Geometric Properties of Conics

Nikky Vanderhout, 1/8/2015

These files illustrate the geometric properties of the conics. After viewing the property students should prove the result for the general case.


  • 1. Sum of Focal Lengths
  • 2. Difference of Focal Lengths
  • 3. Reflection Properties of the Ellipse
  • 4. Reflection Property of the Hyperbola
  • 5. Chord of Contact from Directrix (E)
  • 6. Chord of Contact from Directrix (H)
  • 7. Right Angle (E)
  • 8. Right Angle (H)
  • 9. Rectangular Hyperbola Area Property
  • 10. Rectangular Hyperbola Intercept Property

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Sum of Focal Lengths

– Nikky Vanderhout

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