Analytic geometry, for technical schools and colleges (1897)
Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 123
t^x 2/1 ry X + y- X- + y- If the point (.t„ ?/,) describes a circle x,\-\-y:--2aj\-2hy, + c = 0,the inverse point (.r, ?/) traces a curve whose equation isr\-c- 4- r^v 2 arx 2 hr>i (x- + iff x^ + y- X- + y-which reduces to + c = 0, o , o sar- ^■ + v ;« c 2 hr y + the erpiation of a, circle.… … When c = 0, R = cc; that is, the transformed circle becomesa straight line, c = 0 is the condition which causes the centerof the inversion circle, which has been taken at the origin of co-ordinates, to lie in the circumference of the given circle (a, 6, c).The inverse of a geometric figure may be…
Geometry, Analytic
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