User:Tet-Math2/sandbox

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Revision as of 01:04, 28 April 2024
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<big>These equations were derived from 4 relationships that hide inside Tri-Rectangular Tetrahedrons. I'm astonished that I have never seen any of them in the textbooks I studied when I was in college. Just in case somebody else needs them here they are.</big><big>These equations were derived from 4 relationships that hide inside Tri-Rectangular Tetrahedrons. I'm astonished that I have never seen any of them in the textbooks I studied when I was in college. Just in case somebody else needs them here they are.</big>
= <small><math>S\ \ =\ \biggl(\frac{\ a^2+b^2+c^2\ }{2}\biggr)=\ \Bigl(a^2+z^2\Bigr)\ =\ \Bigl(b^2+y^2\Bigr)\ =\ \Bigl(c^2+x^2\Bigr) </math></small> == <small><math>S=\biggl(\frac{\ a^2+b^2+c^2\ }{2}\biggr)=\Bigl(x^2+y^2+z^2\Bigr)=\Bigl(a^2+z^2\Bigr)=\Bigl(b^2+y^2\Bigr)=\Bigl(c^2+x^2\Bigr)
</math></small> =
[[File:Tetrahedron xyz from abc.png|thumb|421x421px]][[File:Tetrahedron xyz from abc.png|thumb|421x421px]]

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