High Quality Content by WIKIPEDIA articles! In geometry, an inverse
curve of a given curve C is the result of applying an inverse
operation to C. Specifically, the inverse with respect to a fixed
circle with center O and radius k the inverse of a point Q is the
point P for which P lies on the ray OQ and OP.PQ = k2. The Inverse
of the curve C is then the locus of P as Q runs over C. The point O
in this construction is called the center of inversion, the circle
the circle of inversion, and k the radius of inversion. An
inversion applied twice is the identity transformation, so the
inverse of an inverse curve with respect to the same circle is the
original curve. Points on the circle of inversion are fixed by the
inversion, so the it's inverse is itself.
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