Sublime

Pythagoras, as everyone knows, said that “all things are numbers.” This statement, interpreted in a modern way, is logically nonsense, but what he meant was not exactly nonsense. He discovered the importance of numbers in music, and the connection which he established between music and arithmetic survives in the mathematical terms “ harmonic mean”

Pythagoras, having a vague conception of the Supreme Being, disdained the local worships; and this was sufficient to cause him to reject the old modes of government, and to attempt to found a new order of society.

The importance of the golden ratio comes from a Pythagorean discovery that is now barely remembered. In modern schools, children learn of Pythagoras for his famed theorem: the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. However, this was in fact ancient news. It was known more than 1,000

In the society that he founded, men and women were admitted on equal terms; property was held in common, and there was a common way of life. Even scientific and mathematical discoveries were deemed collective, and in a mystical sense due to Pythagoras even after his death.

The ratio of height to length of this shape is 153:265, a formula known to Archimedes in the third century BCE as the 'measure of the fish'. It is a powerful mathematical tool, being the nearest whole number approximation of the square root of three and the controlling ratio of the equilateral triangle.

cleverest observer. Consider

Pythagoreans, who were renowned in the ancient world for their knowledge of mathematics, conceived of God as a perfect sphere.[122] The ancients discovered that if a sphere is surrounded by others of exactly the same dimensions, so that all the spheres are in contact with each other, the central sphere will be surrounded by exactly 12 others.[

CHAPTER III Pythagoras