Let f(n) denote the maximum possible number of right triangles determined by n coplanar points. Show that \lim_{n\rightarrow \infty} \frac{f(n)}{n^2}\equal{}\infty \;\textrm{and}\ \lim_{n\rightarrow \infty}\frac{f(n)}{n^3}\equal{}0 .
P. Erdos limitadvanced fieldsadvanced fields unsolved