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:
“When I had mapped the pond ... I laid a rule on the map lengthwise, and then breadthwise, and found, to my surprise, that the line of greatest length intersected the line of greatest breadth exactly at the point of greatest depth.”
—Henry David Thoreau (1817–1862)