Viète's formula

English

Etymology

Named after Template:W (1540–1603), who published it in 1593 in his work Variorum de rebus mathematicis responsorum, liber VIII.

Proper noun

1. Template:Lb An infinite product of nested radicals representing the constant pi: specifically, $\frac{2}{\pi }=\frac{\sqrt{2}}{2}\cdot \frac{\sqrt{2+\sqrt{2}}}{2}\cdot \frac{\sqrt{2+\sqrt{2+\sqrt{2}}}}{2}\cdots$