Pythagorean proof

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The Pythagorean Proof The Pythagorean theorem was well-known before Pythagoras, but he may have been the first to prove it conclusively. The proof commonly attributed to him is straightforward and relies on a clever rearrangement of shapes. Each large square in the diagram contains four identical triangles, and the only difference between the two squares lies in how these triangles are arranged. Consequently, the empty space within each square must occupy an equal amount of area. By equating this empty space, we can derive the Pythagorean theorem - a fundamental concept in mathematics that is widely accepted today. Historians often attribute the origin of this simple proof to Pythagoras himself, based on the writings of the influential Greek philosopher and mathematician Proclus. While other proofs of this theorem exist, the one commonly known as the Pythagorean proof remains a testament to the ingenuity of ancient mathematicians.