... isosceles in A. ... circumcenter. ... side AC and ... uniform ... as choo-c ... correspondence ... and B, so ... AB and ... (B', C') ... Is it known that...
... BC. ... Dear "dam_xoan90" and Francois. A simple elementary proof of this problem, has already been post in Mathlinks Forum, one year ago. Please see at:...
Dear Hyacinthos, Let Ca(Oa;Ra) and Cb(Ob;Rb) be the two circles such that OaOb<=Ra+Rb and AB is a segment(AB<=2*OaOb). The point M is one of the intersection...
Hello to all: http://www.personal.us.es/rbarroso/trianguloscabri/index.htm trianguloscabri enters its eighth course with an EXTRA of seven articles, Greetings...
Dear Nikos and Francois, This is an update to an old post: I think I just now found what you guys were describing: Here, Ian Stewart writes "Bourbakism was an...
Hello to all: http://www.personal.us.es/rbarroso/trianguloscabri/index.htm trianguloscabri enters its eighth course with an EXTRA of seven articles, Greetings...
... I quote from http://mathworld.wolfram.com/AffineGeometry.html "An affine geometry is a geometry in which properties are preserved by parallel projection...
Dear Jeff Follow the historic way! Start with our beloved usual plane and forget its metric distance and to begin with, forget orthogonality. Of course, we...
Dear Kostas Yes, I have read this solution very beautiful and elementary. Francisco gave me the link! My solution is more or the less the same with yours for...
Dear friends After all this fuss on similarities, I have some little riddles for GSP and Cabri lovers . 1 Given points A, B, A', B' such that lines AB and...
Dear Hauke I quite don't understand your question about degrees of freedom. Starting with four points A, B, C, D, to get your "diagonal" triangle EFG is a...
The following paper has been published in Forum Geometricorum. It can be viewed at http://forumgeom.fau.edu/FG2007volume7/FG200717index.html The editors Forum...
ForumGeom
ForumGeom@...
Sep 4, 2007 7:22 pm
15491
... You may find this view of it intuitively helpful. Elementary linear algebra (over the real field) is often illustrated by using lines and planes through...
Ken Pledger
Ken.Pledger@...
Sep 4, 2007 11:19 pm
15492
Dear Franois and Hauke, Well, this was the message I sent on Friday (or early Saturday depending on time zone) that I wished not to be posted! :-) My...
Dear Hyacinthists, let me present my problem. ABC a trianglen A'B'C' the orthic triangle of ABC, Y the intersection of AC ans A'C', Z the intersection of AB...
Dear Hyacinthists, I present my problem. ABC a triangle, A'B'C' the orthic triangle of ABC, Y the intersection of AC and A'C', Z the intersection of AB and...
Dear all friend, I have a nice problem and I need your help :-) Let ABC be a triangle and let (I) be its incircle. Denote by A', B', C' the intersections of...
... for GSP and ... a point O ... B', how ... point of f, ... map such ... point of f ... geometries? ... Francisco ... use the ... a same ... configuration ...
Dear, the common point of DA', EB' and FC' is X(178) in the Encyclopedia of Triangle Centers cfr http://faculty.evansville.edu/ck6/encyclopedia/ETC.html Kind...
I have a tough question I'm not able to solve. Thanks to anyone could help. Given a triangle ABC, with side lengths a,b,c , define three functions u(a,b,c),...
... Well, I would say avoid metric when your problem is essentially a topological one :-) Problems of incidency might also fit the bill, but there are points...
... (projective plane), ... triangle in this ... Any. But I don't want *any*! I want ONE certain ABCD (*any* of them is OK :-) - as long it is a *certain*...
Dear Jean-Louis I just look at your interesting configuration. I have not a proof yet , only some ideas. I insert some new points to have some symmetry in the...
Dear Hauke Thanks for the precision. I know what is a bicentric quadrilateraln that is to say a quadrilateral with a circumcircle <Gamma> and an incircle...
Dear Jean-Louis I have a better wording for your theorem for I don't like your using of "inner" bissectors.Why don't you use exterior bissectors indeed? So we...
... quadrilateral ... Poncelet porism ... To find out which special points the circle centers are *with respect to the diagonal triangle*. Neither can I prove...
... And the incidence is therefore present in affine geometry, yes? I was never very good at topology and I'm still struggling with it :-) Friendly, Jeff...
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