Beck's theorem says that finite collections of points in the plane fall into one of two extremes; one where a large fraction of points lie on a single line, and one where a large number of lines are needed to connect all the points.
Although not mentioned in Beck's paper, this result is implied by the Erdős–Beck theorem.
Famous quotes containing the words beck and/or theorem:
“In front of that sinner of a husband,
she rattled off
only those words
that her pack of vile-tongued girlfriends
taught her
as fast as she could,
and after,
began to behave
at the Love-god’s beck and call.
It’s indescribable,
this natural, charming
path of love,
paved with the gems
of inexperience.”
—Amaru (c. seventh century A.D.)
“To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.”
—Albert Camus (1913–1960)