1962 IMO Problems/Problem 3
Problem
Consider the cube (
and
are the upper and lower bases, respectively, and edges
,
,
,
are parallel). The point
moves at constant speed along the perimeter of the square
in the direction
, and the point
moves at the same rate along the perimeter of the square
in the direction
. Points
and
begin their motion at the same instant from the starting positions
and
, respectively. Determine and draw the locus of the midpoints of the segments
.
Solution
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See Also
1962 IMO (Problems) • Resources | ||
Preceded by Problem 2 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 4 |
All IMO Problems and Solutions |