作业帮英文 无理数的由来英文
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英文 无理数的由来
英文
英文
It has been suggested that the concept of irrationality was implicitly accepted by Indian mathematicians since the 7th century BC,when Manava (c.750–690 BC) believed that the square roots of numbers such as 2 and 61 could not be exactly determined,but such claims are not well substantiated and unlikely to be true.
The first proof of the existence of irrational numbers is usually attributed to a Pythagorean (possibly Hippasus of Metapontum),who probably discovered them while identifying sides of the pentagram.The then-current Pythagorean method would have claimed that there must be some sufficiently small,indivisible unit that could fit evenly into one of these lengths as well as the other.However,Hippasus,in the 5th century BC,was able to deduce that there was in fact no common unit of measure,and that the assertion of such an existence was in fact a contradiction.He did this by demonstrating that if the hypotenuse of an isosceles right triangle was indeed commensurable with an arm,then that unit of measure must be both odd and even,which is impossible.
已经很详细了.主要是无理数的历史,里面没有什么比较难的词,你也应该能看懂吧.
The first proof of the existence of irrational numbers is usually attributed to a Pythagorean (possibly Hippasus of Metapontum),who probably discovered them while identifying sides of the pentagram.The then-current Pythagorean method would have claimed that there must be some sufficiently small,indivisible unit that could fit evenly into one of these lengths as well as the other.However,Hippasus,in the 5th century BC,was able to deduce that there was in fact no common unit of measure,and that the assertion of such an existence was in fact a contradiction.He did this by demonstrating that if the hypotenuse of an isosceles right triangle was indeed commensurable with an arm,then that unit of measure must be both odd and even,which is impossible.
已经很详细了.主要是无理数的历史,里面没有什么比较难的词,你也应该能看懂吧.