An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 197
nd a variable line z passing through a fixed point 0,into parts whose sines are in a constant ratio. If we wish to obtain a definition for such a curve as a locus wemust proceed otherwise. Let TQ be any tangent to the given circle, and let A be itscentre. Let XN be the polar of A, and P the pole of… … That is OP:PN= OA : A Q. Thus the reciprocal curve to the given circle is the locus of apoint which moves so that its distance from a fixed point varies asits distance from a fixed straight line. 295. If however the circle of reciprocation be concentric withthe given circle, let QT be a tangent to…
Geometry
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