当考虑到古代的数学时，我们往往首先想到的是毕达哥拉斯和欧几里德。
When we think of ancient mathematics, the first names that come to mind are Pythagoras and Euclid.
我们发现，在希腊哲学家中，毕达哥拉斯和柏拉图以及他们的追随者相信灵魂轮回或转生。
Among the Greek philosophers we find that Pythagoras, Plato and their followers believed in this theory of Metempsychosis or Transmigration of souls.
肯尼迪博士说，解开密码的关键是来自于希腊音阶的12个音符，他所提到的曾在毕达哥拉斯的追随者之间流行。
Dr Kennedy said the key to unlocking the code came from the 12 notes of the Greek musical scale, which he said was popular among followers of Pythagoras.
毕达哥拉斯学派开始通过这些研究探索合弦与声学。
The Pythagorean School began the scientific exploration of harmony and acoustics through these studies.
随着研究继续深入到这段古老历史的边缘，毕达哥拉斯定理是否会被一个古老的巴比伦文人的名字来取代，仍然有待于进一步的观察。
With research continuing into this strand of ancient history, it remains to be seen whether Pythagoras's theorem will come to bear the name of an old Babylonian scribe instead.
毕达哥拉斯最出名的是与他同名的定理，不过这一定理在美索不达米亚更早被人们发现。
Pythagoras is best known for the theorem that bears his name, but it was discovered much earlier in Mesopotamia.
我们所知的就是赫拉克利特曾提及他，说他生活在毕达哥拉斯的时代，并且他是毕氏的批评者，这样我们就能够推测出他生活的年代与毕氏是大致相同的。
What is known is that Heraclitus mentions him as a contemporary and critic of Pythagoras, and we can thus date him as living roughly at around the same time.
看起来毕达哥拉斯的定理，似乎来自于欧几里德的三角形理论，从欧几里德几何学的发现中可以简单地推理出来。
It seems that the proof of Pythagoras's theorem comes pretty much from just consulting the ideas of Euclidean triangle, the exhume of Euclidean geometry and simply doing inferences from those.
在长达五年的研究里，肯尼迪博士发现，死于约公元前347年的柏拉图使用了这些从毕达哥拉斯的前追随者那里继承来的符号。
In his five year study, Dr Kennedy found Plato, who died around 347bc, used the symbols inherited from the ancient followers of Pythagoras.
同样，他对毕达哥拉斯学派关于灵魂转世的教条持批评的态度，并将这种教条扩展并调侃道：一个人的灵魂能够寄居在另一种动物的身体中。
Likewise, he criticized Pythagoras' doctrine of the transmigration of souls, making fun of the idea that a human soul could inhabit another animal.
“当我们思考古代数学的时候，我首先想到的是毕达哥拉斯和欧几里德，”她说，但“这不应该是这样。”
"When we think of ancient mathematics, the first names that come to mind are Pythagoras and Euclid," she said, but that "this shouldn't be the case."
Marmash先复习了毕达哥拉斯定理，接着让学生思考：在同样的果汁问题中，这个定理是否适用于三角形或圆柱体。
Marmash reviews the Pythagorean theorem then challenges students to ask themselves if the theory remains valid for triangles or cylinders, such as the ones in the juice problem.
但是问到关于奥克斯博湖，毕达哥拉斯定理或者PatsyKensit主演的电影中她的野兽使用的致命武器，我们可以立马告诉你。
Ask us about oxbow lakes, Pythagoras's theorem or which Lethal Weapon starred Patsy Kensit's breasts and we can tell you in a flash.
在毕达哥拉斯定理中还有更复杂的例子。
我还想明白毕达哥拉斯的乘方，通过乘方数控制万物的变化。
And I have tried to grasp the * Pythagorean power by which number holds control above the change.
比如，你一直弄不清楚为什么：刚读过毕达哥拉斯定理，马上又读约翰尼斯·开普勒。
For instance, you're never quite sure why, having just read about the Pythagorean theorem, you're now reading about Johannes Kepler.
安乐死的理论有很长久的历史。毕达哥拉斯、培根和康德提出和支持安乐死。
The theory of euthanasia has a long history. Pythagoras, Bacon, and Kant, have put forward and support of euthanasia.
毕达哥拉斯是我的朋友在这些日子。
他因以自己名字命名的毕达哥拉斯定理而最为知名。
He is best known for the Pythagorean theorem, which bears his name.
布置的作业是作一个可以用于证明毕达哥拉斯定理的图。
The assignment was to make a construction that could be used in proving the pythagorean theorem.
Devlin说，最复杂的部分便是我们熟知的毕达哥拉斯定理。
The most complicated part, Devlin says, is our good old friend the Pythagorean theorem.
毕达哥拉斯是一个有争议的人。 。
即使承认这一看法，西方最早给出勾股定理证明的时间也不会早于公元前585年，即相传毕达哥拉斯出生的那一年。
Even if admit this view, in the western countries the time of first proof of the Pythagoras theorem is not probably early than epoch ago 585 year.
你最适合做数学。你应该学数学专业。和毕达哥拉斯一样，你有理性的分析的头脑，总是时刻准备着克服所有难题。
You scored as Mathematics. You should be a Math major! Like Pythagoras, you are analytical, rational, and when are always ready to tackle the problem head-on!
你最适合做数学。你应该学数学专业。和毕达哥拉斯一样，你有理性的分析的头脑，总是时刻准备着克服所有难题。
You scored as Mathematics. You should be a Math major! Like Pythagoras, you are analytical, rational, and when are always ready to tackle the problem head-on!
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