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Isaac Newton on Mathematical Certainty and Method$
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Niccolo Guicciardini

Print publication date: 2009

Print ISBN-13: 9780262013178

Published to MIT Press Scholarship Online: August 2013

DOI: 10.7551/mitpress/9780262013178.001.0001

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The Synthetic Method of Fluxions

The Synthetic Method of Fluxions

(p.213) 9 The Synthetic Method of Fluxions
Isaac Newton on Mathematical Certainty and Method

Niccolò Guicciardini

The MIT Press

This chapter explores Newton’s synthetic method of fluxions, as provided in his works “Geometria Curvilinea,” the Principia, and the introduction to De Quadratura, and examines his synthetic quadrature of the cissoids. Newton perfected his newly developed synthetic method of fluxions in his treatise “Geometrica Curvilinea.” The chapter then explores the method of first and ultimate ratios, as stated in the Section, 1, Book 1, of the Principia.

Keywords:   Newton, synthetic method, ultimate ratios, Principia

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