Discover the most popular and inspiring quotes and sayings on the topic of Geometry. Share them with your friends on social media platforms like Facebook, Twitter, or your personal blogs, and let the world be inspired by their powerful messages. Here are the Top 100 Geometry Quotes And Sayings by 88 Authors including Plato,Euripides,Sophie Germain,Arthur Cayley,T. E. Hulme for you to enjoy and share.

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The knowledge of which geometry aims is the knowledge of the eternal.
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Mighty is geometry; joined with art, resistless.
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Algebra is but written geometry and geometry is but figured algebra.
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Projective geometry is all geometry.
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Pure geometrical regularity gives a certain pleasure to men troubled by the obscurity of outside appearance. The geometrical line is something absolutely distinct from the messiness, the confusion, and the accidental details of existing things.
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When a king asked Euclid, the mathematician, whether he could not explain his art to him in a more compendious manner? he was answered, that there was no royal way to geometry.
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The application of algebra to geometry ... has immortalized the name of Descartes, and constitutes the greatest single step ever made in the progress of the exact sciences.
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And therefore in geometry (which is the only science that it hath pleased God hitherto to bestow on mankind), men begin at settling the significations of their words; which settling of significations, they call definitions, and place them in the beginning of their reckoning.
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Geometry is moribund. I want a lilt and joy to art.
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Greek architecture is the flowering of geometry.
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The present author confesses that, to him, geometry is nothing at all, if not a branch of art ...
A Treatise on Algebraic Plane Curves
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There is no Royal Road to Geometry.
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Geometry existed before the creation. It is co-eternal with the mind of God ... Geometry provided God with a model for the Creation ...
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I am coming more and more to the conviction that the necessity of our geometry cannot be demonstrated, at least neither by, nor for, the human intellect.
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For God is like a skilfull Geometrician.
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How many theorems in geometry which have seemed at first impracticable are in time successfully worked out!
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We're just lines and angles.
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As the geometer intently seeks
to square the circle, but he cannot reach, through thought on thought, the principle he needs, so I searched that strange sight.
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In reality the universe has no geometry.
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The geometer offers to the physicist a whole set of maps from which to choose. One map, perhaps, will fit the facts better than others, and then the geometry which provides that particular map will be the geometry most important for applied mathematics.
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The early study of Euclid made me a hater of geometry.
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Let no-one ignorant of geometry enter. Said to have been inscribed above the door of Plato's Academy.
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It seems to us unwise to have insisted on teaching geometry to the younger Dionysius, tyrant of Syracuse, in order to make him a good king, but from Plato's point of view it was essential. He was sufficiently Pythagorean to think that without mathematics no true wisdom is possible.
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This, dear Phaedrus, is the most important point: no geometry without the word. Without it, figures are accidents, and neither make manifest nor serve the power of the mind.
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As astronomy is the daughter of idleness, geometry is the daughter of property.
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The Geometer has the special privilege to carry out, by abstraction, all constructions by means of the intellect. Who, then, would wish to prevent me from freely considering figures hanging on a balance imagined to be at an infinite distance beyond the confines of the world?
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What's the matter?" said the old man. "Can't you make up your mind what kind you want?"
The kid laughed. "I want them all." He threw his hands out. "I'm learning everything!"
He opened one of the books. "Look ... geometry ... triangles ...
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I have no fault to find with those who teach geometry. That science is the only one which has not produced sects; it is founded on analysis and on synthesis and on the calculus; it does not occupy itself with the probable truth; moreover it has the same method in every country.
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Logic was to cognition as geometry was to landscape
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In creating the world, God used arithmetic, geometry, and likewise astronomy.
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It [ non-Euclidean geometry ] would be ranked among the most famous achievements of the entire [nineteenth] century, but up to 1860 the interest was rather slight.
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The composer opens the cage door for arithmetic, the draftsman gives geometry its freedom.
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Writing is the geometry of the soul.
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Geometry was the first exciting course I remember.
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Height, width, and depth are the three phenomena which I must transfer into one plane to form the abstract surface of the picture, and thus to protect myself from the infinity of space.
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Modern man lives more and more in a preponderantly geometric order. All human creation mechanical or industrial is dependent upon geometric intentions.
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A work of morality, politics, criticism will be more elegant, other things being equal, if it is shaped by the hand of geometry.
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If a man is at once acquainted with the geometric foundation of things and with their festal splendor, his poetry is exact and his arithmetic musical.
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I have an infamously low capacity for visualizing relationships, which made the study of geometry and all subjects derived from it impossible for me.
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We cannot ... prove geometrical truths by arithmetic.
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Mathematics are the result of mysterious powers which no one understands, and which the unconscious recognition of beauty must play an important part. Out of an infinity of designs a mathematician chooses one pattern for beauty's sake and pulls it down to earth.
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before the origin of things, geometry was coeternal with the Divine Mind
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A tree nowhere offers a straight line or a regular curve, but who doubts that root, trunk, boughs, and leaves embody geometry?
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Metrical geometry is thus a part of descriptive geometry, and descriptive geometry is all geometry.
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Analytical geometry has never existed. There are only people who do linear geometry badly, by taking coordinates, and they call this analytical geometry. Out with them!
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Mathematics is the art of accurate reasoning on inaccurately-drawn figures ... let that be our motto.
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Geometric calculus consists in a system of operations analogous to those of algebraic calculus, but in which the entities on which the calculations are carried out, instead of being numbers, are geometric entities which we shall define.
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Music is geometry in time.
