Assertion: ellipse | /r/HasProperty | 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: A circle and an ellipse are sections of a 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 ellipse and oval is that 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 while oval is a shape rather like an egg or an ellipse.
text: (used in printing to indicate an omission) 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 ellipse and eclipse is that 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 while eclipse is (astronomy) an alignment of astronomical objects in which a planetary object (for example, the moon) comes between the sun and another planetary object (for example, the earth), resulting in a shadow being cast by the middle planetary object onto the other planetary object.
text: As nouns the difference between elliptical and ellipse is that elliptical is (astronomy) an elliptical galaxy 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 ellipsoid and ellipse is that ellipsoid is (mathematics) a surface, all of whose cross sections are elliptic or circular (includes the sphere) 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.