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:

    The individual woman is required ... a thousand times a day to choose either to accept her appointed role and thereby rescue her good disposition out of the wreckage of her self-respect, or else follow an independent line of behavior and rescue her self-respect out of the wreckage of her good disposition.
    Jeannette Rankin (1880–1973)