Re: Forum Geometricorum

pianissimist — Mon, 08 Feb 2010 23:39:24 GMT

Would you please explain your method for proving that

Re: Forum Geometricorum

armpist — Mon, 08 Feb 2010 19:17:45 GMT

... Uploaded file "Sangaku 2.4.2" gives easy solution for this " now easy yet important" Sangaku. Thank you. M.T.

New file uploaded to Hyacinthos

Mon, 08 Feb 2010 19:13:36 GMT

Hello, This email message is a notification to let you know that a file has been uploaded to the Files area of the Hyacinthos group. File : /Sangaku

Forum Geometricorum

ForumGeom — Mon, 08 Feb 2010 16:33:40 GMT

The following paper has been published in Forum Geometricorum. It can be viewed at http://forumgeom.fau.edu/FG2010volume10/FG201002index.html The editors Forum

Re: Hexagonal peg in a triangle hole :-)

chris.vantienhoven — Mon, 08 Feb 2010 15:28:53 GMT

... Dear Hauke, There are 2 solutions for your question of finding hexagons UVWXYZ in such a way that X,V,Z are perspective with C,B,A. In both cases points

Circles with diameter [orthocenter-circumcenter]

Michel — Mon, 08 Feb 2010 14:18:45 GMT

Dear Hyacintos Is that that fact well knomn? In the (ABC) triangle, orthocenter is H = [Sbc:Sac:Sab] and circumcenter U = [a² Sa:b² Sb: C² Sc] and the

Re: Hexagonal peg in a triangle hole :-)

shokoshu2 — Mon, 08 Feb 2010 12:57:47 GMT

... The computation "says" the point of concurrence is #396 and the hexagon center is the barycenter. The boring proof work is yours :-) (Annoyingly, for the

Re: Hexagonal peg in a triangle hole :-)

shokoshu2 — Mon, 08 Feb 2010 10:52:27 GMT

And here are the results of the Numerical Jury: Nope. If you draw a regular hexagon around (0,0) with points (1,0),..., define a random point to be center

Re: Hexagonal peg in a triangle hole :-)

Nikolaos Dergiades — Sat, 06 Feb 2010 01:38:56 GMT

Sorry correct tan(f) = instead of = xyz(x+m)(y+m)(z+m)/[(y-z)(z-x)(x-y)] take = (y-z)(z-x)(x-y)/[xyz(x+m)(y+m)(z+m)] Best regards Nikos Dergiades ...

Re: Hexagonal peg in a triangle hole :-)

Nikolaos Dergiades — Sat, 06 Feb 2010 01:26:51 GMT

Dear Philippe, [Houke] ... [Philippe] ... I don't think so. If P is the 1st isodynamic point X(15) of ABC and A'B'C' is its pedal triangle then rotate the

Re: Hexagonal peg in a triangle hole :-)

Philippe — Fri, 05 Feb 2010 14:56:10 GMT

... ;-) X(370) "Jiang Huanxin introduced this notion in 1997" ... Dear Hauke, I've not completely solved the problem, just played with my favorite geometry

Re: Locus

Nikolaos Dergiades — Fri, 05 Feb 2010 13:10:45 GMT

Dear Antreas, [APH] ... [ND] ... Yes. Let L be an arbitrary line and M be a point on L. From a point P we take vectors PA' = (1/2).MA PB' = (1/2).MB PC' =

Re: Locus

Nikolaos Dergiades — Fri, 05 Feb 2010 11:42:41 GMT

Dear Antreas, [APH] ... I think that there are such examples. Perhaps some cubic in Bernard's list has such a property. I conjecture that for every line we can

Hexagonal peg in a triangle hole :-)

shokoshu2 — Fri, 05 Feb 2010 10:30:24 GMT

Suppose you "inscribe" a regular hexagon UVWXYZ into a triangle ABC such that U lies on AB, W on BC and Y on CA. If the cevians CU,AW,BY intersect, this is the

Re: Locus

Antreas — Fri, 05 Feb 2010 08:35:25 GMT

Dear Nikos [APH] ... [ND] ... 1. For P = X(4) = H (orthocenter) The triangle A*B*C* is the circumcevian triangle of H in the NPC. ABC is the antipedal triangle

Hyacinthos at Yahoo! Groups

Re: Forum Geometricorum

Re: Forum Geometricorum

New file uploaded to Hyacinthos

Forum Geometricorum

Re: *Hexagonal* peg in a triangle hole :-)

Circles with diameter [orthocenter-circumcenter]

Re: *Hexagonal* peg in a triangle hole :-)

Re: *Hexagonal* peg in a triangle hole :-)

Re: *Hexagonal* peg in a triangle hole :-)

Re: *Hexagonal* peg in a triangle hole :-)

Re: *Hexagonal* peg in a triangle hole :-)

Re: Locus

Re: Locus

*Hexagonal* peg in a triangle hole :-)

Re: Locus

Re: Hexagonal peg in a triangle hole :-)

Re: Hexagonal peg in a triangle hole :-)

Re: Hexagonal peg in a triangle hole :-)

Re: Hexagonal peg in a triangle hole :-)

Re: Hexagonal peg in a triangle hole :-)

Re: Hexagonal peg in a triangle hole :-)

Hexagonal peg in a triangle hole :-)