Geometry Sayings and Quotes

Below you will find our collection of inspirational, wise, and humorous old geometry quotes, geometry sayings, and geometry proverbs, collected over the years from a variety of sources.

Geometry has two great treasures; one is the Theorem of Pythagoras; the other, the division of a line into extreme and mean ratio. The first we may compare to a measure of gold; the second we may name a precious jewel.     

Johannes Kepler

Regular geometry, the geometry of Euclid, is concerned with shapes which are smooth, except perhaps for corners and lines, special lines which are singularities, but some shapes in nature are so complicated that they are equally complicated at the big scale and come closer and closer and they don't become any less complicated.     

Benoit Mandelbrot

The knowledge of which geometry aims is the knowledge of the eternal.     


Geometry alone is not enough to portray human desires, expressions, aspirations, joys. We need more.     

Akira Yoshizawa

Geometry is the only science that it hath pleased God hitherto to bestow on mankind.     

Thomas Hobbes

Algebra is but written geometry and geometry is but figured algebra.     

Sophie Germain

Geometry enlightens the intellect and sets one's mind right. All of its proofs are very clear and orderly. It is hardly possible for errors to enter into geometrical reasoning, because it is well arranged and orderly. Thus, the mind that constantly applies itself to geometry is not likely to fall into error. In this convenient way, the person who knows geometry acquires intelligence.     

Ibn Khaldun

Mighty is geometry; joined with art, resistless.     


Geometry enlightlens the intellect and sets one's mind right.     

Ibn Khaldun

The study of geometry is a petty and idle exercise of the mind, if it is applied to no larger system than the starry one. Mathematics should be mixed not only with physics but with ethics; that is mixed mathematics.     

Henry David Thoreau

Geometry is the noblest branch of physics.     

William Fogg Osgood

Fractal geometry is not just a chapter of mathematics, but one that helps Everyman to see the same world differently.     

Benoit Mandelbrot

Geometry is one of the handles of science and philosophy.     


It is through geometry that one purifies the eye of the soul.     


While fractal geometry is often used in high-tech science, its patterns are surprisingly common in traditional African designs.     

Ron Eglash

Geometry is the most complete science.     

David Hilbert

Geometry will draw the soul toward truth and create the spirit of philosophy.     


There is no royal road to geometry.     


Geometry is the foundation of all painting.     

Albrecht Dürer,

Plane geometry is sort of the key course where you learn about proving things and abstraction.     

Sheldon Lee Glashow

Geometry is the archetype of the beauty of the world.     

Johannes Kepler

The description of right lines and circles, upon which geometry is founded, belongs to mechanics. Geometry does not teach us to draw these lines, but requires them to be drawn.     

Isaac Newton

A work of morality, politics, criticism will be more elegant, other things being equal, if it is shaped by the hand of geometry.     

Bernard le Bovier de Fontenelle

Where there is matter, there is geometry.     

Johannes Kepler

Common to the two geometries is only the general property of one-to-one correspondence, and the rule that this correspondence determines straight lines as shortest lines as well as their relations of intersection.     

Hans Reichenbach

One geometry cannot be more true than another; it can only be more convenient; Geometry is not true, it is advantageous.     

Robert M. Pirsig

Geometry is one and eternal shining in the mind of God. That share in it accorded to humans is one of the reasons that humanity is the image of God.     

Johannes Kepler

Geometry is knowledge of the eternally existent.     


Geometry in every proposition speaks a language which experience never dares to utter; and indeed of which she but halfway comprehends the meaning.     

William Whewell

The circle is the fundamental geometry of open human communication.     

Harrison Owen