space curve
101Frenet–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… …
102Darboux 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,… …
103Osculating circle — Kissing circles redirects here. For Descartes theorem on mutually tangent (kissing) circles, see Descartes theorem. An osculating circle In differential geometry of curves, the osculating circle of a sufficiently smooth plane curve at a given… …
104Schur's theorem — In discrete mathematics, Schur s theorem is either of two different theorems of the mathematician Issai Schur. In differential geometry, Schur s theorem is a theorem of A. Schur. Ramsey theory In Ramsey theory, Schur s theorem states that for any …
105Areal velocity — is the rate at which area is swept out by a particle as it moves along a curve. In many applications, the curve lies in a plane, but in others, it is a space curve.The adjoining figure shows a continuously differentiable curve in blue. At time t …
106Conical surface — A circular conical surface In geometry, a (general) conical surface is the unbounded surface formed by the union of all the straight lines that pass through a fixed point the apex or vertex and any point of some fixed space curve the directrix… …
107Arthur Byron Coble — Infobox Scientist box width = 300px name = Arthur Byron Coble image size = caption = birth date = birth date|1878|11|03 birth place = Williamstown, Pennsylvania death date = death date and age|1966|12|8|1878|11|03 death place = Harrisburg,… …
108Osculating plane — A space curve, Frenet–Serret frame, and the osculating plane (spanned by T and N). In mathematics, particularly in differential geometry, an osculating plane is a plane in a Euclidean space or affine space which meets a submanifold at a point in… …
109Tangent developable — The tangent developable of a space curve gamma(t) is a ruled surface of the form gamma(t)+s gamma^prime(t). Intuitively it is the union of the tangent lines to the curve. A result of Euler states that most developable surfaces can be obtained as… …
110Channel surface — A section of a torus, a special case of a cyclide. The black lines are the two sheets of the focal surface, which here both degenerate to curves. The surface can be generated as envelopes of spheres centered on these lines. A channel or canal… …
