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curiosoperoinutil.com :: Ver Tema - Pregunta 849: ¡Mirad! (J Glez)
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Pregunta 849: ¡Mirad! (J Glez)
http://forum.curiosoperoinutil.com/viewtopic.php?f=10&t=7923
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Autor:  Quin [ Jue 13 Sep 2012, 10:47 ]
Asunto:  Pregunta 849: ¡Mirad! (J Glez)


Autor:  J Glez [ Jue 13 Sep 2012, 13:31 ]
Asunto:  Re: Pregunta 849: ¡Mirad!

La imagen es una demostración del Teorema de Pitágoras.

Considerando a y b los catetos y c la hipotenusa, las superficies del lado izquierdo son:
- 2ab
y
- (a-b)^2 / es decir: a^2 - 2ab + b^2

De manera que la suma de las superficies en la izquierda es: a^2 + b^2
y la superficie en la derecha: c^2

Esta demostración la desarrolló Bhaskara.


Esto ya no lo tengo claro, pero supongo que lo de "¡Mirad!" viene porque es una demostración gráfica.

Autor:  Quin [ Jue 13 Sep 2012, 14:36 ]
Asunto:  Re: Pregunta 849: ¡Mirad!


Autor:  J Glez [ Jue 13 Sep 2012, 17:28 ]
Asunto:  Re: Pregunta 849: ¡Mirad!


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