Definition of hyperbolic sines. Meaning of hyperbolic sines. Synonyms of hyperbolic sines

Here you will find one or more explanations in English for the word hyperbolic sines. Also in the bottom left of the page several parts of wikipedia pages related to the word hyperbolic sines and, of course, hyperbolic sines synonyms and on the right images related to the word hyperbolic sines.

Definition of hyperbolic sines

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. 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. 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.

Meaning of hyperbolic sines from wikipedia

- {\displaystyle \varphi } into a hyperbolic identity, by expanding it completely in terms of integral powers of sines and cosines, changing sine to sinh and cosine...
- mathematics, the inverse hyperbolic functions are the inverse functions of the hyperbolic functions. For a given value of a hyperbolic function, the corresponding...
- treat Cin as the primary function, and derive Ci in terms of Cin. The hyperbolic sine integral is defined as Shi ⁡ ( x ) = ∫ 0 x sinh ⁡ ( t ) t d t . {\displaystyle...
- Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of a triangle (any...
- In mathematics, a hyperbola (listen) (adjective form hyperbolic, listen) (plural hyperbolas, or hyperbolae (listen)) is a type of smooth curve lying in...
- sine table Bhaskara I's sine approximation formula Discrete sine transform Euler's formula Generalized trigonometry Hyperbolic function Law of sines List...
- pants (mathematics) Triangle group For hyperbolic trigonometry: Hyperbolic law of cosines Hyperbolic law of sines Lambert quadrilateral Saccheri quadrilateral...
- The following is a list of integrals (anti-derivative functions) of hyperbolic functions. For a complete list of integral functions, see list of integrals...
- arcschinverse hyperbolic cosecant function. (Also written as arcosech.) arcsecinverse secant function. arcsininverse sine function. arctan –...
- a=\cosh b\cosh c-\sinh b\sinh c\cos A} where sinh and cosh are the hyperbolic sine and cosine, and the second is cos ⁡ A = − cos ⁡ B cos ⁡ C + sin ⁡ B...