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.

Draw the triangle with vertices located at the points A(1,2),B(1,3),C(2,4)
together with its circumcircle.

Draw the circle given by the equation

Draw the parabola given by the equation

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:

Points of interest: GergonnePoint, NagelPoint, centroid, orthocenter.

Lines of interest: EulerLine, ExternalBisector, SimsonLine, altitude, bisector,
median.

Circles of interest: EulerCircle, circumcircle, excircle, incircle

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

Given three disjoint circles, draw all possible Appolonius circles.
Construct this with Maple:

Draw the same picture with Geometer's Sketchpad.

Construct the inversion of a point with respect to a circle

Construct the inversion of a circle with respect to another given circle.

Construct an ellipse.

Construct a hyperbola.

Construct a parabola.

Construct the inversion of an ellipse with respect to a given circle.

Construct the inversion of a hyperbola with respect to a given circle.

Construct the inversion of a parabola with respect to a given circle.
exp9.tex