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If the cusp of the cardioid is taken as the inversion center, the cardioid inverts to a parabola.

A convex set K is centro-symmetric, sometimes also called centrally symmetric, if it has a center p that bisects every chord of K through p.

The strophoid of a circle with pole at the center and fixed point on the circumference is a Freeth's nephroid.

If the cusp of the cissoid of Diocles is taken as the inversion center, then the cissoid inverts to a parabola.

The inverse curve of Fermat's spiral with the origin taken as the inversion center is the lituus.

Taking the pole as the inversion center, the hyperbolic spiral inverts to Archimedes' spiral r=atheta.

The Kiepert center X_(115) (center of the Kiepert hyperbola) lies on the nine-point circle. The Kiepert antipode is the antipode of this point on nine-point circle. It has ...

The inverse curve of the Maclaurin trisectrix with inversion center at the negative x-intercept is a Tschirnhausen cubic.

A Reinhardt domain with center c is a domain D in C^n such that whenever D contains z_0, the domain D also contains the closed polydisk.

The Jerabek center is the center of the Jerabek hyperbola. It is Kimberling center X_(125), which has equivalent triangle center functions alpha_(125) = cosAsin^2(B-C) (1) ...