Dear All We discussed the nine-point conic recently. I have now put up a webpage giving very simple proofs of most of the basic facts using barycentrics. The...
Dear colleagues! Let given the triangle ABC. A1B1C1 is the circumcevian triangle of its centroid, A2, B2, C2 --- the second common points of its circumcircle...
Alexey.A.Zaslavsky
zasl@...
Mar 1, 2006 11:28 am
12202
... its ... circumcircle and ... sidelines ... A1A2, B1B2 ... the ... isotomic ... Dear Alexey, The answer is 22 (the tripolar of the isotomic conjugate of...
... of ... and ... And if this is true we should be able to write: p=N[x22]; q=N[x4]; g[u_,v_,w_]:= (p-u)/Conjugate[p-u] (q-u)/Conjugate[q-u] T[u_,v_,w_]:=...
Please disregard, this does nothing but give the inverse in the circumcircle ______________________________________________ And if this is true we should be...
... I had a long discussion about this with Conway a few years ago. He uses coordinate methods almost all the time, but of course he had to invent many of...
Hola, (hi) to all of you! About synthethic/ analityc methods I just wish to add a teacher´s point of view: I've been teaching the Modern Geometry course for a...
My latest toy is this point, which, with the help of Peter Moses, I have chosen to be the archtypical weak fissile point X1082 a sbc - a Z where Z = 2 r3 S,...
... point of view: I've been teaching the Modern Geometry course for a loooooong time, and as result of the lack of interest in geometry in the pre university...
Dear All, If you are not a busy man so please spend some your valuable minutes to resolve one problem I propose here! I hope you will have fun! Definition:...
Quang Tuan Bui
bqtuan1962@...
Mar 2, 2006 5:46 pm
12211
Hello everyone, I came up with a nice formula that, given a point on a circumconic (perspector P) gives the corresponding point on its dual, the inconic with...
Hello, I have been reading Euclid lately with great pleasure. I am struck by his use of the word translated in English as "incommensurable." I expected to find...
Hello from Atlanta, where Spring has arrived, I spend so much time dealing with general lines through G that I thought I would compile a list of points on this...
Dear friends, Let P be a point in the plane of the triangle with complex coordinates z1,z2,z3. Let Q be the anticomplement of another point M. Then the ...
Hi Steve, Here is another little general transformation .... u1^2 v1 / p1^2 :: takes some point P{p1, p2, p3} on a circumconic with persector U{u1, u2, u3} to...
Dear All, Why nobody discuss about my problem? If you are still not interesting so please take one special case when arbitrary point is on the circumcircle of...
Quang Tuan Bui
bqtuan1962@...
Mar 3, 2006 4:00 am
12218
Dear Quang, I am perplexed at the moment. Three points always define a circle (or in the degenerage case) a line. I ask you what is so special about the...
Dear Jeff Brooks, I'm very happy when you answer me! Please call me Tuan instead Quang! It is normal with Vietnamese name. Please don't perplex yourself,...
Quang Tuan Bui
bqtuan1962@...
Mar 3, 2006 4:35 am
12221
Dear Tuan, After looking at this once again, I am very interested in the problem, but I doubt I'll be able to solve this anytime soon. Sincerely, Jeff ... ...
Dear Jeff, I'm very surprised with this fact until now. When I post the message I think I can do it right after posting but now I also as you, can not solve....
Quang Tuan Bui
bqtuan1962@...
Mar 3, 2006 6:35 am
12223
Hello, trianguloscabri http://www.personal.us.es/rbarroso/trianguloscabri/ arrives at number 300 a problem on the medium ones of Romero Márquez, an article on...
Peter, I figured there were more of these floating around, as I have seen some posted here. Mine satisfies all the predilections of my affine theory and, in a...
Quang Tuan, Do not get anxious about this. We all have our different tasks and will get around to it as we can. I have already sent a partial answer. Steve ......
Well, this is my guess without making a picture. We know that for an orthocentric system, there is one circle (the 9 pt circle) through all the midpoints, so...
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 : /Hagge...
Hyacinthos@yahoogroup...
Mar 3, 2006 4:44 pm
12229
Thank you Dear Steve Sigur, Jeff Brooks and All! I understand you well. I inform you here some my first results about three-point circle. When possible, please...
Quang Tuan Bui
bqtuan1962@...
Mar 3, 2006 5:04 pm
12230
In ETC points 1512 through 1568 are the "orthojoin" of various points This whole section seems irrelevant to anything (most are what I call "lonely points"...
