... for about 4,000 years and has been the most efficient way of making calculations and fundamental observations and measures about things, since the beginning of its creation. Basic arithmetic and geometry formed the basis of what the mathematical world had to offer at its very beginnings. The very first founders of mathematics with the most basic concepts and ideas were the ... was able to come up with a great change within the geometric division of mathematics. As mentioned in the Stanford Encyclopedia, "Pythagoras is said to have transformed the philosophy of geometry into a form of li...

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• Approx Pages: 4
• Grade Level: Undergraduate

... generally credited with the theory of the functional significance of numbers in the objective world and in music. His followers are credited with the development of the Pythagorean theorem in geometry and the application of number relationships to music theory, acoustics, and astronomy. His Pythagorean brotherhood's beliefs and ideas were rediscovered during the Renaissance and contributed to the development of mathematics ... . The mathematikoi lived permanently with the Society, had no personal possessions and were vegetarians. They were taught by Pythagoras himself and obeyed strict r...

• Word Count: 389
• Approx Pages: 2
• Grade Level: Undergraduate

... of number, which became for them the ultimate principle of all proportion, order, and harmony in the universe. Through these studies they established a scientific foundation for mathematics, for example in geometry the great discovery of the school was the hypotenuse theorem, or Pythagoras' theorem. (see below) PYTHAGORAS' THEOREM:- Pythagoras' Theorem is a formula stating that the square of the hypotenuse of a right ... ...

• Word Count: 379
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• Grade Level: Undergraduate

... size produce different harmonic ratios. (Ferrara, 1991). Analyzing the different ratios, Pythagoras began defining different musical pitches based on bell diameter and density. Based on Pythagorean harmonic relationships and Pythagorean geometry, bell-makers began constructing bells with the principal pitch prime tone, and hum tones consisting of a fourth, a fifth, and the octave. (Johnston, 1989). Ironically or coincidentally, these tones were all ... ...

• Word Count: 1354
• Approx Pages: 5
• Has Bibliography
• Grade Level: Undergraduate