MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
Harvard-MIT Mathematics Tournament
2014 Harvard-MIT Mathematics Tournament
1
2014 Team #1: Circle in the Interior
2014 Team #1: Circle in the Interior
Source:
March 2, 2014
Problem Statement
Let
ω
\omega
ω
be a circle, and let
A
A
A
and
B
B
B
be two points in its interior. Prove that there exists a circle passing through
A
A
A
and
B
B
B
that is contained in the interior of
ω
\omega
ω
.
Back to Problems
View on AoPS