Dear Jean-Pierre, Thank you very much. ... ********* These points are found by drawing from N parallells to the bisectors of Morley's triangle. ... ******** ...
Dear Nikolaos the locus of the common points of two Simson lines with a given angle touch the Steiner deltoid at six real points (and at the circular points at...
Dear Jean-Pierre, ... Wonderful figure! I didn't thought to sketch the Steiner deltoid. I think this locus must be called anadeltoid. If A1,B1,C1 are the...
Dear Nikolaos [JPE] ... [ND] ... You are right. I didn't notice that, in any case, the 6 points lie on the same circle centered at N and, of course, I agree...
First Announcement University of Bucharest and Transilvania University of Brasov invite you to attend the conference Riemannian Geometry and Applications ...
Dear Nikolaos and Francois Consider the following facts : 1) if M,M' are the projections of O (or any other point) upon two parallel lines with respective...
Dear Hyacinthists, Dear Nikolaos, Thank you for your reply. With it I was able to prove the relation in the german book. Recalling the problem, I want to...
Dear All My Friends, Happy New Year to you all and thank you very much for the nice messages about this nice locus! I am very happy to read your messages. I...
Dear Tuan, I want to wish you a Very Happy New Year and offer my thanks for your message here as well! I am absolutely astounded by the incredible variety of...
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 : /Line IO in...
Hyacinthos@yahoogroup...
Jan 4, 2007 11:09 pm
14688
Dear friends, What is the proper name for a triangle inversely similar to a given pedal triangle? Sincerely, Jeff...
Dear Jeff, I don't know the name of your triangle but it is not anti pedal. Please refer: http://mathworld.wolfram.com/AntipedalTriangle.html Best regards, Bui...
Dear Tuan, Yes, I realize this now. I found the definitions in TCCT. But, I really need a good name for this triangle since it has so very much to do with...
Dear Jeff ... I don't think that such a triangle has a special name but such a triangle is directly similar to the pedal triangle of the inverse in the...
Happy new year to all geometers! Problem: An ellipse intersect the sides of the triangle ABC in points A1,A2,B1,B2,C1,C2 (A1,A2 lies on the line BC, B1,B2 lies...
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 : /concurent...
Hyacinthos@yahoogroup...
Jan 5, 2007 11:46 am
14696
As we can supposse, and check with barycentric coordinates, the result is true for a general conic. Best regards, and Happy new year to all hyacinthians! ... ...
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Friday, January 05, 2007 1:15 PM [GMT+1=CET], ... I suppose you have observed that the six points A3, B3, C3, A4, B4 and C4 are 'conconics'. ... Also my best...
Dear All My Friends, The Steiner deltoid is a very interesting geometry object and the objects based on it can generate also strange geometry facts. Another...
Dear Quang Tuan Bui in order to generalize the Steiner deltoid, we can look at the locus of the orthopoles of the lines tangent to a given circle with center...
Dear Petrisor and Ignacio, ... This seems to be not true from some calculations and Cabri figure, Now, for the sake of completness, if A8=B1C1 intersection...
Does anyone know any interesting properties of the cevians through the circumcentre? Specifically, I investigated (without success) if the points at which they...
Dear Friend (you still not inform us your name), As I know, there are a lot of interesting facts related Cevians through the circumcenter and we can not list...
... the ... interesting ... One well know property of the cevian from A through O is that is isogonal of the altitude from A. This means that angles BAHa(Ha...
Respected Hyacinthists! Respected Jean-Pierre! Article's Jean-Pierre in Forum Geometricorum(Volume6,2006) and messages 14503,14505,14506,14507,14520 in...
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