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Let K_1 be a torus knot. Then the satellite knot with companion knot K_2 is a cable knot on K_2.

For the cardioid given parametrically as x = a(1+cost)cost (1) y = a(1+cost)sint, (2) the involute is given by x_i = 2a+3acostheta(1-costheta) (3) y_i = ...

The antisymmetric parts of the Christoffel symbol of the second kind Gamma^lambda_(munu).

Chain equivalences give an equivalence relation on the space of chain homomorphisms. Two chain complexes are chain equivalent if there are chain maps phi:C_*->D_* and ...

The inverse curve of the circle with parametric equations x = acost (1) y = asint (2) with respect to an inversion circle with center (x,y) and radius R is given by x_i = ...

The orthotomic of the unit circle represented by x = cost (1) y = sint (2) with a source at (x,y) is x_o = xcos(2t)-ysin(2t)+2sint (3) y_o = -xsin(2t)-ycos(2t)+2cost. (4)

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

A set of class representatives is a subset of X which contains exactly one element from each equivalence class.

Let A be a unital C^*-algebra, then an element u in A is called co-isometry if uu^*=1.

A coaxal system is a system of coaxal circles. A spectacular example is the set of circles (circumcircle, nine-point circle, orthocentroidal circle, orthoptic circle of the ...