Projective Geometry

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5 domain-specific abstractions whose origin domain is Projective Geometry.

• Circular Points at Infinity — Mark the conjugate complex points (1:i:0) and (1:−i:0) on the projective line at infinity—the common points of every complexified real circle and the projective carriers of Euclidean angle structure.
• Collineation — A bijection of projective spaces that preserves collinearity.
• Klein configuration — A symmetric incidence configuration of sixty points and sixty planes in projective three-space, with fifteen incidences through every point and on every plane.
• Pole and polar — A reciprocal point-line correspondence induced by a nondegenerate conic or quadric that reverses incidence.
• Projectivization — The construction that maps a nonzero vector space, cone or vector bundle to its space of one-dimensional linear subspaces by quotienting nonzero vectors under scalar equivalence.