quote by Pythagoras

There is geometry in the humming of the strings, there is music in the spacing of the spheres.

— Pythagoras

Professional Geometrical quotations

Architecture is the triumph of human imagination over materials, methods, and men, to put man into possession of his own Earth. It is at least the geometric pattern of things, of life, of the human and social world. It is at best that magic framework of reality that we sometimes touch upon when we use the word order.

New York... is a city of geometric heights, a petrified desert of grids and lattices, an inferno of greenish abstraction under a flat sky, a real Metropolis from which man is absent by his very accumulation.

The only thing that I could get with chance, and I never was able to use it, was that I would end up with something quite geometric or the spirit that I was interested in, indulging in, was gone.

I like to think that Einstein would look at string theory’s journey and smile, enjoying the theory’s remarkable geometrical features while feeling kinship with fellow travelers on the long and winding road toward unification.

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.

Population, when unchecked, increases in a geometrical ratio.

Subsistence increases only in an arithmetical ratio. A slight acquaintance with numbers will shew the immensity of the first power in comparison of the second.

My forms are geometric, but they don't interact in a geometric sense.

They're just forms that exist everywhere, even if you don't see them.

The laws of Nature are written in the language of mathematics.

..the symbols are triangles, circles and other geometrical figures, without whose help it is impossible to comprehend a single word.

We seem to inhabit a universe made up of a small number of elements-particles-bits that swirl in chaotic clouds, occasionally clustering together in geometrically logical temporary configurations.

You existed. You existed now as a fractal. Definition: A fractal is generally a rough or fragmented geometric shape that can be broken into parts, each of which is (at least approximately) a reduced-size copy of the whole. Maybe I was a fractal. Maybe the photographer was a fractal. Maybe we were all fractals.

The reader will find no figures in this work.

The methods which I set forth do not require either constructions or geometrical or mechanical reasonings: but only algebraic operations, subject to a regular and uniform rule of procedure.

Algebras (jabbre and maqabeleh) are geometric facts which are proved by propositions five and six of Book two of Elements.

There is no end to the beauty for the person who is aware.

Even the cracks between the sidewalk contain geometric patterns of amazing beauty.

Modern man lives more and more in a preponderantly geometric order.

All human creation mechanical or industrial is dependent upon geometric intentions.

[P]opulation, when unchecked, goes on doubling itself every twenty-five years, or increases in a geometrical ratio. ... [T]he means of subsistence, under circumstances the most favorable to human industry, could not possibly be made to increase faster than in an arithmetical ratio.

The theory of chaos and theory of fractals are separate, but have very strong intersections. That is one part of chaos theory is geometrically expressed by fractal shapes.

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.

General relativity is the cornerstone of cosmology and astrophysics.

It has also provided the conceptual basis for string theory and other attempts to unify all the forces of nature in terms of geometrical structures.

Much of what I make is geometric, and has a kind of almost mathematical logic to the form.

That's what I love about reading: one tiny thing will interest you in a book, and that tiny thing will lead you to another book, and another bit there will lead you onto a third book. It's geometrically progressive - all with no end in sight, and for no other reason than sheer enjoyment.

The non-geometric biomorphic forms of Arp and Miro and Moore are definitely in the ascendant. The formal tradition of Gauguin, Fauvism and Expressionism will probably dominate for some time to come the tradition of Cezanne and Cubism.

I believe the geometric proportion served the creator as an idea when He introduced the continuous generation of similar objects from similar objects.

The arithmetical symbols are written diagrams and the geometrical figures are graphic formulas.

For nine years I worked to change what was hairdressing then into a geometric art form with color, perm without setting which had never been done before.

Many transition states have a well-defined preferred geometrical requirement.

Keep it simple: In general, interfaces should use simple geometric forms, minimal contours, and a restricted color palette comprised primarily of less-saturated or neutral colors balanced with a few high contrast accent colors that emphasize important information. Typography should not vary widely in an interface.

... if one were to refuse to have direct, geometric, intuitive insights, if one were reduced to pure logic, which does not permit a choice among every thing that is exact, one would hardly think of many questions, and certain notions ... would escape us completely.

...the feeling of mathematical beauty, of the harmony of numbers and of forms, of geometric elegance. It is a genuinely aesthetic feeling, which all mathematicians know

The effectiveness of work increases according to geometric progression if there are no interruptions.

I use geometric and mathematical ideas to organize material, but those are tools. The purpose of the work is not to expose that at all, but to arrive at some kind of expressiveness.

...all man's desired geometric progressions, if a high rate of growth is chosen, at last come to grief on a finite earth. And the social system for man on earth is fair enough, eventually, that almost all massive cheating ends in disgrace.

We all share beauty. It strikes us indiscriminately. There is no end to the beauty for the person who is aware. Even the cracks between the sidewalk contain geometric patterns of amazing beauty. If we take pictures of them and blow up the photographs, we realize we walk on beauty every day, even when things seem ugly around us.

As you know, Bergson pointed out that there is no such thing as disorder but rather two sorts of order, geometric and living.

There is still a difference between something and nothing, but it is purely geometrical and there is nothing behind the geometry.

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