Page 78 - Intro to Tensor Calculus
P. 78

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                                            Figure 1.3-6. Elliptic coordinates φ = π/4.
























                                               Figure 1.3-7. Bipolar coordinates.

                   The coordinate curves, illustrated in the figure 1.3-7, are formed by the intersection of the coordinate
                   surfaces
                                                                   a 2
                                                             2
                                                         2
                                             (x − a coth v) + y =   2      Cylinders
                                                                 sinh v
                                                                  a 2
                                               2
                                                             2
                                              x +(y − a cot u) =   2      Cylinders
                                                                 sin u
                                                             z = Constant    Planes.
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