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Calculation of π with a needle

Published online by Cambridge University Press:  14 February 2019

Athina Lorentziadi
Athina Lorentziadi*
Affiliation:
Hellenic American Foundation, Psychiko College, 3rd Grade High School, Athens, Greece e-mail: athinalori@gmail.com

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The number πis perhaps the most famous irrational number. This constant is equal to the ratio of the circumference of a circle to its diameter. One of the most well-known mathematical problems of antiquity, which is related to π, is how to construct by using a ruler and compasses a square which has the same area as a circle. This particular problem cannot be solved, due to the fact that π is a transcendental number, which means that it cannot be obtained as the root of a polynomial equation with rational coefficients. It was Euler in the 18th century who established the notation π.

Information

Type
Articles
Information
The Mathematical Gazette , Volume 103 , Issue 556 , March 2019 , pp. 111 - 116
Copyright
Copyright © Mathematical Association 2019 

References

1. Dorrie, H., 100 Great problems of elementary mathematics, their history and solution, Dover Publications, New York (1965).Google Scholar
2. Wilson, D., History of Pi, Rutgers University, (2000) available at https://www.math.rutgers.edu/∼cherlin/History/Papers2000/wilson.htmlGoogle Scholar
3. Hirshfeld, A. W., Eureka man: the life and legacy of Archimides, Walker and Company (2010).Google Scholar
4. Buffon, G., Histoire naturelle, générale et particulière, Supplément 4 (1777) pp. 46–123.Google Scholar
5. de Morgan, Augustus, A budgetof paradoxes, Volume 1 (1872), Second Edition by D. E. Smith (editor), Dover Publications, New York (2007). Available by Project Gutenberg at: https://www.gutenberg.org/files/23100/23100-h/23100-h.htmlGoogle Scholar
6. Holton, G. A., Value-at-risk (2nd edn.) (2014). Available at https://www.value-at-risk.net/title-page/Google Scholar
7. Arrow, B. J., On Laplace extension of the Buffon needle problem, The College Mathematics Journal 25(1) (1994) pp. 40–43. Available at: http://www.math.udel.edu/∼pelesko/Teaching/Math308_Spring_2006/buffon.pdfGoogle Scholar