unit hyperbola
The unit hyperbola (cf. the unit circle) is the special case
of the hyperbola
where both the and the have equal to 1. The unit hyperbola is rectangular, i.e. its asymptotes () are at right angles to each other.
The unit hyperbola has the well-known parametric
and also a trigonometric
The former yields the rational
when one substitutes , and the latter, via the substitution , the rational
(which does not give the left apex of the hyperbola).
Title | unit hyperbola |
---|---|
Canonical name | UnitHyperbola |
Date of creation | 2015-02-04 11:10:22 |
Last modified on | 2015-02-04 11:10:22 |
Owner | pahio (2872) |
Last modified by | pahio (2872) |
Numerical id | 24 |
Author | pahio (2872) |
Entry type | Definition |
Classification | msc 51N20 |
Related topic | HyperbolicFunctions |
Related topic | AreaFunctions |
Related topic | ConjugateHyperbola |