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Pythagoreans Quotes

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Pythagoreans Quotes

“The Pythagoreans' discovery that there was a relationship between musical intervals and numerical ratios led to the belief that the study of mathematics was the key to the understanding of the structure and order of the universe. Astronomy and harmony, they said, were sister sciences, one for the eyes and one for the ears). However, it was not until two millennia later that Galileo and his successors showed the sense in which it is true that the book of the universe is written in numbers.”

Philosophy Science Music Harmony Mathematics Astronomy Pythagoreans

Book:Ancient Philosophy

Source: Ancient Philosophy

“In the pentagram, the Pythagoreans found all proportions well-known in antiquity: arithmetic, geometric, harmonic, and also the well-known golden proportion, or the golden ratio. ... Probably owing to the perfect form and the wealth of mathematical forms, the pentagram was chosen by the Pythagoreans as their secret symbol and a symbol of health. - Alexander Voloshinov [As quoted in Stakhov]”

Harmony Geometry Golden Ratio History Of Mathematics Sacred Geometry Pythagoreans Pentagram

Book:MATHEMATICS OF HARMONY: FROM EUCLID TO CONTEMPORARY MATHEMATICS AND COMPUTER SCIENCE

Source: MATHEMATICS OF HARMONY: FROM EUCLID TO CONTEMPORARY MATHEMATICS AND COMPUTER SCIENCE

“Kepler followed Proclus and believed that 'the main goal of Euclid was to build a geometric theory of the so-called Platonic solids.' Kepler was fascinated by Proclus and often quotes him calling him a 'Pythagorean'. [History of Mathematics]”

Euclid Kepler History Of Mathematics Sacred Geometry Pythagoreans Platonic Solids Proclus

Author:C. Smoryński

“The Pythagoreans... were fascinated by certain specific ratios, ...The Greeks knew these as the 'golden' proportion and the 'perfect' proportion respectively. They may well have been learned from the Babylonians by Pythagoras himself after having been taken prisoner in Egypt. Ratios lay at the heart of the Pythagorean theory of music.”

Numbers Music Golden Ratio History Of Mathematics Pythagoreans

Book:Numbers: Their History and Meaning

Source: Numbers: Their History and Meaning

“Two sides of every right-triangle form parallel sides when mapped onto an elliptical plane. In such a geometry, all parallel lines cross. - Excerpt from The Three-Sided Path of Pythagoras”

Mathematics Pythagoreans

Author:Anonymous