conic sections

sonom, Mar 29, 2014

Table of Contents

  1. circle
    1. a circle (equation)
    2. hippias' quadratrix
    3. roots of the quadratic equation
    4. archimedes' twin circles
    5. conchoid of a circle
    6. circle and ellipse
    7. circle-1
  2. parabola
    1. constructing a parabola
    2. a parabola (equation)
    3. the reflective property of parabola
    4. parabolas
    5. the common tangent of two parabolas
    6. parabola-1
  3. ellipse
    1. constructing an ellipse...
    2. an ellipse (equation)
    3. eccentricity of an ellipse
    4. the reflective property of ellipse
    5. ellipses
    6. similar ellipses
    7. parallel tangents of an ellipse
    8. ellipse as a hypotrochoid
    9. trammel of archimedes
    10. area of an ellipse
    11. parametric ellipse
    12. parallel tangents of an ellipse-1
    13. ellipse-1
  4. hyperbola
    1. constructing a hyperbola...
    2. a hyperbola (equation)
    3. equilateral hyperbola
    4. conjugate hyperbolas
    5. hyperbolas
    6. the reflective property of hyperbola
    7. a property of the hyperbola
    8. hyperbola-1
  5. miscellaneous
    1. ellipses and hyperbolas
    2. a definition of conics (directrix)
    3. reflective properties of conic sections
    4. constructing a hyperbola
    5. constructing an ellipse
    6. constructing a parabola

1.

circle

  • 1. a circle (equation)
  • 2. hippias' quadratrix
  • 3. roots of the quadratic equation
  • 4. archimedes' twin circles
  • 5. conchoid of a circle
  • 6. circle and ellipse
  • 7. circle-1

1.1.

a circle (equation)

– 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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2.

parabola

  • 1. constructing a parabola
  • 2. a parabola (equation)
  • 3. the reflective property of parabola
  • 4. parabolas
  • 5. the common tangent of two parabolas
  • 6. parabola-1

2.1.

constructing a parabola

constructing a parabola
– 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.

ellipse

  • 1. constructing an ellipse...
  • 2. an ellipse (equation)
  • 3. eccentricity of an ellipse
  • 4. the reflective property of ellipse
  • 5. ellipses
  • 6. similar ellipses
  • 7. parallel tangents of an ellipse
  • 8. ellipse as a hypotrochoid
  • 9. trammel of archimedes
  • 10. area of an ellipse
  • 11. parametric ellipse
  • 12. parallel tangents of an ellipse-1
  • 13. ellipse-1

3.1.

constructing an ellipse...

constructing an ellipse...
– 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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4.

hyperbola

  • 1. constructing a hyperbola...
  • 2. a hyperbola (equation)
  • 3. equilateral hyperbola
  • 4. conjugate hyperbolas
  • 5. hyperbolas
  • 6. the reflective property of hyperbola
  • 7. a property of the hyperbola
  • 8. hyperbola-1

4.1.

constructing a hyperbola...

constructing a hyperbola...
– sonom

4.2.

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4.3.

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4.4.

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4.5.

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4.6.

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4.7.

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4.8.

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5.

miscellaneous

  • 1. ellipses and hyperbolas
  • 2. a definition of conics (directrix)
  • 3. reflective properties of conic sections
  • 4. constructing a hyperbola
  • 5. constructing an ellipse
  • 6. constructing a parabola

5.1.

ellipses and hyperbolas

ellipses and hyperbolas
– sonom

5.2.

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5.3.

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5.4.

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5.5.

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5.6.

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