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National and Regional Contests
Poland Contests
Poland - Second Round
1962 Poland - Second Round
5
5
Part of
1962 Poland - Second Round
Problems
(1)
locus of vertex of equilateral
Source: Polish MO Second Round 1962 p5
8/31/2024
In the plane there is a square
Q
Q
Q
and a point
P
P
P
. The point
K
K
K
runs through the perimeter of the square
Q
Q
Q
. Find the locus of the vertex
M
M
M
of the equilateral triangle
K
P
M
KPM
K
PM
.
geometry
Equilateral
Locus
square