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 268
VIII. THEOR, SIMILAR pyramids having triangular bases areone to another in the triplicate ratio of that of theirhonmologous sides. Let the pyramids having the triangles ABC, DEF for theirbases, and the points G, H for their vertices, be similar, and si-milarly situated; the pyramid ABCG has to the… … B C E F those opposite to them ; and, in like manner, complete the solidparallelepiped EHPO contained by the three parallelogramsDEFPj IIEFR, DEHX, and those opposite tq them; and, be? OF EUCLID. 2.67 cause the pyramid ABCG is similar to the pyramid DEFH, the B. Xll.angle ABC is equal ^ to the…
Euclid's Elements · Mathematics, Greek · Geometry
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