Assertion: ellipse | /r/DefinedAs | the set of points
Facets:
value: analytically
type: MANNER
value: in analytic geometry
type: OTHER
Source sentences:
text: Analytically, an ellipse is defined as the set of points such that the distance of each point from a given point bears a constant ratio of less than 1 to its distance from a given straight line.
text: Analytically, an ellipse may also be defined as the set of points such that the ratio of the distance of each point on the curve from a given point (called a focus or focal point) to the distance from that same point on the curve to a given line (called the directrix) is a constant.
text: An ellipse is defined as the set of points that satisfies the equation
text: In analytic geometry, the ellipse is defined as the set of points $ (X,Y)
text: An ellipse (or any other conic) can be defined as the set of points \(\mathbf{x} =