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Oddity

Discovered by Galileo:

\displaystyle \frac{1}{3} = \frac{1 + 3}{5 + 7} = \frac{1 + 3 + 5}{7 + 9 + 11} = \cdots .

A “proof without words” is here.

March 18, 2021March 17, 2021 | Science & Math

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Futility Closet is a collection of entertaining curiosities in history, literature, language, art, philosophy, and mathematics, designed to help you waste time as enjoyably as possible.

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