Curves

Daniel Mentrard, Feb 18, 2022


  • 1. Bezier curves
  • 2. Polygonal bicycle
  • 3. Character curve
  • 4. Unwinding the Theodorus spiral
  • 5. Ellipse trajectories
  • 6. Windmill
  • 7. Curves
  • 8. From the spiral to the root function
  • 9. Superposition of sinusoides
  • 10. Polar curves
  • 11. Polar curves
  • 12. Harmonic motion
  • 13. Inside a pursuit curve
  • 14. Trace of an ellipse with two tangent circles
  • 15. Fish curve
  • 16. Interferences, hyperboles and ellipses
  • 17. Circles and parabola
  • 18. Spirographic curves
  • 19. Hyperbola defined as a set of points
  • 20. Polygonal sinusoides
  • 21. Slicing a cylinder in rotation by diagonal gives a sine function
  • 22. Curves and links from circles
  • 23. An ellipse from circles
  • 24. Fourier series
  • 25. 3Dcurve(Hard egg) vs 2Dcurve (fried egg)
  • 26. Unwrapping an oblique section of a prism
  • 27. Unfolding of the oblique section of a cylinder
  • 28. Spirographic curves with 3 circles
  • 29. Magnus effect on the trajectory of a balloon
  • 30. Polar curves
  • 31. Math'art: Trace of balls in the ellipsoidal billiard
  • 32. Interactive polygonal billiards
  • 33. Talking about the path drawn by a singular figure.
  • 34. Matha'art: trigonometric curves
  • 35. Math'art
  • 36. Catenary vs Parabola
  • 37. How to drills almost square holes?
  • 38. Bicycle with polygonal wheels
  • 39. Spirography
  • 40. Parabolas in sport: tennis service
  • 41. Rebounds of balls
  • 42. Leap and rebound of a ball
  • 43. Ghost function or Paranormal distribution
  • 44. 3D Parabola in a Rugby penality
  • 45. Parabola and basketball shooting
  • 46. Pursuit curves
  • 47. Canonball (the parabola of the fire)
  • 48. Poetic curves
  • 49. Electrocardiogramm
  • 50. Draw an ellipse by folding the circle
  • 51. Polygonal spiral and Baravalle spiral
  • 52. Artistic ballet with linkage
  • 53. The elliptical-based trochoid
  • 54. The curve machine
  • 55. Morphing by splines
  • 56. Analysis of a trajectory for a free kick in football
  • 57. Sinusoids of a spirographic curve
  • 58. Lissajous curve is only a sinusoid rolled on a cylinder
  • 59. Von Neumann's elephant
  • 60. The elephant's minimal curve
  • 61. Lissajous curve is a sum of sine function
  • 62. The Viviani curve
  • 63. Polar curves vs regular curves
  • 64. The Retrograde curve of Planets
  • 65. Courbes paramétrées à base de sinusoides
  • 66. Spiraling
  • 67. The Fourier machine
  • 68. 3D Lissajou and its projections
  • 69. Lemon curves
  • 70. Deplacement, velocity and acceleration in the same visual
  • 71. Parameters of a parabola in the golf
  • 72. How to trace sine function?
  • 73. Polygonaloid curve
  • 74. The Gaussian integral
  • 75. Fourier series
  • 76. ALGEBRIC CURVES
  • 77. Around sine function
  • 78. Algebraic curves

1.

Bezier curves

http://dmentrard.free.fr/GEOGEBRA/Maths/BezierCurvesMD.html
[url=http://dmentrard.free.fr/GEOGEBRA/Maths/BezierCurvesMD.html]http://dmentrard.free.fr/GEOGEBRA/Maths/BezierCurvesMD.html[/url]
– Daniel Mentrard

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