Definition of involute in English:

involute

adjective ˈɪnvəl(j)uːtˈɪnvəˌlut

1formal Involved or intricate.
〈正式〉棘手的，错综复杂的；纠缠不清的，难以理解的
the art novel has grown increasingly involute
艺术小说变得越来越让人难以理解。
Synonyms
complex, complicated, convoluted, tangled, entangled, ravelled, twisted, knotty, maze-like, labyrinthine, winding, serpentine, circuitous, sinuous
2technical Curled spirally.
〈技〉螺旋形卷曲的
1. 2.1Zoology (of a shell) having the whorls wound closely round the axis.
  〔动〕（指贝壳）内卷的，内旋的
  Example sentencesExamples
  Although no equatorial sections were recovered, the present specimens exhibit a likely involute initial stage followed by biserial, uncoiled later stage in which chambers are more flattened.
  They evolved in the Devonian, comprising evolute to involute planispirally coiled conchs quite similar to that of the contemporaneous nautiloids.
  Most contemporary goniatitids had an involute shell with compressed whorls.
  In the Anaspidea there is a tendency for parapodia to enlarge and, together with the mantle, to enclose the fragile shell (with increasingly reduced and involute spire).
  The fundamental structure of the proloculus is the innermost part of the spirally arranged shell; it resembles the involute type of planispirally arranged foraminifera tests.
2. 2.2Botany (of a leaf or the cap of a fungus) rolled inwards at the edges.
  〔植〕（指叶子或菌盖）内卷的
  Example sentencesExamples
  Distinguishing characteristics are fully double, involute florets that are narrow and pointed.
  They were found to comprise at least three different traits: involute leaves, early flowering, and Apetala flowers.
  This mutant displayed involute leaves and early flowering, although less than clf and icu2 mutants (20 days after sowing).

noun ˈɪnvəl(j)uːtˈɪnvəˌlut

Geometry

The locus of a point considered as the end of a taut string being unwound from a given curve in the plane of that curve.
〔几何〕渐伸线，切展线。比较EVOLUTE
Compare with evolute
Example sentencesExamples
- Both the evolute and involute of a cycloid is an identical cycloid.
- Hence a curve has a unique evolute but infinitely many involutes.
- Since normals to a straight line never intersect and tangents coincide with the curve, evolutes, involutes and pedal curves are not too interesting.
- He defines evolutes and involutes of curves and, after giving some elementary properties, finds the evolutes of the cycloid and of the parabola.
- The evolute and the involute of an equiangular spiral is an identical equiangular spiral.

Origin

Mid 17th century: from Latin involutus, past participle of involvere (see involve).

Definition of involute in US English:

involute

adjectiveˈɪnvəˌlutˈinvəˌlo͞ot

1formal Involved or intricate.
〈正式〉棘手的，错综复杂的；纠缠不清的，难以理解的
the art novel has grown increasingly involute
艺术小说变得越来越让人难以理解。
Synonyms
complex, complicated, convoluted, tangled, entangled, ravelled, twisted, knotty, maze-like, labyrinthine, winding, serpentine, circuitous, sinuous
2technical Curled spirally.
〈技〉螺旋形卷曲的
1. 2.1Zoology (of a shell) having the whorls wound closely around the axis.
  〔动〕（指贝壳）内卷的，内旋的
  Example sentencesExamples
  They evolved in the Devonian, comprising evolute to involute planispirally coiled conchs quite similar to that of the contemporaneous nautiloids.
  Most contemporary goniatitids had an involute shell with compressed whorls.
  In the Anaspidea there is a tendency for parapodia to enlarge and, together with the mantle, to enclose the fragile shell (with increasingly reduced and involute spire).
  Although no equatorial sections were recovered, the present specimens exhibit a likely involute initial stage followed by biserial, uncoiled later stage in which chambers are more flattened.
  The fundamental structure of the proloculus is the innermost part of the spirally arranged shell; it resembles the involute type of planispirally arranged foraminifera tests.
2. 2.2Botany (of a leaf or the cap of a fungus) rolled inward at the edges.
  〔植〕（指叶子或菌盖）内卷的
  Example sentencesExamples
  Distinguishing characteristics are fully double, involute florets that are narrow and pointed.
  They were found to comprise at least three different traits: involute leaves, early flowering, and Apetala flowers.
  This mutant displayed involute leaves and early flowering, although less than clf and icu2 mutants (20 days after sowing).

nounˈɪnvəˌlutˈinvəˌlo͞ot

Geometry

The locus of a point considered as the end of a taut string being unwound from a given curve in the plane of that curve.
〔几何〕渐伸线，切展线。比较EVOLUTE
Compare with evolute
Example sentencesExamples
- Hence a curve has a unique evolute but infinitely many involutes.
- He defines evolutes and involutes of curves and, after giving some elementary properties, finds the evolutes of the cycloid and of the parabola.
- The evolute and the involute of an equiangular spiral is an identical equiangular spiral.
- Since normals to a straight line never intersect and tangents coincide with the curve, evolutes, involutes and pedal curves are not too interesting.
- Both the evolute and involute of a cycloid is an identical cycloid.

verbˈɪnvəˌlutˈinvəˌlo͞ot

[no object]

Become involute; curl up.

