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 140
ugh three points, which are not in the same straight line, onlyone circle can be drawn. 128 EUCLIDS ELEMENTS. Proposition 11. Theorem. If two circles touch one another internally^ the straight line whichjoins their centres, being produced, shall pass through the point ofcontact. Let the two circles… … Proof. For, if not, let it pass otherwise, if possible, asFGDH, and join AF, AG. Then, because AG-, GF are together greater than AF, [I. 20. and AF =- HF ; [L Definition 15. .•. AG, GF are together greater than HF.Take away the common part GF;.. the remainder AG is greater than the remainder HG.…
Euclid's Elements · Geometry · Mathematics, Greek
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