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Projective geometry has opened up for us with the greatest facility new territories in our science, and has rightly been called the royal road to our particular field of knowledge.
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Beauty cannot be defined by abscissas and ordinates; neither are circles and ellipses created by their geometrical formulas.
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The science [geometry] is pursued for the sake of the knowledge of what eternally exists, and not of what comes for a moment into existence, and then perishes.
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I ran into Isosceles. He had a great idea for a new triangle!
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Gravity is a response to geometry.
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Perhaps you have seen me. I know well, my purpose was merely that of a symbol, 'equals', 'times' ... ; but what is said, for all that, was identity-less: a kind of live geometry.
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I smiled. Mom laughed, shaking her head. "That's the punchline? Why is that even funny?" "It's the Pythagorean theorem," said Lauren. "It's a math formula for . . . something." "Right triangles," I said, and looked pointedly at Margaret. "I told you I'd already done geometry.
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The purely formal language of geometry describes adequately the reality of space. We might say, in this sense, that geometry is successful magic. I should like to state a converse: is not all magic, to the extent that it is successful, geometry?
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...rich geometric experiences are the most important factor in the development of children's spatial thinking and reasoning.
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Perspective is a most subtle discovery in mathematical studies, for by means of lines it causes to appear distant that which is near, and large that which is small.
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Whoever thinks algebra is a trick in obtaining unknowns has thought it in vain. No attention should be paid to the fact that algebra and geometry are different in appearance. Algebras (jabbre and maqabeleh) are geometric facts which are proved by propositions five and six of Book two of Elements.
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Not that the propositions of geometry are only approximately true, but that they remain absolutely true in regard to that Euclidean space which has been so long regarded as being the physical space of our experience.
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God is a geometrician.
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Geometry is deceptive; the hurricane alone is trustworthy.
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Lines and angles, flat and bland,
raise these volumes and make them stand.
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The ludicrous state of solid geometry made me pass over this branch.
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Mathematics has a threefold purpose. It must provide an instrument for the study of nature. But this is not all: it has a philosophical purpose, and, I daresay, an aesthetic purpose.
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If triangles had a god, he would have three sides.
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Drawing is the sum of directions.
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In the meantime, most noble Sir, you have assigned this question to the geometry of position, but I am ignorant as to what this new discipline involves, and as to which types of problem Leibniz and Wolff expected to see expressed in this way.
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Beauty is all about form; proportions and the relationships between one line and another.
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The beauty of life is, therefore, geometrical beauty of a type that Plato would have much appreciated.
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triangle of my mons,
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The once-surprising existence of non-Euclidean models of Euclid's first four axioms can be seen as a sort of mathematical joke.
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We must ... maintain that mathematical geometry is not a science of space insofar as we understand by space a visual structure that can be filled with objects - it is a pure theory of manifolds.
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Plane geometry is sort of the key course where you learn about proving things and abstraction.
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Did you measure to attain your height? Did you use geometry to radiate your limb? Did you lament storm-torn branches? Did you inventory your leaves for the sun? You did none of these things, yet man in his cleverness Cannot match your perfection.
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I've sort of been slacking off in my voodoo studies.I've trigonometry, you know?
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The greatest mathematics has the simplicity and inevitableness of supreme poetry and music, standing on the borderland of all that is wonderful in Science, and all that is beautiful in Art.
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On Plato's door, it says let no one enter who does not know geometry. On Love's door, it says let no one enter who does not know cry!
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We are perpetually moralists, but we are geometricians only by chance. Our intercourse with intellectual nature is necessary; our speculations upon matter are voluntary, and at leisure.
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If triangles made a god, they would give him three sides.
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It looks like a parallelogram fucking an isosceles triangle, I said.
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The first test of potential in mathematics is whether you can get anything out of geometry.
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A few rules include all that is necessary for the perfection of the definitions, the axioms, and the demonstrations, and consequently of the entire method of the geometrical proofs of the
art of persuading.
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A planar geometrical figure with more than three vertices can be decomposed into a set of triangles, and it can be reconstructed from a set of triangles.
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We are only geometricians of matter; the Greeks were, first of all, geometricians in the apprenticeship to virtue.
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The right angle is one of the world's basic shapes.
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Mathematical solutions are selected by the subliminal self on the basis of "mathematical beauty," of the harmony of numbers and forms, of geometric elegance.
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As lines, so loves oblique, may well Themselves in every angle greet; But ours, so truly parallel, Though infinite, can never meet.
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Light and the rational forms are locked in combat; light sets them into motion, bends what is straight, makes parallels oval, inscribes circles in the intervals, makes the intervals active.
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But who shall parcel out His intellect by geometric rules, Split like a province into round and square?
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Arithmetic! Algebra! Geometry! Grandiose trinity! Luminous triangle! Whoever has not known you is without sense!
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I am sure that if triangles ever were loved, they were loved for being triangular.
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Algebras are geometric facts which are proved.
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If you look at a shape like a straight line, what's remarkable is that if you look at a straight line from close by, from far away, it is the same; it is a straight line.
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Without mathematics there is no art.
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In many cases a dull proof can be supplemented by a geometric analogue so simple and beautiful that the truth of a theorem is almost seen at a glance.
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It never ceases to amaze me how adaptable social geometry can be. Within a couple of days I went from being the centre of the circle to an indefinite point outside its circumference.
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Beauty in mathematics is seeing the truth without effort.
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I may not be great at geometry but I know one theorum. The longest distance between two points is you and your parents.
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I was very slow in maths, geometry I actually enjoyed.