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 237
triangularbases, of the same altitude, are to one another as their bases. Let the prisms, the bases of which are the triangles AEMjCFG, and NBO, PDQ the triangles opposite to them, have thesame altitude; and complete the parallelograms AE, CF, andthe solid parallelepipeds AB, CD, in the first of… … 236 THE ELEMENTS Book XI. fore the prisms, whicli are their halves^, are to one another as^-■v—^ the base AE to the base CF; that is, as the triangle AEM to thed 28.11. triangle CFG. ^ PROP. XXXIII. THEOR. SIMILAR solid parallelepipeds are one to anotherin the triplicate ratio of their homologous…
Euclid's Elements · Mathematics, Greek · Geometry
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