Assertion: geometry's point | /r/HasProperty | point
Facets:
value: at infinity
type: TEMPORAL
value: under any duality
type: OTHER
Source sentences:
text: Under any duality, the point P is called the pole of the hyperplane P⊥, and this hyperplane is called the polar of the point P. Using this terminology, the absolute points of a polarity are the points that are incident with their polars and the absolute hyperplanes are the hyperplanes that are incident with their poles.
text: The basic intuitions are that projective space has more points than Euclidean space, for a given dimension, and that geometric transformations are permitted that transform the extra points (called "points at infinity") to Euclidean points, and vice versa.
text: Antipodal points are the points formed by the intersection of a sphere and a line that passes through the center of the sphere.