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Some Theorems on Convex Polygons

Published online by Cambridge University Press:  20 November 2018

E. Altman
E. Altman*
Affiliation:
Technion-Israel Institute of Technology, Haifa, Israel
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Abstract

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In this paper diagonals of various orders in a (strict) convex polygon Pn are considered. The sums of lengths of diagonals of the same order are studied. A relationship between the number of consecutive diagonals which do not intersect a given maximal diagonal and lie on one side of it and the order of the smallest diagonal among them is established. Finally a new proof of a conjecture of P. Erdos, considered already in [1], is given.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 15 , Issue 3 , September 1972 , pp. 329 - 340
Copyright
Copyright © Canadian Mathematical Society 1972

References

1. Altman, F., On a Problem by P. Erdos, Amer. Math. Monthly, 70 (1963), 148-157.Google Scholar