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 157
-. the Z.BFD is double the Z.BAD. [III. 20. Similarly the Z.BFD is double the z-BED. .-. the ^BAD = the ^BED. [Axiom 1. Case IL Let the segment BAED be not greater than asemicircle. Construction. Draw AF to the centre, and produce it tomeet the circumference at C, and join CE. Proof. Since CFD and… … But the segment BAEC is greater than a semicircle, andtherefore the z.BAC = the Z.BEC, by Case I..-. the whole z.BAD = the whole Z.BED. [Axiom 2, Wherefore, the angles in the same segment^ etc. [q.e.d. Converse of Proposition 21. The vertices of equal angles, standing on the same base and on the…
Euclid's Elements · Geometry · Mathematics, Greek
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