median
don steward
mathematics teaching 10 ~ 16

Friday, 11 March 2011

James Garfield 'Pythagoras' proof

James Garfield was the 20th president of the USA
for a brief period of time

he worked on a proof of the theorem with colleagues, five years before he became president




his ingenious method involved finding the area of the complete trapezium (trapezoid) then relating this to the sum of the three triangles (two of which are congruent):

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