🔬 Discovery

Viète's formula

Fórmula de Viète

Date
1593 · confidence high
Place
Tours, France
Credited to
François Viète
Field
Knowledge & symbols

What was discovered

Infinite product of nested radicals expressing the value of 2/π, published by François Viète; it is the first known infinite product in the history of mathematics and the first explicit algorithm for computing π.

What it led to

  • First historical example of an infinite product in mathematical analysis
  • First explicit algorithm for approximating π to arbitrary precision
  • Conceptual basis for later infinite products and series, such as those of Wallis and Leibniz

Links

Sources✓ verified 2026-09-28