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  1. Ellipse - Wikipedia

    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 …

  2. Ellipse - Equation, Formula, Properties, Graphing - Cuemath

    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 …

  3. Ellipse | Definition, Properties & Equations | Britannica

    Mar 19, 2026 · 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.

  4. Ellipse - Math is Fun

    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).

  5. Ellipse -- from Wolfram MathWorld

    Mar 25, 2026 · 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 …

  6. Equations of Ellipses | College Algebra - Lumen Learning

    An ellipse is the set of all points (x, y) in a plane such that the sum of their distances from two fixed points is a constant. Each fixed point is called a focus (plural: foci) of the ellipse.

  7. 12.1: The Ellipse - Mathematics LibreTexts

    Apr 27, 2025 · The key features of the ellipse are its center, vertices, co-vertices, foci, and lengths and positions of the major and minor axes. Just as with other equations, we can identify all of these …

  8. 8.1 The Ellipse - College Algebra 2e | OpenStax

    An ellipse is the set of all points (x, y) (x, y) in a plane such that the sum of their distances from two fixed points is a constant. Each fixed point is called a focus (plural: foci).

  9. Ellipse - Math.net

    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.

  10. Intro to ellipses (video) | Conic sections | Khan Academy

    Learn all about ellipses in this video. The standard form for an ellipse centered at the origin is x²/a² + y²/b² = 1. The semi-major axis is the longest radius and the semi-minor axis is the shortest radius. …