001441947 000__ 03775cam\a2200517Ii\4500
001441947 001__ 1441947
001441947 003__ OCoLC
001441947 005__ 20230309003350.0
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001441947 020__ $$a9783030958176$$q(electronic bk.)
001441947 020__ $$a3030958175$$q(electronic bk.)
001441947 020__ $$z9783030958169$$q(print)
001441947 0247_ $$a10.1007/978-3-030-95817-6$$2doi
001441947 035__ $$aSP(OCoLC)1329970422
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001441947 049__ $$aISEA
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001441947 08204 $$a510.9$$223/eng/20220614
001441947 1001_ $$aAxworthy, Angela,$$d1981-$$eauthor.
001441947 24510 $$aMotion and genetic definitions in the Sixteenth-Century Euclidean tradition /$$cAngela Axworthy.
001441947 264_1 $$aCham, Switzerland :$$bBirkhäuser,$$c2021.
001441947 300__ $$a1 online resource (xv, 300 pages) :$$billustrations.
001441947 336__ $$atext$$btxt$$2rdacontent
001441947 337__ $$acomputer$$bc$$2rdamedia
001441947 338__ $$aonline resource$$bcr$$2rdacarrier
001441947 4901_ $$aFrontiers in the history of science,$$x2662-2572
001441947 504__ $$aIncludes bibliographical references and index.
001441947 5050_ $$a1. Introduction -- 2. Oronce Fine -- 3. Jacques Peletier -- 4. François de Foix-Candale -- 5. Henry Billingsley -- 6. John Dee -- 7. Federico Commandino -- 8. Christoph Clavius -- 9. Synthesis: Continuities and Transformations in the Status of Geometrical Motion and Genetic Definitions from Fine to Clavius -- 10. Later Developments in the Seventeenth Century: a Cartesian Epilogue.
001441947 506__ $$aAccess limited to authorized users.
001441947 520__ $$aA significant number of works have set forth, over the past decades, the emphasis laid by seventeenth-century mathematicians and philosophers on motion and kinematic notions in geometry. These works demonstrated the crucial role attributed in this context to genetic definitions, which state the mode of generation of geometrical objects instead of their essential properties. While the growing importance of genetic definitions in sixteenth-century commentaries on Euclid's Elements has been underlined, the place, uses and status of motion in this geometrical tradition has however never been thoroughly and comprehensively studied. This book therefore undertakes to fill a gap in the history of early modern geometry and philosophy of mathematics by investigating the different treatments of motion and genetic definitions by seven major sixteenth-century commentators on Euclid's Elements, from Oronce Fine (1494-1555) to Christoph Clavius (1538-1612), including Jacques Peletier (1517-1582), John Dee (1527-1608/1609) and Henry Billingsley (d. 1606), among others. By investigating the ontological and epistemological conceptions underlying the introduction and uses of kinematic notions in their interpretation of Euclidean geometry, this study displays the richness of the conceptual framework, philosophical and mathematical, inherent to the sixteenth-century Euclidean tradition and shows how it contributed to a more generalised acceptance and promotion of kinematic approaches to geometry in the early modern period.
001441947 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed June 14, 2022).
001441947 650_0 $$aEuclid's Elements.
001441947 650_0 $$aMathematics$$xPhilosophy$$xHistory.
001441947 650_0 $$aMathematics$$zFrance$$xHistory$$y16th century.
001441947 655_7 $$aHistory.$$2fast$$0(OCoLC)fst01411628
001441947 655_0 $$aElectronic books.
001441947 830_0 $$aFrontiers in the history of science,$$x2662-2572
001441947 852__ $$bebk
001441947 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-95817-6$$zOnline Access$$91397441.1
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001441947 983__ $$aOnline
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