A simple geometric method of estimating the error in using Vieta's product for π.

Autor:	Osler, T. J.
Předmět:	GEOMETRICAL constructions ERROR INFINITE products INFINITE processes ALGEBRA ITERATIVE methods (Mathematics) NUMERICAL analysis CONJUGATE gradient methods MATHEMATICAL analysis
Zdroj:	International Journal of Mathematical Education in Science & Technology; 2007, Vol. 38 Issue 1, p136-142, 7p, 1 Diagram
Abstrakt:	Vieta's famous product using factors that are nested radicals is the oldest infinite product as well as the first non-iterative method for finding π. In this paper a simple geometric construction intimately related to this product is described. The construction provides the same approximations to π as are given by partial products from Vieta's formula. Upper and lower bounds for the error are obtained in a visual way. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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