Assertion: ellipse | /r/HasProperty | the locus of points
Facets:
value: in a plane
type: LOCATION
value: on a plain
type: LOCATION
Source sentences:
text: Ellipse is the locus of points the sum of whose distance to the two given points is constant.
text: Ellipse is the locus of a point P which moves such that the ratio of its distance from the fixed point F to its distance from a fixed line is a constant and is always less than 1.
text: An ellipse is a curve that is the locus of all points in the plane the sum of whose distances and from two fixed points and (the foci) separated by a distance of is a given positive constant (Hilbert and Cohn-Vossen 1999, p. 2).
text: A ellipse is a locus of points in a plane such that the sum of the distances to two fixed points is a constant.
text: An ellipse is a locus of a point which moves in such a way that its distance from a fixed point (focus) to its perpendicular distance from a fixed straight line (directrix) is constant.
text: Ellipse is a locus of all points on a plain, whose sum of distances of two particular points called focuses is the same.
text: An ellipse is the locus of all those points in a plane such that the sum of their distances from two fixed points in the plane is constant.
text: Ellipse is the locus of points whose distances to a fixed point and to a fixed line are in a constant ratio less than $1.$
text: The focal definition of an ellipse is that an ellipse is the locus of points the ratio of whose distances from a fixed line, the directrix, to a fixed point, the focus, is a constant e, called the eccentricity.
text: An ellipse is the locus of points the sum of whose distances from two fixed points, called foci, is a constant.
text: An Ellipse is the locus of a point that moves so that the sum of the distances between the point and two other fixed points is constant.
text: An ellipse is also the locus of all points in the plane whose distances to two fixed points add to the same constant.