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
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. … Let A and B be the centres of the two circles, LO theirradical axis, and PC, FD tangents from any point F to the twocircles. 270.] AND IN MODERN GEOMETRY. 237 Bisect AB in M (which will evidently lie between the centreof the greater circle and the radical axis), and draw PN perpen-dicular to AB.…
Geometry
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