involute

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.

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

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in′vo·lute′ly adv.

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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

Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

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.

Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.

involute

Past participle: involuted
Gerund: involuting

Imperative

involute

involute

Collins English Verb Tables © HarperCollins Publishers 2011

Thesaurus

Adj.	1.	involute - especially of petals or leaves in bud; having margins rolled inward rolled 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"

Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.

involute

adjective

Difficult to understand because of intricacy:

byzantine, complex, complicated, convoluted, daedal, Daedalian, elaborate, intricate, involved, knotty, labyrinthine, tangled.

The American Heritage® Roget's Thesaurus. Copyright © 2013, 2014 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

Translations

involuto

involute

adj (liter: = complex) → verwickelt

Collins German Dictionary – Complete and Unabridged 7th Edition 2005. © William Collins Sons & Co. Ltd. 1980 © HarperCollins Publishers 1991, 1997, 1999, 2004, 2005, 2007