# 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
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005

## 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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

## 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.
McGraw-Hill Dictionary of Architecture and Construction. Copyright © 2003 by McGraw-Hill Companies, Inc.
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.
2.2 The asymmetric profile involutes and filet curve parametrical equations
Burwick does not actually answer this biographical question, but assumes the answer in describing the development of the involute. In chapter 3, likewise, Burwick raises the question of the difference between German and English romantic irony, but his answer (depending on a cryptic invocation of David Simpson and Anne Mellor more elusive than my redaction above) does not succeed in pulling De Quincey's style under the English rubric.
Miller answers the questions implicit in this "involute" through a phenomenological account that had great resonance for a critical audience that was anxious to get "beyond formalism." De Quincey's visit to the upper room is a scene of loss that produces a discontinuous self that his later work attempts to make whole: "Until now the self has been diffused into its surroundings.
In the same time, the line d roll up with the angular speed cod without sliding on the base cylinder, so that the generating element M describes a curled involute C, tangent in the exterior of a circle (cylinder) with the radius [R.sub.dr] named directory circle (cylinder).
By using involutes, the plastic version gains the advantage of what Kleiss called "high tolerance relief," noting that "the center distance doesn't affect conjugate action."
In the calculus program first are determined the parameters of the involutes profiles and second the gear rack parameters which determine the joint profiles from the base of the direct and inverted involutes profiles of the tooth.
3 shows the force diagram for the cam follower mechanism, where G is the opening force of water valve (including the opening force of valve and the weight of follower, etc.), r is the radius of the involute base circle, [alpha] is the pressure angle, F is the force between cam with roller, [[phi].sub.1] is the friction angle, M is the driving torque for cam.
The thickness of the involute profile at any point as shown in Fig.
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. Palpation of cavernous hemangiomas will reveal a deep, soft swelling in the subcutaneous tissue.
Within the pump are twin fixed scrolls, involute spirals, each machined with an integral flat base.

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