Please see http://faculty.evansville.edu/ck6/encyclopedia/CentralLines.html . There are at least 222 indexed triangle centers on the Euler Line (as of the...
20241
alper cay
alpercay2000
Sep 21, 2011 8:50 pm
Thanks Randy. [Non-text portions of this message have been removed]...
20242
Jean-Louis Ayme
jeanlouisayme
Sep 26, 2011 12:35 pm
Dear Hyacinthists, I present a new theorem which I have proved synthetically (next on my site) and lead to a lot of new centers 1. ABC a triangle 2. (O) the...
20243
Angel
amontes1949
Sep 26, 2011 8:16 pm
Dear Jean-Louis S = K P Q (1/R) barycentric product; 1/R, isotomic conjugate of R Thus, if R is the symmedian, then S is the barycentric product of P and Q:...
20244
Deoclecio
deocleciomota
Sep 28, 2011 4:34 pm
Sawayama - Thébault's Theorem Abstract. We present a new proof of Sawayama - Thébault's Theorem using the theory of the coaxal circles and the theory of the...
20245
Forum Geometricorum
ForumGeom@...
Sep 28, 2011 5:22 pm
The following paper has been published in Forum Geometricorum. It can be viewed at http://forumgeom.fau.edu/FG2011volume11/FG201120index.html The editors Forum...
20246
Deoclecio
deocleciomota
Sep 28, 2011 5:25 pm
Dear Friends, I submitted the my paper Sawayama-Thebault's Theorem to Forum Geometricorum, see hyacinthos message #20244. In response, the anonymous referee...
20247
armpist
Sep 28, 2011 6:37 pm
... Dear Deoclecio, In H. msg# 15996 I mention the fact that incenter is a limiting point of Thebault circles, and in # 18944 ask for ,if possible, a simple ...
20248
Deoclecio
deocleciomota
Sep 28, 2011 8:52 pm
... Dear Mark, My paper demonstrates that the limiting point of the Thebault Circles is the incenter of the basic triangle. The proof is based on the geometry...
20249
jeanlouisayme
Sep 29, 2011 9:59 am
Dear Deoclecio Gouveia Mota Junior. I read the different message and ask you if you can put on this site or send me the complete article that you have...
20250
Jean-Louis Ayme
jeanlouisayme
Oct 2, 2011 11:45 am
Dear Hyacinthos, I research some information about the geometer Huseyin Demir who wrote a nice article bout incircles... I have this reference ...
20251
Mustafa Demirplak
demirpla
Oct 3, 2011 4:57 am
That article by Cem Tezer (who is a geometer at the Middle East Technical University of Ankara where Hüseyin Demir worked for a long time, too.) was published...
20252
Sung Hyun Lim
bbblow
Oct 5, 2011 1:09 pm
Dear triangle geometers, I am currently working on the following problem: what is a condition for a pencil of conic (conics through given four points, real or...
20253
Luis
luisgeometria
Oct 5, 2011 4:21 pm
How come the isotomic conjugate U of X(1078) is not in the current edition of the ETC?. U is the perspector of the Nine-point circle U is the pole of the...
20254
Randy Hutson
rhutson2
Oct 5, 2011 4:31 pm
Luis, I had also found this center interesting and submitted it to Clark Kimberling in August with the following description: Perspector of ABC and...
20256
Antreas Hatzipolakis
xpolakis
Oct 6, 2011 2:15 pm
Steve was among the greatest of American innovators - brave enough to think differently, bold enough to believe he could change the world, and talented enough...
20257
Francisco Javier
garciacapitan
Oct 6, 2011 5:52 pm
Antreas, I agree with you. Here is the speech of Steve Jobs at Stanford University, don't miss it! www.youtube.com/watch?v=D1R-jKKp3NA Here it is a version...
20258
Antreas Hatzipolakis
xpolakis
Oct 6, 2011 6:09 pm
... ....... and here is translation of the text into Greek: http://www.insurancedaily.gr/blog/?p=31843 aph [Non-text portions of this message have been...
20259
busywithgeo
Oct 12, 2011 5:43 pm
A point E lies on the altitude BD of triangle ABC, and \angle AEC = 90. Points O_1 and O_2 are the circumcenters of triangles AEB and CEB; points F,L are the...
20260
Alexey Zaslavsky
zasl@...
Oct 13, 2011 5:59 am
This is a problem of Dmitry Shvecov from Sharygin olympiad. Sincerely Alexey A point E lies on the altitude BD of triangle...
20262
Barry Wolk
wolkbarry
Oct 14, 2011 8:33 pm
... A generalization makes this an easier problem. For any triangle AEC, let F be the midpoint of AC, and take any points O_1 and O_2 such that O_1 F //...
20263
Forum Geometricorum
ForumGeom@...
Oct 21, 2011 2:52 pm
The following paper has been published in Forum Geometricorum. It can be viewed at http://forumgeom.fau.edu/FG2011volume11/FG201121index.html The editors Forum...
20264
Kafka Catalin
kafka_mate
Oct 23, 2011 7:55 am
Dear Colleagues, I would like to mention that a new Geometry Journal has been launched "International Journal of Geometry". You...
20265
Francisco Javier
garciacapitan
Oct 23, 2011 5:13 pm
This question was forgotten for too long! The locus is line at infinity + Steiner circumellipse. When the point is on the Steiner circumellipse, the line...
20266
Francisco Javier
garciacapitan
Oct 23, 2011 8:42 pm
Another unanswered post. In this case, the locus is a cubic with long equation (shown below) through X3 and X4. Best regards, Francisco Javier. ... S stands...
20267
Francisco Javier
garciacapitan
Oct 24, 2011 5:30 am
In the pedal case, the locus is (line at infinity) + (circumcircle) + (napoleon cubic). In the cevian case, the locus is a 15th degree curve through X2, X4 and...
20268
Barry Wolk
wolkbarry
Oct 27, 2011 10:39 pm
... [long equation snipped -- BW] ... Since points at infinity are extraneous roots, this becomes a conic, CyclicSum( (SB-SC) (SA x (x+y+z) + S y z) = 0. -- ...
20269
Francisco Javier
garciacapitan
Oct 28, 2011 5:16 am
Dear Barry Wolk: Yes, you are right. I misunderstood the statement, since I toke A'' satisfying A'A'' = a, etc,instead of PA''=a, etc, then A'' lying on the...
20270
Forum Geometricorum
ForumGeom@...
Oct 28, 2011 4:07 pm
The following paper has been published in Forum Geometricorum. It can be viewed at http://forumgeom.fau.edu/FG2011volume11/FG201122index.html The editors Forum...
20271
njwildberger
Oct 31, 2011 3:25 am
Dear Geometers, I am compiling an initial work on Triangle Geometry in the Universal Hyperbolic Geometry (UHG) setting and would like to float some ideas on...
