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Hyacinthos · We discuss themes on Triangle Geometry

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Group Information

  • Members: 3
  • 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:

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Most Recent Messages

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HYACINTHOS moved to ANOPOLIS List
1. Hyacinthos is closed. The archive is available. 2. Hyacinthos members may subscribe to ANOPOLIS list: Related Link: http://groups.yahoo.com/group/Hyacinthos
Posted - Fri Apr 19, 2013 6:06 am
xpolakis
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Locus, Poncelet Point
Let ABC be a triangle, P a point, and (Op) the cevian circle of P (with center Op). Which is the locus of P such that the Poncelet point of Op (ie the point of
Posted - Thu Apr 18, 2013 1:15 pm
Antreas
xpolakis
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Re: NPC. locus.
My apologies. I misread Francisco Javier's post below. As he explained privately, he meant the difference: LOCUS = SEXTIC(Q014) - SEXTIC(S 4 S^2 x y z (x + y
Posted - Thu Apr 18, 2013 10:58 am
rhutson2
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Re: NPC. locus.
Francisco Javier, While Q014 mentions PU(5), it does not contain them, nor X(13) and X(14), which are on this curve. Also, X(80) which is on Q014, is not on
Posted - Thu Apr 18, 2013 8:20 am
rhutson2
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Re: NPC. locus.
This is the tricircular sextic Q014 - 4 S^2 x y z (x + y + z) (c^2 x y + b^2 x z + a^2 y z) where S=twice the area of ABC. (tricircular = the circular points
Posted - Thu Apr 18, 2013 6:30 am
Francisco Javier
garciacapitan
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Message History

Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
2013 156 167 222 115
2012 167 107 68 41 48 31 51 59 47 28 47 21
2011 172 71 72 54 76 48 30 58 34 22 165 178
2010 56 79 111 103 80 81 100 97 74 63 144 111
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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