Quotes About Geometry

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.

The play is independent of the pages on which it is printed, and 'pure geometries' are independent of lecture rooms, or of any other detail of the physical world.

Even a pure mathematician may find his appreciation of this geometry [applied geometry] quickened, since there is no mathematician so pure that he feels no interest at all in the physical world; but, in so far as he succumbs to this temptation, he will be abandoning his purely mathematical position.

Since Mikan, and before, basketball big men had been called pituitary freaks or glandular goons, but in some of the new criticism there was racial coding, as well. There were suggestions that the new NBA stars didn't appreciate or understand the game, its patterns, and its pure intangible qualities. The new stars were showboats, stars only because of physical advantages, which were unearned and unfair. ,,, The Dipper and others were changing the speed and geometry of the game.

You have to get old because of the geometry of spacetime.

If you take your thumb and your index finger and look right where they meet - go ahead and do that now - and relax your hand, you'll see a crinkle, and then a wrinkle within the crinkle, and a crinkle within the wrinkle. Right? Your body is covered with fractals.

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.

It relied on measures of geometrical objects: lengths of lines, areas of squares, volumes of cubes. All of these they called magnitudes. They thought of them as distinct from numbers and superior to them. This, I believe, is why Archimedes held pi at arm's length. He didn't know what to make of it. It was a strange, transcendent creature, more exotic than any number.

Each year surveyors had to redraw the boundaries of farmers' fields after the summer flooding of the Nile washed the borderlines away. That activity later gave its name to the study of shape in general: geometry, from the Greek g?, "earth," and metr?s, "measurer.

the idea of using infinity to solve difficult geometry problems has to rank as one of the best ideas anyone ever had.

But my best hunch (and, full disclosure, I personally love geometry) is that people enjoy it because it marries logic and intuition. It feels good to use both halves of the brain.

I BET I CAN guess your favorite math subject in high school. It was geometry.

Circles are the simplest curves in geometry. Yet, surprisingly, measuring them—quantifying their properties with numbers—transcends geometry.

Along with numbers, shapes mattered too. In ancient Egypt, the measurement of lines and angles was of paramount importance. Each year surveyors had to redraw the boundaries of farmers' fields after the summer flooding of the Nile washed the borderlines away. That activity later gave its name to the study of shape in general: geometry, from the Greek ge, "earth," and metres, "measurer.

Cubism Meets Calculus

Thus the hexagon argument demonstrates ? > 3.

What I'm trying to say is that his calculation of ? was heroic, both logically and arithmetically. By using a 96-gon inside the circle and a 96-gon outside the circle, he ultimately proved that ? is greater than 3 + 10/71 and less than 3 + 10/70.

If whole numbers and their ratios couldn't even measure something as basic as the diagonal of a perfect square, then all was not number. This deflating letdown may explain why later Greek mathematicians always elevated geometry over arithmetic. Numbers couldn't be trusted anymore. They were inadequate as a foundation for mathematics.

I was in Little League. I was on first base: I stole third. I ran straight across the diamond. Earlier in the week, I learned the shortest distance between two points is a straight line. I argued with the ump that second base was out of my way.

He deals the cards to find the answer The sacred geometry of chance The hidden law of a probable outcome The numbers lead a dance I know that the spades Are the swords of a soldier I know that the clubs are weapons of war I know that diamonds Mean money for this art But that's not the shape of my heart

If you look at the soap bubbles in the sink when you're doing dishes, you'll see the incredible diversity of shapes in there. There are cubes in there; there are decahedrons and tetrahedrons; there are odd, irregular shapes without names, you know.

Hausdorff dimension

The skill of making, and maintaining Common-wealths, consisteth in certain Rules, as doth Arithmetique and Geometry; not (as Tennis-play) on Practise onely: which Rules, neither poor men have the leisure, nor men that have had the leisure, have hitherto had the curiosity, or the method to find out.

Therefor I doubt not but, if it had been a thing contrary to any man's right of dominion, or to the interest of men that have dominion, 'that the three angles of a triangle should be equal to two angles of a square,' that doctrine should have been, if not disputed, yet by the burning of all books of geometry suppressed, as far as he whom it concerned was able.