In mathematics, an ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of both distances to the two focal points is a constant. It generalizes a circle, which is …

An ellipse is the locus of a point whose sum of distances from two fixed points is a constant. Its equation is of the form x^2/a^2 + y^2/b^2 = 1, where 'a' is the length of the semi-major axis and 'b' is the length …

Dec 24, 2025 · Ellipse, a closed curve, the intersection of a right circular cone (see cone) and a plane that is not parallel to the base, the axis, or an element of the cone.

An ellipse usually looks like a squashed circle ... F is a focus, G is a focus, and together they are called foci. (pronounced fo-sigh)

6 days ago · The ellipse is a conic section and a Lissajous curve. An ellipse can be specified in the Wolfram Language using Circle [x, y, a, b]. If the endpoints of a segment are moved along two …

Aug 3, 2023 · An ellipse is a closed curved plane formed by a point moving so that the sum of its distance from the two fixed or focal points is always constant. It is formed around two focal points, …

A closed curve consisting of points whose distances from each of two fixed points (foci) all add up to the same value is an ellipse. The midpoint between the foci is the center.

So, what exactly is an ellipse? How do we define its equation mathematically? And what makes it different from a circle or a parabola? An ellipse is the set of all points in a plane such that the sum of …

An ellipse differs from an oval in that an oval, being egg-shaped, is "flatter" on one end than on the other; an ellipse is equally rounded on each of its ends.

Mathematically, an ellipse is a 2D closed curve where the sum of the distances between any point on it and two fixed points, called the focus points (foci for plural) is the same.