Square Quotes - page 12
![It is just most delightful to me that I live in this way in the heart of Amsterdam. In a second you can eat somewhere and be back home again. You never have to wait for the tram. It is less than seven minutes [walking] from Dam Square. To me that is so unusual and so pleasant. I walk there daily.... the window [of his new studio] is about 2.25 m wide and high, and underneath a standing window of the same size, breadth-wise. (George Hendrik Breitner)](https://cdn.quotesdtb.com/img/quotes_images_webp/92/george-hendrik-breitner-daily-944292.webp)
It was early 1932, when Einstein and I both were at the California Institute of Technology in Pasedena, and we just decided to look for a simple relativistic model that agreed reasonably well with the known observational data, namely, the Hubble recession rate and the mean density of matter in the universe. So we took the space curvature to be zero and also the cosmological constant and the pressure term to be zero, and then it follows straightforwardly that the density is proportional to the square of the Hubble constant. It gives a value for the density that is high, but not impossibly high. That's about all there was to it. It was not an important paper, although Einstein apparently thought that it was. He was pleased to have a simple model with no cosmological constant. That's it.
Willem de Sitter
In electromagnetism... the law of the inverse square had been supreme, but, as a consequence of the work of Faraday and Maxwell, it was superseded by the field. And the same change took place in the theory of gravitation. By and by the material particles, electrically charged bodies, and magnets which are the things that we actually observe come to be looked upon only as "singularities" in the field. So far this transformation from the force to the potential, from the action at a distance to the field, is only a purely mathematical operation.
Willem de Sitter
In February 1917, it was found that a static solution with a positive curvature-the solution A-was not possible without the λ. In fact the curvature is proportional to λ (in solution A, λ is equal to the curvature; in B... it is three times the curvature). Thus, at the time when we had only the two static solutions A and B, and thought that these were the only possible ones, here was a plausible physical interpretation of the meaning of λ: it was the curvature of the world, and the square root of its reciprocal, the radius of curvature, could be conceived as providing a natural unit of length.
Willem de Sitter
If in two ellipses having a common major axis we take two such arcs that their chords are equal, and that also the sums of the radii vectores, drawn respectively from the foci to the extremities of these arcs, are equal to each other, then the sectors formed in each ellipse by the arc and the two radii vectores are to each other as the square roots of the parameters of the ellipses.
Johann Heinrich Lambert
Now, in New Jersey, we have more government workers per square mile than any state in America. But since I've been governor we now have fewer people on the state payroll at any time since Christie Whitman left office in January 2001. That's the right direction, Mr. President, not the wrong direction.
Chris Christie
It turns out that certain picture shapes don't allow you to use different kinds of quantity distributions of color for different expressions. The quantities and configurations of colors are as important as the colors themselves. When I first started painting circles, I went fairly quickly to a 6-foot square module. I think de Kooning said in an interview or artist's discussion that he only wanted to make gestures as big as his arm could reach. It struck me that he was saying this physical size had to do with the expressive size of the pictures he wanted to make. And as far as I know, when I got to the 6-foot square size, it was right in terms of myself and wasn't too much of a field. Or it was a field, yet it was still physical. And that's why I used it for so long.
Kenneth Noland
The Hindus introduced negative numbers... The first known use is Brahmagupta about 628; he also states the rules for the four operations with negative numbers. Bhāskara points out that the square root of a positive number is twofold, positive and negative. He brings up the matter of the square root of a negative number but says that there is no square root because a negative number is not a square. No definitions, axioms, or theorems are given.
The Hindus did not unreservedly accept negative numbers. Even Bhāskara, while giving 50 and -5 as two solutions of a problem, says, "The second value is in this case not to be taken, for it is inadequate; people do not approve of negative solutions."
Morris Kline
Ukraine has managed to preserve their language and culture, and national pride, which made it possible to assemble the force that could stand up to Russia. Belarusians, on the contrary, had been robbed, taking the national history and make sure that by 1917 the country did not exist, and all that it has today - thanks to Russia. People are deprived of their history and national identity, will not go to the square to fight for something that does not feel or understand.
Uladzimir Nyaklyayew
The method of exhaustion was not discovered all at once; we find traces of gropings after such a method before it was actually evolved. It was perhaps Antiphon. the sophist, of Athens, a contemporary of Socrates, who took the first step. He inscribed a square (or, according to another account, a triangle) in a circle, then bisected the arcs subtended by the sides, and so inscribed a polygon of double the number of sides; he then repeated the process, and maintained that, by continuing it, we should at last arrive at a polygon with sides so small as to make the polygon coincident with the circle. Thought this was formally incorrect, it nevertheless contained the germ of the method of exhaustion.
Thomas Little Heath
The Pythagoreans discovered the existence of incommensurable lines, or of irrationals. This was, doubtless, first discovered with reference to the diagonal of a square which is incommensurable with the side, being in the ratio to it of √2 to 1. The Pythagorean proof of this particular case survives in Aristotle and in a proposition interpolated in Euclid's Book X.; it is by a reductio ad absurdum proving that, if the diagonal is commensurable with the side, the same number must be both odd and even. This discovery of the incommensurable... showed that the theory of proportion invented by Pythagoras was not of universal application and therefore that propositions proved by means of it were not really established.... The fatal flaw thus revealed in the body of geometry was not removed till Eudoxus discovered the great theory of proportion (expounded in Euclid's Book V.), which is applicable to incommensurable as well as to commensurable magnitudes.
Thomas Little Heath
We show that it is natural to introduce the concept of black-hole entropy as the measure of information about a black-hole interior which is inaccessible to an exterior observer. Considerations of simplicity and consistency, and dimensional arguments indicate that the black-hole entropy is equal to the ratio of the black-hole area to the square of the Planck length times a dimensionless constant of order unity. A different approach making use of the specific properties of Kerr black holes and of concepts from information theory leads to the same conclusion, and suggests a definite value for the constant.
Jacob Bekenstein
My mantra is, 'Don't be afraid of color.' What did it do to you? Do a color testing in alternate kinds of light you desire in the room because the pigment will change. And I refuse to believe that pale pale or white colors in a small room will buy you more square footage. Go with color all the way.
Bryan Batt
