General Mathematics

   

Polinomial Natural Solution of the Pythagorean Equation
Solución Natural Polinómica de la Ecuación Pitagórica

Authors: Carlos Alejandro Chiappini

While unsuccessfully playing with the last Fermat's theorem I noticed that this way of playing, applied to the Pythagorean equation a²+b²=c², leads to a polynomial general natural solution. The game combines arithmetic, common sense and logic. It is a bit like teaching and learning mathematical and geometric subjects with the help of colorful manipulatives, as is done at the most elementary levels of teaching. The only thing different in the adult experience is operating with mentally conceived objects. The way of operating with them does not change.

Mientras jugaba sin éxito con el UTF noté que esa manera de jugar, aplicada a la ecuación pitagórica a²+b²=c² , conduce a una solución natural general polinómica. El juego combina aritmética, sentido común y lógica. Se parece un poco a enseñar y aprender asuntos matemáticos y geométricos con ayuda de objetos manipulables coloridos, como se hace en los niveles más elementales de la enseñanza. Lo único distinto en la experiencia adulta es operar con objetos concebidos mentalmente. La manera de operar con ellos no cambia.

Comments: 5 Pages. carloschiappini@gmail.com

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Submission history

[v1] 2023-03-03 02:36:29

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