Bilingual edition: English is preserved and Chinese follows each unit. Terminology uses the confirmed v20260916 glossary; automated semantic review remains traceable.
中英双语版:英文原文完整保留,中文紧随对应单元;术语采用 v20260916 确认表,自动语义审校结果可追溯。

Hyperbola

双曲线
A hyperbola is a conic section that meets the condition that the eccentricity e>1. A hyperbola in polar coordinates has the form
双曲线是满足离心率e>1条件的圆锥曲线。在极坐标中,双曲线的形式为
In cartesian coordinates, a hyperbola centered on zero has the form
This describes a pair of symmetric hyperbolas and the asymptotes specified conveniently.
在笛卡尔坐标系中,以原点为中心的双曲线形式为 This 描述了一对对称的双曲线以及方便指定的渐近线。

Another perspective of the formation of a pair of hyperbolas by sectioning the cone parallel to the axis of the cone.

另一种观点是通过平行于锥轴截取圆锥体,可以形成一对双曲线。

Each of the conic sections can be described in terms of a semimajor axis a and an eccentricity e. Representative values for these parameters are shown along with the types of orbits which are associated with them.

每个二次曲线都可以用半长轴a和偏心率e来描述。这些参数的代表性值如图所示,并列出了与之相关的轨道类型。
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