Document Type

Article

Publication Date

6-1994

Keywords

Conves body, Projection, Section, Direct homothety, Similarity, Affine equivalence

Abstract

By examining an example constructed by Petty and McKinney, we show that there are pairs of centered and coaxial bodies of revolution in Ed, d ≥ 3, whose projections onto each two-dimensional subspace are similar, but which are not themselves even affinely equivalent.

Publication Title

Proceedings of the American Mathematical Society

Volume

121

Issue

2

First Page

563

Last Page

568

Required Publisher's Statement

Published by: American Mathematical Society

Article DOI: 10.2307/2160435

Stable URL: http://www.jstor.org/stable/2160435

Language

English

Format

application/pdf

Included in

Mathematics Commons

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