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Some Theorems on Convex Polygons
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 1972
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