一个Heilbronn型问题的下界

A LOWER BOAND FOR HEILBRONN'S PROBLEM

任意给定平面内七个点,其中任意三点不共线,本文证明了这七点所形成的所有三角形中,最大面积与最小面积之比大于4。

It is proved in this paper that of all the triangles formed by seven arbitrary points given on a plann, of which any three are non-collinear, the ratio of the area of the largest triangle to that of the smallest one is bigger than four.