Let ABC be a triangle. Draw a cevian AD so that: the intouch (antitangential) triangles of the triangles ADB, ADC be in perspective. That is: A /\ / \ / \ ...
Dear Hyacinthos In triangle (ABC), point M= [m:n:p] has for cevian triangle (PQR), with P =[0:n:p], Q = [m:0:p], R=[m:n:0] Parallel line through P to (AC) cuts...
Dear friends, the circumconics S_B yz + S_C zx + S_A xy = 0, S_C yz + S_A zx + S_B xy = 0 meet again at the Tarry point. These circumconics appear a locus. You...
Dear friends, Let P be a point in plane with circumcevian triangle A'B'C' with respect to a triangle ABC. Let s(A'), s(B'), s(C') be the Simson lines of points...
Dear Hyacinthists, let ABC be a triangle, I the incenter, 1 the circumcircle, O the circumcenter, A' the second intersection point of AI and 1, A" the...
Dear friends I think one can generalize the results of Paris Pamphilos in his beautifil paper D(3) actions on a triangle in this way: Let <Gamma> be a circle...
Dear Hyacinthians, the perpendiculars to the angular bisectors through the corresponding excenters form a triangle A*B*C* perspective with ABC The perspector...
Dear Paris and dear friends I read again your beautiful paper on the D(3) action on a triangle. Of course, I knew already most of this topic but I see now you...
Dear Hyacinthos In a file in French (nouveau point de vue), I propose a new point of view about some topics of elementary geometry In particular, I explain my...
Dear Hyacinthists, a proof of this result has been published on my website http://perso.orange.fr/jl.ayme clik on "contenu" then "volume 3" Sincerely ...
Dear friends As I see some of you like affine geometry, I give you some affine riddles to find when day dreaming during spring time. So we start with your...
Dear Nikolaos and Hyacinthists, a synthetical proof can be obtain by using the circles of Huseyin Demir in the particular case when the lines are parallels. I...
I have a (may be silly) question! Please anwser me! Thanks everybody! Let A'B'C' be the cevian triangle of incenter of triangle ABC. Let A" be the symmetry...
Thanks to Javier Garcia Capitán for his observations to the problems that I have raised, and also to Pavan Naidu, for his observations. Forgive the correct...
Dear Friends: in A Triángle ABC, P is on AC,C1: circle inscript in ABC y C2: circle inscript in BPC. The straight line parallel to AC and tangent to the...
Dear Nikos: I send my solution euclidea of 456 Greetings Ricardo ... De: Nikolaos Dergiades <ndergiades@...> Para: Hyacinthos@yahoogroups.com Enviado:...
Can somebody please translate this into English? Cuando sobre los lados de un triángulo se construyen cuadrados de lados de igual longitud que los lados del...
Dear friends: Given the knowledge that I have the esteem they had Juan Carlos, shareregret that my husband died the day 31-03-08 in South Africa, hisremains...
Dear friends, I would like to dedicate the following (new?) result to the memory of Juan Carlos Salazar. Though I didn't personally know him, I express my ...
Dear Ricardo, a very sad new to day... I was in contact with Juan Carlos for one of my article and he told me that he was working in Mozambique... I give You...
Hello Hyacinthists, Here is a problem: In a triangle ABC,E and F are points on BC such that AE and AF are the trisectors of BAC.BB' is a median. O is the...
Dear Floor and Hyacinthists, a new purely proof has being put on my website: volume (2008) Le cercle de van Lamoen http://perso.orange.fr/jl.ayme Sincerely ...
Dear all, Please try your hand on the following problem: In a triangle ABC,E and F are points on BC such that AE and AF are the trisectors of BAC.BB' is a...
Dear Hyacintos I join to this message a file with the calculus and a drawing Giving a ideal point[-n-p:n:p], you draw a line from A cutting (BC) in M = [0:n:p]...
Dear friends I ask you here a question of terminology. In the euclidian plane, we have 2 pairs of points (A, B) and (A', B'). For the sake of simplicity, I...
Dear friends, While reviewing some old notes of mine on mixtilinear incircles, I ran through the following result: Let M be an arbitrary point on the...
