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