Curves 2D

Juan Carlos Ponce Campuzano, Nov 24, 2016

Construction of curves with geometric properties.

Table of Contents

  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
    13. Jansen's linkage
    14. Sacred lotus flower
    15. Sacred flower II
  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
  • 13. Jansen's linkage
  • 14. Sacred lotus flower
  • 15. Sacred flower II

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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1.13.

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1.14.

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1.15.

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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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Information