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How did Archimedes discover the law of buoyancy by experiment?

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Abstract

After Archimedes and Vitruvius era, for more than 2000 years, it has been believed that the displaced water measurement of golden crown is impossible, and at his Eureka moment, Archimedes discovered the law of buoyancy (Proposition 7 of his principles) and proved the theft of a goldsmith by weighing the golden crown in water.

A previous study showed that a small amount of displaced water was able to be measured with enough accuracy by the introduced method. Archimedes measured the weight of displaced water. He did not find the law of buoyancy but rather specific gravity of things at the moment.

After which, Archimedes continued to measure the specific gravity of various solids and fluids. Through these measurements, he reached the discovery of the law of buoyancy directly by experiment. In this paper, the process to the discovery of Archimedes’ principle (Proposition 5) is presented.

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References

  1. Pollio M V. Ten Books on Architecture (trans. Morgan M H). Cambridge: Harvard University Press, 2010 (Original work published 1st century BC)

  2. Pollio MV. Kenchikusho (in Japanese, trans. Morita Keiichi). Tokyo: Toukai University Press, 1979 (Original work published 1st century BC)

    Google Scholar 

  3. Galileo Galilei. The Little Balance (in Japanese, trans. Toshiyuki Fujita). Skaino-Meicho, 1975, 21: 36–41 (Original work published 1586)

    Google Scholar 

  4. Archimedes Homepage by Prof. Chris Rorres of Drexel University. http://www.math.nyu.edu/~crorres/Archimedes

  5. Encyclopaedia Britannica Inc. The New Encyclopaedia Britannica. 15th ed. Encyclopaedia Britannica, 2007

    Google Scholar 

  6. Kuroki H. What did Archimedes find at “Eureka” moment? In: Paipetis S A, Ceccarelli M, eds. The Genius of Archimedes—23 Centuries of Influence on Mathematics, Science and Engineering. Amsterdam: Springer, 2010, 265–276

    Google Scholar 

  7. Heath T L. The Works of Archimedes. Cambridge: Cambridge University Press, 1897, 253–260

    Google Scholar 

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Authors and Affiliations

  1. Okazaki, Aichi-ken, 444-0076, Japan

    Hidetaka Kuroki

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  1. Hidetaka Kuroki
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Correspondence to Hidetaka Kuroki.

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Kuroki, H. How did Archimedes discover the law of buoyancy by experiment?. Front. Mech. Eng. 11, 26–32 (2016). https://doi.org/10.1007/s11465-016-0368-z

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  • DOI: https://doi.org/10.1007/s11465-016-0368-z

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