Assertion: ellipse | /r/DefinedAs | the locus
Facets:
value: of points
type: LOCATION
value: of all points
type: OTHER
value: equivalently
type: MANNER
Source sentences:
text: The ellipse can also be defined as the locus of points whose distance from the focus is proportional to the horizontal distance from a vertical line known as the conic section directrix, where the ratio is .
text: An ellipse can be defined geometrically as a set or locus of points in the Euclidean plane:
text: An ellipse can be defined as the locus of all points that satisfy the equation
text: Ellipse is also defined as the locus of a point which moves such that the sum of its distances from the two fixed points is a constant which is equal to the length of the major axis.
text: An ellipse can be defined as the locus of all points that satisfy the equations
text: An ellipse is defined as the locus of all points such that the sum of the distances from two foci to any point on the ellipse is a constant.
text: Equivalently, it is defined as the locus, or set, of all points such that the sum of the distances from to two fixed foci is a constant.
text: Ellipse is defined as the locus of a point in a plane which moves in a plane in such a manner that the ratio of its distance from a fixed point called focus in the same plane to its distance from a fixed straight line called directrix is always constant, which should always be less than unity.
text: For example, the ellipse can also be defined as the locus of points whose distance ratio from one focus to a straight line (called a directrix) is equal to the eccentricity of the ellipse.
text: The ellipse is defined as the set or locus of all points on a plane the sum of whose distances from two fixed points called Focus is constant.