Trilinear Command
From GeoGebra Manual
Revision as of 13:13, 17 February 2013 by Noel Lambert (talk | contribs)
- 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 à [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}) |
