MathDB
Miklos Schweitzer 1977_1

Source: geometry

January 25, 2009
geometryadvanced fieldsadvanced fields unsolved

Problem Statement

Consider the intersection of an ellipsoid with a plane σ \sigma passing through its center O O. On the line through the point O O perpendicular to σ \sigma, mark the two points at a distance from O O equal to the area of the intersection. Determine the loci of the marked points as σ \sigma runs through all such planes. L. Tamassy