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unit hyperbola
The unit hyperbola (cf. the unit circle) is the special case
of the hyperbola
where both the transverse semiaxis and the conjugate semiaxis have length 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 representation
and also a trigonometric representation
The former yields the rational representation
when one substitutes , and the latter, via the substitution , the rational representation
(which does not give the left apex of the hyperbola).
Related:
HyperbolicFunctions, AreaFunctions, ConjugateHyperbola
Major Section:
Reference
Type of Math Object:
Definition
Parent:
Mathematics Subject Classification
51N20 Euclidean analytic geometry- Forums
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