pow:problem4s26
Differences
This shows you the differences between two versions of the page.
|
pow:problem4s26 [2026/03/31 14:09] mazur created |
pow:problem4s26 [2026/04/01 02:29] (current) mazur |
||
|---|---|---|---|
| Line 3: | Line 3: | ||
| Let $n>0$ be an odd integer. Prove that there exists a set $S=\{A_1, \ldots, A_{2n}\}$ of $2n$ distinct points in the plane which are not collinear and such that if $i+j\neq 2n+1$ then the line $A_iA_j$ contains a third point from $S$. | Let $n>0$ be an odd integer. Prove that there exists a set $S=\{A_1, \ldots, A_{2n}\}$ of $2n$ distinct points in the plane which are not collinear and such that if $i+j\neq 2n+1$ then the line $A_iA_j$ contains a third point from $S$. | ||
| </box> | </box> | ||
| + | |||
| + | We did not receive any solutions. | ||
| + | For a detailed solution see the following link {{:pow:2026sproblem4.pdf|Solution}}. | ||
pow/problem4s26.1774980563.txt · Last modified: 2026/03/31 14:09 by mazur