Hyperbolic spiral
Hyperbolic Hy`per*bol"ic, Hyperbolical Hy`per*bol"ic*al, a. [L. hyperbolicus, Gr. ?: cf. F. hyperbolique.] 1. (Math.) Belonging to the hyperbola; having the nature of the hyperbola. [1913 Webster]

2. (Rhet.) Relating to, containing, or of the nature of, hyperbole; exaggerating or diminishing beyond the fact; exceeding the truth; as, an hyperbolical expression. ``This hyperbolical epitaph.'' --Fuller. [1913 Webster]

{Hyperbolic functions} (Math.), certain functions which have relations to the hyperbola corresponding to those which sines, cosines, tangents, etc., have to the circle; and hence, called {hyperbolic sines}, {hyperbolic cosines}, etc.

{Hyperbolic logarithm}. See {Logarithm}.

{Hyperbolic spiral} (Math.), a spiral curve, the law of which is, that the distance from the pole to the generating point varies inversely as the angle swept over by the radius vector. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

Look at other dictionaries:

  • Hyperbolic spiral — A hyperbolic spiral is a transcendental plane curve also known as a reciprocal spiral. It has the polar equation r theta; = a , and is the inverse to the Archimedean spiral. It begins at an infinite distance from the pole in the centre (for… …   Wikipedia

  • Hyperbolic — Hy per*bol ic, Hyperbolical Hy per*bol ic*al, a. [L. hyperbolicus, Gr. ?: cf. F. hyperbolique.] 1. (Math.) Belonging to the hyperbola; having the nature of the hyperbola. [1913 Webster] 2. (Rhet.) Relating to, containing, or of the nature of,… …   The Collaborative International Dictionary of English

  • hyperbolic cosines — Hyperbolic Hy per*bol ic, Hyperbolical Hy per*bol ic*al, a. [L. hyperbolicus, Gr. ?: cf. F. hyperbolique.] 1. (Math.) Belonging to the hyperbola; having the nature of the hyperbola. [1913 Webster] 2. (Rhet.) Relating to, containing, or of the… …   The Collaborative International Dictionary of English

  • Hyperbolic functions — Hyperbolic Hy per*bol ic, Hyperbolical Hy per*bol ic*al, a. [L. hyperbolicus, Gr. ?: cf. F. hyperbolique.] 1. (Math.) Belonging to the hyperbola; having the nature of the hyperbola. [1913 Webster] 2. (Rhet.) Relating to, containing, or of the… …   The Collaborative International Dictionary of English

  • Hyperbolic logarithm — Hyperbolic Hy per*bol ic, Hyperbolical Hy per*bol ic*al, a. [L. hyperbolicus, Gr. ?: cf. F. hyperbolique.] 1. (Math.) Belonging to the hyperbola; having the nature of the hyperbola. [1913 Webster] 2. (Rhet.) Relating to, containing, or of the… …   The Collaborative International Dictionary of English

  • hyperbolic sines — Hyperbolic Hy per*bol ic, Hyperbolical Hy per*bol ic*al, a. [L. hyperbolicus, Gr. ?: cf. F. hyperbolique.] 1. (Math.) Belonging to the hyperbola; having the nature of the hyperbola. [1913 Webster] 2. (Rhet.) Relating to, containing, or of the… …   The Collaborative International Dictionary of English

  • Spiral — In mathematics, a spiral is a curve which emanates from a central point, getting progressively farther away as it revolves around the point.piral or helixA spiral and a helix are two terms that are easily confused, but represent different objects …   Wikipedia

  • Spiral bevel gear — A spiral bevel gear is a bevel gear with helical teeth. The main application of this is in a motor vehicle differential, where the direction of the drive carried by the propeller shaft (drive shaft) has to be turned through 90 degrees in order to …   Wikipedia

  • Cotes's spiral — In physics and in the mathematics of plane curves, Cotes s spiral (also written Cotes spiral and Cotes spiral) is a spiral that is typically written in one of three forms where r and θ are the radius and azimuthal angle in a polar coordinate sy …   Wikipedia

  • Archimedean spiral — The Archimedean spiral (also known as the arithmetic spiral) is a spiral named after the 3rd century BC Greek mathematician Archimedes. It is the locus of points corresponding to the locations over time of a point moving away from a fixed point… …   Wikipedia

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