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 144
of the lO. If a variable circle touch two fixed circles the sum, or the differ-ence, of the distances of its centre from those of the fixed circles isequal to the sum, or the difference, of their radii. 132 EUCLIDS ELEMENTS. Proposition 14. Theorem. Equal chords in a circle are equally distant from… … Construction. Find E, the centre of the circle ABDC; [III. 1.from E draw EF, EG perpendiculars to AB, CD, [I. 12. and join EA, EC. Proof. Because EF, passing through the centre, cuts AB,which does not pass through the centre, at right angles, it alsobisects it; [III. 3. .-. AF = FB, and AB is…
Euclid's Elements · Geometry · Mathematics, Greek
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