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 278
ion, and it may be demonstrated the very sameway as in that proposition, that the pyramid of which the baseis the polyi^on EOFPGRHS, and vertex N, is greater than thesoHd X. Describe also in the circle ABCD the polygonATBYCvDQ simi ar to the polygon EOFPGRHS, upon whicherect a pyramid having the… … polygon EOFPGRHS, of which the vertex is N; and join KQ,MS: because then the cone ABCDL is similar to the cone a 24. def. EFGHN, AC is » to EG, as the axis KL to the axis MN; and11. as AC to EG, so b is AK to EM ; therefore as AK to EM, b 15. 5. so is KL to MN; and, alternately, AK to KL, as EM…
Euclid's Elements · Mathematics, Greek · Geometry
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