curves

sonom, Apr 12, 2014

Table of Contents

  1. loci
    1. astroid
    2. hippias' quadratrix
    3. limacon of pascal
    4. nephroid
    5. piriform
    6. ranunculoid
    7. the cissoid of diocles
    8. the witch of agnesi
    9. an apollonian circle
    10. conchoid of a circle
    11. conchoid of nicomedes
    12. constructing a hyperbola...
    13. constructing a parabola
    14. constructing an ellipse...
    15. cycloids
    16. deltoid
    17. eight curve (construction)
    18. ellipse as a hypotrochoid
    19. ellipses and hyperbolas
    20. a definition of conics (directrix)
    21. bifolium
    22. kappacurve
    23. right strophoid
    24. folium
    25. torpedo curve
    26. constructing a trifolium
    27. trifolium-1
    28. bicorn
    29. trisectrix of maclaurin
    30. deltoid
    31. astroid
    32. versoria
    33. limacon of pascal-1
    34. cardioid-1
    35. cissoid of diokles
    36. lemniscate of bernoulli
    37. eightcurve
    38. conchoid of nicomedes-1
    39. ellipse-1
    40. hyperbola-1
    41. parabola-1
    42. Rolling Coin 滾動的硬幣 (1)
  2. parametric
    1. five roses
    2. hyperbolic spiral
    3. involute of a circle
    4. lituus
    5. rose curves
    6. the logarithmic spiral
    7. cardioid
    8. cochleoid
    9. eight curve
    10. fermat's spiral
    11. archimedes' spiral
    12. a butterfly curve
    13. devil's curves
    14. parametric ellipse
    15. trifolium
    16. parametric hyperbola
    17. fish curve
    18. devil's curves-1
    19. devil's curves-2
    20. circle-1
    21. a butterfly curve-1
    22. devil's curves-3
  3. graphs of functions
    1. f(x)=sinx/x
    2. the exponential and the logarithmic functions
    3. exploring sine curves
    4. f(x)=(cosx-1)/x
    5. f(x)=a/(x-b)+c
    6. f(x)=asin(b(x-c))+d
    7. f(x)=atan(b(x-c))+d
    8. f(x)=ax^2+bx+c
    9. f(x)=ax^4+bx^2+c
    10. f(x)=xsin(1/x)
    11. f(x)=xlnx-x+c
    12. function and derivatives-3
    13. f(x)=q+sqrt(r^2-(x-p)^2)
    14. f(x)=psinx+qcosx
    15. the bell curve

1.

loci

  • 1. astroid
  • 2. hippias' quadratrix
  • 3. limacon of pascal
  • 4. nephroid
  • 5. piriform
  • 6. ranunculoid
  • 7. the cissoid of diocles
  • 8. the witch of agnesi
  • 9. an apollonian circle
  • 10. conchoid of a circle
  • 11. conchoid of nicomedes
  • 12. constructing a hyperbola...
  • 13. constructing a parabola
  • 14. constructing an ellipse...
  • 15. cycloids
  • 16. deltoid
  • 17. eight curve (construction)
  • 18. ellipse as a hypotrochoid
  • 19. ellipses and hyperbolas
  • 20. a definition of conics (directrix)
  • 21. bifolium
  • 22. kappacurve
  • 23. right strophoid
  • 24. folium
  • 25. torpedo curve
  • 26. constructing a trifolium
  • 27. trifolium-1
  • 28. bicorn
  • 29. trisectrix of maclaurin
  • 30. deltoid
  • 31. astroid
  • 32. versoria
  • 33. limacon of pascal-1
  • 34. cardioid-1
  • 35. cissoid of diokles
  • 36. lemniscate of bernoulli
  • 37. eightcurve
  • 38. conchoid of nicomedes-1
  • 39. ellipse-1
  • 40. hyperbola-1
  • 41. parabola-1
  • 42. Rolling Coin 滾動的硬幣 (1)

1.1.

astroid

astroid
– 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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1.35.

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1.36.

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1.37.

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1.38.

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1.39.

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1.40.

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1.41.

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1.42.

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2.

parametric

  • 1. five roses
  • 2. hyperbolic spiral
  • 3. involute of a circle
  • 4. lituus
  • 5. rose curves
  • 6. the logarithmic spiral
  • 7. cardioid
  • 8. cochleoid
  • 9. eight curve
  • 10. fermat's spiral
  • 11. archimedes' spiral
  • 12. a butterfly curve
  • 13. devil's curves
  • 14. parametric ellipse
  • 15. trifolium
  • 16. parametric hyperbola
  • 17. fish curve
  • 18. devil's curves-1
  • 19. devil's curves-2
  • 20. circle-1
  • 21. a butterfly curve-1
  • 22. devil's curves-3

2.1.

five roses

five roses
– 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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2.7.

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2.8.

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2.9.

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2.10.

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2.11.

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2.12.

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2.13.

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2.14.

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2.15.

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2.16.

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2.17.

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2.18.

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2.19.

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2.20.

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2.21.

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2.22.

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3.

graphs of functions

  • 1. f(x)=sinx/x
  • 2. the exponential and the logarithmic functions
  • 3. exploring sine curves
  • 4. f(x)=(cosx-1)/x
  • 5. f(x)=a/(x-b)+c
  • 6. f(x)=asin(b(x-c))+d
  • 7. f(x)=atan(b(x-c))+d
  • 8. f(x)=ax^2+bx+c
  • 9. f(x)=ax^4+bx^2+c
  • 10. f(x)=xsin(1/x)
  • 11. f(x)=xlnx-x+c
  • 12. function and derivatives-3
  • 13. f(x)=q+sqrt(r^2-(x-p)^2)
  • 14. f(x)=psinx+qcosx
  • 15. the bell curve

3.1.

f(x)=sinx/x

f(x)=sinx/x
– 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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