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2024-09-16 13:21:52

Colin the Mathmo on Nostr: Facepalm: "The area of the square whose side is the hypotenuse (the side opposite the ...

Facepalm:

"The area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. It is written as a²+b²=c².

"One of the interesting things about this bedrock mathematical equation is that for 2,000 years, no mathematician has been able to demonstrate the truth of it without simply using the equation itself as proof; what is called circular logic, and not accepted as true evidence of proof.

"Johnson and Jackson reference Elisha Loomis’s The Pythagorean Proposition, a book investigating this concept, which flatly states that ‘there are no trigonometric proofs because all the fundamental formulae of trigonometry are themselves based upon the truth of the Pythagorean Theorem,'"

-- https://www.goodnewsnetwork.org/charles-barkley-donates-1-million-to-new-orleans-academy-where-these-teens-solved-pythagoras-theorum/
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