Miklos Schweitzer 1966_3
Source:
September 29, 2008
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Problem Statement
Let denote the maximum possible number of right triangles determined by 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