For modern searches about pi (with rich bibliographies) see :
Gert Almkvist - Bruce Berndt : Gauss, Landen, Ramanujan, the Aritmetic-Geometric Mean, Ellipses, p and the Ladies Diary, AMM 95(1988) 585-608
J.M. Borwein - P.B. Borwein - D.H. Bailey : Ramanujan, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi, AMM 96(1989) 201-219
J.M. Borwein - P.B. Borwein - K. Dilcher : Pi, Euler Numbers, and Asymptotic Expansions, AMM 96(1989) 681-687
22. POPULARIZED:
J.M. Borwein - P.B. Borwein : Ramanujan and Pi, Scientific American, February 1988, pp. 112-117
pi (: symbol)
The use of the symbol p to designate the number 3.14 (...) goes back to 1647, when Oughtred used d / p for the ratio of diameter to circumference; but in 1697 D. Gregory used p / r for the ratio of circumference to radius. The single symbol p was introduced about the beginning of the 18th century. William Jones in 1706 represented it by p ; a few years later Johann Bernoulli denoted it by c. Euler in 1734 used p, and in 1736 used c ; Christian Goldbach in 1742 used p ; and after the publication of Euler's Analysis the symbol p was generally employed.
Ball 1, p. 349
Notes-Ed.:
1. More details see in Cajory II, pp. 8-13
2. p is the initial letter of the word perifereia = circumference
d is the initial letter of the word diametroV = diameter
r = r : the initial letter of the word radius = aktiV
pi (: name)
Another name for pi:
Zu {Chongzhi, 429-500 AD} analyzed previous findings of other mathematicians, and not being bound by their conclusions, after exhaustive calculation he determined the value of Pi to lie between 3.1415926 and 3.1415927. He also found the ratios of 22/7 and 355/133 to be the deficit and excess values of Pi (....). Because of this, a Japanese mathematician called this value "Zu's ratio".
Zhong, p. 54
Comments-Ed.:
The number MUST have Archimedes' and only Archimedes' name : Archimedean number or Archimedes' constant p , as in:
