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(\(\hat{B}\)) |