Conic Section GeoGebra Collection

Chip Rollinson, Jun 26, 2014

Table of Contents

  1. General
    1. Conic sections
    2. Conic Sections: Plane Intersecting Double Cone
    3. Conic sections animated
    4. Animations of Conic Sections
    5. Conical in the cone
    6. General Geometric Definition - Cases
    7. Solstice Shadow - Mt. Auburn Cemetery
    8. General Geometric Definition - Eccentricity
    9. Dandelin Spheres
    10. Video - Dandelin Spheres
    11. Five-point conic
    12. Conic through five random points
    13. Video - Conic Sections - Pizza dough
    14. Video - Vi Hart - Connecting Dots
    15. Video - Shadow Conics
    16. Video - Peristrofographs & Nimagraphs
    17. Pascal's Theorem
    18. Locus of between two points
    19. Around Cone Mountain puzzle
    20. Shadows of a stick in the ground
    21. Rolling Parabola
    22. Rolling Conic Sections
    23. 5-point conic spinning tangents
    24. Circle Tangents
    25. Balls Bouncing in Conics (some with gravity, some without)
  2. Parabolas
    1. Parabola - Geometric Definition I
    2. Parabola - Geometric Definition II
    3. Parabola reflection
    4. Parabola reflection - light bulb
    5. Parabolic reflector / antenne parabolique
    6. Parabolas in Real Life - Lights
    7. Parabolas in Real Life - Satellite Dishes
    8. Parabolas in Real Life - Solar Furnaces and Buildings that Unintentionally Burn Things
    9. Parabolas in Real Life - Parabolic Microphones
    10. Parabola - Hologram
    11. Parabola - derivation & example problems
    12. Parabola - All Parabolas are Similar?
    13. Video - Circular Parabola?
  3. Circles/Ellipses
    1. Ellipse - Geometric Definition
    2. Ellipse - Graph & Equations
    3. Ellipse in a Circle Locus
    4. Ellipse reflections
    5. Ellipse - Many Reflections
    6. Ellipses in Real Life - Whispering Gallery
    7. Ellipses in Real Life - Lithotripter
    8. Ellipses in Real Life - Pool for Dummies
    9. Ellipses in Real Life - Orbits
    10. Video - Machines Drawing Ellipses
    11. Ellipse with tangent circles
    12. Ellipse with concentric circles
    13. Ellipse with concentric circles #2
    14. Ellipse - Points on moving circle
    15. Scissors for an ellipse
    16. Draw an ellipse by folding the circle
    17. Dandelin Spheres (how the various geometric definitions tie together!)
    18. Ellipse Tangents - Cool Property
    19. Rhombus inscribed in ellipse, circumscribing a circle
    20. Circle bounding a rectangle bounding an ellipse
    21. Random Polygon to Ellipse
    22. Moving Points
    23. Trammel of Archimedes
    24. Rotating Ellipses
  4. Hyperbolas
    1. Hyperbola - Graph & Equations w/ asymptotes
    2. Hyperbola with a Circle Locus
    3. Hyperbola waves
    4. Hyperbola reflections
    5. Hyperbola Focus Proof
    6. Ruled Surface
    7. Hyperboloid Via Segments
    8. Video - Hyperboloids
    9. Circunferencias tangentes a 2 circunferencias exteriores
    10. Hyperbolas in Real Life - Gears and Reactors
    11. Hyperbolas in Real Life - Sonic Boom
    12. Hyperbolas in Real Life - Pencils and Lamps
    13. Hyperbolas in Real Life - LORAN Navigation
    14. Hyperbolas in Real Life - Reflecting Telescopes
    15. Rotating Lines
    16. Triangle formed by a hyperbola's tangent and asymptotes
  5. Intersections with non-cones
    1. Plane and elliptic paraboloid
    2. Plane and quadric surface
    3. Plane and distance-sum function
    4. plane and distance-difference function
    5. Plane and distance to 3-points
    6. Plane and weighted-sum distances to 3-points

1.

General

  • 1. Conic sections
  • 2. Conic Sections: Plane Intersecting Double Cone
  • 3. Conic sections animated
  • 4. Animations of Conic Sections
  • 5. Conical in the cone
  • 6. General Geometric Definition - Cases
  • 7. Solstice Shadow - Mt. Auburn Cemetery
  • 8. General Geometric Definition - Eccentricity
  • 9. Dandelin Spheres
  • 10. Video - Dandelin Spheres
  • 11. Five-point conic
  • 12. Conic through five random points
  • 13. Video - Conic Sections - Pizza dough
  • 14. Video - Vi Hart - Connecting Dots
  • 15. Video - Shadow Conics
  • 16. Video - Peristrofographs & Nimagraphs
  • 17. Pascal's Theorem
  • 18. Locus of between two points
  • 19. Around Cone Mountain puzzle
  • 20. Shadows of a stick in the ground
  • 21. Rolling Parabola
  • 22. Rolling Conic Sections
  • 23. 5-point conic spinning tangents
  • 24. Circle Tangents
  • 25. Balls Bouncing in Conics (some with gravity, some without)

1.1.

