n points on 2D-plane. $$$n \ge 3$$$.
Exist three points a,b,c that $$$1 \le \frac{dis(a,b)}{dis(a, c)} \le \frac{n+1}{n-1}$$$.
How to prove that?
An interesting Geometry problem
n points on 2D-plane. $$$n \ge 3$$$.
Exist three points a,b,c that $$$1 \le \frac{dis(a,b)}{dis(a, c)} \le \frac{n+1}{n-1}$$$.
How to prove that?