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
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“Expediency of literature, reason of literature, lawfulness of writing down a thought, is questioned; much is to say on both sides, and, while the fight waxes hot, thou, dearest scholar, stick to thy foolish task, add a line every hour, and between whiles add a line.”
—Ralph Waldo Emerson (1803–1882)