Geometry Quotes

“Mathematics”

“Euclid’s Elements”

“Doctrine of Proportion”

“There is no royal road to geometry.”

“And the whole [is] greater than the part.”

“Geometry enlightens the intellect and sets one's mind right.”

“geometry”

“Wikipedia: Geometry”

“The way I have taken seems not to lead to the goal, but much rather to make the truth of geometry doubtful.”

“O king, through the country there are royal roads and roads for common citizens, but in geometry there is one road for all.”

“Since geometry is the right foundation of all painting, I have decided to teach its rudiments and principles to all youngsters eager for art.”

“He said that the geometry of the dream-place he saw was abnormal, non-Euclidean, and loathsomely redolent of spheres and dimensions apart from ours.”

“Visual forms are not perceived differently from colors or brightness. They are sense qualities, and the visual character of geometry consists in these sense qualities.”

“The Greeks... discovered mathematics and the art of deductive reasoning. Geometry, in particular, is a Greek invention, without which modern science would have been impossible.”

“Geometry is almost the only subject as to which we find truths wherein all men agree; and one cause of this is, that geometers alone regard the true laws of demonstration.”

“When Ptolemy once asked Euclid if geometry could not be mastered by an easier process than by studying the Elements, Euclid returned the answer, "There is no royal road to geometry."”

“It is a remarkable fact in the history of geometry, that the Elements of Euclid, written two thousand years ago, are still regarded by many as the best introduction to the mathematical sciences.”

“Historically, it was Euclidean geometry that, developed to a large extent as a votive offering to the God of Reason, opened men's eyes to the possibility of design and to the possibility of uncovering it by the pursuit of mathematics.”

“The chemist smiles at the childish efforts of alchemists but the mathematician finds the geometry of the Greeks and the arithmetic of the Hindoos as useful and admirable as any research of today.”

“Geometry can in no way be viewed... as a branch of mathematics, instead, geometry relates to something already given in nature, namely, space. I... realized that there must be a branch of mathematics which yields in a purely abstract way laws similar to those of geometry.”