For centuries, students have learned that in a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides. Known as the Pythagorean Theorem, this ...

Additionally, their method for discovering new proofs is limited to creating triangles with angles that are specific combinations of the original triangle’s angles.

In one of their proofs, the two students took the definition of calculating with triangles to its extreme by filling one larger triangle with sequences of smaller triangles and using calculus to ...