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A note on equilateral polygons
Published online by Cambridge University Press: 31 October 2008
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Theorem. If a circle cut all the sides (produced if necessary) of an equilateral polygon, the algebraic sum of the intercepts between the vertices and the circle is zero; i.e., if any side AB of the polygon be cut by the circle in P and Q, then Σ(AP + BQ) = 0, the intercepts being signed by fixing a positive direction round the contour of the polygon.
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- Research Article
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- Copyright © Edinburgh Mathematical Society 1949
References
1 “Theorem regarding a regular polygon and a circle cutting its sides,” Mathematical Notes, No, 22, 1924.Google Scholar
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