Group Information- Members: 630
- 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 |
Re: Euler Line
Antipedal triangle variation: Let ABC be a triangle, P a point, A'B'C' the antipedal triangle of P, A'a, B'b, C'c the orthogonal projections of A',B',C' on the
Posted - Tue Feb 14, 2012 10:13 am
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Antreas
xpolakis
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Re: Euler Line
Generalization: P,P* = two isogonal conjugate points. A1B1C1, A2B2C2 = the pedal triangles of P,P*, resp. Aa, Bb, Cc = the orth. projections of A,B,C on PP*,
Posted - Mon Feb 13, 2012 11:42 am
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Antreas
xpolakis
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Euler Line
Let ABC be a triangle, Aa,Bb,Cc the orth. projections of A,B,C on the Euler line, resp., A1B1C1, A2B2C2 the medial, orthic triangles, resp. and P a point. Let
Posted - Mon Feb 13, 2012 10:36 am
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Antreas
xpolakis
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Re: NPC
... More generally, PaPbPc lie on the circle with diameter PH. And a trivial generalization: for any P and Q, the orthogonal.projections of P on the cevians of
Posted - Sat Feb 11, 2012 7:29 pm
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Barry Wolk
wolkbarry
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Re: X3542 : A construction
Sorry, I made a typo again. In the first paragraph it will be "under a homothety of ratio 2 wrt H". On Sat, Feb 11, 2012 at 3:52 AM, Chandan Banerjee ... --
Posted - Fri Feb 10, 2012 10:25 pm
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Chandan Banerjee
cbanerjee.2011
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