I Accelerating involute

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Summary
I once viewed an involute which the involute accelerated.
Can someone help me with a formula for an accelerating involute curve? I have found this wiki on involute
 
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What do you mean by "accelerated"?

It looks like there is a lot of context missing.
 
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The circle of derivation is increasing as the "string" around that circle is enlarging
 
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Summary: I once viewed an involute which the involute accelerated.

Can someone help me with a formula for an accelerating involute curve? I have found this wiki on involute
This wiki page you cited has a formula for a general curve, and several more for specific types of curves. Isn't one of these what you're looking for?
 
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possibly. that's why I posted in the math forum. I can't decipher from that what I would need to plot. Thanks
 
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possibly. that's why I posted in the math forum. I can't decipher from that what I would need to plot. Thanks
For most of the formulas on the page you linked to, you need to do a parametric plot. For example, to plot ##x(t) = t + \sin(t), y(t) = 3 + \cos(t)## on the interval ##[0, 2\pi]##, you can do this in WolframAlpha:

parametric plot (t + sin t, 3 + cos t), t=0..2pi

Here's a link to the plot - https://www.wolframalpha.com/input/?i=parametric+plot+(t+++sin+t,+3+++cos+t),+t=0..2pi
 

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