The incircle of a non-isosceles triangle with the center touches the sides at respectively. The line meets the circumcircle of at . The line meets the line at and the line meets the circumcircle of at . Define similarly. Prove that the lines are concurrent.

The diagonals of a trapezoid intersect at point . Point lies between the parallel lines and such that , and line separates points and . Prove that .

Author: Vyacheslav Yasinskiy, Ukraine

Alright, if you look at any other user's page, you'll see a number attached to artofproblemsolving.com/community/users/(number). That number signifies the place in when that person entered. Alright. If i got the number 1163, I was the 1163rd person to join. But then who was the first one? With the number 1?

To all AoPS users and admin,
Sometimes I came across the marathon(i .e number theory marathon, functional equation marathon etc) which allow access only after submitting log in request.There is no other way to access the question related to that marathons.It would be glad to open all private marathons publicly.Thank you!

Summary of problem: The Mathcounts Trainer is slow again.
URL Page: https://artofproblemsolving.com/mathcounts_trainer/play
If you answer a question, it takes so long for it to show you the answer.
Behavior (expected): Should show the answer pretty quickly (wasn't Mathcounts Trainer updated recently?)

Summary of the problem: When using the "js", "java", "c", and "cpp" code tags, a left square bracket (i.e. "[") does not show. Instead, "[" appears.
Page URL: Any AoPS message board or community area.
Steps to reproduce:
1. Create a new message.
2. Inside, use a coding language template. I have not tried the following: Ruby, Go, C# (is there even on for C#?), and Python
3. Type "[".
4. Watch in amazement as your code is ruined.
Expected behavior: Inside the template, should make "[" appear.
Frequency: 100%
Operating system(s): macOS Sequoia
Browser(s), including version: Safari 18.4
Additional information: See below.

-|-leftbracket-|-]

It is "[" next to "]". Only the left bracket does not render.

Is Halp! a bot? This user has been posting questions in nearly all of my AoPS classes when the user isn't a part of the class, and this user has 150k posts.

How to create a poll in aops?

I got curious and decided to see if I can ban myself from my own blog.
can site admins give it back? it says site admins are the administrators of this blog

I honestly don't know where I come up with stuff like this

hi srry if this is in the rong place i didnt no where 2 put it i was wondering how u find a user? i tried using the search but they dont have any posts? dont no wat 2 do...

Hi!

I'm Andrew Sutherland. I'm the new Chief Product Officer at AoPS. As you may have read, Richard is retiring and Ben Kornell and I are working together to lead the company now. I'm leading all the software and digital stuff at AoPS. I just wanted to say hello and introduce myself! I'm really excited to be part of the special community that is AoPS.

Previously, I founded Quizlet as a 15-year-old high school student. I did Course 6 at MIT and then left to lead Quizlet full-time for a total of 14 years. I took a few years off and now I'm doing AoPS! I wrote more about all that on my blog: https://asuth.com/im-joining-aops

I have a question for all of you. If you could wave a magic wand, and change anything about AoPS, what would it be? All suggestions welcome! Thank you.

hi srry if this is in the rong place i dont no where else 2 put it how do u play reaper? and is htere a link 2 the game? just wondering