Difference between revisions of "TriangleCenter Command"

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<noinclude>{{Manual Page|version=4.2}}</noinclude>
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|geometry}}
{{command|geometry}}
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;TriangleCenter( <Point>, <Point>, <Point>, <Number> )
;TringleCenter[<Point A>,<Point B>,<Point C>,<Index n>]
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:gives ''n''-th [[w:Triangle center|triangle center]] of triangle ''ABC''. Works for ''n < 3054''.
:gives ''n''-th [http://faculty.evansville.edu/ck6/encyclopedia/ETC.html triangle center] of triangle ''ABC''. Works for n<3054.
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:{{example|1= Let ''A = (1, -2)'', ''B = (6, 1)'' and ''C = (4, 3)''. <code><nowiki>TriangleCenter(A, B, C, 2)</nowiki></code> yields the centroid ''D = (3.67, 0.67)'' of the triangle ''ABC''. }}
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==Some common triangle centers==
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{| class=pretty
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!Index n
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!Center
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|-
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|1
 +
|Incenter
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|-
 +
|2
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|Centroid
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|-
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|3
 +
|Circumcenter
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|-
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|4
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|Orthocenter
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|-
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|5
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|Nine-point center
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|-
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|6
 +
|Symmedian point
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|-
 +
|7
 +
|Gergonne point
 +
|-
 +
|8
 +
|Nagel point
 +
|-
 +
|13
 +
|First isogonic center
 +
|}

Latest revision as of 10:43, 11 October 2017


TriangleCenter( <Point>, <Point>, <Point>, <Number> )
gives n-th triangle center of triangle ABC. Works for n < 3054.
Example: Let A = (1, -2), B = (6, 1) and C = (4, 3). TriangleCenter(A, B, C, 2) yields the centroid D = (3.67, 0.67) of the triangle ABC.


Some common triangle centers

Index n Center
1 Incenter
2 Centroid
3 Circumcenter
4 Orthocenter
5 Nine-point center
6 Symmedian point
7 Gergonne point
8 Nagel point
13 First isogonic center
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