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单词 Bipolar cylindrical coordinates
释义

Bipolar cylindrical coordinates

中文百科

双极圆柱坐标系

双极圆柱坐标系是一种三维正交坐标系。往 z-轴方向延伸二维的双极坐标系 ,则可得到双极圆柱坐标系。双极坐标系的两个焦点 F_{1}F_{2} ,其直角坐标 (x,\ y) 分别设置为 ( - a,\ 0)(a,\ 0) 。延伸至三维空间,这两个焦点分别变成两条直线,L_{1}L_{2} ,称为焦线

英语百科

Bipolar cylindrical coordinates 双极圆柱坐标系

Coordinate surfaces of the bipolar cylindrical coordinates.  The yellow crescent corresponds to σ, whereas the red tube corresponds to τ and the blue plane corresponds to z=1.  The three surfaces intersect at the point P (shown as a black sphere).

Bipolar cylindrical coordinates are a three-dimensional orthogonal coordinate system that results from projecting the two-dimensional bipolar coordinate system in the perpendicular z-direction. The two lines of foci F_{1} and F_{2} of the projected Apollonian circles are generally taken to be defined by x=-a and x=+a, respectively, (and by y=0) in the Cartesian coordinate system.

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更新时间:2025/6/23 20:14:56