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A generalisation of π

1973/12/01 by DEREK G. BALL · 2 citations
Mathematics · #Mathematics and Applications #Circumference #Perimeter #Mathematics #Diameter ratio #Value (mathematics) #Aspect ratio (aeronautics) #Geometry #Combinatorics #Statistics #Physics #Mechanics

paper · doi:10.2307/3616052

openalex publication_date 1973/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21

Abstract

The number π signifies the ratio of circumference to diameter of a circle, and the definition depends upon the fact that the value of this ratio is independent of the size of the circle. We can determine a similar ratio for any shape by replacing circumference by perimeter and diameter by width.

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