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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 399

An illustration from 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, leaf 399
ht line it may also beconstructed as follows : Draw any circle meeting one of the circles in E,F and the other in G, H ; let EF and GH meet in P, then by III. 36rect. PE, PF = rect. PG, PH. .*. tangents from P to the two circlesare equal and P is on the radical axis. The straight line through… … Let the three circles be called A, B, and C, and let the radical axisof A and B and that of B and C meet in a point 0. By the definition of the radical axis the tangent from 0 to the circleA==the tangent from 0 to the circle B, and the tangent from 0 to thecircle B = tangent from it to the circle…

Euclid's Elements · Geometry · Mathematics, Greek

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