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Abstract

To Newton analysis was necessary as a basis for the investigation of curves, which arise in mechanics and in geometry. We have already seen some ways in which curves arise. Other ways were found by Huygens, who investigated a number of problems in analysis, optics and mechanics. For example, 11 years before the first publications of Leibniz on analysis and 13 years before the appearance of “Newton’s laws” Huygens published his calculation of the centrifugal force in motion in a circle (that is, he twice differentiated a vector-valued function and used “Newton’s second law”).

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© 1990 Birkhäuser Verlag Basel

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Arnol’d, V.I. (1990). From Evolvents to Quasicrystals. In: Huygens and Barrow, Newton and Hooke. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9129-5_4

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  • DOI: https://doi.org/10.1007/978-3-0348-9129-5_4

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-7643-2383-7

  • Online ISBN: 978-3-0348-9129-5

  • eBook Packages: Springer Book Archive

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