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:
“Next to the originator of a good sentence is the first quoter of it. Many will read the book before one thinks of quoting a passage. As soon as he has done this, that line will be quoted east and west.”
—Ralph Waldo Emerson (18031882)
Related Phrases
Related Words