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 156
the ^BEG is double of the /.BAG. Wherefore, the angle at the centre^ etc. [q,e.d. [For an important note on III. 20, see Page 326o] 144 EUCLIDS ELEMENTS. Proposition 2L Theorem. The angles in the same segment of a circle are equal to oneanother. Let ABCD be a circle, and BAD, BED angles in the… … Proof. Because the angles BFD and BAD are angles atthe centre and circumference standing on the same arc BD. .-. 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.…
Euclid's Elements · Geometry · Mathematics, Greek
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