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  2. Eccentricity (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Eccentricity_(mathematics)

    For example, on a triaxial ellipsoid, the meridional eccentricity is that of the ellipse formed by a section containing both the longest and the shortest axes (one of which will be the polar axis), and the equatorial eccentricity is the eccentricity of the ellipse formed by a section through the centre, perpendicular to the polar axis (i.e. in ...

  3. Angular eccentricity - Wikipedia

    en.wikipedia.org/wiki/Angular_eccentricity

    Angular eccentricity is one of many parameters which arise in the study of the ellipse or ellipsoid. It is denoted here by α (alpha). It is denoted here by α (alpha). It may be defined in terms of the eccentricity , e , or the aspect ratio, b/a (the ratio of the semi-minor axis and the semi-major axis ):

  4. Eccentricity - Wikipedia

    en.wikipedia.org/wiki/Eccentricity

    Horizontal eccentricity, in vision, degrees of visual angle from the center of the eye; Eccentric contraction, the lengthening of muscle fibers; Eccentric position of a surveying tripod, to be able to measure hidden points; Eccentric training, the motion of an active muscle while it is lengthening under load; Eccentricity, a deviation from ...

  5. Eccentric anomaly - Wikipedia

    en.wikipedia.org/wiki/Eccentric_anomaly

    In orbital mechanics, the eccentric anomaly is an angular parameter that defines the position of a body that is moving along an elliptic Kepler orbit.The eccentric anomaly is one of three angular parameters ("anomalies") that define a position along an orbit, the other two being the true anomaly and the mean anomaly.

  6. Focus (geometry) - Wikipedia

    en.wikipedia.org/wiki/Focus_(geometry)

    The case H = 0 can be eliminated as degenerate, so the tangential equation of C can be written as P + fQ = 0 where f is an arbitrary polynomial of degree 2m. [1] For example, let m = 2, P 1 = (1, 0), and P 2 = (−1, 0). The tangential equations are + = = so P = X 2 − 1 = 0. The tangential equations for the circular points at infinity are

  7. Distance (graph theory) - Wikipedia

    en.wikipedia.org/wiki/Distance_(graph_theory)

    The eccentricity ϵ(v) of a vertex v is the greatest distance between v and any other vertex; in symbols, = (,). It can be thought of as how far a node is from the node most distant from it in the graph. The radius r of a graph is the minimum eccentricity of any vertex or, in symbols,

  8. Orbital eccentricity - Wikipedia

    en.wikipedia.org/wiki/Orbital_eccentricity

    For elliptical orbits, a simple proof shows that ⁡ gives the projection angle of a perfect circle to an ellipse of eccentricity e. For example, to view the eccentricity of the planet Mercury (e = 0.2056), one must simply calculate the inverse sine to find the projection angle of 11.86 degrees. Then, tilting any circular object by that angle ...

  9. Graph center - Wikipedia

    en.wikipedia.org/wiki/Graph_center

    The center (or Jordan center [1]) of a graph is the set of all vertices of minimum eccentricity, [2] that is, the set of all vertices u where the greatest distance d(u,v) to other vertices v is minimal. Equivalently, it is the set of vertices with eccentricity equal to the graph's radius. [3]