Group Information- Members: 3
- Category: Geometry
- Founded: May 5, 2001
- Language: English
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Description
ANOPOLIS: A Personal Geometry List. You may send your comments to Anopolis-owner@yahoogroups.com
List Owner: Antreas P. Hatzipolakis (in Greece)
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List Owner's Other Group HYACINTHOS and Blog ANOPOLIS. |
Re: P,P* - PARALLELOGIC TRIANGLES
GENERALIZATION: Let ABC be a triangle, and Pa,Pb,Pc three perpendiculars to BC,CA,AB, resp. Let L be a line, and Ra,Rb,Rc the reflections of Pa,Pb,Pc in L,
Posted - Wed Jul 29, 2009 11:05 pm
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xpolakis
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P,P* - PARALLELOGIC TRIANGLES
Let ABC be a triangle, P point and P* its isogonal conjugate. Let A'B'C', A"B"C" be the pedal triangles of P,P*, resp. Denote: L := The a line passing through
Posted - Tue Jul 28, 2009 5:49 pm
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xpolakis
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Re: Cevian and Pedal Circles
... GENERAL THEOREM (Proof?): Let ABC be a triangle and P, Q two points. Denote: ApBpCp := The CEVIAN triangle of P AqBqCq := The PEDAL triangle of Q Hp, Hq :=
Posted - Sun Jul 19, 2009 4:50 pm
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xpolakis
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Cevian and Pedal Circles
Theorem (proof?) : Let A'B'C' be the cevian triangle of I wrt. ABC and let H' be the orthocenter of A'B'C'. Then, the reflections of IH' wrt. the sidelines
Posted - Fri Jul 17, 2009 8:51 pm
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xpolakis
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Euler Line / Os (Re: TOLEDO POINT)
1. Let ABC be a triangle and A1,B1,C1 the circumcenters of NBC,NCA,NAB, resp. [where N = The Nine Point Circle Center of ABC] Which point is the NPC center N1
Posted - Tue Jul 14, 2009 9:09 pm
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xpolakis
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