touching circles

The Pythagorean theorem tells you how beautifully the baby circle is quarter the size of its parents! Check it for yourself.

 

What’s interesting about the triple of consecutive integers 3, 4, 5? Almost anyone knows the answer to that: we have the beautiful relation 32 + 42 = 52, and therefore, as a consequence of the converse of Pythagoras’ theorem, a triangle with sides 3, 4, 5 is right-angled.

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