Mathematical Experiment 9
The basic commands contained in the
packge Geometry are draw and detail.
To create geometric objects, use
the following function calls:
circle, conic, dsegment, ellipse, hyperbola, line, parabola, point,
segment, square, triangle.
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Draw the triangle with vertices located at the points A(1,2),B(1,3),C(2,4)
together with its circumcircle.
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Draw the circle given by the equation
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Draw the parabola given by the equation
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Draw the conic passing through points (1,2),(2,3),(-1,2),(0,2),(1,1).
The following functions relating to a triangle are supported:
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Points of interest: GergonnePoint, NagelPoint, centroid, orthocenter.
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Lines of interest: EulerLine, ExternalBisector, SimsonLine, altitude, bisector,
median.
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Circles of interest: EulerCircle, circumcircle, excircle, incircle
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Others: AreConjugate, AreSimilar, IsEquilateral, IsRightTriangle, PedalTriangle,
area, medial, method, sides
Commands related to the circle:
Appolonius, AreOrthogonal, CircleOfSimilitude, Equation, RadicalAxis,
RadicalCenter, TangentLine, area, center, powerpc, radius, similitude
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Given three disjoint circles, draw all possible Appolonius circles.
Construct this with Maple:
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Draw the same picture with Geometer's Sketchpad.
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Construct the inversion of a point with respect to a circle
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Construct the inversion of a circle with respect to another given circle.
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Construct an ellipse.
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Construct a hyperbola.
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Construct a parabola.
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Construct the inversion of an ellipse with respect to a given circle.
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Construct the inversion of a hyperbola with respect to a given circle.
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Construct the inversion of a parabola with respect to a given circle.
exp9.tex
