Difference between revisions of "Trilinear Command"
From GeoGebra Manual
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<noinclude>{{Manual Page|version=4.2}}</noinclude> | <noinclude>{{Manual Page|version=4.2}}</noinclude> | ||
{{command|geometry}} | {{command|geometry}} | ||
| − | ;Trilinear[ <Point | + | ;Trilinear[ <Point>, <Point>, <Point>, <Number>, <Number>, <Number> ] |
| − | :creates point whose [[w:Trilinear coordinates|trilinear coordinates]] with respect to triangle | + | :creates point whose [[w:Trilinear coordinates|trilinear coordinates]] with respect to triangle with given points are the given numbers. |
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{| class="wikitable" style="text-align:center;" | {| class="wikitable" style="text-align:center;" | ||
|- | |- | ||
| − | ! Point !! | + | ! Point !! <Number> !! <Number> !! <Number> |
|- | |- | ||
! A | ! A | ||
Revision as of 11:52, 21 August 2013
- 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}) |
