ftrength was concerned) in fabricating thofe ftructures, we cannot doubt, that, as the country abounded in lime-{tone, had its ufe been known as a cement, it muft have been employed in fuch works. This brings them at once up to a period of time prior to the Roman eftablifhments in the northern parts of Britain. The Romans employed mortar in all their buildings, of which many remains are at prefent exift- ing in thofe parts of the ifland where they are known to have formed fettlements. They taught the Britons the ufe of that cement, of which, till then, they were ignorant. At the time of Ca#sar’s invafion of Britain, the inhabi- tants of the fouthern, and probably the moft civilized part of the ifland, lived in huts conftructed with turf, or with the branches of trees. Their towns or villages were nothing more than an inclofed part of a wood, furrounded by a ditch and rampart, within the circle of which they reared their huts. ‘“ Oppidum vocant Britanni cum fylvas impeditas val- * lo atque foffa munierunt.” Cas. de Bell. Gal. lb. 5. cap. 21. Thefe inclofures or towns were but a temporary refidence, and geil reforted to, only when it was neceflary to defend themfelves i The HIGHLANDS of SCOTLAND. 23 _ themfelves againft an enemy *. They were fo fpacious as to __ afford fecurity, both to the inhabitants themfelves and to their cattle. “ Urbium loco ipfis funt nemora. Arboribus enim ** dejectis ubi amplum circulum fepierunt, ibi cafas ibidem fibi “ponunt, et pecori ftabula condunt, ad ufum quidem non “ longi temporis.” Srraso Geogr. lib. 4. +. Of this nature were all the Britifh towns in the fouthern part of the ifland at the time of Casar. Such was the town of Caflibelanus, pro- bably a place of the greateft confideration in the ifland, as be- ing the refidence of that chief under whom the whole of the fouthern Britons agreed to unite their forces to oppofe the Ro- mans at their fecond defcent upon the coafts. “ Ab his cog- “ nofcit non longe ex loco oppidum Caffibelani abeffe, filvis pa- “ ludibufque munitum, quo fatis magnus hominum pecorif- “* que numerus convenerit.” Cais. de Bello Gal. lib. 5. cap. 21. \ This oppidum Caffibelani was Verulamium, the prefent St Al- bans. (See CAMDEN, and HorsLey’s Britannia Romana.) Lon- _ don, or the capital of the Trinobantes, was then a place of in- _ ferior note to Verulam. The Romans dignified the latter with the title of a municipium, while the former was fimply an ofpi- _ dum; and therefore ftriétly correfpondent to C#sar’s general ' defcription ; a portion of a thick wood furrounded with a ditch and rampart. F 2 ’ It * Tue picture given by Tacitus of the manner of life of the Germanic tribes, may _ probably be applied, with very little difference, to all the contemporary barbarous na- i“ quidem inter fe junétas fedes. Colunt difcreti ac diverfi, ut fons, ut campus, ut ne- _ “ mus placuit. Vicos locant non in noftrum morem, connexis et cohzrentibus zdificiis : _ fuam quifque domum {patio circumdat, five adverfus cafus ignis remedium, five in- “ {citia edificandi. Ne camentorum quidem apud illos, aut tegulorum ufus.” Tacit. i de Mor. Germ. cap. 16. | Poets dt eurwv erony os Seupcos. wregiPpakarrac yoep devdpecs xarePeBrnucerors evenxwen xv“rov, xat euros evravSa xaruGomourras, xo Te Rocknmare xarasaSusvoios, 8 eos moAUY Xeore7, STRARO Geog. 1.4. i 24 ANCIENT FORTIFICATIONS in Ir fuch was the appearance of London at the time of the fe- cond invafion of the ifland by Ca@sar, which happened fifty- five years before the Chriftian zra, we have certain evidence, that the fouthern Britons had undergone a remarkable change in their mode of life, and made a great progrefs in refinement and civilization in the fpace of 107 years, which elapfed from that time to the great victory gained over the Romans by their Queen BoapicEa, At this latter period, Tacirus mentions London as a flourifhing town, which, though not dignified with the title of a Roman colony, was a place of trade and opulence, and a great refort for merchants. “ Londinum qui- “ dem cognomento coloniz non infigne, fed copia negotiatorum “ et commeatuum maxime celebre.” Aznal. lib. 14. cap. 33. The Britons of the fouth had, therefore, profited very greatly by a fhort intercourfe with the Romans ; and this progrefs will appear more remarkable when it is confidered, that, from the time of Cmsar’s invafion to the reign of Craupius, during almoft a complete century, there was no Roman army in Bri- tain, nor any ftation or fettlement of that people in the ifland*. The Britons, therefore, had, as yet, enjoyed little more than the fight of a polifhed and improved people. Amidft the tumult of hoftilities, there was no opportunity to imitate the practices or ftudy the accomplifhments of the people by whom they were invaded ; but they faw enough to convince them of their own fignal inferiority in all the arts of cultivated life, and to excite a defire to imitate them in a fubfequent feafon of tranquility. This they obtained by the retreat of the Romans; and profit- ing to the utmoft by thofe lights they had acquired, they made a more rapid advancement to civilization, than perhaps in any after period of their hiftory. Cities were built, harbours con- ftructed * Horsexey’s Britannia Romana, p. 19, 20.3; and Tacirus mentions both the fact and its caufe. ‘* Mox bella civilia et in rempublicam verfa principum arma ac longa - *€ oblivio Britannic etiam in pace.” Vit. Acric. cap. 13. S The HIGHLANDS of SCOTLAND. 25 ftructed for the accommodation of mercantile fleets *, and mo- ney coined for the medium of trade. The coinage of Cuno- BELINE, the fucceflor of Cass1BELANUS, and Sovereign of the Caffii and Trinobantes, from the mints of Colchefter, Verulam and London, is a proof, not only of an extenfive commerce, but of very confiderable advancement in the arts +. In this interval, therefore, between the invafion of C#sAR and the reign of CLAuDIUS, this period of rapid improvement, itis probable the Britons of the fouth firft learned the art of conftructing durable buildings with mortar; though we do not _ find from any claffic author, that, before the reign of Nero, _ the Romans had ereéted any buildings in the ifland which - could ferve as a model of regular architecture. In the fifth : year of the Emperor Nero happened that fignal defeat of the e Romans by the Britifh Queen Boapicka, occafioned princi- _ pally by the revolt, or, as Tacitus terms it, the rebellion of e eee One great caufe of this revolt had been the tionis afpiciebatur ; delectique facerdotes, fpecie religionis, omnes fortunas effundebant.” Tacit. Annal. lib. 14. cap. 3t. a ‘to it as sete laft ftrong hold, and, for two days, defended ] emfelves in it again{t the befieging Britons. ‘ Cetera qui- “ dem impetu direpta aut incenfa funt: Templum in quo mi- ) Vor. II. D “* Tes ' * See an accurate account of the commencement of the commerce of Britain in “of gold, of filver and of brafs; and fome of them are elegant in their fabric and de- vice. 26 ANCIENT FORTIFICATIONS in “ les fe conglobaverat, biduo obfeflum expugnatumque.” bid. cap. 32. Tue Britons, profecuting their fuccefs, attacked, pillaged and fet fire to feveral of the Roman forts and garrifons. Lon- don and Verulam were deftroyed; and, in thefe two places, (a convincing proof of their magnitude and population) the Britons maflacred about 70,000 Roman citizens and their al- lies *. But thefe temporary fuccefles were foon checked by a dreadful defeat of the Britons by Sueronius PAULINUS, in which 80,000 were left dead upon the field of battle. From that time, the Romans advanced into the internal parts of the ifland; and, finding themfelves more feebly refifted, as their power became more known, began now to apply themfelves to the civilization of the rude people whom they had fubdued. Juzius Acricoxa, in the fecond year of his command, as Propretor of Britain, A. D. 79. reduced the inhabitants of North Wales, of Chefhire and of Lancafhire, to abfolute fub- jection, and conquered the ifle of Anglefey. Having fuffi- ciently evinced his power, he tried the effect of alluring the natives to an eafy fubmiflion, by giving them a tafte of the enjoyments of a polifhed people +. Towards this purpofe, the Romans encouraged the Britons to build regular towns, aflifted them in conftructing temples, market-places and commodious dwellings, and taught them even the ufe of the baths and por- ticos, and all the luxuries of the Roman banquets {. To this. precife * Ap feptuaginta millia civium et fociorum iis quz memoravi locis, cecidiffe confti- tit. Tacit. dnnal. lib.14. cap. 33- + Uni fatis terruerat parcendo rurfus irritamenta pacis oftentare. Jur. Acric. Vit. Cap. 20. t Szquens hiems faluberrimis confiliis abfumpta. Namque ut homines difperfi ac rudes, eoque bello faciles, quieti et otio per voluptates afluefcerent, hortari privatim, ad- juvare publice, ut templa, fora, domos extruerent, laudando promptos, aut caftigando fegnes—paullatimque difceflum ad delinimenta vitiorum, porticus et balnea et convivio- rum elegantiam. Jur. Acric. Vit. cap. 21. The HIGHLANDS of SCOTLAND. 27 precife period, we may refer the foundation of many of the _ towns inthe weft of England, which are known to have had a Roman origin, as Lancafter, Manchefter, Warrington, Ribche- fter, Overborough, Colne, tc. *. Ar this time, therefore, A.D. 79, the Britons of the north- weftern parts of England, had acquired a confiderable know- ledge of regular architecture. But all to the north of the Ro- man conquefts, we muft prefume was in its original ftate of barbarifm. Improvement, however, muft have kept pace with the advances of the Romans into the country ; and it is there- fore not difficult to mark its progrefs. In the year 80, we find AcricoLta employed in erecting a chain of forts between the friths of Clyde and Forth; and in 83 f+, the laft year of his command, he had penetrated to the foot of the Grampian _ mountains in the northern parts of Angus. From this time, _ during the remainder of the reign of Domitran, and through _ the whole of the reigns of Nerva and of Trajan, a period _ of above thirty years, the Romans made no progrefs in the q ifland. The northern parts of the province were ill defended, and the Caledonians, in that interval, recovered all that part of _ Scotland which Acricota had gained ; for, in the fecond year _ of Haprian, A. D. 120, when that Emperor built his va//um acrofs the ifland, between Solway frith and the mouth of the _ Tyne, he confidered the Roman Province as extending no fur- ther to the north than that rampart. “ Murum per o¢toginta 4 millia paffuum primus duxit qui barbaros Romanofque divi- _ “ deret.” Vit. Hadr. Hift. Aug. Script. _ Tuts interval, therefore, of more than thirty years, muft have been a period of remarkable improvement to the favage _ Caledonians. Maintaining a conftant intercourfe with the Ro- ‘mans, not diftinguifhed by extraordinary hoftilities, and gradu- a D2 ally “cs * Warraxer’s Manchefter, book I. chap. 7. + Or 84; for the year is not certain. See Horstey, p. 48. 28 ANCIENT FORTIFICATIONS in ally regaining a country in which they found the recent works of a polilhed people, they could not fail to acquire much know- ledge in the arts. At the time, therefore, when ADRIAN built his rampart, A. D. 120, we know, almoft to a certainty, that the inhabitants of Scotland, as far to the north as the Grampi- an mountains, underftood and pra¢tifed the art of conftru@ting durable buildings with mortar. The forts or cafella erected by Acricota, which Tacirus* fays were fo ftrongly con- {tructed as to refilt the utmoft efforts of the enemy to take them by ftorm, were now in the pofleflion of the Caledonians. The Roman cattella were circular, and fometimes {quare, inclo- fures, furrounded with a ftrong wall of ftone, hewn into {quare blocks, and cemented with mortar. The fpace inclofed was fuflicient to contain various buildings likewife of ftone, barracks for the winter habitation of the troops, granaries for provifions, and fometimes baths. The form of thefe caftella may be feen in the fculptures upon the Trajan column, and their conftruction may be learnt from VecerTiuvs. The re- mains of a bath belonging to one of thefe caftella, probably erected by Acricota, were difcovered, within thefe few years,. at the village of Dalnoter, between Glafgow and Dumbarton. The Caledonians had witneffed the building of thofe ftruétures, which were reared with the moft perfec fkill in military archi- teCture, from materials which the country furnifhed in abun- dance. They were now in poffefion of the ftructures them- felves. It is reafonable, therefore, to conclude, that they now learnt the art of conftructing regular buildings with ftone and mortar, and practifed it, both for the purpofes of defence and habitation ; becaufe the contrary fuppofition would. do violence to all probability. TueE wall of ApRIAN, which was built in 120, and that of ANTONINUS Pius, built, as Horstey thinks, in 140, were both * Vit. AcRIc. cap. 22. -* apes The HIGHLANDS of SCOTLAND. 29 both conftructed folely of turf *. But they were defended by caftella, placed at intervals of various diftance, according to the nature of the ground. The wall of ANTONINUs ran acrofs from Dumbarton on Clyde to Cramond on the frith of Forth, and was probably in the precife line of the caftella built by Acricota. It was at this period, and under the command of Lotuius Urnsicus, the heutenant of ANTontINus, that the Romans made their fartheft advances into the ifland of Britain. After the ereétion of this new vallum, which had probably been reared in the idea, that the country to the north of it was hardly worth fecuring, Ursicus marched to the northward, and finding, beyond his expectation, that the country, efpeci- ally along the fea-coaft, was open and fertile, he appears to have profecuted his conquefts as far north as Invernefs. For this fact, we want indeed the authority of any Roman hiftorian ; but the Geography of Protemy, and the late difcovered iti- nerary of RicHarD of Cirencefter, prove, beyond all doubt, that there were Roman ftations in the neighbourhood of Inver- nefs ; and there is no other Roman general, but Ursicus, who, to the days of ProLEemy, can be fuppofed to have paffed the limits of AcricoLa’s conquefts t. The moft northerly Roman ftation, according to ProLEMYy, is the rregwrov sgaromsdov, or caftra alata, which, in the itinerary of RICHARD, is termed Ptorotone. This, I think, there is every reafon to believe to have been that fortified promontory, now called the Burgh of Moray}. At any * Juriws Caprrotinus, in his life of Antoninus Pivs, mentions, that this Emperor excluded the barbarians from the Province, ‘‘ a#o muro cefpitio,’”’ which proves that the former, vz. that of Aprian, was of the fame materials. + Warraxer’s Hiftory of Manchefter, book L chap. 3. § 5. } Irs fhape correfponds entirely to the name of an encampment with wings. Such is the aétual form of the promontory ; and although both Sruxexey. and Horstey place the ftation of Ptorotone at Invernefs itfelf, it will be obferved, this is nothing more than conjecture. The itinerary of Ricwarp gives no authority for that precife fituation; for 30 ANCIENT FORTIFICATIONS in any rate, it is certain there were feveral Roman ftations in that neighbourhood, as Tueflis, Varis and Ptorotone, which is fuffi- cient for our purpofe. It is then evident, that, in the reign of ANTONINUs Pius, and within a few years of A. D. 140, the date of his vallum, the Romans had fixed prefidia and built caftella in the neighbourhood of Invernefs, from which part of Scotland, there was an uninterrupted military road, as appears by RicHARp’s itinerary, to the Land’s end in Cornwall. At this period, therefore, the inhabitants of this region of Scotland muft have been acquainted, from the practice of the Romans, with the art of building with mortar. And, as the ftructure of thofe hill-fortifications demonftrates the ignorance of the builders of the ufe of that cement, the moft complete evidence thence arifes, that they were reared prior to the time above mentioned, that is, above fixteen centuries and a half ago. But how far beyond that period we are to fearch for the date of thofe fingular fortifications, {till remains in doubt. All that we can, with certainty, conclude, is, that they belong to a period of extreme barbarifm. They muft have been con- {tructed by a people fcarcely removed from the ftate of favages, who lived under no impreffion of fixed or regulated property in land, whofe only appropriated goods were their cattle, and whofe fole fecurity, in a life of conftant depredation, was the retreat to the fummits of thofe hills of difficult accefs, which they had fortified in the beft manner they could. As the {pace inclofed was incapable of containing a great number of men, efpecially if occupied in part by cattle, it is prefumable, that thefe retreats were formed chiefly for the fecurity of the wo- men for the diftance in miles between Ptorotone, and the preceding ftation Tueflis, is left blank in the itinerary, and the a¢tual fituation of Tueflis is likewife uncertain, Horsey fixing it at Nairn, and Sruxexey at Ruthven on the Spey. All that is certainly known from Ricnarp’s itinerary, is, that Ptorotone was the third Roman ftation beyond the Grampian moyntains.——Since writing the above, it was a fatisfaCtion to me to find, that General Roy, in his elegant map of Roman North Britain, has actually placed Proroton, or Ptorotone, at the burgh-head of Moray. The HIGHLANDS of SGOTLAND. 31 ie men and children of the canton, and of their herds. They could be defended by a few men, while the reft of the tribe __ were engaged with their enemies in the field. _____In the defcription I have given of the fortified hill of Dun- __ Jardel upon Loch-Nefs, I mentioned a Druidical circle upon the fhoulder of the hill about fifty or fixty feet below the fortification ; _ and hinted, that this circumftance might poffibly afford ground _ for a conjecture with regard to the date of thofe extraordinary _ ftructures on the tops of hills. Tue religion of the Druids obtained in Britain long before the period of the Roman invafion ; and it was probably intro- duced into the ifland by the firft colony of Celt or Gauls who landed from the continent*. If, as is generally fuppofed, this ifland was actually peopled from Gaul, Druidifm mutt have been _ the religion of its firft inhabitants. I am difpofed, however, _ to believe, that this ifland was inhabited of old by a race of men who knew nothing of the religion of the Druids, whofe _ manners and mode of life were too barbarous to be compatible _ with that fyftem, and who, in after times, adopted from thofe _ Druids their firft ideas of civilization and improvement. The _ Druids, it is well known, were a very enlightened order of men ; __and they had the addrefs to avail themfelves of that charaGter \ of wifdom and learning, in obtaining an abfolute controul, not only in matters of religion, but in the civil government of the countries in which they were eftablifhed. They cultivated the mechanic arts, and even the fciences of Medicine, Aftronomy _ and Geometry, with confiderable fuccefs. In fhort, no nation, _ among whom that fyftem had become prevalent, could long re- main i in a ftate of barbarifm. But, from all the ideas we can form. + + Tats idea is not contradicted by the fact, of which we are aflured by Casar, wiz.. ‘That the Druids of Gaul were fent over for inftruGtion to Britain. This fact proves - only, that the Britifh Druids, in the folitude of the diftant ifland of Mona, had made: _ farther advances in the fciences at that time, than their brethren on the continent. Cz#- sar indeed thence conjeétures, that the Druidical fyftem had been invented in Britain ;: but this conje¢ture has no other bafis than the fact above mentioned. 32 ANCIENT FORTIFICATIONS, &e. form of the ftate of Caledonia, at the time when it was necefla- ry to rear thofe hill-fortifications, there appears no probability that the inhabitants either lived under fuch a government as we know to have prevailed under the influence of the Druids, or had any acquaintance with thofe arts which it is certain they cultivated. Thofe buildings muft, therefore, have been erected previoufly to the introduction of the Druidical fyftem ; that is to fay, in a period of time antecedent to the firft vifita- tion of this ifland by the Celte of Gaul. Tue Druidical circle upon Dun-Jardel lends its aid in fup- port of this conjeture. If the fortification on the fummit had been erected after the abolition of Druidifm, it feems extremely improbable, that the builders of it would have neglected to employ the ftones of this circle in rearing their fortification, (ftones extremely well fuited to the purpofe, and quite at hand) when they have been at immenfe pains to carry up a prodigious quantity of {tones from the very bottom of the hill for that work. It is not probable that they would have been reftrained by any fuperftitious idea of reverence for the monuments of an extinguifhed religion. For Druidifm, foon after its abolition, funk into utter contempt, and the introduction of Chriftianity rendered the ancient fuperftitions impious and deteftable. That this hill-fortification was ere¢ted in the times of the Druids, I have already {hewn to be extremely improbable. We mutt, there- fore, recur to the only remaining, and the moft natural fuppo- fition, that it was reared in times antecedent to the introduc- tion of that religion. And this fuppofition carries the date of this ftructure, and confequently of all the reft of the fame na- ture, up to a period of antiquity far beyond all. hiftorical re- cord, and connects them with a {tate of fociety in which the arts were as imperfect, the manners as barbarous, and the con- dition of life as lawlefs, turbulent and precarious, as among the rudeft tribes of American favages. IT. iy MAS iN = tt sos i= YY My / fd i "a4 tai tyeerd epee : We Hi. Jah ike bhi rites rus a mont be! 4 Peet Abe he “Wy i) A MAG HD ! i bya) 4 \ Aes SN x Ys WR \ \ Nl et { “2 iy ce Pay Rog als , + A Mas ee 994) aah EMA cs. ae) 4 5! ~~ 3 iY oe eT Il. REMARKS on fome Paffages of the fixth Book of the ENEID. By FAMES BEATTIE, LL.D. F.R.S. Eoin. and Pro- Seffor of Logic and Moral Philofophy in the Marifchal College, Aberdeen. [Read by Mr DALZEL, Secretary, March 19. 1787. HE poetical beauties of Vireit’s fixth book are great and many; and a moft agreeable tafk it would be to point them out: but that is not my prefent purpofe. Nor dol intend to draw a comparifon of the fentiments of our poet with thofe of Homer, concerning a future ftate. From Ho- MER, no doubt, Virert received the firft hint of this epifode ; but the evocation of the ghofts, in the eleventh book of the Odyffey, is not in any degree fo ftriking, or fo poetical, as EnezAs’s defcent into the world of fpirits. Nor does the for- mer exhibit any diftiné idea of retribution. In it all is dark and uncomfortable. ‘‘ I would rather, fays the ghoft of “ AcuiLuEs, be the flave of a poor peafant among the living, “than reign fole monarch of the dead:” a paflage blamed, not without reafon, by PLATO, as unfriendly to virtue, and ‘ ole tending to debafe the foul by an unmanly fear of death. My defign is, to give as plain an account as I can of the theology (if I may be allowed to call it fo) of this part of Vir- GIL’s poem. And I shall make the poet his own interpreter, without trufting to commentators, or feeking unneceflary illu- ftrations from PLatTo, to whom VirRciL, though he differs from him in many particulars, was indebted for the outlines of Voz. Il. E the 34 REMARKS on fome Paffages of the fy{tem, and who probably owed them to philofophers of the Pythagorean f{chool. Tue learned Bifhop WarBurton has commented on this part of the Eneid. Many of his obfervations are pertinent, but fome are fanciful ; and in more places than one he feems to have mifunderftood the author. His general pofition is, That what the poet fays of Elyfium and the infernal regions, we are to underftand as nothing more than a figurative account of the © myfteries exhibited in the temple of Cerzs at Eleufis ; and that the poet meant in this way to tell us, that Enzas had, like fome other heroes and lawgivers of old, been initiated into thofe myfteries. This theory he fupports very ingenioufly, but not, I believe, to the fatisfaction of many readers. I admit there are allegories in the book, as I fhall have occafion to fhow ; but that the whole is an allegory, or rather an allegorical repre- fentation of the Eleufinian allegories, I can no more fuppofe, than that the arrival at Carthage is an allegory, or the vifit to EvANDER, or the combat with Turnus, or any other of our hero’s achievements. | confider this epifode as truly epic, and as a part, though not a neceflary part, of the poet’s fable; and that he contrived it, firft, that he might embellifh his work with a poetical account of a future ftate, and fecondly, and chiefly, that he might thence take an opportunity to introduce a compliment to his country, by celebrating the virtues of fome of the great men it had produced. As thefe great men did not flourith till after the death of EnzaAs, there were but two ways. in which the poet could make him acquainted with them. One was, by caufing fome prieft or foothfayer to prophecy con- cerning them ; and the other, by fo availing himfelf of the doc- trines of pre-exiftence and tranfmigration, then taught in fome of the fchools, as to exhibit in their pre-exiftent ftate, fuch of the hero’s pofterity as there might be occafion for. He chofe the latter method ; and has fo managed it, that we muft acknow- ledge the choice to have been judicious. As The fixth Book of the EN EID. 35 As the chief thing I have in view is, to illuftrate the moral and theological fentiments of my author, I need not take up much time, either in vindicating, or in apologizing for, his ge- neral fiction ; I mean, his laying the fcenery of a future ftate in the fubterranean regions.. That on the coaft of Italy, in the neighbourhood of Cumz, there fhould be a paffage under ground, leading to the rivers Acheron, Cocytus and Styx, and thence to Tartarus on the left hand, and Elyfium on the right ; that in this Elyfium, though thus fituated, there fhould be a fun and ftars, and grafly plains, and delightful groves and ri- vers, and two gates, the one of ivory, the other of horn, open- ing into the upper world, at no great diftance from the Cumz above mentioned ; and that in the fubterranean fpaces thus bounded, there fhould be different forts of accommodation for - all the fhades or fouls of the dead:—thefe, I fay, are fables, which, as they cannot, according to our way of judging, be reconciled to probability, or even to poflibility, we muft endea- vour to acquiefce in the beft way wecan. So, in reading Ovip’s ftory of Phaeton, if we would enter into the poet’s views, and be fuitably affected with his narrative, we muft fuppofe, what we know to be abfolutely impoffible, that the fun is driven about the world in a chariot, which, though made of gold and filver, and dragged by real horfes, and fupported by nothing but air, yet paffes along in a beaten highway, where the marks of the wheels are clearly difcernible. Fables of this fort, however inconfiftent with the laws of nature, when rendered by the art of the poet confiftent with themfelves, it is not our in- tereft to criticize too minutely ; efpecially if, like that now un- der confideration, they abound in fublime defcription and in- ftructive leffons of morality. The fable then let us acquiefce ~ in for a moment. Our dreams, while they laft, we believe without inconvenience ; and the fcenery of this fable will not _ be more lafting than that of a dream. at E 2 As 36 REMARKS on fome Pafages of As a fort of apology for the wildnefs of fome parts of this fable, it may be remarked, that formerly at Cumz, near which the Trojan fleet was now ftationed, there lived a prophetefs. called the Cumean Sybil ; that in her neighbourhood, encom= paffed with thick woods, there was a lake called Avernus, which emitted peftilential fteams; that in the fame parts of Italy there are many dreadful caverns, one of which is to this day called the Sybil’s Grotto; and that for thofe who knew nothing of the real fize of the earth, or the final deftination of man, it was not altogether abfurd to imagine, as all dead bo- dies return to the earth, that the fubterranean regions might be the manfions of the ghofts or fhades of human beings de- parted. Tue neceflary facrifices being performed, and Engas ha+ ving found in the woods that golden bough which, being in- tended as a prefent to PROSERPINE, was to ferve him as a pafl- port through her dominions; the Sybil or prieftefs plunged into: the cavern, calling to him to follow her, with his {word drawn in his hand. They went a great way through a lonely region, where there was no more light than one travelling in a wood receives in a cloudy night from the moon. At length they ar- rived at the entrance of the infernal world, where a number of terrible beings refided; Difeafe, Old Age, Fear, Famine, Poverty, and Death, and Labour, and War, and Difcord ; and fuch mon- ftrous things as centaurs, gorgons, harpies and giants, one with three heads, and another with a hundred hands, and the chi- mera breathing fire, and the many-headed ferpent of Lerna roaring hideoufly. By placing thefe at the entrance, the poet perhaps intended to fignify, in the way of allegory, the horrors » that accompany the near approach of death; or perhaps thofe many evils, real and imaginary, which we muft all pafs through in our way to the other world. From this place to the river Styx was a region, in which the ghofts of thofe, whofe bodies had not been honoured with the : rites The jfixth Book of the ENEITD. 37 rites of fepulture, were obliged to wander in a melancholy con- dition for the {pace of an hundred years, before they could be permitted to pafs the river, or appear before any of the in- fernal judges. Here ENEAs met with his old pilot PALINURUS, who, in their laft voyage, having fallen overboard in the night, and fwam to the main land of Italy, was there murdered by the natives, who did not give themfelves the trouble to bury him, but threw his body into the fea. He begged ENEAS to take him under his protection, and procure him a paflage over the Styx. “ It cannot be, faid the Sybil; you muft have pa- “tience. In the place where you were murdered, there will “ foon be prodigies, which will induce the natives to perform “ your funeral rites, and call a promontory after your name ; “and then you may pafs the river, but not before.” Pati- NuRus acquiefced ; well pleafed to hear that fuch honours awaited him. ; To inculcate this doctrine, that the foul would fuffer for fome time in another world, if the body were not decently bu- ried in this, and that the negle& of the funeral ceremonies is’ offenfive to fuperior beings, was a very warrantable fraud ‘in the lawgivers of Greece and Egypt; as it would no doubt make’ the people attentive to a duty, whereof we find that favage na- tions are too apt to be forgetful. Our two adventurers were now approaching the river, when Charon the ferryman, alarmed at the fight of a living man in complete armour, called to the Trojan to ftop, and give an account of himfelf. The Sybil pacified Charon, by declaring the name and quality of her fellow-traveller, and fhowing the golden bough. ‘They were then ferried over; and the three- headed. dog Cerberus, preparing to attack them, was quieted: with a cake which the prieftefs had’ got ready for him, and which. he had no fooner {wallowed than he fell fait afleep. Wuat could have given rife to this fable of Charon and his- boat, it is not very material to enquire. Mythological writers: have: 38 REMARKS on fume Paffages of have faid, That the Greeks learned it from the Egyptians, which is indeed probable enough; that the Egyptians framed both this, and fome other fables relating to the dead, from certain cuftoms peculiar to their country ; that in particular there was, not far from Memphis, a famous burying-place, to which the dead bodies were conveyed in a boat acrofs the lake Acherufia ; and that Charon was a boatman who had long officiated in that fervice. The learned Dr BLackweE tt fays, in his life of Ho- MER, that, in the old Egyptian language, Charoni fignified fer- ryman. Tue travellers had now before them a region which the poet calls /ugentes campi, extending from the other fide of the Styx to the road that leads to Elyfium on the right hand, and that which terminates in Tartarus on the-left. Thefe melancholy plains muft not be confounded with Tartarus. The latter is a place of eternal torment, prepared for thofe who, in this world, had been guilty of great crimes; for there, fays the poet, “ Se- “« det, gternumque fedebit infelix Thefeus.” The former, though an uncomfortable region, is not a place of endlefs pu- nifhment, but a fort of purgatory, in which all thofe fouls that are not configned to Tartarus, are doomed to undergo certain purifying pains, to prepare them for Elyfium. Thefe pains are more or lefs fevere, and of longer or fhorter duration, according to the degree of guilt committed in the upper world. The fouls, on paffing the Styx, appear before the judge Minos, who fummons a council, either of ghofts or of infernal deities, but whether as a jury, or as witnefles, we know not ; and _ ha- ving informed himfelf of the lives and characters of thofe who are brought before him, allots to each a fuitable manfion in this purgatory. Tue fouls thus difpofed of, are—fr/, thofe of good men, who, after undergoing the neceflary pains of purification, pafs into Elyfium, where they remain in a {tate of happinefs for ever 3 2dly, of thofe who have been of little or no ufe to man- kind ; i - 4 ie 7 ! ¥ cept by witches *, paid them, though to mother Midnight, whofe The fixth Book of the ENEIJD. 39 kind ; 3dly, of thofe who have been cut off by an untimely death, fo that their real characters could not be exactly afcer- tained ; 4thly, of thofe who, though guilty of crimes, had not committed any thing very atrocious ; and, /a/ly, of thofe whofe *crimes, though atrocious, were confidered as the effe¢ts, rather of an unhappy deftiny, than of wilful depravation. _ Tuart the fouls of good men, who were to have an eternal abode in Elyfium, were previoufly obliged to undergo purgation by fuffering, is not exprefsly declared, but may be inferred from what Ancuises fays, “ Quifque fuos patimur manes ;” ** every one of ws undergoes what is inflicted on him by his manes ;” that is, by thofe deities of the nether world who were the difpenfers of expiatory punifhment. This is the ori- ginal, or at leaft the moft ufual fenfe of the word manes, which, however, fometimes denotes metonymically the infernal regions 6c in general, and fometimes, but more rarely, the fouls or fhades who inhabited thofe regions. In Tartarus, it does not appear that the Manes had any thing todo. The difpenfers of punifh- ment in that dreadful place were Tifiphone and her fifter-furies. The Manes mutt have been a gentler fort of beings. Some derive the word from manus or manis, which they fay (on what autho- _ rity I know not) is an old adjective fignifying good. The invo- _ cations of the Manes practifed at funerals, the altars that were erected to them, and thofe monumental infcriptions which be- gan with the words Dis Manibus, were all, no doubt, intended as acts of worfhip, or as compliments, to thefe deities, and fuppofed to incline them to mercy in their treatment of the per- fons deceafed, whofe fouls.were now in their hands in purga- tory. Horace tells us, that the Manes, as well as the gods above, might be rendered placable by fong—* Carmine di fuperi “ placantur,carmine manes.” But the furies were inexorable and mercilefs—‘‘ Nefciaque humanis precibus manfuefcere corda.” _ And I do not find that worthip, or any other honours, were, ex- daughters: * Hor, Sat. I. 8. ¥ 33,° a 40 REMARKS on fome Paffages of daughters they were, facrifice was occafionally performed. Ovip fays indeed, that they relented on hearing the fong of Orpheus, but affures us it was for the firft time. Viren, in his account of that affair, fays only, that they were aftonifhed. Here I cannot but remark how abfurd it is for us to begin an epitaph with the words Dis Manibus, or the letters D. M. which oftener than once I have feen on a modern tombftone. Such an exordium may be claflical ; but, in a Chriftian church- yard, an invocation to Proferpine would not be more incongru- ous. Apprison did well, when he advifed the writers of his time not to facrifice their catechifm to their poetry. I sarp, that the Manes feem to have had nothing to do in Tartarus. I am not ignorant, however, that Rueus and the common Dictionaries affirm, that the word fometimes denotes the furies, and quote as an authority, “ Ignofcenda quidem, * {cirent fi ignofcere manes.” But this is not fufficient autho- rity. That verfe of Vircit relates to Orpheus looking behind him, when condudting his wife to the upper world ; a fault, or infatuation, which was to be punifhed, not by the fcourge of the furies, but by calling back Eurydice to the fhades below ; and which the Manes, however placable, could not pardon, becaufe it was a direct violation of. the treaty with Profer- pine. Ir is fomewhat difficult to underftand diftin@ly what the ancients meant by the words anime, umbre, fimulacra, which, in this difcourfe, I call ghofts, /bades or fouls. We know, that man confifts of a body and a foul, a material and an incorpo- real part ; the one, like all other bodies, inative, the other the _ fource of life, motion and intelligence. But, on comparing the general do@trine of this fixth book with a paflage in the fourth Georgic, and with the eleventh of the Odyfley, we find, that our poet, following in part the opinions of PyTHAGORAS and PLaro, and partly too the reprefentations of Homer, fup- pofed man to confift of three fubftances ; /irf, a vital and ac- tive The fixth Book of the ENETJD. 41 tive principle, derived either from the Deity himfelf, or from that univerfal fpirit whom he created in the beginning, who ‘animates all nature, and of whom the vital principle of brutes is alfo, according to VIRGIL, an emanation; 2d/y, a fhade or ghoft, umbra, anima, fimulacrum, or adwrov, as HomeER calls it; - and 3d/y, abody. At death, the vital principle was re-united to that univerfal fpirit whereof it was originally a part; the body was burned or buried, and returned to the earth whence it came ; and the fhade or ghoft went to the nether world, and appeared before Minos or Rhadamanthus, who affigned it fuch a manfion of happinefs, of torment, or of expiatory fuffering, as the perfon’s behaviour on earth had merited, or his circumftances with refpect to pollution or purity required. Thefe fhades or ghofts were fo far corporeal as to be vifible, but could not be touched ; they retained the fame appearance their bodies had before death; they had reafon and fpeech and confcioufnefs, and a remembrance of their paft lives; they could be happy or unhappy ; retained all the paffions and affeCtions of humanity ; and.were capable (fuch of them at leaft as had not been atro- ‘cious criminals) of being purified from the pollutions of guilt by the operation of air, fire and water. TuaT part of the /ugentes campi which ENEAs firft paffed through, after crofling the Styx, was peopled by the fhades of infants, of perfons who had fuffered death by a falfe accufation, -and of thofe who had taken away their own lives. Thefe are all placed in the fame neighbourhood, probably becaufe, ha- ving been cut off, as we fay, before their time, they had not had the means, while on earth, of difplaying their character in its full extent. This, however, is but conjecture ; for the poet only mentions the circumftance, without afligning a reafon. The felf-murderers, who occupy this diftrict, are termed in/cntes, innocent or harmlefs ; an epithet which the commentators do -not underftand, or at leaft do not fee the propriety of in this place. Wrreiz, we are fure, did not mean to infinuate, that Vou. II. F felf- 42 REMARKS on fome Paffages of felf-deftroyers in general are guilty of no fault; for he places even thefe in/ontes, who in refpect of others were comparatively innocent, in an uncomfortable fituation, and fays, that they would now return to the earth if they could, and willingly fubmit to poverty, and thofe other evils, which when alive they thought infupportable. By the word in/fontes, therefore, as here applied, I underftand fuch unhappy perfons as had deftroyed themfelves, without being chargeable with any other great wickednefs. Had they been guilty of impiety, injuftice, want of natural affection, or any grofs immorality, they would, ac- cording to our author’s plan of retribution, have been configned to everlafting punifhment in Tartarus. But as we find them in a {tate of expiatory fuffering, and characterifed by this epithet, we mutt, I think, fuppofe, that the poet here fpeaks of that felf-deftru€tion, which, being partly the effect of infirmity, was, in his judgment, the object of pity as well as of difap- probation. Tue Trojan and his guide were now arrived at that part of the melancholy plains, where the country, if I may call it fo, feemed to open into a wider extent. Here was a diftrict, where, in a myrtle grove, were wandering the fhades of un- happy lovers. Here ENEAs met with Dipo, who had rejoined her hufband S1cueus ; and here he faw feveral others, fome of whom, by the by, had led fuch lives on earth as would feem to deferve a feverer doom than that of Vircit’s purgatory. ADJOINING to the grove of lovers, and at the furtheft ex- tremity of thefe regions, was a province inhabited by deceafed warriors. Here he found feveral of his old acquaintance, who were glad to fee him, and converfe and walk with him, and curious to know the occafion of his coming. The Grecian ghofts knew him likewife, and fled from before him, as they had been accuftomed to do in the Trojan war. Here he faw the fhade of his brother-in-law Dr1pHosus, in the fame mangled condition in which his body had been left by the Greeks in the night gee tp me The fixth Book of th ENETD. 43 night of the burning of Troy. A long converfation enfued between the two friends, which was at laft interrupted by the prieftefs, who told Eng As that he had no further time to lofe. _ Be not angry, faid DerpHosus ; I fhall go away, return to my darknefs, and there complete my term of penance. Difcedam, explebo numerum, reddarque tenebris. The words explebo numerum are varioufly interpreted ; but the fenfe is probably what is here given. Rueus is inclined to ex- plain it thus, “ Be not angry, great prieftefs, I fhall juft wind up the laft period of my difcourfe, and then return to my * darknefs ;” as if the poor mangled ghoft of DrrpHosus had been ambitious to diftinguith itfelf at this time as a rhetorician, and well {killed in the art of rounding a period. Dryben un- derftands the paflage as I do. Servius hints at the fame in- terpretation, but feems to prefer another. THE two travellers having paffed through the melancholy plains, were now come to a place, where one road went off to the left, and another to the right ; the former leading to Tar- tarus, the latter to Elyfium. They were going to Elyfium ona vifit to ANcHISsES: but before they ftruck off to the right, the prieftefs took this opportunity to defcribe Tartarus, the gates of which were in view, but which ENEAs could not enter, as they were never opened but for the reception of thofe wicked fouls, whom the judge Rhadamanthus, after making them confefs the crimes they had committed in the upper world, thought proper to condemn to eternal punifhment. When this dreadful fen- tence was paffed, they were feized on by Tifiphone and the other furies, the adamantine gates opened with a tremendous found, and the criminals were thrown into an immenfe dungeon, ftretching downwards twice as far as from hell to heaven. F 2 THE 44 REMARKS on fome Paffages of Tue defcription of Tartarus is wrought up in a ftyle of ter- rible fublimity, fuch as never was equalled by any other poet, except by Mitton, in the firft and fecond books of Paradife Loft. In the intrinfic grandeur of his images, the Englifh poet may be thought to have excelled the Roman; but in one re- {pect the Roman has the advantage. By means of a more mu- fical language, he has been enabled to embellifh his narration with a fonorous magnificence of harmony, whereof the Englifh tongue, even when modulated by. Mitton, is not fufceptible. Tue mouth of the Tartarean gulf was encircled with three walls fo ftrong, as to be proof againft every affault of men or gods ; and thefe walls were furrounded by Phlegethon, a river of tempeftuous flame. Sleeplefs, before the gate, day and night, and full in EneAs’s view, fat the fury Tifiphone in bloody attire. From within iffued fuch an uproar of terrifying noifes, that the hero, though at a diftance, heard it with hor- ror; the cries of the tormented, the found of the fcourge, the crafh of iron engines, and the clanking of chains dragged along. Tell me, faid he, O virgin, what clamours, what pu- nifhments, are thofe ; and for what crimes they are inflicted. This gives the prieftefs occafion to defcribe what was pafling in the regions of torment ; with which Hecate had made her ac- quainted, when fhe gave her the fuperintendence of the groves of Avernus. The perfons there punifhed had all perpetrated enormous crimes ; among which are reckoned, acts of impiety, want of natural affection, cruel treatment of parents, the de- frauding of clients or dependants, and the hoarding up of wealth to the injury of friends and relations. Here too adul- tery is punifhed, even though the criminal fhould have ali eady fuffered death for it in the upper world. Other crimes here pu- nifhed are, rebellion, inceft, the various forts of injuftice and treachery, the venality of lawgivers, fubverfion of the liberties of our country, facrificing the public good to private intereft, and » The fixth Book of th ENETD. 45 and many other forms of wickednefs, whereof the Sybil de- clares it was impoflible for her to give a particular enumeration. Tue punifhments are various. Of one enormous offender, the entrails are continually devoured by a vulture, and conti- nually growing to be again devoured ; an apt emblem to ex- prefs the pangs of a guilty confcience, and which puts one in mind of the never-dying worm mentioned in Scripture. Some are in the eternal apprehenfion of being crufhed by a black rock, which hangs over them, and feems to be every moment beginning to fall. Some are perpetually employed in rolling a huge mafs of ftone; fome are ftretched out on a whirling wheel; and fome, agonifing with eternal hunger, have a fump- tuous banquet fet before them, which they no fooner attempt to touch, than a gigantic fury ftarts up, brandifhing a torch,. _ and denouncing vengeance in a voice of thunder. THERE is nothing in ViR6eIL more explicit than the account of Tartarus; and I know not why it has been fo generally mif- underftood. Dr WarsBurTON fays, in one place, that ENgEas faw the fights of Tartarus at a diftance, and, in another, that EngAs paffed through Tartarus. In fact, he did neither. He could not pafs through without entering ; and this, we are told, ___ was to him impoflible: “ Nulli fas cafto fceleratum infiftere “ limen.” And though he had been permitted: to enter, he could not pafs through, without firft crofling a river of fire, and then defcending into an immenfe gulph, twice as deep be- neath the level of the other regions of darknefs, as thofe are remote from heaven. It was equally impoflible for him to fee _ from a diftance what was doing in fuch a gulph, even though the gate that led to it had been open, which, however, at this time, happened to be fhut. ‘‘ You fee, faid the Sybil, what a “ centinel. fits without in the porch, (meaning Tifiphone) ; * another, {till more dreadful, has her ftation within ;” which, as he could not fee it, fhe informs him is a huge ferpent, or er = = ect) hydra, with fifty heads. Amn opening of the gate is indeed: *mentioned,, 46 REMARKS on fome Paffages of mentioned, which Rueus underftands to have taken place at the very time when the Trojan and the Sybil were looking at it. But that is a miftake. The Sybil only tells her compa- nion, that, when Rhadamanthus has made the criminals con- fefs their guilt, then at length (¢vm demum) the gate opens for their reception into the place of torment. It is ftrange that Rueus and Dr WarBurTon did not fee that this is the obvious import of the words of VirciL ; and that, if we do not under- ftand them in this fenfe, the paflage muft appear confufed, if not ungrammatical. In a word ; of the infide of Tartarus the Trojan hero faw nothing ; he faw the outfide only, the walls, the gates, the tower of iron, &c. and thefe he faw at fome di- ftance. What was paffing within he learns from the Sybil’s information. “ AnD now, fays fhe, let us be going. Yonder, on the right hand, is the palace of Proferpine, where, in the vaulted ** porch that fronts us, we are commanded to depofit the golden “ bough.” This ceremony ENEAs performs, after having fprinkled himfelf with pure water ; which was cuftomary with thofe who made offerings to the gods. TueEy then went onward to Elyfium, the gay fcenery of which, immediately fucceeding the gloom of purgatory and the horrors of Tartarus, is fo charming, that every reader feels himfelf refrefhed by it. Here were groves, and plains, and meadows, clothed with perpetual verdure, the abodes of tran- — quillity and joy, and illuminated by a fun and ftars of the moft refulgent beauty. Here were feafting, and dancing, and mufic, and poets accompanying their verfes with the harmony of the lyre. Here thofe warlike exercifes were renewed, in which the heroes while on earth had fo much delighted; and here were horfes, and chariots, and arms, and every thing that could gratify an heroic mind. It muft be owned, that all this is very inadequate to the defires and the capacity of an immortal foul : ce The fixth Book of the ENEID. 47 foul: but Virert had heard of nothing better; and it was impoflible for him to defcribe what he could not conceive. In this Elyfium, which, with all its imperfection, is, as well as the infernal world, founded on the beft ideas of retributive _ juftice that could-be expected from a pagan, the poet places, in a ftate of endlefs felicity, ‘‘ the fhades of the pure and the pious; of heroes who have died in defence of their country ; of ingenious men who have employed their talents in adorn- ing human life with elegant arts, or in recommending piety and virtue; and of all who, by adts of beneficence, have merited the love and the gratitude of their fellow-creatures.’” To a company of thefe happy beings, who had flocked round the two ftrangers, and efpecially to the poet Muszeus, whom fhe knew, the Sybil addreffed herfelf, defiring to be informed where Ancuises refided. We have no certain habitations, re- turned the poet; we wander about, and amufe ourfelves, wherever we pleafe ; but follow me to yonder rifing ground, and I fhall put you in a path that will conduct you to him. Some writers blame Vircit for not making EneEas find Homer in this part of Elyfium ; and infinuate, that the Roman poet muft have been both invidious and ungrateful, in ne- gleGting fuch an opportunity of doing honour to his great ma- fter, to whom he owed fo much. Thofe critics do not confider that ENEAs was dead an hundred years before HoMER was born. Our poet has been cenfured for a /uppo/ed anachronifm, in making ENeas and Dipo contemporary; and here he is found fault with for having judicioufly avoided a rea/ anachro- nifm. Ir chanced that ANCHISES was at this time in a remote val- __ ley, reviewing, in their ftate of pre-exiftence, fome of his pofte- rity, who were afterwards to diftinguifh themfelves in the Ro- man republic. When he faw his fon advancing towards him, he held forth both his hands, gave him an affectionate welcome, and wept for joy. The hero would have embraced his fa- ther 3. 