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 400
thecircle B = tangent from it to the circle C. Hence the tangent from 0 to the circle A = the tangent from it tothe circle C, i.e. 0 is also a point on the radical axis of the circles Aand C. This point 0 is called the radical centre of tlie three circles. Ivi EUCLIDS ELEMENTS. 76. The difference… … Let PTj, PTg be the tangents from a point P to two circles; 0^ andO2 their centres and OM their radical axis ; draw PM and PN per-pendicular to the radical axis and the line of centres. Let 0 be themiddle point of O^Oa. Then POi^ - POs^ = O^N^ - O.^N^. Also, since the tangents from O to the circles…
Euclid's Elements · Geometry · Mathematics, Greek
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