Radius Quotes

I am convinced that there are more threats to American liberty within the 10 mile radius of my office on Capitol Hill than there are on the rest of the globe. (Ron Paul)
To the pure geometer the radius of curvature is an incidental characteristic - like the grin of the Cheshire cat. To the physicist it is an indispensable characteristic. It would be going too far to say that to the physicist the cat is merely incidental to the grin. Physics is concerned with interrelatedness such as the interrelatedness of cats and grins. In this case the "cat without a grin" and the "grin without a cat" are equally set aside as purely mathematical phantasies. View quote
Arthur Eddington
Sometimes it happens that a man's circle of horizon becomes smaller and smaller, and as the radius approaches zero it concentrates on one point. And then that becomes his point of view. View quote
David Hilbert
I have just now come from a party where I was its life and soul; witticisms streamed from my lips, everyone laughed and admired me, but I went away - yes, the dash should be as long as the radius of the earth's orbit ----------- and wanted to shoot myself. View quote
Søren Kierkegaard
I'd like to see the high schools put in a rule that limits recruitable athletes from playing on teams outside a 100-mile radius from their home or school. View quote
Dean Smith
We're on the same radius from the Earth, and then we start to swing around to where we're ahead of them on the velocity vector, so we come in relative to the station from this forward velocity position and dock on to the forward end of the Lab. View quote
Linda M. Godwin
'Stand By Me' was really great for me and my buddies; we'd all watch that together because that was us - we were down in the creek and hanging out every day and going on little adventures. I had about sixteen friends who are all about the same age as me and lived in a three-block radius. We spent our entire childhood down in that creek. View quote
Scoot McNairy
What struck me was some regularity in the anomaly. The rotational velocities were not just larger than expected, they became constant with radius. Why? Sure, if there was dark matter, the speed of stars would be greater, but the rotation curves, meaning the rotational speed drawn as a function of the radius, could still go up and down depending on its distribution. But they didn't. That really struck me as odd. So, in 1980, I went on my Sabbatical in the Institute for Advance Studies in Princeton with the following hunch: If the rotational speeds are constant, then perhaps we're looking at a new law of nature. If Newtonian physics can't predict the fixed curves, perhaps we should fix Newton, instead of making up a whole new class of matter just to fit our measurements. View quote
Mordehai Milgrom
I am a Victorian. When I was young, I lived as everybody else did at that time, in the centre of a circle with a radius of about ten miles- so far as a pair of horses could draw me. Beyond that I hardly ever went, and I was isolated from other parts of England in a way impossible to conceive by those who have only known England as a country of motor roads and motor cars. View quote
Stanley Baldwin
The subject of this book is the structure of space-time on length-scales from 10-13cm, the radius of an elementary particle, up to 1028cm, the radius of the universe. ...we base our treatment on Einstein's General Theory of Relativity. This theory leads to two remarkable predictions about the universe: first, that the final fate of massive stars is to collapse behind an event horizon to form a 'black hole' which will contain a singularity; and secondly, that there is a singularity in our past which constitutes, in some sense, a beginning to the universe. View quote
Stephen Hawking
To the cosmic corpuscles we should find it natural to attribute an individual radius of action as limited as their dimensions. We find, on the contrary, that each of them can only be defined by virtue of its influence on all around it. Whatever space we suppose it to be in, each cosmic element radiates in it and entirely fills it. However narrowly the heart of an atom may be circumscribed, its realm is co-extensive, at least potentially, with that of every other atom. This strange property we will come across again, even in the human molecule. (Pierre Teilhard de Chardin)
Spherical space is not very easy to imagine. We have to think of the properties of the surface of a sphere - the two-dimensional case - and try to conceive something similar applied to three-dimensional space. Stationing ourselves at a point let us draw a series of spheres of successively greater radii. The surface of a sphere of radius r should be proportional to r; but in spherical space the areas of the more distant spheres begin to fall below the proper proportion. There is not so much room out there as we expected to find. Ultimately we reach a sphere of biggest possible area, and beyond it the areas begin to decrease. The last sphere of all shrinks to a point - our antipodes. Is there nothing beyond this? Is there a kind of boundary there? There is nothing beyond and yet there is no boundary. On the earth's surface there is nothing beyond our own antipodes but there is no boundary there. View quote
Arthur Eddington
The major sites, such as Altamira, are often surrounded by smaller sites within a 10-mile radius, as if they were centers of political or social alliance. View quote
Richard Leakey
