orthogonal curves

orthogonal curves
мат. ортогональные кривые

Большой англо-русский и русско-английский словарь. 2001.

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  • orthogonal trajectory — Math. the locus of a point whose path cuts each curve of a family of curves at right angles. [1810 20] * * * ▪ mathematics  family of curves that intersect another family of curves at right angles (orthogonal; see figure >). Such families of… …   Universalium

  • orthogonal — adjective Etymology: Middle French, from Latin orthogonius, from Greek orthogōnios, from orth + gōnia angle more at gon Date: 1612 1. a. intersecting or lying at right angles b. having perpendicular slopes or tangents at the point of intersection …   New Collegiate Dictionary

  • Orthogonal trajectory — In mathematics, orthogonal trajectories are a family of curves in the plane that intersect a given family of curves at right angles. The problem is classical, but is now understood by means of complex analysis; see for example harmonic conjugate …   Wikipedia

  • Orthogonal coordinates — In mathematics, orthogonal coordinates are defined as a set of d coordinates q = (q1, q2, ..., qd) in which the coordinate surfaces all meet at right angles (note: superscripts are indices, not exponents). A coordinate surface for a particular… …   Wikipedia

  • orthogonal system — noun : a system of curves or surfaces consisting of two families whose components where they intersect are mutually perpendicular (as the lines of force and the equipotential surfaces in an electrostatic field) …   Useful english dictionary

  • orthogonal trajectory — noun : a mathematical curve which cuts every curve of a given set at right angles * * * Math. the locus of a point whose path cuts each curve of a family of curves at right angles. [1810 20] …   Useful english dictionary

  • 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

  • Dual curve — Curves, dual to each other; see below for properties. In projective geometry, a dual curve of a given plane curve C is a curve in the dual projective plane consisting of the set of lines tangent to C. There is a map from a curve to its dual,… …   Wikipedia

  • Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …   Wikipedia

  • Born coordinates — / ) are time like curves with fixed R .In relativistic physics, the Born coordinate chart is a coordinate chart for (part of) Minkowski spacetime, the flat spacetime of special relativity. It is often used to analyze the physical experience of… …   Wikipedia

  • Curvilinear coordinates — Curvilinear, affine, and Cartesian coordinates in two dimensional space Curvilinear coordinates are a coordinate system for Euclidean space in which the coordinate lines may be curved. These coordinates may be derived from a set of Cartesian… …   Wikipedia


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