Discover the most popular and inspiring quotes and sayings on the topic of Geometric. 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 Geometric Quotes And Sayings by 87 Authors including Terry Pratchett,Thomas Hobbes,Ernest Hemingway,,Robert Louis Stevenson,Albert Goldbarth for you to enjoy and share.
Bee there Orr Bee A Rectangular Thyng
Geometry is the only science that it hath pleased God hitherto to bestow on mankind.
The fools think I am writing algebra but what I am really writing is geometry.
A proposition of geometry does not compete with life; and a proposition of geometry is a fair and luminous parallel for a work of art. Both are reasonable, both untrue to the crude fact; both inhere in nature, neither represents it.
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.
And since geometry is the right foundation of all painting, I have decided to teach its rudiments and principles to all youngsters eager for art.
You can't criticize geometry. It's never wrong.
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.
The only royal road to elementary geometry is ingenuity.
Since the age of six I have had the habit of sketching forms of objects. Although from about fifty I have often published my pictorial works, before the seventieth year none is worthy.
Geometry is one of the handles of science and philosophy.
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?
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.
I'm an artist; I'm not going to use trigonometry.
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.
Two possibilities present themselves for the analytical treatment of metrical geometry.
A triangle with four points is what Euclid rides into hell.
It looks like a parallelogram fucking an isosceles triangle, I said.
Algebra is nothing more than geometry, in words;
geometry is nothing more than algebra, in pictures.
Geometry is knowledge of the eternally existent.
Geometry is the science of correct reasoning on incorrect figures.
We favor the simple expression of the complex thought. We are for the large shape because it has the impact of the unequivocal. We wish to reassert the picture plane. We are for flat forms because they destroy illusion and reveal truth.
Algebras are geometric facts which are proved.
Not so much looking for the shape
as being available
to any shape that may be
summoning itself
through me
from the self not mine but ours.
Geometry is moribund. I want a lilt and joy to art.
But we must not underestimate the potency of the mathematical process of abstraction. A surprising variety of things happen to have both magnitude and direction and to combine according to the parallelogram law; and many of them are not at all reminiscent of journeys.
Flowers construct the most charming geometries: circles like the sun, ovals, cones, curlicues and a variety of triangular eccentricities, which when viewed with the eye of a magnifying glass seem a Lilliputian frieze of psychedelic silhouettes.
Since ancient times artists and architects have seen in the golden mean the most aesthetically satisfying geometric ratio.
Projective geometry is all geometry.
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.
A tendency toward the abstract is inherent in linear expression: graphic imagery being confined to outlines has a fairy-like quality and at the same time can achieve great precision.
And we must invent dynamic designs to go with them and express them in equally dynamic shapes: triangles, cones, spirals, ellipses, circles, etc.
The power of mathematics is often to change one thing into another, to change geometry into language.
The beauty of life is, therefore, geometrical beauty of a type that Plato would have much appreciated.
No employment can be managed without arithmetic, no mechanical invention without geometry.
One geometry cannot be more true than another; it can only be more convenient. Geometry is not true, it is advantageous.
I don't think geometric art is ... I don't like to call it that. I don't think it's any more pure than pop art or anything else. It doesn't have anything to do with purity.
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.
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!
I ran into Isosceles. He had a great idea for a new triangle!
We cannot ... prove geometrical truths by arithmetic.
Algebra is but written geometry and geometry is but figured algebra.
We must here follow the first course so as to be able to pass on later to generalisations which extend beyond the limits of Euclidean geometry.
I've decided to get into shape, and the shape I've selected is a triangle.
... if geometry were as much opposed to our passions and present interests as is ethics, we should contest it and violate I but little less, notwithstanding all the demonstrations of Euclid and Archimedes ...
The ludicrous state of solid geometry made me pass over this branch.
Drawing is the sum of directions.
THE BODY SHOULD be triangular, the mind circular. The triangle represents the generation of energy and is the most stable physical posture. The circle symbolizes serenity and perfection, the source of unlimited techniques. The square stands for solidity, the basis of applied control.
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.
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 ...
In geometry, as in nature, the circle is the archetypal shape of wholeness and inclusion. It is an effective shape for nonprofits or community-focused efforts.
Fractal geometry is not just a chapter of mathematics, but one that helps Everyman to see the same world differently.
Geometry, like arithmetic, requires for its logical development only a small number of simple, fundamental principles. These fundamental principles are called the axioms of geometry.
