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Pythagoras's Theorem in Seven Dimensions

From Natural Philosophy Wiki
Scientific Paper
TitlePythagoras's Theorem in Seven Dimensions
Read in fullhttps://www.researchgate.net/publication/322559041_Pythagoras%27s_Theorem_in_Seven_Dimensions
Author(s)David Tombe
Published2018

Abstract

The Pythagorean Trigonometric Identity is a special case of Lagrange’s Identity in three and seven dimensions. As such Pythagoras’s Theorem cannot hold outside of 3D or 7D. It is argued here that it in fact only holds in 3D. https://www.researchgate.net/publication/322559041_Pythagoras's_Theorem_and_Special_Relativity