Isoperimetric Triangular Enclosure with a Fixed Angle.
Prosenjit K. Bose, Jean-Lou De Carufel · 2011
Given a set S of n> 2 points in the plane (in general position), we show how to compute in O(n 2) time, a triangle T with maximum (or minimum) area enclosing S among all enclosing triangles with fixed perimeter P and one fixed angle ω. We show that a similar approach can be used to compute a triangle T with maximum (or minimum) perimeter enclosing S among all enclosing triangles with fixed area A and one fixed angle ω.