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 467
s given, a magnitude equal to it cana 1. def. ^^ found ^; let this be C ; and because the ratio of A to Bb 2. def. * given, a ratio which is the same to it can be found ^,adds, let it be found, and let it be the ratio of C to A.Now, from the second definition nothing more follows, thanthat some… … EUCLIDS DATA. 4^ same with the ratio of A to B, can be found, he necessarily sup-poses tliat to the three magnitudes E, Z, C, a fourth propor-tional A may be found ; but this cannot always be done bythe Elements of Euclid; from which it is plain Euclid musthave understood the proposition under the…
Euclid's Elements · Mathematics, Greek · Geometry
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