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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 60

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 60
and through Gdraw i/Aparallel to A B or DE. [1.31. Then, because CF is parallelto AD, and BD falls on them,the exterior angle CGB is equalto the interior and opposite an-gle ^Z>5; [1.29.but the angle ADB is equal to the angle ABD, [I. 5.because BA is equal to AD, being sides of a square… … E 66 EUCLIDS ELEMENTS. It is likewise rectan^ar. For since CG is parallel toBK, and GB meets them, the angles KBG, GGB are toge-ther equal to two right angles. [I. 29.But KBG is a right angle. [I. Definition 30Therefore GGB is a right angle. [Axiom 3.And therefore also the angles GGK, GKB opposite…

Geometry · Euclid's Elements · Mathematics, Greek

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