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#1 Re: Help Me ! » Lemniscate in Parametric Form » 2005-11-26 07:52:02

Thank you.

But I still don't understand where x = (a * cos t)/(1+sin^2 t) and y = (a * sin t cos t)/(1+sin^2 t) come from.

#2 Help Me ! » Lemniscate in Parametric Form » 2005-11-25 10:49:16

Zoid
Replies: 2

Hi,

I'm working on a report in which I have to take the definition of a lemniscate and use it to develop a system of parametric equations to describe it. I know that the most common such system is x = (a * cos t)/(1+sin^2 t) and y = (a * sin t cos t)/(1+sin^2 t).

My question is... how do you derive this from the definition of a lemniscate?

Thanks in advance for any help.

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