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The maximal number of regions into which n lines divide a plane are N(n)=1/2(n^2+n+2) which, for n=1, 2, ... gives 2, 4, 7, 11, 16, 22, ... (OEIS A000124), the same maximal ...

Any geometric correlation which transforms one range into a projectively related pencil (or vice versa).

Lachlan's term for a set of four points, no three of which are collinear.

The three-chord lemma states that in the figure above, l_1+l_2=2lcostheta.

The Trott curve is a simple example of a quartic curve having 28 real bitangents-the maximum possible for a quartic-given by the equation ...

The payment of a debt plus accrued interest by regular payments.

A pair of consecutive numbers.

Two lines in hyperbolic geometry which diverge from each other in both directions.

An archaic term for calculus.

If {f_n} is a sequence of measurable functions, with 0<=f_n<=f_(n+1) for every n, then intlim_(n->infty)f_ndmu=lim_(n->infty)intf_ndmu.