You are here

The Classification of Similarities: A New Approach

by Aad Goddijn (Freudenthal Institute The Netherlands) and Wim Pijls (Erasmus University The Netherlands)

This article originally appeared in:
Mathematics Magazine
June, 2007

Subject classification(s): Geometry and Topology | Plane Geometry | Transformations
Applicable Course(s): 4.9 Geometry

In plane geometry, if a similarity is not an isometry, it is either a dilative rotation or a dilative reflection. A new proof is given based on Apollonius circles.

A pdf copy of the article can be viewed by clicking below. Since the copy is a faithful reproduction of the actual journal pages, the article may not begin at the top of the first page.

To open this file please click here.

These pdf files are furnished by JSTOR.

Classroom Capsules would not be possible without the contribution of JSTOR.

JSTOR provides online access to pdf copies of 512 journals, including all three print journals of the Mathematical Association of America: The American Mathematical Monthly, College Mathematics Journal, and Mathematics Magazine. We are grateful for JSTOR's cooperation in providing the pdf pages that we are using for Classroom Capsules.

Average: 3 (5 votes)