Definitions for paraboloid
pəˈræb əˌlɔɪdpa·rab·o·loid

Princeton's WordNetRate this definition:0.0 / 0 votes

1. paraboloidnoun

   a surface having parabolic sections parallel to a single coordinate axis and elliptic sections perpendicular to that axis

WiktionaryRate this definition:0.0 / 0 votes

1. paraboloidnoun

   A surface having a parabolic cross section parallel to an axis, and circular or elliptical cross section perpendicular to the axis; especially the surface of revolution of a parabola.

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

1. Paraboloidnoun

   A paraboliform curve in geometry, whose ordinates are supposed to be in suptriplicate, subquadruplicate, &c. ratio of their respective abscissæ: There is another species; for if you suppose the parameter, multiplied into the square of the abscissa, to be equal to the cube of the ordinate; then the curve is called a semicubical paraboloid. John Harris

   Etymology: παϱαϐολὴ and ἑῖδος.

ChatGPTRate this definition:0.0 / 0 votes

1. paraboloid

   A paraboloid is a three-dimensional geometric shape that is formed by revolving a parabola around an axis. It can be defined mathematically as a set of points in Cartesian coordinates (x, y, z) that satisfy the equation z = x²/a² + y²/b², where a and b are constants. It comes in two forms: elliptic paraboloid which opens up or down and hyperbolic paraboloid which opens up in one direction and down in the other. Paraboloids are commonly used in various fields including physics, mathematics, and engineering.

Webster DictionaryRate this definition:0.0 / 0 votes

1. Paraboloidnoun

   the solid generated by the rotation of a parabola about its axis; any surface of the second order whose sections by planes parallel to a given line are parabolas

2. Etymology: [Parabola + -oid: cf. F. parabolode.]

WikidataRate this definition:0.0 / 0 votes

1. Paraboloid

   In mathematics, a paraboloid is a quadric surface of special kind. There are two kinds of paraboloids: elliptic and hyperbolic. The elliptic paraboloid is shaped like an oval cup and can have a maximum or minimum point. In a suitable coordinate system with three axes, and, it can be represented by the equation where and are constants that dictate the level of curvature in the - and - planes respectively. This is an elliptic paraboloid which opens upward. The hyperbolic paraboloid is a doubly ruled surface shaped like a saddle. In a suitable coordinate system, a hyperbolic paraboloid can be represented by the equation For c>0, this is a hyperbolic paraboloid that opens up along the x-axis and down along the y-axis.

Matched Categories

1. • Plane Figure

Usage in printed sourcesFrom: 

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How to pronounce paraboloid?

1. Alex

   US English

   David

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   Mark

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   Daniel

   British

   Libby

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   Mia

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   Australian

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How to say paraboloid in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of paraboloid in Chaldean Numerology is: 9

2. Pythagorean Numerology

   The numerical value of paraboloid in Pythagorean Numerology is: 3

Popularity rank by frequency of use

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=paraboloid
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Paraboloid
3. ^ Samuel Johnson's Dictionary
   https://johnsonsdictionaryonline.com/views/search.php?term=paraboloid
4. ^ ChatGPT
   https://chat.openai.com
5. ^ Webster Dictionary
   https://www.merriam-webster.com/dictionary/paraboloid
6. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=paraboloid
7. ^ Usage in printed sources
   https://books.google.com/ngrams/graph?content=paraboloid