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The Elements of Euclid : viz. the first six books, together with the eleventh and twelfth : the errors, by which Theon, or others, have long ago vitiated these books, are corrected, and some of Euclid's demonstrations are restored : also, the book of Euclid's Data, in like manner corrected (1806)

Euclid, Simson, Robert, 1687-1768, Euclid. Elements. Book 11-12. English. 1806, Euclid. Data. English. 1806, Simson, Robert, 1687-1768. Notes, critical and geometrical. 1806, Simson, Robert, 1687-1768. Elements of plane and spherical trigonometry. 1806 · Philadelphia : Published by Mathew Cary, and sold by J. Conrad & Co., S.F. Bradford, Birch & Small, and Samuel Etheridge, printed by T. & G. Palmer ... · leaf 425

An illustration from The Elements of Euclid : viz. the first six books, together with the eleventh and twelfth : the errors, by which Theon, or others, have long ago vitiated these books, are corrected, and some of Euclid's demonstrations are restored : also, the book of Euclid's Data, in like manner corrected, 1806, leaf 425
en in species. A parallelogram similar to FD may be found thus: take astraight line H given in magnitude ; and because the ratio of thefigure AEB to FD is given, make the ratio of H to K the samewith it: also, because the ratio of the straight line CD to ABis given, find by the 54th dat. the ratio… … 4a4r EUCLID^S b 9. dat. given, the ratio of H to L is given ^ ; because, therefore, ns-AEB to FD, so is H to K ; and as FD to AG, so is K lo L ;ex xquali, a« AEB to AG, so is H to L; therefore the ratio ofAEB to AG, is given ; and the figure AEB is given in spe-cies, and to its side AB the…

Euclid's Elements · Mathematics, Greek · Geometry

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