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Hyacinthos · We discuss themes on Triangle Geometry

Group Information

  • Members: 606
  • Category: Geometry
  • Founded: Dec 22, 1999
  • Language: English
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Description

We discuss themes on Triangle Geometry (Triangle Points / Lines / Circles, Conics, Cubics etc)

List Owner: Antreas P. Hatzipolakis (in Greece)

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List Owner's Other Group ANOPOLIS and Blogs:

ANTHRAKITIS

ANOPOLIS

MADARA

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Re: 7 circles theorem
Dear Antreas, A drawing suggests not. An "easy" variation is an inversion in the Speiker radical circle. Best regards, Peter. ... From: Antreas To:
Posted - Wed Sep 1, 2010 3:24 pm
Moses, Peter J. C.
peter_mows
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Re: Poncelet type theorem for polygons with odd number of sides
Dear Ivan and François! I found the proof. Consider projective map transforming the inconic to the circle and the concurrence point to its center. It is easy
Posted - Wed Sep 1, 2010 10:42 am
Alexey Zaslavsky
zasl@...
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Re: 7 circles theorem
Variation: Let ABC be a triangle and F1,F2,F3 the ex-Feuerbach points of the triangles HBC,HCA,HAB corrsponding to angles (HBC),(HCA),(HAB), resp. Let (K1) be
Posted - Tue Aug 31, 2010 2:30 pm
Antreas
xpolakis
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Re: Poncelet type theorem for polygons with odd number of sides
Dear François, I do not consider triangles, I consider 2k+1 - gons with k > 1, so the smallest case is pentagon. In the case of a triangle, indeed the locus
Posted - Tue Aug 31, 2010 6:23 am
unbreakable
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Re: Poncelet type theorem for polygons with odd number of sides
Dear Francois! If we look at the configuration of a triangle ABC and its contact triangle A'B'C', then we know lines AA', BB', CC' are on the Gergonne point of
Posted - Tue Aug 31, 2010 6:23 am
Alexey Zaslavsky
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Message History

Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
2010 56 79 111 103 80 81 100 97 2
2009 70 137 105 220 182 121 139 154 86 87 52 68
2008 128 75 70 96 96 84 103 105 95 121 58 117
2007 124 133 182 133 53 45 39 88 100 179 126 87
2006 129 108 348 378 235 324 356 270 109 168 152 138
2005 72 42 62 83 66 51 100 57 83 119 75 181
2004 271 259 196 135 64 143 220 163 213 286 69 54
2003 222 165 225 234 136 103 84 315 343 440 246 147
2002 104 149 235 226 291 123 75 51 41 116 62 147
2001 180 58 181 68 188 224 149 371 327 237 216 148
2000 172 172 269 111 112 147 59 173 217 164 238 329
1999 44
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