Dear Jeff Sorry, Cte means "constant". So you look at events (m,t(0)) in H where t(0) is some fixed time that I have named "Cte" in my previous post.. As H is...
Dear Petrisor, since the quadrilateral ABPaC has equal product of opposite sides your problem can be generalized as follows: Instead of K we have an arbitrary...
Dear Tuan, Ricardo, Kostas, Tarik, Francois and Nikolaos Somehow I missed some posts and found another solution to Tuan's question. It seems to be shorter, so...
Dear All My Friends, Thank you very much for your interesting proofs and remarks. Thanks to Ricardo Barroso! Please inform us from where you have got this...
Dear All My Friends, Sorry for one typo mistake: The second concyclic set should be read truly as: D, D', E, E' Best regards, Bui Quang Tuan Quang Tuan Bui...
Dear friends Here another construction of point P, (another, I hope for I don't read very carefully other posts!) 1° I construct the circle Gamma on A and B,...
Dear all my friends: The problem angles is from Mathematical Excalibur Vol 7 nº 3, problem 158 http://www.math.ust.hk/excalibur/v7_n3.pdf Best regard Ricardo ...
Dear All My Friends, Francois' house is friendly not only for his friends, it is friendly for also ducks. The window of his house is very open and especial for...
Dear all my friends, i have downloaded all the vollumes of math. Excalibour and it is really a great math resource! Can u please send me some other links of...
Dear Tarik: In http://members.tripod.com/%7EPertselV/RusMath.html http://www.komal.hu/info/bemutatkozas.e.shtml there are many problems.. Ricardo ... De:...
Dear Jeff You know! This theory is an affine one, so there are plenty of special cases where the "main points" of the theory such that the "Neuberg equicenter...
Of course, yes! Sorry for mistaking a key on the keyboard, now I am feeling suddenly very old! Friendly Francois ... [Non-text portions of this message have...
I think one part of the locus is the diagonal BD? The other part must be some hyperbola with asymptots the axis of the rectangle. Friendly Francois Thanks for...
Dear Francois, Thank you very much for your remark. In fact this interesting hyperbola locus was not found by me. Now your ducks can easy flight across your...
Anh Tuan oi In fact in these area problems, one often forgets to use signed area, that's why you missed the hyperbola. Thank you for you taking care of my...
Dear Tarik Adnan, I just have got some other links here after Internet searching. Please try yourself and inform us if any interesting! Best regards, Bui Quang...
Anh Tuan oi Here some more precisions on your configuration: 1° When E is on the diagonal BD, the affine map f sending triangle AAbAd on triangle CCbCd is the...
Dear all my friends, thank u all for your help...Though a am a novice problem solver(i am a 9th grader nd started to try imo level problems just 1year ago) i...
Anh Tuan oi I just correct a little typo in my previous post ... Eigen values of g are just opposite: -2 - sqrt(3) and -2 + sqrt(3) with product 1, so signed...
Dear Francois anf Jeff [Francois] ... where the ... the "areal ... the line ... between ... neither on the ... long long ... wrt the 3 ... with foci E ... ...
Dear Jean-Pierre I don't agree. Your remark is very interesting for my sole idea in this theory is to apply linear algebra to do geometry that is to say to do ...
Dear Francois ... this ... do ... in order ... a post! I suggest the following (I'm sure that you have a better one) : Take any point a(1) on the line BC;...
Let O be the center of a circle.Let OU,OV be perpendicular radii of the circle.The chord PQ passes through the midpoint M of UV.Let W be a point such that...
Dear Francois, No, I honestly do not know. But that's ok, I am always learning and relearning a bunch of stuff. Thank you once again, Sincerely, Jeff OFF...
Neat, this looks really succinct! [JPE] Just a little idea : If we suppose that the constant area is not 0 and if we take a(0)b (0),a(0)c(0) as basis of the...
... Thanks, I too am waiting for the Triangle Book which I hope we will give to the publishers this summer. Both John and I have health issues however. John...
Sorry, This is the same as eigenvector. "These entities have many far- reaching applications in science and mathematics." A quote from my Linear Algebra book....
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