Origin

Mid 17th century: from Latin involutus, past participle of involvere (see involve).

词汇	involute
释义	Definition of involute in English: involute adjective ˈɪnvəl(j)uːtˈɪnvəˌlut 1formal Involved or intricate. 〈正式〉棘手的，错综复杂的；纠缠不清的，难以理解的 the art novel has grown increasingly involute 艺术小说变得越来越让人难以理解。 Synonyms complex, complicated, convoluted, tangled, entangled, ravelled, twisted, knotty, maze-like, labyrinthine, winding, serpentine, circuitous, sinuous 2technical Curled spirally. 〈技〉螺旋形卷曲的 2.1Zoology (of a shell) having the whorls wound closely round the axis. 〔动〕（指贝壳）内卷的，内旋的 Example sentencesExamples Although no equatorial sections were recovered, the present specimens exhibit a likely involute initial stage followed by biserial, uncoiled later stage in which chambers are more flattened. They evolved in the Devonian, comprising evolute to involute planispirally coiled conchs quite similar to that of the contemporaneous nautiloids. Most contemporary goniatitids had an involute shell with compressed whorls. In the Anaspidea there is a tendency for parapodia to enlarge and, together with the mantle, to enclose the fragile shell (with increasingly reduced and involute spire). The fundamental structure of the proloculus is the innermost part of the spirally arranged shell; it resembles the involute type of planispirally arranged foraminifera tests. 2.2Botany (of a leaf or the cap of a fungus) rolled inwards at the edges. 〔植〕（指叶子或菌盖）内卷的 Example sentencesExamples Distinguishing characteristics are fully double, involute florets that are narrow and pointed. They were found to comprise at least three different traits: involute leaves, early flowering, and Apetala flowers. This mutant displayed involute leaves and early flowering, although less than clf and icu2 mutants (20 days after sowing). noun ˈɪnvəl(j)uːtˈɪnvəˌlut Geometry The locus of a point considered as the end of a taut string being unwound from a given curve in the plane of that curve. 〔几何〕渐伸线，切展线。比较EVOLUTE Compare with evolute Example sentencesExamples Both the evolute and involute of a cycloid is an identical cycloid. Hence a curve has a unique evolute but infinitely many involutes. Since normals to a straight line never intersect and tangents coincide with the curve, evolutes, involutes and pedal curves are not too interesting. He defines evolutes and involutes of curves and, after giving some elementary properties, finds the evolutes of the cycloid and of the parabola. The evolute and the involute of an equiangular spiral is an identical equiangular spiral. Origin Mid 17th century: from Latin involutus, past participle of involvere (see involve). Definition of involute in US English: involute adjectiveˈɪnvəˌlutˈinvəˌlo͞ot 1formal Involved or intricate. 〈正式〉棘手的，错综复杂的；纠缠不清的，难以理解的 the art novel has grown increasingly involute 艺术小说变得越来越让人难以理解。 Synonyms complex, complicated, convoluted, tangled, entangled, ravelled, twisted, knotty, maze-like, labyrinthine, winding, serpentine, circuitous, sinuous 2technical Curled spirally. 〈技〉螺旋形卷曲的 2.1Zoology (of a shell) having the whorls wound closely around the axis. 〔动〕（指贝壳）内卷的，内旋的 Example sentencesExamples They evolved in the Devonian, comprising evolute to involute planispirally coiled conchs quite similar to that of the contemporaneous nautiloids. Most contemporary goniatitids had an involute shell with compressed whorls. In the Anaspidea there is a tendency for parapodia to enlarge and, together with the mantle, to enclose the fragile shell (with increasingly reduced and involute spire). Although no equatorial sections were recovered, the present specimens exhibit a likely involute initial stage followed by biserial, uncoiled later stage in which chambers are more flattened. The fundamental structure of the proloculus is the innermost part of the spirally arranged shell; it resembles the involute type of planispirally arranged foraminifera tests. 2.2Botany (of a leaf or the cap of a fungus) rolled inward at the edges. 〔植〕（指叶子或菌盖）内卷的 Example sentencesExamples Distinguishing characteristics are fully double, involute florets that are narrow and pointed. They were found to comprise at least three different traits: involute leaves, early flowering, and Apetala flowers. This mutant displayed involute leaves and early flowering, although less than clf and icu2 mutants (20 days after sowing). nounˈɪnvəˌlutˈinvəˌlo͞ot Geometry The locus of a point considered as the end of a taut string being unwound from a given curve in the plane of that curve. 〔几何〕渐伸线，切展线。比较EVOLUTE Compare with evolute Example sentencesExamples Hence a curve has a unique evolute but infinitely many involutes. He defines evolutes and involutes of curves and, after giving some elementary properties, finds the evolutes of the cycloid and of the parabola. The evolute and the involute of an equiangular spiral is an identical equiangular spiral. Since normals to a straight line never intersect and tangents coincide with the curve, evolutes, involutes and pedal curves are not too interesting. Both the evolute and involute of a cycloid is an identical cycloid. verbˈɪnvəˌlutˈinvəˌlo͞ot [no object] Become involute; curl up. Origin Mid 17th century: from Latin involutus, past participle of involvere (see involve).
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