Date: Jan 6, 2013 3:17 AM
Author: thomasinventions@yahoo.com
Subject: Re: A single term formula for calculating the circumference of ellipse

This enables an extra significant digit at the worse part of the approximation of Zafary's discovery:

E(1-x^2)~(1+x)*(pi/4)^(1-(1+36x-37x^2)^2/(1+38x+36x^2)^2)

I like to put the circumference of ellipse into terms of E.

C~4a(1+b)(pi/4)^(1-(1+36b-37b^2)^2/(1+38b+36b^2)^2)

Letting b=b/a.

I figure these numbers would be simple to remember.


-Thomas Blankenhorn