A generalisation of π
DEREK G. BALL
Abstract
DEREK G. BALL
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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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.
Key concepts: Circumference, Perimeter, Mathematics, Diameter ratio, Value (mathematics), Aspect ratio (aeronautics), Geometry, Combinatorics