TriangleCurve Command
From GeoGebra Manual
Revision as of 16:00, 26 August 2012 by Noel Lambert (talk | contribs)
This page is about a feature that is supported only in GeoGebra 4.2. |
- TriangleCurve[<Point P>, <Point Q>, <Point R>, <Equation in A, B, C>]
- creates implicit polynomial, whose equation in barycentric coordinates with respect to points P, Q, R is given by the fourth parameter; the barycentric coordinates are referred to as A, B, C.
Example: If P, Q, R are points,
TriangleCurve[P, Q, R, (A - B)*(B - C)*(C - A) = 0]
gives a cubic curve consisting of the medians of the triangle PQR.Example:
TriangleCurve[A, B, C, A*C = 1/8]
creates a hyperbola such that tangent, through A or C, to this hyperbola splits triangle ABC in two parts of equal area.
Note: The input 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.