Circle Theorems

Michael Borcherds


  • 1. Isosceles Triangle in a Circle (page 1)
  • 2. Isosceles Triangle in a Circle (page 2)
  • 3. Simple Angle in a Semi-circle
  • 4. Angle in a semi-circle
  • 5. Angle in a semi-circle (proof)
  • 6. Simple Angle at the Centre
  • 7. Simple Angle at the Centre (Reflex Case)
  • 8. Angle at the centre (page 1)
  • 9. Angle at the centre (page 2)
  • 10. Angle at the centre (page 3)
  • 11. Angle at the centre (page 4)
  • 12. Angles in the same Segment
  • 13. Angles in the same Segment (Proof)
  • 14. Simple Cyclic Quadrilateral
  • 15. Cyclic Quadrilateral (Proof)
  • 16. Alternate Segment Theorem (page 1)
  • 17. Alternate Segment Theorem (page 2)
  • 18. Alternate Segment Theorem (proof)
  • 19. Common Tangents to a Circle
  • 20. Common Tangents to a Circle (Proof)

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Isosceles Triangle in a Circle (page 1)

– Michael Borcherds

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