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Willem 's Gravesande

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Dutch mathematician and philosopher (1688–1742)

In thisDutch name, thesurname is 's Gravesande.
Willem 's Gravesande
Willem Jacob 's Gravesande (1688–1742)
Born26 September 1688
Died28 February 1742 (1742-03-01) (aged 53)
Alma materLeiden University
Known forExperimental proof ofEkmv2{\displaystyle E_{k}\propto {\begin{matrix}\end{matrix}}mv^{2}}
Scientific career
FieldsPhilosopher and mathematician
InstitutionsLeiden University
Doctoral advisorJohannes Voet
Doctoral studentsPieter van Musschenbroek,Jean Allamand

Willem Jacob 's Gravesande (26 September 1688 – 28 February 1742) was a Dutch mathematician andnatural philosopher, chiefly remembered for developing experimental demonstrations of the laws ofclassical mechanics and the first experimental measurement ofkinetic energy. As professor of mathematics, astronomy, and philosophy atLeiden University, he helped to propagateIsaac Newton's ideas in Continental Europe.

Life

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Portrait of Willem Jacob 's Gravesande. Etching byJ. Houbraken, after a drawing byJ. Wandelaar, 1725–1750.

Born in's-Hertogenbosch, 's Gravesande studied law atLeiden University, where he defended a thesis on suicide and earned a doctorate in 1707. He then practised law inThe Hague while also participating in intellectual discussions and cultivating his interest in the mathematical sciences. HisEssai de perspective ("Essay on Perspective"), published in 1711, was praised by the influential Swiss mathematicianJohann Bernoulli.[1] In The Hague, 's Gravesande also helped to establish theJournal littéraire ("Literary journal"), a learned periodical first published in 1713.[2]

In 1715, 's Gravesande visited London as part of a Dutch delegation sent to welcome theHanoverian succession in Great Britain.[2] In London, 's Gravesande met bothKing George I andIsaac Newton, and was elected a Fellow of theRoyal Society.[3] In 1717 he became professor ofmathematics andastronomy in Leiden. From that position, he was instrumental in introducing Newton's work to the Netherlands. He also obtained the chairs of civil and military architecture in 1730 and philosophy in 1734.[2] As a philosopher, he opposedfatalists likeHobbes andSpinoza and defended a concept of human liberty similar to that of Leibniz.[4]

's Gravesande was married to Anna Sacrelaire in 1720. They had two sons, both of whom died in adolescence. In 1724,Peter the Great offered 's Gravesande a position in the newImperial Saint Petersburg Academy of Sciences. In 1737 he received an offer fromFrederick the Great to join thePrussian Academy of Sciences in Berlin. He declined both offers, opting to remain in Leiden.[2]

Mechanics

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Title page of a 1747 copy of vol. 1 of Gravesande's "Mathematical Elements of Natural Philosophy"

Gravesande's main scientific work isPhysices elementa mathematica, experimentis confirmata, sive introductio ad philosophiam Newtonianam ("Mathematical Elements of Natural Philosophy, Confirmed by Experiments; or, an Introduction to Newtonian Philosophy"), published in Leiden in 1720. In that book, he laid the foundations for the teaching of Newtonian mechanics through experimental demonstrations. He presented his work before audiences that includedVoltaire,Albrecht von Haller, andÉmilie du Châtelet (the translator of Newton's Principia whose later commentary incorporated 's Gravesande's 1722 experimental discovery ofkinetic energy). 's Gravesande's book was soon translated into English byJohn Theophilus Desaguliers, curator of experiments for the Royal Society.[5]

In 1721, 's Gravesande became involved in a public controversy over whether the German inventorJohann Bessler, known as Councillor Orffyreus, had created a genuineperpetual motion machine. 's Gravesande at first argued for the feasibility of perpetual motion based on the conservation of "force" interpreted as the scalar quantitymv (mass multiplied byspeed), which he believed was implied by Newtonian mechanics.[6] However, in 1722 he published the results of a series of experiments in which brass balls were dropped from varying heights onto a soft clay surface. He found that two balls of the same size and different masses would make identical indentations when the heights they were dropped from were inversely proportional to their masses, from which he concluded that the correct expression for the "force" of a body in motion is proportional tomv2 (which is proportional to the modern concept ofkinetic energy).[7][8]

Even though those results invalidated his original argument for the feasibility of perpetual motion, 's Gravesande continued to defend Bessler's work, claiming that Bessler might have discovered some new "active principle" of nature that allowed his wheels to keep turning. Similar views were defended at the time byGottfried Wilhelm Leibniz, Johann Bernoulli, and others, but the modern consensus is that Bessler was perpetrating a deliberate hoax.[6] Russian TsarPeter the Great was interested in Bessler's wheel and sought 's Gravesande's advice on the subject.[9]

's Gravesande communicated his results on the impact of falling weights to Émilie du Châtelet.{citation needed} Similar observations were published in 1718 byGiovanni Poleni. The interpretation of 's Gravesande's and Poleni's results led to a controversy withSamuel Clarke and other Newtonians that became a part of the so-called "vis viva dispute" in the history ofclassical mechanics.[7]

