Assertion: parabola's line | /r/HasProperty | parallel
Facets:
value: to a fixed plane
type: TRANSITIVE-OBJECT
value: to the axis of the parabola
type: LOCATION
Source sentences:
text: The following property determines the points Q 1 , Q 2 {\displaystyle Q_{1},Q_{2}} by two given points and their tangents only, and the result is that the line Q 1 Q 2 {\displaystyle Q_{1}Q_{2}} is parallel to the axis of the parabola.
text: Then the line Q 1 Q 2 {\displaystyle Q_{1}Q_{2}} is parallel to the axis of the parabola and has the equation
text: This can be done with calculus, or by using a line that is parallel to the axis of symmetry of the parabola and passes through the midpoint of the chord.
text: The lines in each family are parallel to a common plane, but not to each other.
text: These properties characterize hyperbolic paraboloids and are used in one of the oldest definitions of hyperbolic paraboloids: a hyperbolic paraboloid is a surface that may be generated by a moving line that is parallel to a fixed plane and crosses two fixed skew lines.