Definition of Hyperbolic spiral. Meaning of Hyperbolic spiral. Synonyms of Hyperbolic spiral

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

Definition of Hyperbolic spiral

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. 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 spiral from wikipedia

- A hyperbolic spiral is a type of spiral with a pitch angle that increases with distance from its center, unlike the constant angles of logarithmic spirals...
- Archimedean spiral hyperbolic spiral Fermat's spiral lituus logarithmic spiral Cornu spiral spiral of Theodorus Fibonacci Spiral (golden spiral) The involute...
- 4) Example 4 is based on a hyperbolic spiral r ( φ ) = a / φ {\displaystyle \;r(\varphi )=a/\varphi \;} . Such a spiral has an asymptote (black line)...
- logarithmic spirals, Archimedean spirals, or hyperbolic spirals, their pitch angles vary with distance from the galactic center, unlike logarithmic spirals (for...
- 1. Other spirals falling into this group include the hyperbolic spiral (c = −1), Fermat's spiral (c = 2), and the lituus (c = −2). One method of squaring...
- In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just...
- from the center of the spiral. For an Archimedean spiral the angle decreases with the distance, while for a hyperbolic spiral the angle increases with...
- logarithmic spiral. However, spiral arms may also be described as an Archimedean or hyperbolic spiral. In the case of the logarithmic spiral, the pitch...
- spiral, equiangular spiral, or growth spiral is a self-similar spiral curve that often appears in nature. The first to describe a logarithmic spiral was...
- Spirals Archimedean spiral Cornu spiral Cotes' spiral Fermat's spiral Galileo's spiral Hyperbolic spiral Lituus Logarithmic spiral Nielsen's spiral Golden...