Difference between revisions of "Trilinear Command"
From GeoGebra Manual
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;Trilinear[ <Point>, <Point>, <Point>, <Number>, <Number>, <Number> ] | ;Trilinear[ <Point>, <Point>, <Point>, <Number>, <Number>, <Number> ] |
Revision as of 10:16, 28 July 2015
- Trilinear[ <Point>, <Point>, <Point>, <Number>, <Number>, <Number> ]
- creates point whose trilinear coordinates with respect to triangle with given points are the given numbers.
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}) |