's Gravesande's ring

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The ring of 's Gravesande

's Gravesande is also remembered for his invention of a simple experiment demonstratingthermal expansion, which has been used in physics education since. This is known today as "'s Gravesande's experiment" or "'s Gravesande's ring [fr]". The apparatus consists of a small metal ball on a chain or handle, and a metal ring on a stand. The ring is just big enough so that when the ring and ball are at the same temperature, the ball fits through the ring. However, if the ball is heated by dipping it into boiling water or playing the flame of a spirit lamp over it, the metal will expand, and the ball will no longer fit through the ring. When the ball has cooled down, it will fit through the ring again. This is 's Gravesande's own description of his experiment, under the heading"Of the Dilatation arising from Heat":[10]

The Aperture of the Copper Ring ... is circular, and it's Diameter is an Inch and an half; and this is the Diameter of the solid Ball ..., which is made of the same Metal; this can pass through the Aperture, without leaving any sensible Interstice. When the Globe is heated it is sustained by the Ring, in whatever Position it is laid; which Experiment alone shews that Bodies dilate every Way [in every dimension?].

Works

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  • 1720 copy of Gravesande's "Mathematical Elements of Physicks, Prov’d by Experiments"
    1720 copy of Gravesande's "Mathematical Elements of Physicks, Prov’d by Experiments"
  • Title page of "Mathematical Elements of Physicks, Prov’d by Experiments"
    Title page of "Mathematical Elements of Physicks, Prov’d by Experiments"
  • Preface to "Mathematical Elements of Physicks, Prov’d by Experiments"
    Preface to "Mathematical Elements of Physicks, Prov’d by Experiments"
  • Table from "Mathematical Elements of Physicks, Prov’d by Experiments"
    Table from "Mathematical Elements of Physicks, Prov’d by Experiments"

See also

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References

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  1. ^Google BooksKnight, C. (1841).Penny cyclopaedia of the Society for the Diffusion of Useful Knowledge, Volumes 21–22. Page 331. Retrieved 6 October 2009
  2. ^abcdAlbert van Helden,"Willem Jacob 's Gravesande, 1688–1742", inA History of Science in The Netherlands, eds. K. van Berkel, A. van Helden and L. Palm, (Leiden: Brill, 1999), pp. 450–453
  3. ^"Library and Archive catalogue". Royal Society. Retrieved28 February 2012.
  4. ^van Besouw, Jip (1 October 2020)."Willem Jacob 's Gravesande's philosophical trajectory: "between" Leibniz and Newton".Intellectual History Review.30 (4):615–640.doi:10.1080/17496977.2020.1723930.ISSN 1749-6977.
  5. ^"John Theophilus Desaguliers (1683–1744): popularising Newton",Isaac Newton and Newtonianism, Whipple Library, University of Cambridge
  6. ^abJenkins, Alejandro (2013). "The mechanical career of Councillor Orffyreus, confidence man".American Journal of Physics.81 (6):421–427.arXiv:1301.3097.Bibcode:2013AmJPh..81..421J.doi:10.1119/1.4798617.S2CID 118678318.
  7. ^abIltis, Carolyn (2009). "The Leibnizian-Newtonian Debates: Natural Philosophy and Social Psychology".The British Journal for the History of Science.6 (4):343–377.doi:10.1017/S000708740001253X.S2CID 144194873.
  8. ^Ducheyne, Steffen; van Besouw, Jip (2022), Jalobeanu, Dana; Wolfe, Charles T. (eds.),"'s Gravesande's Foundations for Mechanics",Encyclopedia of Early Modern Philosophy and the Sciences, Cham: Springer International Publishing, pp. 1837–1844,doi:10.1007/978-3-319-31069-5_40,ISBN 978-3-319-31067-1, retrieved16 September 2025
  9. ^Werrett, Simon (2010). "The Schumacher Affair: Reconfiguring Academic Expertise across Dynasties in Eighteenth-Century Russia".Osiris.25:104–126.doi:10.1086/657265.S2CID 145788508.
  10. ^'s Gravesande, Willem Jacob (1747) [1719-20].Mathematical elements of natural philosophy, confirm'd by experiments: Or, An introduction to Sir Isaac Newton's philosophy. Vol. 2. Translated by Desaguliers, J. T. (6th ed.). J. T. Desaguliers. p. 67.

Further reading

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  • S. Ducheyne,Physics in Minerva’s Academy: Early to Mid-Eighteenth-Century Appropriations of Isaac Newton’s Natural Philosophy at the University of Leiden and in the Dutch Republic at Large, 1687–c.1750 (Leiden: 2025), pp. 229–324.
  • A. R. Hall,"'s Gravesande, Willem Jacob", inDictionary of Scientific Biography, vol. V, (New York: 1972), pp. 509–11.
  • C. de Pater, "Experimental Physics", inLeiden University in the Seventeenth Century, An Exchange of Learning (Leiden: 1975), pp. 308–327.
  • J. van Besouw, "The impeccable credentials of an untrained philosopher: Willem Jacob's Gravesande's career before his Leiden professorship, 1688–1717",Notes and Records: The Royal Society Journal of the History of Science 70(3) (2016), pp. 231-249.

External links

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