V2EX parabola

Parabola

定义 Definition

名词 (n.) 抛物线;一种平面曲线,是圆锥曲线的一种,指平面与圆锥面相交且平行于锥面母线时所得到的曲线。在数学和物理学中非常常见。

发音 Pronunciation

/prbl/

例句 Examples

The shape of a parabola can be seen when you throw a ball into the air.
当你把球抛向空中时,可以看到抛物线的形状。

Engineers used the properties of a parabola to design the satellite dish so that all incoming signals would be reflected to a single focal point.
工程师利用抛物线的特性来设计卫星天线,使所有接收到的信号都反射到一个焦点上。

词源 Etymology

源自希腊语 parabolē,意为"并列、比较",由 para-(旁边)和 bolē(投掷)组合而成,字面意思是"抛在旁边"。这个词最初由古希腊数学家阿波罗尼奥斯(Apollonius of Perga)用来命名这条曲线,因为在圆锥截面中,抛物线的截面与锥面的母线"平行"(即"并列")。后经拉丁语传入英语,成为数学术语。值得注意的是,parable(寓言)与此词同源,因为寓言也是一种"比较"。

相关词汇 Related Words

文学与学术作品引用 Literary & Academic References

  • 托马斯品钦(Thomas Pynchon)的小说 Gravity's Rainbow(《万有引力之虹》)中,抛物线是贯穿全书的核心意象,火箭的飞行轨迹呈抛物线形,象征着命运与毁灭。
  • 伽利略(Galileo Galilei)在 Dialogues Concerning Two New Sciences(《关于两门新科学的对话》)中首次证明了抛射体的运动轨迹为抛物线。
  • 阿波罗尼奥斯的 Conics(《圆锥曲线论》)是最早系统研究抛物线的经典数学著作。
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