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阿基米德螺线

阿基米德螺旋线(Archimedean spiral),亦称“等速螺线”。当一点P沿动射线OP以等速率运动的同时,这射线又以等角速度绕点O旋转,点P的轨迹称为“阿基米德螺线”。它的极坐标方程为:。这种螺线的每条臂的间距永远相等于

应用

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涡卷式压缩机运转原理

准确地利用阿基米德螺线,可以三等分任意角。但是因为阿基米德螺线无法利用尺规作出,故几何三大难题中的三等份任意角仍然稳坐其宝座。

阿基米德螺线的画法

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  • 一、以适当长度(OA)为半径,画一圆O。
  • 二、作一射线OA。
  • 三、作一点P于射线OA上。
  • 四、模拟点A沿圆O移动,点P沿射线OA移动。
  • 五、画出点P的轨迹。
  • 六、结果。(隐藏圆O、射线OA &点P)




参见

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阿基米德螺线
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