#DE QUADRATURA CIRCULI PRO#
#DE QUADRATURA CIRCULI SERIES#

Quod plerumque etiam illi sumere pro confesso solent, qui severas demonstrationes afferre profitentur” (AVII6, 51, p. Hoc unum enim tantum conficit duo spatia, quorum unum in alterum desinit si in infinitum inscribendo progrediare etiam numero inscriptionum manente finito tantum, ad differentiam assignata quavis minorem sibi appropinquare. Ac satius erit eam praeteriri ab initio, reque tota intellecta tum demum legi, ne ejus scrupulositas fatigatam immature mentem a reliquis, longe amoenioribus, absterreat. “Hujus propositionis lectio omitti potest, si quis in demonstranda prop.

Ms 98), should be dated to around the same period. Most likely, Leibniz’s annotations to Huygens’ copy of the VCHQ (in particular, Proposition 10, 25), to be found in the Library of Hannover (Marg. At any rate, its dating is still uncertain, although it was possibly written during Leibniz’s stay in Hannover (it might well be related to the exchanges with Wallis from 1697). As can be read in the manuscript, the paralogism concerns Gregory’s definition of convergent series, not his impossibility arguments.

121), which refers to a purported “paralogism” committed by Gregory. This piece is also mentioned in Breger 1986, p. Gregorii cum circuli algebraice quadrari posse negat, LH 35, XIII, 1, Bl. Finally, there is a later manuscript ( Paralogsmus Jac. Although Leibniz claims here that he only skimmed through Gregory’s book, he probably read the first part, concerning Gregory’s impossibility argument, as we may especially suppose in the light of the manuscripts now published, such as: AVII,6 n. Gregorii perbrevem libellum in 4 in quo videbatur aliqua contineri promotio serierum convergentium, sed aenigmaticos quamquam mihi inspicere tantum in transitu non legere vacarit” (AIII, 7, p. Gregorius insignis geometra olim lapsus erat, quaemadmodum recte a viro celeberrimo Christiano Hugenio fuit observatum.” Other critical references to Gregory can be found in a letter to Wallis, dated May 28 (or June 7) 1697, in which Leibniz remarked: “Ostendit mihi olim Hugenius Parisiis Jac. 174), and in the context of a controversy on Tschirnhaus’ alleged method for the integrability of algebraic curves: “Id ipsum scilicet ego objeci, verum hujus precautionis nullum in ejus edito Schediasmate reperitur vestigium, sed quia probaverat non dari quadraturam circuli portionumque ejus indefinitam, quod dudum constabat, sine haesitatione concluserat impossibilitatem quadraturae totius circuli, in quo argumentandi modo et Jac. For instance, Leibniz was outspoken about this in a letter to Tschirnhaus, from 1684 (AIII, 4, p. Gregory’s achievements were discussed by Leibniz on other occasions too, all of which, however, fell after 1676, and thus outside the historical bounds of this study. Finally, I shall use the abbreviation ‘LSG’ for Gerhardt’s historical edition of Leibniz’s mathematical works published in seven volumes (1849–1863, Leibniz 1849–1863). See also Leibniz ( 2004) for a French translation, and Leibniz ( 2015) for a Spanish translation.). A new, recent edition of Leibniz’s treatise, with a German translation, is Leibniz ( 2016). Knobloch in 1993 (for simplicity, I will use the shorthand ‘LKQ’ in order to refer to Knobloch’s edition. In particular, AVII6, 51 contains a new critical edition of De quadratura arithmetica, with an additional passage with respect to the first edition released by E.

#DE QUADRATURA CIRCULI SERIES#

Thus, ‘AVII6’ will refer to the sixth volume of the seventh series of the Edition of the Akademie der Wissenschaften, and ‘AVII6, 51’ will refer to the text number 51 contained in that volume. Here and in the following sections, I will use the letter ‘A,’ followed by one Roman and one Arabic numeral, in order to refer to the edition of Leibniz’s collected works published in the Academy Edition of Leibniz’s miscellaneous works (Leibniz 1923).

De quadratura circuli