Timeline for Under which conditions do ellipsoids have a focal property?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Feb 5, 2019 at 18:29 | comment | added | Josué Tonelli-Cueto | @MartinSeysen In that case, one has a tangent property of rays and the statement is proven! | |
| Jan 29, 2019 at 12:14 | history | edited | Ivan Izmestiev |
tag edit
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| Jan 29, 2019 at 12:13 | answer | added | Ivan Izmestiev | timeline score: 5 | |
| Jan 19, 2019 at 10:23 | comment | added | Martin Seysen | Assume $\lambda_1 = \lambda_2 < \lambda_3$. Let $H$ be the plane spanned by the unit vectors corresponding to $x_1$ and $x_2$. Then the circle $C$ lies in $H$. Any light ray emitted from a point $P$ in $C$ in a direction parallel to a vector in $H$ stays in $H$ after an arbitrary number of refections on $E$. In this case you have a simple planar reflection problem, and you can easily disprove the focal property the point $P$. Or am I missing something? | |
| Jan 18, 2019 at 21:30 | history | edited | Josué Tonelli-Cueto | CC BY-SA 4.0 |
Reflectionw as wrong
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| Jan 18, 2019 at 21:25 | history | edited | Josué Tonelli-Cueto | CC BY-SA 4.0 |
added 1145 characters in body
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| Jan 18, 2019 at 20:55 | comment | added | Fly by Night | Please give more information; your question is difficult to understand. Can you give an equation for an ellipsoid, coordinates for the foci, and equation for the axis of rotation? When you rotate the ellipsoid, you get a self-intersecting surface and the reflecting light rays will form a complicated mess. Please be more specific. | |
| Jan 18, 2019 at 17:56 | history | asked | Josué Tonelli-Cueto | CC BY-SA 4.0 |