Visual Mathematics

Bill Lombard, Jul 27, 2014

GeoGebra applets created by users of GeoGebraTube


  • 1. Distances from three points
  • 2. Point in an Equilateral Triangle
  • 3. Moss Egg by Robert Dixon
  • 4. The Pythagorean Theorem.
  • 5. Pythagorean Theorem Proof without Words
  • 6. Espiral de Baravelle
  • 7. Baravelle's Spiral and Infinite Geometric Series
  • 8. Rotating Fan
  • 9. Circle mandala
  • 10. Square Inscribed in an Isosceles Right Triangle
  • 11. Pythagorean Theorem proof by translation
  • 12. Archimedean Spiral built by parametric equations
  • 13. Crossing Wires Problem
  • 14. Nested Median Triangles
  • 15. Approximation of pi using inscribed polygons
  • 16. The Cycloid
  • 17. Triangle Area Calculated via Rotation
  • 18. Parallelogram Translated to Rectangle
  • 19. Trapezoid transformation to rectangle
  • 20. Pythagorean Theorem trapezoid proof by President Garfield
  • 21. Pyramid Math
  • 22. Spiraling Squares - a.k.a. The Four Ants problem
  • 23. Circles on Octagonal grid with animated points/segments
  • 24. Animated Box with vertices on circles
  • 25. Absolute value problem models
  • 26. Pulsating Points - Frame of Reference
  • 27. Straight Line Motion Illusion - Frame of Reference
  • 28. Pythagorean Theorem proof by similar triangles
  • 29. Three Intersecting Circles
  • 30. Hidden Equilateral Triangle
  • 31. Curious Corridors of Numbers
  • 32. Polar Vector Clock
  • 33. Polygons and Diagonals

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Distances from three points

You can place three points non-colinearly anywhere in the plane by dragging the GREEN dots. You can move the RED line by dragging the RED dots. Challenge: Can you place the RED line so that it is equidistant from all three GREEN dots? How many ways can you do this? How do you know?
– Judah L Schwartz

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