Dear Friends, I submitted the my paper Sawayama-Thebault's Theorem to Forum Geometricorum, see hyacinthos message #20244. In response, the anonymous referee...
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...
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...
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:...
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...
20241
alper cay
alpercay2000
Sep 21, 2011 8:50 pm
Thanks Randy. [Non-text portions of this message have been removed]...
20240
Randy Hutson
rhutson2
Sep 21, 2011 4:09 pm
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...
20239
Forum Geometricorum
ForumGeom@...
Sep 21, 2011 3:16 pm
The following paper has been published in Forum Geometricorum. It can be viewed at http://forumgeom.fau.edu/FG2011volume11/FG201119index.html The editors Forum...
20238
alper cay
alpercay2000
Sep 21, 2011 10:41 am
Thank you....
20237
Ignacio Larrosa Ca...
ilarrosa
Sep 21, 2011 8:48 am
... A lot of them. See: http://mathworld.wolfram.com/EulerLine.html Best regards, Ignacio Larrosa Cañestro A Coruña (España) ilarrosa@... ...
20236
alper cay
alpercay2000
Sep 21, 2011 7:44 am
We know that four special points lie on Euler Line.Is there another special points on Euler Line?Thanks....
20235
Bernard Gibert
bernardgibert
Sep 16, 2011 7:57 am
Dear Luis G, ... The circle above is centered at the reflection of X110 about X156, a point unlisted in Clark's ETC. Best regards Bernard [Non-text portions of...
20234
Ignacio Larrosa Ca...
ilarrosa
Sep 15, 2011 4:15 pm
Dear Luis, Thank you very much for your interesting answer. When you have shows, I would like to know. Best regards, Ignacio Larrosa Cañestro A Coruña...
20233
Luis G
luisgeometria
Sep 14, 2011 6:33 pm
... Dear Ignacio, according to my dynamic sketch, I confirm that the locus of the circumcenter of A'B'C' is indeed a Pascal Limacon, whose double point...
20231
Forum Geometricorum
ForumGeom@...
Sep 14, 2011 3:15 pm
The following paper has been published in Forum Geometricorum. It can be viewed at http://forumgeom.fau.edu/FG2011volume11/FG201118index.html The editors Forum...
20230
AHP
amir_ahp_2009
Sep 12, 2011 10:54 am
Hello, I uploaded all 9 volumes of Forum Geometricorum a while ago. You can see the folder here:...
20229
Ignacio Larrosa Ca...
ilarrosa
Sep 10, 2011 11:10 am
... Dear Hyacinthists, What is the locus of the circumcenter of the triangle {A ', B', C '} determined by the symmetrical lines of the tangent at P, where P...
20228
Forum Geometricorum
ForumGeom@...
Sep 9, 2011 6:49 pm
The following paper has been published in Forum Geometricorum. It can be viewed at http://forumgeom.fau.edu/FG2011volume11/FG201117index.html The editors Forum...
20227
Francisco Javier
garciacapitan
Sep 9, 2011 2:49 pm
Any circle through M and its inverse will be orthogonal to C....
20226
Kafka Catalin
kafka_mate
Sep 9, 2011 2:36 pm
Dear Hyacinthists, Let be M a interior point in a circle C. To be constructed the orthogonal circle of C circle, passing through M point. Best regards, ...
20225
Francisco Javier
garciacapitan
Sep 9, 2011 5:03 am
Yes, it is not currently in ETC. Its search number is -6.61132173....
20224
Jean-Louis Ayme
jeanlouisayme
Sep 9, 2011 4:35 am
Dear Francisco, thank for your reply... What is the result when M is F+ or F-? Do we have a naw center?  Sincerely Jean-Louis De : Francisco Javier...
20223
Yahya Abdal-Aziz
yahya_melb
Sep 9, 2011 2:41 am
Brozolo wrote: Ceva's theorem states that is A', B', C' are points on sidelines BC, CA, AB of triangle ABC then AA', BB', CC' concur if and only if AC'/ C'B *...
20222
Francisco Javier
garciacapitan
Sep 8, 2011 3:48 pm
Errors and omissions accepted, I get a long answer (T stands for 2*sqrt(3) times the area of the triangle): {-a^12 - 4 a^10 b^2 + 19 a^8 b^4 - 25 a^6 b^6 + 16...
20221
Jean-Louis Ayme
jeanlouisayme
Sep 8, 2011 3:14 pm
Dear Francisco, thank for your reply... What is the result when M and N are F+ and F-? Sincerely Jean-Louis De : Francisco Javier <garciacapitan@...> ...
20220
Francisco Javier
garciacapitan
Sep 8, 2011 2:41 pm
In the case of antipedal triangle, when M=O (circumcenter), the perspector S of A"B"C" and PQR is X399. The formula for S when M=(u:v:w) is very long, and it...
20219
Jean-Louis Ayme
jeanlouisayme
Sep 8, 2011 1:45 pm
Dear Hyacinthists, sorry, my last message wasn't readly... 1. ABC a triangle, 2. A’B’C’ the medial triangle of ABC 3. M and N two antigonal points wrt...
20218
Forum Geometricorum
ForumGeom@...
Sep 6, 2011 8:20 pm
The following paper has been published in Forum Geometricorum. It can be viewed at http://forumgeom.fau.edu/FG2011volume11/FG201116index.html The editors Forum...
20217
brozolo
Sep 4, 2011 4:33 pm
Ceva's theorem states that is A', B', C' are points on sidelines BC, CA, AB of triangle ABC then AA', BB', CC' concur if and only if AC'/ C'B * BA'/A'C...
20216
Jean-Louis Ayme
jeanlouisayme
Sep 1, 2011 10:54 am
Dear Hyacinthists, an article concerning some interesting  results about “’Du cercle des huit points au cercle des six pieds or the theorem on the six...
