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A Property of a Triangle Inscribed in a Convex Curve
Published online by Cambridge University Press: 20 November 2018
Extract
The purpose of this paper is to prove the following theorem:
Theorem. Given a convex curve C, of perimeter length I and three points M, N, and P which divide the perimeter of C into three parts of equal length, the perimeter length of the triangle MNP is never less than ½l. Equality holds only in the case where C is an equilateral triangle and M, N, and P are the mid-points of the three sides.
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- Copyright © Canadian Mathematical Society 1964
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