There are dozens of proofs for the Pythagoras' theorem, here is one by da Vinci, worthy of his name. This was brought to my attention recently by Dr. Arun Kumar.
Geometrical proofs are about rotating and slipping and sliding pieces about. This is formalised in the relations of similarity, congruence and parallel lines. In this case sliding the right angled triangle to the bottom and rotating it creates a larger figure which is split into 2 parts that rotate or flip into each other. Then you have to sit and spot the corresponding sides to see that the triangle added at the bottom is the identical triangle removed from the top,
@anticorncob6
Geometrical proofs are about rotating and slipping and sliding pieces about. This is formalised in the relations of similarity, congruence and parallel lines. In this case sliding the right angled triangle to the bottom and rotating it creates a larger figure which is split into 2 parts that rotate or flip into each other. Then you have to sit and spot the corresponding sides to see that the triangle added at the bottom is the identical triangle removed from the top,
jehovajah 6 months ago
I don't get it! Someone help he!
anticorncob6 1 year ago
Ligit!
Isgxyshxuakdbc 1 year ago