Definition of Evolutes. Meaning of Evolutes. Synonyms of Evolutes

Here you will find one or more explanations in English for the word Evolutes. Also in the bottom left of the page several parts of wikipedia pages related to the word Evolutes and, of course, Evolutes synonyms and on the right images related to the word Evolutes.

Definition of Evolutes

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.

Meaning of Evolutes from wikipedia

- evolute of M. Evolutes are closely connected to involutes: A curve is the evolute of any of its involutes. Apollonius (c. 200 BC) discussed evolutes in...
- aspects. Purusha and prakrti are non-evolutes, they are eternal and unchanging. From the union of these two non-evolutes evolves buddhi (knowing), from buddhi...
- amount of dispersion. As a mathematician, Huygens developed the theory of evolutes and wrote on games of chance and the problem of points in Van Rekeningh...
- 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...
- \varphi +\cos 3\varphi ,3\sin \varphi +\sin 3\varphi )} (see above). The evolute of a curve is the locus of centers of curvature. In detail: For a curve...
- The evolute of a given curve c 0 {\displaystyle c_{0}} consists of the curvature centers of c 0 {\displaystyle c_{0}} . Between involutes and evolutes the...
- other curves: Logarithmic spirals are congruent to their own involutes, evolutes, and the pedal curves based on their centers. Complex exponential function:...
- concept of an evolute as the curve that is "unrolled" (Latin: evolutus) to create a second curve known as the involute. He then uses evolutes to justify...
- of the circle k {\displaystyle k} , one gets a limaçon of Pascal. The evolute of a curve is the locus of centers of curvature. In detail: For a curve...
- y'=p(x)y+q(x)y^{n}.} Jacob Bernoulli also discovered a general method to determine evolutes of a curve as the envelope of its circles of curvature. He also investigated...