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There and then he calculated what force from the earth would hold the moon, and compared it with the known force of gravity at tree height. The forces agreed; Newton says laconically, "I found the answer pretty nearly." Yet they agreed only nearly: the likeness and the approximation go together, for no likeness is exact. In Newton’s science modern science is full grown.

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牛顿当即测算了地球要吸引住月球需要多大的力,并将其与果树高度的已知地球引力作了比较。两种力是一致的。牛顿扼要地说道:“我发现答案十分接近。”然而,两者之间只是接近而已:相似与接近是不可分割的,因为没有一种相似是绝对精确的。正是从牛顿的科学中现代科学才得到了充分的发展。

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