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 132
s a right z..But the z-FEA was shewn to be a right l ; .-.the ^FEA = the Z.FEB,the less to the greater; which is impossible..-. AC, BD do not bisect each other.Wherefore, if in a circle, etc. [Hypothesis. [III. 3.[Hypothesis. [III. 3. [Axiom 11. [q.e.d. [For Exercises see next page.] 120 EUCLIDS… … B Construction. If it be possible, let E be their centre; joinEC, and draw any straight line EFG-, meeting the circum-ferences at F and C Proof. Because E is the centre of the circle ABC, .. EC = EF. \1. Definition!^. Again, because E is the centre of the circle CDG, . *. EC = EC [I. Definition 15.…
Euclid's Elements · Geometry · Mathematics, Greek
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