48 REMARKS on fome Paffages of ther; but found that the fhade, though vifible, eluded the touch. Arrer a fhort converfation, ENEAs happening to fee, in a grove through which a river was flowing, an innumerable multitude of human beings flying about, afked his father who they were, and what river it was. The river, faid he, is Lethe, of which thofe fouls are taking a draught, being about to re- turn to the upper world, in order to animate new bodies. Is it to be imagined, exclaims Engas, that fouls fhould ever leave this happy place, and go back to the imprifonment of the bo- dy, and all the wretchednefs of mortality? I will explain the whole matter to you, replies ANCHISEs. Know, then, that all the parts of this vifible univerfe, the heavens, and earth, and fky, the fun, moon, and ftars, are, like one vaft body, animated by an univerfal fpirit, whereof the fouls, or vital principles, of all animals, of men and beafts, of fifhes and fowl, are emanations. This vital principle is, in eve- ry animal, the fource of fenfation and motion; but, from the influence that the body has over it, becomes fubjeét to inordi- nate paflions, and forgetful of its heavenly original. The foul of man, in particular, (for nothing further is faid of the other animals) contracts, while fhut up in the dark prifon of the bo- dy, a degree of debafement which does not leave it at death, and from which the fufferings of a fubfequent ftate of purga- tion are neceflary to purify it. Thefe are of different kinds and degrees, according to the different degrees and kinds of guilt or impurity which the foul has contracted. Some fouls are expofed to the beating of winds, fome are wafhed in water, and fome purified by fire. Every one of us (fays ANCHISES, including himfelf) fuffers his own peculiar pains of purifica- tion.. Then we are fent into this vaft Elyfium, and a few of us remain in the eternal poffeffion of it*. The reft continue here, * I fuppofe the words Ez pauct Jeta arva tenemus, to be a parenthefis ; which, in my epinign, clears the text of all obfcurity. By the change of the perfon, in the four lait lines “The fixth Book of th ENEID. 49 here till, by the air and tranquillity of the place, they have entirely got the better of the impurity contracted in the world, have had every impreflion of the pains of purgatory worn out, and are reftored to their original fimplicity of nature. Thus refined, they are, at the end of a thoufand years +, fummoned __ by a divine agent, or god, to meet in one great aflembly, where _ they drink of Lethe to wafh away remembrance, and then, in compliance with their own inclination, are fent back to the ale to animate new bodies. _ Havine ended this account, ANcHIsEs, with his hgh and the “sybil, paffes to a rifing ground, and points out, in a ftate of _ pre-exiftence, a proceflion of Roman heroes, who were in due _ time to defcend from hhim ; briefly defcribing their feveral cha- _ racters, in a moft fublime {train of poetical prophecy. r.,, I suaAct fubjoin a few remarks on the concluding fcene of this noble epifode ;—on the gates of horn and ivory. Thefe gates have given no little trouble to critics, both ancient and modern ; rho, after all, feem to have been not very fortunate in their Vor. Il. G conjectures. “ (certains fufficiently the import of tenemus. ‘The learned Rueus conftrues the paflage ‘a way fomewhat different ; 3 but his genera] account of the poet’s dottrine differs not entially from mine. : - More literally, ‘‘ When they have rolled the wheel, or circle, for a thoufand ears ;” that is, when the revolution of a thoufand years is completed. For this pretation we are indebted to Servius, who tells us further, that this fingular rafe was taken from Ennius. Anciently perhaps rota might mean a circle, (as well a wheel,) and poetically a year; fo that, in Ennius’s time, vo/vere rotam might be a urative phrafe of the fame import with annum peragere, to pa/s a year. The original fing of annus is a circle, whence the diminutive annulus, a ring. The fame reference e circular nature of the year, may be feen in the Greek éuavres, which Vircix cer- had in his mind when he wrote, “‘ Atque 7 /é fua per vefligia volvitur annus.” ‘ mf this is attended to, our author’s ufe of the phrafe in queftion will appear not fo harfh as it might otherwife be thought to be, and not at all too figurative in this very folema part of the poem. 50 REMARKS on fome Paffages of — conjectures. This is owing, not to obfcurity in the poet, but to the refinement of thofe interpreters, who miftook a plain paflage for a profound allegory, and were determined to find a fecret meaning init. The gate of ivory, fay they, tranfmits falfe dreams, and.that of horn true ones; and Engas and his companion are difmiffed from Elyfium, and let into the upper world, through the ivory gate. What can this imply, but that the poet meant to infinuate, that every thing he had faid con- cerning a ftate of future retribution, was nothing more than a fallacious dream? And, in fupport of this conjecture, they ge- nerally quote from the Georgic three verfes to prove, that Vircit was in his heart an Epicurean, and confequently difbe- lieved both a future ftate and a providence. The verfes are— “ Felix qui potuit rerum cognofcere caufas, Atque metus om- “ nes, et inexorabile fatum, Subjecit pedibus, ftrepitumque ‘* Acherontis avari.” Now, in the firf place, it does not appear to me, that thefe lines can prove their author ever to have been an Epicurean, or that he meant to fay more than ‘‘ Happy is the -man whofe “‘ mind philofophy has raifed above the fear of death, as well “© as above all other fears.” For, in the Georgic, he not only recommends religion and prayer, which Epicureans could not do confiftently with their principles, but again and again aflerts a providence ; and, in terms equally elegant and juft, vindi- cates the Divine wifdom in eftablifhing phyfical evil as the means of improving and elevating the mind of man. But does he not, in his fixth eclogue, give an account of the formation of the world according to the Epicurean theory? He does; and he makes it part of the fong of a drunkard: no proof that he held it in very high efteem. Bur, 2d/y, Suppofing our poet’s admiration of Lucretius might have made him formerly partial to the tenets of Epicu- RUS, it does not follow that he continued fo to the end of his life, The fixth Book of the EN EID. 51 ‘life, or that he was fo while employed upon the Eneid. The duties of religion, and the fuperintending care of providence, are by no other Pagan author fo warmly enforced as in this poem ; and the energy with which, in the fixth book, and in ‘one paflage of the eighth, (v. 666.) he afferts a future retribu- tion, feems to prove, that he was fo far in earneft with regard to this matter, as to believe, that it was not, as the Epicureans _ affirmed, either abfurd or improbable. Let it be remarked, in the ¢hird place, that no poet ever thought of fo prepofterous a method of pleafing and inftructing his readers, as firft to employ all his fkill in adorning his fable, and then tell them, that they ought not to believe a word of it. The true poet’s aim is very different. He adapts himfelf to the opinions that prevail among the people for whom he writes, that they may the more eafily acquiefce in his narrative; or he - is careful, at leaft, to make his fable confiftent with itfelf, in order to give it as much as poflible the appearance of ferioufnefs and truth. We know, that the fcenery of the fixth book ‘is _ wholly fictitious ; but the Romans did not certainly know how far it might be fo: founded as it was on ancient tradition, which no hiftory they had could overturn ; and on philofophi- cal opinions, which they had never heard confuted, and which, where Revelation was unknown, might feem refpectable, on account of the abilities of PyrHaGoRAs, PLATO, and other hit ‘great men who had taught them. To which I may add, 4fhly, as an argument decifive of the __ prefent queftion, That if VireiL wifhed his countrymen to be- -_ fieve him to have been zof in earneft in what he had told them of apre-exiftent and future ftate, he muft alfo have wifhed them to underftand, that the compliments he had been paying to the moft favourite charaters among their anceftors were equally infincere ; and that what he had faid of the virtues of Camiz- tus, Brutus, Caro, Scipio, and even Aucustus himfelf, ___-was altogether vifionary, and had as good a right to a paflage n- G2 through ye — ee 52 REMARKS on fome Paffages of through the ivory gate, as any other falfehood. Had Ocravia underftood this to be the poet’s meaning, fhe would not have rewarded him fo liberally for his matchlefs encomium on the © younger Marcettus. Had this indeed been his meaning, all the latter part of the fixth book would have been a ftudied in- fult on Aucustus, and the other heroes there celebrated, as well as on the whole Roman people. Strange, that the moft judi- cious writer in the world fhould commit fuch a blunder in the moft elaborate part of a poem which he had confecrated to the honour of his country, and particularly to that of his great patron AuGusTUs ! We mutt therefore admit, either that Vircrt had loft his fenfes, or, which is more probable, that, in fending Engas and the Sybil through the ivory gate, he intended no farcaftic re- fleGion either on his country or on his poetry. In a word, we muft admit, that, in this part of his fable, he was juft as much in earneft as in any other ; and that there was no more joke in Eneas’s afcent through the gate of ivory, than in his de/cent through the cave of Avernus. How then are we to underftand this adventure of the gate? I anfwer, By making the poet his own interpreter, and not feeking to find things in his book which we have no good reafon to think were ever in his head. In the nineteenth book of the Odyfley, Penelope, {peaking of dreams, fays to her nurfe, that there are two gates by which they are tranfmitted to us; one made of horn, through which the true dreams pafs, and the other of ivory, which emits falfe dreams. This thought Homer probably derived from fome Egyptian cuftom or tradition, which one might dif cufs with many quotations and much appearance of learning ; and this, no doubt, gave Vircizt the hint of the paflage now before us. But Vrrer’s account differs from Homer’s more than the commentators feem to be aware of. Homer does not fay in what part of the world his gates are; ViRGIL’s are in Italy, not far from Cumz, and are faid to be the outlet from Elyfum The fixth Book of the ENETD. 53 _ Hlyfium into the upper world: a wild fiction no doubt, but not more wild than that of making the cave of Avernus the in< let from the upper world into the nether. Homer’s gates are _ the gates of dreams ; V1RGI1 calls his the gates of fleep. The former are not faid to tranfmit any thing but dreams; of the latter, one tranfmits dreams, and the other real ghofts or /hades. For thus, though all the commentators are againft me, I muft : 4 underftand the words wmbris veris; becaufe in Vircit umbra - often fignifies: a ghof, but never in him, nor in any other good _ writer, (fo far as I know) a dream. If it be afked, what ghofts they were that ufed to pafs this way; the anfwer is eafy : they _ were thofe who, after having been a thoafand years in Elyfium,, and taken a draught of Lethe, were fent back to the upper _ world to animate new bodies.‘ If again it were afked, whether- i fuch beings might not be of fo fubtle'a nature as to work their i "way into the upper :world without paffing through a gate; I fhould anfwer,’ that vifible fubftances, which might be purified by fire;or wafhed in water, and could not get over the river Styx but in‘a'‘boat, muft be fo far material at leaft, as to be ca- 4 pable ‘of ‘confinement,’ and confequently of being fet at li- e) THE falfa infomnia that go out by the ivory gate may mean, either deceitful dreams, or dreams in general, that is, unfubftantial things, as oppofed to realities ; which laft I take to be the pre- ferable fignification. Be this, however, as it will, ENEAs and the Sybil were neither ghofts nor dreams, but human flefh and : od 5 3 and could no more be fuppofed to partake of the quali- ; alluded to in the mame of the gate by which Ancuises dif- ed them, than a man is fuppofed to be lame for having — ed through Cripplegate, or than the Lord Mayor of Lon- , by entering in proceflion through Temple-bar, is fuppofed. C Rive become a better churchman than before, or a better: awyer. Through one or other of the gates of fleep the Trojan and his guide muft pafs, or they never could return to the upper: world: 54 REMARKS on fome Paffages of the ENEID. world at all: and that gate the poet probably made choice of, which firft occurred to him ; and that probably would firft oc- cur which founded beft in his verfe: or perhaps one might fay, in the way of conjecture, that he thought fit to open the ivory gate, becaufe the other, being appropriated to the purified ghofts, might not be fo well fuited to mere mortals. This is ‘certain, that, though the ablative eburna ftands very gracefully in the 898th line, the ablative cornea could not ; becaufe, being the foot amphimacer, it can have no place in a regular hexa- meter. . As to the analogy that fome critics have fancied between horn and truth, and between falfehood and ivory, it is fo whimfical, -and fo abfurd, that I need not mention it. AND now, by removing the mift of allegory from Vireit’s gates, I flatter myfelf, that I have made thefe verfes fomewhat more intelligible than they have been generally fuppofed to be 5 that I have proved the latter part of this epifode to be confiftent with the reft of it; and that I have vindicated a favourite au- thor from the heavy charges of impiety and ill-manners, where- of, however repugnant to his general character, it would not be eafy for thofe to clear him who follow the common, though lefs obvious, interpretations. Ill. ie ML dn Essay on RyTumMican Measures. ByWAL- Bt TER YounG, M.A. F.R.S, Epin. and vee RE RE 15a Gofpel at Exfkine. | ee [Read by Mr FoHN ROBISON, Dec. 18. 1786.] AWN is formed to derive pleafure from a variety of dif- YH ferent fources. Many of his pleafures are communi- red ra the channel of the external fenfes. Each of thefe has a Seclar claffes of objects that are fuited to its gratification ; d thefe, being diffufed in great abundance through the works “mature, or framed by the art and ingenuity of men, become to him a fource of frequent and diverfified enjoyment. _. Tue pleafures which we receive through the fenfes of feeing of hearing have ever been accounted of a nobler and more nified nature than thofe which we receive by means of the other fenfes. They are intimately connected with, and feem, in a great meafure, to depend upon, certain higher faculties of uuman nature, which have fometimes been called internal es. A fenfibility to them is poffeffed by different men in , different degrees, and confers upon fome men a real fupe- ority to others: The inferior animals do not appear to be, in any degree, poffeffed of it. It is fufceptible of cultivation and rovement. The man, therefore, who poffeffes it in a high ee, whilft he has an exquifite enjoyment of all the pleafures h are peculiar to thofe fenfes, derives, at the fame time, an. additional fatisfaétion from the flattering confcioufnefs, not on- ly that he is exalted above the inferior animals, but that he is more 56 On RYTHMICAL MEASURES. more perfec in his kind, and more highly improved, than ma- ny who belong to his own fpecies. Accordingly, thefe plea- fures have, in all ages, been fought after with eagernefs. Men of the greateft abilities have employed themfelves in tracing out their nature, invettigating the different internal fenfes upon which they depend, and difcovering the various objects that are fuited to communicate them. The greateft efforts of hu- man ingenuity have been directed to obtain thefe objects, and | to prefent them in their moft perfect ftate. Amonce the internal fenfes upon which thefe pleafures are found greatly to depend, the perception of order and propor- tion feems to have a principal place. Order and proportion are generally difcovered, in a certain degree, in every thing that communicates immediate pleafure, either to our fight or hear- ing. When, from any particular circumftance, they happen not to be perceived, the pleafure is always greatly abated ; in fome cafes it is altogether deftroyed. ‘That fome kind of ar- rangement and proportion of parts is effential to every thing — which is accounted beautiful, is generally acknowledged. Lefs doubt can be entertained with regard to the objects of hearing. It is an eftablifhed fact, that no founds can give great pleafure to the ear, unlefs they are related to one another according to certain proportions, and are difpofed in a certain order. It is equally eftablithed, that when founds in fucceflion are fo re- lated, the pleafure which they afford is very imperfe@t, unlefs their refpeCtive durations are regulated according to certain meafures. Mankind are greatly diverfified with regard to the power which they poflefs of perceiving thefe relations. Some — men have that power in a much higher degree than others. Some men have a very nice perception of thefe relations in one clafs of objects, while they feem to be fcarcely fenfible of them in other clafles. Thefe differences amongft men are undoubt- edly owing in a great meafure, to habit and cultivation. They feem, ; On RYTHMICAL MEASURES. 57 feem, however, to depend alfo, in a confiderable degree, upon natural conftitution. I wave obferved, that, in an agreeable fucceflion of founds, order and proportion take place in two different ways. Upon the one depends what is called the tone of the feveral founds, or the relation which. they bear to one another with refpect to . acutenefs and gravity ; upon the other depends what is often called their rythm, cadence or meafure. The latter of thefe is probably the moft important. It feems to be indifpenfably re- ‘quired in every agreeable fucceflion of founds. A feries of notes, proportioned in tone with the utmoft nicety, and ar- ranged with the greateft art, if no meafure or proportional du- ration is obferved in them, will-communicate no pleafure, but, onthe contrary, will create difguft. On the other hand, a fe- ries of founds juftly proportioned in duration, and artfully dif- _ pofed, will always give pleafure, although every one of them fhould be expreffed in the fame-tone, and even although they __ fhrould be expreffed in different tones, the proportions of which cannot be ‘perceived by the ear. The beating of a drum is agreeable to the ear, and fometimes has a confiderable effect upon the mind. ‘The fyllables which compofe words differ in _ length according to certain proportions, which may be felt by ‘the ear. Words, therefore, may be arranged in rythm. When f E this arrangement is made with art, the rythm i is agreeable, even __-when it is expreffed in the tones of fpeech in which no mufical Le | proportion i is perceived. | Again, though men: poffefs, in diffe- i. ‘rent degrees, ithe power of feeling the proportional duration of : a - fiicceflive founds, and of relifhing an agreeable rythm, there tee is’ perhaps no man altogether deftitute of it. On the other a) pyneny mens power of perceiving the mufical relations of founds, i bi) and of relifhing an artful combination of them, is much more he _ diverfified: | The differences among them in this refpect are __ wider and more ftriking. In fome men, that power is fcarcely - difcernible, who neverthelefs may be able to judge of rythm Vot. II. H ; with. 58 On RYTHMICAL MEASURES. with accuracy, and to enjoy it with fenfibility. From this cir- cumftance, too, we are led to conclude, that of thefe two. powers, that by which we perceive and enjoy rythm is of greateft importance to our gratification. Tone is the province of the mufician alone. Rythm is equally the province of the mufician and the poet. It is alfo, in fome degree, an object of attention to the orator and profe writer. Although the general principles and foundations of rythm, as it takes place in the works of thefe different artifts, may be nearly the fame, the particular application of thefe, and the extent to which it is carried by each of them, are diffe- rent. It may accordingly be diftinguifhed into three kinds, viz, mufical, poetical and profaic. It is propofed, in the following Effay, to endeavour to inve- ftigate fome of the leading principles of the two firft kinds of rythm, the mufical and the poetical, and afterwards to fubjoin. fome additional remarks. and illuftrations upon each. of them. AmoncstT the ancients, mufic was feldom or never ufed but as an auxiliary to poetry. Its rythm, therefore, was regulated, in a great meafure, by that of the poetry to which it was adapted. Amongft the moderns, too, mufic and poetry are frequently united, and by this union their greateft effects are produced. As, however, mufic has been greatly cultivated and’ improved by the moderns, it is enabled alfo to fubfift alone, and in that fituation to produce very pleafing effects. In this feparate ftate it will be proper to confider it at prefent. And. here it will readily occur, that variety, within certain limits, is. neceflary to mufical rythm. In poetry, the proportion in du- ration of fingle contiguous founds feldom exceeds that of two- to one. This. proportion does not admit of great variety. When a poem, however, is recited, the attention of the hearer is chiefly engaged by the fentiments, the images and the dition. The rythm is frequently confidered only as an accidental. grace, which we are led by habit to expeét in every compofi- tiom On RYTHMICAL MEASURES. 59. tion that bears the name of poetry. In mufic, on the other hand, a principal part of the pleafure to be communicated muft depend upon the rythm; and therefore in mufic other proportions in duration, befides that of two to one, muft be admitted. In order then that thefe proportions may be felt, and that uniformity may be perceived amidft this variety, it is neceflary that the duration of the fucceflive founds be regulated according to fome fixed ftandard or meafure, which may be obvious to the hearer. This ftandard muft be a determined portion of time, of which every found muft be either an aliquot part or a multiple. Time is a meafurable quantity, or may be confidered under the ideas of equal, or of greater and lefs. Moft men are capable of perceiving equal intervals of time, provided thofe intervals do not exceed a certain magnitude. , When we hear a number of fucceflive ftrokes, we can generally determine whe- ther the intervals betwixt them are equal or unequal. We ac- quire this idea of equal intervals of time, from the motion of our own limbs, and of thofe of other animals, in walking or flying, which nature, for the purpofes of eafe and grace, has determined to be an uniform motion. We acquire the fame idea from the movement of pendulums, and from the beating of clocks and watches. By a habitual attention to thefe, men come by degrees to have a very accurate perception of {mall equal intervals of time. WHEN we have fixed our attention upon any fuch/interval, and confider it as an unit of time, we can fuppofe it divided into a certain number of equal parts; and by motion we actually can make fuch a divifion. _When we ftand befide a clock, we can, with great eafe, make a certain number of uniform or equal timed ftrokes in the intervals betwixt the feveral beats. This power of divifion, however, has its limits. Although we may conceive an interval to be divided into any number of H 2 equal 60 On RYTHMICAL MEASURES. equal parts, the number of parts into which we actually can divide it muft depend upon the powers which we have of per- forming quick motions. Thefe powers are very limited. The roll of a drum, the moft rapid movement of a mufician upon an inf{trument, does not divide a fecond of time into much more than fixteen or eighteen equal parts, hardly ever into twenty-four. Our power of dividing a fimall interval of time, equally and uniformly, and of perceiving fuch a divifion by the ear, is alfo confined to certain proportions. The fimpleft and the eafieft divifion is into two, or any of its powers which are within the limits of practicability. We can divide an interval into two or into four equal parts with almoft the fame eafe. Having ob- tained either of thefe divifions, we can alfo confider each of the parts as an unit, and fubdivide it into two or four, thus making a divifion into eight, or, if our powers of quick motion will admit, into fixteen*. Beyond this we cannot carry the powers. of two in the divifion of fingle intervals. The divifion into. three equal parts is not fo fimple as that intotwo. By practice, however, it comes to be equally eafy. Having eftablifhed this. divifion, we can, as in the former cafe, fubdivide each of them into twos, into threes or into fours, thus obtaining a divifion into fix, nine and twelve. We alfo obtain the numbers fix and twelve, by breaking down into threes each of the parts of a divifion by two or four t. A divifion into five equal parts re- quires a confiderable effort of the attention. We fometimes meet with a fucceflion of fuch divifions in the works of mufi- cians. In executing fuch paflages, the performer, fixing his attention upon the unit, probably runs on to the end of the fucceflion * Eicut is moft eafily conceived as two fours; fixteen is always conceived as. four fours. + Six we can indifferently conceive as three twos or as two threes ;, nine we muft con- ceive as three threes; twelye we can either conceive as three fours or four threes; we can alfo conceive it as two fixes, but with more difficulty as fix twos, On RYTHMICAL MEASURES. 66 fueceflion as uniformly as he can, without greatly regarding the numbers. When we attempt the divifion into five, we are often difpofed to break down the interval into two parts *, and fubdivide the one part into three, and the other into two, ma- king the two either equal to each other, or in the proportion of one and two. In the fame manner, when we attempt the divi+ fion of an interval into feven, we are perhaps irrefiftibly led to halve it, giving three to the one half and four to the other. A divifion into any of the higher primes is impra¢ticable. We have not only the power of dividing and fubdividing {mall intervals or units of time in the manner I have explained, but we can alfo form aggregates of them, by telling off equal parcels of them, when they are rendered fenfible to the ear by repeated ftrokes or founds. We do this, by attending particu- larly to the firft of each of the parcels. The confequence of this is, that thopgh the fucceflive ftrokes give out exactly the _ fanfie found, and are made with the fame degree of force, we _ fhall infallibly imagine the firft of each of our parcels to be fomewhat. louder or more ftrongly expreffed than the others. When we have counted off one parcel, the mind confiders the - whole as one act; the parcel is as it were fet by, and a new effort is made to count off the next parcel. Hence the firft of this parcel, being marked by a particular effort of the mind, and as it were reprefenting the whole parcel, ftrikes it more ftrongly than the reft, and is therefore conceived as louder ; and the laft of the parcel, being leaft attended to by the mind, is conceived as feeble, thus giving us the impreflion of fomething like a break or paufe betwixt the parcels. Thus, when we liften. -to the beats of a watch, we are at firft difpofed to reckon them by pairs ; and we invariably find, that the firft of each pair is confidered by us as a ftrong, and the other as a feeble found. We »® Mors efpecially if, in former parts of the fucceflion, the fame interval has. been found frequently. divided into two. 62 Qn RYTHMICAL MEASURES. ‘We may'be eafily fatisfied, however, that this is not always OWing to any real inequality in the force of the founds ; be- caufe we can often reverfe this order, by fixing the attention upon one of our feeble founds, and confidering it as the firft of a parcel. After-we have liftened for fome time to the beats, according to this new arrangement, we ftill find that the firft of each pair is ftrong, and the other feeble. We can tell off the beats, not only by pairs, but alfo by parcels of three, four and other numbers ;'and in every cafe we uniformly imagine the firft of each parcel to be more forcible than the others. We form thefe aggregates with greateft eafe, according to the fame proportions in which we make the divifions formerly defcribed. We count off the fucceffive equal intervals, marked by repeated founds, moft eafily, by parcels of two and of four. When the fingle intervals are not large, we can alfo make parcels of eight. Thefe arrangements -give what the muficians call common time. We.can alfo, with fuffcient eafe, reckon them by par- cels of three and of fix, thus obtaining what is called triple time. We can do more: we can even form aggregates of five equal intervals. We feem to do this by firft telling off two pairs, then accounting the fifth a feeble found, fixing the at- tention upon the fixth, and making that the firft of the next two pairs, and fo proceeding. We might, in the fame manner, form aggregates of feven. As, however, by. counting off three fucceflive pairs, the mind has in a manner eftablithed the arrangement of ftrong and feeble founds, it becomes greatly more difficult to confider the feventh as a feeble found, and to fall into the new arrangement. Even when we reckon by par- cels of five, we are defirous of having fome little time to efta- blifh our new arrangement ; and when the intervals marked by the fucceflive founds are perfe@tly equal, we always feel as if the fixth came upon us too foon; we wifh that it might be fufpended till the time of the third pair is completed. Aggre- gates of five oecur frequently in poetry. They have fome- times, . ; i - ay 7 On RYTHMICAL MEASURES. 63 times, we are told, been attempted alfo in modern mufic, but never with fuccefs, and are now univerfally laid afide * BesipEs the powers which we have of dividing and fubdi- viding {mall equal intervals or units of time, and of counting them off by equal fucceffive parcels, we have ftill the farther power of combining together certain numbers of thefe parcels, or of feeling fuch combinations, and confidering them as fomething feparate and diftin@ from what went before and what is to come after. We make thefe combinations by twos, by threes and by fours, rarely I believe by any other num- bers. The parcels by which we firft count off the intervals, are, in modern mufic, called ars, being marked in writing by perpendicular lines drawn acrofs the ftave. Combinations of two, three or four of thefe bars are called mufical phrafes or firains. The firft note of every bar is accented t. In parcels of four, the third, being the firft of a baie is alfo accented, but not fo ftrongly as the firft. THIS: * Tue ancients defined certain meafures, which they confidered as aggregates of five and of feven, as meafures of which rythmical fucceffions might be formed. Thefe they fuppofed to be made up of lefler meafures, bearing to one another, in the one cafe, the fefquialter proportion, or that of two to three, and in the other cafe the epitrite _ proportion, or that of three to four. Whether they had, or could have, a diftin&t feel- ing of thefe numbers, upon hearing a fucceffion of' fuch meafures exprefled in fyllables, or whether fuch a fucceffion could be exprefled fo as to communicate fuch a feeling, are matters with regard to which F am much inclined to doubt. We may indeed conceive aggregates of five to be formed. by counting off twos and threes, or threes and twos alternately ; and, in like manner, aggregates of feven, by counting off threes and fours, or fours and threes. This, however, can hardly be done, unlefs the fingle times are of fuch magnitude,.as that they may be confidered as units of time, which is not the cafe with the fhort fyllables of words. Even when the fingle times are fufficiently large, the counting them off by alternate even and odd numbers, isa difficult, perhaps an unna- ‘tural operation. It requires fuch.a conftant and even:painful effort of the attention, as is inconfiftent with that eafe and fimplicity of conception and operation, which is effen- tial to every thing that is agreeable. If the attention is relaxed, we muft either hold “entirely by one number, or run into confufion. + Tuave here ufed the term accent in its mufical acceptation, to denote that imagi-- ' nary degree of force or emphafis which a found acquires from the circumftance of? its being the firft of a parcel in a rythmical fucceflion. 64 On RYTHMICAL MEASURES. Tus procefs of dividing and fubdividing, of compounding and fupercompounding {mall intervals or units of time, as I have now ftated it, appears, at firft view, to be extremely com- plicated. The whole, however, is undoubtedly gone through by ‘every one who executes a piece of regular mufic in juft time, and by every one who hears a piece’ of mufic, and per- ceives the meafure of it; and this apparently without any la- bour or exertion of the mind. Perhaps the procefs, by which we perceive the relations in tone, which mufical founds bear to each other, is ftill more complicated, and yet this goes on even without our confcioufnets. “Wuen we hear a piece of mufic, we firft mark the fingle intervals or units of time; afterwards, from the fuperior de- gree of force with which the accented notes are exprefled, or from fome circumftances in the found or the rythm which draw the attention to thefe notes, we very quickly difcover, how many intervals are contained in each of the equal parcels, ac- cording to which the meafure is conftructed. Having efta- blifhed this, we can with great eafe go along with the perform- er, and feel the proportional duration of every note. We are provided with a ftandard or fcale, to which we can refer the moft minute divifions that can be made, and by which we can meafure the longeft notes that may occur. If we are unac- quainted with the piece, and do not at firft perceive the mea- fure, we are kept, during all that time, in a difagreeable ftate of fufpenfe, and are unable to liften with any degree of pleafure or fatisfaction. THE meafure is moft eafily perceived when the bars natu- rally combine into twos or fours, and when of thefe combina- tions the whole or each part of the piece contains a determinate even number. In this manner, the fimple popular airs, fuch as marches, gavots and minuets, are conftructed. There are very few who cannot eafily perceive and relifh the meafure in fach airs. This regular ftructure, however, is not obferved in On RYTHMICAL MEASURES. 65 in all mufic. In fome pieces, the bars do not regularly com- bine into phrafes, or, if they do, the phrafes do not always contain the fame number of bars. The number of the bars, too, is indeterminate, and fometimes very great. In fuch pieces, then, the meafure muft in general be formed of fingle bars or parcels ; and if the rythm is variegated by a confidera- ble range of long and fhort notes, and if the accented notes do not forcibly engage the attention, an unpractifed hearer will fometimes hardly perceive the meafure at,all. When this hap- pens to be the cafe, it is impoflible that he can receive any great pleafure from that mufic. According to the language ufed upon fuch occafions, he does not underftand it. Such difficult and perplexed meafures, however, occur more rarely in the later compofitions than in thofe of the laft century. In fuch meafures, beating of time is of great ufe both to the performer and to the hearer. This feems to have been a practice ever fince man had an idea of rythmical meafures. We are naturally difpofed, upon hearing fuch meafures diftinét- ly exprefled, to accompany them with correfponding motions of the body; and hence probably the origin of dancing, to which exercife the term rythm has been frequently applied. The beating of time is performed by putting down the hand or foot, and giving a ftroke at the inftant in which the firft note of every bar begins to be founded, and raifing them up during the remaining time of the bar. This both direéts the performer to execute the piece in uniform time, and enables the hearer readily to perceive the accented notes, and to afcertain the meafure. The ancients, in the performance of their mu- fic, and efpecially of their dramatical mufic, where the band Was numerous, beat time with great force and noife. This was perhaps neceflary, as their meafures were frequently un- equal .and irregular. The moderns, who generally conftruc& _ their mufic by equal and regular meafures, have laid afide that _ practice in every cafe where it is not indifpenfable. We un- Vo. II. I doubtedly 66 On RYTHMICAL MEASURES. doubtedly liften with more fatisfaétion when we can perceive the meafure from the real accent and expreffion of the notes, than when we mutt be aflifted by the continual repetition of un- mufical founds. Sucu then feem to be the nature, the extent and the man- ner of operation of what may be called our rythmical powers, or thofe powers by which we afcertain and perceive the propor- tional magnitudes of {mall intervals of time, when thefe are marked out by motion, or by fucceffive founds. And from what has been faid, we eafily fee what a prodigious variety may be introduced into mufical rythm, from the great range of long and fhort founds which may be occafionally employed, and: which may be difpofed and combined in a number of different ways almoft infinite, without perplexing the hearer, or hinder- ing him from readily and accurately feeling the proportional! duration of each. In the foregoing account of thefe powers, I have frequently: fpoken of fingle intervals or units of time. It may be proper,. in this place, to explain a little more fully what I underftood. by thefe terms. It will readily occur to every one, that I did not mean to exprefs by them a certain invariable portion of ab- folute duration. hefe units, like units in all other fubjects, are indeterminate and relative magnitudes. They mark fome- times a greater, and at other times a lefs portion of abfolute duration. The fame portion of abfolute time will, upon diffe- rent occafions, be confidered as an unit, as a multiple and as a part. Every one, however, who has been converfant in mufic, experiences, that when he performs, or when he hears and goes: along with a piece of mufic, there are certain notes which he- uniformly confiders as fingle durations, of which all the longer notes that occur are aggregates, and the fhorter notes are parts. He may therefore be very properly faid to have all this while the idea of an unity of time. Although thefe units of time differ confiderably in their abfolute duration in different move- ments,, On RYTHMICAL MEASURES. Be, ments, this difference is undoubtedly confined within certain limits. They can fcarcely be much greater nor much lefs than the intervals marked by thofe natural uniform motions from which our original impreffions of rythmical movement are de- rived, and particularly the motion of our own limbs in walk- ing or running. Perhaps the longeft found which can be con- fidered as a fingle undivided duration, is hardly equal to the time of two feconds; and the fhorteft which can be eafily counted without parcelling, is not much lefs than half a fecond, or than the time in which we can diftin€ly pronounce the nu- meral names in fucceflion. We can indeed attend to the fingle beats of a watch, but not without a confiderable exertion of the mind; we reckon them much more eafily by pairs or by fours. Ir might here be afked, what occafion is there, in order to explain our perception of rythmical proportion, for fuppofing it neceflary that the two oppofite operations of divifion and combination go on at the fame time? Would it not be more fimple and more natural to fuppofe, that the whole procefs is carried on in the fame direction, and by the fame operation ; and that either the longeft found which occurs in the fucceffion is to be accounted the unit or ftandard, and all the fhorter ones formed and conceived as proportional divifions of-it; or elfe, that the fhorteft found is to be taken for the unit, and all the longer founds conceived as formed by combination? The an- fwer is, that the procefs of dividing and combining appears to be the procefs of nature; and, for proof of this, appeal might be made to experience. When a perfon is inftructed in mufic, he is taught to mark the time of a femibreve by four uniform motions of the hand. He is thus accuftomed to confider it, Not as one time, but as four times, expreffed, not feparately and diftin@ly, but in continuance; and I may venture to fay, that the moft experienced mufician does not conceive fuch lengthened founds in a different manner. By practice and dif- I 2 cipline, 68 On RYTHMICAL MEASURES. cipline, indeed, he is enabled to give them a fmooth and uni- form intonation, without marking the fingle times as they pafs, by a {well or more forcible expreffion ; but ftill he is all the while reckoning thofe fingle times in his mind, or attending to the accompaniment by which they are for the moft part di- ftintly articulated. Thefe lengthened founds, therefore, never are conceived as units or fingle durations, but always as com- pounds. On the other hand, many founds occur in mufic which are too minute to be counted individually. Thefe, therefore, can only be conceived in groups, by being referred to fome longer duration of which they are aliquot parts. This may be farther proved from the following circumftance: In mufical fucceffions, we often find a duration which may be confidered as an unit, divided at one time into fours, and at another time into threes or triplets. Thefe minute times, therefore, will be to’ one another in the proportion of three to four. If, therefore, it is thought practicable to account fuch fmall time the unit or ftandard of a rythmical fucceffion, to which all the other times are to be referred, and by which they are to be eftimated, I would afk, which of the two minute times is to be taken for the unit, in the cafe above defcribed? If the fmalleft is pitched upon, I would farther afk, by what means are we enabled to exprefs the other accurately, in pro- portion to it as four to three, or to feel this proportion as fub- fifting betwixt them, efpecially as both are fuppofed to be in- capable of further divifion ? The matter feems to be impoffible. Such paflages, however, are, by no means, confidered as diffi- eult or embarraffing, even by young performers. Thefe fall times, therefore, are not conceived as units, but as divi- fions, by the fimple numbers four and three, of fome longer duration, which has been often diftinctly marked in the former parts of the piece, and with which the mind is fa- miliar. THESE On RYTHMICAL MEASURES. 69 THEse oppofite operations of divifion and combination faci- litate and fimplify the procefs of rythmical perception, and, at the fame time, enable us to take in a much wider range of proportion, than could be done if we proceeded only in one di- reCtion. As the unit is commonly fome intermediate time be- twixt the longeft and the fhorteft which occurs in the fucceflion, it bears no very diftant proportion to either of them. We frequently meet with femibreves and femiquavers in the fame piece of mufic ; notes which are to one another in the proportion of one to fixteen. This proportion is too great to be conceived and felt by a fingle operation of the mind. When, however, the crotchet is accounted the unit, we are enabled to eftimate, and accurately to exprefs, thefe diftant times, without going beyond the fimple and familiar proportion of four to one, on either hand. THE ancients. indeed accounted their fmalleft time as the unit or ftandard of rythmical movement. This fmalleft time, however, was not lefs than that of a fhort fyllable in pronun- ciation, and they had no founds in their fucceflions, which they confidered as bearing to this a greater proportion than that of twotoone. It may alfo be of importance to remark, that as their arithmetic was very imperfect, compared with. that of the moderns, it is very probable that they had not the fame ideas of fractional divifion, which we now have. In treating upon any fubject, therefore, in which number is concerned, they would naturally take for their unit the {malleft of the kind which they were examining, fomething that was either naturally indivifible, or that they did not expect to be under the neceflity of dividing. Thus ArisTIDES QUINTILIANUs Calls the fingle time of rythmical movement enuéor; a term by which, as he tells us, geometricians exprefled that which has no parts. This time, he adds, being without parts, holds, in fome degree, the place of unity *. The moderns, on the other hand, being able * Page 32, 33. Edit. Meib. “70 On RYTHMICAL MEASURES. able to conceive and exprefs proportional divifions of the unit, with as much eafe and accuracy as they do aggregate numbers, have it in their power to take their unit of fuch dimenfion as beft fuits the nature of the fubje@t. This circumftance may perhaps enable us to account for fome of thofe differences which take place betwixt the opinions of the ancients and of the moderns, upon the fubject of rythm. THERE are a few remarks which it may be neceflary to make, before I conclude this part of the fubjet. ‘In mufic, we fometimes find the unit of time divided into ‘two unequal parts, in the proportion either of two to one, or of three to one. In making or perceiving this divifion, we do not firft break down the unit into three or four, and then allow two or three of thefe to the firft note, and the remaining one to the other. We have not leifure for this operation. We merely conceive the one as prolonged and accented, and the other as abrupt and feeble. Hence, when we hear fuch divifions, it is very difficult, without the affiftance of the other parts of the meafure, to determine whether they are made according to the one proportion or the other. A practifed ear will frequently miftake, and in writing mufic the one is fometimes fubftituted for the other. AFTER a diftinét impreflion has been obtained of the units of which a rythmical fucceffion is compofed, and of the par- cels according to which it is conftru€ted, we do not lofe that impreflion, although the fucceffion fhould ftop, or no found be heard, during the time of one or more of the units. Thefe vacant or filent times, if they are not too long continued, we reckon with nearly the fame eafe and certainty, as if they had all been expreffed by founds ; and we clearly perceive the par- ticular part of the meafure at which the fucceffion of founds recommences. Thefe filent times are called refs in mufic, and are always accounted as part of the meafure. But this is not all. Wecan in a manner ftop the courfe of the rythmical movement, hen ay On RYTHMICAL MEASURES. 71. movement, or fufpend the flow of the units, during a time which is either indeterminate, or of which we take no exact account, and proceed afterwards as if no fuch paufe had been made. Thefe ad libitum paufes, as they are called in mufic, are feldom taken into the meafure, or confidered as making any part of it. The intention of them is to roufe and ftrike the mind of the hearer ; and there are various occafions on which: they may be introduced with very happy effect. Modern mu- ficians often ufe them as opportunities of difplaying the extent ‘of their invention and execution, when lofing fight of the compofer, giving the reins to their fancy, and little regarding rule or meafure, they entertain their hearers with a feries of rapid divifions through the whole compafs of their inftrument, and of uncommon and irregular modulations. But farther, we can not only fufpend for a time the courfe of the rythmical movement in the manner above defcribed, we can alfo render it occafionally flower or quicker, by-increafing or leffening the dimenfion of the unit, when we wifh to exprefs a heavy lan- guid movement, or one that is light and animated; and after having executed’ a part of the fucceflion in that manner, we can often, with great accuracy, refume our firft unit, or re- turn to our original time. We probably do this with moft cer- tainty, when this enlargement or diminution of the unit is made in fome fenfible proportion, as that of two to one. This L practice, and the effects of it, were well known to the an- ‘cients. They made it a branch of their rythmical inftitution, . _ under the title of Aywy7 pudusxn, or Dudius Rythmicus.- _In mufic, the accented note, or beginning of the meafure,. is not always the firft note that is founded.; it is:often preceded by one or more feeble notes, which are placed before the bar or perpendicular line which marks the commencement of the i firft meafure. Thefe introductory notes are thought to give a _ foftnefs and delicacy to the opening of the piece. In regular mufic, when the parts are repeated, the time of thefe notes is 72 On RYTHMICAL MEASURES. is always compenfated at the conclufion of the ftrain. The mo{t graceful clofe of a rythmical fucceflion is when the laft found is long. We alfo reft upon this found with moft fatis- faction when it begins upon an accented part of the meafure. In this cafe, that meafure may be left incomplete, by the exact quantity of the introductory note; fo that when the ftrain is repeated, this incomplete bar at the end, together with the in- troductory note at the beginning, make up one entire mea- fure. I Now come to make fome obfervations upon the rythm of poetry. Ir has already been remarked, that words being compofed of fyllables which differ in length according to certain propor- tions, are fufceptible of rythm. In all compofitions, therefore, the object of which is to pleafe and to affeét, it has been the general practice to arrange the words in fome agreeable rythm. One very common method for attaining this end has been, to form the words into parcels, according to certain mea- fures and proportions ; and in order that thefe parcels may be more readily perceived and attended to by the reader, to write them*out in feparate lines. Tuts poetical rythm cannot poflibly be fo various and com- plicated as the mufical. The fame principles, however, to a certain extent, take place in both. We find in poetry fmall intervals or units of time regularly divided and combined. The divifions, indeed, cannot poflibly be fo minute as they often are in mufic; neither are the parcels fo equal and uni- form. We have alfo in poetry accented and feeble founds ; and verfes, like mufical ftrains, are often introduced by one or more feeble founds, which fometimes are compenfated at the end of the verfe, and at other times are not. In poetry, as in mufic, we often make up a part of the meafure by refts or filent times. In reciting verfes, too, we can make indefinite paufes ; and On RYTHMICAL MEASURES. 