Visual Proofs

bloodredorion:

¼ + 1/16 + 1/64 + 1/256 + … = 1/3


image

 

1/3 + 1/9 + 1/27 + 1/81 + … = ½

image
½ + ¼ + 1/8 + 1/16 + … = 1


image
1 + 2 + 3 + … + n = n * (n+1) / 2


image
1 + 3 + 5 + … + (2n − 1) = n2


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a2 + b2 = c2

image

CITATION ( source) :

Nelsen, R. B. Proofs Without Words: Exercises in Visual Thinking. Washington, DC: Math. Assoc. Amer., 1997.

(via alxndrasplace)

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