Assertion: ellipse's point | /r/HasProperty | the focus
Facets:
value: in figure
type: LOCATION
value: each
type: MANNER
Source sentences:
text: An ellipse is the affine image of a circle; an ellipse is a non-degenerate conic (i.e. a second-order curve) which does not meet the line at infinity; an ellipse is the set of points whose distances to a given point (the focus) and to a given line (the associated directrix) are in constant ratio; and an ellipse is a planar compact non-singular algebraic curve of the second degree.
text: The fixed point is called Focus, the fixed line is called Directrix, and the ratio of the distance of the tracing point from the focus to its perpendicular distance from the directrix is called eccentricity.
text: In an Ellipse the sum of the distance from the two fixed points (focus) together called Foci to any point on the ellipse is constant.
text: A conic section can be formally defined as a set or locus of a point that moves in the plane of a fixed point called the focus and the fixed line is called the directrix.
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 a verb ellipse is (grammar) to remove from a phrase a word which is grammatically needed, but which is clearly understood without having to be stated. is thatis (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) whileis (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.is thatis (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) whileis (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.(grammar) to remove from a phrase a word which is grammatically needed, but which is clearly understood without having to be stated.
text: As a verb ellipse is (grammar) to remove from a phrase a word which is grammatically needed, but which is clearly understood without having to be stated. is thatis (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) whileis (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.is thatis (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) whileis (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.(grammar) to remove from a phrase a word which is grammatically needed, but which is clearly understood without having to be stated.
text: 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).
text: The ratio is the eccentricity of the curve, the fixed point is the focus, and the fixed line is the directrix.
text: In Figure 8, the fixed point is the focus F or F' and the fixed line is the directrix d or d'.
text: In Figure 11, the fixed point is the focus F (or F') and the fixed line is directrix d (or d').
text: (Distance of any point on ellipse from a fixed point called Focus )/(Distance of the same point from a fixed point called Directrix ) is known as eccentricity , denoted by ‘e’.The eccentricity of the ellipse lies in the range 0 < = e < 1 .
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.
text: Each fixed point is called a focus (plural: foci).
text: The two points are each called a focus.
text: Each fixed point is called a focus (plural: foci).
text: Each fixed point is called a focus (plural: foci).
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.