# Locus of Points at Constant Distance from the Edges of a Trihedron

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Choose a constant and a trihedron with apex and edges , , . How do you find the locus of points such that the sum of the distances of to the faces of the trihedron equals ?

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Contributed by: Izidor Hafner (April 2017)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

This problem was posed in [1, p. 220]. For the original solution, see [1, p. 225].

Reference

[1] V. V. Prasolov and I. F. Sharygin, *Problems in Stereometry* (in Russian), Moscow: Nauka, 1989.

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