Pythagoras and Agrippa

Of right triangles and odd squares

If we look at the center of the odd sized squares in Agrippa’s magic squares (Saturn, Mars, Mercury, Moon), we can spot lengths of the sides of right triangles. By extension, this holds for all odd sized squares built in the same way.

3² + 4² = 5²
5² + 12² = 13²
7² + 24² = 25²
9² + 40² = 41²

27² + 364² = 365²

Of magic triangles

Now if we consider the associated right triangles sides length (Saturn, Mars, Mercury & Venus triangles).

3² = 4 + 5
5² = 12 + 13
7² = 24 + 25
9² = 40 + 41

27² = 364 + 365
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