Trilinear Command

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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(\mathrm{\mathsf{ \hat{A} }}) cos(\mathrm{\mathsf{ \hat{B} }}) cos(\mathrm{\mathsf{ \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 \mathrm{\mathsf{ \frac{1}{a} }} \mathrm{\mathsf{ \frac{1}{b} }} \mathrm{\mathsf{ \frac{1}{c} }}
Orthocenter cos(\mathrm{\mathsf{ \hat{B} }}) cos(\mathrm{\mathsf{ \hat{C} }}) cos(\mathrm{\mathsf{ \hat{A} }}) cos(\mathrm{\mathsf{ \hat{C} }}) cos(\mathrm{\mathsf{ \hat{A} }})cos(\mathrm{\mathsf{ \hat{B} }})
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