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Was (wer) ist spheroidal collineation - definition
A BIJECTION FROM ONE PROJECTIVE SPACE TO ANOTHER THAT PRESERVES COLLINEARITY
Collineation group; Automorphic collineation; Colineation group
Collineation
·noun The act of aiming at, or directing in a line with, a fixed object.
Collineation
In projective geometry, a collineation is a one-to-one and onto map (a bijection) from one projective space to another, or from a projective space to itself, such that the images of collinear points are themselves collinear. A collineation is thus an isomorphism between projective spaces, or an automorphism from a projective space to itself.
Oblate spheroidal coordinates
THREE-DIMENSIONAL ORTHOGONAL COORDINATE SYSTEM
Oblate spheroidal harmonics; Oblate spheroidal coordinate system
Oblate spheroidal coordinates are a three-dimensional orthogonal coordinate system that results from rotating the two-dimensional elliptic coordinate system about the non-focal axis of the ellipse, i.e.
Wikipedia
Collineation
In projective geometry, a collineation is a one-to-one and onto map (a bijection) from one projective space to another, or from a projective space to itself, such that the images of collinear points are themselves collinear. A collineation is thus an isomorphism between projective spaces, or an automorphism from a projective space to itself. Some authors restrict the definition of collineation to the case where it is an automorphism. The set of all collineations of a space to itself form a group, called the collineation group.
