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 259
rough either centre ofsimilitude of two circles, the anharmonic ratio of any four ofthe points where the secants cut one of the circles is the sameas that of the four corresponding or non-corresponding pointson the other circle. Let four secants be drawn through 0 the external centre ofsimilitude,… … Therefore {P. ABCD] = {P.ABCD\ But since four secants are drawn through 0 meeting the circleABC, therefore (255) {P.ABCD} = {P.EFGH}; Therefore the anharmonic ratio of A\ B\ C, D is the same asthat of the four corresponding points A, B, C, D, and also of thefour non-corresponding points E, F, G, H.…
Geometry
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