Assertion: ellipse | /r/HasProperty | curve
Facets:
value: in mathematics
type: OTHER
value: in a plane
type: LOCATION
value: in a place
type: LOCATION
Source sentences:
text: The Ellipse in mathematics is a curve in a place surrounded by two focal points where the sum of distances between two focal points is always constant.
text: An ellipse is the curve described implicitly by an equation of the second degree Ax2 + Bxy
text: An ellipse, sometimes better known as an oval, is a curved shape.
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: In mathematics, an ellipse is a curve in a plane surrounding two focal points such that the sum of the distances to the two focal points is constant for every point on the curve.
text: In mathematics, an ellipse is a curve in a plane surrounding two focal points such that the sum of the distances to the two focal points is constant for every point on the curve.
text: In mathematics, an ellipse (from the Greek for absence) is a curve where the sum of the distances from any point on the curve to two fixed points is constant.
text: In mathematics, an ellipse is a curve on a plane
text: How to prove that it's an ellipse by definition of ellipse (a curve on a plane that surrounds two focal points such that the sum of the distances to the two focal points is constant for every point on the curve) without using trigonometry and standard equation of ellipse?
text: An ellipse is the curve you get if you trace out all the points such that the sum of the distances to the focal points is a constant length: \[ r_1 +