Definitions for curvilinear
ˌkɜr vəˈlɪn i ərcurvi·lin·ear

Princeton's WordNetRate this definition:0.0 / 0 votes

1. curvilineal, curvilinearadjective

   characterized by or following a curved line

   "curvilinear tracery"; "curvilinear motion"

WiktionaryRate this definition:0.0 / 0 votes

1. curvilinearadjective

   Having bends; curved; curvilineal.

2. curvilinearadjective

   Formed by curved lines.

Samuel Johnson's DictionaryRate this definition:0.0 / 0 votes

1. Curvilinearadjective

   Etymology: curvus and linea, Lat.

   1. Consisting of a crooked line.

   The impulse continually draws the celestial body from its rectilinear motion, and forces it into a curvilinear orbit; so that it must be repeated every minute of time. George Cheyne.

   2. Composed of crooked lines.

WikipediaRate this definition:0.0 / 0 votes

1. curvilinear

   In geometry, 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 coordinates by using a transformation that is locally invertible (a one-to-one map) at each point. This means that one can convert a point given in a Cartesian coordinate system to its curvilinear coordinates and back. The name curvilinear coordinates, coined by the French mathematician Lamé, derives from the fact that the coordinate surfaces of the curvilinear systems are curved. Well-known examples of curvilinear coordinate systems in three-dimensional Euclidean space (R3) are cylindrical and spherical coordinates. A Cartesian coordinate surface in this space is a coordinate plane; for example z = 0 defines the x-y plane. In the same space, the coordinate surface r = 1 in spherical coordinates is the surface of a unit sphere, which is curved. The formalism of curvilinear coordinates provides a unified and general description of the standard coordinate systems. Curvilinear coordinates are often used to define the location or distribution of physical quantities which may be, for example, scalars, vectors, or tensors. Mathematical expressions involving these quantities in vector calculus and tensor analysis (such as the gradient, divergence, curl, and Laplacian) can be transformed from one coordinate system to another, according to transformation rules for scalars, vectors, and tensors. Such expressions then become valid for any curvilinear coordinate system. A curvilinear coordinate system may be simpler to use than the Cartesian coordinate system for some applications. The motion of particles under the influence of central forces is usually easier to solve in spherical coordinates than in Cartesian coordinates; this is true of many physical problems with spherical symmetry defined in R3. Equations with boundary conditions that follow coordinate surfaces for a particular curvilinear coordinate system may be easier to solve in that system. While one might describe the motion of a particle in a rectangular box using Cartesian coordinates, it's easier to describe the motion in a sphere with spherical coordinates. Spherical coordinates are the most common curvilinear coordinate systems and are used in Earth sciences, cartography, quantum mechanics, relativity, and engineering.

ChatGPTRate this definition:0.0 / 0 votes

1. curvilinear

   Curvilinear refers to anything that is characterized by, or follows along, curved or intersecting lines. It is most commonly used in the fields of geometry, art, and design to describe shapes, paths, or trajectories that are not straight or angular.

Webster DictionaryRate this definition:0.0 / 0 votes

1. Curvilinearadjective

   consisting of, or bounded by, curved lines; as, a curvilinear figure

2. Etymology: [L. curvus bent + E. lineal, linear.]

Chambers 20th Century DictionaryRate this definition:0.0 / 0 votes

1. Curvilinear

   kur-vi-lin′i-ar, Curvilineal, kur-vi-lin′i-al, adj. bounded by curved lines.—n. Curvilinear′ity. [L. curvus, and linearis—linea, a line.]

How to pronounce curvilinear?

1. Alex

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How to say curvilinear in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of curvilinear in Chaldean Numerology is: 8

2. Pythagorean Numerology

   The numerical value of curvilinear in Pythagorean Numerology is: 6

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References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=curvilinear
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Curvilinear
3. ^ Samuel Johnson's Dictionary
   https://johnsonsdictionaryonline.com/views/search.php?term=curvilinear
4. ^ Wikipedia
   https://en.wikipedia.org/wiki/Curvilinear
5. ^ ChatGPT
   https://chat.openai.com
6. ^ Webster Dictionary
   https://www.merriam-webster.com/dictionary/curvilinear
7. ^ Chambers 20th Century Dictionary
   https://www.gutenberg.org/files/37683/37683-h/37683-h.htm#:~:text=curvilinear