Processing math: 100%
Francesco Polizzi
Un blog matematico
18 novembre 2020
Proofs without words 1
Every odd number is the difference of two consecutive squares.
Pick an odd number
n
(in red), "bend it" in the middle and fill the square (with the blue part). In the picture, we see that for
n=13
we obtain
13=7^2-6^2
.
Credits:
MSE question
263101
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