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Pythagoras invented the Pythagorean theorem: a^2 + b^2 = c^2 where a and b are the two shorter sides in a right triangle and c is the hypotenuse.

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Why did Pythagoras invent the distance formula?

Pythagoras did not directly invent the distance formula as we know it today; rather, he is credited with the Pythagorean theorem, which describes the relationship between the sides of a right triangle. The distance formula, derived from this theorem, calculates the distance between two points in a Cartesian plane. It emerged later as a mathematical application of Pythagorean principles, allowing for the measurement of distance in coordinate geometry. Thus, while Pythagoras laid the groundwork, the formula itself was developed through subsequent advancements in mathematics.


What are the achievements of Pythagoras?

Pythagoras is credited with publishing what is today called the Pythagorean Theorem, which describes the relationships of the sides of a right triangle. Pythagoras did not invent this idea, nor was he first to publish it. The concept was known in at least 7 cultures around the world. A Chinese clay tablet shows the concept being taught in school about 950 years before Pythagoras was born. It shows up in India, Africa, America, Egypt, and elsewhere before the modern name was applied.


Did Pythagoras come up with the musica universalis?

Pythagoras is often credited with the concept of "musica universalis," or the Harmony of the Spheres, which suggests that the movements of celestial bodies produce a form of music based on mathematical ratios. While he did not invent the idea, his philosophical and mathematical insights laid the groundwork for later thinkers to develop it further. The notion reflects Pythagoras's belief in the interconnectedness of mathematics, music, and the cosmos.


Why was Pythagoras reffered to as the Pythagoras of samos?

Pythagoras was called "Pythagoras of Samos" because he was born in Samos.