The elements of Euclid for the use of schools and colleges : books I., II., III. (1876)
Todhunter, I. (Isaac), 1820-1884 · Toronto : Copp, Clark · leaf 87
PROPOSITION 10. THEOREM. One circumference of a circle cannot cut another atmore than two points. If it be possible, let the circumference ABC cut thecircumference DEF at morethan two points, namely, at thepoints B, G, F. Take A the centre of thecircle ABC, [m. 1- and join KB, KG, KF. Then, because… … BOOK HI. 10, 11. 83 therefore KB, KG, A^Farc all equal to each otlier. [I. Def.15.And because within the circle DEF, the pi)int K is taken,from which to the circumference DEF fall nioie tliaii twoequal straight lines K11, KG, KF, therefore K is thecentre of the circle DEF. [III. 9. But ^is also the…
Geometry · Euclid's Elements · Mathematics, Greek
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