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Ordinary Line

Given an arrangement of $n\geq 3$ points, a Line containing just two of them is called an ordinary line. Moser (1958) proved that at least $3n/7$ lines must be ordinary (Guy 1989, p. 903).

See also General Position, Near-Pencil, Ordinary Point, Special Point, Sylvester Graph


Guy, R. K. ``Unsolved Problems Come of Age.'' Amer. Math. Monthly 96, 903-909, 1989.

© 1996-9 Eric W. Weisstein