ARCHITECTTJTIE. 



~<nd although his most general method of 

 demonstrating tin- relations <>f curvrd h- 

 n MraiwhJ, pa?lJttc&UMfi*ftiM 

 relations, lie- dues not increase the num- 

 ber, and diminish tlie magnitude, of the; 

 r ides of the polygon ud infinitnm but 

 from this plain fundamental principle, al- 

 lowed in Euclid's Klrnu-nts, (r/'z. that 

 any quantity may he so often multiplied, 

 or added to itself, us that the result shall 

 i any proposed finite quantity of 

 the same kind,'* he proves, that to deny 

 his figures to have the proposed relations 

 would involve an absurdity. And when 

 he demonstrated many geometrical pro- 

 perties, partieularly in the parabola, by 

 means of certain progressions of numbers, 

 \vhose terms are similar to the inscribed 

 figures ; this was still dono without con- 

 sidering such series as continued ml infi- 

 nitnm, and then collecting or summing up 

 lhe,t< mis of such infinite series. 



Th CM: hai edit ions of 



the existing writii 



the most comple- 

 tion, in f.. 







edition was prepared r 

 by the learned Joseph I 

 and in that si 

 sity of Oxford. The I. 

 a new one. Torelli also \vro' 

 a commentary on some of tin : 



notes on the whole. An account of the 

 life and writings of Torelli i-.pr< ;, 

 Clemens Sibiliati. And at tin- 

 large appendix is added, in two parts ; 

 the first being a Commentary on Archi- 

 's paper upon Bodies that float on 

 Fluids, by the Kev. Adam Robertson, of 

 Christ Church College ; and tin 

 is a large collection of various readings 

 in the manuscript works of Arch:; 1 

 found in the library of the late King of 

 France, and of another at Florence, as 

 collated with tin- l.as',1 edition above 

 mentioned. 



ARCHITECTURE. 



'.:(/ a nd prac- 

 tice of Civil Jlrclutecture. 



All the variety of edifices appropriated 

 to the purposes of civil life is denominat- 

 ed Civil Architecture. 



It is a very difficult matter for us at this 

 day to trace the earliest stage of this art, 

 so indispensible to onr comfort and pro- 

 tection in a natural or civilized state, un- 

 til we find its permanence of construc- 

 tion fixed on the basis of science and pro- 

 portion. 



The subterraneous cavern was without 

 doubt the first habitation of man. Who 

 cannot but contemplate with astonish- 

 ment the variety of massy shapes, sup- 

 porting arched roofs, decorated with in- 

 numerable surfaces of i-rystalli/ed forms, 

 excelling in splendour of design and ar- 

 rangement the most magnificent produc- 

 tions of human art. 



All our impressions of wisdom, strength 

 and beauty, are derived from the exami- 

 nation of the works of the <i<xl of nature: 

 All our energv in ail is employed to de- 

 duce from these \rorks the proximity of 

 uian to his Creator, and all our perfection 

 a bumble acknowledgment of our im- 

 perfection. 



In sculpture and painting, the closest 

 imitation of a model in nature at once 

 Constitutes thf excellence of the artist. 



In architecture, invention is employed 

 in the search of form and proportion, that 

 is not so immediately obvious, owing to 

 the whimsicality in matters ot 

 which is perhaps very justly regulated by 

 antique proportion. 



History furnishes us with ver. 

 and unsatisfactory accounts of the rise or 

 progress ofthis srirnrc ; although a vari- 

 ety of speculation has been indu! 

 locate and fix its origin and zrn i ; 

 stniction in India and F.gypt, \\ 

 this late day left todoubt, whet! 

 eas'rrn quarter of the world has any de- 

 cided claim to originality over 



Egypt 



The splendid excavations that 

 tute. thetemplis < '.ifires of tin 



Hindoos, particularly the a\< at F.U - 

 ph:'iita, which is sculptured out of the 

 solid rock, exhi' know 



art ui:h this barbarous pr< 

 pie. The < 



contains four ro\\ s of nri^y pillars, re- 

 semblingartuted ballustrade, resting on a 

 longr: plinth; the whole pillar 



is surmounted b\ a broad project] 



pital, in form of a flat \:;sc, rir!,' 

 highh ' 



in alto refiero protrude from the 



f the cavern, son 

 sonic with six anus, bearing s 



