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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...

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...

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...

\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...

other curves: Logarithmic spirals are congruent to their own involutes, evolutes, and the pedal curves based on their centers. Complex exponential function:...

An ellipse (red) and its evolute (blue). The dots are the vertices of the ellipse, at the points of greatest and least curvature....

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...

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...

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...

Anahoplites). Where it does not cover those preceding, the specimen is said to be evolute (e.g., Dactylioceras). A thin living tube called a siphuncle passed through...

light forces are locked in an eternal battle while being two sides (or evolutes) of the same "Force", the force of time itself (Zurvan)—the prime mover...

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...

(red) and its evolute (blue), the locus of its centers of curvature. The four marked vertices of the ellipse correspond to the four cusps of the evolute....

locus of centers of curvature for each point on the curve comprise the evolute of the curve. This term is generally used in physics regarding the study...

curvature, form another curve, called the evolute of C. Vertices of C correspond to singular points on its evolute. Within any arc of a curve C within which...

Ptychitidae and, Isculitidae. Nannites is very small, subglobose, generally evolute and smooth, with a rounded venter, and simple goniatitic sutures. Treatise...

(into low current density areas). For ideal metal distribution, Zn metal evolutes between 6-14 g/L (0.8-1.9 oz/gal) and NaOH at 120 g/L (16 oz/gal). But...

Mamikon's theorem. The envelope of the normals of the tractrix (that is, the evolute of the tractrix) is the catenary (or chain curve) given by y = a cosh ⁠x/a⁠...

arbitrary dimension Dioptre, a measurement of curvature used in optics Evolute, the locus of the centers of curvature of a given curve Fundamental theorem...