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The tangential mid-arc circle is the circumcircle of the tangential mid-arc triangle. Its center and radius appear to be very complicated functions. Its center is not in ...
If the cusp of the cardioid is taken as the inversion center, the cardioid inverts to a parabola.
A square matrix is called centrosymmetric if it is symmetric with respect to the center (Muir 1960, p. 19).
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 inverse curve of the Maclaurin trisectrix with inversion center at the negative x-intercept is a Tschirnhausen cubic.
A braid in which strands are intertwined in the center and are free in "handles" on either side of the diagram.
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