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 ...
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Confocal - Wikipedia, the free encyclopedia
en.wikipedia.org/wiki/Confocal
For an optical cavity consisting of two mirrors, confocal means that they share ... If an ellipse and a hyperbola are confocal, they are perpendicular to each other. |
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Hyperbola - Wikipedia, the free encyclopedia
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Let $(x_0,\,y_0)$ be an intersection point of an ellipse (1) and a hyperbola (2). By polarizing both equations ... Keywords: confocal ellipses, confocal hyperbolas ...
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We study the scattering resonances between two confocal hyperbolas and show that the spectrum is dominated by the efFect of a single periodic orbit. There are ...
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A family of conics all of which share the same foci is called confocal. An equation that describes a confocal family that includes both ellipses and hyperbolas is ...
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are confocal hyperbolas satisfying the equation: Both families of curves are sketched in Figure 2. Here a and b play the role of parameters describing the family ...
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Equation of Family of Confocal Ellipses x2 Ye -f" 21.1.3 -p$gq- Equation of Family of Confocal Hyperbolas _--- x2 Y2 , - j Z 21.1.4 q2 1-7 Relations Between ...
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SAO/NASA ADS Physics Abstract Service.
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and q, such that - = const. represents confocal ellipses and == const. confocal hyperbolas. The use of conjugate functions for the torsion problem has been ...
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