involute

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involute
The parametric equations of an involute of a circle are
x = r cos θ + r θ sin θ,
y = r sin θ - r θ cos θ.

in·vo·lute

 (ĭn′və-lo͞ot′)
adj.
1. Intricate; complex.
2.
a. Botany Having the margins rolled inward.
b. Zoology Having whorls that enclose and obscure earlier whorls. Used of a gastropod shell.
intr.v. in·vo·lut·ed, in·vo·lut·ing, in·vo·lutes
To curl inward.
n.
The curve traced by a point as if it were on a taut string being unwound from another curve.

[Latin involūtus, past participle of involvere, to enwrap; see involve.]

in′vo·lute′ly adv.

involute

adj
1. complex, intricate, or involved
2. (Botany) botany (esp of petals, leaves, etc, in bud) having margins that are rolled inwards
3. (Zoology) (of certain shells) closely coiled so that the axis is obscured
n
(Mathematics) 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. See also evolute
vb
(intr) to become involute
[C17: from Latin involūtus, from involvere; see involve]
ˈinvoˌlutely adv
ˌinvoˈlutedly adv

in•vo•lute

(adj., n. ˈɪn vəˌlut; v. ˌɪn vəˈlut)

adj., n., v. -lut•ed, -lut•ing. adj.
1. intricate; complex.
2. curled or curved inward or spirally: a gear with involute teeth.
3. rolled inward from the edge, as a leaf.
4. (of shells) having the whorls closely wound.
n.
5. Geom. any curve of which a given curve is the evolute.
v.i.
6. to become involute.
7. to return to a normal shape, size, or state.
[1655–65; < Latin involūtus, past participle of involvere; see involve]
in′vo•lute`ly, adv.

involute


Past participle: involuted
Gerund: involuting

Imperative
involute
involute
Present
I involute
you involute
he/she/it involutes
we involute
you involute
they involute
Preterite
I involuted
you involuted
he/she/it involuted
we involuted
you involuted
they involuted
Present Continuous
I am involuting
you are involuting
he/she/it is involuting
we are involuting
you are involuting
they are involuting
Present Perfect
I have involuted
you have involuted
he/she/it has involuted
we have involuted
you have involuted
they have involuted
Past Continuous
I was involuting
you were involuting
he/she/it was involuting
we were involuting
you were involuting
they were involuting
Past Perfect
I had involuted
you had involuted
he/she/it had involuted
we had involuted
you had involuted
they had involuted
Future
I will involute
you will involute
he/she/it will involute
we will involute
you will involute
they will involute
Future Perfect
I will have involuted
you will have involuted
he/she/it will have involuted
we will have involuted
you will have involuted
they will have involuted
Future Continuous
I will be involuting
you will be involuting
he/she/it will be involuting
we will be involuting
you will be involuting
they will be involuting
Present Perfect Continuous
I have been involuting
you have been involuting
he/she/it has been involuting
we have been involuting
you have been involuting
they have been involuting
Future Perfect Continuous
I will have been involuting
you will have been involuting
he/she/it will have been involuting
we will have been involuting
you will have been involuting
they will have been involuting
Past Perfect Continuous
I had been involuting
you had been involuting
he/she/it had been involuting
we had been involuting
you had been involuting
they had been involuting
Conditional
I would involute
you would involute
he/she/it would involute
we would involute
you would involute
they would involute
Past Conditional
I would have involuted
you would have involuted
he/she/it would have involuted
we would have involuted
you would have involuted
they would have involuted
ThesaurusAntonymsRelated WordsSynonymsLegend:
Adj.1.involute - especially of petals or leaves in bud; having margins rolled inward
phytology, botany - the branch of biology that studies plants
coiled - curled or wound (especially in concentric rings or spirals); "a coiled snake ready to strike"; "the rope lay coiled on the deck"
2.involute - (of some shells) closely coiled so that the axis is obscured
coiled - curled or wound (especially in concentric rings or spirals); "a coiled snake ready to strike"; "the rope lay coiled on the deck"

involute

adjective
Translations

involute

adj (liter: = complex) → verwickelt
References in classic literature ?
The possible moves being not only manifold but involute, the chances of such oversights are multiplied; and in nine cases out of ten it is the more concentrative rather than the more acute player who conquers.
Congenital hemangiomas either rapidly involute (rapidly involuting congenital hemangioma (RICH)) over a very brief period in infancy or never involutes (noninvoluting congenital hemangioma-NICH).
When the radius of involutes base circle and the offset circle of cam are equal, the cam profile can lead zero pressure angle with the roller reducing the stress on guide sleeve.
Dhawle that taking a small subserosal bite over the fundus before bringing the suture down and tying it up is a great way to prevent the rabbit ear loops of suture that occur when the uterus involutes postpartum.
4) arranged according to the formula (3) and in the next case --the scheme generating modulation curve of the sine voltage involutes in the power n (Fig.
Boyer discovered involutes while trying to build a more accurate clock [1].
The hypothesis of the model includes the theoretical meshing gear of the involutes external spur gears, the theory of elasticity for deformable solid, the contact along a contact line of the tooth width.
One of the methods to add supplementary advantages to those already known of the involutes gears, by improving the load capacity and efficiency (Kapelevich, 2008) and reducing the transmission error and vibrations (Karpat et al.
The risk of scarring after a hemangioma involutes seems to be higher if there is a steeper slope from the skin to the hemangioma, compared with a more gradual, rolling-hill form to the hemangioma, Dr.
Fistulas form when the mesenchyme separating the cleft and pouch involutes and the cleft and pouch unite.
The TGD normally involutes during the 5th or 6th week of fetal life.