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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 49

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 49
Therefore the triangle ABC is double of the triangle ^^C. But the parallelogram FECG is also double of the triangleAEC, because they are on the same base EC, and betweenthe same parallels EC, AG. [I. 41. Therefore the parallelogram FECG is equal to the triangleABC; [Axiom 6. and it has one of its… … BOOK I. 43, 44. 45 PKOPOSITION 43. THEOREM. The complements of the parallelograms which are aboutthe diameter of any parallelogram^ are equal to oneanother. Let ABCD be a parallelogram, of which the diameteris^C; and EH, GF parallelograms about AC, that is,throuiili -which AC passes ; and BK, KD…

Geometry · Euclid's Elements · Mathematics, Greek

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