1962 IMO Problems/Problem 3
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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) | ||
| Preceded by Problem 2 | 1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 4 |
