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...
15995
jpehrmfr
Jan 7, 2008 9:10 pm
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...
15994
jpehrmfr
Jan 7, 2008 9:10 pm
... prove ... it ... cevian ... homothety, ... the ... circles ... Y1Y2, ... privately). ... A'B'C' ... of ... IB', ... lie ... circle ... with ... I wrote ......
15993
Luís Lopes
qedtexte
Jan 7, 2008 9:10 pm
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...
15992
jpehrmfr
Jan 7, 2008 3:30 pm
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...
15991
jpehrmfr
Jan 7, 2008 2:34 pm
Dear Cosmin ... coincides with ... the ... derive ... A, ... tangent ... Hence, ... That's exactly the way i've found this configuration. ... Thebault ... are ...
15990
ForumGeom
ForumGeom@...
Jan 7, 2008 1:43 pm
The following paper has been published in Forum Geometricorum. It can be viewed at http://forumgeom.fau.edu/FG2008volume8/FG200801index.html The editors Forum...
15989
garciacapitan
Jan 6, 2008 11:20 pm
... 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,...
15988
Francois Rideau
francoisrideau
Jan 6, 2008 7:26 pm
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? ...
15987
garciacapitan
Jan 6, 2008 4:34 pm
... the ... well)....
15986
garciacapitan
Jan 6, 2008 3:54 pm
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...
15985
jpehrmfr
Jan 6, 2008 3:54 pm
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...
15984
Vladimir Dubrovsky
vladubr
Jan 6, 2008 1:28 pm
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...
15983
Cosmin Pohoata
pohoata_cosm...
Jan 6, 2008 1:18 pm
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...
15982
jpehrmfr
Jan 6, 2008 12:46 pm
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...
15981
Vladimir Dubrovsky
vladubr
Jan 5, 2008 2:00 pm
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,...
15980
Luís Lopes
qedtexte
Jan 5, 2008 12:40 pm
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...
15979
jpehrmfr
Jan 5, 2008 12:40 pm
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. ...
15978
Luís Lopes
qedtexte
Jan 4, 2008 6:49 pm
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...
15977
Cosmin Pohoata
pohoata_cosm...
Jan 4, 2008 11:53 am
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...
15976
Jean-Louis Ayme
jeanlouisayme
Jan 3, 2008 12:42 pm
Dear Hyacinthists, a proof of the five first proposition of the Message 8743 from Darij grinberg has been published on my web site ...
15975
Jean-Louis Ayme
jeanlouisayme
Jan 3, 2008 12:42 pm
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...
15974
Francois Rideau
francoisrideau
Jan 1, 2008 10:21 pm
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...
15973
michgarl
Jan 1, 2008 6:04 pm
... 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...
15972
jpehrmfr
Jan 1, 2008 4:31 pm
Dear Michel and Francois [FR] ... [MG] ... excentral ... A, ... In fact, as Francois noticed, these points are the orthogonal projections of the vertices upon...
15971
Francois Rideau
francoisrideau
Jan 1, 2008 4:11 pm
Maybe for it is the Taylor circle of the excentral triangle? Francois ... [Non-text portions of this message have been removed]...
15970
jpehrmfr
Jan 1, 2008 3:53 pm
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...
15969
Francois Rideau
francoisrideau
Jan 1, 2008 3:52 pm
Dear friend Can you remind me what do you mean by "proximal";? Happy New Year Francois ... [Non-text portions of this message have been removed]...
15968
michgarl
Jan 1, 2008 2:05 pm
Dans le triangle (ABC) les droites du triangle médial rencontrent celles du triangle excentral en 6 points cocycliques, ces points étant les proxiamaux des...
15967
Francois Rideau
francoisrideau
Jan 1, 2008 2:04 pm
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...
