Question

A good starting point is to explore the life of Pythagoras and his contribution to the world of mathematics, and one part of his life or his discoveries. supported with a detailed example.

Answer 1

Pythagoras is most illustrious for his construct of pure mathematics. it's believed that he was initially to ascertain that the addition of the angles of a triangle is adequate to 2 right angles which for a triangle the sq. on the flank is equal to the sum of the squares on the opposite two sides.

Although the latter theorem was already discovered by the Babylonians, the mathematician was initial to prove it. it's additionally believed that he devised the tetractys, the triangular figure of 4 rows that add up to 10, that according to him, was the proper range.

Pythagoras additionally discovered that musical notes might be translated into mathematical equations was once he passed blacksmiths at work someday and thought that the sounds emanating from their anvils were stunning and harmonious and determined that no matter scientific law caused this to happen should be mathematical and will be applied to music. He visited the blacksmiths to find out however the sounds were made by observing their tools. He discovered that it had been as a result of the hammers were "simple ratios of every different, one was 0.5 the scale of the primary, another was 2/3 the scale, and then on".

This legend has since proved to be false by virtue of the very fact that these ratios are solely relevant to string length (such because the string of a monochord), and to not hammer weight.

However, it should be that mathematician was so to blame for discovering the properties of string length.

Pythagoreans careful on a theory of numbers, the precise that means of that remains debated among students. Another belief attributed to mathematician was that of the "harmony of the spheres". so the planets and stars emotional in keeping with mathematical equations, that corresponded to musical notes and so made a symphony.