Re: Infinite fraction formula for Pi

From: Philippe 92 (nospam_at_free.invalid)
Date: 03/29/05 

Date: Tue, 29 Mar 2005 17:16:50 +0200

Scott wrote :
> What is the infinite fraction formula for Pi? I think it is something like
>
> Pi = 2/(1/2 + 2/(1/2 + 2/(1/2 + ...
>
> Is this correct? I am basing the formula on circumscribed polygons.

IMHO pi = 3.14... and not 1.18...

Why do you think it would converge to pi ?
Your fraction gives (sqrt(33) - 1) / 4

A periodic infinite fraction can't converge to pi, which is
transcendental.
Periodic continued fractions give algebraic numbers.

Regards. 

-- 
philippe
mail : chephip+misc at free dot fr
replace misc by news otherwise message will go to trash