Line Segment - As A Degenerate Ellipse

As A Degenerate Ellipse

A line segment can be viewed as a degenerate case of an ellipse in which the semiminor axis goes to zero, the foci go to the end points, and the eccentricity goes to one. As a degenerate orbit this is a radial elliptic trajectory.

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Famous quotes containing the words degenerate and/or ellipse:

    “Our brave forefathers have exterminated all the Indians, and their degenerate children no longer dwell in garrisoned houses nor hear any war-whoop in their path.”
    —Henry David Thoreau (1817–1862)

    “The ellipse is as aimless as that,
    Stretching invisibly into the future so as to reappear
    In our present. Its flexing is its account,
    Return to the point of no return.”
    —John Ashbery (b. 1927)