73 a and we are often infenfibly led by the fentiments or by the ftructure of the words, to execute the dudfus rythmicus, or occa- fionally to accelerate or retard the movement. In the ancient Greek and Latin languages, the proportion betwixt the longand the fhort fyllables is better af{certained, more diftinéty marked, and more fenfibly felt, than it is in the mo- dern languages of Europe. Thofe languages are, therefore, fufceptible of a more perfe&t and a more diverfified rythm. _ The poets who have written in them have availed themfelves of this advantage, and have left us in their works a variety of very pleafing rythmical meafures. Critics have difcovered the rules by which thefe meafures were conftructed ; and, in order to explain them with greater eafe, have eftablithed and defined different fmall fcales of long and fhort fyllables, which have been called metrical feet, and by which the different meafures have been parcelled out into their component parts. The names and the nature of thefe feet are generally known, and need not, in this place, be explained. I fhall only, at this time, make two obfervations upon them. The firft is, that they feem, in general, to mark what I have formerly called fin- gle intervals or units of time, and thefe not very large. Any one may find, when he recites a verfe, that he can eafily pro- nounce two feet in a fecond; but that he can hardly draw them out, fo as that each of them fhall occupy the time of a fecond. The other obfervation is, that it does not appear to have been the intention of the perfons who defined and applied _thefe feet, to divide verfes by them always into equal intervals of time. The formation of them proceeds upon the fuppofi- tion, that when a perfon recites a poem, he pronounces every fhort fyllable in one determined fpace of time, and every long fyllable in a {pace of time exactly double of that in which he pronounces a fhort one. The real duration, therefore, of any one foot will be to the real duration of any other foot exactly _ in proportion to the number of thefe f{malleft times contained - Vor. II. K in = 74 On RYTHMICAL MEASURES. in each ; and this can be accurately determined, by obferving the number of long and fhort fyllables in each of them, and accounting every long fyllable equivalent to two fhort ones. In this manner we find, that the duration of an iambus or tro- chzus is to the duration of a fpondzus or a dactylus exaétly in the proportion of three to four. When thefe feet of unequal time, therefore, occur in the fame verfe, which frequently happens in fcanning, it is evident, that, upon this fuppofition, they do not divide that verfe according to equal intervals of time. Whether the fuppofition of this proportion, invariably fubfifting betwixt long and fhort fyllables, upon which this fyftem depends, be in every cafe well founded, may be the fub- ject of future enquiry. THE units of time, of which the duration of verfes 1s made up, are fometimes divided into twos and fours, and fome- times into threes. Of the firft we have an inftance in the com- mon hexameter verfe of the ancients. This is a regular rythm, the units being all equal, and formed into equal parcels. The number, of which the parcels confift, is fix. It may there- fore be confidered as a triple meafure. In verfes, as well as in. other rythmical fucceffions, the parcels of which confift of any number greater than three, we are always difpofed to break down thefe parcels into the fmaller numbers of which they are compofed, or to confider the whole parcel as an aggregate of thefe fmaller parcels. This is the origin of what is called the paufe or cefural ftop in verfes. As, according to what was formerly ftated, the clofe of a rythmical fucceflion, whether final or partial, is moft agreeable, when the laft found is long and accented, and as we are often difpofed to begin a fucceflion with one or more feeble founds ; fo, in making the divifions of verfes, we reft with moft fatisfaCtion upon a long fyllable in an accented part of the meafure, and begin the fucceeding — member moft eafily with a fhort or feeble fyllable, which we, in a manner, pafs over, and confider as introductory to the meafure, On RYTHMICAL MEASURES. 75 meafure. The moft fimple divifion of fix is into two threes. Hence we generally wifh to conclude the firft member of a hexameter verfe with the firft fyllable of the third foot ; and are pleafed, when we have an opportunity of doing fo, by that fyllable being the termination of a word. _ Tityre, tu patule — recubans fub tegmine fagi. Nos patriz fines — nos dulcia linquimus arva. This divifion of the hexameter verfe, not only gratifies the na- tural propenfities above mentioned, but, as the concluding fyl- lable of the verfe is in the unaccented part of the meafure, it gives a variety to the cadence of the two members, and pre- vents them from being fimilar or convertible *, which is al- ways confidered as a fault in the ftructure of verfes, and un- doubtedly gives them a difgufting uniformity. We can alfo make the break at the fecond fyllable of the third foot, when it happens to be a dactyle; as, in this cafe, we have ftill a feeble found with which to begin the fecond member, and the time of the firft member is more nearly completed. Formofam refonare — doces Amaryllida filvas. This ‘penthemimer divifion of the hexameter verfe, though the moft agreeable, does not always take place. To obtain variety, it is neceflary that it fhould occafionally be divided otherwife. _ The number fix may alfo be eafily conceived as made up of _ three pairs. By making the break at the firft fyllable of the _ fourth foot, we have two pairs, deficient of their juft time by _ the feeble fyllable or fyllables, which are introductory to the meafure of the fucceeding member. Ile meas errare boves — ut cernis, et ipfum. K 2 The * As, Cornua veletarum — vertimus antennarum, 76 On RY THMICAL MEASURES. The grammarians, led by the fyftem of half-feet, would not probably confider the divifion which I have made of the fifth line of Vircit’s firft Eclogue, quoted above, as the juft one. Fhey would rather fuppofe that the break took place at the end of the word doces. They would alfo fuppofe a fubordinate di- vifion at the word formofam. Tue divifion of the units into twos and fours, which takes place in the hexameter verfe, feems beft fuited to the ftructure of the Latin and Greek languages. Pure trochaic or iambic verfes, where every alternate fyllable is profodically long, and the others are fhort, occur but rarely in their works. Our lan+ guage, again, feems fcarcely to admit of fuch divifions. In our poetry, the fyllables are arranged lefs according to their real quantity, than according to the accent * with which we are accuftomed to pronounce them. An accented fyllable has ak ways the effect of a long one, and is qualified for being placed in the leading or accented part of a poetical meafure. An un- accented fyllable, on the other hand, gives us the impreffion of a fhort one, though by the common rules of profody it ought to be long, and though itis, in reality, pronounced long. is alfo difqualified for being placed in the accented part of a meafure. We have few inftances of areal dactylus in fingle words, though three fhort fyllables, from the accent with which the firft is pronounced, often affumes the appearance of one. Englith verfes are conftructed for the moft part by feet of two fyllables. The proportion which thefe two fyllables bear to one another is feldom perceived with accuracy ; neither is it of great importance that it fhould be fo perceived, provided the times of the entire feet, or of the two fyllables taken together, be nearly equal. The impreflion, however, which thefe feet, for * Wuen I apply the term accent to fyllables, I.ufe it in its grammatical acceptation, to denote that fuperior force of articulation, and that inflection of the voice, with which we always mark in our pronunciation fome particular fyllable or fyllables of every, word, On RYTHMICAL MEASURES. 49 for the moft part, communicate, is that of a trocheus of fambus. Our poets alfo conftruct verfes fometimes by feet of three fyllables. Thefe feet, although the fyllables of which they are compofed are, for the moft part, nearly equal, give us the impreffion of fomething like a dactylus or anapzftus, according as the accented fyllable is the firft or the laft of thethree. In regard to their ftructure, therefore, Englifh verfes have been diftinguifhed into three kinds, trochaic, iambic and ana- peftic *. ALTHOUGH all iambic verfes are to be confidered as trochaics having a feeble fyllable introductory to the meafure, and ought always to be fo fcanned, yet the impreflion which thefe two: werfes make upon the ear, and the effeéts which they have upon the mind, are fomewhat different. When. we begin with the feeble found, we pafs eafily and gently from it to the ftrong found. We utter the ftrong found without much exertion, and can dwell upon it for fome time. On the contrary, when the ftrong found comes firft, we exprefs it with more difficulty and force, and pafs on to the fucceeding feeble found with more ra- pidity. Hence trochaics have been generally reckoned fome- what quicker in their movement than. iambics, and. more pro- per for exprefling vehemence or gaiety. As iambic verfes: themfelves, however, have naturally a light and airy caft, efpe- cially when the combinations are made by even numbers, our beft poets, to obviate this, have, in their more’ ferious compo- fitions, generally adopted a combination of five.. This has ac- cordingly been denominated the Englifh heroic meafure. The OS regular model of this verfe is as.follows. The firft. fyllable is unaccented, or fhort and introductory to the meafure. This is fucceeded by four feet of two fyllables, which, as the accent takes * Eneuisa trochaic and iambic verfes may be fet to mufic in‘common or in triple time indifferently. Anapzeftic verfes require, for the moft part, to be fer in triple time. Suenston’s Paftoral Ballad fet in common time, would lofe much of its beauty an@- delicacy. 78 On RYTHMICAL MEASURES. takes place upon the firft fyllable, may be confidered as tro- chees. After thefe, there is a {trong or accented fyllable, which clofes the verfe, and, along with the introductory fyllable of the next line, completes the number of five feet *. To | wake the | foul — by | tender | ftrokes of | art. This model is not always obferved. Our beft poets make fre- ‘quent deviations from it, in order to give variety to the cadence of their verfes, or to render them more expreflive of the fenti- ments or emotions which they wifh to convey. Tus verfe, like the ancient hexameter, admits of a break or divifion. As, according to what was formerly obferved, we generally reckon combinations of five by two pairs and an odd one, we make this break with moft fatisfaction upon the leading found of the fecond foot, or the fourth fyllable of the verfe. To make mankind — in confcious virtue bold. We can alfo make a divifion at the fixth fyllable, as in this cafe we have ftill one pair, with its introductory found, remaining. Of that forbidden tree — whofe mortal tafte f. Sometimes too the words are fo arranged, that the divifion muft neceffarily take place at the fifth fyllable or feeble found of the fecond foot. This divifion gives a paufe more real, and more diftinlly felt, than thofe formerly mentioned. As we mutt be- gin * Turs verfe is a combination of five times, more in appearance than in reality. When it is well conftructed, it will feldom fail to give the perfon who prenounces it the difpofi- tion and opportunity, by means of refts, of completing fix, fometimes perhaps eight times. + Wuen, by means of refts at the clofe, the time of fix feet is completed in pro- nunciation, this break divides the whole time into two threes. De. ae — hem gett: ey ae On RYTHMICAL MEASURES. 79 gin the fecond member with a ftrong found, and are partly de- prived of the afliftance in forming it, which we would have derived from the preceding feeble found, we require a little more time to make the exertion which is neceflary for that pur- pofe. This divifion alfo changes, in fome degree, the character of the verfe, the laft member becoming proper trochaic. It may fometimes, however, be ufed with a very happy effect. There feems to be an inftance of this in the firft line of Popn’s. ‘Effay on Man. A|wake, my | St Joun. | — Leave all | meaner | things, Here the grammatical paufe, coinciding with the rythmical di- vifion, gives fufficient time to form the accented found with which the fecond member begins; and that member being trochaic, is very well fuited to exprefs the intention of the poet, which is to roufe. The fame divifion occurs in the fecond: line ; but the effect of it is fomewhat different. To tow ambition —and the pride of kings. In reciting this line, we are unwilling to give an accent to the - conjunctive particle avd. To avoid this, therefore, we are dif- pofed to confider both that word, and the article which follows it, as feeble founds, introductory to the next ftrong found, and to fill up the time of the accented part of that third meafure ‘by a filence or reft. s To | low am|bition —| f and the:| pride of | kings. In this way, the reciter, hurrying over thefe two comparatively Bnimportant words, almoft in the time of one feeble fyllable, ‘is naturally led to exprefs the word pride with confiderable force or emphafis ; a circumftance which feems, in this-place, to fa-. ie. your 80 On RYTHMICAL MEASURES. vour the defign of the poet. Verfes of this form occur fre- ‘quently in the works of this author. Tue ftructure of the Englifh heroic verfe, and the uneven number of feet of which it is compofed, effectually fecures it againft the danger, or even the poffibility of its being divided into two parts which are equal, and at the fame time fimilar and convertible. When the break takes place at an accented or ftrong fyllable, the two members are neceflarily unequal. When, again, as in the two lines laft quoted, the divifion happens at the fifth fyllable, the two members, though they may be equal in time, are neceflarily different in cadence, as the firft begins and ends with a feeble found, and the fecond regularly begins and ends with a ftrong found. This feems to give to the Englifh verfe of this form a confiderable advantage over the common French verfe of fix feet, which uniformly divides into equal and fimilar hemifticks. TueEse breaks or divifions in verfes have perhaps been im- properly termed paufes. In many cafes, the paufe is more ima- ginary than real. I have formerly obferved, that we have al- ways, in a greater or lefs degree, the impreflion of a paufe be- twixt every parcel of equal times which we form. When we hear a minuet, or any piece of mufic, which is conftructed ac- cording to regular rythm, we have the impreffion of a paufe at the end of every bar; we have the fame impreflion more ftrongly at the end of every phrafe ; and yet we are certain, that, at many of thofe paflages, no real paufe is made. It frequently happens, that the proper break or rythmical divifion of a verfe takes place at one part of it, when the reft, the grammatical ftop, or the paufe of fufpenfion, occurs at another part of it. And | leaves the | world — to | darknefs | ¢ and to | me. In this line, the rythmical divifion takes place at the fourth fyllable, where little or no real paufe is neceilary. From what was On RYTHMICAL MEASURES. 85 was above obferved, however, upon the ftrudture of the fecond line of Pope’s Effay on Man, there muft be a fenfible reft or filence betwixt the feventh and eighth fyllables. Accordingly, this has commonly been confidered, and perhaps with propriety, as the place of the paufe in this line. It is probable, however, that the cadence of the verfe would not have been fo agreeable and fatisfactory, if the regular rythmical divifion had not oc- curred at the fourth fyllable. Some additional obfervations upon rythmical meafures, and upon the ftructure of ancient and modern verfes, fhall be re- ferved to the fecond part of this Effay. ~ PE: WP ie GE EF N the former part of this Effay, I endeavoured to- eftablith the general foundations of rythm, and to explain the nature and the extent of thofe powers, by which we perceive the pro- portional magnitudes of fmall intervals of time, when thefe are made obvious to the fenfes by motion or by fucceflive founds. The cafe of founds being that which is moft interefting, I di- rected my attention chiefly to it. Rythm in found I diftin- guifhed into three kinds, mufical, poetical and profaic; and _ made fome obfervations upon the two firft of thefe. I propofe, in this part, to offer a few obfervations relative to the fame fub- jects, which may tend to throw fome further light upon them. In thefe obfervations, I fhall have the following objects chiefly in view: To explain that ftruCture or arrangement of meafured founds, which may be faid to give a regular and perfeat rythm ; to mark the gradual deviations from that regular ftructure, which appear in thofe productions of human genius which are Vor. IT. L intended 82 On RYTHMICAL MEASURES. intended to pleafe, and of which the agreeable effect depends, in any degree, upon rythm; and, laftly, to apply the princi- ples which may be delivered, to illuftrate fome particulars in the ftructure of verfes. J In entering upon the firft of thefe, it will be proper to reca- pitulate fhortly the account which I formerly gave of what may be called our rythmical powers. From our conftitution, or from our habits, we have the power of marking and perceiving equal intervals of time, when thofe intervals do not exceed a certain magnitude. When we fix our attention upon one of thofe intervals, and confider it as an unit of time, we can fuppofe it to be divided into a certain number of equal parts, and by motion we actually can make fuch a divifion. The number of parts into which we can thus divide a given interval, muft neceflarily depend upon the powers which we have of performing quick motions. It is, however, regulated alfo by the preference which the mind naturally gives to the fimpler numbers. We divide with greateft eafe by two and its powers. We can alfo, with fufficient eafe, divide by three, nine, and the fmaller compounds of two and three. To make an equable divifion into five is difficult, into feven is per- haps impracticable, and into any of the higher primes is cer- tainly fo. Again, when we hear a number of equal intervals of time diftinétly marked by fucceflive founds, we are always. difpofed to count them off by equal numbers, thus forming them into fets or parcels. In doing this, as in making divifions, we always prefer the fimpleft numbers. When, therefore, there is nothing in the nature of the founds to determine our choice, we ufually count off the intervals by pairs, by fours or by eights. We can alfo, with fufficient eafe, count them off by threes and by fixes. As the firft found of each parcel is marked by a particular effort of the mind, and confidered by it as reprefenting the whole parcel, it is conceived to be more forcible than the other founds of that parcel, which, being lefs attended On RYTHMICAL MEASURES. 83 attended to by the mind, are conceived as feeble. As five is too large a number to be comprehended by one individual a@ of the mind, we can only form parcels of that number, by count- ing off two pairs, confidering the fifth fingle found as feeble, and fixing our attention upon the fixth, as the leading found of the next pair; or by counting off twos and threes, or threes and twos alternately. This infertion of the fingle time, at the end of every two pairs, changes the order of the ftrong and feeble founds, in every fucceeding parcel. Although this operation is practicable, it is probably very feldom actually performed. The frequent and fudden changes of the arrangement of ftrong and feeble founds, require an uneafy effort of attention in the per- former, and give an unpleafing furprife and difappointment to the hearer. Both feel a {trong defire to have the number of fix times completed, either by a lengthened found, or by a filence. _ Laftly, we have the farther power and difpofition to join toge- ther two, three or four of our firft parcels, thus forming larger combinations. By means then of the powers now defcribed, we are enabled to exprefs a fucceflion of founds whofe durations may be very different, but may, at the fame time, be moft accurately related to one another, according to certain proportions. We are alfo enabled, upon hearing fuch a fucceflion of founds, with readi- nefs and eafe, to feel the proportional duration of each, provi- ded the fimple proportions above mentioned be conftantly ob- ferved. In order to this, we firft of all fix our attention upon fome determined duration, which may be fomething near to the intervals obferved in walking, or in fome other of the uni- form motions with which we are familiar. This duration we confider as an unit of time. Having eftablifhed this, we can exprefs any number of them with great uniformity ; we can divide fome of them as we go along into parts, or combine two or more of them into lengthened founds. By habit, we can take our unit, at different times, greater or {maller; we can : L 2 make 84 On RYTHMICAL MEASURES. make larger combinations, and more minute and diverfified di- vifions. We go through a fimilar procefs, when we liften to fuch a fucceffion of founds, and perceive their proportional du- rations. As the exercife of every power, which we poflefs, conveys a certain degree of pleafure, we obtain a gratification, when we hear a fucceflion of founds juftly proportioned in du- ration to one another, and are able, at the fame time, to go along with, or to feel the feveral proportions which they bear. This then is undoubtedly one foundation of the fatisfaction which we derive from every kind of rythm. It can be no juft objection to this, that we frequently are not confcious, upon hearing a fucceflion of rythmical founds, of perceiving the va- rious proportions which they bear to one another. Our being pleafed with the proportions, our acquiefcing in them, is a fure indication that we feel them. If the unit were varied, or if di- vifions were attempted, to which we have not been accuftomed, » and with which we cannot go along, we fhould inftantly feel the difference. Our pleafure would be fenfibly diminifhed or altogether deftroyed. To form then a regular and agreeable rythm, it is neceflary that all the units in fucceffion be equal intervals. of time, and that their divifions be fimple and obvious. This, however, is not all. I have already obferved, that when we hear fuch a fucceffion of intervals, we are always difpofed to form them in- to equal parcels. As, however, there feems to be nothing to lead us to count off thefe parcels by any one number in pre- ference to another, and as we can do it by a few of the fmaller and fimpler numbers with almoft equal eafe, we naturally wifh to have fomething that may determine our choice. If we are not led eafily and readily to one particular number, or if, after we have fixed upon a number, we find ourfelves obliged to give it up, and to adopt another number, we are uneafy and diffatis- fied. For this reafon, a rythm that may be perfectly agreeable and fatisfactory, muft be conftru@ed according to fome mea- fure 5 On RYTHMICAL MEASURES. 85 fure ; the whole fucceffion muft be made up of parcels of fome determined number of units, and muft be fo contrived as that the hearer may be inftantly led to adopt that number, and re- tain it to the end of the fucceflion. This may be effected by various means. If, for inftance, we with that the hearer fhould count off the equal times by parcels of four, we may firft exprefs four diftin@t and undivided units, and afterwards other four in fome way combined or divided*. By this means, the hearer will naturally be led, after having reckoned four units, to ftop and begin a new parcel. He will be ftill more confirmed in this arrangement, if we make our third par- cel fimilar to the firft, and our fourth fimilar to the fecond f. We may obtain the fame end, by exprefling three diftin@ un- divided units, and refting during the time of the fourth, and fll more certainly by doing the fame thing over again. In like manner parcels of other numbers may be fuggefted. Va- Fious other contrivances for indicating the meafure, will readily occur to every one who attends to the works of muficians. The feturn of fimilar founds, and of fimilar combinations and di- vifions, after any number of units has been expreffed, naturally fixes the attention of the hearer to that number, and determines him to_adopt it, for counting off fucceeding parcels; and if care be taken not to confound him, by bringing in fuch returns at different parts of the parcel, by continuing founds from the end of one parcel to the beginning of the next, or by making minute and perplexed divifions, he will hold by that number to the end of the piece. WE naturally wifh, when hearing a fucceflion of meafured founds, not only to form them into parcels, but alfo to join two, three or four of thofe parcels together, thus forming larger * Firft movement of the fixth periodical overture, publifhed by R. Bremner. + Symphony to the firft recitative in Hanprx’s Messtan. 86 On RYTHMICAL MEASURES. larger combinations or ftrains. We may be affifted in doing this, and determined to a particular number, by the fame means by which we are affifted and determined in forming the fingle parcels, chiefly by paufes, and by the return of fimilar founds, or of fimilar combinations and divifions. By being led to form fuch aggregates, the pleafure we derive from liften- ing to the fucceflion is greatly increafed. We are thus provided with certain ftages or refting-places, and are enabled to count off the parcels with more fteadinefs, and with a fmaller effort of : the attention. Our fatisfaction is fill farther enhanced, when the entire piece confifts of fome fimple and agreeable number of fuch aggregates. We have then the impreffion of a whole, of fomething finifhed and complete ; and have a lively percep- tion of that proportion and arrangement of parts, which is effential to every thing that can be accounted beautiful or pleafing. We may now be able to form fome precife idea of what may be called a regular and perfect rythm. It is a fucceflion of meafured founds, all of which are either equal to, or are certain multiples or certain parts of fome determined portion of time, which may be called an unit, and are fo arranged and difpofed that the hearer is eafily led to count off thofe units by equal parcels of fome fimple number, and alfo to combine two, three or four of thofe parcels together, the whole fucceffion contain- ing a fmall determined number of thofe larger aggregates. It is in this manner, that all thofe pieces of mufic, which are com- monly called airs, are conftruéted. The regular minuet confifts of two parts or complete ftrains, the units are conftantly formed into parcels of three, and each part contains eight of thofe par- cels or bars, which the hearer is difpofed to combine into aggre- gates of two or four. The regular march and gavot are con-_ ftruéted in the fame manner, only the bars or firft parcels con- fift of four units in place of three. Havine On RYTHMICAL MEASURES. 87 Havinc eftablifhed this ftru€ture as the ftandard of regular and perfect rythm, I proceed to mark the gradual deviations from it that appear in thofe produdtions of human genius which are intended to pleafe, and of which the agreeable effec depends in any degree upon rythm. The artifts who have been employed in fuch produétions, feem to have had two ob- jects chiefly in view in occafionally departing from this regular ftructure, namely, to introduce variety into their works, and to render them more expreflive of certain feelings and emotions of the mind. I can only at this time confider the firft of thefe. In all thofe works which are addreffed to the fancy, that which is moft fimple and moft eafily conceived, is always that which firft of all engages the attention and communicates plea- + fure. While our powers of perception are yet in their infancy, it is impoffible that we can go along with what is various and complicated. Nothing but what is diftin@lly felt can commu- nicate real pleafure. We may perhaps not always be able to analyze our feeling, and may therefore fay that we are pleafed we know not why. When it is analyzed, however, it will be generally found to have been a diftinct feeling, or in other words, the objects which excited it will be found to have been commenfurate to our powers of perception. As we feem to de- rive our firft ideas of fmall equal intervals of time, from the unifoym motion of our own limbs, or of thofe of other animals _ in walking, we probably from the fame fource acquire the ha- bit of counting off fuch intervals by pairs. When, from any circumftance, the firft of each alternate pair is made particu- larly to attract the attention, we are then difpofed to join two. _ Pairs together, to form parcels of four, or to confider each four as fomething feparate and diftin¢ét from what went before and: we _ what is to come after. We may, in the fame manner, be led _to join two or four of thefe parcels together, in order to obtain _ what we may account a whole. Gradually we are enabled to conceive: 88 On RYTHMICAL MEASURES. conceive a fingle interval to be halved, and each half to be again fubdivided in the fame proportion. We thus obtain the fpon- deus, daétylus and double pyrrichius. It would appear, then, . that fomething of the nature of the march or gavot meafure ~ above deferibed, gives the moft fimple and eafy rythm, and is that which would probably firft of all ftrike and pleafe the hu- man mind. Dr Burney, in his account of Crotcu, the mu- fical child, publifhed in the Philofophical Tranfaétions, remarks of him, that, when he plays from his own fancy, what rythm he obferves is generally of the march kind, proceeding chiefly by the daétylus and fpondzus. The firft verfes of the ancients were probably formed of the fame meafures. As mens powers of perception improve, they naturally with for objects fuited to them, That which is moft fimple, and was at firft moft agreeable, gradually lofes its charm; they with for fomething that may give more employment to their powers. They could not, therefore, be always confined to the uniform’ movement by pairs and double pairs, but would endeavour in fome way to diverfify it. Their firft contrivance for this pur- pofe might poflibly be, to depart occafionally from the original arrangement of two, four, eight, by throwing in an additional pair to their two, or two additional pairs to their four, thus making combinations of three or of fix pairs. The da¢tylus and f{pondzus at the end of the common hexameter verfe, may thus poflibly have been an addition to the verfes of four feet, which had formerly been ufed, and might then have been con- fidered as an improvement. After combinations of three pairs had become familiar, it was an eafy ftep from that to arrange by parcels of three units; and thus the fimple triple time was obtained. This, though ftill farther removed from the original ieafure, became probably on that account the more pleafing. It gave more exercife to the rythmical powers; at the fame time, it did not fatigue them. It was free from the folemnity and uniformity of regular pairs. The minuet accordingly ever has On RYTHMICAL MEASURES. 89 has been, and is at this day accounted the moft elegant and pleafing movement in mufic. This meafure is almoft entirely confined to mufic. There is fcarcely an inftance of verfes, which are conftructed exa€tly according to it, unlefs perhaps the Ionian verfe of the ancients, a verfe which does not often occur in their works, and which, from the heavy uniformity of its movement, is by no means pleafing*. From parcelling by threes, it was an eafy tranfition to divide the unit by the fame number. For this, nothing more was required, than gradually to diminifh the unit, and to take the parcels of three by pairs : each parcel would come at laft to be confidered as a fingle unit divided. They would thus form the tribrachys, trocheus and iambus, according as they exprefled each of the three parts fe- parately, or joined any two of them together. In this way would be obtained the gig meafure in mufic, and the trochaic and iambic verfes in poetry +. Such parcels and divifions by three would probably at firft be formed into ftrains or larger combinations, by twos and fours; and this is ftill the moft ufual arrangement, In procefs of time, however, they would alfo be formed by threes and fixes. Thus the trimeter or fe- marian iambic verfe might be derived from the dimeter, or verfe of four fingle feet. So long as the bars or firft parcels, whether of pairs or threes, are equal, the larger combinations uniformly contain the fame number of bars, and thefe laft are reftri€ted to fome fim- ple and obvious number, the rythm may be confidered as re- _ gular. The moft gentle deviation from this ftructure, if in truth it can be called fuch, is extending the entire piece beyond Vou. IL. M the * Tuere is only one ode of Horace in this meafure, vz. Book lII. Ode 12. The rythm feems to go on to the end, without any fenfible break or clofe. + Tue tribrachys, or gig meafure, may poflibly have been fuggefted immediately from the found of a horfe’s feet, when running at full fpeed. go On RYTHMICAL MEASURES. the limits above afligned. The modern muficians frequently compofe pieces of confiderable length, and confifting of a num- ber of bars too great for the mind to keep an exact regifter or account of them. This enables them to take a wider range of melody and modulation, than they could do if their pieces were. confined within the limits of fhort regular air, and to prolong and diverfify the pleafure of the hearer. If in fuch extended pieces, however, the bars uniformly affemble into equal groups. or combinations, and if the whole piece, and each larger divi- fion of it, contain an even number of fuch combinations, the ; hearer has {till the impreffion of a juftly proportioned whole ; and even within this limitation a very copious variety may be obtained. Men, however, could not always bear this confine- ment. In proportion as rythmical meafures become more an object of attention, and are more frequently prefented to the ear, the neceflity of variety becomes the greater. The moft agreeable meafures, when too often repeated, become difguft- ing. We are often pleafed with a bold deviation from what is: ftrictly regular. The very furprife which it caufes is agreeable. It feems to have been in part from this principle, that the com- pofers of mufic have occafionally departed from the regular ftructure of rythm. Tue leaft offenfive deviation, which can be made from that ftructure, is the departing at times from the uniform equality of the {trains or latger combinations. It is effential to the minuet that the bars conftantly proceed by pairs. In the regular mi- nuet, there is always a more diftinét cadence at the end of every fecond pair. By this means, the hearer is led to, join two pairs. together, or to make combinations of four bars. ‘This arrange- ment is neceflary to render the rythm of the mufic ftriétly con- formable to the movement of the dance, which it is intended to: regulate. The whole piece commonly contains four of thofe larger combinations, two of which go to the firft part or com- plete ftrain, and two to the fecond. In order, however, to give more On RYTHMICAL MEASURES. gi more variety and extent to the compofition, a part may be made to confift of three, four or fix of thofe combinations ; or, by ql occafionally adding two bars, combinations of fix may be form- __ ed. All this may be done, without lofing the diftinguifhing characteriftic of the minuet. But if either the rythm is fo _ contrived, or the mufical cadences are fo placed, as at any time to form combinations of three or of five bars, the piece then ceafes to be a minuet. It may, however, notwithftanding this, be a pleafing compofition. The modern muficians, efpecially thofe of the German fchool, often fubjoin to the minuets of their inftrumental pieces, airs of the fame time and meafure, which they fometimes call fecond minuets, but more frequently trios. In compofing thefe trios, they fometimes take an oppor- } _ tunity of difplaying their learning and invention, and of fearch- ing for novelty, without confidering themfelves as under obli- _ gation to adhere to the elegant fimplicity of ftyle, or the regular _ rythmical ftruéture of the minuet. - By this means, the hearer _ is for a while very agreeably entertained, and the beauty and peculiar qualities of the minuet, which is always repeated after the trio, are rendered more ftriking. In thefe airs, combina- tions of three bars are frequently to be found *. As, however, two of thefe combinations often occur in fucceffion, and the other parts of the piece proceed commonly by pairs, the number of _ bars in the complete ftrain or air is in moft cafes even, or divifi- ble by two. In pieces of confiderable extent, fuch licences, when ufed with moderation, frequently pafs without being greatly ob- _ferved. They may even at times produce a very happy effect. D. They ferve to roufe the attention of the hearer, which is apt to ss. flag in a long piece, when the rythm uniformly proceeds by __ qual combinations ; and they often give a more emphatic in- {i M 2 troduction, } - / * Taro of firft minuet in third quartetto of Haypn, firft fet. Trio of fecond minuet 4m fecond quartetto of the fame author, fecond fet. 92 On RYTHMICAL MEASURES. troduction, or a more ftriking and diftin@ clofe, to fome re- markable ftrain. In fuch pieces, the bars very frequently pro- ceed by pairs. It is no unufual thing, however, for the com- pofer, in the courfe of the piece, to invert the order of the pairs, or to conftru@ the mufic in fuch a manner, as to lead the hearer occafionally to confider thofe bars as the firft or leading bars of a pair, which, from the place in which they ftand in the piece, ought to be accounted the fecond or following. This is done in various ways. When a ftrain, for inftance, happens. to clofe upon the beginning of an odd bar, in place of com- pleting the time of the even bar which fhould follow it, by found or filence, that {train is either immediately repeated, or a new {train is introduced*. When, again, a ftrain concludes: upon the firft of an even bar, the key-note, or one of its. har- monics, with which that bar begins, is fometimes made: the commencement of a new ftrain, and of courfe to ftand as: the leading bar of the next pair ft. This is very often practifed by the compofers of inftrumental fymphonies, when it is intended: by them, that the paflage thus brought in fhould be fenfibly different in loudnefs or in ftyle from what went before. A bold and animated {train efpecially, in which all the inftruments join and. exert their whole power, is thought to produce a greater effect, when it is introduced in this fudden and abrupt manner. The arrangement of the pairs is alfo fometimes inverted, by the repetition of a bar in the middle of a ftrain. Such repeti- © tions feem, upon fome occafions, to give the appearance of greater buftle and confufion to mufic that is impetuous and rapid}. Laftly, the firft bar of a movement, or of fome parti- cular * Exvevents periodical overture, laft movement, at the thirty-firft bar. + Tue fame movement at the forty-feventh bar, where the original arrangement of the pairs is reftored. + Tuirp quartetto by Haypn, firft fet, laft movement, at the rsth bar of the firft part, and the 29th bar of the fecond part. On RYTHMIGAL MEASURES. 93 cular ftrain in the progrefs of it, is fometimes occupied by the key-note, ftruck with emphafis, and followed by one or more feeble notes, introductory to the next meafure. This firft bar being as it were fet afide, or confidered as ftanding by itfelf, the mufic afterwards proceeds by regular pairs, commencing at the fecond bar *. When inverfions occur at the end of three or of five bars, diftinét combinations of thefe numbers are formed +. Such fmaller uneven combinations are very often repeated, and thus the original arrangement is reftored. In other cafes too, when by any means the firft arrangement of the pairs or double bars has been inverted, it is frequently reftored either by the fame or by fome other means. Sometimes, how- ever, the altered arrangement continues to the end of the piece, and the number of bars in it becomes thereby uneven. As pleafure is often heightened by variety and contraft, fuch occa- fional interruptions of uniform movement give an additional relifh to the regularity that is obferved in other parts of the compofition. Their effect is fomewhat analogous to that of difcords in the harmonical ftructure of mutfic. Tue licences with refpect to the combinations of the bars, which have been mentioned above, though they feldom fail to ftrike a perfon who has a good ear, do not prevent the rythm from being diftinét and pleafing. In fome mufical compofi- tions, however, fuch licences are carried to a greater extent. The combinations are fometimes fo various and obfcure, that the hearer can fcarcely retain the impreflion of them. This is often the cafe in the longer and more grave and.folemn pieces _ of what is now, by way of diftinction, called the ancient mu- fic, * Fiasr quartetto of the fame fet, laft movement, at the beginning, and firft movement, at the 23d bar of the firft part, and correfponding paflage of the fecond part. + Tue firft quartetto of Hayon’s fecond fet begins with two combinations of three bars, after which the mufic proceeds in general by pairs. The fecond part of the laft movement of the firft of fix overtures by the Earl of Kexry, begins with two fucceffive combinations of five bars. 94 On RYTHMICAL MEASURES. fic, and particularly in that fpecies of it, which is known by the name of the fugue. This had its rife at the time when the chief profeffors and improvers of the mufical art were church- men, and when, of courfe, that kind of mufic was chiefly cul- tivated, which was thought to be beft calculated to compofe and elevate the mind, and to infpire devotion. A fimple, regu- lar and diftinét rythm was probably thought by them to give the mufic a light and airy caft, inconfiftent with the effedé which they wifhed to produce. They either made the move- ment flow and the notes equal, in which cafe the attention of the hearer was almoft wholly directed to the tone and modula- tion; or if, in their inftrumental mufic, they introduced a quicker and more varied movement, they ftudioufly avoided every thing, which might have the appearance of regular air. The fugue feems to be well calculated to anfwer this intention. It is executed by two, three or more voices or inftruments in concert. All of them in fucceflion are made to found fome fhort fimple melody, which is called the fubjeé&t. This is fre- quently repeated or imitated by them, in a variety of different keys, the repetitions coming in at unequal intervals, and often in the middle of a bar. As the compofition of the fugue was thought to be a great difplay of art and {fkill, it was afterwards introduced into every kind of inftrumental mufic, and was gradually rendered more complicated. As the rythmical com- binations are often irregular and indiftin@tly marked, and the harmonical parts are frequently running counter to one another, — it requires great attention to perform it with precifion and ac- curacy, and of all mufic it gives leaft pleafure to one who has not been accuftomed to it. The tafte for this kind of mufic has been for fome time declining, and it is now moftly confined to the church. ALmost every degree of irregularity, then, in the combina- tions of the. bars may be occafionally tolerated. This, how- ever, is by no means the cafe with the bars themfelves, or the, fingle t - b | On RYTHMICAL MEASURES. OF fingle parcels. Any inequality among them is more fenfibly felt, and when improperly introduced, never fails to hurt and difpleafe. Such inequalities may be made, either by increafing or diminifhing the unit, thus making the movement quicker or flower, or by varying the meafure, or the number, according to which the bars are formed. In a long piece of mufic, a con- fiderable variety, both of movement and of meafure, may be introduced. Changes, however, are feldom made, until the movement has gone on for fome time, in one uniform move- ment and meafure, and has been brought toa clofe more or lefs complete. Such changes, when fkilfully managed, enliven the mufic, furprife the hearer, and excite his attention. When, however, they occur very often, and at-fmall intervals, they never fail to perplex and confound. The hearer is kept in a - ftate of continual fufpenfe and uncertainty, and therefore can- not liften with fatisfaGtion. The French muficians, rather per- haps in confequence of fome fanciful theories, than from the fuggeftions of good tafte, or the experience of agreeable effect, hhave fometimes introduced frequent and fudden changes of movement and meafure into their pieces. Their example, how- ever, has not been much followed. How often, or at how fmall intervals, changes of meafure may be introduced into a mufical compofition, is a matter that is dificult to determine. It muit depend a good deal upon the tafte of men, and upon the habits which they may have formed. There is certainly, however, fome limit, within which fuch changes cannot be ‘made, without giving more uneafinefs than fatisfaction to the hearer. We may bear to be, in fome degree, offended a certain number of times, when fuch offence has the effect to ftimulate _ and furprife, and when it is quickly compenfated by fome ftriking beauty; but if the experiment is too often repeated, _ the end propofed will be defeated. The piece will become _ 4 motely affemblage of diflimilar and unconnected parts, and will 96 On RYTHMICAL MEASURES. will communicate no fentiment but that of ridicule or of difgutt. To change the meafure or the number of equal times in a bar, in the courfe of a fhort {train or rythmical claufe, has, fo far as | know, never been attempted by a modern mufician, and probably would not be tolerated. _And yet, if we are to believe the accounts, which have been tranfmitted to us by an- cient authors, this practice was not unfrequent amongft the muficians of Greece. The verfes, to which they adapted mutic, were often compofed of unequal feet, fuch as trochees and {pondees, which they refpectively confidered as meafures of three and of four equal times, and thefe occurring fometimes alternately ; and we are told that the mufic rigidly obferved the meafure of the verfes. If this was indeed the cafe, it is a fin- gular faét in the hiftory of mufic, to which perhaps no parallel has been found. After the many clear and exprefs teftimonies to the truth of that fact, which have been given by enlighten- ed authors, who were natives of the country, and who may ~ be fuppofed to have been well acquainted with, and to have had frequent opportunities of hearing that mufic, it may appear highly prefumptuous to exprefs the fmalleft doubt with regard to it. There are, however, fome confiderations which ftrongly incline me to indulge at leaft fome degree of {cepticifm, and to fuppofe that nature, perhaps without their confcioufnefs, might at times prevail over fyftem. I rorMeR-y obferved, that to count off alternate parcels of two and of three equal times, and thereby to form aggregates of five, is by no means impracticable; but that it requires an uneafy effort of the attention, and that both the performer and the hearer feel a ftrong defire to have the even number of fix times completed, either by a lengthened found, or by a filence. I may here add, that neither is it impracticable to form alter- nate parcels of three and of four times, but that, as the num- ber feven, the aggregate of thefe, is lefs agreeable and {fatis- factory, Ben ee ae en ee ae On RYTHMICAL MEASURES. 97 faétory, and lefs eafily comprehended than five, and as it is Nearer in proportion to eight than five is to fix; the defire of completing, by fome means or other, the number of eight times. will be ftill ftronger, and will not be refifted without a great and conftant effort of the attention, and even fome degree of force and conftraint. The difficulty will be much increafed, if the unequal meafures do not occur periodically in regular fucceffion, but are varioufly introduced in the courfe of different ftrains, without any fixed or permanent rule. In order that fuch unequal meafures may be expreffed with accuracy, it feems neceflary, that the equal times of which they are compofed, fhould be of fuch dimenfion as that they may be counted fin- gle. If they are too minute to be fo counted, it will probably be impoffible for the performer to mark with certainty, or for the hearer to perceive diftinétly, the proportion which fubfifts betwixt the contiguous unequal bars; as there is no common meafure or ftandard to which they may be referred, or by which they may be adjufted. It feems neceflary, moreover, not only that the beginning of every meafure thould be diftin@tly mark- ed, but alfo that every fingle interval of time fhould be render- ed obvious, either to the eye or to the ear of the performer. Un- lefs fome fuch affiftance is given to him, there is reafon to ap- prehend, that he will not always execute the different bars ac- cording to their prefcribed meafures. We are told, that this was done in the performance of the choral mufic of the ancient Greeks. The coryphzus, placed in a confpicuous ftation, marked the arfis and thefis of the fucceflive feet, while others ftruck with their hands, or with the points of their fingers armed with fome hard body, each fingle time of which they were compofed. If thefe fingle intervals were ftruck with per- fe& uniformity, and were regularly diftributed among the dif- ferent feet, according to their refpective meafures, we cannot avoid acknowledging, that, on many occafions, they did truly _ and accurately exprefs contiguous unequal parcels of rythmical Vat, II. N times. 08 On RYTHMICAL MEASURES. times. We can only fay, that they were at much pains to coun- teract a {trong propenfity of nature, in order to attain an object, the agreeable or happy effect of which we cannot now fo much as conceive. But it may be afked, how are we certain that thefe fingle times were always {truck in exact uniformity, or that the intervals marked by the ftrokes were in every cafe equal? It will poflibly be anfwered, that there was fufficient fecurity for this, in the {trong natural propenfity which all men feel to ex- prefs fuch {mall times equally and uniformly, when it is not their profefled intention to do otherwife. But furely the natu- ral propenfity to aflemble thefe times into equal parcels is alfo ftrong, perhaps, in fome cafes, ftronger than the other. When thefe two propenfities, then, are fet in oppofition to one ano- ther, it becomes a queftion which of them is moft likely to prevail. We are told, that, in the performance of the Greek mufic, the propenfity to the equable expreffion of fingle times prevailed, and that the parcels or aggregates of them were un- equal. It is certainly, however, not unnatural to fuppofe, that fometimes the other propenfity might preponderate, and that fome inequality might be admitted amongft the fmaller times, which were marked by the crepitacula, in order to bring the feet or parcels more nearly to equality. Thefe times and mea- fures were not marked by machines, fo conftructed that they could never vary, nor by perfons who had no thought nor con- cern, but to ftrike with the hand or fingers at equal intervals of time. The coryphzus, who regulated and conducted the per- formance, muft be fuppofed to have been a mufician of diftin- guifhed talents, and the fmaller times were marked by per- formers, who were keenly engaged in the bufinefs that was going forward, who probably founded every note of the mufic, and articulated every fyllable of the verfe. It has always ap- peared to me very wonderful and unaccountable, that the deli- cate ears of the ingenious and enlightened Greeks fhould not only bear, but even be delighted, with what a modern cannot “hear On RYTHMICAL MEASURES. 