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Nova methodus pro maximis et minimis, itemque tangentibus, quae nec fractas nec irrationales quantitates moratur et singulare pro illis calculi genus [AND] De geometria recondita et analysi indivisibilium atque infinitorum.
. Leipzig, Christopher Gunther for J. Grossium [and J. F. Gletitschium], 1684-1686. In two volumes. Small 4to. [19,7 x 15,3 cm]. pp. 467-473 and one plate (Tab. XII) for the first paper; pp. 192 [recte 292]-300 for the second paper (Geometria recondita). Contemporary uniform half vellum over boards and full vellum with title written in contemporary hand on the spines.l The most important original papers, on differential calculus, and on integral calculus, by one of the greatest mathematicians ever, Gottfried Wilhelm (von) Leibniz (1646-1716). The 1684 volume with Leibniz's famous article on differential calculus is in an exceedingly rare, unrecorded state. Dibner: "First printing of this epochal work. (...) Fifteen years after Newton's first work in fluxions and nine after his own independent discovery, Leibnitz published the above, his first announcement of the differential calculus". It is known that two distinct issues exist, and this is an unrecorded third, but certainly not latest. In the Norman copy, page 467 is in an uncorrected setting (known now as the first state), with quite a few printing errors in the mathematical formula. In the copy described in Dibner's "Heralds of Science" (previously recognized as a first issue), the page is entirely reset, with corrections, but is obviously now recorded as the second 'state' or 'issue'. Our copy is similar to the Norman copy, with page 467 in an uncorrected state. However, in our copy the plate next to page 467 differs from both Norman and Dibner: the letters "M. Oct" are printed at the top of the sheet underneath the plate number. What we have here thus, is yet another issue of the work and it is still unclear which one is the true first. It is, however, not unthinkable that this is the true first issue, since there would be little reason to add "M. Oct" to the plate if it was issued at a later date. A very good copy in unusually crisp and clean condition, and in an attractive original binding. In the 1686 volume Leibniz introduces his important integral calculus in "De geometria recondita et analysis indivisibilium atque infinitorum". The 1686 volume is bound with the 1687 volume, with contributions from other renowned scientists and mathematicians, such as Jacob Bernouilli; the 1686 volume also contains contributions by Leibniz, viz.: Brevis demonstratio erroris memorabilis Cartesii & aliorum circa legem naturae, secundum quam volunt a Deo eandem semper quantitatem motus conservari; qua & in re mechanica abutuntur. [pp. 161-163] [AND] Meditatio nova de natura Anguli contactus & osculi, horumque usu in practica mathesi, ad figuras faciliores succedaneas difficilioribus Substituendas. [pp. 289-292], and in the 1684 volume also the following: De dimensionibus figurarum inveniendis. [pp. 233-236]; Demonstrationes novae de resistentia. [pp. 319-325]; Meditationes De Cognitione, Veritate, & Ideis. [pp. 537-542]; Additio ad shedam in actis proxime antecedentis Maji pag. 233 editam. De dimensionibus curvilineorum. [pp. 585-587]. Old unobtrusive circular library stamp on verso of title pages, removed paste on inner cover. Some light uniform age toning as usual for this sort of paper and a few pages browned. In the 1686-1687 volume a red wine stain coveris a few pages of text, but not the Leibniz paper, which is clean. Overall this is a very good set in an unusual crisp and clean condition and in attractive original bindings. See also Ravier, Bibliographie des oeuvres de Leibnitz; Dibner, 109; Sparrow, 130, pl. 86; PMM, 160..
      [Bookseller: Dieter Schierenberg BV]
Last Found On: 2015-06-09           Check availability:      ZVAB    

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