However, the new proofs aren’t circular, according to the study. “None of the theorems we use in our proofs … have already assumed the Pythagorean theorem to be true,” the authors wrote in ...

According to CBS affiliate WWL-TV, St. Mary's Academy students Calcea Johnson and Ne'Kiya Jackson believe they have found a new proof for Pythagorean Theorem that uses trigonometry without ...

Bill Whitaker: So tell me, what was this bonus question? Calcea Johnson: It was to create a new proof of the Pythagorean Theorem. And it kind of gave you a few guidelines on how would you start a ...

Some “natural” logics preserve the “constructive” nature of the existential quantifier and thus guarantee the existence of ...

Their work joins a handful of other trigonometric proofs that were added to the mathematical archives over the years. Each sidestepped “circular logic” to prove the pivotal theorem.

These proofs come from several branches of mathematics, but the most comprehensive collection of them claims none come from trigonometry, which has taken the theorem as one of its starting points.

In 2022, two high school students created a trigonometric proof of the Pythagorean Theorem—something that’s only ever been accomplished by a few professional mathematicians. Now, a new article ...