involute

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involute

1. Botany (esp of petals, leaves, etc., in bud) having margins that are rolled inwards
2. (of certain shells) closely coiled so that the axis is obscured
3. Geometry the curve described by the free end of a thread as it is wound around another curve, the evolute, such that its normals are tangential to the evolute

involute

[¦in·və¦lüt]
(biology)
Being coiled, curled, or rolled in at the edge.
(mathematics)
A curve produced by any point of a perfectly flexible inextensible thread that is kept taut as it is wound upon or unwound from another curve.
A curve that lies on the tangent surface of a given space curve and is orthogonal to the tangents to the given curve.
A surface for which a given surface is one of the two surfaces of center.

involute

1. A curve traced by a point at the end of a string as the string is unwound from a stationary cylinder.
2. Curved spirally.
References in periodicals archive ?
Since the curve [alpha]* is involute of [alpha], <T, T*> = 0.
So, one can determine the relations between Frenet-Serret invariants of the involute of the tangent spherical image and the Frenet-Serret apparatus of the base curve.
2 The asymmetric profile involutes and filet curve parametrical equations
Cavernous hemangiomas may also resemble juvenile hemangiomas and may even occur together, but cavernous hemangiomas have a bluish hue, are deep seated, and unlikely to involute.
Barrell begins by proceeding as if the involute of "the closed door, the footfall on the stairs, the motionless woman, the kiss, the Wandering Jew" (32), which recurs with remarkable frequency in the most unlikely places, constituted a primal scene for De Quincey.
This advantage won't be so seen on the individual involutes, but it's important for the statistical mean.
The second form of the curve C is a curled involutes tangent in the interior to the director circle (cylinder) (figure 3).
recently designed an epicylic train that, in a metal version available commercially, uses pins in place of gear teeth because of the expense of shaping internal involutes.
This permit to determine the geometrical parameters of any special gears without the constraints imposed by the standard classical generation of the involutes teeth profiles, considering as the first step of design the geometry of the gears and only as second step the geometry of the tool (Kapelevich, 2008).
This configuration creates crescent-shaped pockets between the involutes of the meshed scrolls and the base plates.
One of the methods to added supplementary advantages to those already known of the involutes gears, by improving the load capacity and efficiency (Kapelevich, A.