When Newton began his mathematical career in the mid-1660s, the problem of determining the tangent to a plane curve was basically solved, either by kinematic methods à la Roberval (and this was often the case with “mechanical lines,” what we call transcendental curves) or by pre-calculus methods à la Hudde (and this was the case with “geometrical lines”, what we call algebraic curves) (Malet 1996). True: the formulation of an effective notation and the identification of a basic set of rules was yet to come.
Newton on Quadratures: A Brief Outline / N. Guicciardini Corsi Salviati (BOSTON STUDIES IN THE PHILOSOPHY OF SCIENCE). - In: Theory, Evidence, Data: Themes from George E. Smith[s.l] : Springer Nature, 2023. - ISBN 978-3-031-41040-6. - pp. 197-222 [10.1007/978-3-031-41041-3_10]
Newton on Quadratures: A Brief Outline
N. Guicciardini Corsi Salviati
2023
Abstract
When Newton began his mathematical career in the mid-1660s, the problem of determining the tangent to a plane curve was basically solved, either by kinematic methods à la Roberval (and this was often the case with “mechanical lines,” what we call transcendental curves) or by pre-calculus methods à la Hudde (and this was the case with “geometrical lines”, what we call algebraic curves) (Malet 1996). True: the formulation of an effective notation and the identification of a basic set of rules was yet to come.
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