
1) Differential geometry 2) Geometric curvature center 3) Unfolded
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In the differential geometry of curves, the evolute of a curve is the locus of all its centers of curvature. That is to say that when the center of curvature of each point on a curve is drawn, the resultant shape will be the evolute of that curve. The evolute of a circle is therefore a single point at its center. Equivalently, an evolute is the en...
Found on
http://en.wikipedia.org/wiki/Evolute

unfolded
Found on
http://orchidfetish.com/glossary.html

• (n.) 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. See Involute. It is the locus of the centers of all the circles which are osculatory to the given curve or evolvent.
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http://thinkexist.com/dictionary/meaning/evolute/

The locus of the centers of curvature (the envelope) of a plane curve's normals. The original curve is then said to be the involute of its evolute. For example, the evolute of an ellipse is a Lamé curve and the evolute of a tractrix is a catenary.
Found on
http://www.daviddarling.info/encyclopedia/E/evolute.html

<geometry> 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. See Involute. It is the locus of the centers of all the circles which are osculatory to the given curve or evolvent. ... Any curve may be an evolute, the term being applied to i...
Found on
http://www.encyclo.co.uk/local/20973
Ev'o·lute noun [ Latin
evolutus unrolled, past participle of
evolvere . See
Evolve .]
(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. See
...
Found on http://www.encyclo.co.uk/webster/E/78
unfolded
Found on http://www.orchidspecies.com/glossary.htm
In geometry, an evolute is 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.
Found on http://www.probertencyclopaedia.com/browse/GE.HTM
evolute 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.
Found on http://www.wordinfo.info/words/index/info/view_unit/2323/2
the locus of the centers of curvature of, or the envelope of the normals to, another curve. Cf. involute (def. 5).
Found on https://www.infoplease.com/dictionary/evolute
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