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 227
o internal centres of similitude of the othertwo pairs lie in the same straight line, and the external cen-tres of similitude of the three pairs lie on a straight line. Let A, B, C be the centres of the three given circles, K and 0the internal and external centres of similitude of (B) and ((7), K… … Since the centres of similitude of any two circles divide the linejoining their centres internally and externally in the ratio of theradii, the two centres of similitude are harmonic conjugates to thecentres of the circles. Again, AK : ICC :: radius of (A) : radius of ((7). Also, (AK : KB\ tu…
Geometry
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