三角形外接椭圆的面积极值问题

Minimum area of triangle’s circumscribed ellipse

利用数学分析的知识研究了以下问题:任意给定一个三角形A0B0C0,在它的外接椭圆中,面积最小的是哪一个,其面积为多少?本研究利用牛顿法求出了这个问题的数值解.

Mathematical analysis is used to study the issue as follow： For a certain triangle A0B0C0, among its circumscribed ellipses, which has the minimum area？ How much is the minimum area？ This paper gains the numerical solution of the issue by Newton＇s method. Keywords： circumscribed ellipse ; Newton＇s method ; numerical solution