Difference between revisions of "1962 IMO Problems/Problem 3"
(New page: ==Problem== Consider the cube <math>ABCDA'B'C'D'</math>(<math>ABCD</math> and <math>A'B'C'D'</math> are the upper and lower bases, respectively, and edges <math>AA'</math>, <math>BB'</math...) |
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{{IMO box|year=1962|num-b=2|num-a=4}} | {{IMO box|year=1962|num-b=2|num-a=4}} | ||
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Revision as of 22:30, 18 July 2016
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 | ||
