Document Type

Article

Publication Date

6-1994

Keywords

Convex 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

DOI

http://dx.doi.org/10.2307/2160435

Required Publisher's Statement

Published by: American Mathematical Society

Article DOI: 10.2307/2160435

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

Subjects - Topical (LCSH)

Convex bodies; Geometry, Affine

Genre/Form

articles

Type

Text

Rights

Copying of this document in whole or in part is allowable only for scholarly purposes. It is understood, however, that any copying or publication of this document for commercial purposes, or for financial gain, shall not be allowed without the author’s written permission.

Language

English

Format

application/pdf

Included in

Mathematics Commons

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