Convex disks can cover their shadow (Q748885)
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scientific article; zbMATH DE number 4171843
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convex disks can cover their shadow |
scientific article; zbMATH DE number 4171843 |
Statements
Convex disks can cover their shadow (English)
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1990
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The authors give a short proof of the fact that given any 2-dimensional convex disk C in \({\mathbb{R}}^ 3\) and an orthogonal projection \(C'\) of C on a plane, then there is a congruent copy of C which contains \(C'\). [See \textit{M. D. Kovalev}, Ukr. Geom. Sb. 27, 57-68 (1984; Zbl 0551.52003) and \textit{H. E. Debrunner} and \textit{P. Mani-Levitska}, Discrete Comput. Geom. 1, 45-58 (1986; Zbl 0593.52002)].
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shadow
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covering
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convex disk
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orthogonal projection
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