Type:

Other

Description:

Viète in 1543 derived a representation for ... involving a sequence of nested square roots. The formula is displayed in the graphic. The underbrace signifies that the expression above it contains ... ... square roots. For finite values of ... , the formula represents the perimeter of a regular polygon of ... sides inscribed in a circle of unit diameter. For a 1024-sided polygon, corresponding to ... , Viète computed the value ... , accurate to 6 significant figures. This Demonstration allows you to extend the result up to ... . The capability of Mathematica to compute multiply nested functions is exploited. With ... , the underbraced form can be computed using ... ... ... ... ... ... ... . A derivation of Viète's formula is outlined in the Details section.

Subjects:

    Education Levels:

      Keywords:

      EUN,LOM,LRE4,work-cmr-id:397710,http://demonstrations.wolfram.com:http://demonstrations.wolfram.com/VietesNestedSquareRootRepresentationOfPi/,ilox,learning resource exchange,LRE metadata application profile,LRE

      Language:

      Access Privileges:

      Public - Available to anyone

      License Deed:

      Creative Commons Attribution 3.0

      Collections:

      None
      This resource has not yet been aligned.
      Curriki Rating
      'NR' - This resource has not been rated
      NR
      'NR' - This resource has not been rated

      This resource has not yet been reviewed.

      Not Rated Yet.

      Non-profit Tax ID # 203478467