Dear Hyacinthists, Maybe this could help. But I wasn't able to follow it. Please notice that a simple translation to English is not enough. I wonder there...
Dear Hyacinthists, I repeat my text, because there are missed parts. Lösung. Macht man mittelst eines Kreises um A mit dem Radius = b auf der Verlängerung...
Dear Giovanni, You wrote: if someone is interested, they can be found at www.polarprof.org/geometriagon I am an unidentified user at present. Can I write...
... Yes you can. There are two fields where you can write your comments, but you can also add comments inside the figure, as there is a text tool: for example,...
Dear Giovanni your problem #1147 : draw a rectangular hyperbola touching 4 given lines. The centers of the rectangular hyperbolae inscribed in a complete ...
Dear Jean-Pierre, your solutions are always surprising for me. I'm convinced that you could easily solve all the problems of Geometriagon, so I think they...
Let ABC be a triangle, P = (x : y : z ) a point, A'B'C' the triangle with A' = (-x : y : z ) B' = (x : -y : z ) C' = (x : y : -z ) and A*B*C* the triangle...
Dear Antreas, I get the following: - The orthic axis, - The circumhyperbola through the centroid G and the symmedian point K. This hyperbola is centered at...
The equation of the cubic is c^2 x y^2 a^4+b^2 x z^2 a^4-b^2 y z^2 a^4+c^2 y z^2 a^4-c^2 x^2 y a^4- b^2 x^2 z a^4+b^2 y^2 z a^4-c^2 y^2 z a^4-c^4 x y^2 a^2-b^4...
... Dear Francisco Thanks! Probably is also interesting the locus of the perspectors. The triangle A*B*C* is homothetic to orthic triangle of ABC (cevian [and...
The solution of your generalization for the cevian triangle of Q is very similiar to that the particular case of H. We get - The polar trilineal of Q, - A...
The following paper has been published in Forum Geometricorum. It can be viewed at http://forumgeom.fau.edu/FG2008volume8/FG200819index.html ...
ForumGeom
ForumGeom@...
Aug 8, 2008 2:37 pm
16638
Dear friends, I've recently read the cut-the-knot topic from http://www.cut-the-knot.org/Curriculum/Geometry/CyclicIncenters.shtml#Ref1 and found out that the...
Dear Cosmin Are you sure of your generalization? I begin with ABCD as a square and it does not work! Friendly Francois On Sun, Aug 10, 2008 at 3:34 PM, Cosmin...
... Dear Francois, I apologize for my silly mistake. It seems that my sketch tricked me (the positions I considered were showing that the statement is true). ...
Dear Cosmin I have some problems to look at cut-the-knot! Starting with a circumscriptible ABCD and its diagonal AC and BD meeting at P, we have 4 triangles...
... and areal ... construction rather ... some ... find a ... send a ... Dear Francois, many thanks for your suggestions. It will take me long time to master...
The following paper has been published in Forum Geometricorum. It can be viewed at http://forumgeom.fau.edu/FG2008volume8/FG200820index.html The editors Forum...
ForumGeom
ForumGeom@...
Aug 15, 2008 5:56 pm
16644
Dear Giovanni I have some difficulties to download the figures in your problems. Waiting time is too long. Why? It did not happen with my old computer! But I...
... resp. ... Dear Friends, I've got a gut feeling that somehow we can use Francois' choo-choo theory to shed new light on this problem. Sincerely, Jeff...
... Maybe there is no Java Virtual Machine installed, as it doesn't come with a fresh operating system. I will be very grateful for any corrections to the...
Dear Giovanni I am hopeless in computers but as I am able to look at applets on another web sites, I suppose that I have what you call a Java virtual machine. ...
Dear Jeff I don't think so for choo-choos is an affine theory beforehand. But in Antreas configuration, I can see the usual "3 similar figures" scheme with A,...
Dear Francois, How do you define the "associated points" A', B' and C'? I could possibly misunderstand 'associated point' if I search this in the archive (for...
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