Bisection methods were known to the ancient Greeks, and it is believed by many, even to the Babylonians.
二分法由古希腊人所发明,我以前也说过,一直到17世纪二分法都被。
In Italy, some of these cities were able to gain control of the surrounding country and to become city states, resembling those of the ancient Greeks.
在意大利,一些城市还潜移默化地,影响了周边的区域,形成了城邦,这与古希腊的城市情况非常相似
Consider the following passage that he writes: "As to rebellion against monarchy, one of the most frequent causes is the reading of the books of policy and history of the ancient Greeks and Romans.
他曾写道:,反抗君主统治的叛乱,最主要的原因是,古希腊,罗马关于政治和历史的书籍,在民间的传播。
So, what we're dealing here with is a situation where the ancient Greeks were very much into mathematics as a way of explaining the world and explaining music in particular And they thought these ratios were primary.
那么,我们现在要潜心琢磨,古希腊人热衷于,用数学来解释世界,尤其是音乐的这种情形,他们认为这些比例才是基础
That's very different from the Greeks, very different from other people in the Ancient Mediterranean.
这与希腊人非常不同,与其他古代地中海地区也不同。
But for the ancient Greeks that was not enough.
但对于希腊人来说,这样是不够的
This is part of the arrogance that is characteristic of the Ancient Greeks, but at the same time, and right away at the beginning we're getting to such a very Greek thing, a Greek characteristic.
这部分体现了古希腊人的特点,傲慢,但与此同时——,我们现在就要谈到到一个非常希腊式的事情,一个希腊人的特点——
The ancient Greeks had no soap.
古希腊人没有肥皂
Solon was now a man of full years, he was a man greatly respected, and he turns out to be one of the seven sages that the ancient Greeks selected for the wisest men who ever were.
梭仑那时年岁已高并且备受崇敬,他最后被选为古希腊历史上,最具智慧的七个智者之一
But for the Greeks, as I think for quite a few other people in the ancient world, death was nothing in the worst sense of the word.
而对希腊人而言,我认为同时对很多其他的,古代人而言皆亦然,死亡是最恐怖的
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