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Arnold's Trivium
1991 Arnold's Trivium
100
100
Part of
1991 Arnold's Trivium
Problems
(1)
Problem 100
Source:
7/1/2010
Find the mathematical expectation of the area of the projection of a cube with edge of length
1
1
1
onto a plane with an isotropically distributed random direction of projection.
geometry
3D geometry
sphere
symmetry