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Putnam
1953 Putnam
B6
B6
Part of
1953 Putnam
Problems
(1)
Putnam 1953 B6
Source: Putnam 1953
7/16/2022
Let
P
P
P
and
Q
Q
Q
be any points inside a circle
C
C
C
with center
O
O
O
such that
O
P
=
O
Q
.
OP=OQ.
OP
=
OQ
.
Determine the location of a point
Z
Z
Z
on
C
C
C
such that
P
Z
+
Q
Z
PZ+QZ
PZ
+
QZ
is minimal.
Putnam
Locus
circle
minima