Difference between revisions of "TriangleCurve Command"

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;TriangleCurve[<Point A>,<Point B>,<Point C>,<Equation in A,B,C>]
 
;TriangleCurve[<Point A>,<Point B>,<Point C>,<Equation in A,B,C>]

Revision as of 11:19, 4 May 2012


TriangleCurve[<Point A>,<Point B>,<Point C>,<Equation in A,B,C>]
creates implicit polynomial, whose equation in barycentric coordinates with respect to points A,B,C is given by the fourth parameter.
Example: If P,Q,R are points, TriangleCurve[P,Q,R,(A-B)*(B-C)*(C-A)=0] gives a cubic curve consisting of perpendicular bisectors of all the segments PQ, QR, RP.


Note: The first three points can be called A,B or C, but in this case you cannot use e.g. x(A) in the equation, because A is interpreted as the barycentric coordinate.
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