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词汇 Linear eccentricity
分类 英语词汇 英语翻译词典
释义

Linear eccentricity

中文百科

离心率 Eccentricity (mathematics)

（重定向自Linear eccentricity）
有固定焦点F和准线D的椭圆（e=1/2）、抛物线 (e=1)和双曲线 (e=2)

离心率或称偏心率，是指圆锥曲线上的一点到平面内一定点的距离与到不过此点的一定直线的距离之比。其中此定点称为焦点，而此定直线称为准线。

设一圆锥曲线C由C: d(P,M) = e \cdot d(L,M)定义，其中P为焦点而L为准线（详见主条目圆锥曲线），则此时e称为C的离心率。

英语百科

Eccentricity (mathematics) 离心率

（重定向自Linear eccentricity）
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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