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Halving envelopes

Published online by Cambridge University Press:  22 September 2016

Derek Ball
Derek Ball*
Affiliation:
University of Leicester School of Education, 21 University Road, Leicester LEI 7RF
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Extract

It seems that, ever since first meeting the ham sandwich theorem fourteen years ago, I have had a lurking interest in halving shapes. Somehow a few months ago I turned my attention more specifically to the problem of halving triangles and tetrahedra—a problem with which I am still wrestling. This problem was going to be the subject of an article for the Gazette, but it did not really work out well. In a letter about this abortive article Douglas Quadling drew my attention to the significance of hyperbolae for halving triangles—something which I had previously not noticed.

Type
Research Article
Information
The Mathematical Gazette , Volume 64 , Issue 429 , October 1980 , pp. 166 - 173
Copyright
Copyright © Mathematical Association 1980

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