Conjugate Hyperbolas

conjugate hyperbolas

[′kän·jə·gət hī′pər·bə·ləz]
(mathematics)
Two hyperbolas having the same asymptotes with semiaxes interchanged.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

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).

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.