V2EX normal line

Normal Line

定义 Definition

normal line 常指几何/物理中的法线:在某一点处垂直于曲线的切线垂直于表面的切平面的一条直线。
(在工程语境中也可指“正常线路/常态线路”,但最常见用法是“法线”。)

发音 Pronunciation (IPA)

/nrml lan/

例句 Examples

The normal line is perpendicular to the tangent at that point.
法线在该点与切线垂直。

When light hits the surface, the angle of incidence is measured from the normal line, which helps determine how the ray will reflect or refract.
当光照到表面时,入射角是相对于法线来测量的,这有助于判断光线将如何反射或折射。

词源 Etymology

normal 源自拉丁语 normalis,与 norma(“木工的直角尺、标准”)有关,因此引申出“符合标准的、正交的”。在数学与物理里,normal 常表示“垂直/正交”。line 来自古英语 līn(“线、绳”)。合起来 normal line 即“与某物成直角的线”,也就是“法线”。

相关词 Related Words

文学与名著用例 Literary Works

  • Opticks Isaac Newton(光学中讨论入射角与法线的经典著作)
  • A Treatise on Electricity and Magnetism James Clerk Maxwell(电磁学与场论中常用到法线方向的表述)
  • A Course of Pure Mathematics G. H. Hardy(数学教材中涉及曲线切线与法线的标准术语)
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