Conjecture and Proof

Tim Brister


  • 1. Seven Circles Theorem
  • 2. How Square Rectangle
  • 3. Quadrilateral Midpoints
  • 4. Circles in a Triangle
  • 5. Triangle Midsegment -- What do you notice?

1.

Seven Circles Theorem

Six circles are placed around the seventh. The three segments (joining opposite points where circles touch) are concurrent.

Does it still work when the circles overlap? What happens if you drag the large red point quite near the middle circle?
– Michael Borcherds

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