Hyperbolic logarithm

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 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.

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  • Hyperbolic logarithm — Logarithm Log a*rithm (l[o^]g [.a]*r[i^][th] m), n. [Gr. lo gos word, account, proportion + ariqmo s number: cf. F. logarithme.] (Math.) One of a class of auxiliary numbers, devised by John Napier, of Merchiston, Scotland (1550 1617), to abridge… …   The Collaborative International Dictionary of English

  • 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 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

  • 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… …   The Collaborative International Dictionary of English

  • Logarithm — Log a*rithm (l[o^]g [.a]*r[i^][th] m), n. [Gr. lo gos word, account, proportion + ariqmo s number: cf. F. logarithme.] (Math.) One of a class of auxiliary numbers, devised by John Napier, of Merchiston, Scotland (1550 1617), to abridge… …   The Collaborative International Dictionary of English

  • Hyperbolic angle — A hyperbolic angle in standard position is the angle at (0, 0) between the ray to (1, 1) and the ray to ( x , 1/ x ) where x > 1.The magnitude of the hyperbolic angle is the area of the corresponding hyperbolic sector which is loge x .Note that… …   Wikipedia

  • Hyperbolic distribution — Probability distribution name =hyperbolic type =density pdf cdf parameters =mu location (real) alpha (real) eta asymmetry parameter (real) delta scale parameter (real) gamma = sqrt{alpha^2 eta^2} support =x in ( infty; +infty)! pdf… …   Wikipedia

  • Logarithm — The graph of the logarithm to base 2 crosses the x axis (horizontal axis) at 1 and passes through the points with coordinates (2, 1), (4, 2), and (8, 3) …   Wikipedia

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