Dear Bernard and Steve ... through ... I don't think so ... Darboux ... Yes, indeed. These three points are UVW in your Darboux page. many thanks. It is quite...
Dear Bernard ... Of course, you're right - in fact I was thinking to your points UVW - Looking at your nice page about Darboux, I have an obvious explanation ...
Sorry,I mixed up Steiner circumellipse with Steiner inellipse, oops! I read your posts too quickly! That's why I went wrong! Francois [Non-text portions of...
Steve, A minor correction below - perhaps even more interesting! ... [SS}> Wow -- very nice. My pictures support this conjecture. Now proved by Bernard - a...
A correction and some new stuff ... A correction: f1--tf2 does not go though G1 or G2, but f1--O and f2-- O seem to. If G1 and G2 are on the Darboux cubic, its...
Wilson, François, Jean-Pierre, Bernard, Peter, and all, In checking Wilson's statements last night I noticed that there is a point on each axis of the Steiner...
... Yes there is more to this story than we have found (and we have found so much more than I ever thought was there!). G1, G2, O, H are on the Darboux cubic,...
Dear Bernard It looks a nice proof, but I have one problem ... ... in- ... This appears to suggest that P with ctP = G, K have the property that the cevian...
Dear Steve, You may choose not to mention this one again, but I'm hanging onto it while thinking there might be something here. Sincerely, Jeff ... so ... P-- ...
Dear Steve ... found ... the ... We can identify G1, G2 as follows they lie on the Darboux Cubic (as isogonals with line through X(20)) they lie on Bernards...
Dear Wilson, ... you're right. my proof is not precise enough and Thomson is just a (misplaced) coincidence. let us consider a point R and let us seek P such...
Dear All foci fans ... Wonderful results Wilson .. Various lines concerning the Steiner foci ... f +/-, foci of the Steiner Inellipse F +/-, foci of the...
Dear Steve, Of course this is the basis for your geometric theory -- and a very beautiful theory it is. I am interested in learning more about the ancients...
Dear friends, it is known that if ABC is a triangle and P is a point in the plane of ABC not on the sides of ABC then the isogonal conjugate of the circle PBC ...
... I am adding things to this for my benefit. I am adding the new results as well as why we know the statements are true. G+ is taken to be in the same...
... Jeff, The ancients I refer to were 100 year old ancients. I leaned it from the article by Mineur called Anallagmatic Cubics which is translated from French...
... Hello Nakolaos, I wrote an FG article that answered some of these questions a year or so ago. The title was something like "Where are the conjugates?" Your...
Peter has used the gt and tg operations in his post so I want to say a few things about those since they are not so well known. John turned me onto them. He...
Dear Francois, I agree with the pedal triangles of Gi and Cevian triangles of tFi being the same, but I am lost on the inscribed triangles with pivots Gi. Can...
Dear Jeff Here, I explain the situation: For a conic with center, a bitangent circle is called focal circle ( cercle focal in french). Those centered on the...
Dear Nikolaos, Isogonal conjugation (can be generalized) is a 2nd degree transform with 3 singular points A, B, C. It transforms a curve (C) of degree n into a...
The following paper has been published in Forum Geometricorum. It can be viewed at http://forumgeom.fau.edu/FG2006volume6/FG200613index.html The editors Forum...
ForumGeom
ForumGeom@...
Apr 3, 2006 4:19 pm
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Hello all in geometry, I have always found the Tarry point mysterious. It is opposite the Steiner point in the circumcircle and the intersection of the ...
