Inverse curve

From Wikipedia, the free encyclopedia

Inverse curve of a given curve with respect to circle a with center O is a set of points P, for which is true the following equation: OP•PQ=a2, where Q belongs to the original curve.

For a parametrically defined curve, its inverse curve with respect to a circle with center in (0;0) and radius a is defined as

X[x,y]=\frac{a^2x}{x^2 + y^2}

Y[x,y]=\frac{a^2y}{x^2 + y^2}

[edit] External links

v • d • e
Differential transforms of plane curves