Geometry

   

Use Geometric Algebra to Identify the Planes that are Tangent to Three Given Spheres

Authors: James A. Smith

To help fill the need for examples of introductory-level problems that have been solved via Geometric Algebra (GA), we derive the equation for a plane that is tangent to three given planes. The approach that we use determines the unit bivector of the tangent plane from the interior and exterior products of the vectors that connect the centers of the given spheres. A more-general version of this approach is presented in an appendix.

Comments: 14 Pages.

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Submission history

[v1] 2022-10-24 02:40:57

Unique-IP document downloads: 328 times

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