Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students (1881)
McDowell, James L · Cambridge, Deighton, Bell, and Co. · leaf 197
). Therefore FO ,OL = FO. OM, and therefore OL = OM, whichis impossible; therefore FO produced must pass through G, thatis, the three chords of intersection meet in the same point 0 with-in all the circles. Next, let the circles not all intersect one another. Let BOy the radical axis of (A) and… … Fig. 2. equal, and because 0 is a point in the radical axis of (A) and (C)OF and OH are equal; therefore the tangents OG and OH to thetwo circles (B) and (C) are equal. Therefore 0 is a point in theradical axis of (B) and (<7). Therefore the three radical axes of asystem of three circles pass…
Geometry
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