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RU-ALLRUSSIAN 1966 Problem 9

    Given a triangle ABC. Suppose the point P in space is such that PH is the smallest of the four altitudes of the tetrahedron PABC. What is the locus of H for all possible P?

    Dataset text NuminaMath olympiads. Quoted with source.

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    Locator ru-allrussian/1966/p9 · Tag N0K7FB9KB3 · Edit this page on GitHub · Keys: j next, k previous