ERIC Number: EJ1122727
Record Type: Journal
Publication Date: 2017
Abstractor: As Provided
A Generalization of the Spherical Inversion
Ramírez, José L.; Rubiano, Gustavo N.
International Journal of Mathematical Education in Science and Technology, v48 n1 p132-149 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 of planes, spheres, ellipsoids and other curves. We use the software "Mathematica" to generate these graphics. Finally, we generalize the Pappus chain theorem to ellipsoids.
Descriptors: Generalization, Transformations (Mathematics), Geometric Concepts, Geometry, Definitions, Mathematical Formulas, Mathematical Logic
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Publication Type: Journal Articles; Reports - Evaluative
Education Level: N/A
Authoring Institution: N/A