Golden Ratio Approximations

Author

Eric W. Weisstein
August 5, 2006

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Constants/GoldenRatioApproximations.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/GoldenRatioApproximations.html.

©2006 Wolfram Research, Inc. except for portions noted otherwise

Examples

Unknown

CorrectDigits[(Sqrt[5(π/6)]),GoldenRatio]

N[Subtract@@{(Sqrt[5(π/6)]),GoldenRatio},10]//ScientificForm

W. van Doorn

Jul. 18, 2006

CorrectDigits[((7π)/(5E)),GoldenRatio]

N[Subtract@@{((7π)/(5E)),GoldenRatio},10]//ScientificForm

Ross

CorrectDigits[-(FeigenbaumAlpha+((((7/8)))^Catalan)),GoldenRatio]

N[Subtract@@{-(FeigenbaumAlpha+((((7/8)))^Catalan)),GoldenRatio},10]