99 hear without pain and difguft ; and I would very willingly fup- pofe, that they made fome fuch accommodation as is hinted at above in the performance of their mufic, and that their feet or bars were fometimes unequal, more in theory than in pra¢tice. When we confider the rythmical conftitution of man, which, being a part of his nature, muft be fundamentally the fame, in all ages and amongft all nations; when we confider that thefe Greeks had a very lively feeling of the powers of rythm, and that they were accuftomed to have equal meafures frequently prefented to them in their moft popular compofitions; laftly, when we confider, that they had no written characters to repre- fent fome of the proportions which may enter into the fimpleft mufic, particularly that which is marked by the point in the modern notation, and therefore could have no diftiné percep- tion of thofe proportions, or rather might occafionally exprefs _ them, without being confcious of their doing fo; it does not feem impoffible, or even improbable, that their praCtice upon many occafions was not conformable to their theory, and that they might actually exprefs as equal thofe meafures, which, ac- _ cording to rule and fyftem, were unequal. After all, it is im- fured founds. poffible to fay, how far the power of habit may operate upon men in this as well as in every thing elfe. It muft be acknow- ledged, that there are various circumftances in the mufical fyftem of the ancients, befides the one that we have been now treating of, which we muft be fatisfied with contemplating and admir- ing at a diftance, without hoping fully to underftand them, or daring to imitate them. To conclude this part of the fubject, the laft deviation that can be made from regular rythm, is varying the length of the unit or fingle time in the fame bar. This has never been at- tempted in written mufic, and can hardly be done without al- moft entirely deftroying every impreffion of rythm or mea- N 2 THE 100 On RYTHMICAL MEASURES. Tue regular ftru€ture of rythm, and the progreffive devia tions from that ftru€ture, which I have above endeavoured to defcribe, have been chiefly confidered as taking place in mufic. The fame things, however, to a certain extent, may be found in poetry; and many of the obfervations which have been | made upon them may be exemplified from verfes, and may ferve to illuftrate fome particulars in their ftru€ture. A verfe is an aflemblage of words, which are fo arranged, as that the long and fhort, or the ftrong and feeble fyllables of which they are compofed, may, by their fucceflion, give a rythm, fuch as I have defcribed, more or lefs regular. It muft, therefore, be fo conftructed, as that the hearer may be led to form the equal or nearly equal times, which are marked by the fyllables, into certain parcels and combinations. The ancients feem in gene- ral to have confidered the time of a fhort fyllable, as the unit or firft element of the rythm of poetry. According to this fup- pofition, the feet will become analogous to the bars or firft par- cels in mufic, the verfe will be analogous to a combination or {train, and the ftanza, where it occurs, will reprefent the entire piece, which being finifhed, the fame rythmical air, as it may be called, is again Eee. The time in which a fhort fyllable is expreffed in reciting verfes, is often too {mall to be regularly counted and parcelled. If this is thought to be the cafe, the feet may be confidered as units, varioufly divided and articulated by the different fyllables which enter into them ; the verfe will then correfpond to a bar, and the ftanza to. a combination. Although, however, the time in which we utter a foot is fre- quently not greater than what we are difpofed to confider as an unit in mufic, yet, as itis always compofed of two or more fmaller intervals, and as we have frequent opportunities of hearing it prolonged in finging, fo as to fill up the time of a bar in mufic, we are hence rather more difpofed to confider the foot as a fhort parcel or bar, than as a divided unit. The for- mer On RYTHMICAL MEASURES. 101 mer analogy, therefore, will perhaps be the moft fimple and ob- vious, and the moft eafily applied. THE meafure of a verfe, or the number, according to which it is intended that the combinations fhould be formed, may be _ eafily intimated to the reader, by writing them in feparate lines. This contrivance, however, can be of no fervice to the hearer. Some other means mutt be ufed to direé his attention to the number propofed, or to make him ftop and begin anew, after that number of equal times has been exprefled. The very name of verfe implies a return. I formerly mentioned three different means by which this may be effected, namely, the re- turn of fimilar combinations and divifions of the times, or, in other words, the return of fimilar arrangements of long and fhort founds, the return of founds fimilar in kind or in quality, and paufes. All thefe means have been employed in conftructing verfes. Tue return of fimilar fucceffions of long and fhort fyllables _at equal intervals, naturally leads the hearer to account the times which have been expreffed during one of thofe intervals, as one parcel or combination. This fimilarity may either take place through the whole line, or only in a particular part of it. In the firft cafe, when each fingle combination is exaétly fimilar throughout, or, in the language of the grammarians, when every line contains the fame number of feet difpofed in the fame order, the return is abundantly clear and obvious, provided the fucceffion of long and fhort, or of ftrong and feeble fylla- bles in the meafure, be in any degree diverfified. We have an example of this in the afclepiadzan verfes of the ancients, Such meafures feem to have been confidered by them as deficient in variety, and proper only for fhort pieces. Horace has been very fparing of them. Of all his odes, there are only fix, in which every line is {canned by the fame feet taken in the fame order. When the cadence of the line, or the arrange- “ment of the fyllables, is fuch as to ftrike the hearer, or engage his. 102 On RYTHMICAL MEASURES. his attention, the frequent repetition of it, like the frequent re- petition of a {hort mufical ftrain, can hardly fail to be in fome degree irkfome and difgufting. The other cafe, in which the fimilarity takes place only in a part of the line, is more con- fiftent with variety. We have the moft diftinct impreffion of a return, when the fimilarity occurs at the end of the line. Of this we have a {triking example in the common hexameter verfe of the ancients. The dactylus and fpondzus, recurring regu- larly at equal intervals, neceflarily leads the hearer to confider thofe intervals as diftin€@t combinations of equal times, although the fame feet be difpofed in the other parts of the meafure in every pofiible way. The iambus recurring at the end of iam- bic verfes, when diftin€@tly pronounced, will give fome im- preffion of a combination, when the rythm in the other parts of the line is very irregular. Other inftances of the fame kind will readily occur. Sometimes the moft ftriking fimilarity takes place in the middle of the line. The daétylus, in the middle of the fapphic verfe, feems to have the chief effect in forming the return of that meafure. WueEn the return of the verfe, or the impreffion which the hearer has of diftinét combinations, is to depend chiefly upon fuch fimilarities, it is neceffary, that the cadence in that part of the line in which the fimilarity takes place, be marked, and eafily diftinguifhable from that of the other parts, or that the verfe be made up of fome diverfity of feet. When lines run uni- formly by the fame, or nearly the fame feet, as in trochaic and iambic verfes, no fuch diftinét recurrences can happen. In this cafe, fome other means mutt be ufed to give the hearer the impreflion of a combination. A very gentle hint will incline a hearer to count off fuch feet by combinations of the fmaller even numbers. For this, little more is neceflary than to write them out in feparate lines. The tones of voice, with which a perfon is difpofed to read lines of fuch even meafure, are often fufficient to direét the hearer to the number according to which they - On RYTHMICAL MEASURES. 103 they are formed. ‘This effe& is more certainly obtained, when the verfe is made to confift of an uneven number of fuch feet, together with an additional fyllable or cefura. As it is thus deficient of the even number by one fyllable, the reader is na- turally difpofed to fill up the time of that fyllable, either by paufing at the end of the line, or by prolonging the laft or the penult fyllable. In either way, he conveys to the hearer a very diftinct impreffion of the meafure. Such catalectic verfes, as they are called, occur frequently in the works of the ancient poets. Verses of the trochaic and iambic kind are often compofed of fome uneven number of feet, without fuch additional fylla- ble. Our common Englifh verfe of ten fyllables is of this form. In this cafe, there feems to be no rythmical means of giving the hearer an impreflion of the meafure, but paufing a little at the end of every line. Such uneven meafures naturally infer a paufe. If the reader, while reciting a line, catches the idea of regular pairs; he will be difpofed, by refting at the end of the line, to complete the time of his laft pair. This, how- ever, is attended with inconveniencies. The hearer is made to depend for his.impreflion of the combination, chiefly upon the accuracy of the reader. If the latter neglects to make the pro- ~ per paufes, the former may lofe this impreffion, and may be - equally difpofed to form combinations of any other number. Qn the other hand, when there is no grammatical ftop at the end of the line, when a claufe of a fentence is continued from _ one line to another, fuch paufes are ungraceful ; the reader, if _he is more attentive to the fentiment than to the rythm, always makes them with reluGtance. In fuch cafes too, to mark the end of the line by a particular inflection of the voice, is very improper ; and it is difficult to obferve paufes without making fuch infleGtion. THEsE inconveniencies feem to furnifh objeCtions to our Englifh: * blank verfe, which is exactly of the nature that I have been de- fcribing:. . ‘104 On RYTHMICAL MEASURES. {cribing. This perhaps cannot with ftri€t propriety be called verfe; it wants one of the effential charafters of verfe, a di-_ {tinct return. The feet indeed mark times, which may be ex- prefled as equal; but there is no circumftance in the rythm to lead the hearer to form thefe times into combinations of any one number in preference to another, befides the mere artifice of writing the intended combinations in feparate lines. It is impoflible to read it, fo as to maintain in the hearer the impref- fion of the combination, without often doing violence to the fenfe, by feparating words which ought to be united. One may be eafily fatisfied of this, by reciting the firft fentence of MittTown’s Paradife Loft, in which almoft every line terminates in the middle of aclaufe. In reading fuch paflages, the paufes muft often be omitted, and the meafure facrificed to the fenfe. This verfe, however, if it may be called fuch, has been thought to be of all others the moft proper for poems of confiderable extent, upon fubjects that are great and dignified: The feeming imperfections, which have been ftated above, are perhaps the circumftances which contribute to render it fo. The alternate fucceflion of long and fhort, or of ftrong and feeble fyllables, which generally takes place, gives a fmoothnefs and a regular flow to the language, which fufficiently diftinguifhes it from profe, while, at the fame time, it does not folicit the attention fo ftrongly, as to render frequent repetition difguftful ; and the deviations which are occafionally made from that arrangement, give a variety to the cadence, and often a very happy expreflion to particular paflages. The proper meafure of the verfe, or that which feems intended by the poet, is often obfcured, and even changed, by the different breaks or divifions which occur in the lines, and by the continuation of grammatical claufes from one line to another. The unequal combinations of the feet, however, which are thus formed, like the obfcure and unequal combinations of the bars in an extended piece of fe- rious mufic, both give a variety, and add a dignity and folem- nity ts mre lag lie S| I a ie . . On RYTHMICAL MEASURES. 105 nity to the movement, which it could not poflefs, if the combi- nations were always diftinét and equal; and the frequent oc- currence of lines, in which the meafure of the verfe is clearly marked, prevents the hearer from lofing fight of it, and alfo communicates additional pleafure from the contraft. This mode of compofition feems thus to unite the freedom, variety and energy of profe, with the foftnefs and elegance of verfe. In lines of fuch uniform cadence, there is no means more fimple, or more effectual for giving the impreffion of regular combination, than the return of fimilar founds. When two contiguous verfes, of equal times, are terminated by one or more fyllables of the fame or nearly the fame found, the hearer can find no difficulty in adopting and going along with fuch combinations. This contrivance has been called rhyme. It is faid to have had its rife from a corrupted tafte during the ages of ignorance and barbarifm. It {till continues, however, to be practifed by the beft poets, who write in the modern languages ; and perhaps the conftitution of fuch languages does not afford a better means of conftructing regular verfes. In poetry, verfes may be formed according to the model of what I called regular and perfect rythm, fo as to give the im- preflion, not only of equal parcels and combinations, but alfo of diftinét aggregates of thofe combinations. When fuch ag- gregates confift of two fingle combinations, they are called couplets, when of more than two, they get the name of ftanzas. We are led to form fuch aggregates by the fame means, by which we are led to form the fingle combinations, namely, by the return of like cadences, by paufes and by rhyme. When two contiguous lines rhyme together, we have the impreffion of a couplet; when the alternate lines rhyme together, we form a combination-of four. The fame impreflions may alfo be conveyed by other means more purely rythmical. When the lines are all equal, and made up of the fame or equal timed feet, and the ftanzas confift uniformly of four or eight Vot. Il. O : lines, 106 On RYTHMICAL MEASURES. lines, we have then a rythm perfectly regular, correfponding to the minuet or march time in mufic. Such regular ftru€ture is not always obferved. In the higher kinds of lyric poetry, it is thought to be inconfiftent with that freedom and variety, and a check to that fire and enthufiafm, which ought to cha- racterife thofe compofitions. Accordingly, the writers of lyric poetry have departed the fartheft of any from this regular ftructure, and have indulged themfelves in almoft every kind of licence. The lines, of which ftanzas are compofed, may often confift of an unequal number of fyllables, whilft the times employed in reciting them are ftri€tly equal, the defi- ciency of the fhorter ones being compenfated by paufes, or by lengthened founds. Sometimes, however, the inequality is fo great, as to render fuch compenfation impracticable. Such un- equal lines, like unequal combinations in a mufical air, when properly introduced, may communicate a {pirit and variety to the ftanza, and give ita more marked and ftriking conclufion. The adonian verfe, coming after three fapphic lines, gives an agreeable variety and a graceful clofe to the ftanza. Amongft the ancients, there are few or no inftances of ftanzas, confifting of more than four lines. The moderns, by the help of rhyme, are enabled to form larger and more variegated ftanzas. So long as all the lines of a ftanza are compofed of the fame or of equal timed feet, the rythm may be confidered as in fome degree regular. Thus the hexameter and the falifcan verfe form an agreeable couplet. Laudabunt alii claram Rhodon, aut Mitylenen, Aut Ephefum, bimarifve Corinthi. The elegiac couplet is of the fame kind. The pentameter verfe is indeed confidered as an uneven combination. When, how- ever, it regularly divides into hemiftics, the paufes, which we are difpofed to make at the cefuras, fill up the whole time of the On RYTHMICAL MEASURES. 107 the hexameter. Trochaic and iambic verfes may be combined into couplets in the fame manner. When the trochaic verfe is catalectic, the deficient time at the end is made up by the firft fyllable of the fucceeding iambic, and the whole combination proceeds as if it were trochaic. Non elbur, ne|que aurejum Me|a re|nidet | in do|mo la|cunar. The latter of thefe two combinations being uneven, the reader will be difpofed to paufe at the end of it, during the time of an entire foot, and will be gratified, when the ftru€ture of the fentence permits him to do fo. The paffion for variety, how- ever, could not always be confined within this limit. In the works of the ancients, we meet with couplets and ftanzas, of which the different lines are compofed of different and unequal timed feet. This is a further departure from regularity. It is _ like varying the meafure of the bars in a piece of mufic. One of the moft ftriking examples of this is, when couplets are formed of hexameter and iambic verfes. Although fuch li- cence may not have the fame difagreeable effect in poetry, that it often has in mufic, it feems at leaft to give an impreffion of incongruity, which is probably heightened by the conftant re- currence of the different meafures at ftated intervals. The fo- Iemn and majeftic movement of the hexameter does not feem to affort well with the airy flippant pace of the iambic. After pronouncing the latter, a perfon requires fome time to recover j _ that firmnefs of tone and manner, with which he is difpofed to pronounce the former. The 16th epode of Horace is com- pofed in couplets of hexameter and fenarian iambic verfes, and is the only inftance of this meafure, which occurs in his works. In this piece, the contraft is very ftriking. The even lines _ throughout the whole of it are pure iambics, which have a more rapid movement than thofe which are mixed. The verfes Oz of 108 On RYTHMICAL MEASURES. of the Phaleucian form may be confidered as fhort couplets of the fame kind. A FARTHER deviation from regularity is when fuch unequal timed feet are admitted into the fame line. The mixed iambic and trochaic verfes of the ancients furnifh us with the moft remarkable inftance of this. I formerly ventured to exprefs a conjecture, that in the performance of the mufic, which was adapted to verfes of this kind, the ancients, by fome means of accommodation, of which they were not diftinétly confcious, might occafionally exprefs as equal thofe contiguous feet, which, according to rule and fyftem, were unequal; in other words, that they fometimes departed from the proportion of two to one, which they eftablifhed as fubfifting betwixt the long and fhort fyllables of words. It feems {till more probable, that they did this when reciting fuch verfes. It is indeed difficult for us to conceive how they could do otherwife. In finging, they might be affifted in exprefling thofe unequal meafures with accuracy, and even, in fome degree, conftrained to do fo, by feeing the arfis and thefis of each foot diftin@ly marked, and hearing the fingle times uniformly ftruck; but they could not always have the fame affiftance, when reciting. The time of a fhort fyllable might be counted and parcelled, when exprefled in the continuous and more extended tones of mufic ; but this could fcarcely be done with eafe and certainty in common fpeech ; and, without this, it is not eafy to difcover, how the proportions of thofe unequal feet could be accurately exprefled or perceived. I fhould, therefore, be apt to fuppofe, that the propenfity to equal parcels -or meafures of fyllables would pre- vail, as it might be gratified almoft infenfibly, and as there ap- pears to be nothing of fufficient force to counteract it. ‘It is often difficult to determine exactly the proportional quantity of contiguous fyllables, or to lay down any particular proportion as invariably fubfifting betwixt them. We can fometimes arti- culate three, perhaps even four fyllables, in our own language, in On RYTHMICAL MEASURES. Tog in no longer time than we employ in exprefling one fyllable in the fame fentence. It would be rafh, however, upon perceiving this, to affert, that the one fyllable was in quantity triple or quadruple of the others, as in different occurrences, or in different arrangements of the fame fyllables, the proportion might be varied. We can, with great eafe, contract or extend a fyllable, when we wifh to make it a certain component - part; or the whole of a determined interval of time, upon which we have fixed our attention. It is hard to fuppofe, that in the Greek and Latin languages, which are compoftd of the fame fimple elements with ours, no proportion fhould fubfift betwixt contiguous fyllables, but that of equality, or that of two to one, or fome obfcure or ill defined proportion approaching to thefe ; _and itis ftill harder to fuppofe, that thefe proportions were conftant and invariable, in every fituation and occurrence. THE trochzus and {pondzus might be rendered equal in reci- tation, either by contracting the latter to the time of the for- mer, or by extending the former to that of the latter. The one or the other of thefe praétices might be adopted in different cafes, according to the different ftructure of the fyllables of which the feet were compofed. That there was a tendency to prolong the trochzus, we are almoft inclined to believe, from the firft fyllable of that foot being regularly placed in the ftrongeft and moft emphatic part of the meafure. It is well known, that in conftruéting mixed trochaic verfes, the tro- chzus was made to occupy the firft, third and other uneven places ; the even places were occafionally filled with {pondzus, or other feet of four times. In iambic verfes, again, the even’ places were kept facred to the iambus. If, however, we confi- der the firft fyllable of thefe verfes as introductory, and fuppofe the meafure to begin with the fecond fyllable, which we are. much inclined to do, we reduce them to trochaics, in which alfo the trochzus will be regularly found in the uneven places of the meafure. It b 8 fe) On RYTHMIGAL MEASURES. It is not always fafe indeed to reafon from general principles. and analogy upon matters of fact, more efpecially when fuch reafoning appears to be contradiéted by pofitive teftimony. I therefore offer thefe conjectures with diffidence. The accent and manner of pronunciation of the ancients being now irre- coverably loft, we have no means of having the matter fub- jected to*fenfible demonftration. All that we can fay is, that if they did in fa& pronounce thefe unequal feet in their juft proportions, and were confcious of doing fo, they poffefled a power of combining very fmall intervals of time into unequal parcels, to which perhaps no parallel can be found in modern days. z 4} IV. On certain ANALOGIES obferved by the GREEKS in the Ufe of their LutTTERS} and particularly of the LETTER ZITMA. By ANDREW DALZEL,M.A. F.R.S. Epin. and Profeffor of Greek in the Univerfity of EDINBURGH. {Read by the Author, Dec. 19. 1785, and Nov. 19. 1787] ZN 2 OD UG.T JOAN, HE power of pronouncing articulate founds is one of the moft obvious marks which diftinguifh man from the other animals. No philofophical inveftigation is neceflary for pointing it out, and therefore it has not efcaped the notice of the poets, the moft ancient of all authors. In the works of Homer and Hesiop*, we often meet with the expreffion péeores cvbeuros, men having an articulate voices the word peeo being evidently compounded of eign, to divide, and. op, the voice F. But * Vide Iliad. ¢, 250. y', 492. o', 288. de. Oper. & Dies, 109, 142. Awnacrzon has alfo made ufe of the fame epithet, but without the fubftantive; Od. III. 4. + Ase 70 Memegerpcevny ayer Thy ora, fays Hesvcutvs, voce wiporic. In which Surnas agrees. Evsraruius is more explicit. Mégowés of avOgwror, maga ro Quces mrurercmerny exes any Gra cis ve Atzete nae cig cuAAaBas nal eis sorgsiac, D pendepla Tis BAAN Eyes Porn rape thy Tov avbporoy aidyy. Men are called wipoxts, from their naturally having their votce divided into Words and Syllables and Elements, a quality which no voice poffeffes, except haman Speech. Ad Iliad. 2, 250. The Bifhop adds, That “ thofe of his own facred fociety, “ the interpreters of holy Writ, derive the word from the divifion of tongues which “ took place at the building of the tower of Chalana,”’ as he calls it; which etymology _ Erasmus has alfo taken notice of in his Dialogue de reéta Latint Grecique Sermonis pro- nuntiationés 112 ANALOGY of GREEK LETTERS; But although man is plainly poflefled of this faculty of ar- ticulation, or pronouncing diftinct fyllables; yet the analyfis of thofe fyllables into their conftituent parts, or fimple ele- ments, or into what the Greek writers call sovyéa, muft origi- nally have been a work of immenfe ingenuity. Perhaps it would even have been impracticable ever to have made a com- plete analyfis of this kind, without the invention of vifible figns for denoting each of thofe elements. Nor hath any fort of figns, fymbols or characters been found fo proper for that purpofe, as thofe which we call Letters. Indeed, it feems im- poflible to comprehend any other vifible mode of analyzing words into fyllables, and fyllables into fimple elements, than that which is furnifhed by letters. For though we can con- ceive language to be, in fome degree, conveyed by marks of imitation ; as when, in exprefling an elephant, we fhould fet down the figure of that animal: yet we could never analyze fuch a reprefentation, fo as to convey any idea of the different fyllables in the word elephant, or of the elemental founds of any of thofe fyllables *. INDEED, the fignificant founds of a language, even confider- ‘ed each in the aggregate, and without any refolution into its conftituent nunizatione. But of this derivation, Damm, in his Lexicon, juftly fays, ‘‘ Id pié magis “quam veré.”” Evsrarmivs has farther obferved, ‘‘ That certain birds are called “ uégomic 3” thofe, no doubt, he means of the parrot kind. But thg manner in which thefe poflefs the faculty of articulation, forms but a very flight exception to this cha- raéteriftic of human nature. Human articulation was defined by the Stoics as follows: Darn EvagSeos xk ame diavoras txaemopern, Sound articulate, and proceeding from Sentiment. See Harais’s Hermes, p. 322+ * Even Dr Wirxtns’s Real Charaéter, which he has, with fuch aftonifhing labour, invented, is not calculated to give any idea of fyllables or elemental founds ; and there- fore, in order to complete his fcheme of an univerfal philofophical language, he has likewife invented two alphabets, one of which he calls a Natural CharaGer ; this being neceflary for the exprefling of proper names, according to his projet. See 4n Effay — towards a real CharaGer and a philofophical Language, by Joun Wixxins, D. D. Dean of Ripon, and F.R.S, (afterwards Bi/hop of Chefter.) Lond. 1668. fol. © j Particularly of the LETTER S1TMA. 113 eonftituent elements, can be but very imperfectly exprefled by figures of imitation ; becaufe there is of thefe founds an im- menfe variety, which cannot poflibly admit of any fuch vifible exhibition *. Thofe conventional figns, which we call letters, are the only proper and complete mode of denoting fimple ele- mental founds, and their infinite variety of combination in fyllables and words. For although the alphabet of no one lan- E “guage contains a fufficient number of letters to exprefs every pof- ‘ fible modification of articulated found ; yet the letters compo- _ fing the feveral alphabets of thofe written languages with which we are acquainted, efpecially the ancient Greek and Latin, have been found fufficient for denoting all the requifite elementary founds in thofe particular languages f. __Lerrers are called by the Greeks yeéppara, a word whofe etymology is evident; for if yeagw fignify to write, yedpmupu mutt fignify a thing written, that is, a letter, or written charac- ter, denoting an clement of articulate found {. The ori- ' Vo1. I. P ginal ua “* Sex an excellent account of the difference betwixt imitative and fymbolic language, by the Jate Mr Hagais, fupported by quotations from Greek authors. Hermes, Book Ill. . Chap. 3. Py + Dr Wirxrns has endeavoured to fhew the defe&ts in common alphabets, as to the true order of the letters, their juft number, determinate powers, fitting names, proper figures, dc. Effay towards a real Charaéter, &c. Part 1. Chap. v. And he has exhi- _ bited a table of fuch fimple founds as he thinks can be framed by men, with a twofold in- ftance of a more regular chara¢ter for the letters, together with feveral other curious particulars. Part Ill. Chap. x. xi. xii. xili. xiv. After all, he concludes as follows : _“ Thefe thirty-four letters, before enumerated, will fuffice to exprefs all thofe articulate ~ founds, which are commonly known and ufed in thefe parts of the world. I dare not “ be over-peremptory in afferting, that thefe are all the articulate Sounds, which either are, or can be in nature; it being as impoflible to reckon up all fuch, as to determine “the juft number of Co/ours or Tafes.” wi iB _ £ Tus etymology of the Latin word Litera, is not fo well afcertained. See ScaurcEr de Caufis Ling. Lat. Lib. 1. Cap. 4. Ammonis the Grammarian thus defines the dif- _ ference betwixt yeu and satyeiov. Tectppece Lroingeis diaPégete Lroiyeoy yey yp iow n ixQae ; Yan 5 0 Qbayyos, 370 yectu pce est onpeciov n Ux OK phote Tedupe differs from TOLLE Oe For “‘s0iygoy is the enunciation and the found, of which ypepua ts a fign or type or Jigure. De . ‘affinium vocab. differenti, voce yeéuwa, ubi vide que annotavit vir dottiflimus Lun. Casp. 114 ANALOGY of GREEK LETTERS; ginal fignification, however, of yeégw was not precifely what we now mean by the expreflion ¢o write. In the earlieft times of the Greek language, it meant fo carve ; and as the moft an- cient method of writing was to carve fome fort of figures upon tables of wood or brafs, which was exprefled by yeagew, (as we learn from Homer *), that verb remained in ufe to exprefs the Caspr. Vatcxenaer. ArtsTorte gives the following account of an element. Eroryeéioy piv By iss Dah cdvaigeros* B xiicu >}, WAN EE hs wee cuveTn yiveck Qo. 1 yd Trav Sagion cist ADicchgeros Qavecd Sy BDepicey Atyw sorydiov. An Element is an indivifible found ; not every in- divifible found, but from the compofition of which an intelligible found (or word] is natu- rally produced. For the cries of wild animals are indivifible founds, but I call none of thefe an Element. De Poetic. cap. xx. See alfo Dionys. Halicarn. de Compof. Verb. cap. XIV. et Prato in Cratylo. Vol. I. p.426. Edit.Serrant. See the Stoic defini- tion of an element, quoted by Mr Harars from Diocenes Larertius: Hermes, Book III. ° chap. 2. But though yedyye and cliyédoy are clearly different, the one fignifying a let- ter and the other an element, they are frequently confounded by the Greek writers ; the fign being often taken for the thing fignified. Accordingly, Dionysius the Thracian, in giving the etymology of the words, has confounded their meaning. Tpdgeuare Jb Atyeras Oia 7d yeappoets next Evowais tureck. ypérbas 70 Boas mage vols maraions, Os nab mae” “Ounpie (Wiad. a’, 388.] Ta Bb abre wah oroiyaa xararas Oe To EXE OTOL OY Té¥ee Hy THE. They are called yecuyura, on account of their being formed by lines and incifions : for ygaxpas, among the ancients, fignified to make an incsfion, as we find from Homer, [lliad. a’, 388.] The fame are called croyeiz, becaufe they are arranged according to acertain progreffion or feries. Ars Gramm. apud Fazricium in Biblioth. Gr. Vol. VII. p. 27. Nor has Tuzopore Gaza attended to the diftinétion in his definition, though it is, in other refpects, extremely accu- rate. Apurioy OD vous awe +8 eure, obay TAY OToIYEwre TadTe p n meurn ek G&pnepns tots. T ae Seon Quan, & yap ws PrUyey TUTAEKETeCh CAAKADIS eis oloTacw GVAAaGIC, GAA” ws nab rBvoyace one nol, orehyer te > ebrdxtws xvdusie mus ovvrdocsras nord doyor. Perhaps we /hould begin with the firft, viz. the Elements. For they are the firfl and indivifible voice of man ; not be- ing conneéled together at random, to produce the compofition of a fyllable ; but, as the name imports, arranged ina rational manner, advancing ina certain fertes and regular order. Grammat. Inft. Lib. 1V. Paiscran has remarked this confounding of an ele- ment and a letter: ‘‘ Abufivé tamen et elementa pro literis et liter pro elementis vo- “© cantur”? Lib. I. In moft cafes, however, no great inconvenience arifes from the negleét of this diftinction. % [ieume Ot pay Aveinrde, wepev 3° bys oxara Avyed, Tedtbas tv mivaxs mrunty SupoPQee worard. Iliad. ¢’, 168. which, tranflated literally, runs thus : He /ent him into Lycra, and he moreover gave him deftruftive figns, having carved, upon a folding tablet, a variety of them fatal to his hfe. The poet is fpeaking of Paosrus, who fent Betreroruon into Lycia with this fatal tablet, Particularly of the LETTER SITMA. 115 the more commodious method of writing which was afterwards invented. _ In whatever part of the world, or at whatever time, the ufe of letters took its origin, (for I do not mean at prefent to enter upon that inquiry *), it cannot be denied that it is one of the moft admirable of all human inventions. That we fhould be able, by means of twenty-four vifible charaéters, to denote the various thoughts of our minds, uttered by articulate founds, fo as not only to convey them to perfons abfent and at a di- ftance, but even to tranfmit them to pofterity, muft, if it did not, as fome fuppofe, proceed immediately from the Deity, be confidered as the moft eminent of all the improvements which human art has yet made of thofe powers which he has been pleafed to beftow upon our fpecies t. P 2 INDEED, tablet. We have no authority to tranflate oyware, Letters, or yedspaus, having writen, _ as is generally done. Indeed, no where in the poems of Homer, do we find any part of the fimple verb ygé?0, except here, and in the s9ggth line of the 17th book of the Iliad, _ where yeas): occurs; and there it fignifies to wound, or to make an incifion, being applied ___ to what the fpear of Porypamas did to Penexaus the Beeotian. Its compound irsyecQw "indeed is found four or five times, and always fignifies to raze or graze the fkin with the _ point of a weapon. But neither yee nor soydov are to be met with in Homer, nor does he any where make mention of Letters or writing by any terms whatever. For eux, which occurs fo often, can {earcely ever be faid to fignify what we mean by a Lefter: And hence an argument has been adduced, though not by any means a decifive one, againft Homer’s knowledge of the art of writing, or the ufe of letters. But this is an invefti- gation which cannot properly be. introduced in a note. See what the late Mr Rozerr Woop has written upon this fubject in the laft fection of his Efay*on the original Genius of Homer. Lond. 1775. 4to. " ® Sex a fhort but elegant Differtation, printed at the conclufion of the 2d Vol. of ; -Havercamr’s Sylloge Scriptorum qui de Ling. Grac. vera et recta pronuntiatione commen- tarios reliquerunt, entitled, De Fenicum Literis, &c. Guinu1eLMo Poste.xo Barentonio audiore. See alfo Harris’s Hermes, Book Ill. ch. 2. + ‘ La communication des pensées par I’Ecriture, n’eft guéres moins admirable que * celle qui fe fait par la Parole. Ce ne fut apparemment qu’apres bien des meditations _ et des effais multipliés, que degouaté des difficultés, des ¢quivoques, des obfcurités, des © bornes trop etroites de Pécriture hiéroglyphique, l’inventeur de V’ecriture littérale re- ** connut 116 ANALOGY of GREEK LETTERS; INDEED, the faculty of fpeech itfelf, not to mention the va- rious arts and fciences, could not have been brought to any confiderable degree of improvement, without the affiftance of written language. Without this, the knowledge of one age of the world could not have defcended diftin€tly to another, and confequently mankind mnuft, in a great meafure, have loft thofe advantages which they derive from the accumulated experience of former times. THE variety of languages, however, both written and fpoken, which takes place in the world, has been matter of regret to thofe who have confidered the fubje@ particularly ; and it has been wifhed, that a method of {peech, capable of being conveyed by writing, had been invented, which man- kind, at leaft in every polifhed nation, might have been able univerfally to adopt and to underftand. But the diftribution of the world into fo many different kingdoms and nations, feems to render the introduction of an univerfal language among mankind quite impradticable*. For although men poflefs ¢ connut le nombre aflez petit des fons élémentaires, et comprit qu’en les repréfentant “ par autant de caractéres diftin&ts, on pourroit combiner ces caractéres comme les fons . wils repréfentent ; ce qui conftitue en effet q ie ia Cet art ingenieux © De peindre la parcle, et de parler aux yeux 5 “ art merveilleux, qui fixe 4 jamais la parole et la pensée qu’elle exprime, qui porte «© Pune et autre aux abfents, qui les fait pafler 4 la poftérité la plus recilée, et dont on “ peut dire avec vérité et fans reftri€tion, ce que dit M. Drperor d’un idiome qui di- _ “ yiendroit commun A tout le genre humain: [Encycfop. au mot Encycropepie.] que ‘* par fon moyen, /a diflance des temps difparoft, les lieux fe touchent, il fe forme des liaifons * entre tous les points habités de Ve/pace et de la durée, et tous les étres vivants et penfants “© Sentreteennent.? Grammaire Generale, &c. Par M. Beavzze. Tom.I.p.2, See alfo Crceron. Que/t. Tufe. Lib. 1. and. Witxins’s Effay, &c. p. 10. * Tur ingenious, laborious and truly admirable effort of Dr Wizx1ns, to invent and: eftablifh an univerfal charaéter and philofophical language, has only tended to fhow more ftrikingly the impracticablenefs of fuch an attempt: At leaft, however feafible his project may appear, his method ftill remains unemployed by the learned ; and as for the vulgar, it is quite beyond their comprehenfion. Particularly of the LETTER 3ITMA. 117 poffefs univerfally the fame organs of fpeech, and, by means of thefe, the fame faculty of uttering articulate founds; yet the manner of exerting thofe organs, fo as to produce a parti- cular language, being quite arbitrary, is a work, at firft, of ac- cident, and then of gradual improvement, and which cannot be carried forward, even by the help of writing, without a fre- i quent intercourfe, and a fort of mutual convention among the ‘individuals of that fociety, who find * for their advantage to adopt fuch a language *. But an intercourfe adequate to fuch an end cannot take place beyond a particular nation ; therefore an univerfal living language cannot poflibly fubfift: For, ac- cording to an obfervation of D’ALemsert, “ There is nothing, _“ either in nature or in reafon, which determines an object to “ be defigned by one found more than by another.” To which BreauZeeE adds, That “ there is nothing m nature or reafon “ which determines a found to be defigned by one letter more: “than by another +.” Accordingly, a variety of different tongues: _ * Tue inhabitants of fome nations, fays M. pu Marsars, employ certain organs, and’ even certain parts of organs, of which others make no ufe. There is likewife a particu- lar form or manner of exerting the organs, &c. ‘ Il y’a des peuples qui mettent en: “« action certains organes et méme certaines parties des organes, dont les autres ne font “ point d’ufage. Il y’a aufli une forme ou maniere particuliere de faire agir les organes. ** De plus en chaque nation, en chaque province, et méme en chaque ville, on s’enonce *« avec un forte de modulation particuliere ; c’eft qu’on appelle accent natzona/, ou accent “© provinciale.”” Encyclop. au mot Consonne. + * Sr, comme le dit l’illuftre Secrétaire de l’Academie Francoife, 7/ n’y a ren: “ dans la nature ni dans ta ratfon qui détermine un objet a étre defigné par un * fon plutot que par un autre; on peut dire avec autant ou plus de vérité, qu’il n’y a * rien dans Ja nature ni dans la raifon qui détermine un fon 4 etre defigné par une lettre “€ plutét que par une autre.”? Gramm. Generale, par M. Brauzee. Tom. IL. p. 179. See alfo p. 233, 234. 9 Dr Wixgws indeed has endeavoured to contrive a fet of characters, which, in their fhape, have ‘‘ fome refemblance to that configuration which there is in the organs of fpeech upon the framing of feveral letters”? Upon which account, he thinks, fuch an alphabet may. deferve the name of a natural charaéer of the letters. Efay, &c. p. 375. But here he has not been very fuccefsful ; and indeed he feems himfelf to prefer another alphabet, which he has alfo fet down, although it has no fuch property, and yet is, as he confefles, “ more facile and fimple.” 118 ANALOGY of GREEK LETTERS; tongues has prevailed ever fince the early ages of the world; and fuch of them as have ceafed to be fpoken would have foon perifhed, had they not been committed to writing ; by which means, fome of them have furvived the wreck of nations, and the other viciflitudes of human affairs. Of thefe, though their genuine pronunciation be now, in a great meafure, loft, we are ftill able, after a confiderable degree of pains, not only to under{tand the meaning, but even to perceive the beauties ; and, among the various forts of inftruétion which they convey, we derive from them many effential advantages in improving and polifhing our own language. To none have we been more indebted in thefe refpects, than to the language of the ancient Greeks. As this is acknow- ledged, by all who have ftudied it, to be the moft perfect *; fo the analogy perceived from an attentive obfervation of its ftructure, even in the moft’ minute’ parts, is of all others the moft complete and beautiful. Whence the Greeks borrowed. their alphabet, which they ufed with fuch fuccefs, I am not here to enquire. That it did not originate with themfelves, is univerfally agreed among the learned f. But it is no lefs cer- tain, * Sex Mr Hararis’s elegant encomium of the Greeks and their language, of which he was the great and rational admirer. Hermes, Book III. Chap. 5. Alfo, Dr Grecor¥ Sarre, in the Preface to his Origin and StruGure of the Greek Tongue. + Ir is the uniform opinion of ancient authors, that the Greek alphabet at firft con- fifted only of fixteen letters. which were imported out of Pheenicia into Greece by the celebrated Capmus. [See Heropor. Terpfchor. cap. 58. “Puurarcn. Sympo/. lib. Q. Iren. lib. 1. cap.12. Lucan. Phar. lib. III. See alfo, Dr Witxins’s Effay, p. 11-] Thefe fixteen letters, called Kaduntx yezuuarx, and fometimes cxwara Kadue, were the two fhort vowels with the three ancipites ; the three fmooth and the three intermediate mute confonants; and the four liquids, with the folitary Evyue. Patamenes is faid to have added the three afpirated mutes, and the double confonant 5, at the time of the Trojan war. And Simonipes is fuppofed afterwards to have invented the two other double confonants and the two long vowels. See Monrravucon. Pa/eogr. Gr. p. 115, 116, 117. And fee an enumeration of the authors who have written on this fubje& in Tueoparct Curistorn. Hanes Introd. in Hit. Ling. Gr. Proleg. p. viii. feqq. Alten- burg. 1778. 80. Particularly of th LETTER ZITMA. 119 tain, that wherever they got the firft fketch of an alphabet, they improved it very much, not indeed inftantly, but gradu- ally, till they brought it to that ftate in which we now fee it, in the twenty-four different characters whereof it is com- pofed *. To point out completely the analogy which the Greek wri- ters obferved in the ufe of each of thofe letters, would lead into a very wide field. At prefent, I propofe only to enquire particularly into the nature and principal ufes of one of them, I mean the Siypze. This, being the fign of a fingular fort of found, has been ufed, in the ftru€ture of the Greek tongue, in a manner different from every other letter; and therefore the Grammarians have generally allotted to it a fingular place in their arrangement of the different component members of the Greek alphabet. It will be impoflible, however, to treat of the Siyue, without making mention of certain circumftances incident to the other confonants. ri Pin AriRoyrol, Wy PAE letter Size was commonly fo called by the inhabi- i tants of Greece, its iflands and colonies, except the Do- . rians, who, as we learn from HERoDorTus, gave it the name of 3%}. Dionysius of Halicarnaffus alfo mentions this ¥ Doric _* Canuistratus, the Grammarian of Samos, is faid to have arranged the Greek al- phabet in the order in which we now find it, when Evcripzs was Archon of Athens. See Fosrer’s E/fay on Accent and Quantity, p. 41. 2d Edit. $ Acgites ply vd ody xartaos, "Iwnes de olypa. Lib, I. 120 ANALOGY of GREEK LETTERS; Doric name *; and ATHEN#us further obferves, that Aris- TOPHANES, in his comedy of Zhe Clouds, has called thofe horfes who had this letter branded upon them, Yepu@ogas fF. It has been by fome thought abfurd, that the letters, which are the figns of elemental founds, fhould be called by any other names than the mere founds which they denote. It may be faid, however, in favour of the Greek names, that they always begin with the letter whofe power they denote; and it is a good practical rule in grammar, to fay, “ That the power of “ each letter may be known by catching the initial found of the “ name {.” In fpeaking particularly of the letters, it is ne- ceflary to have a diftin@ articulate name to give to each of them, becaufe the mere power, efpecially of the mute confo- nants, can fcarcely be uttered without a vowel; and if the af- fiftance of a vowel be employed in uttering them, then you give them a name fomewhat different from their real power, and more likely to lead into error. Witn refpect to the elemental found of which Siype is the fign, there is no doubt that the Greeks ufed that letter to exprefs precifely what we denote in Englifh by the letter S in fauch words as the following, fame, defignation, diftre/s. This we learn from a diftiné defcription, which Dionysius of Hali- carnaflus has given of the pofition and effort of the vocal organs in the pronunciation of this letter.. “ The 3iyua, fays ‘* he, is pronounced by an appulfe of the tongue to the palate, * while * He mentions it as (6 called by Pinpar. De compoftione Verborum, Se. 14. of which more afterwards. 4+ Aruznxus, p- 467. Edit. Commelin. See alfo Isaac Casaus. Animadverff. in Aruen. Lib. X. cap. 21. ZapPépas is evidently compounded of Edy and Pépw* » being . always » before 7, 8, ?, which will be remarked more particularly afterwards. See Anristoruanis Nubes, 122. 1298. Edit. Brunck. Argentor. 1783. + Livers cujufque vis intelligitur ex initiali fono nominis. Moor Elementa, L. Gr. , p: 2 Particularly of the LETTER ZIPMA. 121 while the breath ruthes through the middle part of it, and emits a gentle and conftriGed fibilation about the teeth ey _ The name itfelf is evidently derived from sila, to bift; and from the hiffing found of which it is the fign, it has been ri called the ferpentine letter. Some have even fancied, that varj- __ ous fhapes of the ferpent have been copied in the different forms it has aflumed T- The forms moft commonly in ufe, are two _ for the large or capital letter, thus 5, C, and three for the {mall _ one, thus ¢, (, ¢, of which the laft is always final, the other two initial or intermediate t. In order to comprehend more diftin@ly the ufe of the Zrywe, it will here be Proper to take a fhort view _ of the other confonants. We Vor. IL Q. THE 1 ay ee Bt lec, Beis tl tS [e /» »@, 0 How are the femivowels divided? Into three forts, “ double confonants, immutable confonants, and «. How ma- “c ny ee * Effay towards a real CharaGter, 8c. ps, 363. and 366. + Tiv & cupParav, TH pet nptPaavee, choy C. Be te Ae He Me GM Sv Bernd piv 0. &. Ye dpilaGore BE i Syed Av fa Mo Ee Turop. Gaze Introduétionts Grammatice libri lV. fol. 3- Ba/fil. apud VALENT- Curtonem. 8vo. t Vide Dionysit Thracis Art. Grammat. Extat in Fas. Biblioth. Gr. Vol. VIL. p- 26. § Vide Constantini Lascarts Grammatice Compendium, p. 2. apud Payium Manv- nium, Avni F. Venet, 1557- 12m oy atte frog a dpe eee 8 P32, Particularly of the LETTER S\TMA. 124 * ny are double? Three, Z 2, ~. How many are immutable? “ Four, which are alfo called liquids, a, uw», e@*.” The re- maining nine confonants are called mutes by all the gram- marians: Of which three, to wit, 7, ,7, are termed WwaAc, fmooth ; three, to wit, 9, y, 3, are ducéa, rough, or denfe; and three, to wit, 6, y, 0, are wicuw, intermediate; in fuch a manner, that each fmooth one has an intermediate and a denfe one to correfpond to it, which three are faid to be of the fame rank, becaufe they nearly refemble each other in the manner in which the vocal organs exert themfelves in pronouncing them ; the firft rank z, (, ?, being /abial, the fecond z, y, y, being fa- latine, and the third -¢, 3,4, being dental, as is well known to every one who has the fmalleft acquaintance with the princi- ples of the Greek tongue. ARrisTOTLE has defined, with his ufual acutenefs and precifion, the difference betwixt a vowel, a femivowel anda mute. “ A vowel (fays he) is that which, “ without any allifion of the organs, hath an audible found, as wand». A femivowel is that which, with an allifion, hath an audible found, as « and ¢. A mute is that which, with an allifion, hath by itfelf indeed no audible found, but is audible in conjunction with the vowels, as y and 0 f.” I am fenfible that the arrangement of the confonants by the Greek grammarians, has not been approved of by fome late writers on the fubject of grammar; and there is no doubt but another might be fhewn which would feem better adapted to Q2 the Etc wien Siarekvrat ra Oxasmra cipPwyx 5 cis OUD, ets uePuvee nar APave, meow yplOave 3 “ “ “ «ec sxe 6, %, by Ay He, %) 0, oe cis worm Diaxigdvrar re dnd nplOwva 5 ig Tein, cts DiMA, eis dere Corn, 5 TO clypa. more dimre; Tein, & 2, pe more dpirdbcra 5 Ticcapa, ce i Dyed Azyorlas, a, #, % e Emanvetis Curysororare Gr. Gram. Inflitutiones. Ven. apud Jo. Farneum et Fratres. 12mo. Paginis defunt numeri. F Est OF Qartey ptr, Aver mpocGorrs exov Qwvhy dxuclar chor, 73 @ xh w. “HyuiPasov Os, rd nile meorbons eqyov Quay aneorny® choy, 70 oy nak TO ee "ADavoy oy To pete mporboring nad aito piv BIenicey Exov Qavny, were OF ray exsvrau tive Pavay ywoucver axBoras olov, Tey nal 72 dO Tlegt Tloinr. Keg, x’. 124 ANALOGY of GREEK LETTERS; the natural order of the elemental founds, and the affinity fub- fitting among certain claffes of fuch founds. All fuch as are labial, for inftance, might be clafled together, whether mutes or femivowels, as 6, 4,7, ? ~~3 all fuch as are dental, to wit, Ge, o3 all fuch as are lingual, to wit, 0, 4, a,», 73; and all fuch as are palatine, to wit, y,%, vy, And accordingly this has been done by HutEewicz, one of the beft modern writers on Greek grammar *. But this he has propofed, without re- jecting the ufual arrangement, which he knew to be fo im- portant in examining or explaining the ftructure of the Greek tongue. For though a divifion and arrangement of that fort might anfwer the purpofe of a minute anatomical or phyfiolo- gical inquiry concerning the organs of fpeech, yet as this was not the circumftance chiefly attended to by the Greeks in the progrefs of their language, though they did not by any means neglect it, we muft adhere to that other diftribution by the: grammarians, if we would wifh to comprehend clearly the real ufe of the Greek letters. There is, for inftance, no doubt that » is a labial confonant, as well as z, B, or g* and in faé the Greeks in fome meafure attended to this, as will be after- wards fhewn; but the ufe of » asa liquid, and its partaking in this refpect of the fame analogy with A, », e, was a connection, much more ftriking, and much more attended to in the prac- tical application of the Greek alphabet f. In the cafe of the: nine mutes, it is of very great confequence to confider how,, 1m, %* See Avex. Gasr. Worutyn Hurewrcz, nobilis Poloni, Tnfiitutiones Ling. Grace, p. 14. Lugd. Bat. 1746. 