themes from the history of mathematics

sonom, May 18, 2014

Table of Contents

  1. -300
    1. archimedes' twin circles
    2. ptolemy's theorems
    3. regular tetrahedron
    4. the golden ratio (and aphrodite's phi)
    5. aristotle's wheel paradox
    6. conchoid of nicomedes
    7. pythagorean triples-euclid
    8. pythagorean triples-plato
    9. euclid's proof of pythagorean
    10. an apollonian circle
    11. an archimedes' formula
    12. angle trisection
    13. archimedes' "salinon"
    14. archimedes' arbelos
    15. archimedes' spiral
    16. cissoid of diokles
    17. conchoid of nicomedes-1
    18. generalization (pappus) of pythagorean
    19. geometric mean theorem
    20. hippias' quadratrix
    21. Thales' theorem
    22. the cissoid of diocles
    23. the flower of life
    24. the golden ratio
    25. the intersept (thales) theorem
    26. the lune of Hippocrates
    27. the seed of life
    28. trammel of archimedes
    29. yin-yang
    30. circumference of circles-1
    31. tangram puzzle-1
    32. egyptian system of numeration
    33. sieve of eratosthenes
    34. the height of the pyramid
  2. 300-1500
    1. pythagorean and galileo's law
    2. pythagorean spiral
    3. the lunes of Alhazen
    4. Fibonacci spiral
    5. pythagorean triples-proclus
    6. Brahmagupta's formula
  3. 1500-
    1. Koch snowflake
    2. power of a point
    3. sierpinski triangles
    4. Garfield's proof for pythagorean theorem
    5. deltoid
    6. exeter point
    7. a butterfly curve
    8. a Reuleaux triangle
    9. devil's curves
    10. eight curve
    11. eight curve (construction)
    12. fermat's spiral
    13. feuerbach's point
    14. first brocard point
    15. five roses
    16. gergonne point
    17. golden ratio-3
    18. Johnson's theorem
    19. kappacurve
    20. lemniscate of bernoulli
    21. lemoine point
    22. limacon of pascal
    23. limacon of pascal-1
    24. miquel's triangle theorem
    25. morley's triangle
    26. nagel point
    27. napier's inequality
    28. nine-point circle
    29. pitot theorem
    30. piriform
    31. ranunculoid
    32. rose curves
    33. simson line
    34. the outer Napoleon triangle
    35. the witch of agnesi
    36. vivianni's theorem
    37. versoria
    38. Vieta's formulas
    39. vecten points
    40. trisectrix of maclaurin
    41. pascal's triangle
    42. Seven Circles Theorem
    43. the reuleaux triangle-1
    44. conway circle

1.

-300

  • 1. archimedes' twin circles
  • 2. ptolemy's theorems
  • 3. regular tetrahedron
  • 4. the golden ratio (and aphrodite's phi)
  • 5. aristotle's wheel paradox
  • 6. conchoid of nicomedes
  • 7. pythagorean triples-euclid
  • 8. pythagorean triples-plato
  • 9. euclid's proof of pythagorean
  • 10. an apollonian circle
  • 11. an archimedes' formula
  • 12. angle trisection
  • 13. archimedes' "salinon"
  • 14. archimedes' arbelos
  • 15. archimedes' spiral
  • 16. cissoid of diokles
  • 17. conchoid of nicomedes-1
  • 18. generalization (pappus) of pythagorean
  • 19. geometric mean theorem
  • 20. hippias' quadratrix
  • 21. Thales' theorem
  • 22. the cissoid of diocles
  • 23. the flower of life
  • 24. the golden ratio
  • 25. the intersept (thales) theorem
  • 26. the lune of Hippocrates
  • 27. the seed of life
  • 28. trammel of archimedes
  • 29. yin-yang
  • 30. circumference of circles-1
  • 31. tangram puzzle-1
  • 32. egyptian system of numeration
  • 33. sieve of eratosthenes
  • 34. the height of the pyramid

1.1.

archimedes' twin circles

– sonom

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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1.8.

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1.9.

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1.10.

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1.11.

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1.12.

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1.13.

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1.14.

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1.15.

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1.16.

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1.17.

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1.18.

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1.19.

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1.20.

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1.21.

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1.22.

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1.23.

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1.24.

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1.25.

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1.26.

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1.27.

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1.28.

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1.29.

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1.30.

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1.31.

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1.32.

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1.33.

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1.34.

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2.

300-1500

  • 1. pythagorean and galileo's law
  • 2. pythagorean spiral
  • 3. the lunes of Alhazen
  • 4. Fibonacci spiral
  • 5. pythagorean triples-proclus
  • 6. Brahmagupta's formula

2.1.

pythagorean and galileo's law

pythagorean and galileo's law
– sonom

2.2.

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2.3.

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2.4.

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2.5.

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2.6.

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3.

1500-

  • 1. Koch snowflake
  • 2. power of a point
  • 3. sierpinski triangles
  • 4. Garfield's proof for pythagorean theorem
  • 5. deltoid
  • 6. exeter point
  • 7. a butterfly curve
  • 8. a Reuleaux triangle
  • 9. devil's curves
  • 10. eight curve
  • 11. eight curve (construction)
  • 12. fermat's spiral
  • 13. feuerbach's point
  • 14. first brocard point
  • 15. five roses
  • 16. gergonne point
  • 17. golden ratio-3
  • 18. Johnson's theorem
  • 19. kappacurve
  • 20. lemniscate of bernoulli
  • 21. lemoine point
  • 22. limacon of pascal
  • 23. limacon of pascal-1
  • 24. miquel's triangle theorem
  • 25. morley's triangle
  • 26. nagel point
  • 27. napier's inequality
  • 28. nine-point circle
  • 29. pitot theorem
  • 30. piriform
  • 31. ranunculoid
  • 32. rose curves
  • 33. simson line
  • 34. the outer Napoleon triangle
  • 35. the witch of agnesi
  • 36. vivianni's theorem
  • 37. versoria
  • 38. Vieta's formulas
  • 39. vecten points
  • 40. trisectrix of maclaurin
  • 41. pascal's triangle
  • 42. Seven Circles Theorem
  • 43. the reuleaux triangle-1
  • 44. conway circle

3.1.

Koch snowflake

– sonom

3.2.

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3.3.

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3.4.

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3.5.

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3.6.

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3.7.

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3.8.

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3.9.

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3.10.

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3.11.

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3.12.

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3.13.

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3.14.

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3.15.

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3.16.

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3.17.

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3.18.

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3.19.

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3.20.

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3.21.

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3.22.

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3.23.

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3.24.

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3.25.

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3.26.

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3.27.

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3.28.

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3.29.

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3.30.

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3.31.

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3.32.

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3.33.

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3.34.

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3.35.

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3.36.

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3.37.

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3.38.

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3.39.

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3.40.

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3.41.

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3.42.

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3.43.

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3.44.

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