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1·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.

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。

2·The Pythagoras theorem is a deductive theorem, which can not be one primitive method as its tone series is formed through mathematical calculation.

毕达哥拉斯律是一种演绎律，它是用数学计算方法形成的音列，不可能成为一种原始的方法。

3·Pythagoras is best known for the theorem that bears his name, but it was discovered much earlier in Mesopotamia.

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。

4·Geometry has two great treasures, one is the theorem of Pythagoras; the other, the division of a line into extreme and mean ratio .

几何学有两大珍宝，其一是毕达哥拉斯定理，另一个是分一线段为中外比。

5·Pythagoras, who is remembered for his theorem about the sides of a right-angled triangle, lived around 540 BC, while Euclid, the best known geometer of the ancient world, lived around 300 BC.

生活在公元前540年左右的毕达哥拉斯，便提出了闻名于世的关于直角三角形各边的 勾股定理 。古代最知名的几何学家欧几里得生活在公元前300年左右。