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Harmonia mensurarum, sive analysis & synthesis per rationum & angulorum mensuras promotae: accedunt alia opuscula mathematica: per Rogerum Cotesium. Edidit et auxit Robertus Smith.
[Cambridge] Cantabrigiae, 1722. FIRST EDITION. - Quarto. Modern half calf, marbled boards, rubbed, faint library stamps to title verso, a very good clean copy. Pagination pp. [20], 249, [1]; [2], 125, [1], collated and complete with the half-title, and the folded engraved table. Woodcut diagrams throughout. [Babson supp., p29; Norman, 519; Wallis 246; ESTC, T100930]. The English mathematician Cotes, who worked closely with Newton in the preparation of the second edition of the Principia. Cotes died from a fever at the age of 33, prompting Newton to make the famous remark that "if he had lived, we might have known something". Having published only one scientific paper in his lifetime, 'Logometria' (in which he successfully constructs the logarithmic spiral) this posthumous publication, 'Harmonia mesurarum', is the earliest record of Cotes' achievements. It contains "the first version of the Newton-Cotes formulas, introduces what is known today as Euler's formula, gives the first complete treatise on the integral calculus, the first to contain the well-known theorem of trigonometry known as "Cotes' theorem" and, according to Professor Morgan, is "the earliest work in which decided progress was made in the application of logarithms and of the properties of the circle of the calculus of fluents." [Attributes: First Edition; Hard Cover]
      [Bookseller: Dean Byass, Manuscripts & Rare Books]
Last Found On: 2017-08-23           Check availability:      AbeBooks    


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