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Problem 70-25, On the Diagonals of a Polygon

✍ Scribed by M. S. Klamkin

Book ID: 124938570
Publisher: Society for Industrial and Applied Mathematics
Year: 1970
Tongue: English
Weight: 139 KB
Volume: 12
Category: Article
ISSN: 0036-1445
DOI: 10.2307/2028499

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The purpose of this paper is to establish a conjecture of B. Griinbaum, which states that in every n-polygon P in the plane, n > 5, some diagonals intersect in a pattern that defines a new n-polygon 6 (P), such that the product of the cross-ratios on the diagonals of P is equal to the product of the