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Evolute

Evolute Ev"o*lute, n. [L. evolutus unrolled, p. p. 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 Involute. It is the locus of the centers of all the circles which are osculatory to the given curve or evolvent. Note: Any curve may be an evolute, the term being applied to it only in its relation to the involute.

Evolute Ev"o*lute, n. [L. evolutus unrolled, p. p. 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 Involute. It is the locus of the centers of all the circles which are osculatory to the given curve or evolvent. Note: Any curve may be an evolute, the term being applied to it only in its relation to the involute.

- 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 envelope of

- coiled, evolute and gyroconic s**** in which the sutural element are said to have complex moss-like endings. s**** are generally evolute, with all

- jur****ic (bajocian) to lower cretaceous (barremian) ammonites, commonly with evolute s**** with strong ribbing that typically divides about mid flank before

- overwhelmingly produced planospirally coiled discoidal s**** that may be evolute with inner whorls exposed or involute with only the outer whorl showing

- 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

- like campbelloceras, tarphyceras, and trocholites are tightly coiled, but evolute with all whorls showing. the body chamber of tarphycerids is typically

- always the same length, the green point traces out a nephroid. the evolute of the nephroid is another nephroid half as large and rotated 90 degrees

- used), cubocycloid, and paracycle. it is nearly identical in form to the evolute of an ellipse. if the radius of the fixed circle is a then the equation

- coiled, evolute and gyroconic s**** in which the sutural element are said to have complex moss-like endings. s**** are generally evolute, with all

- jur****ic (bajocian) to lower cretaceous (barremian) ammonites, commonly with evolute s**** with strong ribbing that typically divides about mid flank before

- overwhelmingly produced planospirally coiled discoidal s**** that may be evolute with inner whorls exposed or involute with only the outer whorl showing

- 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

- like campbelloceras, tarphyceras, and trocholites are tightly coiled, but evolute with all whorls showing. the body chamber of tarphycerids is typically

- always the same length, the green point traces out a nephroid. the evolute of the nephroid is another nephroid half as large and rotated 90 degrees

- used), cubocycloid, and paracycle. it is nearly identical in form to the evolute of an ellipse. if the radius of the fixed circle is a then the equation