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单词 First eccentricity
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First eccentricity

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Eccentricity (mathematics)

All types of conic sections, arranged with increasing eccentricity. Note that curvature decreases with eccentricity, and that none of these curves intersect.
plane section of a cone
Ellipse and hyperbola with constant a and changing eccentricity e.
Ellipses, hyperbolas with all possible eccentricites from zero to infinity and a parabola on one cubic surface.

In mathematics, the eccentricity, denoted e or \varepsilon, is a parameter associated with every conic section. It can be thought of as a measure of how much the conic section deviates from being circular.

In particular,

Furthermore, two conic sections are similar (identically shaped) if and only if they have the same eccentricity.

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