4to. M. Beavzee, an ingenious French Grammarian, has alfo. propofed a very minute arrangement of the letters, according to an idea of this kind. See Grammaire Générale, ou Expofition raifonnée des Elemens neceffaires du Langage.. 2 tomes, Paris, 1767. 8vo. See allo Bi/hop Wirxins’s Effay, &c. p. 357+ + ‘ Appellantur Lrquiva, quod poft mutam pofite quafi liquefcentes ac evanef- « centes, vim confonantes interdum amittant, neque vocalem pracedentem longam effi- “ ciunt, ut ali confonantes.”? Anresicnanus apéd Cuenarpum, p. 3- Hanovia, 1617. 4fo. Particularly of the LETTER SI1TMA. 125 in the infletions, and in certain other fyllabic combinations, each of the letters which compofe the different ranks changes its place occafionally with one of its own rank, and not with that of another; and in the cafe of the liquids, how, if any one of them occur in the nominative of a noun, it muft re- ‘main unchanged in the oblique cafes; and if it occur in the prefent tenfe of a verb, it muft remain unchanged in the fu- tures; from whence the liquids have alfo got the name of topereore, immutable ; likewife, in the cafe of the double con- fonants, how each of them is occafionally refolved into the mute of which it is compofed, and ciyuzc. All this might be fhewn primera, and at great length. But I return to the Biypa. In treating of the Greek characters, fome diftinguifhed mo- dern grammarians have not paid due attention to this letter. GretseEr, the Jefuit, in his arrangement of the confonants, has affigned no place to it at all*. He does not even mention it as one of the femivowels, although it be evidently entitled to. that diftinGion. LawnceLot, author of the Port-Royal Gram- omar, at a lofs, it fhould feem, what to do with it, has clafled it, awkwardly enough, with the double confonants. ‘ Although * the Xiyua, fays he, be the only one of its own fet, we may “ neverthelefs join it with the double confonants, not only be- _“ caufe it forms one of their conftituent parts, but alfo becaufe “ they all refemble it, by being fibilant in the pronuncia- “tion f.” Other grammarians, particularly CLENaRDus, AN- “TESIGNANUS and HuteEwicz, have judged much better im taking the hint from the Greek writers. already quoted, efpecially * Inflitutiones Ling. Gr. Ingoldfladi, 1605. 12mo. - # “ Quoique le ¢ foit feul de fa bande, nous pouvons neanmoins le joindre avec les ** doubles, non feulement parce qy’il en fait partie, mais aufli parce que dans leur pro-. “ nonciation elles font toutes fiffantes comme lui.”? Nouvelle Methode pour appendre: . Sactlement la Langue Greque, Paris, 1754. 8v0». 126 ANALOGY of GREEK LETTERS; efpecially EMANUEL CurysoLoras, and allowing the Siype to be a femivowel ; but perceiving that it is neither a liquid, nor a double confonant, nor a mute, they have called it /itera /olita- ria, et fue poteftatis, vel fui juris ; the folitary, and the ab/olute or independent letter ; the letter which poffeffes a fingular and independent power, nowife fettered by that relative analogy to which the other confonants are obliged to fubmit. That is to fay, there has been a fingular found obferved to fubfift in the Greek language, expreflive of a great many varieties in the ‘changes and inflections of words independent of certain other clafles of changes and infleGtions ; and that fingular found has been denoted by the 2iyuza. For it is certain, that languages were ufed previous to the invention of letters, though they mui{t have been very rude in that early ftate. But they would afterwards be much refined by thofe very letters, the ufe of which muft doubtlefs have fuggefted' many eflential improve- ments, which would not otherwife have been thought of. Now, upon what grounds the Ziyue is entitled to an ex- emption or diftin@tion, fuch as I have mentioned, it may be worth while to examine. The inquiry will tend to fhew the great ufe, and indeed abfolute neceflity of fuch a character in the alphabet of this moft exquifite of all languages. Dr Samuet CLARKE, one of the moft acute and ingenious of all the commentators, has, in a note upon the word siaucce, at the beginning of the thirteenth book of the Iliad, men- tioned a probable reafon, in his opinion, why the ancients held the Siyya to be /ue poteftatis. “ Mésuooe, fays he, mutt “ certainly be written with a double «, becaufe the fecond fyl- “ Jable of sauce is fhort. It may, however, (continues he), be ‘ queftioned, whether the more ancient Greeks made ufe of “ that mode of writing. For when they called ¢ an arbitrary “ letter, perhaps they meant, that whereas the letters @ 2 “ are neceflarily double, and all the reft of the confonants ‘* fimple, ¢ alone has this peculiarity, that, in a great many ‘* places, . Particularly ofthe LETTER SITMA. 127 “ places, efpecially the aorifts of verbs, it may be pronounced. “ either as a fimple or a double letter *.” This reafon is inge- nious; but, upon examining it narrowly, it does not appear to be fatisfaGtory. Indeed Dr Crarxe himfelf does not feem quite fatisfied with it, and offers it only as a conjecture. There is no doubt, however, of what this accomplifhed fcholar has elfewhere + fhewn, that the penult of the firft aorift of fuch a verb as weAaZm is fhort, but that the poets, as Homer has fre- quently done, may make it long, by doubling the ¢, or rather by reftoring the ¢, which had been thrown away in the forma- tion of the firft future {. Nor is it improbable, that when the ‘poems of Homer were firft committed to writing, the « was fet down fingle, even when the verfe made it requifite to pro- nounce it double. It happens, however, that this privilege of being occafionally doubled, is not peculiar tothe c. We find, among the poets, other confonants, mutes as well as liquids,. frequently in the fame fituation. Thus, "Org tpas’ EAAciver D6 yewr nat ereidero wow |]. And . ad ry 4 Tov wat vreAAciran wanoges Seoi, 80 Fedqoay §. Here: + miracot.| “ Ita jam fcribendum, neceflarid ; quia 7Aece fecundam corripit. Dubitari ‘‘ tamen poteft, utrumne Greci antiquiores ifto modo feripferint. Nam quumz, /ue po- “ teflatis hteram dixerunt, haud {cio an hoc fibi voluerint ; literas ¢, 2, .y, neceflarid qui- « dem duplices effe ; confonantium reliquas omnes, /mplices ; unicam autem ¢, ifttufmodi % effe, ut permultis in locis, ac precipue in verborum Aorittis, /implex dupléxve ex xquo pronunciari pofit.” Ad Ifad. y', 1. + Vide ad Wiad. é, 140. §', 432. $ Accorpine to the rule, which direéts, that, in verbs not liquid, the firft future fhould arife from the prefent, by inferting a + before w, xsadQa, which is the fame with maddow, would have in the firft future readro, or m:Aadcow. But a fpecial rule directs, that before » we muft, in the future, throw away +, 3, 9, 2, which makes that tenfe of middlw to be meadow" hence the firft aorift ¢x:adce, to which reftore the rejected ¢, and it becomes éweadcoa. Vide Moor Element. L. Gr. p. 128.. ] liad. @, 33. § Ibid. 2, 406. 128 ANALOGY of GREEK LETTERS; Here the d is double in ewe and ortdeoev, that ede may bea f{pondee, which it could not otherwife have been. We find the y alfo frequently doubled, as 0, 7 *, inftead of 6,7. In which cafes, it is fully as probable, that in the early copies of the poems of Homer, fuch words were always written with a fimple } or +, as that zéAaez, and others of the fame fort, were always written with a fimple « Sometimes we find e, contrary to the rule by which it is faid to be always doubled after the fyllabic augment, (as pizra, épperrov), written fingle by the poets: thus, éppeZe, in the imperfect from péZs, is written firft fingle, and then double, in the following verfes : "Anrros 0 ddrw tele Seay aieryereraav fT. "Oi 0 ex eppeCe Asos xeon weycrou ft. In the firft of thefe lines, 0 daa e- is a dactyl, in which the », one of the furd diphthongs, is fhort before the firft fyllable of 22, by a well known practice of the poets. Nay, we find, that even in the modern editions of Homer, the liquid a oc- curs written fingle, when the verfe requires it to be pronounced double, which Dr Cuarke himfelf, with his ufual acutenedfs, has fhewn to be the cafe in the exordium of the Iliad. “Hedw», adres 0 erwerce revy.e avvecow— where tae muft be pronounced as if it were written ‘Ardea, ric 0: being here a fpondee. After all, it muft be owned, that > is much oftener doubled by the poets than any other confo- nant. Indeed, no confonant but itfelf admits of being doubled in the penult of the firft aorifts |. THERE * had. #, 294. + Ibid. 6’, 400. $ Thad. ‘, 532. In fome editions, tééee is written 725 in the firft aorifl, which an- fwers the prefent purpofe as well. | In the middle voice it is the antepenult. Particularly of the LETTER SiVMA. 129 THERE are, however, feveral other grounds on which the claim of this letter to'the appellation of /olitary or independent, may be fupported. I. 3IPMA alone of all the confonants employs its power in affifting the mutes to make up the double letters. Thus, any one of the labial mutes 7, or ®, or @, aflifted by oc, makes)‘ any one of the palatine mutes, x, ory, or -y, affifted in the fame manner, makes £* and any one of the dental mutes, r, or 8, or 3, with the fame help, makes @. In the cafe of Y and &, this is evident from the mode of refolving thofe double letters in the inflections, efpecially in the oblique cafes of nouns of the imparifyllabic declenfion. ‘Thus, in the cafe of ~, we perceive that AainaL, procella, is the fame with Aaidwws, becaufe its ge- Nitive is AasAares’ that” Ago), drabs, is the fame with "AgaBe, becaufe its -genitive is "Agaos* that xar7anp, /cala, is the fame with zernaids, becaufe its genitive is xarfipos* and in the cafe ‘of £, we perceive that xogaZ, corvus, is the fame with xogans, be- caufe its genitive is xoganos* that Pack, flamma, is the fame with Prdys, becaufe its genitive is Prdyos’ that ove, ungula, is the fame with dwys, becaufe its genitive is ovvyec. But the fame analogy in the cafe of 2 is not fo eafily traced ; and indeed the critics and grammarians, who have written in Greek, do not even af- fert that @.is equivalent to d, but towd*. Their reafon feems to have been, that they never obferved,@ refolved into two fim- ple confonants, except in the Doric manner, as yeAicdw, inftead of psrida, modulor; todo, inftead of of, olco. The learned Huewiczieven denies that Z is a donble letter; ‘ becaufe, “ (fays-he) it never is equivalent to two confonants, like and “ )° for if & were a double confonant, it would occur in the “ termination of Greek words, as well as @ and », which it mo. (i. - R ““ never “Vide Dionys. Hal. ag? cvv9, dou. 10’. Dronys. Thracem apud Fasaictum in Biblioth. Gr. Vol. VII. p. 28. Tuzop. Gazar Grammat. fol. 24. ‘Thefe are followed by Cienarnvs, dc. 130 ANALOGY of GREEK LETTERS; “ “ww never does *.” But, in anfwer to this, it may be faid, that the argument againft @ being a double confonant, becaufe it never terminates a word, cannot be admitted, as it is no where afferted, that to be a final letter is abfolutely neceflary to the ex- iftence of a double confonant. But, granting this to be the cafe, @ may in faé& be faid, as well as and W, to be a final let- ter, if the following circumftances be properly attended to. It is obferved by Hutewicz himfelf, as well as other grammari- - ans, that the dental mutes +z, 0, 6, are thrown away before o. This happens evidently in the formation of the firft futures of verbs: thus, rirrw, verbero, not rurrew in the future, but rica, which is written rio" dw, cano, not adow, or «fw, but dow" many, impleo, not rrA7Iow nor rA7~e, but zayow. One reafon for this feems to be, that if zs, or dc, or 9s, had been permitted to remain in the firft futures of verbs, they muft have produced é, and this would have confounded the termination of thofe futures with that of the prefent tenfes of a great many verbs in @#, and thus have given rife to a great ambiguity in the cafe of prefent and future tenfes ; an inconvenience which the Greeks carefully avoided, and in the prefent inftance the more willingly got rid of, becaufe the throwing away of +, 0, 3, before o, grati- fied an antipathy, which the Grecian ear, during the progrefs and refinement of their language, feems to have conceived againft the combination of thofe confonants + ; for it isevident, from the analogy of certain genitives which end in oc, dos and Soc, that, in the early times of the Greek language, a great many nouns terminated in 7, 05 and 4c, which is the fame with terminating in @° thus, AéByrs, or aAcGnZ, by rejecting the =z before ¢, be- comes. * Inflitut. Gram. p. 13 + Aworuer reafon is, that, in many verbs, it would produce too great a concourfe of confonants. See this illuftrated above, p.127. note f. a ke st ns < ~ Particularly of the LETTER S1TMA. 131 comes AéGys, /ebes, but ¢ remains before o in the genitive, AgGnroc* Agpraes, Or Adura?, by rejecting the d before ¢, becomes rAdu- aac, lampas, in the genitive Adéperedos dense, or ced, by rejecting 8 before ¢, becomes cenc, avis, in the genitive dguSe¢*. Farther, it may be inferred, that is equivalent at leaft to 3, from what happens in ‘the formation of the fecond future of fuch verbs as 6%. For as rérrw hath in the fecond future ruza, by throwing out the 7, which is the latter of the two confonants, the former being the chara¢teriftic of the tenfe ; fo 02w (ddew) hath oda, by throwing out the «, which is the latter of the two component confonants in @, the d being properly the characteriftic of the tenfe. In the fame manner, ¢ea@w (Qecdew) hath Qeads, and &@w (dew) hath da. But that @ was confidered by the Greek writers as a double confonant, may be clearly evinced from this, that, like the other two, 2 and WJ, it obliges a vowel immedi- ately preceding it, though naturally fhort, to be long by pofi- tion, as is well known to all who have the fmalleft acquaintance with Greek profody. It may be concluded then, that 2 is not only a double confonant +, but is equivalent either to rs, or ds, or 3¢, though the general practice of the Greek writers was to ‘reject 7, 0, 3 immediately before «, or to fet down ¢ in moft cafes where the general analogy requires @, and this, it fhould feem, in order to produce a found more pleafing to the R 2 ear. * Sometimes 7 is thrown out betwixt x and <, after which the xs coming.together muft make a thus, ents, Bas, ane, rex, Gen. avaxros, where the & is refolved into xs, and the 7 is reftored. See a moft ingenious Differtation, afcribed to the late learned Mr Jex. Marxxanp, entitled, De Grecorum Quintd Dechnatione Imparifyllabica, ‘et inde for- mata Latinorum Tertia, Queftio Grammatica. Extat cum Editione alter4 Evrrerprs Dra- matis Supplicium Mulierum, quam Londini excudebat dottus typographus Guu. Bowyer, nuper defunctus, ejufque difcipulus J. Nicuots. 1775. _. + Tue other arguments adduced by Huzewicz. to prove that is not a double confo- nant, do not feem to have any weight. Vid. Inflitut. Gram. Gr. ubt fupra. 132 ANALOGY of GREEK LETTERS; ear *. iywa, therefore, not only lends its. affiftance to the den- tal mutes, in order to form @, but even frequently occiniee the place of @, the component mute being rejected. II. SIMA is the only confonant whofe power is employed in the formation of the dative plural of the imparifyllabic | declenfion ; and this is done by interpofing it immediately be- fore « of the dative fingular : as, pare, orator, Dat. Sing: przoge, Dat.. Plur. pavogos. So xoguk (xigang), corvus, D. S. xogeems, D. P. xéganos,, which is xogukir pack (parcys), flamma, D.S. progr, D.P.gacyor, which is prods Bug (Bays), tuffis, D.S. Bays, D. P. Canyon, which is Bz. So alfo ab (ars), aculus, D.S. da, D. P.. dren, which is. air "Agaal. ("Agu Bc), Arabs, D.S. "Agafi,D, P. "Age Bor, which is "Agadir xargran) (xarnris), fcala, D. 8. xacnrms, D. P. zarnripas, which is zarqrnbn Alfo, daig (duirs), epulum, D. S. dari, D. P. not dumoi, nor Iii, but dui, becanfe z, 3,9, are thrown. away before o. Adwaas (Adpaads), lucerna, D.S. rdpe rads, D. P. not acuradcs, nor Adumads, but Adpracs ogni (gnidg)y D. S. deuS1, D. P. not devitor, nor dguds, but cent ts , IL. In * Ir deferves to be remarked, that one of the liquids, vz. », is alfo thrown away be- fore ¢ of the’ nominative, and reftored agam in the genitive: Thus, uéac:, meer; fon wérasc, has,,in the genitive, Axes. From fome! nominatives,, both. » andz are thrown away, and reftored in the genitive : thus, y'yas for yiyarts, Gen. yiyxrros* and they are again thrown away before ¢ in the dative plural, which isnot y/yasrct, but yiyzo. And when, in the prefents of verbs, y and 2 occur together; they are both thrown away before cw of the future: thus, xvAidw, voluto, xvaiow, evidently for the fake of a more pleafing found.. Vid. Moor Elementa L. Gr. p. 128. : Wiru refpeét to what Hutewicz afferts about the final ¢, in nouns of the third declen- fiom being changed’ into 0,9, »,7, in the genitive, as. tes, ds, Gen. feidoct dgnic, avis, Gen. @guSoc* pérac, niger, Gen. pidavos” xapic, gratia, Gen. yéprros~ this arifes from his. not having obferved, with Mr Marxxanp, that the full nominatives of thofe words are}, Zerde, Gens, ufrave, yapsrs* and that ¢ is not changed into the above mentioned confonants,. but that thefé having been thrown. away in the nominative, euphonie cau/a, are reftored in the genitive, where that reafon no longer takes place. See above, p. 130. + In the dative plural, » is alo. thrown. out, asi rome, paflor, D. S. xoren, D. Pe mosstors. Other changes are. made inthis cafe in certain. nowns. euphonie gratia, but. is always: inferted, r Particularly of the LETTER S1TMA. 133 HE. Iw the formation. of the Greek verb, where a fyftem of the moft beautiful kind may be traced, the fingular or peculiar _- power of Xiu is very confpicuous. ‘ bp. It is always the charaCteriftic of the firft future, in verbs that are not liquid, a {tation which it maintains without arival. Thus, im pure verbs, ria, bonoro, ricw, Xvw, folvo, Avow, rinow, bonoro, rijrw, Pirew, amo, Pikjow, rAAeow, impleo, rXnedow" im mute verbs, rAzxw, plico, xxénow, which is rhééw, Pedyas fugio, Pedyow, which is d, ' ay. © s ‘ ‘ - hae x te ~ ~ t Qyopameroinras dt 4 Aig waee thy Te NYY iiornTa, xara BieMoW THs Paviis Homer abounds in inftances of *Ovouaromore, as is well known. Vox. II. U V. V. Account of th GERMAN THEATRE. By HENRY MACKENZIE, Efq; F.R.S. Epin. [Read by the Author, April 21. 1788.] O country perhaps affords a more interefting literary fpe- culation at prefent than Germany. For refearches in {ci- ence and philofophy, for laborious inveftigations into the prin- ciples of public polity and law, fhe had long been confpicuous ; but, till very lately, fhe made fcarce any pretenfion to fame in the other departments of literature, which ufually precede thofe more abftract and laborious purfuits I have juft mentioned, Even in hiftory, her writers were few; but of poetry, and belles lettres, {carce a trace was to be found; and of the very little of either, which the authors of that country produced, the language in which they conveyed it, was a foreign one. But of late, Germany begins to exert herfelf in the more ele- gant walks of literature, with an uncommon degree of ardor 3 and in her literary afpect, fhe prefents herfelf to our obfervation in a fingular point of view, that of a country arrived at ma- turity, along with the neighbouring nations, in the arts and fciences, in the pleafures and refinements of manners and fociety, and yet only in its infancy with regard to writings of tafte and imagination. Thefe, however, from this very circumftance, fhe purfues with an enthufiafm, which no other fituation could perhaps have produced ; the enthufiafm which novelty infpires, and which the feverity incident to a more cultivated and critical ftate of literature does not reftrain. Since the time of HALLER (who, by an extraordinary combination of talents, united the deepeft ACCOUNT of th GERMAN THEATRE. 155 deepeft abftraction: of fcience with the eafe and pleafantry of the lighteft poetry) and of Geriert, the La Fonraine of Germany, that country has thrown into the circle of literature a greater variety of produ¢tions in poetry and belles lettres than any other nationof Europe. While other countries have been applying themfelves chiefly to moral, phyfical and geographical enquiries, Germany, remounting as it were to the fources of ancient infpiration, has given to the world works of that crea- tive fort, which are feldom produced in thofe later times, when fancy and imagination give place to the fober certainties of é Pp Weience and” philofophy. Among thofe works of imagination, it is fufficient to mention feveral epic poems, one of which at leaft, the Mefiah of Klopftock, is of the moft acknowledged and - tniverfal reputation. Tue language of Germany, however, has not yet attained, as thofe who know it inform us, that perfection and regularity neceflary to ftamp the higheft value on the productions com- pofed in it. Its currency, for the fame reafon, is far from extenfive ; and therefore the original German works are {carce read at all beyond the circle of the empire. French and En- _ gilifh tranflators, particularly the former, have made up to ftrangers the lofs which this would otherwife have occafioned ; _ and few books of any merit now appear in Germany, that are not republifhed in the French language by the bookfellers of Paris. . OF thefe, one of the moft remarkable, and, from its nature, __ one'of the moft interefting, is the Theatre Allemande, or a Col- leGtion of the moft approved theatrical performances of Ger- many, tranflated into French by Meflrs FrigpEt and pz Bon- NEVILLE, which is rivalled by another collection of the fame kind, though not hitherto fo extenfive, by Meflrs JunKer and Lizsautt ; both tranflations, as far as one may judge from intrinfic evidence, are executed with fidelity and ability. U2 As 156 ACCOUNT of th GERMAN THEATRE. As the drama of every country marks more ftrongly than any other of its productions, the features, both of its genius and of its manners, I thought I fhould afford a not unaccepta- ble piece of information to this Society, by giving an account of thofe publications, accompanied, as it naturally muft be, with fome remarks on dramatic compofition in general, ‘arifing from the particular obfervations excited by the works in que- ftion. Neither that account, nor thofe remarks, will pretend to: completenefs or regularity. Written amidft a variety of other occupations, with but little leifure either of time or of mind, I only mean them as prefenting to the Members of this Society a {ketch of fomething that merits the further enquiry of the induftrious, and which, as an amufement, will well repay the time which the unemployed may be induced to beftow on it. Ir appears by a preliminary difcourfe, prefixed to Mr Frig- DEL’s tranflation, fomewhat contradiéted, but without much effect, by the preface of Mr Junker, that it is only at a very late period that the theatre of Germany has arrived at any de- gree of perfection. In the year 1727, GorrscueED, profeffor of Philofophy in the Univerfity of Leipfic, undertook a re- formation of the German ftage, till that time funk in a ftate of barbarifm. But he gave only tranflations of French plays, with one or two miferable originals.of his own, long fince for- gotten. It was not till between the years 1740 and 1750, that any performance of merit appeared, or that actors of eminence (with very few exceptions) feem to have exifted to perform them. About that period, the celebrated Eckuor, the Roscius of Germany, began his theatrical career, in which he continued to delight his countrymen till his death, which happened in 1778, a year remarkable in the annals of the ftage, fince it de- prived the world of three of its. greateft actors, Le Kain, Garrick and EckHor. Besrpezs the low ftate of polite literature in Germany before ehat period, of which I have taken notice above, the fmall ex- tent ACCOUNT of the GERMAN THEATRE. 157 tent of each individual ftate muft neceffarily have obftruéted the progrefs of theatrical exhibition. The eftablifhment of a ‘good theatre is too expenfive for the limited revenues of the {maller potentates, among whom great part of Germany is divi- ded. At Vienna, Berlin and Drefden, there were theatres fupported at very confiderable expence ; but thefe, I believe, were deftined for the opera. This would indeed naturally be the cafe, where the entertainment was meant for the Court. Dramas that ‘roufe the paffions, that fhake the foul, afford pleafure only to the body of the people; the great and the fafhionable relith much more thofe fpecies of entertainment which gratify the finer fenfes, or amufe the lighter fancy of the indolent and the voluptuous. Mufic and dancing, or mufical dramas which include both, are always their favourite amufements. Tue progrefs of the German ftage muft have alfo been con- _ fiderably impeded by the circumftance of the language being fo different in different parts of the empire; and in fome of them fo degraded in the fatois of the country, as of courfe to make French the common language of the better fort of people. _ In the year 1747, Lesstnc, whom the Germans regard as the chief of their dramatic authors, produced his firft comedy at Leipfic; and from this time downwards, a variety of au- thors of genius contributed to form and to eftablifh the thea- trical tafte of Germany. Their attempts, however, feem ftill to have been obftructed by the particular fituation of the coun- try. No capital, like Paris and London, united or rewarded their efforts. The King of Pruffia, from whom one would have looked for literary patronage, had always a prepoffeffion for French, and a contempt for German literature. We find him therefore beftowing high honours on Le Karn, who acted occafionally on a French theatre eftablifhed at Berlin, but never - interefting himfelf about the eftablifhment of a German flage. Tt is pretty remarkable, that the mufes of the empire found protection, 158 ACCOUNT of the GERMAN THEATRE. protection and fupport chiefly from. perfons engaged in com- merce, the firft theatres of any eminence being built by the merchants of Leipfic and Hamburg. After the conclufion of the laft war, however, the theatre appears to have received confiderable encouragement. at Vienna, Berlin, Manheim and Drefden. Asourt this period, the tafte for fentimental and pathetic writing began to be wonderfully prevalent in Germany. The works of STERNE, and feveral other Englifh authors of the fame clafs, were read with the greateft avidity. I remember to have been told of aclub or fociety, inftituted at fome town in Germany, whofe name was taken from the /uuff-box, which forms a ftriking incident in the celebrated ftory of the monk in the Sentimental Fourney: The Poems of WiELAND, GESNER, Weisse, te. are full of the moft refined fentiment and fenfibi- lity ; and the celebrated: Sorrows of WERTER of Goethe carries. thofe qualities to that enthufiaftic height, which has fo much captivated the young and the romantic of every country it has reached *. This prevalence of highly refined fentiment feems commonly the attendant of newly-introduced literature, when letters are the property of a few fecluded men, and have not yet allied themfelves to the employments or the feelings of fo- ciety. The fame thing took place at the revival of letters in Europe after the long night of the middle ages. . The Platonic love of the ancient romance, and of the poetical dialogue of the Provencals, was the produce of the fame high-wrought and metaphyfical fentiment, which is the natural refult of fancy and feeling, untutored by a knowledge of the world, or the intercourfe of ordinary life. We are not therefore to wonder, if, amidft what we might be apt to term refinement in point of fentiment and expreflion, we * Soon after the publication of that little work, it became a badge of fafhion among the young men of Germany, to wear as a uniform the drefs which Wenrer is defcribed as having on in one of his interviews with Cuartorre. ACCOUNT of the GERMAN THEATRE. 159 we fhould find in thofe German dramas, a difregard for the re- gularities and the decorum of the ftage, which is confidered as marking a very rude ftate of the dramatic art. Such difregard, in effect, fome of thofe dramas exhibit in a remarkable degree. The fcene is fullied with murder, and disfigured with madnefs, as often as that of the ancient Englifh tragedy. And in one of the plays of this collection, in: point of tendernefs and paffion, a performance of very high merit; Acnzes BERNAU, the heroine of the piece, is executed on the ftage in a manner as repugnant to the delicacy or dignity of theatrical fituation as can well be imagined, to wit, by being drowned; and one of the executioners is exhibited, pufhing her down into the wa- ter when fhe attempts to fave herfelf. Tuis difregard of rule, and this licence of the fcene, are attend- ed with many unfavourable, and yet perhaps with fome fortunate effects. The rules of found and\liberal criticifm certainly pro- duce, in the hands of great ability anid genius; the moft exqui- _ fite and delightful, performances. Yet there ‘is a certain reach of genius, which they may reftrain from,éxertions that might fometimes accomplifh very valuable productions. There are moments of peculiar warmth: of imagination and felicity )of language, which, in the coutfe of a work where fancy is in- dulged beyond the bounds of rigid critical rule, a writer may experience aboye the level of his ordinary powers. Without an attention to the critical regulations of the: drama, VOLTAIRE would not have written fuch admirable tragedies; but, from the reftraints which the neceflity of that attention impofes on the theatre of France, that theatre is loaded with thofe thoufand infipid plays which every year at Paris are exhibited and for- gotten. The monotony of the modern French drama may fairly enough be imputed to that nicety and faftidioufnefs of a French audience, which will not fuffer any irregularity, though fanétioned by nature, or dignified by genius. I mean not by this to plead for any indulgence to a licence their ftage has lately 160 ACCOUNT of the GERMAN THEATRE. lately affumed in point of moral bienfeance, which is equally unfavourable to excellence of compofition and to decency of manners. The fame remark might be extended to our ftage, were it not now funk to fuch a ftate of degradation as hardly to be worthy of notice. TuE collection of the German theatre by JUNKER, contains, befides Sara Sampfon, which is common to both publications, three tragidies, fix comedies, a drame and a paftoral. That of FRIEDEL confifts of twelve volumes, containing twenty-feven dramatic pieces, of which thirteen are tragedies, nine are called comedies, and five drames, a {pecies of performance for which’ we have not yet got in Englifh a very definite term. It holds a fort of middle place between tragedy and comedy, borrowing from the firft its paffions and fentiments, from the laft the rank of its perfons, and the fortunate nature of its conclufion. Tus fort of drama was for fome time extremely popular in France, and was thence adopted into the theatres of England and Germany, but particularly into the latter, where it feems to have been peculiarly adapted to that turn for high-wrought fenfibility, which I have before mentioned as having become a fort of national tafte in that country. Indeed, moft of the comedies of thefe volumes might be claffed under this denomi- nation. . TuereE are three hiftorical plays, one of which, of the higheft popularity in Germany, is Goetz de Berliching, founded on the hiftory, or rather indeed detailing the hiftory, of a chief of that name, in the war of the peafants in the time of the emperor MAxiMILIAN. This play goes beyond the utmoft licence of our SHAKESPEARE, in its change of fcene and mul- tiplicity of incident. Yet this was written as late as the year 1773. Tne principal authors of thefe collections are LEssine, GorTueE and Branpgs. The two firft are fufficiently known; the laft, BRaNnpEs, is the director of a company of German co- medians ; e ACCOUNT of the GERMAN THEATRE. 161 medians ; and if we may judge from his performances in this collection, one of the ableft of the German dramatifts, though he feems not to have attained in his own country fo much con- fideration as I fhould be difpofed to allow him. In JuNKeER’s collection is a comedy of Getiert’s, which gives a very favourable idea of his talents for comic charaéer and dialogue, talled The Lottery Ticket. WEISsE, a name of high dramatic reputation in his own country, is the author of two tragedies in thefe volumes, one of which, Romeo and Fuliet, is an extremely popular per- formance in Germany. It is an imitation of SHAKESPEARE’Ss Romeo and Fuliet, with the plot much compreffed and conneéted; but, in the fwell of its language, and the extravagance of its allufions, it goes rather beyond the original. Fuliet, however, is a better and more interefting female character than is gene- rally found in this collection. THERE is one performance, which, as it is of a sees kind, I may difmifs with a particular notice here, by a writer whom Germany places by the fide of Homer and Mitton, Krop- sTocK, the author of the Mefiah. ‘This is the Death of Adam, written in a dramatic form, though, as the author himfelf informs us, not meant for reprefentation. The fubjeét in- _ deed feems to exclude it from the ftage; but the fituations, though not of a pleafing, are of a highly interefting kind, and ___.the conceptions and language are marked with that force and fublimity which his countrymen fo enthufiaftically admire in Kiopstock. The angel of death is introduced as a perfon in the drama, announcing to Apam his approaching fate. The appearance of this majeftie and terrible being is prepared in a manner uncommonly awful and fublime. ApAm and his fon Szru are on the fcene. ‘“ The terrors of the ALMicuty (fays “ the father of mankind) are upon me. My eyes lofe you, “my fon. What darkly gleaming light rolls before me? “ Feel’ft thou the fhaking of this rock? Doft thou hear the Vor. II. x * trembling 162 ACCOUNT of the GERMAN THEATRE. “ trembling of that hill? Upon that hill behold him! Seeft “ thou, my fon, the angel of terror?” “ ’Tis night around me, (replies Sern) but I hear the noife of founding fteps !” The fublimity of this terror, which is conveyed to the ear while invifible to fight, has been felt in the fame manner, and is expreffed in nearly the fame words, by a poet of our own country, who, in that paflage at leaft, has touched the lyre with the true energy of a bard. “ Hark, (exclaims the Druid in Caractacus) sé “* Hark ! heard you not yon footftep dread . ** That fhook the earth with thundring tread, ° *Twas Death !”— It will be no difparagement to either of the modern poets, if they fhall be thought to have borrowed the idea from the Oedipus Coloneus of SOPHOCLES. Tue angel is vifible to ADAM, and announces his approaching diffolution with the fimplicity and folemnity of his funétion. The figns he gives are the fun defcending behind the grove of cedars, and the return of the angel, whofe fteps fhall again fhake the earth ; ‘‘ Thine eye fhall be dim, and thou fhalt not ‘© fee me—but thou fhalt hear the rock burft with the noife of “ thunderthou fhalt hear, and die!” The reader is thus pre- pared for the awful event, and the imagination watches, from feene to feene, the finking of ‘the fan and the fhaking of the earth, with that anxious expectation, thofe minute-terrors (if the expreflion may be allowed me), which, of all circumftances, give the ftrongeft emotion to the mind. I take this fhort no- tice of the ‘detail of the particular drama in queftion, though Not quite in its proper place here, becaufe it ftands without the pale of theatrical criticifm, and becaufe it is the production of a writer who is but little known in this country, though his ge- nius is revered, even to idolatry, in his own. 1 _ ACCOUNT of the GERMAN THEATRE. 164 I wow return to give fome general account of the dramatic colleGtions before us. Moft of the pieces of which they confift are plays of fituation rather than of character. In the come- dies, it is not the mifer, the mifanthrope, the hypocrite, that is re- prefented, but a father offended by the mifalliance of his child, a hufband hurt by the ridiculous extravagance of his wife. The tragedies, in like manner, do not exhibit a perfonification of ambition, revenge or jealoufy, but a fon outraged by his father, a baron offended by his prince, a prince tyrannifed over by his love. I am inclined to think the charaéteriftic drama ‘the moft pleafing, and generally the moft excellent. The cha- raéter of the leading perfon introduced, marks the events and the fituations in which it is placed, in fuch a way as ftrongly to imprefs the imagination and the memory of the reader, and colours, as it were, that particular province of mind which the author means to delineate, with a precifion and a force which is not found in fcenes where the fituation only acts on the ge- neral feelings of our nature. This kind of drama, however, is not fo commonly found in later periods of fociety, both be- caufe thofe later periods do not fo frequently produce peculiar and ftrongly diftinguifhed characters, as becaufe fuch characters have been already feized by the earlieft dramatic writers, who only leave to their fucceffors the power of tracing them through their fubdivifions and modes, of painting the nicer fhades by which the fame great features of the human mind are difcri- minated in different perfons. I think it may be remarked as a defeét in the colleétions before us, that the dramas do not al- ways place thofe features in a ftrong and fteady light. The charatters are not always perfectly or uniformly fupported, and the perfons are fometimes exhibited acting from motives not quite confiftent with the general plan of their character, nor appearing of fufficient force to produce their actions. This may perhaps be imputed to that extreme refinement of feeling, which I have before remarked to be particularly predominant X 2 in 164 ACCOUNT of the GERMAN THEATRE. in thefe pieces. Objects feen through the medium (a medium too rather fluétuating and uncertain) in which the perfons of the drama are placed, {trike them with a force which the reader does not always readily allow, and become motives to a con- duct of which he does not always perceive the neceflity or the ufe. Charaéters fuch as thofe of SHAKESPEARE, which act from the original native feelings of the foul, are immediately acknowledged by the correfponding feelings of the audience. It is of no confequence in this particular, that they are fome- times ideal beings, placed in a world of fancy, different from _ the real. They have ftill a fet of feelings, confonant to that {phere in which they are placed, and to thofe chara&ers with which the poet has invefted them. But in the metaphyfical refinements of fentiment, the fame thing does not take place. There the feelings are created, not the characters ; and we have no leading radical idea to which we can refer them, to which we can difcover that intimate relation, which it is the great ex- cellence of the poet to preferve, and the great pleafure of the reader or the {pectator to trace. Tue plots of thefe dramas are generally fimple, but rather diffufe ; a fault to which the freedom from critical reftraints of time and place, claimed by the authors of feveral of them, is apt to lead. They are frequently too eafily anticipated in their conclufion ; and, in the conduét, they do not produce many of thofe ftriking theatrical fituations, which, even to the moft enlightened fpectators, are highly pleafing, but which feem abfolutely effential to the entertainment of an ordinary au- dience. In perufing fome of thefe plays which have obtained the moft univerfal reputation in Germany, one is led to give the audiences of that country credit for a high degree of refine- ment, when we are told of the unbounded applaufe they be- ftow on thofe pieces, the merit of which does by no means lie in f{triking incidents, or in what are called coups de theatre, but confifts chiefly in a minute developement of feeling and fenfi- bility, Pa eee a ee ee ee a + el ah im ACCOUNT of the GERMAN THEATRE. 165 bility ; a refinement and eloquence of fentiment which one would imagine the bulk of the people could neither underftand nor admire. Perhaps, however, an audience may admire what it does not perfectly underftand, if a few fentimentalifts of high > name do but fhew it what it ought to admire. In fentiment, as in religion, there is a myftical fort of enthufiafm, which warms the fancy without fubmitting itfelf to the underftanding ; in fen- timent, as in religion, enthufiafm is eafily communicated. High refinements, which go far beyond real life, catch with a rapidity of infection. They are the creed of a fect, which is always propagated with more ardor and bigotry than the rational belief of a community. In the condué of the fable, fome of their authors, as I mentioned before, do not confine themfelves to any obfervance of the unities of time and place, but affume a licence of tranf- porting their audience, even in the midft of what they call (though by what rule I know not) an aé, into different pro- vinces and diftant periods. In the reading, this offends but little ; and even in reprefentation, it offends lefs than fome of the difciples of ARISTOTLE are apt to fuppofe. Ir is difficult to affign the limits or the power of theatrical deception. Perhaps Dr Jounson, in his excellent piece of cri- _ ticifm on the Unities, has allowed too little force to that to which the {chools had before afcribed too. much. A play re- prefented is certainly fomething different from a play read ; and in that reprefentation, we are hurt with any circum{tance which lets down our feelings from their ideal place, as we are, on the other hand, pleafed with every circumftance which rivets and confirms them there. The drefs, the decorations, the fcenery, and ail thofe little externals, which, in the cant language of the theatre, are called property, hurt us, if they do not correfpond with the fituation and circumftances of the perfons whom we fee before us on the fcene. And this cannot be from our fenfe of the propriety of a theatrical exhibition, confidered as fuch, according 166 ACCOUNT of the GERMAN THEATRE. according to the rules of art ; for the little circumftances I men- tion are fooner perceived by an ignorant and untutored fpecta- tor than by a critical and experienced one. A critical and ex- perienced one is indeed a very challengeable judge of the effects of this deception. He has got too much behind the fcene to allow it its due impreffion on his mind ; and is exercifing other faculties than that feeling and imagination, which the lefs in- formed fpectator allows to overpower him with all the pity, the wonder and the terror, with which the poet has filled his piece. In point of deception, however, fuppofing what I contend for to be granted, the circumftance of time is, as JOHNSON very well obferves, extremely pliant to the imagination. Nor is. place perhaps lefs accommodating. Indeed I am inclined to think it rather more fo, for this reafon, that time holds a rela- tion to ourfelves; but the mimic world of the ftage, from which we draw our ideas of place, is fomething quite diftiné from the world of the pit or boxes in which we ourfelves are placed. Still, however, a violent infringement of probability in either of thofe particulars, offends that belief which the cap- tive fancy wifhed to pay to the dramatic creation before it. The divifion of aéts, which is very arbitrary on, our ftage, and not lefs fo in fome of thefe German produ¢tions, affords, in my opinion, an opportunity favourable to this dittance of place and lapfe of time, which, in both theatres, are fo often in- dulged. When the curtain is down, and the mufic plays, there is a paufe in our attention, a calling off of our imagina- tion from its immediate purfuit, which fufficiently prepares both for a very confiderable change of place and of time, with- out wounding the unity of our feeling by the difcordance of the fcene. In the divifion of our plays, and in that of the German ones I am now confidering, the author is not bold enough to multiply the aéts, in words, beyond the number five; but, in truth, if by an ad is underftood a fubdivifion of the piece, confifting of a certain feparate complete part, both the Englifh ACCOUNT of the GERMAN THEATRE. 167 Englifh and German plays are frequently fplit into a much greater number. And I thought it a very juft, as well as na- tural anfwer, which a countryman in the pit gave toa friend of mine, who entered in the middle of one of SHAKESPEARE’S tragedies, and afked him to what aé they had got, “ I be- “lieve, Sir, faid he, they are juft going to begin the ninth.” THE morals of thefe German plays are in general unex- ceptionable. There is no approach towards indelicacy, except in one er two inftances in the more ferious fcenes, to a kind of indelicacy, arifing from a want of that nice fenfe of dignity and decorum which the family of the mufe requires. There: is, however, a licence of thinking on fome fubjedts, that tinctures pretty ftrongly of feveral of the performances in que- ftion; and by a combination not unfrequent among fenti- mentalifts, the language is highly virtuous, while the action is. libertine and immoral. From the author of the Sorrows of Werter, this does not furprife ; but in a play, written by a yerfon of a grave character, Profeffor Unzzr of Altona, one: would hardly expect to have found a prayer to the virgin con- cluded by a folemn refolution of fuicide, and the ftrength of mind with which the heroine looks on the poifoned beverage before her, afcribed, in the very language of devotion, to the: power and efficacy of prayer. Besipes the delicacy of decorum, and propriety in the man- _ ners and the language of a play, there is a fort of delicacy in its: very paflions and diftrefs, which highly polifhed theatres _re- quire, the neglect of which is difagreeable to the feelings and: the tafte of a very refined people. The forrow that melts, not the anguifh that tears; the fear that agitates, not the terror that overwhelms the foul, are the paffions which fuch an au- dience relifhes in a tragedy. The German theatre does not allow for this delicacy of feeling. Its horrors and its diftrefs affault the imagination and the heart of the reader with un- fparing force ; it loves to trace thofe horrors and that diftrefs through 168 ACCOUNT of th GERMAN THEATRE. through every fcene and every fituation in which they can be found ; and in its difplay of human paffions and human for- rows, is little folicitous to mitigate the atrocity of the one, or the poignancy of the other. This ftrong painting will fome- times difguft the delicacy of him who has been ufed to the finer tints of the modern fchool ; but it gives room for that fublimity and boldnefs of picture, which is often ill exchanged for the flat infipid reprefentation of reftrained paflions and chaftened manners. Baron RiesBeck, himfelf a German, who is therefore no bad authority on this fubjeét, accounts for the prevalence of high-wrought paffion on the German ftage, from the particular mode of living in Germany. “ The different clafles of people, “ fays he, do not mingle fo much in the German towns as they “‘ doin France. To every thing which belongs to nobility, or which has the name of nobility, or is in any way attached to the Court, the German in middle life can have no accefs. His knowledge of life, and tafte for focial pleafures, is much more confined than that of our people, (the Baron writes in the charaéter of a Frenchman), nor does he, like the inhabi- tants of a moderately large French town, enter into. the in- numerable incidents and accidents of common life. This want of intereft in ufual virtues and vices, this infenfibility to the little events of ordinary life, oblige the German to look for ftrong emotions and caricatures to entertain him on the {tage ; whereas the Frenchman is contented with a piece of much finer wrought plot, and willingly fees the people he lives and is acquainted with reprefented on the ftage.” To this account of the Baron’s may, I think, be added fomething peculiar in the national character, which, like that of the Englifh, is of an ardent, thinking, ferious caft. To men of this difpofition, the lighter and more ordinary views of life and manners are not interefting. They call for deeper and more impreffive {cenes, {cenes of high paffion and ftrong emotion. The ACCOUNT of the GERMAN THEATRE. 169 The Germans have accordingly adopted, with the greateft ea- gernefs, the Englith tragedies moft calculated to pleafe this turn of mind. SHAKEsPEARE is their favourite author, and the model of fome of their moft popular tragedies. To this idea, the love of fentiment I have before taken notice of, may be eafily reconciled. ‘Fhe fentiment thefe plays exhibit, is not the fentiment one meets with in French authors ; it is not the nice and delicate feeling of the petites morales, or manners ; it is that deep impaflioned fenfibility, which refides in ferious and ardent minds, which can brood with melancholy, or kindle with enthufiafm. In the German comedy, fomewhat of the fame thought- fulnefs, phlegm perhaps a Frenchman might call it, may be traced. We find not the gay and fportive language with which the comic mufe of France forms her lively and elegant dia- logue ; not thofe nice and delicate tints with which her light -and flying pencil marks the pictures of her fcene ; but a ftyle more ferious and reflective in the ES and colours more ftrong and hard in the other. A cIRCUMSTANCE very obfervable in the German theatre, is the frequent minutenefs and prolixity of the fcene. This is naturally the cafe in an early and unrefined period of the drama. To felect ftriking and luminous parts of a ftory, or of a feries of actions, to exhibit thofe in one ftrong point of view, and to leave the fubordinate parts to be filled up by the imagination of the reader or the fpectator, is a fort of abftrac- tion which belongs to a more advanced and cultivated period. In the firft rude eflays of painting, one piAlure contains diffe- rent actions of the fame perfons; and, in early narrative, every circumftance that pafled, and every word that was uttered by the perfons of whom the relation {peaks, is introduced. In dramatic poetry, in the fame way, the earlier and lefs culti- vated poets are not contented with fhewing the perfons of the drama only in the great and important fcenes to which the Vor. II. yee courfe 170 ACCOUNT of the GERMAN THEATRE... courfe of their ftory leads; they exhibit every concomitant {cene in which thofe perfons may be fuppofed to have been concerned. The more inventive imagination an author pof- feffes, the more he is liable to this fault, if that imagination is not chaftened by learning, and regulated by tafte. RicHARD- son, who may perhaps be ranked next to SHAKESPEARE among our authors of untutored genius, is an inftance of this in later times. His painting is always in nature; but his canvas is often filled with unneceflary figures, which add to the fize, while they diminifh the effect of the pi@ure. SHAKESPEARE (as might more readily be expected) is in this particular ex- tremely faulty ; and his German admirers have not corrected this fault in their imitations of him. They are more defe@tive than he in what may be called the unity of dialdgue, 7. ¢. in making their perfonages {peak only what is natural and im- portant to their fituations, and to the conduét of the piece; an error to which feveral of their fcenes owe a degree of languor, as well as length, which is apt to fatigue the reader, and muft have required very good {peaking indeed, not to have tired the audience. _ Tue ftyle of thefe volumes is in general bold, forcible and rich ; in fome places perhaps rather too florid and ornamented. This is apt to ftrike us more in profe, in which moft of the pieces in thefe collections are written, and into which they are all tranflated, than it does in verfe; becaufe elevation of lan- guage is more expected in the latter than in the former. It has been generally held as a maxim in dramatic dialogue, that the pathetic fhould be expreffed in the fimpléft language; that de- {cription and moral fentiment may admit of the pomp of vérfe and the ornaments of eloquence, bit that paffion ‘and diftrefs do not allow of fuch decorations, becaufe they brihg the mind into a fituation which {welling or figurative language does nét fuit. This is evidently juft toa certain degree. The mind, occupied with, and full of its own feelings, has no ‘leifure to ‘ftudy ACCOUNT of thh GERMAN THEATRE. 