MathDB
Problems
Contests
National and Regional Contests
Poland Contests
Polish MO Finals
1959 Polish MO Finals
5
5
Part of
1959 Polish MO Finals
Problems
(1)
locus of midpoints
Source: Polish MO Finals 1959 p5
8/29/2024
In the plane of the triangle
A
B
C
ABC
A
BC
a straight line moves which intersects the sides
A
C
AC
A
C
and
B
C
BC
BC
in such points
D
D
D
and
E
E
E
that
A
D
=
B
E
AD = BE
A
D
=
BE
. Find the locus of the midpoint
M
M
M
of the segment
D
E
DE
D
E
.
geometry
Locus