Difference between revisions of "Trilinear Command"

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<noinclude>{{Manual Page|version=4.2}}</noinclude>
 
<noinclude>{{Manual Page|version=4.2}}</noinclude>
 
{{command|geometry}}
 
{{command|geometry}}
;Trilinear[<Point A>,<Point B>,<Point C>,<Number u>, <Number v>, <Number w>]
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;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)''.
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:creates point whose [[w:Trilinear coordinates|trilinear coordinates]] with respect to triangle ''ABC'' are ''(u, v, w)''.
  
  
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||1||-1||1
 
||1||-1||1
 
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!Center of excircle  tangent to à [AB]
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!Center of excircle  tangent to [AB]
 
||1||1||-1
 
||1||1||-1
 
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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})
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