MathDB
Problems
Contests
Undergraduate contests
Putnam
1942 Putnam
A1
A1
Part of
1942 Putnam
Problems
(1)
Putnam 1942 A1
Source: Putnam 1942
3/1/2022
A square of side
2
a
2a
2
a
, lying always in the first quadrant of the
x
y
xy
x
y
-plane, moves so that two consecutive vertices are always on the
x
x
x
- and
y
y
y
-axes respectively. Find the locus of the midpoint of the square.
Putnam
square
Locus