Geometrical Lectures: Explaining the Generation, Nature and Properties of Curve Lines.


Isaac Barrow.

First edition in English; 11 folding diagrams in fine condition.


London: Steven Austen, 1735. Octavo, 20cm x13cm, pp vi + 309, 11 folding diagrams.

Near Fine. New eps, some offsetting from the diagrams, and the publishing date has been tampered with in pen to read MCCCXXXV (1335), otherwise fine throughout. Fine binding. Expertly recased in full brown leather, blind-tooled double border on boards, five raised bands to spine, title in gilt on red leather lable in one panel, elaborate gilt device in the other compartments.

First published in 1669 in Latin, Barrow’s geometrical lectures were more technical and novel than his earlier lectures on mathematics and contained new ways of determining the areas and tangents of curves. He is generally given credit for his early role in the development of infinitesimal calculus; in particular, for the discovery of the fundamental theorem of calculus. Although not an official tutor of Isaac Newton he recognised and encouraged the younger man’s talent and Newton is known to have attended Barrow’s lectures. This first English edition is translated by Edmund Stone from Newton’s revised, corrected and amended edition.



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