# Involute of a Circle

• Jul 29th 2012, 07:57 PM
vinsanity209667
Involute of a Circle
I've been trying to determine a way to describe the roots of an involute of a circle without using approximation methods. I've used Newton's Method to find that as t approaches infinity, the distance between roots approaches pi (in terms of t). This has led me to think that there might be some way to describe the sequence of these roots with a formula. So my question is - is there a known formula that determines these roots and if not, is it possible to develop one?
• Jul 29th 2012, 10:17 PM
earboth
Re: Involute of a Circle
Quote:

Originally Posted by vinsanity209667
I've been trying to determine a way to describe the roots of an involute of a circle without using approximation methods. I've used Newton's Method to find that as t approaches infinity, the distance between roots approaches pi (in terms of t). This has led me to think that there might be some way to describe the sequence of these roots with a formula. So my question is - is there a known formula that determines these roots and if not, is it possible to develop one?

Have a look here: Involute - Wikipedia, the free encyclopedia

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