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The elements of Euclid for the use of schools and colleges : comprising the first two books and portions of the eleventh and twelfth books; with notes and exercises (1880)

Todhunter, I. (Isaac), 1820-1884 · Toronto : Copp, Clark · leaf 47

An illustration from The elements of Euclid for the use of schools and colleges : comprising the first two books and portions of the eleventh and twelfth books; with notes and exercises, 1880, leaf 47
ore AD is parallel to BC. Wherefore, equal triangles &c, q.e.d. PROPOSITION 40. THEOREM. Equal triangles, on equal bases, in the siime straight line,and on the same side of it, arebetween the same parallels. Let the equal triangles ABC, DEF be on equal basesBC, EF, in the same straight ^ine BE.… … BOOK I. 40, 41. 43 ITien the triangle ABC is equal to the triangle GEF,because they are on equal bases BC, EF, and betweenthe same parallels. [I. 38. But the triangle ABC is equal to the triangle DEF. [Hyp.Therefore also the triangle DEF is equal to the triangleGEF, [Axiom 1. the greater to the…

Geometry · Euclid's Elements · Mathematics, Greek

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