Curves 2D

Juan Carlos Ponce Campuzano, SAVAŞ ORHAN, 7. 3. 2018

Construction of curves with geometric properties.

Obsah

  1. Locii
    1. Curve of three bars
    2. Curve with triangle
    3. Rounded triangle
    4. Watt's curve
    5. Watt's curve II
    6. Curve of three bars II
    7. Epicycloid & Epitrochoid
    8. Hypocycloid & Hypotrochoid
    9. Four-leaved clover
    10. Quadratrix or trisectrix of Hippias
    11. Cycloid of Ceva
    12. The hidden curve
  2. Parametric equation
    1. Flower I
    2. Flower II
    3. Flower III
    4. Flower IV
    5. Polar flower
    6. Harmonograph
    7. Rainbow flower
    8. Rainbow flower II
    9. Rainbow flower III
    10. Chebyshev spiral
  3. Envelopes
    1. Caustic
    2. Conics as envelopes
    3. Tschirnhausen curve

1.

Locii

  • 1. Curve of three bars
  • 2. Curve with triangle
  • 3. Rounded triangle
  • 4. Watt's curve
  • 5. Watt's curve II
  • 6. Curve of three bars II
  • 7. Epicycloid & Epitrochoid
  • 8. Hypocycloid & Hypotrochoid
  • 9. Four-leaved clover
  • 10. Quadratrix or trisectrix of Hippias
  • 11. Cycloid of Ceva
  • 12. The hidden curve

1.1.

Curve of three bars

For details go to: [url=http://www.mathcurve.com/courbes2d/troisbarres/troisbarre.shtml]http://www.mathcurve.com/courbes2d/troisbarres/troisbarre.shtml[/url]
– Juan Carlos Ponce Campuzano

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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2.

Parametric equation

  • 1. Flower I
  • 2. Flower II
  • 3. Flower III
  • 4. Flower IV
  • 5. Polar flower
  • 6. Harmonograph
  • 7. Rainbow flower
  • 8. Rainbow flower II
  • 9. Rainbow flower III
  • 10. Chebyshev spiral

2.1.

Flower I

– Juan Carlos Ponce Campuzano

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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3.

Envelopes

  • 1. Caustic
  • 2. Conics as envelopes
  • 3. Tschirnhausen curve

3.1.

Caustic

– Juan Carlos Ponce Campuzano

3.2.

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3.3.

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Informace