Assertion: ellipse's point | /r/AtLocation | plane
Facets:
Source sentences:
text: It may be defined as the path of a point moving in a plane so that the ratio of its distances from a fixed point (the focus) and a fixed straight line (the directrix) is a constant less than one.
text: An ellipse is a figure formed by a point which moves in the plane in such a way that the sum of its distances from two fixed points is constant.
text: The geometric definition of an ellipse is the locus of a point which moves in a plane such that the sum of its distances from the two points called foci add up to a constant(greater than the distance between the said foci).
text: In geometry, an ellipse is a regular oval shape, traced by a point moving in a plane so that the sum of its distances from two other points (the foci) is constant, or resulting when a cone is cut by an oblique plane that does not intersect the base.
text: It may be defined as the path of a point moving in a plane so that the ratio of its distances from a fixed point (the focus) and a fixed straight line (the directrix) is a constant less than one.
text: A parabola is the locus of a point which moves in a plane in such a way that its distance from a fixed point of the plane and from a fixed line of the plane are equal.
text: A circle is a shape consisting of all points in a plane that are a given distance from a given point, the centre; equivalently it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.
text: A hyperbola is the locus of a point which moves in the plane in such a way that the absolute value of the difference of its distances from two fixed points in the plane is constant.