conjugate hyperbolas [′kän·jə·gət hī′pər·bə·ləz]
Conjugate Hyperbolas
(mathematics)
Two hyperbolas having the same asymptotes with semiaxes interchanged.
Conjugate Hyperbolas
two hyperbolas defined in the same rectangular coordinate system by the equations
and
where a and b have the same values in both equations. Conjugate hyperbolas have the same asymptotes. The transverse and conju-
Figure 1
gate axes of one conjugate hyperbola are, respectively, the conjugate and transverse axes of the other (see Figure I).
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