V2EX tangency

Tangency

Definition 定义

tangency(名词):相切关系;切触状态。在几何中指直线与曲线(或两条曲线)在某一点接触而不相交的关系。也可引申为“(与主题)略有关联、擦边相关”(较少见)。

Pronunciation 发音

/tndnsi/

Examples 例句

The diagram shows the tangency between the line and the circle.
这张图显示了直线与圆的相切关系。

To prove tangency, we compare the curve’s slope at the contact point with the line’s slope, showing they match exactly.
为了证明相切,我们比较接触点处曲线的斜率与直线的斜率,证明它们完全一致。

Etymology 词源

tangent(切线的)+ 名词后缀 -cy(表示“状态/性质”)构成;tangent 源自拉丁语 tangere,意为“触碰、接触”,因此 tangency 字面即“接触(成切)的状态”。

Related Words 相关词

Literary Works 文学作品

  • Calculus(《微积分》;常见于 James Stewart 等版本的教材中,讨论切线与曲线相切时)
  • Calculus(Michael Spivak,《微积分》;在切线、导数与几何解释相关章节常见)
  • Differential and Integral Calculus(Courant,《微分与积分学》;涉及曲线接触与切线性质的语境常见)
  • Gdel, Escher, Bach: An Eternal Golden Braid(Hofstadter,《哥德尔、艾舍尔、巴赫》;在数学与几何类比讨论中可能出现相关术语)
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