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involuted
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The answer INVOLUTED has 0 possible clue(s) in existing crosswords.
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Definitions of involuted in various dictionaries:
verb - to roll or curl up
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| Simple past tense and past participle of involute. |
| complicated or abstruse. |
| Complicated or abstruse. |
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In the differential geometry of curves, an involute (also known as evolvent) is a curve obtained from another given curve by one of two methods. * 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. For example, an involute approximates the path followed by a tetherball as the connecting tether is wound around the center pole. If the center pole has a circular cross-section, then the curve is an involute of a circle. * By a line segment that is tangent to the curve on one end, while the other end traces out the involute. The length of the line segment is changed by an amount equal to the arc length traversed by the tangent point as it moves along the curve.The evolute of an involute is the original curve, less portions of zero or undefined curvature. * The notions of the involute and evolute of a curve were introduced by Christiaan Huygens in his work titled Horologium oscillatorium sive de motu pendulorum ad horologia aptato demonstrationes geometricae (1673). |