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
?
Contributed by: Izidor Hafner (April 2017)
Open content licensed under CC BY-NC-SA
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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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