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1953 Moscow Mathematical Olympiad
243
243
Part of
1953 Moscow Mathematical Olympiad
Problems
(1)
MMO 243 Moscow MO 1953 equal cones to a given right circular one
Source:
8/9/2019
Given a right circular cone and a point
A
A
A
. Find the set of vertices of cones equal to the given one, with axes parallel to that of the given one, and with
A
A
A
inside them. We shall assume that the cone is infinite in one side.
cone
geometry
3D geometry