Difference between revisions of "1978 IMO Problems/Problem 2"
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== See Also == {{IMO box|year=1978|num-b=1|num-a=3}} | == See Also == {{IMO box|year=1978|num-b=1|num-a=3}} | ||
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+ | [[Category:3D Geometry Problems]] | ||
+ | [[Category:Olympiad Geometry Problems]] |
Revision as of 16:00, 29 January 2021
Problem
We consider a fixed point in the interior of a fixed sphere
We construct three segments
, perpendicular two by two
with the vertexes
on the sphere
We consider the vertex
which is opposite to
in the parallelepiped (with right angles) with
as edges
Find the locus of the point
when
take all the positions compatible with our problem.
Solution
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See Also
1978 IMO (Problems) • Resources | ||
Preceded by Problem 1 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 3 |
All IMO Problems and Solutions |