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1960 IMO Problems/Problem 5

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Problem

Consider the cube ABCDA'B'C'D' (with face ABCD directly above face A'B'C'D').

a) Find the locus of the midpoints of the segments XY, where X is any point of AC and Y is any point of B'D';

b) Find the locus of points Z which lie on the segment XY of part a) with ZY = 2XZ.

Solution

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See Also

1960 IMO (Problems)
Preceded by
Problem 4
1 2 3 4 5 6 Followed by
Problem 6
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