Pythagoras's Theorem in Seven Dimensions: Difference between revisions
Pythagoras's Theorem in Seven Dimensions |
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{{Infobox paper | |||
| title = Pythagoras's Theorem in Seven Dimensions | |||
| author = [[David Tombe]] | |||
| published = 2018 | |||
| url = https://www.researchgate.net/publication/322559041_Pythagoras%27s_Theorem_in_Seven_Dimensions | |||
}} | |||
==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. | 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 | https://www.researchgate.net/publication/322559041_Pythagoras's_Theorem_and_Special_Relativity | ||
[[Category:Scientific Paper|pythagoras's theorem in seven dimensions]] | |||
[[Category:Relativity|pythagoras's theorem in seven dimensions]] | |||
Latest revision as of 07:06, 22 July 2026
| Scientific Paper | |
|---|---|
| Title | Pythagoras's Theorem in Seven Dimensions |
| Read in full | https://www.researchgate.net/publication/322559041_Pythagoras%27s_Theorem_in_Seven_Dimensions |
| Author(s) | David Tombe |
| Published | 2018 |
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