Trilinear Command

Trilinear( <Point>, <Point>, <Point>, <Number>, <Number>, <Number> ): creates a point whose trilinear coordinates are the given numbers with respect to triangle with given points.

Some examples

Point	<Number>	<Number>	<Number>
A	1	0	0
B	0	1	0
C	0	0	1
Circumcenter	cos( $\hat{A}$ )	cos( $\hat{B}$ )	cos( $\hat{C}$ )
Center of Incircle	1	1	1
Center of excircle tangent to [BC]	-1	1	1
Center of excircle tangent to [AC]	1	-1	1
Center of excircle tangent to [AB]	1	1	-1
Centroid	$\frac{1}{a}$	$\frac{1}{b}$	$\frac{1}{c}$
Orthocenter	cos( $\hat{B}$ ) cos( $\hat{C}$ )	cos( $\hat{A}$ ) cos( $\hat{C}$ )	cos( $\hat{A}$ )cos( $\hat{B}$ )