I returned to civilization shortly after that and went to Cornell to teach, and my first impression was a very strange one. I can't understand it any more, but I felt very strongly then. I sat in a restaurant in New York, for example, and I looked out at the buildings and I began to think, you know, about how much the radius of the Hiroshima bomb damage was and so forth... How far from here was 34th street?... All those buildings, all smashed - and so on. And I would go along and I would see people building a bridge, or they'd be making a new road, and I thought, they're crazy, they just don't understand, they don't understand. Why are they making new things? It's so useless. But, fortunately, it's been useless for almost forty years now, hasn't it? So I've been wrong about it being useless making bridges and I'm glad those other people had the sense to go ahead. View quote
Richard Feynman
Imam Rauf and his backers have every legal right to build their extravagant Islamic center within the lethal radius of Ground Zero. But the rest of us have the right to question why they insist on doing so. View quote
Ralph Peters
The radius vector describes equal areas in equal times. View quote
Johannes Kepler
We reckoned now that we were at the Pole. Of course, every one of us knew that we were not standing on the absolute spot; it would be an impossibility with the time and the instruments at our disposal to ascertain the exact spot. But we were so near it that the few miles which possibly separated us from it could not be of the slightest importance. It was our intention to make a circle around this camp, with a radius of twelve and a half miles (20 kilometers), and to be satisfied with that. After we had halted we collected and congratulated each other. ... we proceeded to the greatest and most solemn act of the whole journey - the planting of our flag. View quote
Roald Amundsen
In the "static" universe expansion is impossible, the "empty" universe does expand. Therefore we may be tempted to consider the empty universe as the most likely approximation; and we can proceed to compute the radius of curvature of the universe, supposing it to be of the empty type, from the observed rate of expansion. View quote
Willem de Sitter
It is easy to compute the density of a static universe of a radius of two thousand million lightyears, and it comes out only very little larger than the observed density. The actual universe is thus very far from empty, it is, on the contrary, nearly full. View quote
Willem de Sitter
In both the solutions A and B the curvature is positive, in both three-dimensional space is finite: the universe has a definite size, we can speak of its radius, and, in the case A, of its total mass. In the case A... the density is proportional to the curvature... Thus, if we wish to have a finite density in a static universe, we must have a finite positive curvature. View quote
Willem de Sitter
The way in which the universe expands is determined by the variation of this [radius of curvature] R with the time. There are three types, or families, of non-static universes... the oscillating universes, and the expanding universes of the first and of the second kind. ...each of these is a representative of a family, comprising an infinite number of members differing in size and shape. ...In the expanding family of the first kind the radius is continually increasing from... zero... In the expanding series of the second type the radius has at the initial time a certain minimum value, different for the different members of the family. [Both kinds of expanding families] become infinite after an infinite time. (Willem de Sitter)
Let the universe have only two dimensions, and let it be the surface of an india rubber ball. It is only the surface that is the universe, not the ball itself. ...Let there be specks of dust fixed to the surface to represent the different galactic systems. If the ball is inflated, the universe expands, and these specks of dust will recede from each other, their mutual distances, measured along the surface, will increase in the same rate as the radius of the ball. An observer in any one of the specks will see all the others receding from himself, but it does not follow that he is the centre of the universe. The universe (which is the surface of the ball, not the ball itself) has no centre. View quote
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. View quote
Willem de Sitter
It sounds rather strange to talk of an infinite universe still expanding. If we were certain that the curvature was negative, we might still, as in the case of positive curvature, replace the phrase "the universe expands" by the equivalent one "the curvature of the universe decreases." But if the curvature is zero, and remains zero throughout, what sort of meaning are we to attach to the "expansion"? The real meaning is, of course, that the mutual distances between the galactic systems, measured in so-called natural measure, increase proportionally to a certain quantity R appearing in the equations, and varying with the time. The interpretation of R as the "radius of curvature" of the universe, though still possible if the universe has a curvature, evidently does not go down to the fundamental meaning of it. View quote
Willem de Sitter
From a score of well-observed original orbits it is shown that the "new" long-period comets generally come from regions between about 50000 and 150000 A. U. distance. The sun must be surrounded by a general cloud of comets with a radius of this order, containing about 1011 comets of observable size; the total mass of the cloud is estimated to be of the order of 1/10 to 1/100 of that of the earth. Through the action of the stars fresh comets are continually being carried from this cloud into the vicinity of the sun. View quote
Jan Oort