Unrolling Time: Christiaan Huygens and the Mathematization of Nature
Cambridge University Press, 8 de jul. 2004 - 256 pàgines
This case study examines the interrelationship between mathematics and physics in the work of one of the major figures of the Scientific Revolution, the Dutch mathematician, physicist, and astronomer, Christiaan Huygens (1629-1695). Professor Yoder offers a detailed account of the discoveries that Huygens made at the end of 1659, including the invention of a pendulum clock that theoretically kept absolutely uniform time, and the creation of a mathematical theory of evolutes. She also describes the way that each of these important discoveries arose from the interaction of Huygens' mathematics and physics. A discussion of Huygens' relationship with other scientists and the priority disputes that sometimes motivated his research help place his work in the context of the period. The reception of Huygens' masterpiece, the Horologium Oscillatorium of 1673 and the place of evolutes in the history of mathematics are also analyzed. Finally, the role of Huygens in the rise of applied mathematics is addressed.
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accelerated motion analysis Apollonius applied arc length ball Bernoulli body Boulliau calculations catenary centrifugal force chord Christiaan Huygens circle circular claim conical pendulum conoid constant of gravitational cord curva curvature curved plates cycloid deﬁned deﬁnition derivation Descartes determine discovery distance equal ﬁgure ﬁnally ﬁnd ﬁnding ﬁrst ﬁxed formula free fall Galileo gens gens’s geometric gravitational acceleration gravity Heuraet Horologium Oscillatorium Huygens Huygens’s hyperbola inches inclined planes inﬁnitesimal inﬂuence involute isochronism Johann Bernoulli latus rectum Leibniz letter manuscript mathematical mathematicians measure mechanical Mersenne Mersenne’s experiment method Moray move Newton normals oscillation osculating circle paraboloid path pendulum clock physical priority problem proof proportion propositions qu’il quadrature quarter arc radius ratio rectiﬁcation reﬂected result rotation Schooten scientiﬁc semicubical parabola simple pendulum Sluse speciﬁc speed swing tangent technique tension theorem theory of evolutes tion treatise triangles Wallis weight Wren’s