Difference between revisions of "Trilinear Command"
From GeoGebra Manual
m (Text replace - ";(.*)\[(.*)\]" to ";$1($2)") |
|||
Line 1: | Line 1: | ||
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|geometry}} | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|geometry}} | ||
− | ;Trilinear | + | ;Trilinear( <Point>, <Point>, <Point>, <Number>, <Number>, <Number> ) |
:creates a point whose [[w:Trilinear coordinates|trilinear coordinates]] are the given numbers with respect to triangle with given points. | :creates a point whose [[w:Trilinear coordinates|trilinear coordinates]] are the given numbers with respect to triangle with given points. | ||
Latest revision as of 17:16, 7 October 2017
- 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}) |