Editing Hyperbola (section)

===Other properties===
* The following are [[concurrent lines|concurrent]]: (1) a circle passing through the hyperbola's foci and centered at the hyperbola's center; (2) either of the lines that are tangent to the hyperbola at the vertices; and (3) either of the asymptotes of the hyperbola.<ref name=web4>{{cite web |title=Hyperbola |website=Mathafou.free.fr |url=http://mathafou.free.fr/themes_en/hyperb.html |access-date=26 August 2018 |url-status=dead |archive-url=https://web.archive.org/web/20160304061843/http://mathafou.free.fr/themes_en/hyperb.html |archive-date=4 March 2016}}</ref><ref name="web1">{{cite web |title=Properties of a Hyperbola |url=http://www.ul.ie/~rynnet/swconics/HP%27s.htm |access-date=2011-06-22 |url-status=dead |archive-url=https://web.archive.org/web/20170202180210/http://www3.ul.ie/~rynnet/swconics/HP's.htm |archive-date=2017-02-02}}</ref>
* The following are also concurrent: (1) the circle that is centered at the hyperbola's center and that passes through the hyperbola's vertices; (2) either directrix; and (3) either of the asymptotes.<ref name=web1/>
* Since both the transverse axis and the conjugate axis are axes of symmetry, the [[symmetry group]] of a hyperbola is the [[Klein four-group]].
* The rectangular hyperbolas ''xy'' = [[constant (mathematics)|constant]] admit [[group action]]s by [[squeeze mapping]]s which have the hyperbolas as [[invariant set]]s.