Title

Generalizing Eves' Theorem

Document Type

Presentation

Presentation Date

8-4-2012

Conference Name

MAA MathFest 2012

Conference Location

Madison, WI

Peer Review

Contributed

Abstract

A 2011 article by Marc Frantz in Mathematics Magazine demonstrated some applications of Eves’ Theorem, which states that certain ratios of Euclidean distances are invariant under projective transformations (a non-Euclidean notion) of the plane. The theorem can be generalized to higher dimensions, and some of the results on invariant ratios of areas pre-date Eves.

Disciplines

Algebraic Geometry | Mathematics | Other Applied Mathematics

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Link to Original Published Item

http://www.maa.org/abstracts/mf2012_abstracts.PDF