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Ellipses and Hyperbolas with the Same Focal Points

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This Demonstration shows that ellipses and hyperbolas with the same focal points (here placed at the points and ) always cross each other orthogonally.

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The variables used for the curves are the eccentricities, for the ellipses and for the hyperbolas.

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Contributed by: Erik Stig Larsen (March 2011)
Open content licensed under CC BY-NC-SA

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