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 215
the per-pendicular from the centre of the given circle on the givenline. Let 0 be the centre of the given circle, and CB the given line. Draw OBO perpendicular to CB, and from C draw the tangentCA to the given circle. Describe the circle AFF with any pointC on CB as centre and radius CA. This… … axis, but the radical axis of two circles is perpendicular to thestraight line joining their centres; therefore the perpendicular OBis the radical axis of the system. Q. E. D. N.B. It is easy to see if a system of circles be described withtheir centres in OB, and cutting orthogonally the system of…
Geometry
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