The Department of Mathematics Education
Jim's GSP Library
Last modified on August
27, 2008.
1. Centroid of a triangle
2. Orthocenter
of a triangle
3. Circumcenter
of a triangle
4. Circumcenter
of a triangle as a point equidistant from each vertex
5.
CIRCUMCIRCLE of a triangle
6. Incenter of
a triangle
7. INCIRCLE
of a triangle
8. Rectangle
circumscribed about an ellipse. As a changing rectangle
is rotated about an ellipse so that the sides of the rectangle
are always tangent to the ellipse, the vertices move along a common
circle.
9. Rectangle
circumscribed about an ellipse. Another version of the
rotating rectangular region about the ellipse.
10.
Parabola. The parabola is
the locus of points equidistant from a fixed point (the Focus)
and a line (the directrix).
11. Pentamotion.
Constructing and moving concentric pentagons.
12.
Fourth Proportional.
Given three line segments a, b, and c, construct the fourth
proportional, a segment of length x such that a/b = c/x.
13.
Hyperbola Triangle. A moving
tangent to the hyperbola intersects the asymptotes to define a
triange of a constant area.
14. Circles
of Apollonius. This sketch shows the Circles of Apollonius
for a given triangle ABC. The three circles pass through two points
common to all three circles.
15.
16.
17.
18.
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