Definitions for involute
ˈɪn vəˌlut; ˌɪn vəˈlutin·vo·lute

Princeton's WordNetRate this definition:0.0 / 0 votes

1. involute, rolledadjective

   especially of petals or leaves in bud; having margins rolled inward

2. involuteadjective

   (of some shells) closely coiled so that the axis is obscured

WiktionaryRate this definition:0.0 / 0 votes

1. involutenoun

   A curve that cuts all tangents of another curve at right angles; traced by a point on a string that unwinds from a curved object.

2. involuteverb

   To roll or curl inwards.

3. involuteadjective

   Difficult to understand; complicated.

4. involuteadjective

   Having the edges rolled with the adaxial side outward.

5. involuteadjective

   Having a complex pattern of coils.

6. Etymology: From involutus.

WikipediaRate this definition:0.0 / 0 votes

1. Involute

   In mathematics, an involute (also known as an evolvent) is a particular type of curve that is dependent on another shape or curve. An involute of a curve is the locus of a point on a piece of taut string as the string is either unwrapped from or wrapped around the curve.The evolute of an involute is the original curve. It is generalized by the roulette family of curves. That is, the involutes of a curve are the roulettes of the curve generated by a straight line. 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), where he showed that the involute of a cycloid is still a cycloid, thus providing a method for constructing the cycloidal pendulum, which has the useful property that its period is independent of the amplitude of oscillation.

ChatGPTRate this definition:0.0 / 0 votes

1. involute

   An involute is a geometric concept or curve that represents the path that a point on a line or plane takes when that line or plane is rolled along another curve, such as a circle or straight line, without slipping. It is a type of spiral. In mechanical engineering, the involute is commonly used in the design of gears and springs.

Webster DictionaryRate this definition:0.0 / 0 votes

1. Involuteadjective

   alt. of Involuted

2. Involutenoun

   a curve traced by the end of a string wound upon another curve, or unwound from it; -- called also evolvent. See Evolute

WikidataRate this definition:0.0 / 0 votes

1. Involute

   In the differential geometry of curves, an involute is a curve obtained from another given curve 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. It is a roulette wherein the rolling curve is a straight line containing the generating point. 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. Alternatively, another way to construct the involute of a curve is to replace the taut string 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. Compare Media:Evolute2.gif and Media:Involute.gif If the function is a natural parametrization of the curve, then : parametrizes the involute. 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.

Chambers 20th Century DictionaryRate this definition:0.0 / 0 votes

1. Involute

   in′vo-lūt, n. that which is involved or rolled inward: a curve traced by the end of a string unwinding itself from another curve.—adjs. In′volute, -d (bot.), rolled spirally inward: turned inward, of shells.—n. Involū′tion, the action of involving: state of being involved or entangled: complicated grammatical construction: (arith.) act or process of raising a quantity to any given power. [See Involve.]

EntomologyRate this definition:0.0 / 0 votes

1. Involute

   spirally rolled inwardly.

Matched Categories

1. • Botany

How to pronounce involute?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say involute in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of involute in Chaldean Numerology is: 1

2. Pythagorean Numerology

   The numerical value of involute in Pythagorean Numerology is: 1

Popularity rank by frequency of use

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=involute
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Involute
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Involute
4. ^ ChatGPT
   https://chat.openai.com
5. ^ Webster Dictionary
   https://www.merriam-webster.com/dictionary/involute
6. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=involute
7. ^ Chambers 20th Century Dictionary
   https://www.gutenberg.org/files/37683/37683-h/37683-h.htm#:~:text=involute
8. ^ Entomology
   https://www.gutenberg.org/files/22748/22748-h/22748-h.htm#:~:text=involute