Editing Isosceles triangle (section)

===In other areas of mathematics===
If a [[cubic equation]] with real coefficients has three roots that are not all [[real number]]s, then when these roots are plotted in the [[complex plane]] as an [[Argand diagram]] they form vertices of an isosceles triangle whose axis of symmetry coincides with the horizontal (real) axis. This is because the complex roots are [[complex conjugate]]s and hence are symmetric about the real axis.{{sfnp|Bardell|2016}}

In [[celestial mechanics]], the [[three-body problem]] has been studied in the special case that the three bodies form an isosceles triangle, because assuming that the bodies are arranged in this way reduces the number of [[degrees of freedom]] of the system without reducing it to the solved [[Lagrangian point]] case when the bodies form an equilateral triangle. The first instances of the three-body problem shown to have unbounded oscillations were in the isosceles three-body problem.{{sfnp|Diacu|Holmes|1999}}