Article citationsMore>>

Dhombres, J. (2014). Could or should Gregory of Saint-Vincent have had to use indivisibles to present his own quadrature of the hyperbola that led to the logarithm and to the exponential? To appear in a book by Birkhaüser Verlag, directed by Vincent Jullien, and entitled: Indivisibles.

has been cited by the following article:

• TITLE: A Tentative Interpretation of the Epistemological Significance of the Encrypted Message Sent by Newton to Leibniz in October 1676

  AUTHORS: Jean G. Dhombres

  KEYWORDS: Leibniz; Newton; Calculus Principia; Binomial Series; Controversy; Vice Versa

  JOURNAL NAME: Advances in Historical Studies, Vol.3 No.1, February 28, 2014

  ABSTRACT: In Principia mathematica philosophi? naturalis (1687), with regard to binomial formula and so general Calculus, Newton claimed that Leibniz proposed a similar procedure. As usual within Newtonian style, no explanation was provided on that, and nowadays it could only be decoded by Newton himself. In fact to the point, not even he gave up any mention of Leibniz in 1726 on the occasion of the third edition of the Principia. In this research, I analyse this controversy comparing the encrypted passages, and I will show that at least two ideas were proposed: vice versa and the algebraic handing of series.