Difference between revisions of "Trilinear Command"
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− | ;Trilinear[<Point A>,<Point B>,<Point C>,<Number u>, <Number v>, <Number w>] | + | ;Trilinear[ <Point A>, <Point B>, <Point C>, <Number u>, <Number v>, <Number w> ] |
− | :creates point whose [[w:Trilinear coordinates|trilinear coordinates]] with respect to triangle ''ABC'' are ''(u,v,w)''. | + | :creates point whose [[w:Trilinear coordinates|trilinear coordinates]] with respect to triangle ''ABC'' are ''(u, v, w)''. |
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− | !Center of excircle tangent to | + | !Center of excircle tangent to [AB] |
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Revision as of 12:47, 17 February 2013
- 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 [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}) |