Difference between revisions of "TriangleCurve Command"
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<noinclude>{{Manual Page|version=4.2}}</noinclude>{{betamanual|version=4.2}} | <noinclude>{{Manual Page|version=4.2}}</noinclude>{{betamanual|version=4.2}} | ||
{{command|geometry}} | {{command|geometry}} | ||
| − | ;TriangleCurve[<Point P>,<Point Q>,<Point R>,<Equation in A,B,C>] | + | ;TriangleCurve[<Point P>, <Point Q>, <Point R>, <Equation in A, B, C>] |
| − | :creates implicit polynomial, whose equation in [[w:Barycentric_coordinate_system_(mathematics)|barycentric coordinates]] with respect to points P, Q,R is given by the fourth parameter; the barycentric coordinates are | + | :creates implicit polynomial, whose equation in [[w:Barycentric_coordinate_system_(mathematics)|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|1=If ''P,Q,R'' are points, <code>TriangleCurve[P,Q,R,(A-B)*(B-C)*(C-A)=0]</code> gives a cubic curve consisting of the medians of the triangle ''PQR''.}} | + | {{Example|1=If ''P, Q, R'' are points, <code>TriangleCurve[P, Q, R, (A - B)*(B - C)*(C - A) = 0]</code> gives a cubic curve consisting of the medians of the triangle ''PQR''.}} |
{{Example|1= | {{Example|1= | ||
| − | <code>TriangleCurve[A,B,C,A*C=1/8]</code> creates a hyperbola such that tangent to this hyperbola splits triangle ABC in two parts of equal area. | + | <code>TriangleCurve[A, B, C, A*C = 1/8]</code> creates a hyperbola such that tangent 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.}} | {{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.}} | ||
Revision as of 14:45, 26 August 2012
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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 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.
