Dear all, Please try your hand on the following problem: In a triangle ABC,E and F are points on BC such that AE and AF are the trisectors of BAC.BB' is a...
Dear Jean-Louis, dear Floor and dear friends Very nice proof, Jean-Louis, written in your inimitable style! As I cannot sleep, I ask myself if something can...
Hello Hyacinthists, Here is a problem: In a triangle ABC,E and F are points on BC such that AE and AF are the trisectors of BAC.BB' is a median. O is the...
... This ratio isn't constant. It is zero if the triangle is isosceles with AC as inequal side, and greater than zero in another case. Best regards, Ignacio...
Dear Ricardo, a very sad new to day... I was in contact with Juan Carlos for one of my article and he told me that he was working in Mozambique... I give You...
I am deeply sorry to hear that Juan passed away. I had some wonderful opportunities to correspond with him about some geometric topics. May he rest in peace! ...
Dear friends, I would like to dedicate the following (new?) result to the memory of Juan Carlos Salazar. Though I didn't personally know him, I express my ...
Dear Francois and Nikos, Thank you for your interest. @ Nikos: I had the same idea of using Carnot, but I got stuck in those computations. I really wasn't...
Can't we express the ratio in terms few known quantities? Its true that the ratio under mentioned conditions is 0. I wanted to know,if possible, a elegant...
Dear friends: Given the knowledge that I have the esteem they had Juan Carlos, shareregret that my husband died the day 31-03-08 in South Africa, hisremains...
Dear Ricardo, you sent sad news and in memoriam of Juan Carlos Salazar you edited the folowing problem: Problema 456 En el triángulo ABC, D es un punto...
Dear Francois, dear Jean-Louis, dear Floor and dear friends In a joined file (cercle de Van Lamoen), I have calculate the barycentrics coordinates of the 6...
The following paper has been published in Forum Geometricorum. It can be viewed at http://forumgeom.fau.edu/FG2008volume8/FG200809index.html The editors Forum...
ForumGeom
ForumGeom@...
Apr 7, 2008 4:11 pm
16255
Can somebody please translate this into English? Cuando sobre los lados de un tringulo se construyen cuadrados de lados de igual longitud que los lados del...
Dear Michel ... I don't think that the nature of your conic depends only of the position of P wrt the triangle ABC but of the position of P wrt the sidelines...
Dear Jean-Pierre Thank you answering my third question. What about the first and the second? I think there is only the centroid with an associated circle but I...
Dear Nikos: I send my solution euclidea of 456 Greetings Ricardo ... De: Nikolaos Dergiades <ndergiades@...> Para: Hyacinthos@yahoogroups.com Enviado:...
Dear Francois, About your first question, please see: http://forumgeom.fau.edu/FG2005volume5/FG200516index.html. <Gamma> is a circle if and only if P is the...
Dear Francois ... conic ... Pascal is better : U,V,W,U',V',W' are respectively the circumcenters of PBA', PCB', PAC', PBC', PCA', PAB'. The lines UV' and WW'...
Dear Friends: in A Tringle ABC, P is on AC,C1: circle inscript in ABC y C2: circle inscript in BPC. The straight line parallel to AC and tangent to the...
Dear Jean-Pierre Thank you for your proof. I was too short-sighted to see a Pascal line far away at infinity! Friendly Francois [Non-text portions of this...
Dear Cosmin! I haven't synthetic proof of this fact, but I found the trilinear coordinates of your perspector: (1+2sin(a/2)cos(b/2)cos(C/2),...). Sincerely...
Alexey.A.Zaslavsky
zasl@...
Apr 9, 2008 2:19 pm
16266
Dear Ricardo, Your solution is not readable. Please try again. Faithfully, Fotos.- ... <CBD=70º,<ACD= 20º <BCD=40º Probar que AD es perpendicular a BC. ... ...
Dear Friends, tomorrow, in http://www.personal.us.es/rbarroso/trianguloscabri/ all solutions of two problems of tribute of Juan Carlos Salazar greetings ...
Dear Alexey, Thank you very much for your interest. Via private mail, Peter Moses has also computed the trillinears in terms of the sidelengths of ABC: "[PM]:...
Thanks to Javier Garcia Capitn for his observations to the problems that I have raised, and also to Pavan Naidu, for his observations. Forgive the correct...
