Formulas giving Pi
based on geometrical methods
(by chronological order of authors or people who inspired them)
Archimède : (287 AVJC  212
AVJC)
Fibonacci : (1180  1250)
Geometrical application of the Fibonacci's suite :
U_{0} and U_{1} being strictly positive, (if equal to 1, it is the Fibonacci's suite !),
With the golden number,
Al Kashi : (?  1429)
De Cues : (1401  1464)
Viete : (1540  1603)
Descartes : (1596  1650)
Wallis : (1616  1703)
(the third one is just an improved version of the second one)
Other formulas : (see the Attic )
1)
2) Small formula on my own
3) Application of the law of large numbers
Let be a random sequence of n points in the square [0,1]x[0,1] and D_{n} the size of the set of these points in the circle of center 0 and radius 1, i.e. , then .
4) Isolated sequence
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