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 141
ced, cannot pass otherwise than throughthe point A,that is, it must pass through A. Wherefore, if two circles, etc, [q.k.d. BOOK III. 12. 129 Proposition 12. Theorem. If two circles touch one another externally^ the straight line whichjoins their centres shall pass through the point of contact. Let… … P Proof. For, if not, let it pass otherwise, if possible, asFCDC, and join FA, AC. Then, because F is the centre of the circle ABC, FA = FC ; [I. Definition 15. and because G is the centre of the circle ADE, GA = GD ;.-. FA, AG are equal to FC, DG; [Axiom 2, .*. the whole FG is greater than FA,…
Euclid's Elements · Geometry · Mathematics, Greek
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