Top 365 Geometry Quotes & Sayings - Page 4

We learned to put discipline in the haircuts by using actual geometry, actual architectural shapes and bone structure. The cut had to be perfect and layered beautifully, so that when a woman shook it, it just fell back in.

Life isn't about algebra and geometry. Learning by making mistakes and not duplicating them is what life is about.

I remember, at MIT, we had to write an essay about something mathematical that you do in your extra time. I basically wrote about how dance, to me, was geometry: it was all shapes.

Every one who understands the subject will agree that even the basis on which the scientific explanation of nature rests is intelligible only to those who have learned at least the elements of the differential and integral calculus, as well as analytical geometry.

The importance of infinite processes for the practical exigencies of technical life can hardly be overemphasized. Practically all applications of arithmetic to geometry, mechanics, physics and even statistics involve these processes directly and indirectly.

There is certainly the intention of efforts like the Common Core to raise education standards and make sure that every student masters advanced math concepts - algebra, geometry, statistics and probability.

For each successive class of phenomena, a new calculus or a new geometry, as the case might be, which might prove not wholly inadequate to the subtlety of nature.

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.

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.

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.

Leibniz is at the disadvantage of not having seen it. Or perhaps we should count this as an advantage, for anyone who sees it is dumbfounded by the brilliance of the geometry, and it is difficult to criticize a man’s work when you are down on your knees shielding your eyes.

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.

Fractal geometry is everywhere, even in lines drawn in the sand. It's the cycle of life... You see fractals in plants, in flowers. Within the human lung are branches within branches.

There's a theory that says that life is based on a competition and the struggle and the fight for survival, and it's interesting because when you look at the fractal character of evolution, it's totally different. It's based on cooperation among the elements in the geometry and not competition.

In terms of individuals who actually inspired me, very few of the academic people that I had access to had that power over me. Maybe it's simply because I wasn't that committed to geometry.

Gregorian chant, Romanesque architecture, the Iliad , the invention of geometry were not, for the people through whom they were brought into being and made available to us, occasions for the manifestation of personality.

Human knowledge is dark and uncertain; philosophy is dark, astrology is dark, and geometry is dark.

Here I beg you to observe in passing that the scruples that prevented ancient writers from using arithmetical terms in geometry, and which can only be a consequence of their inability to perceive clearly the relation between these two subjects, introduced much obscurity and confusion into their explanations.

Some of the most beautiful people, to me, are those with the wrong geometry. Mother Teresa is extremely beautiful and not because she is a saint. Her characteristics are very strange, and that is what generates the power she had.

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.

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.

I regret that it has been necessary for me in this lecture to administer a large dose of four-dimensional geometry. I do not apologize, because I am really not responsible for the fact that nature in its most fundamental aspect is four-dimensional. Things are what they are.

A musical audience is at best uninspiring, at worst definitely drab. ... Respectability hangs like a pall over the orchestra and the boxes; a sort of sterile sobriety ill-fitted to the passionate geometry of music.

Algebraic geometry seems to have acquired the reputation of being esoteric, exclusive, and very abstract, with adherents who are secretly plotting to take over all the rest of mathematics. In one respect this last point is accurate.

I just toured around looking for fractals, and when I found something that had a scaling geometry, I would ask the folks what was going on - why they had made it that way.

Those who have more power are liable to sin more; no theorem in geometry is more certain than this.

A firm rule must be imposed upon our nation before it destroys itself. The United States needs some theology and geometry, some taste and decency. I suspect that we are teetering on the edge of the abyss.

Now being in such grace and favor by reason I learned him some points of geometry and understanding of the art of mathematics with other things, I pleased him so that what I said he would not contrary.

Einstein's gravitational theory, which is said to be the greatest single achievement of theoretical physics, resulted in beautiful relations connecting gravitational phenomena with the geometry of space; this was an exciting idea.

Crystals grew inside rock like arithmetic flowers. They lengthened and spread, added plane to plane in an awed and perfect obedience to an absolute geometry that even stones - maybe only the stones - understood.

Every writer must reconcile, as best he may, the conflicting claims of consistency and variety, of rigour in detail and elegance in the whole. The present author humbly confesses that, to him, geometry is nothing at all, if not a branch of art.

