Quote
"No one deserves to live who has not at least one good-man-and-true for a friend."
D
Democritus"Eudoxes... not only based the method [of exhaustion] on rigorous demonstration... but he actually applied the method to find the volumes (1) of any pyramid, (2) of the cone, proving (1) that any pyramid is one third part of the prism which has the same base and equal height, and (2) that any cone is one third part of the cylinder which has the same base and equal height. Archimedes, however, tells us the remarkable fact that these two theorems were first discovered by Democritus, though he was not able to prove them (which no doubt means, not that he gave no sort of proof, but that he was not able to establish the propositions by the rigorous methods of Eudoxes. Archimedes adds that we must give no small share of the credit for these theorems to Democritus... another testimony to the marvellous powers, in mathematics as well as in other subjects, of the great man who, in the words of Aristotle, "seems to have thought of everything". ...Democritus wrote on irrationals; he is also said to have discussed the question of two parallel sections of a cone (which were evidently supposed to be indefinitely close together), asking whether we are to regard them as equal or unequal... Democritus was already close on the track of infinitesimals."
Democritus was an Ancient Greek pre-Socratic philosopher from Abdera, primarily remembered today for his formulation of an atomic theory of the universe. Democritus wrote extensively on a wide variety of topics.
"No one deserves to live who has not at least one good-man-and-true for a friend."
"Of practical wisdom these are the three fruits: to deliberate well, to speak to the point, to do what is right."
"If one choose the goods of the soul, he chooses the diviner [portion]; if the goods of the body, the merely mortal."
"Tis well to restrain the wicked, and in any case not to join him in his wrong-doing."
"Seek after the good, and with much toil shall ye find it; the evil turns up of itself without your seeking it."
"Tis a grievous thing to be subject to an inferior."
"Dave Foley: I once shot a man just to watch him die, then I got distracted and missed it. Oh my friends tried to describe it to me, but it just isnt the same."
"Sharon Tate was my best friend. Once, we were roommates. She introduced me to my husband. She was the godmother to my baby daughter who is named for her. In the six years time that I knew her, she never said an unkind word about anyone."
"Is it so small a thing To have enjoy’d the sun, To have lived light in the spring, To have loved, to have thought, to have done; To have advanc’d true friends, and beat down baffling foes?"
"I cant play games. I have friends, older women, who tell me Im foolish to let Roman know how deeply I care about him. They tell me all sorts of things like "keep a man guessing", "men become bored with too much devotion". They tell me I am being foolish. Well, foolish I am."
"I guess you could say that I was somewhat withdrawn from my classmates. I spent a good deal of time being a loner. I suppose that had something to do with the way we lived — always on the move, never living in one town very long. Its very hard to make lasting friendships that way. And my father was rather strict with me and my two younger sisters. He insisted on proper behaviour and very often vetoed our choices of boyfriends. There was always a curfew whenever my sisters or I would go out on a date — we had to be home on time or else. But I never resented his authority. In fact, Im thankful for my strict upbringing; I feel it has helped me learn discipline — and thats very important in this business."
"You blessed my life! Never on me had rested womans love. My mother even could not find me fair: I had no sister; and, when grown a man, I feared the mistress who would mock at me. But I have had your friendship — grace to you A womans charm has passed across my path."