Viète's formula
التعريفات والمعاني
== English ==
=== Etymology ===
Named after François Viète (1540–1603), who published it in 1593 in his work Variorum de rebus mathematicis responsorum, liber VIII.
=== Proper noun ===
Viète's formula
(mathematics) An infinite product of nested radicals representing the constant pi: specifically,
2
π
=
2
2
⋅
2
+
2
2
⋅
2
+
2
+
2
2
⋯
{\displaystyle {\frac {2}{\pi }}={\frac {\sqrt {2}}{2}}\cdot {\frac {\sqrt {2+{\sqrt {2}}}}{2}}\cdot {\frac {\sqrt {2+{\sqrt {2+{\sqrt {2}}}}}}{2}}\cdots }