Timeline for A question about Jung's theorem
Current License: CC BY-SA 3.0
5 events
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| Jul 20, 2011 at 22:25 | comment | added | Garabed Gulbenkian | I think that if there is a theorem about points on the surface of a sphere-call it the S theorem-which is analogous to Jung's theorem about points in a plane, then the role of circles in Jung's theorem would be played by Spherical Caps in the S theorem. Spherical caps are those subsets of the whole spherical surface that lie on one side of any plane which intersects the sphere. We assume the standard metric for the spherical surface-the same metric used to measure the sides of triangles in spherical trigonometry. | |
| Jul 19, 2011 at 21:09 | comment | added | Victor Protsak | For the regular tetrahedral configuration ($d=\cos^{-1}(-\frac{1}{3})$), surely it is impossible to cover all points by a single circle! | |
| Jul 19, 2011 at 15:36 | history | edited | ε-δ | CC BY-SA 3.0 |
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| Jul 19, 2011 at 15:22 | history | edited | ε-δ | CC BY-SA 3.0 |
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| Jul 18, 2011 at 14:14 | history | answered | ε-δ | CC BY-SA 3.0 |