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 (1834)
Euclid, Euclid, Simson, Robert, 1687-1768 · Philadelphia : Desilver & Thomas · leaf 218
parallelopipeds BGML, EHPO contained by these planesand those opposite to them: and because the pyramid ABCG isequal to the pyramid DEFH, and that the solid BGML is sectupleof the pyramid ABCG, and the solid EHPO sectuple of thepyramid DEFH; therefore the solid BGML is equal (L Ax. 5.)to the solid… … -V ]• B D EHPO to the altitude of the solid BGML: but as the base BMto the base EP, so is (15. 5.) the triangle ABC to the triangleDEF; therefore as the triangle ABC to the triangle DEF, so isthe altitude of the solid EHPO to the altitude of the solid BGML:but the altitude of the solid EHPO is the…
Mathematics, Greek · Geometry · Trigonometry
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