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Iran Contests
Iran MO (2nd Round)
1983 Iran MO (2nd round)
4
4
Part of
1983 Iran MO (2nd round)
Problems
(1)
Sum of squares of lengths is fixed -[Iran Second Round 1983]
Source:
12/30/2010
The point
M
M
M
moves such that the sum of squares of the lengths from
M
M
M
to faces of a cube, is fixed. Find the locus of
M
.
M.
M
.
geometry
3D geometry
sphere
geometry proposed