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>, <Point>, <Point>, <Number>, <Number>, <Number> ]
: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 with given points are the given numbers.
  
  
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{| class="wikitable" style="text-align:center;"
 
{| class="wikitable" style="text-align:center;"
 
|-
 
|-
! Point !! u !! v !! w
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! Point !! <Number> !! <Number> !! <Number>
 
|-
 
|-
 
! A  
 
! A  

Revision as of 10:52, 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})
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