Analytic geometry, for technical schools and colleges (1897)
Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 124
= 0, and by addition OP • OP = cr - Jr. If the point P describes the circumference of a circle passingthrough 0, P must move in a straight line. Therefore theinversor transforms the circular motion of P about 0, mid-way between 0 and P, as center, into the rectilinear motionof P. rUorKllTlKS OF THE… … The circles obtained by inverting the given circles areCalling their included angle $, cos ^ 2ffa>- 2 ^j?/r^ _ ?;; _ r^cc cc c c which reduces to cos 9 = 2 «a + 2 6/y - c - c 2 Va^ + ?/ _ c V« + 62 - c Hence the angle between two circles is not altered by inversion.For this reason inversion is…
Geometry, Analytic
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