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mathworld.wolfram.com/ConfocalEllipses.html
Ellipses sharing common foci (left figure). The family of confocal ellipses covers the plane simply, in the sense that there is a unique ellipse passing through ...
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.
Elliptic coordinate system - Wikipedia, the free encyclopedia
en.wikipedia.org/wiki/Elliptic_coordinate_system
In geometry, the elliptic coordinate system is a two-dimensional orthogonal coordinate system in which the coordinate lines are confocal ellipses and hyperbolae ...
www.youtube.com/watch?v=LOiWxZTBgZ0
Feb 7, 2011 ... A third pin is introduced in the construction of ellipse with string and two pins. How it alters the string length giving a confocal ellipse is shown.
planetmath.org/encyclopedia/HyperbolasOrthogonalToEllip... planetmath.org/encyclopedia/HyperbolasOrthogonalToEllipses.html
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 ...
link.aip.org/link/?PHFLE6/6/3833/1
The analytical solution of Stokes' equations between two concentric, confocal ellipses is derived here. This bounded flow, similar in certain respects to the ...
link.aip.org/link/?PHFLE6/8/677/1
The annular region between two concentric, confocal ellipses is a new geometry which is particularly .... The steady flow3 between two confocal ellipses turning ...
www.cut-the-knot.org/Curriculum/Geometry/AngleBisectors... www.cut-the-knot.org/Curriculum/Geometry/AngleBisectorsInEllipse2.shtml
So we now have two confocal ellipses: ellipse1 (the original one) and ellipse2 ( passing through S.) The configuration admits the following interpretation. Draw a ...
www.ams.org/bull/1934-40-02/S0002-9904-1934-05809-9/S00... www.ams.org/bull/1934-40-02/S0002-9904-1934-05809-9/S0002-9904-1934-05809-9.pdf
POLYNOMIALS ON CONFOCAL ELLIPSES*. BY J. L. WALSH. In the study of polynomial expansions of analytic functions in the complex plane, two different ...
www.cut-the-knot.org/Curriculum/Geometry/EnvelopesInEll... www.cut-the-knot.org/Curriculum/Geometry/EnvelopesInEllipse.shtml
Reflections in Ellipse: light rays reflected by the inner surface of an ellipse envelope either a confocal ellipse or a confocal hyperbola.
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