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Unrolling time: Christiaan Huygens and the mathematization of nature

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Author(s): Yoder, Joella G
Publisher: Cambridge University Press
Year: 1988

Language: English
Pages: 254
City: Cambridge, GBR
Tags: Huygens, Christiaan, -- 1629-1695.;Mathematics -- Early works to 1800.;Science -- Mathematics -- Early works to 1800.

Content: Cover
Half-title
Title
Copyright
Contents
Preface
1 Introduction
2 Accelerated motion: gravity
Mersenne's problem
Riccioli's attempt
3 Accelerated motion: centrifugal force
De Vi Centrifuga
The conical pendulum
Precursors
4 Accelerated motion: curvilinear fall
The Galilean treatise. The isochronism of the cycloid The pendulum clock
5 Evolutes
The rectification of the cycloid
The evolute of the cycloid
The evolute of the parabola
The general formula
6 Curvature
Apollonius and minimal lines
Newton and measure
Leibniz and structure
7 Rectification. Priority and the parabola Evolutes and rectification
Priority and the pendulum
Dimension reduction and pi
Geometry and the calculus
8 Diversions
Sea trials
The universal measure
The compound pendulum
Further discoveries
Caustics
9 Conclusion
Notes.