binormal curve

См. также в других словарях:

• binormal — bī+ noun ( s) Etymology: bi (I) + normal : the normal to a twisted curve at a point of the curve that is perpendicular to the osculating plane of the curve at that point …   Useful english dictionary

• binormal — /buy nawr meuhl, buy nawr /, n. Geom. the normal to a curve, lying perpendicular to the osculating plane at a given point on the curve. [1840 50; BI 1 + NORMAL] * * * …   Universalium

• binormal — noun A line that is at right angles to both the normal and the tangent of a point on a curve and, together with them, forms three cartesian axes …   Wiktionary

• Torsion of a curve — In the elementary differential geometry of curves in three dimensions, the torsion of a curve measures how sharply it is twisting. Taken together,the curvature and the torsion of a space curve are analogous to the curvature of a plane curve. For… …   Wikipedia

• Frenet–Serret formulas — Binormal redirects here. For the category theoretic meaning of this word, see Normal morphism. In vector calculus, the Frenet–Serret formulas describe the kinematic properties of a particle which moves along a continuous, differentiable curve in… …   Wikipedia

• Differential geometry of curves — This article considers only curves in Euclidean space. Most of the notions presented here have analogues for curves in Riemannian and pseudo Riemannian manifolds. For a discussion of curves in an arbitrary topological space, see the main article… …   Wikipedia

• Darboux frame — In the differential geometry of surfaces, a Darboux frame is a natural moving frame constructed on a surface. It is the analog of the Frenet–Serret frame as applied to surface geometry. A Darboux frame exists at any non umbilic point of a surface …   Wikipedia

• Fundamental theorem of curves — In differential geometry, the fundamental theorem of curves states that any regular curve with non zero curvature has its shape (and size) completely determined by its curvature and torsion.A curve can be described, and thereby defined, by a pair …   Wikipedia

• Darboux vector — In differential geometry, especially the theory of space curves, the Darboux vector is the areal velocity vector of the Frenet frame of a space curve. It is named after Gaston Darboux who discovered it. It is also called angular momentum vector,… …   Wikipedia

• Repère de Frenet — En cinématique ou en géométrie différentielle, le repère de Frenet ou repère de Serret Frenet est un outil d étude du comportement local des courbes. Il s agit d un repère local associé à un point P, décrivant une courbe (C). Son mode de… …   Wikipédia en Français

• Spring (mathematics) — In geometry, a spring is a surface of revolution in the shape of a helix with thickness, generated by revolving a circle about the path of a helix. The torus is a special case of the spring obtained when the helix is crushed to a… …   Wikipedia