Not much younger than these (sc. Hermotimus of Colophon and Philippus of Mende) is Euclid, who put together the Elements, collecting many of Eudoxus' theorems, perfecting many of Theaetetus', and also bringing to irrefragable demonstration the things which were only somewhat loosely proved by his predecessors. This man lived in the time of the first Ptolemy. For Archimedes, who came immediately after the first (Ptolemy), makes mention of Euclid: and, further, they say that Ptolemy once asked him if there was in geometry any shorter way than that of the elements, and he answered that there was no royal road to geometry. He is then younger than pupils of Plato but older than Eratosthenes and Archimedes; for the latter were contemporary with one another, as Eratosthenes somewhere says.
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archimedes bringing came collecting colophon contemporary demonstration euclid geometry latter man mention once perfecting road royal say somewhat somewhere time way elements younger things eratosthenes mende plato ptolemy shorterRelated quotes
Economics is a science of thinking in terms of models joined to the art of choosing models which are relevant to the contemporary world. It is compelled to be this, because, unlike the typical natural science, the material to which it is applied is, in too many respects, not homogeneous through time. The object of a model is to segregate the semi-permanent or relatively constant factors from those which are transitory or fluctuating so as to develop a logical way of thinking about the latter, and of understanding the time sequences to which they give rise in particular cases.
Good economists are scarce because the gift for using "vigilant observation" to choose good models, although it does not require a highly specialised intellectual technique, appears to be a very rare one.
John Maynard Keynes
On the evening of the 29th, the army fell back to the north end of the Island. The next morning, the enemy advanced upon us in two columns upon the east and west road. Our light troops, commanded by Colonel Livingston and Colonel Laurens, attacked the heads of the columns about seven o'clock in the morning, but were beat back they were reinforced with a regiment upon each road. The enemy still proved too strong. General Sullivan formed the army in order of battle, and resolved to wait their approach upon the ground we were encamped on, and sent orders to the light troops to fall back. The enemy came up and formed upon Quaker Hill, a very strong piece of ground, within about one mile and a quarter of our line. We were well posted, with strong works in our rear, and a strong redoubt in front, partly upon the right of the line.
Nathanael Greene
Somewhere far away a bittern cried, a hollow, melancholy sound like a cow shut up in a barn. The cry of that mysterious bird was heard every spring, but no one knew what it was like or where it lived. At the top of the hill by the hospital, in the bushes close to the pond, and in the fields the nightingales were trilling. The cuckoo kept reckoning someone's years and losing count and beginning again. In the pond the frogs called angrily to one another, straining themselves to bursting, and one could even make out the words: "That's what you are! That's what you are!" What a noise there was! It seemed as though all these creatures were singing and shouting so that no one might sleep on that spring night, so that all, even the angry frogs, might appreciate and enjoy every minute: life is given only once.
Anton Chekhov
At the end of the bronze age a residue of Greek tribes stayed behind in Southern Macedonia[...] one of these, the "Makedones" occupied Aegae and expanded into the coastal plain of lower Macedonia which became the Kingdom of Macedon; their descendants were the Macedonians proper of the classical period and they worshipped Greek gods. The other Greek tribes became intermingled in upper Macedonia with Illyrians, Paeonians and Thracians[...] in the early 5th century the royal house of Macedon, the Temenidae was recognised as Greek by the Presidents of the Olympic Games. Their verdict was and is decisive. It is certain that the Kings considered themselves to be of Greek descent from Heracles son of Zeus. "Macedonian" was a strong dialect of very early Greek which was not intelligible to contemporary Greeks.
N.G.L. Hammond
See, before the Flood came, the people lived to be 900. But after the Flood, life spans dropped off to 400, and then 200, and then 100; but that's still a long time to live. And it's a simple fact the bones of your eyebrow ridge never stop growing. So if you could live to be three or four hundred years old, your eyebrow ridge would stick way out! People today that use their jaws a lot, like the Aborigines in Australia always using their jaws as a vice (they don't carry a toolbox with them), their eyebrow ridge sticks out really far, because of the chewing muscles. It pulls on the bone. The Neanderthals are perfectly normal humans that are living to be two or three hundred years old. That's all they are. Their brain's bigger than ours. They're not subhuman at all!
Kent Hovind
