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词汇 Solid of revolution
分类 英语词汇 英语翻译词典
释义

Solid of revolution

中文百科

旋转体

将一个曲线旋转
圆盘法图示
圆柱壳法图示

在数学和工程学中，旋转体是指平面曲线以同一平面内的一条直线作为旋转轴进行旋转所形成的立体几何图形。

假设曲线和旋转轴不相交，那幺旋转体的体积，等于原曲线所围成平面图形的面积乘以该平面图形的几何中心经过的距离。（参见古尔丁定理）

在中学数学中的圆柱、圆锥、球等图形是较简单的旋转体。

英语百科

Solid of revolution 旋转体

Rotating a curve. The surface formed is a surface of revolution; it encloses a solid of revolution.
Disc integration about the y-axis
Shell integration
Mathematics and art: study of a vase as a solid of revolution by Paolo Uccello. 15th century

In mathematics, engineering, and manufacturing, a solid of revolution is a solid figure obtained by rotating a plane curve around some straight line (the axis) that lies on the same plane.

Assuming that the curve does not cross the axis, the solid's volume is equal to the length of the circle described by the figure's centroid multiplied by the figure's area (Pappus's second centroid Theorem).
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