The elements of Euclid for the use of schools and colleges; comprising the first six books and portions of the eleventh and twelfth books; (1903)
Euclid, Todhunter, I. (Isaac), 1820-1884, ed. edt, Simson, Robert, 1687-1768, ed. edt · London; New York, Macmillan · leaf 45
greater than the angle ECF. [Axiom 8.Therefore the angle ACD is greater than the angle BAE. In the same manner, if BC be bisected, and the side AC be produced to G, it may be shewn that the angle BCG, that is, the angle ACD, is greater than the angle ABC. [I. 15. Wherefore, if one side, etc.… … Construction. Produce BC to D. Proof. Because ACD is the exterior angle of the triangleABC, it is greater than the interior opposite angle ABC. [I. 16.To each of these add the angle ACB. Therefore the angles ACD, ACB are greater than the anglesABO, ACB. But the angles ACD, ACB together = two right…
Euclid's Elements · Geometry · Mathematics, Greek
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