[/quote]
,
such that 
coprime, 
and 
.
be an acute-angled triangle and 
,
be the feet of the altitudes from 
,
,
,
,
,
respectively, lying outside of ![\[\frac{A_1A_2}{AA_1} = \frac{B_1B_2}{BB_1} = \frac{C_1C_2}{CC_1}.\]](http://latex.artofproblemsolving.com/d/f/a/dfa94e10638971d53066c20c4589a9c125059911.png)
If the intersections of 
and 
,
and 
,
and 
are 
,
respectively, prove that 
,
have a common point.
such that
,
,
,
denote the greatest common divisor of 
.
is an integer.
satisfying the equation![\[ 4x^2 - 3y^2 = 1 \]](http://latex.artofproblemsolving.com/d/2/8/d284c2c3a7d7fbe12a7988a4534df16e7adc8947.png)
such that 
.
and 
are standing in front of the room in which there is 
such that for any real value of 
we have:
be a triangle with incenter 
and circumcircle 
with circumcenter 
.
at 
respectively. 
is another intersection point of external bisector of 
with 
is 
incircle touch point to 
be points lie on 
intersect 
at 
. Assume that 
.
and 
are concyclic, and 
are concurrent.
are concurrent.
,
are concurrent.
![\[ \begin{tabular}{l|cccccccc}
Username & P1 & P2 & P3 & P4 & P5 & P6 & Total \\ \hline
RC. & 7 & 7 & 7 & 7 & 7& 7 & 42 \\
Hydrogen-Helium & 7 & 7 & 7 & 7 & 7 & 7 & 42 \\
\end{tabular}\]](http://latex.artofproblemsolving.com/b/1/8/b1823ff76aa93cb1173712268a7111ebbffc585c.png)
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"If it is GGG, it will be GG..."
Hi everyone! Over the last few weeks, I have had the pleasure of creating another olympiad geometry contest. My first one can be found here and my second one can be found here.
I believe the contest is somewhere between the USAJMO and USAMO in difficulty.
Sign up for the contest by posting in the thread, please. The contest will be released in approximately a week, after testsolvers have finished looking over it.
I'd like to thank users Generic_Username, AlgebraFC, MathSlayer4444, InCtrl, champion999, joey8189681, brainiac1 for being there to support me in the creation of this contest. As well as complaining about the difficulty of drawing the diagrams, they also provided moral support and, in some cases, testsolved problems.
I only currently have three testsolvers, so I would like at least one more to guarantee quality; message me or post in-thread if you would like to testsolve. I have enough testsolvers now, yay! I'm also really lazy and still haven't properly learned enough bash (I only know the basics of complex and bary) so signups for grading bashes would be really, really appreciated.
Test deadline is December 1.
See this post about time limits.
Hi everyone! Over the last few weeks, I have had the pleasure of creating another olympiad geometry contest. My first one can be found here and my second one can be found here.
I believe the contest is somewhere between the USAJMO and USAMO in difficulty.
Sign up for the contest by posting in the thread, please. The contest will be released in approximately a week, after testsolvers have finished looking over it.
I'd like to thank users Generic_Username, AlgebraFC, MathSlayer4444, InCtrl, champion999, joey8189681, brainiac1 for being there to support me in the creation of this contest. As well as complaining about the difficulty of drawing the diagrams, they also provided moral support and, in some cases, testsolved problems.
Test deadline is December 1.
See this post about time limits.
This post has been edited 19 times. Last edited by wu2481632, Dec 2, 2017, 3:11 PM
.
)
