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I have used Geometry Expressions to visualize the Archimedean Twins above and check out a variety of conjectures. Geometry Expressions is the world's first Interactive Symbolic Geometry System. This means: Geometric figures can be defined by either Symbolic Constraints or numeric locations.

You can download Geometry Expressions 1.0 Free Trial. It is a fully featured 30 day evaluation copy of the software. All constraints, constructions and measurements are available for you to use.


 

 

Geometry Expressions - Recent Additions
 

The School of Athens

11.

Sangaku Geometry Theorem: Cyclic Quadrilateral. Inradii, Rectangle.

10.

Apollonius' Problem for Three Circles Illustration with animation and sound.

9.

Sawayama -Thebault's theorem

8.

Seven Circles Theorem.
Step by Step illustration of this beautiful theorem.

7.

Mittenpunkt Point
 

6.

Proposed Problem 57 

Proposed Problem 57: Angle bisector, circles Cyclic Quadrilateral.

5.

Proposed Problem 56 

Proposed Problem 56: Angle bisector, circles Parallel Lines.

4.

Proposed Problem 55 

Proposed Problem 55: Angle bisector, circles Cyclic Quadrilateral.

3.

Geometry problem: angle bisector, circles, midpoint of arc 

Proposed Problem 54: Angle bisector, circles Midpoint of arc.

2.

Geometry problem: angle bisector, circles 

Proposed Problem 53: Angle bisector, circles

1.

Sangaku Proposed Problem 41. "Mickey Mouse."
Three circles, tangents, radii.

 

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Last updated: March 1, 2008