The composer opens the cage door for arithmetic, the draftsman gives geometry its freedom.
Some songs seem to achieve the quality of a geometric object - a ball, box, or cone - and I don't mess with 'em.
Even abstract shapes must have a likeness
There is no Royal Road to Geometry.
Let no one destitute of Geometry enter my doors.
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.
God forever geometrizes.
Logic was to cognition as geometry was to landscape
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.
Self-similarity is a dull subject because you are used to very familiar shapes. But that is not the case. Now many shapes which are self-similar again, the same seen from close by and far away, and which are far from being straight or plane or solid.
Beauty cannot be defined by abscissas and ordinates; neither are circles and ellipses created by their geometrical formulas.
The knowledge of which geometry aims is the knowledge of the eternal.
Mathematical solutions are selected by the subliminal self on the basis of "mathematical beauty," of the harmony of numbers and forms, of geometric elegance.
Graphic design, which evokes the symmetria of Vituvius, the dynamic symmetry of Hambidge, the asymmetry of Mondrian; which is a good gestalt, generated by intuition or by computer, by invention or by a system of coordinates, is not good design if it does not communicate.
The circle is the synthesis of the greatest oppositions. It combines the concentric and the eccentric in a single form and in equilibrium. Of the three primary forms, it points most clearly to the fourth dimension.
Metrical geometry is thus a part of descriptive geometry, and descriptive geometry is all geometry.
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.
But who shall parcel out His intellect by geometric rules, Split like a province into round and square?
The right angle is one of the world's basic shapes.
There is no reason why people should not call themselves Cubists, or Octagonists, or Parallelopipedonists, orKnights oftheIsoscelesTriangle, or Brothers of the Cosine, if they so desire; as expressing anything serious and permanent, one term is as fatuous as another.
Hence it is that the shape of something is especially meaningful.
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.
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.
I am sure that if triangles ever were loved, they were loved for being triangular.
Geometry existed before the creation. It is co-eternal with the mind of God ... Geometry provided God with a model for the Creation ...
...rich geometric experiences are the most important factor in the development of children's spatial thinking and reasoning.
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.
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.
The mathematician is fascinated with the marvelous beauty of the forms he constructs, and in their beauty he finds everlasting truth.
Geometry is the noblest branch of physics.
I conceived and developed a new geometry of nature and implemented its use in a number of diverse fields. It describes many of the irregular and fragmented patterns around us, and leads to full-fledged theories, by identifying a family of shapes I call fractals.
The Devil hath power
To assume a pleasing shape.
Space creates shape; Shape creates space.
A geometrical theory in physical interpretation can never be validated with mathematical certainty ... ; like any other theory of empirical science, it can acquire only a more or less high degree of confirmation.
Beauty is all about form; proportions and the relationships between one line and another.
She is angle. I am
curve. Together, we are geometric
sculpture, and we make perfect sense.
In reality the universe has no geometry.
Geometric shapes hold an energy pattern, and scientists did some experiments which say certain geometric shapes can affect matter around them. It's simply because when a human looks at a shape, they instantly receive energy from their brain.
If they would, for Example, praise the Beauty of a Woman, or any other Animal, they describe it by Rhombs, Circles, Parallelograms, Ellipses, and other geometrical terms ...
[Graphics] is a strict and simple system of signs, which anyone can learn to use and which leads to better understanding.
Aspiring to these wide generalizations, the analysis of quadratic functions soars to a pitch from whence it may look proudly down on the feeble and vain attempts of geometry proper to rise to its level or to emulate it in its flights.
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.
Here, where we reach the sphere of mathematics, we are among processes which seem to some the most inhuman of all human activities and the most remote from poetry. Yet it is here that the artist has the fullest scope of his imagination.
His way had therefore come full circle, or rather had taken the form of an ellipse or a spiral, following as ever no straight unbroken line, for the rectilinear belongs only to Geometry and not to Nature and Life.
if a theorem is geometrically obvious why prove it? This was exactly the attitude taken in the eighteenth century. The result, in the nineteenth century, was chaos and confusion: for intuition, unsupported by logic, habitually assumes that everything is much nicer behaved than it really is. Good
Architect's designs must refer to the unquestionable perfection of the body's symmetry and proportions. If a building is to create a sense of eurythmia, it is essential that it mirrors these natural laws of harmony and beauty
In life there are squares and there are circles, sometimes it's best to be an oblong