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Line 53: − 3. So let's assign ''o''<sub>1</sub> as being equal to ''l''<sub>1</sub><sup>2</sup> and ''o''<sub>2</sub> as being equal to ''l''<sub>2</sub><sup>2</sup>, to limit them to showing they are natural numbers like the ''n'''s in the "simple assumption": − − :(''o''<sub>1</sub> / ''h'') + (''o''<sub>2</sub> / ''h'') = ''h''. − − ===Conceptualization (cont'd)=== − − The conceptualization of the simple assumption can be expressed as − − :If (''n''<sub>1</sub> / ''f'') + (''n''<sub>2</sub> / ''f'') = ''n''<sub>3</sub> then ''n''<sub>1</sub> and ''n''<sub>2</sub> are not prime.
→Corollary: No three lines with prime numbers as lengths can form a right triangle: removed false trail
2. And since ''l''<sub>1</sub> and ''l''<sub>2</sub> are whole numbers, that which results when they are multiplied by themselves, namely ''l''<sub>1</sub><sup>2</sup> and ''l''<sub>2</sub><sup>2</sup>, certainly are as well.
2. And since ''l''<sub>1</sub> and ''l''<sub>2</sub> are whole numbers, that which results when they are multiplied by themselves, namely ''l''<sub>1</sub><sup>2</sup> and ''l''<sub>2</sub><sup>2</sup>, certainly are as well.
[[Category:Plane Geometry]]
[[Category:Plane Geometry]]
[[Category:Mathematics]]
[[Category:Mathematics]]
[[Category:Geometric Theorems]]
[[Category:Geometric Theorems]]