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Confocal Hyperbolas


ConfocalHyperbolasConfocalEllipsesHyperbolas

Hyperbolas sharing common foci (left figure). The family of confocal hyperbolas covers the plane simply, in the sense that there is a unique hyperbola passing through each point in the plane (Hilbert and Cohn-Vossen 1999, p. 5). The figure on the right shows confocal hyperbolas superimposed on confocal ellipses, which form an orthogonal net of curves (Hilbert and Cohn-Vossen 1999, pp. 5-6).


See also

Confocal Conics, Confocal Ellipses, Confocal Parabolas, Ellipse

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References

Hilbert, D. and Cohn-Vossen, S. Geometry and the Imagination. New York: Chelsea, p. 5, 1999.

Referenced on Wolfram|Alpha

Confocal Hyperbolas

Cite this as:

Weisstein, Eric W. "Confocal Hyperbolas." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ConfocalHyperbolas.html

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