Pi formulae

A collection of compact formulas for pi.

Decimal expansion; Simple continued fraction expansion; Solving e^iπ=-1 for π; The sine wave crosses zero; Gregory-Leibniz; Euler; Normal distribution; Machin; Area of quarter circle; Putnam exam; Circumference of semicircle; Brouncker; Wallis; Lange, L J, "An Elegant Continued Fraction for Pi" American Mathematical Monthly vol 106 (1999); http://functions.wolfram.com/Constants/Pi/08/0007/; Viète (NB: The product starts from index k=1. a₀ is just used to seed the recurrence.); Riemann Zeta(2); Ramanujan; Bailey Borwein Plouffe; Brent Salamin Gauss Legendre arithmetic-geometric mean (AGM)

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