Radii Quotes
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.
Arthur Eddington
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
So thoroughly and sincerely are we compelled to live, reverencing our life, and denying the possibility of change. This is the only way, we say; but there are as many ways as there can be drawn radii from one centre. All change is a miracle to contemplate; but it is a miracle which is taking place every instant.
Henry David Thoreau
The Ultimate Truth is called God. This one can realize in the state of Nirvikalpa Samadhi. A circle can have only one centre but it can have numerous radii. The centre can be compared to God and the radii to religions. So, no one sect, no one religion or book can make an absolute claim of It. He who works for It gets It.
Swami Narayanananda
We are not living in a world where all roads are radii if a circle and where all, if followed long enough, will therefore draw gradually nearer and finally meet at the centre: rather in a world where every road, after a few miles, forks into two, and each of those into two again, and at each fork you must make a decision.
C. S. Lewis