Conic sections

Instructions:
[list][*]Drag the sliders.[br][/*][*]Use right click and drag the mouse to rotate the 3D view.[br][/*][/list]
Drag the sliders to observe different conic sections.
– Juan Carlos Ponce Campuzano

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1.11.

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1.14.

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1.16.

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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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2.

Parabolas

  • 1. Parabola - Geometric Definition I
  • 2. Parabola - Geometric Definition II
  • 3. Parabola reflection
  • 4. Parabola reflection - light bulb
  • 5. Parabolic reflector / antenne parabolique
  • 6. Parabolas in Real Life - Lights
  • 7. Parabolas in Real Life - Satellite Dishes
  • 8. Parabolas in Real Life - Solar Furnaces and Buildings that Unintentionally Burn Things
  • 9. Parabolas in Real Life - Parabolic Microphones
  • 10. Parabola - Hologram
  • 11. Parabola - derivation & example problems
  • 12. Parabola - All Parabolas are Similar?
  • 13. Video - Circular Parabola?

2.1.

Parabola - Geometric Definition I

Parabola - Geometric Definition I
– Chip Rollinson

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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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3.

Circles/Ellipses

  • 1. Ellipse - Geometric Definition
  • 2. Ellipse - Graph & Equations
  • 3. Ellipse in a Circle Locus
  • 4. Ellipse reflections
  • 5. Ellipse - Many Reflections
  • 6. Ellipses in Real Life - Whispering Gallery
  • 7. Ellipses in Real Life - Lithotripter
  • 8. Ellipses in Real Life - Pool for Dummies
  • 9. Ellipses in Real Life - Orbits
  • 10. Video - Machines Drawing Ellipses
  • 11. Ellipse with tangent circles
  • 12. Ellipse with concentric circles
  • 13. Ellipse with concentric circles #2
  • 14. Ellipse - Points on moving circle
  • 15. Scissors for an ellipse
  • 16. Draw an ellipse by folding the circle
  • 17. Dandelin Spheres (how the various geometric definitions tie together!)
  • 18. Ellipse Tangents - Cool Property
  • 19. Rhombus inscribed in ellipse, circumscribing a circle
  • 20. Circle bounding a rectangle bounding an ellipse
  • 21. Random Polygon to Ellipse
  • 22. Moving Points
  • 23. Trammel of Archimedes
  • 24. Rotating Ellipses

3.1.

Ellipse - Geometric Definition

Mr. Fidler explains the geometric definition of an ellipse...
– Chip Rollinson

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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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3.16.

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3.17.

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3.18.

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3.19.

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3.20.

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3.21.

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3.22.

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3.23.

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3.24.

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4.

Hyperbolas

  • 1. Hyperbola - Graph & Equations w/ asymptotes
  • 2. Hyperbola with a Circle Locus
  • 3. Hyperbola waves
  • 4. Hyperbola reflections
  • 5. Hyperbola Focus Proof
  • 6. Ruled Surface
  • 7. Hyperboloid Via Segments
  • 8. Video - Hyperboloids
  • 9. Circunferencias tangentes a 2 circunferencias exteriores
  • 10. Hyperbolas in Real Life - Gears and Reactors
  • 11. Hyperbolas in Real Life - Sonic Boom
  • 12. Hyperbolas in Real Life - Pencils and Lamps
  • 13. Hyperbolas in Real Life - LORAN Navigation
  • 14. Hyperbolas in Real Life - Reflecting Telescopes
  • 15. Rotating Lines
  • 16. Triangle formed by a hyperbola's tangent and asymptotes

4.1.

Hyperbola - Graph & Equations w/ asymptotes
– Chip Rollinson

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4.9.

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4.10.

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4.11.

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4.12.

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4.13.

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4.14.

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4.15.

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4.16.

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5.

Intersections with non-cones

  • 1. Plane and elliptic paraboloid
  • 2. Plane and quadric surface
  • 3. Plane and distance-sum function
  • 4. plane and distance-difference function
  • 5. Plane and distance to 3-points
  • 6. Plane and weighted-sum distances to 3-points

5.1.

Plane and elliptic paraboloid

– Chip Rollinson

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Information