An Etymological Dictionary of Astronomy and Astrophysics
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فرهنگ ریشه شناختی اخترشناسی-اخترفیزیک

M. Heydari-Malayeri    -    Paris Observatory

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Number of Results: 6 Search : hyperbolic
hyperbolic
  هذلولی   
hozluli (#)

Fr.: hyperbolique   

Of or pertaining to a → hyperbola.

From hyperbol-, → hyperbola, + → -ic.

hyperbolic cosine
  کوسینوس ِ هذلولی   
kosinus-e hozluli

Fr.: cosinus hyperbolique   

A function, denoted cosh x, defined for all real values of x, by the relation: cosh x = (1/2) (ex + e-x).

hyperbolic; → cosine.

hyperbolic function
  کریایِ هذلولی   
karyâ-ye hozluli

Fr.: fonction hyperbolique   

Any of the six functions sinh, cosh, tanh, coth, csch, and sech that are related to the → hyperbola in the same way the → trigonometric functions relate to the → circle. Many of the formulae satisfied by the hyperbolic functions are similar to corresponding formulae for the trigonometric functions, except for + and - signs. For example: cosh2x - sinh2x = 1. See also: → hyperbolic cosine, → hyperbolic sine. Hyperbolic functions were first introduced by the Swiss mathematician Johann Heinrich Lambert (1728-1777).

hyperbolic; → function.

hyperbolic orbit
  مدار ِ هذلولی   
madâr-e hozluli (#)

Fr.: orbite hyperbolique   

An orbit that is an open curve whose ends get wider apart at any rate between that of an ellipse and a straight line. Some comets' orbits become hyperbolic through the gravitational influence of a planet the comet passes near.

hyperbolic; → orbit.

hyperbolic sine
  سینوس ِ هذلولی   
sinus-e hozluli

Fr.: sinus hyperbolique   

A function, denoted cosh x, defined for all real values of x, by the relation: cosh x = (1/2) (ex - e-x).

hyperbolic; → sine.

hyperbolic space
  فضای ِ هذلولی   
fazâ-ye hozluli (#)

Fr.: espace hyperbolique   

A three-dimensional space whose geometry resembles that of a saddle-shaped surface and is said to have negative curvature.

hyperbolic; → space.