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He also improved the power and accuracy of the catapult. He developed an odometer which measured traveled distance in mile increments using a gear mechanism that would drop a ball every mile into a bucket.
Although Archimedes received great recognition for these ingenious and awe-inspiring innovations, he considered it ?°sordid and ignoble?± when applied ?°for use or profit?± (O'Connor & Robertson, 1999, ?O16)...
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Yet Archimedes is quoted in a translation of The Method to attest to the value he gained from his inventions, ?°?¦certain things first became clear to me by a mechanical method, although they had to be demonstrated by geometry afterwards ?¦. But it is of course easier, when we have previously acquired by the method, some knowledge of the questions, to supply the proof than it is to find it without any previous knowledge?± (O'Connor & Robertson, 2006)...
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The Impact of Mathematics on the Physical Sciences
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