Generalised vector products and metrical trigonometry of a tetrahedron
Metric Geometry
2021-08-17 v3 History and Overview
Abstract
We study the general rational trigonometry of a tetrahedron, based on quadrances, spreads and solid spreads, using vector products associated to an arbitrary symmetric bilinear form over a general field, not of characteristic two. This gives us algebraic analogs of many classical formulas, as well as new insights and results. In particular we derive original relations for a tri-rectangular tetrahedron.
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Cite
@article{arxiv.1909.08814,
title = {Generalised vector products and metrical trigonometry of a tetrahedron},
author = {Gennady A Notowidigdo and Norman J Wildberger},
journal= {arXiv preprint arXiv:1909.08814},
year = {2021}
}
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26 pages