7 {tudy the expreflions in which thofe feelings are vented ; yet I think it will be found in nature, that a certain elevated diction will often be that in which the mind will pour its moft genuine and deepeft forrows. There is a pride and dignity in forrow which renders it eloquent; which, rifing above the level of ordinary things, {peaks in a ftyle more lofty than that of com- mon life. I believe it will alfo be found, that, in compofition, the aflumed loftinefs of language will have oui effect in pro- ducing a loftinefs of idea; that “ the words that glow” will fometimes, as it were, create ‘‘ the thoughts that burn.” I think it is PLATO who, fomewhere in his works, makes a re- mark of this kind as to poetry, whofe meafure and majeftic march give an infpiration to the poet, which the train of thought in common language would not have produced. And Iam perfuaded that the dramatic writer who, in the feryour of compofition, gives to the diftrefles of his fancy a language of that elevated kind, will fometimes, in the very flow and current of his words, feel his heart fwell, and tears guth from his eyes, with an energy of paffion which a more ordinary didtion would.have failed to roufe. It muft, however, at the fame time, be confeffed, that the moft common fault lies on the oppofite fide; and that authors of but moderate genius often inveft their chara¢ters, rather in the parade of words than in the dignity of fentiment, rather in a coldly imitative phrafe of feeling than in feeling itfelf. A fault of this kind is fome- times difcernible in the dramas before us, where, in the deve- lopement of fentimental diftrefs, the characters talk rather than feel their fituation ; where the poet, refining on his art, rather colours than draws the piCture of the f{cene, or, to purfue the allufion, gives us fhades of language inftead of fhades of _ thought. Tuts laboured difplay of fentiment and fenfibility i is liable to the general objection which ftrikes one in every dramatic performance, as lying againft the perfons of the drama in- er forming 172 ACCOUNT of the GERMAN THEATRE. forming us of what paffes in their minds, not by what the fcene fhews in their actions, or what the fituation naturally leads them to fay, but, if we may be allowed to refort to the plain honeft confeflion of Mr Bayes, in order to give an op- portunity of introducing good things. To this fault, the fimple and the polifhed ftate of the drama are equally liable ; the firft from that chace of images and analogies which the luxuriance of fancy dictates, and which tafte has not yet taught her to re- ftrain; the other, from a rigid obfervance of order and unity, which adds to the narrative in proportion as it limits the exhi- bition of the fcene. We find accordingly this defe&t in many paflages of the older poets ; and not lefs, and indeed in a much more continued ftrain, in the modern dramatifts, particularly the French, where the ¢irade, or ftring of fine lines, is often introduced, not to exprefs the feelings of the fpeakers, but merely to fhew the eloquence of the poet. In my enumeration of the pieces contained in this collec- tion, I mentioned, that moft of thofe which are called come- dies, rather come under the denomination of drames, containing a delineation of the affections and paflions of ordinary life, more allied to tragedy than to comedy, being only related to comedy in its perfons, but to tragedy in its fentiments and its fufferings. Its fufferings, however, are rather of feeling -than of fituation, which is one great reafon of the intereft it excites in that clafs.of people, a very amiabie one, whofe minds from nature, reading, or habit, poflefs an exceflive and high {trained delicacy and fenfibility. The fituation and diftreffes of the perfons reprefented in it, are but little removed from the fitua- tion in which that clafs of readers are placed, or thofe diftreffes which they often feel. Hence perhaps no fpecies of the drama may be fuppofed to have a ftronger effect on actual life and conduét. This might lead to an interefting moral inquiry, for which the prefent is not the proper place, and which indeed has not been unnoticed by feveral late moral writers. In general, L ee a Se CC” - —So ACCOUNT of the GERMAN THEATRE. 173 I think we may venture to pronounce thefe dramas favourable both to moral principle and to the praétice of virtue. To the former, they are allowed, even by their adverfaries, to be friendly ; to the latter, it may perhaps be contended that they do not always contribute, or at beft that they only produce that momentary impreflion, which paffes over the mind like a golden dream, amufing to the fancy, but without any effect on our actual condué or difpofitions. The French dramas of this fpecies, and fome of the German ones in this colle¢tion, which feem to have been formed on thefe models, have a good deal of that pompous wordy declamation of virtue and fenfibi- lity, which, like every {pecies of bombaftic writing, is extreme- ly popular at its firft introduction, and generally maintains a number of partizans, even when aflailed by the weapons of criticifm or good fenfe. Such a common-place fort of weak- nefs hurts equally the good effects of the drama, as a leflon of morals, and the entertainment to be derived from it as a work of tafte. To the enemies of virtue, the ridicule is open; to her friends, the exhibition is painful ; it is like the dotage of a perfon we love, which, though we cannot laugh at, we are conftrained to blufh for. Befides, in moral effect, it lofes the advantage which, as I obferved above, this fpecies of drama poffeffes, of approaching nearer than any other to ourfelves. When we fee fo little truth or life in the picture, when the fen- timents foar fo airy a height, we feel them as thofe of another world, which, if we fhould even admire, we will never concern ourfelves to imitate. Ir muft, however, be confeffed, that though fuch weak paflages will naturally produce thofe effects among people of better informed judgments and more ripened tafte;. yet, by the lefs refined part of an ordinary audience, they are often received with that genuine feeling and applaufe, which, as they are produced by virtue, are friendly to her interefts. At the reprefentation of fome of thofe fcenes, where very lauda- ble, 173. ACCOUNT of the GERMAN THEATRE. ble, but very common-place maxims, were pompoufly brought forth, and received with loud plaudits, I confefs, though I thought meanly enough of the genius of the poet, I have thought, and been happy while J thought, highly of the peo- ple. The people, whofe opinions may often be folly, whofe conduét may fometimes be madnefs, but whofe fentiments are almoft always honourable and juft; the people, whom an au- thor may delight with bombaft, may amufe with tinfel, may divert with indecency, but whom he cannot miflead in princi- ple, nor harden into inhumanity. It ,is only the mob in the fide-boxes, who, in the coldnefs of felf-intereft, or the languor of out-worn diflipation, can hear unmoved the fentiments .of compaflion, of generofity, or of virtue. In examining thefe pieces in detail, and appropriating | them to their refpective authors, one is immediately ftruck with ,the name of Lessinc, whom Germany fo much reveres.as one-of the founders of her drama. He is the author of the firft. piece in Frrepe’s colleétion, Emilie de, Galotti, another tragedy in one act called Philotas, a third called: Sara Sam/fon, and a drame entitled Nathan le Sage. He is author alfo of feveral other plays contained in the Theatre Allemand of JuNKER, one of which, Minna de Barnhelm, is reckoned the chef d’auvre of German comedy. I have perufed it with all the attention to which its high chara@er entitled it, and indeed with a great degree of the pleafure, though: not with all the admiration which that high charatter led me to expect. :It is of the graver or fenti- mental kind of comedy, where the chara¢ters maintain. a, war of generofity, from which the embarraflments .and implications of the plot, not very intricate nor artificial ones, refult. The principal perfon is a Major Trtuzim, a difbanded officer, whofe merits his country had ill rewarded; aman of ithe moft confummate bravery, generofity and virtue, for whom. thofe ‘qualities have gained the love of every foldier and domeftic around him. They have procured-him a {till more valuable attachment, —_—— ACCOUNT of th GERMAN THEATRE. 175 attachment, the love of the heroine of the piece, MINNA of Barnhelm, who, on hearing of the Major’s regiment being dif- banded, comes. to Berlin to feek him, and to make him happy. The rival noblenefs of mind of thefe two charafers produces the principal incidents of the piece, which, however, are not always natural, nor very happily imagined; and befides, as FIELDING jocularly fays, when comparing a fhallow book to a fhallow man, may be eafily feen through. But, with all thefe defeéts, and that want of comic force which the turn and fitu- ation of the principal charaéters naturally occafions, the play _ miuft pleafe and intereft every reader. There is fomething in the conftitution of the human mind fo congenial to difintereft- ednefs, generofity and magnanimity, that it never fails to be pleafed with fuch characters, after all the deductions which cri- tical difcernment can make from them. Amidft the want of comic humour which I have obferved in this play, I muft not omit, however, doing juftice to a ferjeant-major of TrnnEtm’s regiment, and to Justin his valet, who are drawn with a. ftrong and natural pencil. The ftory of the fpaniel, told by the Tatter, when his mafter’s poverty makes him with to difmifs. him from his fervice, is one of the beft imagined, and beft told, I remember to have met with. There is a good deal of - comic charaéter and lively dialogue in fome of Lissrne’s lefs celebrated ‘pieces in the colle€tion of Junker; but the plots are in general extravagant and ‘farcical. TN judging of LEssinG as a tragic writer, one will do‘him no ‘injuftice by making the tragedy of Emilie de Galotti the eriterion of that judgment. The others in thefe-volumes are very inferior to’this, which “is certainly, in point of compofi- tion, charater and paffion, a performance of no ordinary’ kind. LesstNo ‘was ‘well acquaitited with the ancierit drama, and wifhed ‘to britig the theatre of his country to a point.of regu- larity nearér‘to ‘that ‘of the ancients. He publithed, for fome time, ‘a ‘periodical ‘criticifm ‘on ‘theatrical compofitton, called, ‘és 5 By e 176 ACCOUNT of the GERMAN THEATRE. ** Le Dramaturgie de Hambourg.”’ His plays, accordingly, though not exaétly conformable to the Ariftotelian ftandard, approach pretty near to it in the obfervation of the unities. He is faid to have got into a difpute with Gorrue on this fub- ject, in which, from a degree of timidity in his nature, he ra- ther yielded to his antagonift. I am not fure if he has pro- fited by confining himfelf more than fome other of his coun- trymen within the bounds of the regular drama. The fable of Emilie de Galotti,.as well as of his other tragedies, is more regular than happy, and the denouement neither natural nor pleafing. It is founded on circumftances fomewhat fimilar to thofe in the ftory of Virginia. A Prince of Guaftalla is defpe- rately enamoured of EMILIE DE GALoTTI, who is juft about to be married to a man of rank and fortune, the Count AppPi- ANI. On the day of his marriage, he is way-laid by order of a wicked minifter of the prince, and murdered. His bride is brought to the Prince’s country-feat, where, to prevent any chance of her difhonour, her father kills her. Arter the firft reading of Emilie, I was difpofed to wonder at the reputation it had acquired; but a fecond placed it higher in my eftimation. This was naturally the cafe in a performance where the whole was neither fo perfect nor fo interefting as fome of the fcenes in detail were forcible and ftriking. The heroine Emitre pE Gatorri is but imperfeétly drawn, and not very well fupported. Indeed, it may in general be obferved in thefe pieces, that the characters of the female perfonages are by much the moft defective, both in beauty and in force. This may perhaps be afcribed to the ftate of fociety in Ger- many, where the fex is lefs an object of confideration and re- {pect than in France, and fome other parts of the Continent. But there is another lady in this tragedy, the Counte/s d’Orjina, the betrayed and abandoned miftrefs of the Prince, whofe cha- racter the poet has delineated with great ability; and one fcene, in which fhe is introduced along with the father of EMILIE> ACCOUNT of the GERMAN THEATRE. 199 EMILIE, in genuine expreffion of paffion, and pointed force of dialogue, may be compared to fome of the beft which the mo- dern ftage can boaft. In the developement of the fecret foldings of the heart, Lessinc feems deeply fkilled, and the* opening fcenes of this tragedy contain fome of thofe little incidents that mark an in- timacy with human nature, which genius alone can claim. But in its progrefs we find, in fome degree, a want of that ftrong and juft delineation and fupport of charaler, but chiefly of that probable condué and interefting fituation, which are the great and peculiar requifites of dramatic excellence. It feems alfo defective in the pathetic, for which certainly the fubject - afforded very great room, and which, in a fimilar fituation, _our countryman Rowe has contrived fo ftrongly to excite. _ Or Lesstnoc’s performances in thefe volumes, the next in ‘merit, though, in my opinion, at a confiderable diftance, is Sara Samfon, an Englifh ftory, of which the idea feems chiefly taken from C/ariffa, though one character in it, that of a vio- lent and profligate woman, is evidently borrowed from Millwood in George Barnwell. 1 muft venture to doubt, whether a cha- rater of this fort be proper for filling a principal place in tra- gedy. There is a degree of infamy in the vice of fuch a per- fon that is fcarcely fuitable to the dignity of the higher drama, and which difgufts us with its appearance. The Marwood of LessING is introduced in fuch a manner as to heighten that difguft. The amiable female of the piece, Sara Sam/on, is no exception from the general defect of female charaéter in this - collection. And her father, who is placed in the tender fitua- tion of which feveral authors have made fo affecting a ufe, the parent of a child feduced from honour, though ftill alive to __-virtue, is infipidty drawn, and awkwardly introduced. In this tragedy, is an incident, of which Lessinc feems to be fond, as he has repeated it with very little variation in another tra- gedy called L’E/prit Fort, a dream, related by the heroine, pre- aver. il. § - Z dictive 178 ACCOUNT of the GERMAN THEATRE. dictive of the cataftrophe. This, as it anticipates the conclu- fion, is always faulty. No part of the condud of a play is more nice and difficult than that degree of information which the author is to give the audience in the courfe of it. In ge- neral, he fhould certainly not foreftal their expectations, by opening his plot too foon. But there is an admirable theatrical effect which often refults from letting the audience know what the perfons of the drama are ignorant of, which ftretches, if I may ufe the expreflion, the cords of fear, anxiety and hope in the fpectators to the higheft pitch, through fcenes which otherwife would produce thefe feelings in an inferior, as well as in amomentary degree. ‘This knowledge in the audience, of Merope’s fon, while fhe, in ignorance of his perfon, is on the point of putting him to death, is one of the moft interefting fituations which dramatic invention has ever produced ; and there is nothing on the French ftage which equals the horror of that fcene of CREBILLON’s diree et Thye/ie, where the devoted brother attempts to difguife himfelf from Areus, while the terrified {pectators know him all the while, and tremble at every look and word which they think will difcover him. Next to LEssinc, in point of name, is GoETHE, the au- thor of two tragedies in this colleCtion, Goetz de Berliching and Glavidgo, and of a drame entitled Stella. The firft I have al- ready mentioned as highly irregular in its plan, being a life thrown into dialogue rather than a tragedy. The co/ume of the age in which the events are fuppofed to have happened, is very well preferved. The fimple manners, the fidelity, the valour and the generofity of a German knight, are pourtrayed in a va- riety of natural fcenes. This national quality, I prefume, has been the caufe of its high fame in Germany, to which it feems to me to have otherwife not a perfectly adequate claim. His Clavidgo is founded on an incident which happened to the cele- brated Caron DE BEAUMARCHAIS in Spain, who is intro- duced as a perfon of the drama, under the name of Ronac, an ACCOUNT of the GERMAN THEATRE. 179 an anagram of Caron, with the letters a little tranfpofed. The diftrefs of the play arifes from the falfehood of a lover, who leaves his miftrefs after being engaged to marry her. Neither the delineation of the characters, nor the management of the plot in the firft two aéts, is entitled to much applaufe ; but the laft act, which paffes in fight of the corpfe of Maria, is wrought up with uncommon force, and muft, on the ftage, be produc- tive of high effect. His third performance, Stella, is ftrongly marked with.that enthufiaftic fentiment and refined fenfibility, which, in the Sorrows of Werter, he has fo warmly indulged ; and in point of immoral effect, the drama is equally reprehen- fible with the novel. Its conclufion is in the boldeft ftyle of this fentimental refinement; fince it gives to the hero two wives, with whom he is to fhare that heart, to which the inci- dents of the play have fhewn the claims of both. ArFrTeR Lessinc and GoETHE, BrRANDEs feems to be the author in thefe volumes next entitled to notice, and indeed, in my opinion, the leaft exceptionable of them all. His two come- dies, Le Comte d’Olbach, and L’ Hotel Garni, are highly interefting in their fable, fpirited and natural in their dialogue, and con- tain fituations and incidents truly theatrical, and extremely af- fecting. Amonc the comedies of thefe volumes, is a very pleafant one, entitled Le Creancier, by Mr RicuTER. A paragraph in his preface is worthy of notice, as it ftrongly marks the pre- vailing tendency of the German tafte in theatrical perform- ances. “ In thefe days, fays he, when all the world reads “ SHAKESPEARE and GogTue, a drama like mine, which con- “ tains no outrageous paflions, of which the ftyle is neither “ metaphorical nor bombaftic, which ventures to follow the “ good old Ariftotelian rules, fo long exploded among us, “‘ can hardly hope to pleafe the driffarchufes of our modern “ {chool. Z 2 - ir 180 ACCOUNT of the GERMAN THEATRE. “ Tr is true, I might obferve to thefe gentlemen, that an honeft banker, who has not loft his wits, will, in all probabi- lity, neither fpeak nor act like King Lear, nor his clerk like ‘Fago, nor his daughter’s maid like the confidante of Queen “ Cleopatra. But thefe old fafhioned obfervations would pro- “ bably not fave my poor comedy from condemnation.” THERE is one little piece in the collection of FrigpEL, which every reader muft applaud, even if his applaufe had not been anti- cipated by the judgment of the late King of Pruflia, who pro- nounces it the only very good German comedy. This is the 4/te- lage de Pofte, by Colonel Empor FF, an officer in the Imperial fervice. The plot is founded on the violent love for horfes of a Ger- man Count, who barters his miftrefs with his rival for a fet of carriage-horfes. The characters are truly comic, the incidents highly amufing, the dialogue infinitely eafy, lively and natural, and fo perfeétly appropriated to the fpeakers, that one might afcertain the perfons, though their names were not affixed to the: fpeeches. . Bur the moft remarkable, and the moft ftrongly impreflive of all the pieces contained in thefe volumes, is that by which the colleGtion of Mr Friepet is clofed, Les Voleurs, a tragedy by Mr ScHILLER, a young man, who, at the time of writing it, was only twenty-three. Bred in the Ecole Militaire of Wir- temberg, he had little opportunity of informing his mind by letters, or of knowing mankind by obfervation. But amidft the cloiftered ignorance incident to his fituation, his genius, by its own native warmth and vigour, produced this wonderful drama, which fhews indeed, as might be expected, a certain want of acquaintance with the manners, as well as a total dif- regard of dramatic regularity, but in which the author, for- tunate, if we dare fay fo, in thefe defects, has drawn from the fources of an ardent and creative imagination, characters and fituations of the moft interefting and impreffive kind, and has. endowed thofe characters with a language in the higheft de- gree ia) ae “ ACCOUNT of the GERMAN THEATRE. 18r gree eloquent, impaflioned and fublime. With a particular detail of this tragedy, I fhall clofe the account (I am afraid a very imperfect, though without the apology of being a ‘hort one) which I have taken the liberty to lay before this Society, of the Theatre Allemand. A younc man, of high birth and expedtations, Charles, - eldeft fon of the Comte de Moor, endowed by nature with a foul of fire and a heart full of fenfibility, is led away, in the prime ‘of youth, by the love of pleafure and diffipation too common at that age. After running a courfe of thoughtlefs and crimi- nal extravagance, he liftens to the voice of virtue, which had been ftifled, not loft, in his heart, and writes to his father, whom amidft all his vice and folly he had never ceafed to love, a letter full of penitence and contrition, defiring to return to his duty, and to be received again to pardon and to favour. This is intercepted by the villany of a younger brother, who manages fo as to perfuade his father that his fon Charles (who appears to have been his great favourite) is totally abandoned to villany and vice; in confequence of which, the old man- throws him utterly from his regard, and fends him a letter re- ‘nouncing him for ever, and containing that paternal maledic- tion, fo dreadful to the fenfibility of a fon who loved his pa- rent. On receipt of this, Charles becomes defperate; and, amidft the ftorm of his feelings, outraged by what he thinks the inhumanity of his father, readily accepts of a propofal made by fome of his diffipated companions, to leave a world _ in which they had nothing but contempt and poverty to expe, ‘to fly to the forefts of Bohemia, and there to eftablith them- felves into a fociety of robbers and banditti, of which he was _. to be the chief. In the horrid duties of this new employment, he thews all that wonderful magnanimity, that perfuafive elo- quence, that undaunted valour, which would have graced a better ftation ; yet amidft the elevation and activity of mind with which the exercife and the fuccefs of thefe qualities are 182 ACCOUNT of the GERMAN THEATRE. are accompanied, his heart is prefled down by remorfe, and melted by the tender recollection of that virtuous happinefs which, in the days of youth and innocence, he had once en- joyed. The curfe of a father whom he had revered and loved, the defertion of a miftrefs, a coufin of his own, of whom he was defperately enamoured, the fenfe of his outcaft and aban- doned fituation, and of thofe violations of virtue and morality to which it neceflarily leads; thofe rending feelings, thofe melting remembrances, joined to that high fenfe of perverted honour which links him to his band, and that ardent valour which makes their enterprifes of glory ; thefe form a character of the moft energetic and interefting kind, and the author has given to his hero a loftinefs and power of expreflion fully ade- quate to the terrors and the paflions which his fituation and his f feelings produce. The intrinfic force of this dramatic charac- ter is heightened by the fingular circumftances in which it is placed. Captain of a band of inexorable and fanguinary ban- ditti, whofe furious valour he wields to the moft defperate pur- pofes ; living with thofe affociates, amidft woods and defarts, terrible and favage as the wolves they have difplaced ; this pre- fents to the fancy a kind of preternatural perfonage, wrapped in all the gloomy grandeur of vifionary beings. Bur to return to the narrative of the tragedy. His younger brother Francis having fucceeded in removing this favourite of his father, now looks to the death of the old man as the complete accomplifhment of his wifhes to attain the fortune and honours of his family. To effeé this hellifh pur- pofe, he makes ufe of his father’s ftill remaining tendernefs for that very fon whom the traitor’s arts had driven from his love. He employs one Herman, a tool of his villany, to perfonate a foldier, who had been the companion of Charles, and to relate a fabricated ftory of the fufferings and death of that unfortunate young man, who, according to him, had been reduced, by the feverity of his father, to the moft extreme and pitiable indi- gence, ACCOUNT of th GERMAN THEATRE. 183 gence, from which he had at laft been -relieved by death, ha- ving fallen fighting gallantly in an a€tion with the infidels, and in his laft words had breathed out the name of his father and of his Amelia. The old Count feels this relation as his inhu- man fon expected ; he faints at its clofe, and is carried off life- lefs from the ftage. The traitor Francis reaps the fruit of his villany ; he reaps, but his confcience does not permit him to enjoy it; and he is ever after prefented as the martyr of re- morfe, haunted by the terrors of inward guilt. His aflociate Herman appears to yield to contrition ; he braves the anger of his lord, and refolves to embrace the firft opportunity of coun- teracting his villany. TuouGu the great and the terrible be the moft prominent features of this drama, there are fcenes in which the pathetic and the tender prevail in a very uncommon degree; and the impreffion they make on the reader is heightened by the con- traft of that bold unbending fpirit which he fees melted by their force. One of thefe, the fecond,fcene of the third ad, is fo ftriking, that I cannot forbear laying it before the Society in Englifh. They will make allowance for what it muft lofe in this form, when they confider that it is the tranflation of a tranflation. Tue band are encamped on a height on the banks of the Danube, after a hard-fought battle with a party of Bohemian horfe, which had been fent to take them; but which, by the unparalleled valour and exertions of Moor and his friends, they had defeated. He enters, overcome with fatigue and thirft. “ I must reft here, (throwing bimfelf on the ground); my “ limbs are broken with fatigue, and,,my parched tongue “cleaves to my mouth. I would have afked fome of ‘you to fetch me a little water from that river, but you too are weary almoft'to death. (One of the band goes out, unperceived by Moor, “ to fetch him fome water.) “ Grim, 184 ACCOUNT of the GERMAN THEATRE. ““ Grim, (another of his band) ’T1s a long time fince our flafks “were empty of wine. How majeftically the fun fets there below! “ Moor, (looking ftedfaflly on the fetting fun) *T1s thus that a ** hero dies, and the nations admire his fall ! “* G. Ir feems to move you. ““ M. in my youth, it was my favourite idea to live like “him, (looking earnefily on the fun) to die like him! ’Twas the “* fancy of a young man. “ G. ’Twas even fo. “ M, Tuere was a time—(drawing bis hat over his eyes)— “ leave me alone, my friends. ** G Moor, Moor! do you ail aught? Your colour changes. “ M. THERE was a time when I could not fleep if I had forgot my prayers before I laid me down. ** G. °T1s folly all—Would you, like a boy, be fchooled by the remembrance of your infant days? “ M. My infant days! Oh! (leaning bis head on the bofom of Grim.) “ G. Turnk of thefe no more. Be not a child again, I pray you. ** M. A child again ! ! Would that I were ! “ G. Rouse yourfelf for fhame! See how the landfcape {miles—how beautiful the evening looks ! “ M. Aye, my friends, this earth is fo beautiful— “ G. Way, that is well. “ M. Tuis fcene fo grand— ( “ G. You fpeak it truly. I love to hear you talk thus. ‘ “ M. AnpD what am I, in this world that is fo beautiful! A thing fo vile on this magnificent work of heaven !—The prodigal fon ! “ G. Moor! Moor! ~ ” “ n cal n x n a . é wn ” , Does it depend on the combination of the notion of time with that of the proper accident of a verb, which combination. takes place in the infinitive, and even remains in the partici- ples of a verb, but not in a verbal noun? Exiffentia 200 THEORY of the Exiftentia (whether good Latin or not) is the predicament or accident of being. Vita is the ftate or accident of living. Cafus, obitus, the events or accidents of falling and of dying. Cogitatio, lectio, fcriptio, curfus, edificatio, trucidatio, are the accidents or attions of thinking, reading, writing, running, building and murdering. In Englith, almoft any noun fubftantive may occafionally be converted into a verb, by ufing it to denote thofe thoughts, or combinations of thoughts, fuch as exiftence, ftate, event, acti- vity, intranfitive, or tranfitive, or refleGted, and paffivenefs or being the object or fubject. of ativity, which are conceived to conftitute the effence of a verb. Water is plainly a noun. Watered a participle. To water a verb, without mood. He watereth, water thou, may it be watered, it was watered, a verb with mood. A watering, a verbal noun, retaining the accident, but not the import of mood; and nearly allied to the infinitive to water, in every refpect but that it does not involve the notion of time, as the infinitives to water, to have watered, ‘Sc. plainly do. TuEse are but hints. Valeant quantum valere poffnt. I suspect that the author whofe dotrine I am confidering, has been rafh in limiting the number of moods to three ; the’ indicative, exprefling affirmation, (and of courfe negation) un- der which he comprehends the /ubjunéctive, as being nearly of the fame import, and denoting affirmation, only qualified or conditional ; the optative, expreffling wifhing or praying ; and the imperative, exprefling command. I ssouxtp think the fame kind of reafons that he urges againft admitting an izterragative mood, namely, that ‘‘ it is ** not exprefled by any different form of the verb, but only 4* by particles, or by a certain arrangement of the words,” and MOODS of VERBS. 201 and for rejecting the potential mood, and for making the /wd- junttive only a branch of the indicative, would apply with equal -force againft admitting an opftative mood, at leaft in fome lan- guages, as for inftance in our own. In the following lines, Te spEcTEM /uprema mihi cum venerit hora; Te TENEAM moriens deficiente manu. The verbs /pectem and teneam exprefs very clearly the exergy of wifhing. This modification of thought is denoted in Latin by inflection, and would be fo in Greek, o dean, ce xureyorus, and will be allowed to conftitute a perfeét mood. But in Englith it muft be denoted bya certain arrangement of the words, and there- fore fhould be no mood, any more than interrogation. ‘ Thee * may I look on when my laft hour fhall come; thee may I “ grafp, when dying, in my failing hand.” J may look on thee, I may grafp thee, have meanings as different from thofe de- moted by the fame words differently arranged, as Ca/ar was killed, ts from was Cefar killed ? Ir I am rightly informed, the Chinefe language has no zmpe- rative mood; and thofe who fpeak it are obliged to employ a very clumfy circumlocution, by means of a verb fignifying command, to exprefs the familiar meaning of our imperative. Ir does not appear clearly to me, that the /ubjunctive mood expreffes merely qualified or conditional affirmation in every cafe, though undoubtedly it does fo in many cafes. In the following lines of Horace, Ulla fi juris tibi pejerati Pena, BARINE, NOCUISSET unquam; Dente fi nigro FIERES, vel uno Turpior ungut, CREDEREM. Vor. Il. Cc ye The 202 THEORY of ‘the The word crederem to be fure denotes merely a qualified of con- ditional affirmation: I might, could, would, or fhould believe, if a certain event took place. But the verbs exprefling this condition and fuppofition, are alfo in the /uhjunctive, nocuiffet, Jieres, after the particle f. With this particle, they might have been put in the indicative, and the fenfe would ftill have been complete, nocuerat, fiebas. The fame thought may be expreffed. accurately in Englifh, without the ufe of any particle corre- {ponding to fi, and merely by the peculiar arrangement of the words, juft as was done with the with of Tiputtus, “ Had “any punifhment ever overtaken you for your broken vows ; were but one of your teeth growing black, or even were but “ one of your nails becoming lefs beautiful, I fhould believe «ce you.” I cANNoT conceive that the three firft verbs in this fentence denote any affirmation at all, conditional or unconditional, but avery plain fuppofition. And this thought feems to me to be as well entitled to be called an energy, as T1nuLLUS’s wifh; and when it is exprefled (no matter in what way, whether by in- fleGtion, by augment, or by peculiar arrangement) by a verb, it muft be either a perfect grammatical mood, or fomething very near akin to one. Tue very fame kind of thought, to wit fuppofition, is ex- preffed by circumlocution, and a kind of metaphor, in the follow- ing lines. cc PoNE me, pigris ubi nulla campis Arbor aftiva recreatur aura : Pone fub curru nimium propinqua Solis, in terra domibus negata. En which fone, though in the imperative mood, exprefles no command, but only fuppofition or condition. This Captain Macheath and Polly Peachum (or Mr Gay for them) underftood perfectly 5 MOODS of VERBS. 203 perfectly ; and accordingly tranflate the thought very well, without either an imperative or a particle, by arrangement. Were I laid on Greenland’s coaft, Were I fold on India’s foil. It may be remarked too, that Horace exprefles his quali- fied or conditional affirmation, which is fubjoined to the fup- pofition by a verb in the indicative, not in the fubjundctive mood. Dulce ridentem LALAGEN AMABO. Macheath takes the common /ubjunctive - Too foon the half year’s pight wouLD pa/s; And Polly, the potential, I couxp mock the fultry toil. - Omnia novit Graculus efuriens; in calum, JUSSERIS, 1BIT. A little hungry Greek knows every thing ; he will go to hea- ven, /hould you defire him. This is conditional affirmation, expref- fed by the indicative, and /uppojition by the /ubjunctive mood. Illum et parentis CREDIDERIM fui Fregiffe cervicem. I could believe that he had murdered his father. This I con- ceive to be an inftance of the potential mood; if not of the verb credo, at leaft of human thought. Cc 2 WHATEVER 204, THEORY of the WuaTEVER may be thought of the preceding obfervations, it mutt at leaft be admitted, that the moods of verbs may be confidered in two very different points of view ; either with re- lation to any particular language, or with relation to human thought, which muft be fuppofed the fame in all ages and nations. For the fake of diftinétnefs, I fhall call the expreffions of them, by inflection or otherwife in language, grammatical moods; and the thoughts, or combinations of thoughts, fo expreffed, as well as fimilar combinations of thoughts, though not always, or per- haps never exprefled in the fame way, I fhall call energies, or modifications, or moods of thought. WiTHh refpect to the former of thefe things in any particular language, there can be no difpute or difficulty. Any tolerably good grammar of that language will fhew at once-the number and the forms of them in it; and the exact import of each of them, and the proper application of them all, will foon be learned by attending to the ufe of thofe who {peak and write that lan- guage well. But the latter (the moods of thought) muft be inveftigated in a different and much more laborious way; by ftrict attention to our own thoughts, and with fuch aid as the ftructure of language, and obfervation, and even experiment afford. Att languages, I believe, are very defective in refpect of that variety and accuracy of combination and of diftin¢tion, which we know with infallible certainty take place in thought. Nor do I know of any particular in which language is more defi- cient, than in the exprefling of thofe energies or modifications. of thought, fome of which always are, and all of which might be exprefled by the grammatical moods of verbs. Of this, there cannot be a clearer proof, than the well known facts, that we are obliged to exprefs by the fame mood very different- modifications or energies of thought, and that the number of moods, as marked by infleétion or otherwife, is different in different languages, which, of courfe, do not correfpond fo far as Te MOODS of VERBS. 205 as to admit of perfect and literal tranflation in all cafes from one to another, or at leaft not without circumlocution. Yet, unfavourable as this circumftance muft, at firft fight, appear to the hopes of one who withes to inveftigate the nature of the moods of verbs, and ultimately to afcertain the nature of a verb itfelf, I think it is chiefly by attending to it, by con- fidering what modifications of thought are expreffed by gram- matical moods in different languages, and by comparing them with fuch modifications of thought as are never, or at leaft not ufually, exprefled in that way, and by examining how it comes to pafs that fome of them are, while others are not fo exprefled, that we fhall be led to difcover wherein they agree or differ, that is, to learn the common nature of all, and the particular nature of each of them, which is the immediate obje& of enquiry. THE province of the fchoolmafter who undertakes to teach any particular language, Englifh, French, Latin, or Greek, ex- tends no farther than to explain the meaning and fhew the ufe of the grammatical moods which are found in that lan- guage which he teaches ; and his fcholars, at leaft at an early period of life, can go no farther. Bot the province of the philologift, who wifhes to examine the ftru@ture of language, and of the philofopher, who wifhes to inveftigate the laws of human thought, is much more ex- tenfive. Every grammatical mood that is found in any one language, is to hima proof of a correfponding diftinétion, or variety of energy, or modification of thought; for all men are by nature capable of learning any language. Nor does he {top _ here. From confidering- how many energies are exprefled by grammatical moods, he is led to form a more extenfive and juft notion of thofe energies, and may naturally fufpeé, and with a little attention will foon difcover, that there are many other fi- milar energies, which are not exprefled in any language; and to thefe, as well as to thofe that are exprefled, in fome or all 206 THEORY of the all languages, by grammatical moods, he ought unqueftionably to direct his attention. Ir is evident at firft fight, that a variety of thoughts, or modifications of thought, may be combined, or conceived and expreffed, along with the general meaning or accident denoted by any verb. Ir is equally evident, that only a few of thefe modifications of thought are expreffed by grammatical moods in Greek, Latin or in the modern European languages. Ir is alfo evident, that in thefe languages, one grammatical mood is often employed to denote very different modifications of, or additions to, the thought, or combination of thoughts, which is expreffled equally by every part of the verb, and which may be found without mood, though not without éen/, in the zafinitive. Anp it is plain alfo, that both thofe additions and modifica- tions of thought, which commonly are, and thofe which are not expreffed by the grammatical moods of any verb, may be expreffed by the infinitive of that verb, with the addition and regimen (that is, marked relation). of another verb.. And this additional or auxiliary verb muft be in the firft perfon, either fingular or plural, of the prefent tenfe of the indicative mood. In fome cafes, there may be more than one ftep in this procefs of refolution, as in interrogation ; but it always terminates ul- timately in a verb in the prefent of the indicative, and in the ficft perfon, as the phrafe to be refolved is the expreffion of the thought of the perfon or perfons fpeaking. AFFIRMING, denying, teftifying, foretelling or prophecying, afking, anfwering, wifhing, hoping, expecting, believing, know- ing, doubting, fuppofing, ftipulating, being able, commanding, praying, requefting, fupplicating, loving, hating, fearing, def- pairing, being accuftomed, wondering, admiring, warning, {wearing, advifing, refufing, exhorting, difluading, encouraging, promifing, threatening, and perhaps numberlefs other modifi- cations MOODS of VERBS. 207 cations of thought, for which I cannot eafily find names, all admit very readily of being combined with the general import of a verb, and form with it various more complicated mean- ings, which are eafily diftinguifhable from one another, and ar€ not convertible, and therefore muft be different. ‘There are various degrees and kinds of refemblance or affinity among them, in confequence of which they admit of being arranged, and of courfe of having different more general names given with propriety to the feveral divifions or claffes of them. And there is fomething common among them all, to which the name of energy, without any impropriety (that I can fee), may be ap- plied. If every one of them had been expreffed in all lan- guages, by variations as ftriking as thofe of rurra, rurrous, and gurre, they mu/t have been acknowledged as diftin® moods of the verb. They are equally moods or diflin& energies of thought, whether expreffed in language or not, if they be but under- ftood by thofe who ufe language ; as for inftance, in the cafe of the grammatical mood called the zmperative, by which we exprefs occafionally prayer to Gop, command to a flave, requeft to a fuperior, advice to an equal or to any one, order as from an officer to his fubaltern, fupplication to one whom we cannot refift. Thefe /pecific differences of thought were perhaps in fome meafure exprefled in Greek by the ¢en/es of the imperative, the exact ufes and import of which | muft own I underftand but very imperfectly. ” Iz they could all be arranged under three heads, as the au- thor of the Origin and Progre/s of Language conceives, affir- ming, wifhing and commanding ; or if they could all be referred to one head, affirmation, as many philologifts think they may, this would be but a {mall addition to our knowledge con- cerning them, compared to what we might expect to obtain by a more accurate examination of them; and it muft be ac- knowledged to be fomewhat rafh to attempt to arrange them, _ without firft examining them carefully. THE o08 THEORY of the THE cafe of the moods of verbs is exactly parallel to that of their ten/es, which is very accurately pointed out and happily illuftrated by the learned author of the treatife on the Origin and Progre/s of Language. AtMosT every language has its own advantages and difad- vantages in the exprefling of the various divifions and relations of time; but the conception of thefe divifions and relations of time muft be thefame in all mankind. So it is with the conception and the expreflion of moods or energies, and indeed with the conception of every thing elfe which can be exprefled by verbs, or by any other words. As in one of his own inftances: “ The ““ Lorp gave, and the Lorp hath taken away; blefled be the ““ name of the Lorp.” There is a precifion and a beauty in this ufe of the fimple contrafted with the compound paft tenfe, which cannot be attained in Latin. Dominus pEepit, et Dominus ABSTULIT ; benedictum fit nomen Domini. But it might be at- tained in Greek, by ufing the aorift for gave, and the preter- perfect for hath taken away. On looking into the Septuagint, I do not, however, find that this delicacy of expreffion has been attempted. But the genius of the Greek language has led the tranflators to another nicety and propriety of expreffion, which cannot be attained in any other language, nor indeed explained without a circumlocution : “O Kugios edwxev, 0 Kugsog a@erraro: ein ro ovouce Kugsov évroynpevoy. In this paflage, édwzxev is the aorift of — the active voice of the verb fignifying to give; &@eruro is the -aorift of the middle voice of the verb fignifying zo take away. The Greek fentence therefore exprefles, The Lorp gave, the Lorp took away to him/elf, took back to himfelf, or fimply took back. Dominus pepit, Dominus REcEpIT. If the Greek verb &@oivew had a preterperfeét middle, and if this tenfe of the middle voice had, like moft other parts of the middle verb, a kind of reciprocal or reflected meaning, on which points I dare not prefume to decide, but muft leave them to the judgment of grammarians, it would be poffible to exprefs in Greek both the MOODS of VERBS. 209 the niceties in queftion. Yet it cannot be doubted, that all mankind are capable of underftanding them perfectly, whether they ufe a language in which they can be exprefled by mere inflections or not. By means of the fame tenfe and the fame mood, to wit, the future of the indicative, we are accuftomed to exprefs either mere futurity, and of courfe a prophecy, or an intention or purpofe, or a threat, or a promife. —— Improvifa Lethi Vis rapuit RAPIETQUE gentes. Hor. Quo nos cunque FERET melior fortuna parente, Inimus O /focti comite/que. Hor. Cras ingens 1TERABIMUS @quor. Hor. Ile Deiim vitam accie1ET, Divifque ViDEBIT Permifios Heroas, et ip/¢ ViDEBITUR illis : Pacatumque REGET patriis virtutibus orbem. VIRG. Verberibus cafum te in piftrinum Dave DED AM u/que ad necem TER. Quarum, que forma pulcherrima, Detiopeiam Connubio JUNGAM /flabili, propriamque DICABO. VIRG. In the two firft of thefe inftances from Horace, we have, I think, the bare expreffion of what is to come to pafs. In the third and fourth, we have not only futurity, but in- tention or purpofe, plainly expreffed. Tue prophecies in the four inftances, from Vireit’s Pollio, are, I apprehend, fomething more than what is exprefled or un- derftood in the two firft of the preceding examples, and dif- Vor. Il. Dd ferent 210 THEORY of the ferent from what is expreffed in the two laft of them. The future events mentioned feem to be announced with authority, or fomething like fupernatural knowledge or information, which I take to be effential to the notion of prophecy. Bur Juno's promife of a handfome wife to #olus, and Simo’s threatening of a fevere whipping and perpetual imprifonment and hard labour to Davus, are by no means mere predictions of fuch good or evil to them, nor yet bare enunciations of the intentions of the fpeakers to them, but fomething very different ; other energies, modifications of thought, or moods, in fo far at leaft as mood is predicable of thought, which I think it is com- pletely. For if there were two or ten different forms or in- flections of a verb in any language, or in all languages, to ex- prefs any one mood of thought, for inftance affirmation, with, or command, they would not be different moods, but only dif- ferent forms of the fame mood. This is not altogether an ima- ginary cafe. In Englifh we have, at leaft in fome parts of our verbs, two forms or grammatical moods for one mood of thought; one of them -fimple, and only marked by inflection of the primary verb; the other compound, confifting of an auxiliary in addition to the primary verb; and in this cafe the infle@tion is in the auxiliary verb alone. J write. J do write. They wrote. They did write. (They did wrote or they do wrote, would be folecifms.) Write thou. Do thou write. Every per- fon, I think, muft acknowledge, that thefe are not inftances of two indicative and of two imperative moods in Englifh, but only two forms or expreflions of one indicative and of ene im- perative mood. If fo, then it foilows that mood is generally conceived to be properly an attribute or predicate of thought alone, while only the expreflion of it, by inflection or other- wife, belongs to grammatical verbs, juft as the firft and fecond future, or the firft and fecond aorift, of the regular Greek verbs, are not two futures and two paft tenfes, but only two different forms or expreflions of one future and of one paft tenfe, which — ee en a MOODS of VERBS. ait which tenfes are uniformly underftood by all mankind. While the prefent, the imperfect, the aorift, the perfect, the plufquam- perfect, and the future, are really different ten/es, or expreflions of different notions of the relation of the general import of the verb to time; which expreflions and notions are by no means convertible, and certainly may be underftood by all mankind, though they are not found diftinguifhed in all languages. In fhort, we muft draw no inference with refpect to the nature, the number, the affinities, or the arrangements of the moods of verbs, from the inflections or other variations employed in language, without taking into confideration alfo the relation which thofe infle@ions bear to human thought. I nave further to add to thefe remarks on the import of the moods of verbs, that fuch is the affinity or mutual relation among them, that they may often, by circumlocution, and the introduction of an additional verb, and fometimes without any fuch addition to the principal verb, and merely by a kind of metaphor, be interchanged, or fubftituted one for another, without materially affecting the fenfe of the paflages wherein they occur, and fometimes with the manifeft effect of giving a more full and particular expofition of the meaning of fuch paf- fages. This I mention, not for the fake of any advantage that can in general be obtained by fuch interchange, or fubftitution, but that I may point out that it is not properly a refolution or decompofition of the meaning of the feveral moods, as fome philologifts have fuppofed, and have thought an important dif- covery in grammar, but a mere circumlocution, and a kind of paraphrafe of the fhorter and more common expreflion, and fometimes a mere metaphor, inftead of a literal expreflion of thought. That it can be no refolution of a more complicated into feveral fimpler meanings, appears plainly from this confi- deration, that it is mutual among the moods; the fuppofed fimpler being as éafily refolvable into the fuppofed complicated, as thefe are into them. But of this afterwards. In general, Ddz2 the 212 THEORY of the : the expreflion by the common, or what we may call the natural mood, is as clear and intelligible as the circumlocution, or fup- pofed refolution of it, and much fhorter, and more animated and forcible, and of courfe more agreeable and proper. Ir muft be owned, however, that fometimes there is a great and manifeft beauty and advantage, not only in point of vari- ety, but in force and animation of expreffion, obtained by ufing a mood of the verb, and a form of fpeech different from what might be termed the natural one, and what would exprefs the literal meaning of the fpeaker. Thus, in the ode of Ho- RACE, already quoted, the ufe of the imperative mood inftead ‘of the /uhjunctive, which would exprefs the literal meaning, ap- pears to me advantageous, even putting all regard to verfe out of the queftion. Pong me pigris, &c. Ponz /ub curru, &c. is furely more forcible and animated than Sz ponerer, or Si effem pofitus, or imply po/jitus, though the general meaning be the fame. And Gay’s lines, in imitation of thefe two ftanzas of HorACcE, Were I laid on Greenland’s coaft, Were I fold on India’s fal, though highly beautiful, and in one refpeét, I mean the bold- nefg of the imagery introduced, fuperior both to Horace’s own lines, and to thofe of his tranflator, are lefs animated than either the original or the tranflation, PLACE ME where never fummer breeze Unbinds the earth or fans the trees; PLAcE ME beneath the burning ray, Where rolls the rapid car of day. 7 All fuch applications of the imperative mood I ‘confider as metaphorical ; underftanding by the term metaphor, the trans- ferring | MOODS of VERBS. 