Trilinear Command

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Trilinear[ <Point A>, <Point B>, <Point C>, <Number u>, <Number v>, <Number w> ]
creates point whose trilinear coordinates with respect to triangle ABC are (u, v, w).


Some examples :

Point u v w
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})
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