Geometry Quote by Arthur Cayley

Descriptive geometry has two objects: the first is to establish methods to represent on drawing paper which has only two dimensions,-namely, length and width,-all…

— Gaspard Monge

Projective geometry is all geometry.

— Arthur Cayley

Regular geometry, the geometry of Euclid, is concerned with shapes which are smooth, except perhaps for corners and lines, special lines which are singularities,…

— Benoit Mandelbrot

“Two possibilities present themselves for the analytical treatment of metrical geometry.”

— Hermann Weyl

Not that the propositions of geometry are only approximately true, but that they remain absolutely true in regard to that Euclidean space which has…

— Arthur Cayley

Geometry, like arithmetic, requires for its logical development only a small number of simple, fundamental principles. These fundamental principles are called the axioms of…

— David Hilbert

The analytical geometry of Descartes and the calculus of Newton and Leibniz have expanded into the marvelous mathematical method

— Nicholas Murray Butler

I have an infamously low capacity for visualizing relationships, which made the study of geometry and all subjects derived from it impossible for me.

— Sigmund Freud

Let no-one ignorant of geometry enter. Said to have been inscribed above the door of Plato's Academy.

— Plato

Cryptography has generated number theory, algebraic geometry over finite fields, algebra, combinatorics and computers.

— Vladimir Arnold

No one fully understands spinors. Their algebra is formally understood but their general significance is mysterious. In some sense they describe the 'square root'…

— Michael Atiyah

Geometry is the most complete science.

— David Hilbert