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.
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.
Fashion is not just about what we wear, but...fashion is also a business. It is an art, it's a career that involves science, engineering, accounting and so much more. People can learn about the math behind Charles James' designs, and think, 'Maybe I should pay closer attention to geometry this semester'
There was a wall. It did not look important. It was built of uncut rocks roughly mortared. An adult could look right over it, and even a child could climb it. Where it crossed the roadway, instead of having a gate it degenerated into mere geometry, a line, an idea of boundary. But the idea was real. It was important. For seven generations there had been nothing in the world more important than that wall. Like all walls it was ambiguous, two-faced. What was inside it and what was outside it depended upon which side of it you were on.
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.
I got good grades in math, but I never really enjoyed it. My favorite part of math was algebra, but geometry was the worst.
There are all sorts of things embodied in the Lego brick - geometry and mathematics and truth and proportion and shape and colour... It is a faintly spiritual activity that everybody connects with.
John Michell's The Dimensions of Paradise is inarguably among the most important Gnostic transmissions of recent generations. With his candid, uncomplicated style, John has made widely available the visions, the laws, and the numbers held within pure geometry and which integrate earth and sky, movement and form, cosmos and mankind.
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.
There is no need to express art in terms of nature. It can perfectly well be expressed in terms of geometry and the exact sciences.
There is (gentle reader) nothing (the works of God only set apart) which so much beautifies and adorns the soul and mind of man as does knowledge of the good arts and sciences . Many arts there are which beautify the mind of man; but of all none do more garnish and beautify it than those arts which are called mathematical , unto the knowledge of which no man can attain, without perfect knowledge and instruction of the principles, grounds, and Elements of Geometry.
So if the worth of the arts were measured by the matter with which they deal, this art-which some call astronomy, others astrology, and many of the ancients the consummation of mathematics-would be by far the most outstanding. This art which is as it were the head of all the liberal arts and the one most worthy of a free man leans upon nearly all the other branches of mathe matics. Arithmetic, geometry, optics, geodesy, mechanics, and whatever others, all offer themselves in its service.
Descartes constructed as noble a road of science, from the point at which he found geometry to that to which he carried it, as Newton himself did after him. ... He carried this spirit of geometry and invention into optics, which under him became a completely new art.
Whatever efforts one may make, one must revert to the realization that religion is the real basis of morality; religion is the real and perceptible purpose within us, which alone, can turn aside our attention from things. ... The science of morality can no more teach human beings to be honest, in all the magnificence of this word, than geometry can teach one how to draw.
Pi is not merely the ubiquitous factor in high school geometry problems; it is stitched across the whole tapestry of mathematics, not just geometry's little corner of it. Pi occupies a key place in trigonometry too. It is intimately related to e, and to imaginary numbers. Pi even shows up in the mathematics of probability
That wee have of Geometry, which is the mother of all Naturall Science, wee are not indebted for it to the Schools.
We may climb into the thin and cold realm of pure geometry and lifeless science, or sink into that of sensation. Between these extremes is the equator of life, of thought, or spirit, or poetry,--a narrow belt.
The analytical geometry of Descartes and the calculus of Newton and Leibniz have expanded into the marvelous mathematical method
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.
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.
I am present at the sowing of the seed of the world. With a geometry of sunbeams, the soul lays the foundations of nature.
You must follow me carefully. I shall have to controvert one or two ideas that are almost universally accepted. The geometry, for instance, they taught you at school is founded on a misconception.
My origami creations, in accordance with the laws of nature, require the use of geometry, science, and physics. They also encompass religion, philosophy, and biochemistry. Overall, I want you to discover the joy of creation by your own handthe possibility of creation from paper is infinite.
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