Projective Line

In mathematics, a projective line is a one-dimensional projective space. The projective line over a field K, denoted P1(K), may be defined as the set of one-dimensional subspaces of the two-dimensional vector space K2 (it does carry other geometric structures).

For the generalisation to the projective line over an associative ring, see inversive ring geometry.

Read more about Projective Line:  Homogeneous Coordinates, Symmetry Group, As Algebraic Curve

Famous quotes containing the word line:

    I fear I agree with your friend in not liking all sermons. Some of them, one has to confess, are rubbish: but then I release my attention from the preacher, and go ahead in any line of thought he may have started: and his after-eloquence acts as a kind of accompaniment—like music while one is reading poetry, which often, to me, adds to the effect.
    Lewis Carroll [Charles Lutwidge Dodgson] (1832–1898)