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Pythagorean theorem (view source)
Revision as of 17:58, February 14, 2021
, 17:58, February 14, 2021→Corollary: No three lines with prime numbers as lengths can form a right triangle: ditto
The conceptualization of the Pythagorean theorem in the case of the three prime numbers, that is using the ''assumption for an indirect proof'' is therefore: ''l''<sub>1</sub><sup>2</sup> + ''l''<sub>2</sub><sup>2</sup> = ''h''<sup>2</sup>.
The conceptualization of the Pythagorean theorem in the case of the three prime numbers, that is using the ''assumption for an indirect proof'' is therefore: ''l''<sub>1</sub><sup>2</sup> + ''l''<sub>2</sub><sup>2</sup> = ''h''<sup>2</sup>.
===Reasoning===
Let's divide one of the two prime number "''h''" factors contained in the "''h''<sup>2</sup> by both sides of the equation:
:(''l''<sub>1</sub><sup>2</sup> / ''h'') + (''l''<sub>2</sub><sup>2</sup> / ''h'') = ''h''
[[Category:Plane Geometry]]
[[Category:Plane Geometry]]
[[Category:Mathematics]]
[[Category:Mathematics]]
[[Category:Geometric Theorems]]
[[Category:Geometric Theorems]]