## Circumcircle

A Triangle's circumscribed circle. Its center is called the Circumcenter, and its Radius the Circumradius. The circumcircle can be specified using Trilinear Coordinates as

 (1)

The Steiner Point and Tarry Point lie on the circumcircle.

A Geometric Construction for the circumcircle is given by Pedoe (1995, pp. xii-xiii). The equation for the circumcircle of the Triangle with Vertices for , 2, 3 is

 (2)

Expanding the Determinant,
 (3)

where
 (4) (5) (6) (7)

Completing the Square gives
 (8)

which is a Circle of the form
 (9)

with Circumcenter
 (10) (11)

 (12)