High Quality Content by WIKIPEDIA articles! In the differential geometry of curves, an involute (also known as evolvent) of a smooth curve is another curve, obtained by attaching an imaginary taut string to the given curve and tracing its free end as it is wound onto that given curve; or in reverse, unwound. It is a roulette wherein the rolling curve is a straight line containing the generating point. Alternatively, another way to imagine the involute of a curve is to replace the taut string by a line, and tracing a given point at the line as the line is rolled on the curve, all the time keeping the line as a tangent to the curve.

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