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 139
In the same manner it may be shewn that any other pointthan D is not the centre;therefore D is the centre of the circle ABC. Wherefore, if a point he taken, etc, [q.e.d. Note. For other demonstrations of Propositions 9 and 10 see Notes,Pages 325 and 326. BOOK III. 10. 127 Proposition 10. Theorem.… … Construction. Take K, the centre of the circle ABC, [III. 1.and join KB, KG, KF. Proof. Because K is the centre of the circle ABC,.-. KB, KG, KF are all equal. [I. Definition 15. And because within the circle DEF, the point K is taken,from which, to the circumference DEF, are drawn more thantwo…
Euclid's Elements · Geometry · Mathematics, Greek
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