Dear Jeff Do you remember the name of a man who thought that choo-choos were not needed when horses were enough for uniform motions. I remind you what he told...
Dans le triangle (ABC) les droites du triangle médial rencontrent celles du triangle excentral en 6 points cocycliques, ces points étant les proxiamaux des...
Dear Michel ... excentral ... A, ... If I well understand, you mean that the non-corresponding sidelines of the medial and excentral triangles meet at 6 points...
Dear Michel and Francois [FR] ... [MG] ... excentral ... A, ... In fact, as Francois noticed, these points are the orthogonal projections of the vertices upon...
... Pour moi, le terme 'proximal' est mis à la place de 'projeté orthogonal'pour désigner le point d'un ensemble donné le plus proche du point donné Bonne...
Dear Jean-Pierre Of course, it could be interesting to see for which pairs (P,Q) the conic above is a circle but it doesn't seem so easy. I think that, if p is...
Dear Michel and Hyacinthis, I nice article written by Gilles Boutte can be seen on his web site Google : Gilles Boutte , "Sur quelques propriétés des...
Dear friends, Let P be an arbitrary point on the side BC of a triangle. Consider (T1), (T2) the Thebault circles of the cevian AP. (This means that (T1) is...
Dear Hyacinthists, In a german book I read (no figure) the solution to this problem. But I wasn't able to follow it. It finishes up with "Die Konstruktion...
Dear Cosmin this confguration has a lot of properties. I'll add some of them. ... known. The radical axis of (T1), (T2) goes through the midpoint of IP too. ...
Dear Hyacinthists, Both <b+c,h_a,m_a> and <b-c,h_a,m_a> are solved. Now I am trying to solve <b+c,h_b,m_c> and <b-c,h_b,m_c> .They seem easier than the former...
Dear Luis, Let D be the reflection of A in the midpoint M of BC and let E be the reflection of D in BC. Then we can start with drawing AD = 2.m_a; then,...
Dear Hyacinthists A'B'C' is the cevian triangle of the Nagel point. Consider the six corresponding Thébault circles (the circles touching A'A, A'B and the...
Dear Jean-Pierre, Indeed, the Nagel point case is interesting and might have a full synthetic solution: 1) follows from your nice construction, since it is...
Dear Luis, indeed, this one is easier. If M is the midpoint of AB and P is the projection of M on BC, then MP=h_b/2 and we can construct triangle CMP. Then...
Dear Hyacinthists A'B'C' is the cevian triangle of the Nagel point. Consider the six corresponding Thébault circles (the circles touching A'A, A'B and the...
Dear friends, if we read http://faculty.evansville.edu/ck6/encyclopedia/ETC.html#X1123 about the Paasche point and we construct three circles D, E, F instead...
Dear Jean-Pierre I just draw your configuration with Cabri. Very nice indeed! Is there some link with 3 instances of the Thebault-Sawayama configuration? ...
... Part 1 is true por any number n of circles. If n is even we consider Ea, Eb, Ec the contact points of circles at the middle. The perspector of AEa, AEb,...
The following paper has been published in Forum Geometricorum. It can be viewed at http://forumgeom.fau.edu/FG2008volume8/FG200801index.html The editors Forum...
ForumGeom
ForumGeom@...
Jan 7, 2008 1:43 pm
15991
Dear Cosmin ... coincides with ... the ... derive ... A, ... tangent ... Hence, ... That's exactly the way i've found this configuration. ... Thebault ... are ...
Dear Hyacinthists I've uploaded in Hyacinthos files - a figure "thebault cevian" showing the general case of the six Thebault circles associated to the cevian...
Dear Hyacinthists, Dear Vladimir, Thank you for your replies. Your construction is easier than mine. I was able to finish it by using your observation about...
... prove ... it ... cevian ... homothety, ... the ... circles ... Y1Y2, ... privately). ... A'B'C' ... of ... IB', ... lie ... circle ... with ... I wrote ......
Dear Cosmin and other Hyacinthists I forgot to write that (O) and (O') are inverse of each other wrt the circle with center T going through I, which is clear...
Dear friends The posts on Mathlinks http://www.mathlinks.ro/Forum/viewtopic.php?t=114669 http://www.mathlinks.ro/Forum/viewtopic.php?t=113381 are related to...
