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Ramírez, José L.; Rubiano, Gustavo N. – International Journal of Mathematical Education in Science and Technology, 2017
In the present article, we introduce a generalization of the spherical inversion. In particular, we define an inversion with respect to an ellipsoid, and prove several properties of this new transformation. The inversion in an ellipsoid is the generalization of the elliptic inversion to the three-dimensional space. We also study the inverse images…
Descriptors: Generalization, Transformations (Mathematics), Geometric Concepts, Geometry