Galois read the geometry from cover to cover as easily as other boys read a pirate yarn.

The fools think I am writing algebra but what I am really writing is geometry.

I've learned that I've just barely scratched the surface of knowledge of the profession, and I have deep envy of and appreciation for filmmakers who really, truly understand the physics, the design of filmmaking. They can do story and color and composition and geometry and math and science all at once.

There is only one morality, as there is only one geometry.

The bones of my architecture are very much related to the structure, to the physical fact of how a building can stand up; it's also related to geometry and a certain understanding of the architecture in which there is a balance between expression and function.

Astronomy was born of superstition; eloquence of ambition, hatred, falsehood, and flattery; geometry of avarice; physics of an idle curiosity; and even moral philosophy of human pride. Thus the arts and sciences owe their birth to our vices.

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 differential element of non-Euclidean spaces is Euclidean. This fact, however, is analogous to the relations between a straight line and a curve, and cannot lead to an epistemological priority of Euclidean geometry, in contrast to the views of certain authors.

Baseball is a game of geometry, while football is a game of explosive emotion. Every emotion known to mankind is in that 60 minutes - pride, pain, dedication, satisfaction, fear.

This is the first real evidence that we've seen now of high gravitational field strengths: monstrous things like stars moving at the velocity of light, smashing into each other, and making the geometry of space-time turn into some sort of washing machine.

The opinions of men should not be the object of any government. Our civil rights are no more dependent on our religious beliefs than they are dependent upon our thoughts about geometry or physics!

If the chemistry is right between star and photographer and the geometry of the pictures pleases the star, often the two people end up with a long-term professional friendship during which they continue to work together and to produce highly personal images.

We are, all four of us, blood relatives, and we speak a kind of esoteric, family language, a sort of semantic geometry in which the shortest distance between any two points is a fullish circle.

Antarctica, one of the things that was so remarkable about it was that the ice itself is a kind of pure geometry, so say, for example, if I was facing someone wearing I don't know, a Joy Division t-shirt with the mountains on it or something like that.

Or maybe it is only that we are so habitually inattentive that when some rare but simple geometry grabs us by the shoulders and shakes us into consciousness, we call our response sacred.

We come now to the question: what is a priori certain or necessary, respectively in geometry (doctrine of space) or its foundations? Formerly we thought everything; nowadays we think nothing. Already the distance-concept is logically arbitrary; there need be no things that correspond to it, even approximately.

As long as algebra and geometry have been separated, their progress have been slow and their uses limited; but when these two sciences have been united, they have lent each mutual forces, and have marched together towards perfection.

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.

Now, a 45-degree angle is not something we deal with in finance. It's something you see in a high school geometry class. Performance like that has never been recorded in human history.

When Moses was alive, these pyramids were a thousand years old. Here began the history of architecture. Here people learned to measure time by a calendar, to plot the stars by astronomy and chart the earth by geometry. And here they developed that most awesome of all ideas - the idea of eternity.

We already have a pretty good knowledge of the universe's mass-energy content, so if we can get a handle on its geometry, then we will be able to work out exactly what the fate of the universe will be.

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.

I love the simplicity of the Cube because it's a very clear geometrical shape, and I love geometry because it's the study of how the whole universe is structured.

Architects should be educated, skillful with the pencil, instructed in geometry, know much history, have followed the philosophers with attention, understand music, have some knowledge of medicine, know the opinions of the jurists, and be acquainted with astronomy and the theory of the heavens

I can't stop biting my nails. It's a bad habit of mine. I like anything to do with math and numbers. I know a lot of people don't like geometry, but for me it's fun.

I'd been doing projects outdoors for the public. I made pigeons eat geometry by putting bread out in rhomboids and triangles. I don't know if this activity made sense, but the work was available.

Our civil rights have no dependence upon our religious opinions more than our opinions in physics or geometry.

In the morning a man walks with his whole body; in the evening, only with his legs. RALPH WALDO EMERSON, Journals and Miscellaneous Notebooks Greek architecture is the perfect flowering of geometry.

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.