Dear Jean-Pierre, ... Euler has written 2 long papers on this problem: [729] Dilucidationes super problemate geometrico de quadrisectione, M\'emoires de...
Dear Yagci, ... On the other hand, if we consider a right isosceles triangle ABC with A=45, B=45, and C=90. There is an interior point P such that PAB = 15,...
Dear Paul ... D' ... duas ... 333. ... Many thanks, Paul, for these references. In fact, there is a natural way to proceed (I don't know how Euler has solved...
dear Paul, i think you missed a word while reading... i have written that 'these six angle measurements are not equal and all of them are integer... ... with...
Dear Paul, Yagci and all, If x, y, z are the angles PAB, PCB, PBC to divide an equilateral triangle with different angles there are the following 6 cases y...
6004
RICARDO BARROSO CAMPOS
rbarroso@...
Oct 25, 2002 8:22 pm
Friends of Hyacinthos: In http://www.pdipas.us.es/r/rbarroso/Pruebas/dou1140.pdf Is the solve to Circle of Dou, CRUX MATHEMATICORUM NOVEMBER 2002 . The teacher...
... dear Nikos, i wanted to mean that there have no other six angles that satisfy the relation, then i know there are 6 cases for it... sorry for my ...
Dear Paul, [ND] ... [PY] ... triangles recently ... ******** If you mean the 53 Langley's type triangles NO it is an example made now by the computer and there...
Dear Jean-Pierre, this problem is Leibniz's problem and leads to an equation of eighth degree. F.G-M 1624a If a point D is on the side AB then we can...
... the ... the ... a ... FCD ... here is my synthetic solution for CASE 2: for a point D outside the triangle ABC, draw an equilateral triangle PDC that makes...
it's easy but i have a question about this theme... if a line seperates the triangle ABC into two parts that have equal areas and equal perimeters, then show...
Dear Nikolaos ... Many thanks for the reference. What is very STRANGE is the fact that in Rouche et Comberousse : Traite de Geometrie - Gabay reprint -, I see ...
ABC is a triangle A-bisector intersects BC at D B-bisector intersects AC at E C-bisector intersects AB at F if m(FDE)=90 then what is m(BAC)? MUSTAFA YAGCI...
6013
RICARDO BARROSO CAMPOS
rbarroso@...
Oct 26, 2002 10:59 am
Dear friends of Hyacinthos Is m(BAC)= 120 In http://www.pdipas.us.es/r/rbarroso/trianguloscabri/problema9.htm in its alternative vision, The problem is...
Hi all, -- On Fri, 25 Oct 2002 23:16:31 yagcimustafa wrote: it's easy but i have a question about this theme... if a line seperates the triangle ABC into two...
Dear Yadci, ... m(BAP)=18,m(PAC)=42,m(PCA)=54,m(PCB)=6,m(PBC)=12,m(PBA)=48 ... triangle ... we have the ... Also for a ... triangle BAE ... we can ... see that...
... ABC... ... I found a simple equation connecting these six angles, which holds for a general triangle (not necessarily equilateral). I used x=IAP, y=IBP,...
... OK, LET ME EXPLAÝN: since EADFK is a proper pentagon, |AD|=|DF|... since PDF is an equilateral triangle, |DF|=|PD|... so |AD|=|DF|=|PD|, namely |AD|=|PD|,...
Could you please give a synthetic proof for the ... DEAR NIKOS, for a point K on [AE],draw a [DK] as parallel to [BC]... for a point F outside the triangle...
Dear Hyacinthists, here is a problem : construct a convex quadrilateral Ab,Bc,Ac,Ca such as - Ab lies on [AB], Bc lies on [BC], Ac and Ca lie on [AC] - the...
Dear Ricardo , [Mustafa] ABC is a triangle A-bisector intersects BC at D B-bisector intersects AC at E C-bisector intersects AB at F if m(FDE)=90 then what is...
6021
ForumGeom
ForumGeom@...
Oct 28, 2002 4:54 pm
The following paper has been published in Forum Geometricorum. It can be viewed at http://forumgeom.fau.edu/FG2002volume2/FG200215index.html The Editors Forum...
6022
RICARDO BARROSO CAMPOS
rbarroso@...
Oct 29, 2002 2:18 pm
Dear Hyacinthos, Nik and Mustafa: In my message, 6013, said: it is an alternative vision. so and as it indicates Nik in effect, in ...
... dear nikos, could you please explain where the point P is... i sent you a private mail to your email address but i think you couldn't get it... isn't your...
Dear Moustafa, you wrote: dear nikos, could you please explain where the point P is... Sorry, it is false instead of P I mean D: Hence the correct solution to...
Dear Hyacinthians, Is it true that there exists *at most* one triangle with given elements a, t_b, t_c (the last two are angle bisectors)? If yes, how can we...
Dear friends, GaGbGc is the antimedial triangle, A',B',C' are the reflections of A / BC, etc. for any point M, Ca is the conic through B, C, A', Ga, M, Cb, Cc...
Dear friends, ... after rereading that, I feel it is not very clear : I just wanted to say that the 3 conics have 3 points in common (one of them being M) iff...
