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An ellipse can be defined as the locus of points for each of which the sum of the distances to two given foci is a constant....A parabola can be defined as a limiting case of an ellipse in which one of the foci is a point at
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In an ellipse, the sum of the distances from any point on the ellipse to the two foci is a constant (which is always the length of the
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The line at the end of section 2, "Conics in projective geometry", has all the earmarks of a bad cut-and-paste job.
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the locus of points in which the sum of the distance to a focus, and to a point at infinity, is constant.
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In projective geometry, all conics are equivalent in the sense that every theorem that can be others.
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on
Knowledge. If you would like to participate, please visit the project page, where you can join
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This sentence does not make logical sense and is not grammatically correct in
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Of course it should; although saving the link takes work.
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The definition of a parabola that follows from this is
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be is a different story. I'll rephrase the sentence.--
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