Definitions
from The American Heritage® Dictionary of the English Language, 5th Edition.
- noun The locus of the centers of curvature of a given curve.
from The Century Dictionary.
- Evolved; developed: as, an evolute curve.
- noun In mathematics, a curve which is the locus of the center of curvature of another curve, or the envelop of the normals to the latter.
from the GNU version of the Collaborative International Dictionary of English.
- noun (Geom.) A curve from which another curve, called the involute or
evolvent , is described by the end of a thread gradually wound upon the former, or unwound from it. Seeinvolute . It is the locus of the centers of all the circles which are osculatory to the given curve or evolvent.
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun A
curve comprising thecenters of curvature of another curve.
Etymologies
from The American Heritage® Dictionary of the English Language, 4th Edition
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Examples
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From evolution we get evolute, which has technical meanings as a noun in mathematics and as an adjective in botany, but as a verb meaning the same as evolve, it is a needless variant.
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From evolution we get evolute, which has technical meanings as a noun in mathematics and as an adjective in botany, but as a verb meaning the same as evolve, it is a needless variant.
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This result suggests a natural family of maps as discussed above: map each spectral component at one time to its unique (continuous) evolute at later times.
Modal Interpretations of Quantum Mechanics Dickson, Michael 2007
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Of course not; even the word evolve will evolve, or evolute.
No Uncertain Terms William Safire 2003
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Of course not; even the word evolve will evolve, or evolute.
No Uncertain Terms William Safire 2003
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Of course not; even the word evolve will evolve, or evolute.
No Uncertain Terms William Safire 2003
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Of course not; even the word evolve will evolve, or evolute.
No Uncertain Terms William Safire 2003
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From the evolute, draw the line SF, and parallel to it, draw TW; then EW is the latitude of the point F on the surface of the spheroid.
Outlines of a Mechanical Theory of Storms Containing the True Law of Lunar Influence T. Bassnett
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It will at once be seen that E_z_ is less than D_x_, and that since the normal at P is vertical and infinite, the evolute of DPE will consist of two branches _x_N, _z_M, to which the vertical normal PL is a common asymptote.
Scientific American Supplement, No. 595, May 28, 1887 Various
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This point evidently lies upon the branch _z_M of the evolute in Fig. 23.
Scientific American Supplement, No. 595, May 28, 1887 Various
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