Golden-ratio Quote by Graham Flegg

“Some of the greatest mathematical minds of all ages, from Pythagoras and Euclid in ancient Greece, through the medieval Italian mathematician Leonardo of Pisa…

— Mario Livio

“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.…

— Alexey Stakhov

Pythagorean thought was dominated by mathematics, but it was also profoundly mystical.

— Vanna Bonta

“The Golden Ratio defines the squaring of a circle. Stated in mathematical terms, this says: Given a square of known perimeter, create a circle…

— Marja de Vries

“Highly complex numbers like the Comma of Pythagoras, Pi and Phi (sometimes called the Golden Proportion), are known as irrational numbers. They lie deep…

— Mark Booth Jonathan Black

What seems certain is that Pythagoras developed the idea of mathematical logic. He realized that numbers exist independently of the tangible world and therefore…

— Simon Singh

And then there is Pythagoras. The legend is that the founder of theoretical mathematics was so outraged when one of his students, the haplessly…

— Rebecca Goldstein

“The Golden Proportion, sometimes called the Divine Proportion, has come down to us from the beginning of creation. The harmony of this ancient proportion,…

— Bonnie Gaunt

Geometry has two great treasures; one is the Theorem of Pythagoras; the other, the division of a line into extreme and mean ratio. The…

— Johannes Kepler

“The golden ratio, as well as the Great Pyramid as an expression of it, is an important key to our universe containing the Earth…

— Willem Witteveen

“The golden era of the golden number was the Italian renaissance. The expression divine proportion was coined by the great mathematician Luca Pacioli in…

— Midhat Gazale

It seems to us unwise to have insisted on teaching geometry to the younger Dionysius, tyrant of Syracuse, in order to make him a…

— Bertrand Russell