Assertion: geometry's point | /r/HasProperty | incident
Facets:
value: with the line
type: OTHER
value: with the absolute hyperplanes
type: OTHER
value: with their polars
type: OTHER
value: always
type: DEGREE
value: together
type: MANNER
Source sentences:
text: Axioms are statements about these primitives; for example, any two points are together incident with just one line (i.e. that for any two points, there is just one line which passes through both of them).
text: The points in a line are said to be incident with the line.
text: (Finite) linear spaces can be seen as a generalization of projective and affine planes, and more broadly, of 2 − ( v , k , 1 ) {\displaystyle 2-(v,k,1)} block designs, where the requirement that every block contains the same number of points is dropped and the essential structural characteristic is that 2 points are incident with exactly 1 line.
text: Because any two points are always incident with one line, the lines being incident with only two points are not drawn, by convention.
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.