Limaçon Trisectrix Outer Loop
In geometry, a limaçon or limacon , also known as a limaçon of Pascal or Pascal's Snail, is defined as a roulette (curve), roulette curve formed by the path of a Point (geometry), point fixed to a circle when that circle Rolling, rolls around the outside of a circle of equal radius. It can also be defined as the roulette formed when a circle rolls around a circle with half its radius so that the smaller circle is inside the larger circle. Thus, they belong to the family of curves called centered trochoids; more specifically, they are epitrochoids. The cardioid is the special case in which the point generating the roulette lies on the rolling circle; the resulting curve has a cusp (singularity), cusp. Depending on the position of the point generating the curve, it may have inner and outer loops (giving the family its name), it may be heart (symbol), heart-shaped, or it may be oval. A limaçon is a circular algebraic curve, bicircular rational plane algebraic curve of Degree of ...
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