Dear friends, after many efforts, I found a good proof for the inequality IA+IB+IC <= GA+GB+GC (1) based on an interesting property of X(177). Let A'B'C' be...
Dear friends, I have been fascinated by the discovery of the Antikythera Mechanism for some time. I saw yesterday a new release. I hope you enjoy this as much...
Dear Nikos Dergiades, Thank you very much for the nice proof. There is one more question. ABC with centroid G, incenter I, circumcenter O,and Orthocenter H. ...
Dear Shanzhengao, (1) Let D, E, F be the midpoits of BC, CA, AB respectively Consider the triangle AOD. AD < or = AO + AD AD < or = R + R Cos A AG < or =...
Dear friends I want to know if the points (b,c,a) and (c,a,b) have some names in Triangle Geometry. I am also interested with their extraversions and their...
Dear Francois, [FR] I want to know if the points (b,c,a) and (c,a,b) have some names in Triangle Geometry. *** These are the Brocardians of the isotomtic...
Dear Paul It was my lucky day! First, I read the beautiful proof of Nikolaos using X(177). Second, I look at this point in ETC which was related to Yff points...
Thanks, Fred, for your references. I like this adjective "isobarique"! How to translate it in english: isobaric or isobarical ? Note the map (x,y,z) --> (x,...
Here's a note regarding an English version of "isobarique": http://faculty.evansville.edu/ck6/encyclopedia/BicentricPairs.html refers to "isobaryc" in...
François, (a,b,c), and (b, a, c) and (c, a, b) (group 1) as well as (a, c, b) and (c, b, a) and (b, a, c) (group 2) are what I call "permuted points"...
I assume the Brocardian name arises because we first saw examples of these permutations in connection with Brocard's first triangle, although the Jerabek...
Dear Hyacinthians: (this maybe related to recent posts about points (b,c,a), (c,a,b) and bicentric points) I have found this property of Jerabek points,...
This is new to me and greatly appreciated. ... Steve Notation: http://paideiaschool.org/TeacherPages/Steve_Sigur/resources/VoodooPad% 20web/notation.html ...
Dear Luís, Apparently we are allowed to say our thanks online after all. So, ... looking for! I haven't programed in C language for some time, but I have all...
Dear Hyacinthists, Dear Jeff, Well, this is what the intenet and our group are meant for. I would like to mention the brazilian journal Revista do Professor de...
Dear All My Friends, Given triangle ABC and two points P, U with barycentrics: P = (p : q : r), U = (u : v : w). Construct some points: T = Tripole of the line...
Dear All My Friends, General equation of this conic is also not too complicated. It is: F*x^2 + G*y^2 + H*z^2 + P*y*z + Q*z*x + R*x*y = 0 here: F = q^2*w^2 -...
The following paper has been published in Forum Geometricorum. It can be viewed at http://forumgeom.fau.edu/FG2006volume6/FG200636index.html The editors Forum...
ForumGeom
ForumGeom@...
Dec 4, 2006 9:43 pm
14562
Dear Fred and Luís and Friends, I think Sylvain Deshayes program still does the better job of making conics. Sincerely, Jeff...
... I should add that each bisector, including the internal one, will produce a pair of these points. As you change from external to internal bisector, you...
... Yes, there is (b, a, c) should be (b, c, a) Sorry. The idea is that there are two types of permutations, cyclic ones and pair interchanges. ... Yes, but...
Dear Steve Thanks for your answer. Anyway, this configuration is very beautiful! Friendly François [Non-text portions of this message have been removed]...
Dear friends and Dear Nikos Trying to solve some old Thebault problems, I was brought to look at this configuration in the complex plane: We start with the...
Dear All My Friends, As with triangle PUT, perspector of conic C(P,U) wrt triangle PcU,UcP,cPU is also cross point xPU. Conic C(P,U) has another special...
... He has one biographical entry in Kenneth O. May, "Bibliography and Research Manual of the History of Mathematics" (sadly out of print): Jerabek, Vaclav: ...
Ken Pledger
Ken.Pledger@...
Dec 6, 2006 8:40 pm
14570
http://tech.groups.yahoo.com/group/Hyacinthos/?yguid=9253368 -- [Non-text portions of this message have been removed]...
