

Fermat's spiral is the Archimedean spiral with m=2. Both the lefthand and righthand spirals are shown below.



The Hyperbolic spiral is the Archimedean spiral with m=(1).



The Lituus is the Archimedean spiral with m=(2). Both the lefthand and righthand spirals are shown below.



The Logarithmic spiral is the locus of the equations shown below.



The Sinusoidal spiral is the locus of the equations shown below.



The Tractrix is the evolute of the catnary.



A Curtate cycloid is a cycloid where the locus is drawn from a point closer to the center of the circle than the circle's circumference.



A Prolate cycloid is a cycloid where the locus is drawn from a point farther from the center of the circle than the circle's circumference.



