Timeline for Theorems in Euclidean geometry with attractive proofs using more advanced methods
Current License: CC BY-SA 2.5
3 events
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| Jul 12, 2010 at 20:11 | comment | added | Steven Stadnicki | Just a small note: your description is missing the constraint that the two sides of the triangle have to change - otherwise you could just take for the $\Gamma_n$ a Pappus chain converging towards one of the triangle's vertices and tangent to the two sides incident on that vertex. A fuller description of the six-circles theorem (with a couple of references to elementary-looking proofs) is at mathworld.wolfram.com/SixCirclesTheorem.html . | |
| Jul 11, 2010 at 17:19 | comment | added | Arseniy Akopyan | This problem from IMO Shortlist. You can find solution for high school students in Prasolov book. But this problem is not so easy in hyperbolic geometry. | |
| Jul 11, 2010 at 15:34 | history | answered | Anton Petrunin | CC BY-SA 2.5 |