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 SamosRelated topics
axis bright centre circle circumference cone dark diameter dividing double draw less line meeting moon move portion proposition ratio right shadow straight sunRelated quotes
What is a charitable heart? It is a heart which is burning with love for the whole creation, for men, for the birds, for the beasts ... for all creatures. He who has such a heart cannot see or call to mind a creature without his eyes being filled with tears by reason of the immense compassion which seizes his heart; a heart which is softened and can no longer bear to see or learn from others of any suffering, even the smallest pain being inflicted upon a creature. That is why such a man never ceases to pray for the animals ... [He is] ... moved by the infinite pity which reigns in the hearts of those who are becoming united with God.
Isaac the Syrian
A cup of wine, under the flowering trees;
I drink alone, for no friend is near.
Raising my cup I beckon the bright moon,
For he, with my shadow, will make three men.
The moon, alas, is no drinker of wine;
Listless, my shadow creeps about at my side.
Yet with the moon as friend and the shadow as slave
I must make merry before the Spring is spent.
To the songs I sing the moon flickers her beams;
In the dance I weave my shadow tangles and breaks.
While we were sober, three shared the fun;
Now we are drunk, each goes his way.
May we long share our odd, inanimate feast,
And meet at last on the Cloudy River of the sky.
Li Bai
They are at least proof of the inalienable part played, in the functioning of our complex vision, by sensation as an organ of research. But they have a further interest. They are an illuminating revelation of the inherent character and personal bias of the individual soul who is philosophizing. I suppose to a great many minds what we call "the universe" presents itself as a colossal circle, without any circumference, filled with an innumerable number of material objects floating in some thin attenuated ether. I suppose the centre of this circle with no circumference is generally assumed to be the "self" or "soul" of the person projecting this particular image.
John Cowper Powys
Whoever participates in universal Knowledge will regard two apparently contradictory truths as he would two points situated on one and the same circumference that links them together by its continuity and so reduces them to unity; in the measure in which these points are distant from and thus opposed to one another there will be contradiction and this contradiction will reach its maximum when the two points are situated at the extremities of a diameter of the circle; but this extreme opposition or contradiction only appears as a result of isolating the points under consideration from the circle and ignoring the existence of the latter.
Frithjof Schuon
To anyone who is not an artist it must seem rather strange that Degas who could do anything - for whom setting down what he saw presented no difficulties at all - should have continued to draw the same poses year after year - often, it would seem, with increasing difficulty. Just as a classical dancer repeats the same movements again and again, in order to achieve a greater perfection of line and balance, so Degas repeats the same motifs, it was one of the things that gave him so much sympathy with dancers. He was continually struggling to achieve an idea of perfect form, but this did not prevent him looking for the truth in what might seem an artificial situation.
Kenneth Clark
