V. On the extension of the numerical value of π

@article{ShanksVOT,
  title={V. On the extension of the numerical value of $\pi$},
  author={William Shanks},
  journal={Proceedings of the Royal Society of London},
  volume={21},
  pages={318 - 319}
}
  • W. Shanks
  • History
  • Proceedings of the Royal Society of London
In the ‘Messenger of Mathematics’ for Dec. 1872, J. W. L. Glaisher, Esq., has given some very interesting particulars regarding the calculation of π, in the justness of which the author generally concurs. He, however, differs from him as to the comparative merits of Van Ceulen, who, in the early part of the seventeenth century, calculated π to 36 decimals. Hutton’s formula also, given in the ‘ Messenger,’ appears, notwithstanding Hutton’s own opinion, to be not so well adapted for extensive… 

π and its computation through the ages

This small overview has tried to collect as many as possible major calculations of the most famous mathematical constant π, including the methods used and references whenever there are available.

The evolution of extended decimal approximations to π

In his historical survey of the classic problem of “squaring the circle,” Professor E. W. Hobson [1]* distinguished three distinct periods, characterized by fundamental differences in method,

Birth, growth and computation of pi to ten trillion digits

The universal real constant pi, the ratio of the circumference of any circle and its diameter, has no exact numerical representation in a finite number of digits in any number/radix system. It has