Mathematical Object

Viète's Formula

Analysis

In mathematics, Viète's formula is an infinite product of nested radicals representing twice the reciprocal of the mathematical constant pi. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Origin Year
1593 1
named after Francois Viete, who published it in 1593
Finite or Infinite
Infinite 1
Classification
Object Kind
Equation 1
Connections

Attributed To

Source Viète's Formula (Wikipedia)

In Branch

Source Viète's Formula (Wikipedia)

Is Kind Of Object

Equation, Concepts

Principal Result Of

Source Wikipedia: François Viète
Sources
1. Viète's Formula (Wikipedia)
  • Lead section
    is the following infinite product of nested radicals
  • In Branch: Analysis, Lead paragraph
    As the first formula of European mathematics to represent an infinite process, it can be given a rigorous meaning as a limit expression and marks the beginning of mathematical analysis.
  • Attributed To: François Viète, Lead
    The formula is named after François Viète, who published it in 1593
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Wikipedia: François Viète
Principal Result Of: François Viète, Article text
Quote, Principal Result Of: François Viète, Article text
In 1593, based on geometrical considerations and through trigonometric calculations perfectly mastered, he discovered the first infinite product in the history of mathematics by giving an expression of π, now known as Viète's formula:
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