6 |
Cylindrical Systems |
6.1 Cylindrical coordinates
Cylindrical coordinates are generated by translating in the direction z normal to the (x, y) plane a system of plane polar coordinates (r, φ). Thus, the relation between the Cartesian coordinates (x, y, z) of a point x and its cylindrical coordinates (r, z, φ) are (see Figure 6.1)
(6.1.1) |
The inverse relations are given in Table 6.1. The ranges of variation of the cylindrical coordinates are
(6.1.2) |
The positions φ = 0 and φ = 2π are indistinguishable and φ is undefined ...
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