Spherical systems
Authors:
Abstract
One of these systems or spherical geometries can be considered generally known, although I am not aware that anyone has categorically noted its complete parallelism or equivalence with the geometry of points on a plane. This geometry on the sphere introduces one limiting condition: it deals only with points on a sphere. Therefore, although its points occupy all three dimensions of space, it is essentially the same geometry of two dimensions (that is, of the second order), as is the corresponding geometry on a plane, in which the limitation consists in considering only points lying on a single plane.
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Funding:
None