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

The students started researching as part of a school-wide math contest with a challenging bonus question, which asked students to create a new proof for the Pythagorean Theorem, a fundamental ...

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 ...

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 ...

The teacher added a bonus question: to provide a new proof for the Pythagorean theorem using trigonometry, a task previously ...

Two years ago, a couple of high school classmates each composed a mathematical marvel, a trigonometric proof of the Pythagorean theorem. Now, they’re unveiling 10 more. For over 2,000 years ...

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 ...

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.

NPR's Ailsa Chang talks with Regina Barber and Emily Kwong of Short Wave about the oldest known tadpole, new proofs of the Pythagorean Theorem, and the evolutionary roots of alcohol consumption.