Difference between revisions of "Trilinear Command"

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<noinclude>{{Manual Page|version=4.2}}</noinclude>
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{{command|geometry}}
 
{{command|geometry}}
 
;Trilinear[ <Point>, <Point>, <Point>, <Number>, <Number>, <Number> ]
 
;Trilinear[ <Point>, <Point>, <Point>, <Number>, <Number>, <Number> ]

Revision as of 10:16, 28 July 2015



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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