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