Circle Quotes - page 17
After settling the affairs of Ajmir, the conqueror marched "towards Dehli (may God preserve its prosperity and perpetuate its splendour!) which is among the chief (mother) cities of Hind. When he arrived at Dehli, he saw " a fortress which in height and strength had not its equal nor second throughout the length and breadth of the seven climes." The army encamped around the fort. " A torrent of blood flowed on the field of battle, and it became evident to the chiefs that if they did not seek for safety from the sword of the king of the earth, and if they should deliver into the hands of Satan the time of option and the reins of good counsel, the condition of Dehli would be like that of Ajmir; so from the dread of kingly punishment, the Rai and mukaddams of that country placed their heads upon the line of slavery, and their feet within the circle of obedience, and made firm the conditions of tribute [mdlguzdrt) and the usages of service.
Muhammad of Ghor
Man's hope is transformed into faith when he no longer thinks of himself alone, that is, of his salvation here and now, or of his eternal salvation (the latter, if I may say so, with calculating sanctimoniousness). Hope is transformed into faith when man associates the future with the emergence of a community whose concerns will reach beyond its everyday concrete reality. Such a community will not be composed merely of man's immediate circle of friends or family nor will it include only those who share his own cherished beliefs; indeed, it will even cut across the borders of his own country because it will represent the community of mankind.
Hermann Cohen
And suddenly the circle came together for me. We were as a civilization making one big mistake, a mistake that was understandable because we had been raised to make it. We had been culturally indoctrinated to believe it to be not a mistake at all, but rather a normal and healthy habit. But this mistake was killing us as individuals just as it was destroying our land and our forests and our rivers. We were eating dead animals, and it wasn't working. If those animals had set out to take their revenge on us, they couldn't have done a better job.
Howard F. Lyman
By Mammonism is to be understood: on the one hand, the overwhelming international money-powers, the supragovernmental financial power enthroned above any right of self-determination of peoples, international big capital, the purely Gold International; on the other hand, a mindset that has taken hold of the broadest circle of peoples; the insatiable lust for gain, the purely worldly-oriented conception of life that has already led to a frightening decline of all moral concepts and can only lead to more.
Gottfried Feder
Because they [the ancient Greeks] feared infinite processes they missed the limit process. In approximating a circle by a polygon they were content to make the difference smaller than any given quantity, but something positive was always left over. Thus the process remained clear to the intuition; the limit process, on the other hand, would have involved the infinitely small.
Morris Kline
But with the passing of time, a peasant became a tribal and from tribal a beast. William Finch, writing at Agra about 1610 C. E., describes how Jahangir and his nobles treated them - during Shikar. A favourite form of sport in Mughal India was the Kamargha, which consisted in enclosing a tract of country by a line of guards, and then gradually contracting the enclosure until a large quantity of game was encircled in a space of convenient size. "Whatever is taken in this enclosure” (Kamargha or human circle), writes Finch, "is called the king's shikar or game, whether men or beasts... The beasts taken, if man's meat, are sold... if men they remain the King's slaves, which he sends yearly to Kabul to barter for horses and dogs: these being poor, miserable, thievish people, that live in woods and deserts, little differing from beasts.”89 W. H. Moreland adds: "Other writer (also) tell it besides Finch.”.
Jahangir
As science has penetrated the atom, we've discovered that solid matter consists mainly of empty space. We've discovered that inert objects, such as rocks, consist of particles whirling round each other trillions of times a second. Likewise, believers and nonbelievers in God may both be right, just traveling the same circle in opposite directions.
Robert Lanza
Most of the world's people have been robbed of their freedom by tyrants... In the last century alone, 272,000,000 were shot, burned, stabbed, tortured, beaten, starved to death, blasted to death, buried alive, or whatever other ways of murdering their slaves these thugs could imagine. This horrific and evil toll of bodies could head-to-toe circle the earth more than ten times. It is as though a catastrophic nuclear war had happened, but its mountain of deaths spread over each day of the last century.
Rudolph Rummel
[Hypotheses]
1. That the Moon receives its light from the sun.
2. That the earth is in the relation of a point and centre to the sphere in which the moon moves.
3. That, when the moon appears to us halved, the great circle which divides the dark and the bright portions of the moon is in the direction of our eye.
4. That, when the moon appears to us halved, its distance from the sun is then less than a quadrant by one-thirtieth of a quadrant.
5. That the breadth of the (earth's) shadow is (that) of two moons.
6. That the moon subtends one fifteenth part of a sign of the zodiac.
Aristarchus of Samos
Proposition 13. The straight line subtending the portion intercepted within the earth's shadow of the circumference of the circle in which the extremities of the diameter of the circle dividing the dark and the bright portions in the moon move is less than double of the diameter of the moon, but has to it a ratio greater than that which 88 has to 45; and it is less than 1/9th part of the diameter of the sun, but has to it a ratio greater than that which 22 has to 225. But it has to the straight line drawn from the centre of the sun at right angles to the axis and meeting the sides of the cone a ratio greater than that which 979 has to 10125.
Aristarchus of Samos
Proposition 5. When the moon appears to us halved, the great circle parallel to the circle which divides the dark and the bright portions in the moon is then in the direction of our eye; that is to say, the great circle parallel to the dividing circle and our eye are in one plane.
Aristarchus of Samos
By the time of Hippocrates of Chios the scope of Greek geometry was no longer even limited to the Elements; certain special problems were also attacked which were beyond the power of the geometry of the straight line and circle, and which were destined to play a great part in determining the direction taken by Greek geometry in its highest flights. The main problems in question were three: (1) the doubling of the cube, (2) the trisection of any angle, (3) the squaring of the circle; and from the time of Hippocrates onwards the investigation of these problems proceeded pari passu with the completion of the body of the Elements.
Thomas Little Heath
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
