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 265
he triangles ABC and abc. Similarly, M and N arepoints on the radical axis of the same two circles, q. e. d. 268. A common tangent to any two circles is dividedharmonically by any other circle having the same radical axiswith the two given circles. Let DE the common tangent to the two circles (A)… … HG.HF-^HD2, therefore (163) F, D, G, E form an harmonicrange. Q. E. d. 269. The difference of the squares on the tangents fromany point to two circles is equal to double the rectangle underthe perpendicular let fall from the point on their radical axis,and the line joining their centres.
Geometry
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