Via Geometric Algebra: Direction and Distance Between Two Points on a Spherical Earth

Authors: James A. Smith

As a high-school-level example of solving a problem via Geometric (Clifford) Algebra, we show how to calculate the distance and direction between two points on Earth, given the locations' latitudes and longitudes. We validate the results by comparing them to those obtained from online calculators. This example invites a discussion of the benefits of teaching spherical trigonometry (the usual way of solving such problems) at the high-school level versus teaching how to use Geometric Algebra for the same purpose.

Comments: 17 Pages.

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Submission history

[v1] 2019-06-20 19:17:33

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