page_title: Conical coordinates
hierarchical_section_title: Conical coordinates
caption_attribution_description: Coordinate surfaces of the orthogonal conical coordinates.
context_page_description: Conical coordinates are a three-dimensional orthogonal coordinate system consisting of
  concentric spheres and by two families of perpendicular cones, aligned along the z- and x-axes, respectively.
context_section_description: Conical coordinates are a three-dimensional orthogonal coordinate system consisting of 
  concentric spheres (described by their radius r) and by two families of perpendicular cones, aligned along the z- and x-axes, respectively.
caption: Coordinate surfaces of the conical coordinates.  The constants b and c were chosen as 1 and 2, respectively.  The red sphere represents r = 2, the blue elliptic cone aligned with the vertical z-axis represents μ=cosh(1) and the yellow elliptic cone aligned with the (green) x-axis corresponds to ν2 = 2/3.  The three surfaces intersect at the point P (shown as a black sphere) with Cartesian coordinates roughly (1.26, -0.78, 1.34).  The elliptic cones intersect the sphere in taco-shaped curves.
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