V2EX involute

Involute

定义 Definition

involute(形容词/名词)
1)(形容词)向内卷曲的、内卷的(常见于植物学、解剖学描述,如叶缘向内卷)。
2)(名词,数学)渐开线(如圆的渐开线,一种由“放开绷紧的线”生成的曲线)。
注:在少数语境中也可作动词,表示“使缠绕/卷入”。

发音 Pronunciation (IPA)

/nvlut/

例句 Examples

The edges of the leaves are involute.
叶子的边缘是向内卷曲的。

In geometry, an involute of a circle can be traced by unwinding a taut string from the circle’s rim.
在几何学中,圆的渐开线可以通过从圆周上“放开一根绷紧的线”来描绘出来。

词源 Etymology

来自拉丁语 involūtus,意为“卷在里面的、包裹着的”,由 **in-**(向内)+ volvere(滚动、卷)构成。这个“向内卷/包裹”的核心意象也解释了它在植物学与数学中的用法:要么是形态向内卷曲,要么是曲线由“卷放”的过程生成。

相关词 Related Words

文献与作品 Notable Works

  • D’Arcy Wentworth Thompson On Growth and Form(《生长与形态》):以形态学语言讨论生物结构与曲线概念,常见相关术语体系。
  • Henry Gray Gray’s Anatomy(《格雷氏解剖学》):解剖学中会用 involute 描述某些结构的“内卷/内折”形态。
  • 经典微积分/解析几何教材(如“渐开线/渐屈线”章节):involute (of a circle) 是标准术语,用于曲线与参数方程的讲解。
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