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Acute Triangulation of a Triangle in a General Setting

Published online by Cambridge University Press:  20 November 2018

Victor Pambuccian
Victor Pambuccian*
Affiliation:
Division of Mathematical and Natural Sciences, Arizona State University-West Campus, Phoenix, AZ, U.S.A. e-mail: pamb@math.west.asu.edu
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Abstract

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We prove that, in ordered plane geometries endowed with a very weak notion of orthogonality, one can always triangulate any triangle into seven acute triangles, and, in case the given triangle is not acute, into no fewer than seven.

Keywords

51G0551F2051F05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 53 , Issue 3 , 01 September 2010 , pp. 534 - 541
Copyright
Copyright © Canadian Mathematical Society 2010

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