**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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