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:
“Where were you when I laid the foundation of the earth? Tell me, if you have understanding. Who determined its measurements—surely you know! Or who stretched the line upon it? On what were its bases sunk, or who laid its cornerstone when the morning stars sang together and all the heavenly beings shouted for joy?”
—Bible: Hebrew, Job 38:4 -7.
God, to Job.