Very late in life, when he was studying geometry, some one said to Lacydes, "Is it then a time for you to be learning now?" "If it is not," he replied, "when will it be?"
"There is no other royal path which leads to geometry," said Euclid to Ptolemy I.
Poetry is a subject as precise as geometry.
In terms of the game theory, we might say the universe is so constituted as to maximize play. The best games are not those in which all goes smoothly and steadily toward a certain conclusion, but those in which the outcome is always in doubt. Similarly, the geometry of life is designed to keep us at the point of maximum tension between certainty and uncertainty, order and chaos. Every important call is a close one. We survive and evolve by the skin of our teeth. We really wouldn't want it any other way.
Projective geometry is all geometry.
The composer opens the cage door for arithmetic, the draftsman gives geometry its freedom.
And since geometry is the right foundation of all painting, I have decided to teach its rudiments and principles to all youngsters eager for art. . . .
Music is the arithmetic of sounds as optics is the geometry of light.
The two elements the traveler first captures in the big city are extrahuman architecture and furious rhythm. Geometry and anguish.
Crystals grew inside rock like arithmetic flowers. They lengthened and spread, added plane to plane in an awed and perfect obedience to an absolute geometry that even stonesâmaybe only the stonesâunderstood.
The cowboys have a way of trussing up a steer or a pugnacious bronco which fixes the brute so that it can neither move nor think. This is the hog-tie, and it is what Euclid did to geometry.
There is no other Royal path which leads to geometry.