Assertion: parabola | /r/MadeOf | the intersection of a cone
Facets:
Source sentences:
text: In context|geometry|lang=en terms the difference between parabola and ellipse is that parabola is (geometry) the conic section formed by the intersection of a cone with a plane parallel to a tangent plane to the cone; the locus of points equidistant from a fixed point (the focus) and line (the directrix) while ellipse is (geometry) a closed curve, the locus of a point such that the sum of the distances from that point to two other fixed points (called the foci of the ellipse) is constant; equivalently, the conic section that is the intersection of a cone with a plane that does not intersect the base of the cone.
text: As nouns the difference between parabola and ellipse is that parabola is (geometry) the conic section formed by the intersection of a cone with a plane parallel to a tangent plane to the cone; the locus of points equidistant from a fixed point (the focus) and line (the directrix) while ellipse is (geometry) a closed curve, the locus of a point such that the sum of the distances from that point to two other fixed points (called the foci of the ellipse) is constant; equivalently, the conic section that is the intersection of a cone with a plane that does not intersect the base of the cone.
text: As nouns the difference between parabola and paraboloid is that parabola is (geometry) the conic section formed by the intersection of a cone with a plane parallel to a tangent plane to the cone; the locus of points equidistant from a fixed point (the focus) and line (the directrix) while paraboloid is (mathematics) a surface having a parabolic cross section parallel to an axis, and circular or elliptical cross section perpendicular to the axis; especially the surface of revolution of a parabola.