TRISECTRI X, a curve which is a variety of the **limacon** of Pascal, and named from its property of trisecting an angle.

The form of the **limacon** depends on the ratio of the two constants; if a be greater than b, the curve lies entirely outside the circle; if a equals b, it is known as a cardioid; if a is less than b, the curve has a node within the circle; the particular case when b= 2a is known as the trisectrix.

For a circle, when the rays emanate from any point, the secondary caustic is a **limacon**, and hence the primary caustic is the evolute of this curve.