Greek Geometry For Mr. Rubinstein's Math Explorations Class

Gary Rubinstein, Dec 7, 2015


  • 1. Euclid Book I 1
  • 2. Euclid I 2
  • 3. euclid 1 9
  • 4. Euclid I 10 Midpoint
  • 5. Euclid Book I 23
  • 6. Euclid Book I 31
  • 7. Euclid Book I 36
  • 8. Euclid Book I 41
  • 9. Euclid Book I 42
  • 10. Euclid Book I 43
  • 11. Euclid Book I 44
  • 12. Euclid Book I 47
  • 13. Euclid Book VI 9
  • 14. Euclid I 32 Exterior angle theorem
  • 15. Thales Theorem
  • 16. Median drawn to the hypotenuse theorem
  • 17. Archimedes Angle Trisection Method
  • 18. Hippocrates Angle Trisecting
  • 19. Conchoid Of Nicomedes
  • 20. Trisecting an angle with the Conchoid of Nicomedes
  • 21. Trisecting an angle with the Spiral of Archimedes
  • 22. Euclid Book VI 13
  • 23. Euclid I, 11
  • 24. Euclid Book II 14 squaring the rectangle
  • 25. Constructing square roots method 1
  • 26. Constructing square roots method 1
  • 27. 36-72-72 triangle properties
  • 28. Golden Ratio Construction
  • 29. Book IV, Proposition 5
  • 30. Pentagon
  • 31. Lune
  • 32. lune 2
  • 33. Lune 3
  • 34. Archimedes Spiral To Square The Circle
  • 35. Quadratrix
  • 36. Doubling the square
  • 37. Cissoid Of Diocles
  • 38. Constructing the cube root of n with intersecting parabolas

1.

Euclid Book I 1

Starting with segment AB, an equilateral triangle is constructed by first making a circle with center A that passes through B then a circle with center B that passes through A. The intersection of the two circles at C (or the other intersection point) will be the third point of the equilateral triangle? Why?
– Gary Rubinstein

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