MathDB
Problems
Contests
National and Regional Contests
Poland Contests
Poland - Second Round
1960 Poland - Second Round
3
3
Part of
1960 Poland - Second Round
Problems
(1)
collinear wanted, 2 concentric circles
Source: Polish MO Second Round 1960 p3
8/31/2024
There are two circles with a common center
O
O
O
and a point
A
A
A
. Construct a circle with center
A
A
A
intersecting the given circles at points
M
M
M
and
N
N
N
such that the line
M
N
MN
MN
passes through point
O
O
O
.
geometry
collinear