V2EX conic section

Conic Section

释义 Definition

圆锥曲线:用一个平面去截一个(双)圆锥面时,在截面上形成的曲线的统称。常见类型包括圆(circle)椭圆(ellipse)抛物线(parabola)双曲线(hyperbola)(在更一般的定义下也可包含退化情形)。

发音 Pronunciation (IPA)

/knk skn/

例句 Examples

A circle is a conic section.
圆是一种圆锥曲线。

In analytic geometry, many orbits can be modeled as a conic section with one focus at the central body.
在解析几何中,许多天体轨道可以用圆锥曲线来建模,其中一个焦点位于中心天体处。

词源 Etymology

conic 来自希腊语词根,意为“与圆锥有关的”;section 来自拉丁语 sectio,意为“切割、截取”。合起来字面意思就是“(由圆锥)截出来的曲线”。

相关词 Related Words

文学与名著用例 Literary Works

  • Apollonius, _Conics_(《圆锥曲线论》):系统奠定圆锥曲线理论的重要古典数学著作。
  • Euclid, _Elements_(《几何原本》):相关几何思想与后续圆锥曲线研究有承接关系(常在注释与传统体系中并读)。
  • Johannes Kepler, _Astronomia Nova_(《新天文学》):行星运动与轨道(椭圆等圆锥曲线)模型的经典阐述。
  • René Descartes, _La Géométrie_(《几何学》):解析几何发展推动用代数方法研究圆锥曲线。
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