213 ferring of any word or phrafe, and employing it to exprefs a thought different from what it denotes in its original, ftrict, and literal fignification; which I take to be the very effence and pro- per definition of this figure of fpeech. In like manner, the interrqgative mood, inftead of the condi- tional or fuljunétive, which would fully and clearly have ex- preffed the literal meaning of the poet, gives peculiar anima- tion and fpirit to the following lines: Fervet avaritia miferoque cupidine pectus ? Laudis amore tumes ? Are you a covetous wretch 2 Are you a coxcomb 2-—If you are @ mifer, If you are a coxcomb, would furely be flat. Anp, on the fame principle, fuch expreflions as the follow- ing, Shall we receive good at the hand of Gov, and hail we not alfo receive evil 2—Shall I do this great evil, and fin againfi Gop * are more animated and forcible than the plain literal expreflions of the fame thoughts would be. Ir is more remarkable, that fometimes a kind of beauty and force, not indeed from greater animation, for fimple command and interrogation, as exprefled by the imperative and interroga- tive moods, are, I believe, the moft animated enunciations of thought, but from greater folemnity, may be given by employ- ing the indicative mood, where either the imperative or the inter- rogative would fully have exprefied the fpeaker’s meaning. Lydia pic per omneis Te deos oro, Sybarin cur PROPERES amanda Perdere: cur, Sc. TueEN follow all the articles of interrogation. The general meaning would have been completely exprefled without the imperative Dic, and the indicative oro ; yet I prefume no perfon of \ 24 THEORY of the of tafte and judgment will difpute, that, independently of the verfification, there is a beauty and force in HorAce’s expreflion far beyond what there would be in the fimple interrogation, Lydia cur Sybarin properas amando perdere 2 Tue future of the indicative is employed in fome cafes wherein the zmperative mood would exprefs the literal meaning of the fpeaker; as for inftance, in the Decalogue, the expref- fions, Thou /halt not kill, Thou fhalt not fieal, Thou fhalt not com- mit adultery, have not the proper future meaning, but are the moft abfolute commands, or rather prohibitions, much more forcible, becaufe more folemn, than K7// not, Steal not, &c. Tue preceding obfervations on the nature and import of the moods of verbs, are fo imperfect and fo defultory, that it may appear very rafh to draw any formal inferences from them. 1| hope, however, they are fo far at leaft intelligible and juft, that the conclufions which I have in view, and which I think might be fairly deduced from a more ample and more. metho- dical colle&tion of fimilar obfervations, will neither appear ab- furd nor paradoxical. Tuey are chiefly the following. I. THart the energies, or modifications of thought, expreffed by the moods of verbs, are fuch as may be exprefled feparately ‘by other verbs, and chiefly by active verbs ; or, in the phrafeo- logy of the author of the eflay on the Origin and Progre/s of Language, That the energies of the mind of the fpeaker, denoted by the moods of verbs, are truly accidents, and chiefly actions. Tuis perhaps the learned author was not fully aware of, elfe he would not have ufed, in his definition of a verb, a phrafe which may be fairly tranflated, “‘ A verb is a word chiefly fig- “ nificant of being and of aétion, of the action of the mind of the fpeaker relative to that action,” tc. Or, if he had been aware of this, he muft, I think, have been led to examine more — . MOODS of VERBS. 2¥5: . more accurately the nature of the energies, actions, or accidents denoted hy the moods of verbs. Yer, trom his uniformly employing the term energy to de- note the general import of all moods, we may prefume, that he had fome conception of that intimate relation between the import of the accidents of fome and that of the moods of all verbs. For he muft have known, that exergy, though a com- pound Greek word, and aéton, though a fimple Latin word, when applied to the operations of mind, are perfectly fynony- mous; and he very properly mentions action as one of the chief accidents denoted by verbs. His definition might even be fairly ftated thus. ‘* A verb “* is a word chiefly fignificant of accident, of the accident of “« the mind of the fpeaker relative to that accident,” tc. - For this is only fubftituting the generic term accident for the /pecific term energy or ation; fo that the propofition, though lefs parti- cular and accurate, would ftill be true. Il. Tuat the energies expreffed by the moods of verbs are chiefly the focial operations of mind, as they have been very properly termed by Dr Rep ; that is to fay, fuch as imply the belief of fome other intelligent being to whom they relate, and which cannot be fuppofed to take place in a folitary being. fil. Tuar the grammatical moods of verbs are-concife modes of exprefling fome of thofe combinations of thoughts, which: eccur moft frequently, and are moft important and ftriking. IV. Tuat the number of grammatical moods is limited by: the fame circumftances which feem to limit the variety, preci- fion, and perfection of language, in other refpects ; and _parti- cularly by the convenience of thofe who ufe it, and who in general will have no more moods to their verbs, and no more words or infleGtions of any kind, than they have abfolute oc- cafion. 216 THEORY of the cafion for; and, of courfe, muft often employ one mood as they do one word, or one infleGtion, in various fenfes, that is, to exprefs occafionally different thoughts. V. THAT grammatical moods contribute greatly to the beauty and perfeGtion of language, by the brevity, animation, and force, which they give to the expreffion of our moft fami- lar and interefting combinations of thoughts, which may in- deed be exprefled, in fome meafure, by circumlocution, and the ufe of additional verbs, but not with the fame advantages. VI. THaT grammatical moods of verbs, like other inflec- tions of words, exprefs much better than any fucceflion of words’can do, the intimate connection and relation of various thoughts, which are not fucceflive, but fimultaneous or coex- iftent, and which appear unnaturally disjointed, and in fome meature altered, when they are exprefled by a feries of words denoting each of them feparately and in fucceffion. Some of thefe conclufions, efpecially the third, the fifth and the fixth, are fo intimately connected, that it is difficult to con- fider them feparately ; and as it is of no confequence to keep them quite diftiné in the following illuftrations, I fhall confi- der them pretty much together, as I conceive they tend to ex- plain and illuftrate one another. I. Tue firft of thofe conclufions can hardly be thought a no- velty, if it be confidered that feveral philologifts have main- tained, that fome of the moods are re/olvable into fuch ‘circui- . tous expreflions, by means of other additional verbs. In truth, they are all, infome meafure, convertible, though, in ftri@ pro- priety of language, not 7¢/olvable, nor even perfectly convertible, in that way. © THE zndicative, which denotes affirmation, is nearly the fame in medning, and of courfe is nearly convertible, with a verb of MOODS o VERBS. 217 of affirming in the jir/ per/on (either fingular or plural) of the prefent of the indicative, and the general import of the primary verb, without mood, that is, in the infinitive. Titius /cribit, dico, dicimus, Titium fcribere, quod Titius fcribat. I fay, we Ja, that he writes. This kind of expreffion is a mere pleonafm. But fomething very nearly approaching to it is often ufed in very folemn language, as in that of the Holy Scripture, and witha good effect. Verily I fay unto thee, &c. THE imperative mood is in fome meafure convertible with a verb of commanding, fuch as Fubeo, in the firft perfon of the prefent of the indicative, and the primary verb without mood. I nunc, et verfus tecum meditare canoros. Fubeo te nunc ire et tecum meditari, &c. Fubeo, dico me jubere. In like manner, the oftative mood is, in fome meafure, re- folvable or convertible by means of the primary verb without mood, and a verb of wifhing, fuch as ofto or cupio, in the firft perfon of the prefent of the indicative. Te teneam, te /pectem. Opto, cupio te tenere, te /pectare. It has been found unneceffary, but it would undoubtedly be poffible, and on fome occafions might be ufeful, to have grammatical moods, either by inflec- tion or by arrangement, (like may I held, may I fee) to denote Jpero te tenere, defpero te tenere, confido te tenere, or te /pecta- turum. THE interrogative mood is not refolvable exa¢tly in the fame way, by the primary verb without mood, and the indicative of another verb: there is another ftep in it; and, after all, the refolution is {till lefs perfect than in the other moods. ° Quid faciam? Moriar? et Amyntam perdet Amyntas ? The meaning here is more than merely, Cupio fcire quid factu- rus fim, utrum moriar necne, num Amyntas femet perditurus fit. Even Rogo, Fubeo, aliquem, mibi dicere quid faciam, quid debuero Vot1. II. Ee facere, 218 THEORY of the facere, &c. does not fully exprefs it. The energy of interroga- tion, in point of thought, admits of a more clofe and perfect combination with the conception denoted by a verb, than can well be expreffled by any circumlocution *; but it is fully de- noted by the interrogative mood, as appears by the perfon who. is addreffed in that mood returning a pertinent anfwer. This, which is fo manifeft with refpe€t to the interrogative mood, is equally true with refpeét to all the other moods. Wonper has a kind of mood appropriated to the exprefling of it, made out by the addition of a particle, originally of inter- rogative meaning, to the indicative mood ; at leaft, I think it is fo in all the languages that I am acquainted with. Quam timeo quorfum evadas. TER. Quam pene furve regna Proferpine, Et judicantem vidimus /Eacum. Hor. Tela quam certo moderatur arcu. SEN.. ta 7) . = vo f - Qwil eft cruel—qu'il eff doux d'etre Pere: DiperRoT Pere de Famille. How fearful and dizzy ’tis to caft one’s eyes fo low ! How many thoufands of my pooreft fubjects are at this hour afleep! SHAKES, None of thefe fentences are interrogations, or can admit of an anfwer. They all exprefs (in addition to the general: mean- ing * I pexizve the neareft we can come to it is by the ufe-of the imperative of a verb. of affirming with the infinitive of the primary verb. ° ‘ Dic mibi Dameta cujum pecus, an Melibei ? Cujus. eft pecus? Dic cujus pecus eft. Jubeo te mibi dicere cujus pecus eft. aa ok Se rears: oe ears MOODS of VERBS. 219 ing of the primary verbs) the emotion of wonder, or fome mixed emotion, of which wonder forms a part. No perfon can doubt that this exergy might have been exprefled by in- flection of the verb; and that, if it had been fo, fuch inflec- tion mufi have been reckoned. a perfeét grammatical mood, and might have been refolved, though no doubt but imperfectly, into a fentence containing the primary verb, (timeo, video, &c.) and fome verb, or phrafe containing a verb, expreflive of wonder, or fome fimilar emotion. Miror me tam pene vidiffe regna Proferpine, miror quantum timeo, mirus eff timor meus, quorfum evadas. 1 wonder, tremble, fhudder, to caft my eyes fo low. Iadmire, it is admirable, that many of my fubjedts are at this hour afleep. Wirua refpect to the grammatical mood called the /ubjunctive, it muft be obferved, that it (like many words in common lan- guage) has different meanings, or exprefles different energies, combined with the radical meaning of the verb, fuch as, with, (already confidered) fuppofition, power, condition, tc. It muft be in vain, therefore, to look for any one verb, or any one thought or energy, by means of which the fubjunctive mood may uniformly be refolved, as the indicative may be by dico, the optative by opto, the interrogative by vago, the impe- rative by jubeo. Itis to be refolved occafionally by means of different verbs, according to the particular energy or mood of ’ thought expreffed in any inftance. Of this indeed there can be no better proof than the number of different auxiliary words which we employ in Englifh to make out what we call the fub- *- junétive mood in all its ten/es, fuch as, may, can, might, could, would, /bould, which are, by no means, fynonymous and con- vertible terms, even in this application of them, and yet all -correfpond occafionally to the Latin fubjunétive mood, which is fimple, and only marked by inflection. Crediderim, pofjum credere, | might believe; credidiffem, potui credere, 1 might have believed. Condition, ftipulation, fuppo- Ee2 fition, 220 THEORY of the fition, which, though fomewhat different, are very near akin,. are among the moft frequent meanings of the fubjunctive mood. This meaning, or mood of. thought, may be refolved, to a cer- tain degree, into an imperative mood (the refolution of which hath already been fhewn) and the primary verb. An ingeni- ous etymologift* has fhewn, that the Greek particle é&, and the Roman /, are but contractions of certain parts or in- fleGtions of the fubftantive verbs, és and /um; which parts of thofe verbs have an imperative meaning, Be it fo. The fame author fhows, that our Englifh particle if is juft a con- traction of the imperative of the verb give, anciently written - and pronounced gif. Si vis me flere. Sit, eflo, quod vis, or velis me flere. Fac, pone, te velle me flere. ‘The imperative fac was often ufed by the ancient writers of Latin in this fenfe; pone feldom by them, but often by modern writers ; r:de: was ufed in the fame fenfe by the Greeks. Indeed, different parts, both of zidyus and of pono, were ufed for this purpofe; the Romans, I prefume, imitating the Greeks. It is worthy of obfervation, that in French, the ufe of the conditional particle fi faperfedes completely the ufe, either of the fubjunétive or of the conditional mood. $7 in French always governs the indica- tive mood. 7 je peux, fi je pouvois, fi je pourrais never Si je puiffe, fi je puff, wm the fubjunctive, nor even /¢ je pourrois in the conditional mood. As to the circumftance of being fubjoined to a preceding member of a fentence, and commonly to a verb in the indica- tive mood, from which the fubjun¢tive has got its name, the difference of meaning between the fubjunctive fo employed, and that of the indicative in fome cafes, and between it and the bare infinitive in others, is fo minute, that it is difficult to afcertain it, and perhaps impofhible to exprefs it in words. Ac- cordingly, we often find, that in tranflating from one lan- guage into another, thofe three grammatical moods may and perhaps * Mr Horne Tooke. MOODS of VERBS. oo perhaps mu/ be interchanged, to preferve the original meaning, without violating the idiom of the language into which the tranflation is made. But the ufe of a peculiar inflection or mood to diftinguifh the fecondary or fubjoined verb from the fundamental or primary verb in a fentence, often has its ufe; and I think, without much refinement, we muft perceive an elegance, and perhaps too a greater degree of precifion, in thofe languages in which this nicety is attended to, asin Latin and in French ; for in our own it is almoft loft fight of. But it muft be obferved, that it is not every verb fubjoined to another by the relative pronoun quwz, that is put in the fubjunétive mood. In many cafes, either the indicative or the fubjunctive may be employed, almoft indifcriminately, both in Latin and in French. But fometimes the one, fometimes the other, ought to be ufed. Where the affirmation is certain and pofitive, the indicative fhould be fubjoined to the indicative.. —— Heu quoties fidem, Mutatofque deos FLEBIT : et afpera Nigris equora ventis EMIRABITUR 7/olens, Qui nunc te FRUITUR credulus aurea= Qui /emper vacuam, femper amabilem. SPERAT, %e/cius aure Fallacis : miferi, QUIBUS. Intentata NITES. Cependant je RENDS grace au ele officicux, Qui fur tous mes perils vous FAIT ouvrir les yeux. Feune et vaillant heros, DoNT la haute fageffe N’est point le fruit tardif d’une lente vieilleffe. - Though in thefe lines of Borrzau, there be no verb but ¢/, ir is plainly fubjoined to the preceding member of the fen- tence 222 THEORY of the tence by means of the relative dont. Ne foit point le fruit, would, in the firft place, be bad. French, and, in the next place, would have been a very impertinent infinuation to _Lovuis XIV. as if his high wifdom had been fomehow contin- gent, or hypothetical. But BoILEav was not .a man likely to fall into.either of thefe errors. On the fame principle, I prefume, the indicative mood is fubjoined to the indicative, in the following paflage of the Holy Scripture: Fe fuis 1 Eternel ton, Dieu, qui t? ai tire du pais d’Egypte, de la maifon de Jervitude. The fubjunéive mood, Qui 7’ AYE tiré, would manifeftly be inelegant and in- accurate in this place, where the fubjoined affirmation is pofi- tive and certain. And for the fame reafon, we fhould never hefitate to exprefs the fame thought in Latin by the words, Ego fum Dominus tuus Deus, qui EDUX1 te e terra Aigypti, e domo Jervitutis; and fhould be fenfible of a grofs impropriety, if the word eduxerim were fubftituted for eduxt. Bur in innumerable inftances, wherein the fubjoined verb expreffes any thing uncertain, precarious, contingent, or de- pendent on the will or power of another, it is put in the fub- junétive mood: hence this mood has, in all its ¢enfes, a fort of affinity or relation to a future meaning. Still, however, great latitude is allowed to writers, both in profe and verfe, and is actually taken by the beft of them, in the ufe of the indicative and of the fubjun@tive moods ; as in the following inftances from VirciL and Cicero. ‘Quip. FACIAT /atas fegetes, QUO SIDERE terram Vertere, Maecenas, ulmi/que adjungere vites CONVENIAT: QUH CURA Boum, qui cuLtus habendo Sit pecori, apibus quanta experientia parcis, Hine canere incipiam. Vos, MOODS of VERBS. 223 — Vos, 0 clarifima mundi Lumina, labentem celo gum DUCITIS annum, : Liber, et alma Ceres; veftro fi munere Tellus Chaoniam pingui glandem MUTAVIT arifia, Poculaque inventis Acheloia miscuitT uvis : Munera vefira canos Tuque O cur prima frementem Fupit equum magno tellus percuffa.tridenti, Neptune: et cultor nemorum cui pinguia Cee Ter centum nivet TONDENT dumeta juvencic. Enumerare pofum QUE siT in figuris animantium, et quam fo- fers fubtilifque defcriptio partium, quamque admirabilis fabrica membrorum. Omnia enim QU quidem intus inclufa suNT ita nata, atque ita locata funt,-uv nihil eorum fupervacaneum sit, nihil ad vitam retinendam non neceffarium. Cuyus quidem adminiftratio nihil HABET in fe QUOD reprehendi PROTEST 5 eX iS enim naturis QUHERANT, QUOD efici POTUIT optimum effectum eff : doceat ergo aliquis. potuiffe melius: fed nemo unquam docebit: et stquis corrigere aliquid voLET, aut deterius- faciet, aut id, quod fiert not potest, defiderabit.. In thefe paflages, the fubjoined verbs are marked in capi- tals. They are.to the number of feventeen; yet of them no lefs than twelve are put in the indicative mood. And it may be obferved, at Jeaft with refpect to the two paffages from Cr- CERO, that the meaning exprefled by the fubjoined. indicative is not diftinguifhable, in feveral cafes, from that which, in other cafes, is exprefled by the fubjunctive mood. _ THESE more particular obfervations, and. the well known general fact, that, in our own language, we find means to difpenfe with the ufe of a peculiar grammatical mood, to de- note barely the circumftance of being fubjoined, I apprehend coincide perfeétly with the account given of the comprehenfive and various meanings of that grammatical mood which is called 224 THEORY of the called the fubjunctive, and amount to a full confirmation of that account. Il. Tue fecond of thofe conclufions can f{carce require any explanation or commentary. The modification or mood of thought, which is moft commonly exprefled by a grammatical mood of a verb, is unqueftionably that of affirmation, under which we may comprehend negation, or elfe we muft ufe the more general term propofition, which comprehends them both. This is exprefled by the indicative mood. Next to.this, the moods of thought, moft commonly exprefled by verbs, are thofe of command and of interrogation ; the latter (at leaft in all the languages that I know any thing of) being w/wally expreffed, either by the addition of fome particle to the common indica- tive mood, or elfe by fome peculiar arrangement of the words conneéted with a:verb in that mood. Vidiffi, Thou /aweft or thou didft fee. Vidiftine? Saweft thou, or Didft thou fee? Some- times, however, it is not exprefled in either of thefe ways, nor in any way but merely by the tone of voice of the fpeaker; and confequently, when it is written, and read filently, it cannot be diftinguifhed from a propofition. Fervet avaritia pectus. Lau- dis amore tumes. Hence the ufe of points or marks of interro- gation in writing. The former (command) is commonly ex- prefled by a diftin@ grammatical mood. Tuese three moods are all plainly focial modifications of thought. No man could be fuppofed even to form (not to fay utter) a propofition, a queftion, or a command, who did not believe that there were other intelligent Beings befides himfelf, who might underftand him. In general too, (for I admit there may be exceptions to this) the perfon who utters a propofition wifhes to be believed, he who gives a command withes to be obeyed, he who puts a queftion wifhes to be anfwered, and all of them wifh to be underftood. Thefe are all operations of thought, MOODS of VERBS. 225 thought, which cannot be fuppofed to take place in a folitary Being. Bur there are fome moods of thought denoted by the gram- matical moods of verbs, (more or lefs perfeétly) which are not, ftrictly {fpeaking, focial acts of the mind; for inftance, wifh- ing, fuppofing, wondering. Thefe may all be fuppofed to take place in a folitary being, like Rosinson Crusoe in his ifland, as well as in Cicero in the Forum of Rome. THE greateft part, even of common converfation, confifts of propofitions; and whole volumes, both in hiftory and in fci- ence, may be, and perhaps have been written, confifting en- tirely of propofitions, and of courfe requiring no other mood but the indicative. BuT in common converfation, and {till more remarkably in all buftling and interefting fcenes, commands and queftions muft occur, and, of courfe, the interrogative and imperative moods, however formed and marked, become neceflary. Next to thefe purely focial acts of the mind, or poflibly not lefs frequent or important even than them, is the familiar and interefting emotion of wifhing. And this emotion or energy of thought we often have occafion to exprefs or communicate to thofe among whom we live and with whom we converfe ; fo that although it be not of itfelf, ftritly fpeaking, a focial act of the mind, yet it is plainly very near akin to one, and may almoft be faid to become one when combined with that of affirmation, as it is when exprefled by the optative mood in common difcourfe ; for it would not be fo in foliloqguy. Now, thefe are the modifications of thought, which, in moft lan- guages that are tolerably perfect, are exprefled by grammatical moods in one way or another. Ill. Tue third conclufion, ‘“‘ That the grammatical moods of verbs are concife modes of exprefling the moft frequent modifications of thought, (and the moft important or in- Vox. II. Fuk “ terefting ay 226 THEORY of the “ terefting of them)” is felf-evident, when we compare them with the circumlocutions into which it is thought they may be refolved. But it will be illuftrated more fully than is neceflary here, in confidering the two laft conclufions. IV. As to the fourth conclufion, it muft -be very plain to us all, from the experience we have had of different languages, that none of them are in every refpect, nay hardly in any re- fpe&t, abfolutely perfect ; and correfponding, either by the va- riety of words which they afford, or by the modifications, infleGtions, and arrangements of thofe words, to all the varie- ties and niceties of human thought. It is only the moft com- mon and familiar thoughts or notions that have particular words in al] common languages to denote them, and only the familiar and frequent combinations of thoughts that have ap- propriated phrafes to exprefs them. New notions require new words to denote them, as new combinations of thoughts, of which the variety is endlefs, require new phrafes and fentences. In this way, languages gradually improve, at leaft in point of richnefs, copioufnefs, and precifion. Bur it is only the moft frequent of all combinations of thought with that which is the general meaning of a verb, fuch as affirmation, interrogation, command, wifh, tc. that are exprefled by fuch infletions or variations of the primary verb, as may be called grammatical moods. Thefe are the combina- tions of thought, in the exprefling of which, circumlocution, or tedioufnefs of any kind, would be the moft difagreeable and: inconvenient ; and for which, therefore, a quick and fimple mode of communication is moft requifite. Many other com- binations of thoughts may be exprefled by the combination of different verbs with fufficient quicknefs, and without inconve- nience or difagreeablenefs of any kind. The number of gram- matical moods cannot be infinite. It is plainly limited, partly by the difficulty of contriving a great number of diftinct in- flections;. me, es ee MOODS of VERBS. 227 fletions, partly too from the obvious difficulty of remember- ing and employing accurately even fuch a number as might ‘undoubtedly be contrived, but much more from there being no urgent occafion for fuch a variety of them; many of the combinations of thoughts to be expreffed by verbs being fo near akin, that they would naturally be claffed together, and might be denoted by one grammatical mood, without danger of any ambiguity or obfcurity ; as for inftance, the various moods of thought which are occafionally exprefled by the grammatical imperative, or by the future tenfe of the indicative; all the diftinctions of which moods of thought, both in kind and in degree, may be fully underftood by thofe to whom the dif- courfe is addrefled, from a variety,of well known or obvious circumftances. Hence I think it appears very natural, that though the poflible number of grammatical moods be very great, (though by no means infinite) the number of actually fubfifting moods in different languages fhould be very fmall ; and that fome, even of thefe few, fhould occafionally be em- ployed with little diftinction; the ingenuity and labour of man- kind in contriving, and their precifion and fteadinefs in em- ploying fuch moods, being chiefly regulated by the experience of what they daily had occafion for. V. Tue fifth of thofe conclufions refpefting the importance of grammatical moods towards the perfection and beauty of language, by the quicknefs, animation, and force, which they give to the expreffion of our moft familiar and moft interefting modifications of thought, can require no other proof but mere illuftration by proper examples, any number of which may eafily and readily be found. And from thefe it will plainly ap- “pear, that the moods of verbs are in a manner effential to elo- quence of almoft every kind. “ L’éloquence” (as M. D’ALEM- BERT very juftly obferves, and propofes to define it) “ eft le * talent de faire pafler avec rapidité, et d’imprimer avec force, | Sage det “ dans 228 THEORY of the * dans l’ame des autres, le fentiment profond dont on eft péne- tré. Cette definition convient a l’éloquence méme du filence, langage energique et quelquefois fublime des grandes paf- fions ; a l’éloquence du gefte, qu’on peut appeller l’éloquence ““ du peuple, par le pouvoir quelle a pour fubjuguer la multi- “ tude, toujours plus frappée de ce qu’elle voit que de ce qu'elle * entend ; enfin a cette éloquence adroite et tranquille, qui fe * borne & convaincre fans emouvoir, et qui ne cherche point a “ arracher le confentement, mais a l’obtenir. Cette derniére “* éfpece d’éloquence n’eft peutétre pas la moins puiflante ; on eft moins en garde contre l’infinuation que contre la force.” D’AcemsBert Difcours a T Academie Frangoife, et Reflexions fur Eloquence Oratoire. Melanges, Vol. Il. p. 304, 305- 319. Or all the moods of thought which are commonly expreffed by grammatical moods, the indicative (comprehending the fimple /ubjunctive) though one of the moft important, and moft frequently employed, is plainly one of the leaft animated or interefting, from the nature of the thought expreffed by it,. which is merely propofition, that is, affirmation and negation. Though animation and force be little needed, yet brevity and. quicknefs are of much .confequence in the exprefling of this combination of thoughts. Had we not an indicative mood to. exprefs it briefly, and in one word, our converfation and wri- ting would be intolerably flow and tedious, and confequently feeble and difagreeable. We fhould be obliged to employ at. leaft two verbs inftead of one, and after all fhould have but a: very inaccurate and clum{fy expreffion of a thought, which we: fhould wifh to communicate as precifely and diftin@ly as pofli- ble. Fuit Ilium could not be refolved into Dico Ilium fuiffe 3 for dico is itfelf an indicative, refolvable in the fame way with fuits aio, inquam, affero, affevero, Sc. me dicere. Without the ufe of grammatical moods, we could get no nearer to a refolution of fuit Ilium than ego dicere fuiffe Ilium. Or dropping the in- fletions which ferve to diftinguifh the infinitives from the ; moods, Le SC MOODS of VERBS. 229 moods, properly fo called, and taking only the roots or bafes of the verbs refpectively, Ego dic— fu— Ilium. Any perfon may eafily try the effect of fuch a refolution of any plain ele- gant compofition, either in profe or verfe, wherein the indica- tive and fimply fubjunctive moods are ‘chiefly or folely em- ployed ; as for inftance, the following beautiful lines of Ovrp, containing an account of PyTHAGORAs. Vir vuiT hic ortu Samus: fed FUGERAT una Et Samon et dominos; odioque tyrannidis exul Sponte ERAT: i/que licet ceeli regione remotus Mente deos ADIIT: et que Natura NEGABAT Vifibus bumanis, oculis ea pectoris HAUSIT. Cumque animo, et vigili PERSPEXERAT omnia cura, In medium difcenda DABAT: catumque filentum, Dittaque mirantum, magni primordia mundi, Et rerum cauffas, et quid Natura, DOCEBAT : Quid Deus; unde nivess que fulminis ussev origo : Fuppiter, an venti, difcuffa nube TONARENT : Quid QUATERET terras; qua fidera lege MEARENT } Et quodcunque LATET. Primufque animalia men/is ARCUIT imponi: primus quoque talibus ora Doéta quidem sorvit, fed non et credita, verbis. ’ In thefe fifteen lines, there are fixteen verbs, either in the indicative or in the fimply fubjun@tive mood. Without the ufe: of fuch a mood, the thoughts exprefled in the lines, fimple and eafy of apprehenfion as they may appear, could hardly have been expreffed intelligibly ; or if this, with much labour and. ingenuity, could be accomplifhed, ftill the beauty, the charm, of the compofition would be completely loft. The poet, the orator, the philofopher, the hiftorian, and indeed every perfon who has the gift of fpeech, or who makes ufe of language in any way, has almoft conftant occafion to employ that mood, and 230 THEORY of the and muft feverely feel the want of it, whatever refolution or circumlocution he might contrive inftead of it. It is evident, that, in many cafes in real life, a flow and tedious expreflion of the thought denoted by the indicative mood, fuppofing that it could be made fufficiently intelligible, would not only be difagreeable, but might fcarce ferve the purpofe required ; it might come too late. In ‘certain circumftances, a perfon’s life and fortune may depend on his quicknefs in exprefling what he means to communicate. Even where nothing of that kind is at ftake, the difference between a quick and a flow te- dious expreffion of thought, is very ftriking and important. Language is at beft, and after all its improvements, not only lefs perfe&t and accurate, but incomparably flower, than thought; the quicknefs of which is proverbial, and with great reafon. J believe it is even in many cafes much quicker than we are commonly aware of: We all know, that we can, in a very few feconds, recollect a vaft number of things in fucceflion; fuch as the various circumftances of a ftory, in which perhaps many different perfons were concerned, and many different events occurred, or the various fcenes through which we paffed in the courfe of a long journey. But to tell fuch a {tory intelligibly, or to defcribe particularly fuch fcenes, even with the help of the moft perfect language, might be the work of hours. In a certain ftate of imperfect fleep, in which dreams moft.commonly accur, .or at leaft are moft diftiné and beft remembered, the train of thought appears to be incompa- rably quicker than we can ever make it, while awake, by any vo- luntary exertion. There is reafon to think, that fometimes a fudden noife, which, to a carelefs obferver, might feem to waken a perfon inftantaneoufly and perfectly, may yet give occafion to a /ong dream, in an almoft imperceptible interval of time. I call the dream dong, though it may pafs in a fingle fe- cond or lefs, when it confifts of a great or numerous feries of imaginary events, the narration of which would be long in point MOODS of VERBS. 231 point of time; like the adventure of the Sultan in the Arabian Nights Entertainments, who, on dipping his head into water, had a long and vexatious feries of adventures, for feven years, as he thought, in the fhort fpace of time in which his head was in the water. Even when we are awake, a voluntary train of thought, efpecially when much connected with emo- tion or paffion, is fometimes fo quick that we are unable to ex- prefs it in words, or at leaft to do it any juftice in point of quicknefs. Before we can exprefs even the hundredth part of it, the reft of it is gone, and cannot be recalled but flowly, and with much labour. We can often obferve, both in com- mon converfation, and in public fpeaking, that a perfon hath gone on much farther in thought than he has expreffed in words. Many people cannot tell to ‘any purpofe either a ludi- erous or a pathetic ftory for laughing or weeping. The whole train of thought rufhes on their minds fo quickly as to over- power them with its full effect, before they have expreffed. enough to let their hearers know any thing of it, nay fome- times before they begin to fpeak. Format enim natura prius nos intus ad omnem Fortunarum habitum : juvat aut impellit ad iram, Aut ad humum merore gravi deducit et angit : Mox effert animi motus interprete lingua. Some of the moft interefting modifications of thought, f mean emotions and paffions, exprefs themfelves by natural: language, that is by the countenance, voice and gefture, al- moft as quickly as they are conceived; and when they are ex- preffed in this way, they are not only well under{tood by others, but are often in fome meafure communicated to them, For fuch is the nature of man, that, independently of all reli- gious precepts, and of all moral confiderations, we are ftrongly, _and often. irrefiftibly difpofed to rejoice with thofe that do re- joice, 232 THEORY of the joice, and weep with thofe that weep. This we mutt all have | feen, and to a certain degree felt, even in common converfa- tion. We can often obferve, that one very cheerful, or one very melancholy perfon quickly communicates his ftate of mind to a whole company. We feel the fame to a ftill greater degree in fcenes of real diftrefs, or of violent emotions of any kind, and often to a very high degree from exquifite theatrical reprefentation. The fame principle extends to the fpreading of the military ardour or of a pannic among foldiers, of civil fury among a mob, and of religious fanaticifm, fometimes even among people who did not apprehend any fuch danger to themfelves. Next to this inftantaneous and moft effe@tual expreflion and communication of thought by natural language, is the quick tranfmiffion of it by very brief expreffions in artificial lan- guage. The beauty and force (that is, the quick, and power- ful, and pleafing, effe€t) of fuch quick and brief expreflions has been generally acknowledged, and felt, and admired. The chief, and fometimes perhaps the only merit of certain apoph- thegms, or good fayings, confifts in the brevity, and confe- quently force of the expreflion*. Among the Spartans, this ftyle of fpeaking and writing was fo much admired as to be- come a matter of ftudy, and confequently fometimes of affec- tation. It is certain, that many thoughts, which appear ftriking and admirable, when expreffed in one or two words, are feeble and frivolous, when expreffed at full length, efpecially when put into pompous language. On the fame principle too, we may underftand how it comes to pafs, that brevity, and the employ- ment of few and fimple words, are eflential to the fublime in literary compofition ; which is a well known and important — fact. : We are fo apt to-be difgufted with a very full and precife expreflion of thought, efpecially on fubjeéts which are familiar to * Videfis Puurarcn’s Apophthegms. a MOODS of VERBS. 233 to us, or at leaft are fuppofed to be fo, that many people who are accuf{tomed to the elegant, and often concife and animated, compofitions of hiftorians, orators, and poets, cannot be recon- ciled to that accurate enunciation of propofitions and of argu- ments in proof of them, which is often indifpenfibly neceflary for ftrict reafoning ; or if they can bring themfelves to liften to the propofitions and demonftrations of geometry, when ex- preffed in this way, they will not fo readily admit that there is the fame occafion for fuch fulnefs and accuracy of expreffion on any other fubjeét, not even in metaphyfics; hence the vague, inconclufive, and often abfurd reafonings, which have produced both difguft and diftruft of fuch fpeculations. GRAMMATICAL language, in general, and efpecially the modern languages, afford fuch flow expreflions of thought, that often before we have heard or read the half of a fentence, we apprehend the meaning of the whole of it, and, of courfe, the latter part of it is not merely fuperfluous and tedious, but in many cafes quite difgufting. Ir we could exprefs ourthoughts by grammatical language as quickly and concifely as we can by natural language, and without lofing any thing of that diftinétnefs and precifion which artificial language gives to the expreflion of them, it would unqueftionably be a great improvement in language, in point of agreeablenefs, animation, and force. I doubt whe- ther it would be equally favourable in fcience. Iam difpofed: to think that the flownefs, or even tedioufnefs, of the expref- fion of our thoughts on certain fubjects of profound reafoning, has its ufe, by giving us time and opportunity, and almoft forcing us, to attend to every particular thing, and its relations to other things, about which we reafon. But even this has its limits ; and mathematical demonftration itfelf, as we find it in the writings of the ancient geometers, is but an abridged chain of fyllogifms. And it is ftill further abridged in many cafes, by thofe who are perfect mafters of it, by omitting many of Vo. II. Gg the 232 THEORY of the the more minute-and eafy fteps which thofe who are well ac- euftomed to fuch reafonings quickly and eafily fupply for them- felves, and find pleafure in this quicknefs. and brevity ; while, on the contrary, they are tired and difgufted with that flow. and tedious expofition of every ftep in the reafoning, which to them is needlefs, but perhaps would be neceflary for the in- ftru@tion of thofe of inferior talents and knowledge. A GRAMMATICAL language, as quick as thought, and as. concife as natural language, is manifeftly unattainable. But every approximation to it is valuable. All the moods of verbs, even the indicative and the fimple fubjundtive, are fuch ap- proximations. Ir thefe obfervations be true, with refpect to the indicative and fimply fubjunctive mood, and the plain and tranquil ex- preffion of mere propofition, how much more important and ftriking muft the correfponding differences be, between the concife and quick expreffions of fuch interefting and animated. combinations of thoughts, as interrogation, command, with, &%c. by the grammatical moods of verbs, and the flow, languid ‘enunciations of the fame or fimilar thoughts, by circumlocu- ¢ion and the ufe of additional verbs? Tere is a jult and beautiful obfervation of Loneinus, relating to this fubje@, which will fairly admit of much more extenfive application than he has made of it, and is in truth. _ more important than ‘he féems to ‘have been aware of. He takes notice of interrogation as a figure of rhetoric, by which an orator endeavours to render the expreflion of his thoughts more animated and forcible. Tid” exeva Qayrer rag wevoeis Te woe: eearnrels 3 apm Bm wUTes Tog Tay oY AmoTOW e1Domort cls TeegeemTony EMT OUKTOTERH KOb coPagurecn OUVTEWEL TH REVyomever ; Loncinus de Sublim. Se&. xviii. This opinion he illuftrates, in fome mea- fure, by the manner in which he expreffes it, namely, by the ufe of the very figure of interrogation of which he is treating and ftill ‘better by a very apt quotation from the firft Philippic of. —=-_ SC MOODS of VERBS. 235 of DEMOSTHENES. H Bezreodbe, eure (40ls Weouiovres eodrnrwy wvvdaverbors AUTO THY CLIVOLOLY, hevyEroLs TE HOLIVOY; YEVOITO YH CLY Th HOLWOTELOY, 7 Maxedov ane AOnvesovs naramorcuov, xo roe tov EAAnvev Diomav; rebvyne Dida mos; ov oe A’ arr’ aobever 210° vps dsadeges; Pe, Tue juftnefs of Loncinus’s remark on this paflage, and indeed his general obfervation with refpeét to the animation and force of interrogation, employed as a figure of rhetoric, can, I think, admit of no difpute. But even the truth of it, and our ready acquiefcence in it, implies that he was, and that we too are, fenfible of fomething more animated and forcible in an interrogation, even literally employed, as in common life, than in a circuitous expreffion of the fame thought; elfe it never could have been employed, nor thought of, as an ani- mated figure of f{peech. - Even the fimple interrogation, Who is that? is evidently more animated and forcible, as well as more concife, than I de- Jire you to tell me who that is, or I defire to be informed who that is. The fame is equally obvious with refpect to go, come, do this, te [pectem, te teneam, vu pev beos dorer, if we compare them with I order you to go, I command you to come, I defire you to do this, cupio te fpectare, opto te tenere, Mocomas reg bese vos didovas, oY, Aey— Arco— bees vu do—; which is employing merely the roots, without any inflection whatever of the three verbs, the meaning of all of which, to wit, affirmation, wifh, and giving, is briefly, but fully and clearly, and confequently forcibly ex- prefled by the Greek optative doe, Tue more urgent the occafion is, and the more interefted the paffions become, the more important is the brevity and force of thefe moods to the expreflion of our thoughts. This, which is obvious even in common life, is ftill more ftriking in thofe animated and interefting reprefentations of real life, which we have in dramatic poetry ; to a great part of which it may fairly be faid that thefe moods are effential. _ Gg2 In 236 THEORY of the In the great difcovery fcene in Oedipus Tyrannus, there are not fewer than 150 interrogative and imperative fentences.; any one of which would be murdered, and the effect of the fcene {poiled, by ufing circumlocution by means of a verb of afking or of commanding. In the paffionate fcenes of Lear and of Othello, feveral hun- dreds of fimilar inftances may eafily be found. In the difcovery fcene in Douglas, fome of the fineft ftrokes of paflion, of anxiety, of wonder, of horror, of eager curiofity, are conveyed by means of the moods of verbs, and would be loft in any circumlocution. Was he alive 2 — Inhuman that thou art How couldft thou kill what winds and tempefts [pared ? Even Rowe, amidft all his golden verfe, was not unmind- ful of the force and animation which the moods of verbs give to the expreflion of thought. y —— Does he? Does Haftings ? Reward him for the noble deed, juft Heaven. For this one action, guard him, and di/tingui/b him, With fignal mercies, and with great deliverance ; Save him from wrong, adverfity, and fhame ; Let never fading honours flowri/h round him ; And con/ecrate his name even to time’s end ; Let him know nothing elfe but good on earth, And everlafting bleffednefs hereafter. The poor, forfaken, royal little ones ! Shall they be left a prey to favage power ? Can they lift up their harmlefs hands in vain, Or cry to Heaven for heip, and not be heard? Impofhible! ee _ a oS MOODS of VERBS. 237 Go on, purfue, affert the facred caufe, /fand forth and fave. Fane Shore, act 4. fc. 1» Alas ! I never wrong’d you— Oh ! then be good to me, have pity on me 3 Thou never knew’ft the bitternefs of want, And may"/t thou never know it. Oh! beftow Some poor remain Allow me but The fmalleft pittance. Abt §. THE genius of SopHocieEs and of SHAKESPEARE, and the talents of Garrick and S1DDONs united, could not make fuch fentiments as thofe of Lear, and Othello, and Oedipus, and Lady Randolph, and Fane Shore, interefting, or even tolerable, to any reader or {pectator of tafte and judgment, if they were exprefled in minute detail, by fuch circumlocutions: as the grammatical moods of verbs may be refolved into. Tue fineft inftance that can be given, or indeed fuppofed, of the truth of this principle, we have in Homer, in the admira- ble fpeech of Priam to Achilles, when he goes to beg the body of his fon Hector, This fpeech has been univerfally admired, as perhaps the moft eloquent that ever was compofed. Though it be exquifite in every part, the exordium, and indeed the very firft fentence of it, is by far the moft ftriking and eloquent part of it. This too Homer feems to have felt and underftood perfectly ; for he makes Priam repeat the fame thought, and almoft in the fame words, at the end of his fpeech, by way of peroration, and with a very happy effect. When Priam enters the tent of Achilles, and throws himfelf at his feet, his addrefs: . to him is moft fingularly ftriking. Monoos rareos oeso Seoss emieimen Aysrren, Trius wonee EYa, OAOW ETS YNEKOS avd. Think 238 THEORY of the Think of thy father, O god-like Achilles, old like me, and on the brink of the grave. Pofhibly there is a force and propriety in the | ufe of the aoriftic imperative w»ycas, inftead of the prefent im- perative, which would be more intelligible to Homer’s coun- trymen than it can be to us. Perhaps to them the difference between thofe two forms of the imperative mood might be as great as it is to us between think of and be thinking of, the im- perative of the aorift being a more vehement, fudden and urgent requeft or command than the imperative prefent waov, but yet not difrefpectful, like the imperative perfe€t peuryco, which, I believe, might be addrefled to a flave, but could not, with propriety, be employed by a fupplicant to an equal or to a fuperior. é Some nicety and delicacy of this kind feems to be expreffed in the conclufion of Priam’s fpeech, by the ufe of the impe- rative prefent of one verb, and the imperative of the aorift of another, in the fame line. ADA asdeo bexs Aysrev, avroy T eAEenrov, Miogjoopevos o8 margos- Aideto, aidov, asdeov, is the imperative prefent of osdeowes 3 erenoov is the imperative of the aorift of eacw. The former feems a more tranquil and cool requeft, or rather advice or fuggeftion, and refers to a continued, or frequently repeated, action, ftate, or habit, to wit reverence to the Gods. The latter is a more urgent fupplication for immediate pity and favour;.as if he had faid, Be ever mindful of your duty to the Gods, and mftantly (or at this time, moment, Sc.) have pity on me. WuaTEVER may be thought of thefe {peculations and re- finements, it can never be doubted, that if, inftead of the imperative mood, we were to ufe a circumlocution, to exprefs the warm and vehement fentiments of Priam, it would be in- fupportable ; Arwoowe oe pnracbou oe rarpoc—eidecbos ree besc— avroy chenoos. Such a flow and languid expreflion would have fuited 28 aS MOODS of VERBS. 