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MMO 359 Moscow MO 1957 locus of endpoints M of all broken lines OM

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March 20, 2021
geometryLocusperpendicular

Problem Statement

Straight lines OAOA and OBOB are perpendicular. Find the locus of endpoints MM of all broken lines OMOM of length ℓ\ell which intersect each line parallel to OAOA or OBOB at not more than one point.
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