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 said: “A line will take us hours maybe;
Yet if it does not seem a moment’s thought,
Our stitching and unstitching has been naught.”
—William Butler Yeats (1865–1939)