239 fuited ill with thofe fentiments and actions. which Homer attri- butes to Priam: Indeed his actions, without his {peaking at all, would have been more pathetic and perfuafive than they would have been with fuch imperfect and improper expreflions of his thoughts; but by means of the moods of verbs, it is poflible to unite, to a certain degree, the advantages both of natural and of artificial language. We have many inftances in poetry, as well as in oratory, of the figurative ufe of fuch moods as I have juft now been con- fidering, and the effet of it, in enlivening and enforcing the -expreflion of the poet’s fentiments, is very ftriking. Can ftoried urn, or animated bu/ft, Back to its manjion call the fleeting breath ? Can honour’s vowe provoke the filent duft ? Or flatt’ry footh the dull cold ear of death ? What female heart can gold defpife? What cat’s averfe to fifo ? Gray. But while I thus point out how great a {hare the concifenefs of the expreflion of many thoughts, by means of grammatical moods, has in giving animation and force to language, I beg it may not be thought that I impute the animation and force of fuch expreflions entirely to that concifenefs. Many of the thoughts to be expreffed are in themfelves highly animated and interefting ; and, on this very account, concifenefs in the expref- fing of them is peculiarly agreeable, and even neceflary. VI. Tue fixth and laft conclufion refpecting the import of the moods of verbs, is very intimately connected with the pre- ceding. It relates not merely to the brevity and quicknefs of the expreflion of thought, but to the intimate combination, and fimultaneous exhibition, of the figns of thoughts, which thoughts 240 THEORY of the thoughts are themfelves co-exiftent, and moft intimately com- bined. To this great property of thought, which has never yet been confidered with that attention which it deferves, in- flections of words, and efpecially the moods of verbs, do fome Kind of juftice ; while circumlocution of every fort, even though it exprefs all the different thoughts, does manifeft violence. To explain this fully, would require a much longer and more elaborate difquifition concerning the nature of human thought than would be proper here. It may, however, be, in fome meafure, underftood, by obferving, that grammatical language, though the nobleft of all human inventions, or, as fome conceive, an art beyond the reach of our unaflifted fa- culties, and imparted to us by a kind of immediate infpiration from Heaven, is, by no means, abfolutely perfect, nor even capable of ever becoming fo. It anfwers admirably well for denoting many of our thoughts, either fingly, or in various relations, particularly in fucceffion, and is even fubfervient to the precifion and fteadinefs of thought, by the fubdivifion or decompofition of the mafs of thought which it requires, and obliges us to make, not merely for the inventing, but for the learning, and the occafional ufing, of language. It is indeed in many ways the chief inftrument in the improvement of hu- man reafon. But in one very important refpect, it is almoft in- congruous with the nature of that thought which it is employ- ed to reprefent. Tue artificial figns, whether audible or vifible, that we ufe in grammatical language to denote our thoughts, are neceflarily arranged, either in the order of time, or in that of place; and when we fee the vifible figns arranged in the order of place, (as in reading) we attend to them, and occafionally give them audible utterance in the order of time. : Bur our thoughts themfelves are not arranged in either of thofe ways. It is felf-evident, that thoughts cannot be arranged in the order of place; at leaft this will be felfevident to every perfon MOODS of VERBS. a4t perfon who can fhake off the long eftablifhed philofophical hy- pothefis of zdeas, or images of things in the mind, as fubfer- vient to thought ; or even who will take the trouble to diftin- guith between fuch fuppofed images, which, like thofe of a magic lanthorn, may be conceived to be arranged in place, and the thoughts correfponding to them. And I believe it is equally certain, though not equally evident, that many of our thoughts are not even arranged in the order of time, but are related to one another in a very different manner, which is well under- ftood, as being perfectly familiar to us, but which cannot be reprefented merely by the arrangement of words. THAT many of our thoughts are arranged in the order of | time, or, in other words, that there is a train or fucceffion of thought, is, I think, too evident and generally acknowledged to require either proof or illuftration ; and this relation among our thoughts may be fairly and completely reprefented by the fuc- ceffion of audible words, and of courfe with fufficient pro- priety by the arrangement of vifible words. But this is perhaps the leaft important of all the various re- lations of thought. Befides the train or fucceffion of thoughts in time, there is often at once a great combination or mafs of thoughts varioufly related to one another. Such a mafs of “thought we fometimes wifh to impart entire and all at once; fometimes we wifh to analyfe it, to break it down, as it were, and either to attend to it ourfelves, or to impart it to others, that they may attend to it, piece-meal. For the latter purpofe, the arrangement of words in gram- matical language is admirably well adapted; for the former, it is in a great meafure unfuitable. It gives disjointed, and in fucceffion, thofe thoughts which we have united and fimulta- neous, and wifh to communicate in the fame way. Hence the importance of the great principle of infletion in grammatical language, and its fuperiority to mere arrangement of words; Hence too the fuperiority of thofe,languages which, having many and diftinét inflections, admit of great variety Vot. Il. Hh of ~ 242 THEORY of the of arrangement. This is fcarce required for mere reafoning, but is of great value in poetry and eloquence, not only in point of found, but fenfe, both with refpea& to the force of it, and the juftnefs of the expreflion of the various complicated and fi- multaneous relations of the things conceived. Now, to infleGion the moods of verbs plainly belong ; and by them we exprefs the fimultaneous combinations of the thoughts or exergies of affirmation, interrogation, wifh, com- mand, and many others, with the thought or accident exprefled by any verb; and when we exprefs thefe combinations by refo- lution or circumlocution, by means of two or more verbs, we, in fome meafure, feparate in words what was moft intimately blended in thought, and reprefent as fucceflive what we con- ceived, and wifhed to impart, as fimultaneous. Tuts doctrine will not be admitted by thofe philofophers who have aflumed or admitted as a principle, that a perfon can have but one thought (or idea) at once. But this principle I difregard, as I know of no proof of it, and as it feems to me inconfiftent with many obvious phenomena, and even repug- nant to direct confcioufnefs. 1 fufpect that it has been adopted in confequence of very carelefs obfervation, both of thought and of language ; and I think it of fome confequence to be aware of the error of fuch an opinion ; for though it may appear, at firft view, of little importance, whether we admit the fimul- taneous prefence, or only the immeafurably quick fucceflion of different thoughts, yet the difference of thefe two principles may be found very great, on tracing their feveral comfequences. With refpe& to the moods and other inflections of verbs, I cannot think it fhould admit of doubt, that they are employed and underftood to denote combinations of fimultaneous thoughts, no one of which can reafonably be faid to occur to. the perfon {peaking, or to be apprehended by the perfon hearing, before the reft. Specto, /pectemus, fpecta, fpectaverunt, fpectavitne ? All nouns, even proper names, denote a congeries of circum- ftances, . MOODS of VERBS. 243 {tances, or a ma/3 (not a train) of thoughts, whic’ are conceived at once, and cannot be feparated and confidered in fucceflion, but by a very laborious effort. Many fingle words, for exam- ple prepofitions, and moft fentences, denote fome kind of rela- tion; but we cannot, I think, conceive a relation, without thinking at once of the things (two or more) that are related, as well as of the relation (both in its generic and in its {pecific nature) that fubfifts between them. MATHEMATICAL propofitions are expreflions of co-exiftent thoughts, the objeéts of which (at leaft in pure geometry) bear no relation at all to time ; and thefe, to be conceived rightly or at all, muft be conceived at once. Any ordinary perfon can do this with refpect to an axiom, or even a very simple propofi- tion; and good mathematicians can do it with refpect to very long and complex theorems, fome of which ordinary people find almoft infuperable difficulty in apprehending. Part of this difficulty (as I feel very plainly in myfelf) arifes from the number of things and relations that are to be thought of at once, and accordingly is not immediately removed, nor is it obviated, by even the moft diftin@ and juft conception of every one of thofe things and relations taken fingly. Correfponding to this difficulty in a learner, and juft the oppofite of it, is that - of ateacher of almoft any fcience, and often of a f{peaker, ei- ther in a public affembly or in common converfation, who may have a clear and juft conception of a great mafs of thought, which he withes to communicate to others, but can fcarce con- trive to do fo, nor knows he well where or how to begin; and perhaps when he has begun right, or at leaft diftin@ly, foon falls into fuch confufion and perplexity, as makes him almoft or quite unintelligible to his hearers, even when he under- ftands himfelf perfectly, and may know that another, more _ fortunate in the talent of communicating thought, has be/ped him out, or expreffed diftinétly and properly that very meaning which he was endeavouring in vain to convey to his hearers, : Ia ee though 244. THEORY of the though as well acquainted as the other with the proper words to denote every portion or fragmentof the great congeries of thought. Tuere is reafon to think, that there are much greater dif- ferences among mankind, with refpec to that capacity or com- prehenfivenefs of mind, by which they take in, or attend to, at once, a variety of objects and relations, than there are with refpect to the conception or fimple apprehenfion of any one of them by itfelf. And that comprehenfivenefs of mind, which. is in truth a moft valuable talent, both with a view to fpecula- tion and aétion, may be improved by various means, efpecially by frequent exercife, and may be aflifted by many expedients. A pERsoN who, when he firft begins the ftudy of mathe- matics, can apprehend only the axioms and the fimpleft propo- fitions, after a few months or years employed in that ftudy, will eafily apprehend, not only the propofition, but the demon- ftration of complex theorems, which are mafles of co-exiftent thoughts, that could not be expreffed by the fucceffion of words in lefs than feveral minutes, nor by the arrangement of words in lefs than feveral pages. Tue fucceflion, and even the beft arrangement of words are found fo unfuitable for the expreffion of fuch combinations of thoughts as occur in many mathematical propofitions, that other expedients are very generally and properly employed to affift us in making or in communicating thefe complex operations of thought. DraGrams and algebraical formule anfwer thefe purpofes ad- mirably ,well. Neither of them, ftrictly fpeaking, is effential to mathematical demonftration ; but both of them are highly ufeful in it, and many good mathematicians would be at a ftand if they were deprived of them. A good con/iruction or diagram will fuggeft inftantaneoufly the whole congeries of thought which conftitutes both the propofition and the demon- ftration of a theorem. A good expreffion in algebra anfwers nearly the fame purpofe ; and fuggefts, almoft inftantaneouily, fuch a mafs of thought, without confufion, as never could have MOODS of VERBS. 245 have been conveyed by common words in fucceffion and ar- rangement, by reafon of the great length of time required to utter or to read them; in the courfe of which time, many of the particular thoughts compofing the mafs would be gone, be- fore others were fuggefted or produced, with which they ought to be combined, to enable us to perceive their various re- lations. THE analogy between the diagrams and formule of mathe- maticians, and the moods of verbs, and other infle€tions of words in common difcourfe, which I endeavour here to point out, is not fo diftant as may at firft fight appear. They agree in this, that all of them exprefs, infinitely better than any fuc- ceflion. or arrangement of words can do, combinations of thoughts, which are almoft or perfeétly co-exiftent, and which, by means of them, are apprehended more juftly, more quickly, and more forcibly, than otherwife they could be. AND let it be remembered, that the obje€ts and relations: which occupy the minds of geometers, though more abftrufe, ‘and requiring a greater voluntary effort of thought, than thofe which engage the attention of ordinary men, are not more numerous or complicated, but in general much lefs fo; and that they admit more eafily, and with lefs injury, of be- ing broken down, and given fucceflively, at leaft with a view to demonftration, in which no great quicknefs is required. Hence, ina great meafure, the clearnefs and force of mathe- matical reafoning. Tue mafles of co-exiftent thoughts which we often meet with in common difcourfe, or in elegant compofition im full periods, are of incredible extent, as appears on our’ endeavour- ing to analyfe them, and exprefs in detail the various parts. of the complicated meaning which we apprehend. Tue firft feven lines of the Iliad, containing about forty words, and the firft fixteen lines of Paradife Loft, containing about one hundred and twenty words, denote refpectively a mafs 246 THEORY of the mafs of co-cxiftent thoughts, not a train of fucceflive thoughts. The thoughts expreffed in them are much more numerous than the words, as plainly appears on endeavouring to explain or define all the words, even in their moft general radical mean- ing, which is rendered {till more complicated, that is, expref- five of more thoughts, by the inflections of many of them, efpecially in the Greek lines. We can attend to different parts of that mafs of thought, at our pleafure, regardlefs of the reft, or we may take in, more or lefs clearly, the whole at once, as the authors certainly did in compofing the lines; or we may attend accurately to the meaning of every word fingly. And if this be done very flowly, and with long intervals between every word, the meaning of the whole lines, as a fentence or period, will be loft; nor can we, in fuch a way of reading or pronouncing Homer’s or Miiron’s lines, make fenfe of them, but by a voluntary and painful effort of memory, to retain, or recal, the former words and thoughts, till the latter are fug- gefted and duly combined with them. The words of the fineft period that ever was compofed, when read or uttered one by one at the interval of a few minutes, or even feconds, will no more have the effect of the period properly read or uttered, in point of thought, than an equally flow founding of the various notes in ‘a piece of mufic will have, in point of melody or harmony, the effect of the mufic properly performed ; or than the fucceffive and flow infpeétion of the different rainbow co- lours will have, in giving the perception of white, which they would give, if contemplated at once properly blended, or even if contemplated in very quick fucceflion. Arrer all, perhaps the beft illuftration of this important principle is that of the Indian orator, mentioned in the Origin and Progrefs of Language, Vol. IV. p. 22. “ Ihave heard a “ ftory” (fays the learned author of that work) “ of an Indian “ orator, who, at a congrefs or ta/k, as they call it, with the * then Britifh governor of Florida, Commodore JonnsTon, “ being MOODS of VERBS. 247 ‘‘ being frequently interrupted by the interpreter, who ftopped “ him in order to explain to the governor what he faid, at laft “ loft patience; and, fays he, I can bear this no longer. My “ difcaurfe, cut thus into pieces, can have no more effect than the “ water could have on that great beafi of yours, (pointing to a “ faw-mill at fome diftance) if it were to fall upon it drop by “* drop. Now, this orator muft have had as perfe& am idea “ of the flumen orationis, and the effects it produces, as a Cr- ** cero or DEMOSTHENES.” The fame author has many juft ‘and ftriking remarks on the force, the beauty, and the compre- henfivenefs of compofition. in, periods, (page 239, 240.) and of infleétion of words, (page 14. et pafim.) And all of thefe ob- fervations may fairly be applied to the moods of verbs. What proper periods are to very great and complicated maffes of thought, infleGtions, including moods, are to the more familiar and fmaller combinations of thoughts, which we almoft every moment experience, and wifh to exprefs united as we conceive them. : * * * # As I think it of effential importance, im all fcientific invefti- gations, never to blend sypothefes, or matters of opinion, with evident matters of fact, and {trict inferences by indudtion from them; it is proper to point out, that no hypothefis what- ever, with refpect to the original ftate, or the formation, or the improvement, of language, is aflumed in this Effay. Ir has generally been fuppofed, or taken for granted, in all reafonings about the theory of language, that, in a very early period of its progrefs, perhaps from its very origin, it was rude and fimple, almoft deftitute of infleGtions, (fuch as the moods of verbs) and in a great meafure or wholly monofyliabic ; and that all manner of infleGions and modifications, by compofi- tion, by augment, or otherwife, were gradually given, in a flow progrefs, to thofe monofyllabic roots, by deliberate human contrivance. THAT 248 THEORY of the TuHat this has taken place, to a certain degree, in many languages, and to a very great degree in fome, cannot be dif- puted. In Greek, for example, we can, with the greateft eafe, refer fome thoufands of words (counting every variation by inflection, by augment, or by compofition, as a different word ) to one fimple root, fuch as Azy. In fome languages, it feems probable that the ufual progrefs and improvement has not taken place,they remaining very long in a monofyllabic ftate. This has certainly been the cafe with the Chinefe language, for fome thoufands of years ; probably, in part at leaft, the confequence of that great, civilized and ingenious people perfifting in the ufe of hieroglyphic characters, immediately fignificant of thought, without any direé relation to audible words, like the Indian figures that we ufe in common arithmetic, and never adopting the noble invention of alpha- betic characters, dire€tly expreflive only of founds, the combi- nations of which founds are immediately fignificant of thought. But fome ingenious men have been of opinion, confirmed, as it is faid, by actual obfervations of the languages of fome very rude nations, efpecially in America, that fome languages at leaft, perhaps all, were, in a very early period, polyfyllabic to a moft inconvenient degree; the words of them being very long, and fignificant of very complicated meanings, like phrafes or whole fentences of ours. It has been thought, that thefe unwieldy long words may have been gradually broken down into fhorter, and even into monofyllables; which, in a further progrefs, might be varied again by inflection and other- wife. Ir is certainly conceivable, and not very improbable, that mankind, in their firft rude attempts towards forming a lan- guage, might not perceive the vaft advantage to be gained by fubdividing, and breaking down as it were, the great mafs of thought which they conceived, and wifhed to communicate. They might attempt to give utterance by one word to all the mafs MOODS of VERBS: — 249 mafs of thought which they had to exprefs. Thus, Give me a bow, might be expreffed by one word ; Give me food, by ano- ther ; I faw a friend, an enemy, a beaft, a man, a woman, by as _ many different words ; no diftinction being made between noun and verb, agent or fubject, mood or accident. But the incon- venience of fuch a language would foon be felt and. gradually remedied ; and the firft and moft natural ftep would. be to em- ploy the fame word for give, whatever was to be given; one word for /ee, whatever was feen, and to employ different nouns: to denote the fubftances given or feen. But this implies the pre- vious exercife of a faculty of a higher order than that of di- viding the voice, or forming articulate founds. The fame power that has made us Megorec, hath alfo taught us to divide our thoughts. Indeed, without: this nobler faculty, which feems to be denied to all the inferior animals, and is fcarce per- ceptible in man during the firft months of his life, the other would be of little value, Several animals have learnt to divide - the voice, or to articulate, better than many unfortunate indi- viduals.of our own fpecies, who were deficient in the proper organs of voice and fpeech ; but none of them have ever learned to make ufe of {peech as we do. They probably always, and children for fome time, make no attempt to feparate or analyfe their thoughts. Till that be done, which our fuperior faculties foon enable us to do, the very fundamental notions of the parts of {peech cannot be conceived, grammatical language cannot be contrived, nor even if it were prefented to us ready made, mall the perfection of the Greek of DEMosTHENES, could it be either learned or employed. On the former fuppofition, (page 247.) the moods of verbs muft be conceived to be added to them in the courfe of the formation or improvement of language. On the latter fuppofition, they muft be conceived to be /e- _ tained in language, and to bea remnant of a very rude polyfyl- Vor. IT. Ti labic: 250 THEORY of the MOODS, &e. labic ftate of it, which, though inconvenient on the whole, had fome advantages. SomE expreffions occafionally employed in this Differtation, may feem to favour or to imply the former fuppofition. But that is not meant. Neither hypothefis is affumed in the reafon- ing. Thofe expreflions have always been employed with cau- tion and diftruft, and merely in compliance with cuftom, a deviation from which might have feemed to imply the oppofite hypothefis, and would have required a new, and, in fome mea- fure, an embarraffed and uncouth mode of expreffion. Boru hypothefes are equally indifferent to this Theory of the Moods of Verbs, which is independent of all hypothefes, and does not extend to the Aiffory of the firft appearance of moods, nor to the queftion, whether they be added to language in its progrefs, or retained in it when perhaps many other inflections were laid afide. They may be partly both, or their hiftory may be different in different languages. All that is attempted in this Theory of the Moods of Verbs, is only to inveftigate the nature and import of them more accurately than had been done before, and to fhew what valuable, and almoft indifpenfi- ble purpofes they actually ferve in the communication of thought. Vil. ee ae ee aa ee ee VIL. An Essay on the CuaractTer of HAMLET, in SHAKESPEARE’s Tragedy of HAMLET. By the Re- verend Mr THomaAs ROBERTSON, F.R.S. EpIN. and Minifier of Dalmeny. [Read by Mr DALZEL, Secretary, Fuly 21. 1788.] HE Character of Hamuer, has been varioufly judged of by critics, and what might be expected, it has been ftill more varioufly reprefented by performers upon the ftage. SHAKESPEARE himfelf feems to have apprehended that this would happen ; and that injuftice would be done to a hero, who probably, in his eftimation, ranked higher than any other that he has brought into the drama. Wuen Hamtet was dying, he appears, upon this account, to have made him fpeak as follows to HoRATIO. —— Horatio, I am dead ; Thou liv’ft; report me and my caufe aright To the unfatisfied. Oh good Horatio, what a wounded name, Things ftanding thus unknown, fhall live behind me. If thou didft ever hold me in thy heart, Abfent thee from felicity a while, To tell my tale. Hamuer was here in a fituation in which men in general {peak truth; and he was befides {peaking to a confidential Lee) friend, 252 An ESSAY on the friend, who could not be impofed upon; a friend who, from the ftrongeft poffible attachment to him, had been about to put an end to his own life, but was reftrained from his pur- pofe, in order to explain to a “ harfh world,” the ftory of Hamtet, after he was no more. AND when HAmMteT dies, Horatio pronounces this eu- logium : Now cracks a noble heart! good night, /weet prince 5 And flights of angels fing thee to thy reft. SHAKESPEARE, in thefe paflages, not only refers to the par- ticular part which Hamuet had atted, with refpect to the ufurper, (which he calls HAMLET’s caufe) and which, upon being -explained, would vindicate what he had done. He plainly intimates by the mouth of Horatio, his own idea of Hamtet’s character, in all other refpeéts; as not only he- roic and fplendid, but perfectly confiftent, amiable and jutft ; and further, from the danger that Hamuet himfelf, as well as his caufe, might be expofed to the cenfure of the unfatisfied, he feems ftrongly to infinuate, that the chara¢ter could not be com- prehended, unlefs an enlarged view were taken of it, and of the different fituations in which it had been placed. Hamuet’s conduct.in having put the king to death, was, in a great meafure, already juftified, in the very hearing of the lords, and other attendants upon the court, who were witneffes to it. The queen, who had juft expired in their fight, had faid fhe was “ poifoned.” Hamtet had called out “ villany !” Even Laerres, the treacherous opponent of Hamtet, had declared, “ the king, the king’s to blame—lIt is a poifon tem- “ pered by himfelf’? And Hamuet, upon ftabbing the king, had exprefsly charged him with “ murder.” All this paffed in the prefence of the court, who would hence be led to view the king as guilty of having poifoned the queen, and therefore as juttly - CHARACTER of HAMLET. 253 juitly put to death by her fon. It is true indeed, the king had intended to poifon, not the queen, but Hamuet ; but neither the court, nor HAMueT himfelf, knew this; none but LAaErR- TES was privy to it; and as he immediately expired without faying more, the fecret was to laft for ever. Hamctet, therefore, could have but little caufe to fear that he fhould leave a wounded name behind him for thus revenging his mother’s death. What troubled him, was the thought that pofterity would condemn him for not having, before that time, revenged the murder of his father. This was the reproach with which he had often charged himfelf; for at the beginning he had refolved to act quite otherwife, and had exprefsly pro- mifed to his father’s ghoft, with the utmoft {peed to avenge the murder. Hafte me to know it (faid he in the firft aét) that I with wings as fwift As meditation or the thoughts of love, May fweep to my revenge. His fervent defire now therefore, was, that Horatio, who knew all, might furvive him, not merely to reveal the murder of his father, but to make known to all men the infinite indig- nation which this excited in him, and the plan of vengeance which he had laid. Horatio, for this purpofe, would de- {cribe the two great and leading features in the character of HAMLET, pointed out by the finger of SHAKESPEARE himfelf, that “ noble heart,” and that “ fweetnefs,” with which at once he was diftinguifhed. Upon the latter of thefe two, Horatio would particularly explain the {cheme of counterfeiting mad- nefs, which that fweetnefs had fuggefted; and which, at the fame time, would fave Hamuer from pafling for a real mad- man in the opinion of pofterity. As 254 An ESSAY on the As certain critics, however, have thought, fome, that there is an incongruity, others, that there is an immorality, in the cha- racter of this perfonage, it becomes a duty in the charitable to juftify the poet, and to revive the office of Horatio, in the defence of his hero. To underftand the character of HAMLET, we had beft per- haps take it at two different times, before the death of his fa- ther, and after that period ; for while the fubftance is in both the fame, the form is exceedingly different. Tue former of thefe, and which was his radical and general | character, was a compound of many particular qualities ; an exceeding high elevation of foul, an exquifite fenfibility to vir- tue and vice, and an extreme gentlenefs of {pirit and fweetnefs of difpofition. With thefe were conjoined the moft brilliant and cultivated talents, an imagination tranfcendently vivid and ftrong, together with what may be called, rather an intuition, than an acquired knowledge of mankind. And there may be added ftill, a fingular gaiety of {pirits, which hardly at any af- ter period, the very gloomieft only excepted, feems to have failed him. TuesE being the fundamental properties of HAMLET, we have only to fee what effects would be produced upon /uch a man, by the villany of his uncle, the murder of his father, the inceft of his mother, and the ghoft of his father calling upon him for revenge. Thefe were the dreadful fprings which put HAMLET into motion; and in which ftate, SHAKESPEARE brings him upon the ftage. I sHOULD venture to imagine, (both from the nature of 2 character fo extenfive, and from the various motives to aétion) that SHAKESPEARE had no particular plan laid out in his mind for HAMLET to walk by, but rather meant to follow him ; and, like an hiftorian, with fidelity to record, how a perfon, fo fin- gularly and marvelloufly made up, fhould act; or rather, (to ufe the CHARACTER of HAMLET. 255 the term employed by the king) to defcribe the “ transformation” which he fhould undergo. For this purpofe, he kept an atten- tive and an undeviating eye upon HAMLET’s previous and ge- neral charaéter, (fuch as he had figured it to be) without any ' intention to add a fingle new feature, but only to take in fuch new afpects of it, fuch new exertions of his powers, and fuch new fchemes of conduét, as fhould naturally flow from his new fituations. Tuts being fuppofed, the new colours under which HAMLET appears will be found entirely confiftent with the old, and f{pringing lineally from them; an indignation and fenfibility irritated to extreme; the deepeft anguifh; at times a mortal melancholy ; a counterfeited madnefs, in order to wait for op- portunities of revenge; and a degree of real phrenzy, to which he feems, more than once, to have been actually driven by the ftrength of his feelings, through force of which he was fometimes upon the point of betraying his own fecret. Still, however, there was neither violence, nor forrow, nor me- lancholy, nor madnefs, in the original and natural ftate of his mind. ; Wuart feems to explain the whole of Hamuet’s condué is the latitude of his charaGter. He was at once a polifhed gen- tleman, a foldier, a fcholar and a philofopher ; as in the excla- mation of OPHELIA: O what a noble mind is here o’erthrown! The courtier’s, foldier’s, {cholar’s, eye, tongue, {word. At one time, mild, courteous and contemplative ; at another, animated with the keeneft feelings ; upon occafions, all wrath and fire ; looking down, at all times, as if from a fuperior orb, upon whatever was little, infincere or bafe among men. Now, 256 4n ESSAY on the Now, in fuch an aflemblage of qualities, combining to form the broad character of HAMLET, SHAKESPEARE appears to have feen, that they were balanced in fuch an oppofite manner, that one clafs of them fhould counteraét, and render inefficient the other. It is this that fuffered nothing to be done; it is this that conftantly impeded the action, and kept the cataftrophe back. Refentment, revenge, eternal indignation, ftimulated HAMLET at one moment; at the next, we have the mere un- bending and reéoil of thefe paflions ; and not only this, which was tranfient, but there followed, almoft at the fame in- {tant, that gentlenefs which fo feldom left him. From this, he could not, at any time, act in cold blood; he could ftrike only in the fierceft_ moments of provocation; then ‘“‘ could he “ drink hot blood!” In the general tenor of his mind he could do nothing ; he was like Samson, when his ftrength was gone from him. MeaAnwuite, he is almoft conftantly chiding himfelf for dull mettle, dull revenge, want of gall; a felf-reproach which, in fome fcenes, breaks vividly out; as upon the occafions where he faw a mere player weeping over Hecusa, and when he was told that the delicate prince FoRTINBRAS was marching at the head of his troops to rifk his life for an “ egg-fhell.”. Hamter, in fhort, was not formed for action. . Upon the fluctuation of his mind between contriving and executing, between elevation, fenfibility and gentlenefs, hangs the whole bufinefs of the tragedy. ; In fuch a ftate of Hamuer’s frame, the project of counter- feiting madnefs occurred to him with great confiftency. It was a device to which his nature led ; bent upon vengeance ; defti- tute of refolution direétly to gratify ic; affuming therefore the cloak of infanity, in order to Jull fufpicion, and to watch at leifure for thofe occurrences which time or chance might pre- fent. To fecure, by this fidtion, his perfonal fafety was, in Te CHARACTER of HAMLET. 25% no degree, his view ; for “ he did not fet his life at a pin’s fee;” but, by means of his life being preferved, to embrace the op- portunities of revenge. It was from the fame foftnefs in his nature, that he afterwards {trove to make himfelf believe, that his father’s ghoft might be the devil trying to “ abufe him ;” and which fcggefted to him the ftratagem of getting a play to be performed before the king. His anxious adherence to the projeét of counterfeiting mad- nefs, to which he made every thing elfe give way, explains his rudene/s, as Dr JOHNSON calls it, to OpHexra ; for to deceive the beloved OpueEtia into a belief of his madnefs, and to in- fult er, was the fureft of all means to make it believed that he was really mad. And this alfo accounts for his making her brother LAagrrtes believe, that the rough treatment he gave him at his fifter’s funeral, proceeded not from love to OPHELIA, its true caufe, but from diftra€tion ; and which is ridiculoufly called by Dr Jounson, a “‘ falfehood unfuitable to the charac- © ter of a good or a brave man.” HAmuet was then in the very prefence of the ufurper, and, on that account, induftrioutfly “ proclaimed,” that what he had done, proceeded from madnefs. ConNECTED with this point, it has been thought vain by fome critics *, to juftify SHAKESPEARE in his making HAMLET forget (as they think) Opuera fo foon after her death; in- ftead of which, he fhould have waited, they fay, for the effect which time has upon the change of feeling ; and Dr Jonnson has remarked that “ time toiled after him in vain.” But I fhould apprehend that this is entirely to miftake the character. Time toils after every great man, as well as after SHAKESPEARE. The workings of an ordinary mind keep pace indeed with time ; they move no fafter; they have their beginning, their middle, and their end ; but fuperior natures can reduce thefe into a point. They do not indeed fupprefs them ; but they fufpend, or they lock Won, TI. Kk them * Mirror, &c. 258 An ESSAY on the them up in the breaft. It is the very mark and prerogative of a great foul, upon great occafions to outrun time, to {tart at once, without fenfible tranfition, into another period. Even a common foldier, in the heat of action, were his deareft companion to fall by his fide, would not (although he could) drop his arms and mourn overhim. Ina fimilar ftate, but infinitely more inter- efting, was HAMLET at this time. And if doubts fhould ftill be entertained about the exiftence of HAMLET’s love to OPHE- LiA after her death, the queftion can be brought to the fhorteft iffue. Hamuet himfelf will anfwer, That his love for OpHE- LIA was greater than ever. When Laerrres, half-delirious himfelf with grief for his fifter’s madnefs and death, leaped into her grave, and imprecated “ ten times triple woe upon the “© curfed head of him (HamuteT) who had deprived her of her ** moft ingenious fenfe;’? HAMLET burft upon him at once from his concealment, like thunder from a cloud ; What is he whofe griefs Bear fuch an emphafis ? whofe phrafe of forrow Conjures the wand’ring ftars, and makes them ftand Like wonder-wounded-hearers ? This is I, Hamtet the Dane— [leaps into the grave. Why, I will fight with him upon this theme Until my eye-lids will no longer wag. I loved Opuetia ; forty thoufand brothers Could not, with all their quantity of love, : Make up my fum. What wilt thou do for her? Come, fhew me what thou’lt do. Woo't weep? woo't fight? woo’t faft ? woo’t tear thyfelf? Woo’t drink up Eifel, eat a crocodile? I'll do’t—Doft thou come hither but to whine? To out-face me with leaping in her grave ? Be buried quick with her, and fo will I. ore. CHARACTER of HAMLET. 259 His love had been only the deeper embofomed ; it had become too facred to be feen; and like fire, when pent up, it had ac- quired greater force. THERE feems alfo to be a miftake in the attempt which fome * have made, in juftification of SHAKESPEARE, to re- concile the melancholy to the jocularity of Hamuet. For his jocularity, I fhould rather conceive, fprung more from the elevated than from the melancholy parts of his nature. He was not, ftrictly fpeaking, a melancholy man; although it be true that, at times, he was plunged into a ftate of genuine and deep dejection. In fuch a ftate, and in certain kinds of it, we have heard of the joy of grief, and can underftand it—fome- thing fweetly grave and penfive ; but the gaiety and pleafantry of grief are things which probably never exifted. It is, on the other hand, the exclufive at of a great mind, to make truce- with forrow; to difmifs the deepeft anguifh ; to put mirth in its ftead ; and Ham tet, in fuch fcenes, was only for a little re- fuming his ftrength. Even the melancholy which is afcribed to him, and which indeed he afcribes to himfelf, was often not melancholy, but wild contemplation and reverie. THERE are many fimilar inftances of the connection between elevation and pleafantry, both in the charaéer of nations and of individuals. The Spaniards, for example, are defcribed to be of a grave and lofty {pirit; yet among no people is there “more humour. Individuals of this caft are not unfrequently to be met with in every country. Mo.xiere may be inftanced, who was one of the moft ferious and refpectable men that ever lived ; and yet no writer has had fuch a propenfity to farce and buffoonery ; his plays being in general juft the counter-parts of himfelf. It is upon fuch principles, I would venture to explain the pleafantries of HAMLET; in which he rofe up, at times, KE 2 from * Mirror. 260 An ESSAY on the from an abyfs of anguifh, to make a mere fport of human fuf- ferings. Tue caufes of HAMLET’s dilatory progrefs have been already pointed out in general; and the more narrowly we take a view of him, the more we fhall always find his fenfibility to be, in the firft moments, fuch, as led to inftant and mortal aétion, while his gentlenefs, like an equal weight on the other fide, counteracted its whole force. SHAKESPEARE has defcribed him, in the cool ftate of his mind, as averfe, and even fhocked, at the thought of killing. His mother faid, that, in this ftate, he was “‘ as patient as the female dove.”” If we take his own account of himfelf, he was a coward: Now, whether it be Beftial oblivion, or fome craven {cruple Of thinking too precifely on the event— A thought which, quartered, hath but one part wifdom, And ever three parts, coward—I do not know, Why yet I live to fay, This thing’s to do. THERE was a fuperftition alfo in Hamuet, which pre- vented him from putting the ufurper to death, when in the aé& of prayer. For the reafon he himfelf gave for deferring this, was, that if he killed the king in the midft of his devotions, be would in fa be doing him a good’ fervice, “ fending a ** villain to heaven.” Why, this is hire and falary, not revenge. He took my father grofsly, full of bread, With all his crimes broad blown, as flufh as May ; And how his audit f{tands, who knows fave Heaven ? He put up his fword, and waited till he fhould find him en- gaged CHARACTER of HAMLET. 261 gaged in drink, rage, inceft, gaming, {wearing, or other act that had “ no relith of falvation in’t ;’’ Then trip him, that his heels may kick at Heaven, And that his foul may be as damn’d and black As hell, whereto it goes. Tue fentiments in this laft paflage have been confidered as the moft difficult to be defended in the whole character of Hamtet. Without having recourfe to a defence of them up- on the principle of retaliation, and other pleas, there feems to be ground for an explication of a very different nature, founded upon what appears to be the real character of this perfonage, and altogether exculpating him from the charge of thofe horrid difpofitions which he has been fuppofed here to poffefs. Hamcer, in thefe lines, (if it may be allowed to offer a conjecture) was really zmpofing upon himfelf * ; devifing an excufe for his averfion at bloodfhed, for his cowardice, his ‘‘ craven “ feruple.” In the firft moments, he propofes inftantly to ftrike—“ now YH do’t.” His ordinary foftnefs immediately recurs ; and he endeavours to hide it from himfelf, by project- ing a more awful death at a future period, but which he feems never to have thought of afterwards, and which was not at all confonant to his general character. Indeed, what the king him- felf faid of him afterwards, upon bafely propofing to LaErres to ufe “* a fword unbated,” is a fufficient proof that there was nothing dark or malignant in his nature. — He being remifs, Moft generous, and free from a// contriving, Will not perufe the foils. THE * Since writing this Effay, ) have’ the pleafure to find, that the fame idea has oc- curred to Mr Profeffor Ricuarpson, in his additional obfervations on Hamter; and whicl: he has fuccefsfully enlarged upon. 262 An ESSAY on the THE execution of his two fchool-fellows, RosENCRANTZ and GUILDENSTERN, in confequence of an artifice which he con- trived againft them, has alfo drawn the cenfure of critics. But is there any evidence that HAMueET thought them unacquainted with the mandate which they carried for ftriking off his head in England? Whether they were in fact privy or not privy to this, is not the queftion. Did not Hamuet believe they were privy to it, and even were fond of it? “ Whom I will truft ** (faid he early) as I will adders fanged.”” And fpeaking af- terwards to his confident HoraTio, he added, Why, man, they did make /ove to this employment 5 They are not near my confcience. That is, my confcience does not upbraid me; the cruelty lies not with me, but with them. And in this conduct of HAMLET, to the companions of his early days, does SHAKESPEARE prove his {killin human nature ; the itrongeft hatred fucceeding, upon fuch occafions, to the ftrongeft friendfhip: For that they were his fchool-fellows, he would confider, and with reafon, as a great aggravation of their guilt. In all other refpeéts, the character of Hamuer ftands con- feffedly fair and great. He moved in the higheft {phere of men ; pofleffled an elevated and comprehenfive mind; pene- trated through every character ; knew the whole of human life; faw nothing noble but virtue, nothing mean and bafe but folly and vice. Speaking to HoraTio, Since my dear foul (fays he) was miftrefs of her choice, And could of men diftinguifh, her election Hath fealed thee for herfelf; for thou haft been As one in fuffering all, that fuffers nothing ; A man that fortune’s buffets and rewards Haft CHARACTER of HAMLET. 263 Haft ta’en with equal thanks : and bleft are thofe Whofe blood and judgment are fo well co-mingled That they are not a pipe for fortune’s finger, To found what ftops fhe pleafe. Give me that man That is not paflion’s flave, and I will wear him. - In my heart’s core. Men praife in others what they love and poffefs in themfelves ;. and HaMter was here drawing fome of the outlines of his own character. To the principles of morality and a confummate knowledge of mankind, he joined the accomplifhments of learning and the graces of life. His eloquence was fuch as great orators only have poffeffed, rich, tropical, daring, ardent, vehement. The directions he gives to the players, are models of tafte and laws for the ftage. His wit and fancy feem to have belonged only to himfelf. Even in his charafter of foldier and hero, and. which I all along confider as his weaker part, an intrepidity breaks forth at times beyond what is human; as appears in the ghoft-feenes, where his courage grows with danger ; where he is not only unterrified, but {ports with what appals the reft of mankind. Tue Hamer of SHAKESPEARE, taken all in all, feems thus to be the moft fplendid charaéter of dramatic poetry 3 poffeffing, not one or two great qualities, the ordinary compafs of the heroes in tragedy, of a LEAR, an OTHELLO, a RODRIGUE, an Horace, but comprehending almoft the whole of what is beautiful and grand. Tue miftakes which critics feem to have fallen into, can be all traced perhaps to partial and fide-views which they have taken of Hamer; but which can neither explain his whole charaéter, nor fufficiently account for the intereft which is ex- _ cited, SENSIBILITY, 264 An ESSAY on the SensiBiLiTy, for example, making a ftriking figure in this character, has been thought to be the fole bafis of it, without confidering that mere fenfibility cannot excite a tragic intereft ; cannot/attach; cannot overwhelm ; and indeed feems unable to make any other impreflion but that of pain, when viewed apart from the caufe in which it aéts, and from the other qualities with which it is conjoined. Neither can a SENSE OF VIRTUE be ad- mitted as the only ruling principle ; for even this does not fuf- ficiently account for the intereft; and both fyftems fail in ex- plaining the inefficiency of the chara@ter, which refults from the foft and amiable, and hence, in a great degree, the interefting parts of it. For in both, the gentlenefs of HAMLET, the great impedi- ment to the action, has been overlooked ; although, to fupply its place, a weaknefs and irrefolution, fometimes deduced from exceflive fenfibility, fometimes from melancholy, are recurred to in the former, but which are certainly of a tranfient dura- tion, ‘while gentlenefs was a permanent quality ; and, in the lat- ter, while the fame office is allotted to irrefolution, the irrefo- lution itfelf is deduced from the moral faculty, fufpending and abating refentment; but which furely would fuppofe, what cannot be admitted, that the pious and noble revenge of Ham- LET had fomething morally blameable in its nature. Two elegant and ingenious publications are here alluded to* ; but in both of them, the ground taken is, I humbly think, too narrow; and this feems to have been the caufe, why recourfe has been had to refinements, in order to ftretch it out. Facts certainly fupply us here with two principles at leaft, fenfibility and gentlenefs ; and there hence feems no neceflity for refolving the whole conduét of HAmteT into the formér, as is done in one of thefe publications. Neither are we to recur, fometimes to the * Tne one anonymous, in No. 99. and 100. of the Mirror; the other, the Analhyfs of Hamuer, by Mr Ricuarpson. CHARACTER of HAMLET. 266 the one principle, fometimes to the other, taken feparately, in order to explain Hamer. It is the //ruggle between the two, upon which his conduct hinges. This appears in the very open ing of the tragedy. The time is out of joint; Oh curfed fpight! That ever J was born to fet it right. Here, fenfibility and gentlenefs may be faid to fpeak in one and * the fame breath ; a proof that their operations were not fuccef- five, but co-exiftent; and reigned nearly equal in power in HaMLET’s breatt. _ Exevation feems to have been nearly as much overlooked as gentlenefg. Yet between thefe two was Hamer almoft always moving. For his fublimity of foul feems to have been the very {pring which prompted and whetted his fenfibility to the quick. SHAKESPEARE in one phrafe, ** a noble heart,’ meant to ex- prefs both; as they were in toet intimately conjoined, and acted at once, together. THERE is an impreflion which great accomplifhments and ' {plendid talents, independent of every thing elfe, efpecially in a tragic caufe, never fails to make upon mankind. Thefe fhine moft powerfully in the character before us; and probably have contributed much to the charm which has made audiences hang upon Hamiet. The world, for the firft time, faw a man of genius upon the ftage; and the intereft which the fpetators have taken, and perhaps for ever will take, receiving an ad- dition from this caufe, arifes thus upon the whole, from the many different fources which the poet, by a fuperlative effort of talents and of fkill, has combined together. Tue fault (if any) of the play feems to lie in this, that there is not the ufual intereft excited in it, for the final event: What SHAKESPEARE’s purpofe in this refpec originally was, Vou. ID. Ll cannot 266 _ An ESSAY on the cannot be affirmed. It is poffible, that, finding the character of HAMLET to grow upon him, he varied in the progrefs from what he had intended in the outfetting of the play, and giving to HAMLET, on this account, a fuller fcope, (but without de- parting from the character) he eventually threw more intereft into the perfon than into the plot. Whatever may have been the caufe, we fee the effect,—Hamtert, in his fole perfon, predominating over, and almoft eclipfing the whole action of the drama. It is he that draws the admiration; it is he that engroffes the concern ; all eyes are turned more and more to him; HaMtet is wifhed for in every {cene ; king and queen, inceft and murder, as objects of tragic attention, vanifh almoft away ; the moment HAaAMLET’s own fate arrives, the play is ended. The intereft which the hearts of men take in the prin- cipal character of this tragedy, ftands thus in competition with the laws of the drama; and it becomes a problem, which of the two, the means or the end, fhould preponderate. On account of the intereft being transferred from the ation to the agent, the moral, taking the fame courfe, is to be drawn rather from the particular conduct of Hamter than from the general bufinefs of the play. But what that particular moral is, may be difficult to afcertain. We may fay, perhaps, that from the conduét of HAMLer, it appears, how unfit for the work of revenge are the qualities of a foldier and hero, when conjoined with thofe of a fcholar and philofopher ; yet we can- not prefume to affirm, that it was SHAKESPEARE’s object merely to exemplify this, or even to conceive, that he limited himfelf to any fingle object or moral. Thofe things which feem to have been uppermoft in his mind, and which he has made to fhine with moft light, are the charms in the perfonal character of Hamuet. Enamoured with thefe himfelf, it feems to have been his chief purpofe to raife the fame paffion in his audiences. That he has intimated this, by his interpreter Horatio, only » in CHARACTER of HAMLET. 267 in one or two lines at the clofe of the play, is to be afcribed to. his judgment. The purpofe which the dramatic poet has in view, is to be found out by the beft of judges, the feelings of the fpectators. From a fuperior fkill upon this point, RACINE has merited the praifes which have been given him, while, from a failure in it, the great CornnzILLE has been defervedly blamed. END OF THE SECOND VOLUME. PRINTED BY NEILL & CO. Pie ’ ° ' fg c f . ‘ ti e ‘ 2 . : a : . wenn . - u ia . i +. “> < j *) : hy - b] . ‘ / re w ‘ L , 4 f ’ od . ; " ; ~ . : / . x BUC R ey Rees AC gsc ok Al Phyf Cl. page 10. line 14. for properly read improperly. 131. dine 5. and 4. from the bottom, and alfo in the laft line, far EY and EZ read Ey, Ex. 134. dine 5. for 8/AD?+-BD?-+-CD*) read 4(AD*+BD?-+CD’). | m— m—n read & Ue — 204. line 5. from the bottom, for (100)? read (10)*. 159. zn the note, line.1. for —— Lit. Ch page 9. line 4. for vindicates read indicates. [Omitted in the Lift of Donations, page 80.] t By Mr Robert Kerr, furgeon, Edinburgh. Elements of Chemiftry, by M. Lavosfer, tranflated from the French. 8vo. 1790s DIRECTIONS for tus BINDER oF Vot. IL. The Binder is defired to obferve, that the Vou. confifts of Three Sets of Pages, to be arranged in the following order, immediately after the Taste of Contents, wz. Parr I. containing the History of the Socrery: Parr JI. containing, I. Papers of the Paystcau Crass ; II. Parers of the Lirerary Cuass: And that the Plates are to be placed as follows, wz. the Plate entitled Quaffia Simaruba Mas, facing page 82. Phy/: Cl. and Quaffia Simaruba Feminea, immediately after it ; the Plate entitled Craig-Phadrick, facing page 32. Lit. C/. and Dunzardel immediately following ; and the other five according to the references marked on them. a Pays analene Ame Goede oD Ue dt RAAF Sera: Sane) ee Oita < 1 A ; Crees ‘ Me - he ' » - : seepage st MAN Yipegeay WAM anh on s45q AD ye Lowe Nes ON Soik ah va ao Oiys Lan evotted o8k weet) plane ww gt j ek Lape aked iad tke Fe oP peat fs ss (Pde See eee beat 43 yeh +E ried . “4 ¢ r| ' pai 5 note nes nee ; r ‘ ‘ a we wa ke yank 5 ron bs ws ME pane te! 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