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Geometrical Lectures: Explaining the Generation, Nature and Properties of Curve Lines. Read in the University of Cambridge by Isaac Barrow, D D
Stephen Austen, London 1735 - A good copy of Issac Barrow's Geometrical Lectures - first delivered between 1664-1666 at Cambridge University and then published with Isaac Newton's revisions, corrections and amendments in latin in 1683, after Barrow's death in 1677. This is the first English translation of Barrow's work, by Edmund Stone FRS - a Scottish mathematician. In recent full panelled calf binding - classed as 'good' only because 4 of the 11 folding plates are in facsimile. Barrow is best known for an early use of calculus, by which he became credited for the development of the First Principle of Calculus - 'The definite integration of a function is related to its antiderivative, which can be determined by differentiation. Thus there is a guarantee that an antiderivative exists for any continuous function'. He applied this concept to solve the determination of the tangent of a Kappa Curve. This set of lectures, especially chapters 10 & 11, presented a series of proofs applying the principles that led to the development of modern day Calculus. He was studied by Isaac Newton who developed this further and came into conflict with Leibniz in 1693, whose 'Acta Eruditorum' a geometrical proof of the fundamental theorem of the calculus, claimed no links to Barrow's earlier work. Later study (see 'Barrow and Leibniz on the fundamental theorem of the calculus' by Michael Nauenberg, 2011) has shown that Leibniz' proof was drawn from Barrow's solutions as published in this work. Michael Nauenberg reproduces figure 109 of plate 5 in his analysis. The binding has raised bands and title label to spine, with panelled design to boards. it is in near fine condition. The binder has not replaced the front endpaper and has taped in the frontispiece portrait of Barrow. Title page dated 1735 again with archival tape; authors preface pp i-vi; errata; lectures with 11 folding plates - 4 in facsimile (plates 1, 2, 5, 11) 303pp; Addenda 4pp; Finis; notes 1p; Books printed for Stephen Austen 2pp. Plate 3 has a frayed bottom edge and stamp to verso, plate 4 has very small loss to top; plate 9 has a frayed side and plate 10 has had a little repair. Text pages have some brown toning but are clean and generally in very good condition. A scarce and important work. [Attributes: First Edition; Hard Cover]
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Last Found On: 2015-11-20           Check availability:      AbeBooks    

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