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Harmonia Mensurarum, sive Analysis & Sythensis per rationum & angulorum mensuras promotae: accedunt alia Opuscula Mathematica. - [""EARLIEST ATTEMPT TO FRAME A THEORY OF ERRORS""]
Cambridge, 1722. 4to. In contemporary full calf with five raised bands with red leather title-label with gilt lettering to spine. Boards with a few scratches, missing small parts of the leather. corners bumped. Upper endbands showing. Upper outer corner with dampstain, primarily affecting first leaves, otherwise a good copy. Printed on good paper. (20), 249, (3), 125, (1) pp. + 1 folded plate.
First edition of Cotes’ important posthumously published work. Roger Cotes (1682-1716) published only one scientific paper in his lifetime, and the present work thus constitutes the earliest and main record of his mathematical achievements. According to Augustus de Morgan, this is 'the earliest work in which decisiveness progress was made in the application of logarithms and of the properties of the circle of the calculus of fluents'"" it includes the first version of the Newton-Cotes formulas, the first introduction of Euler's formula, and the 'Cotes' theorum' of trigonometry. Furthermore, it contains the “Earliest attempt to frame a theory of errors.” (Jungnickel, Cavendish: The Experimental Life, p. 150). Roger Cotes (1682–1716), much respected in his own right, is also known for working closely with Isaac Newton by proofreading the second edition of his famous book, the Principia, before publication. He became the first Plumian Professor at Cambridge University from 1707 until his death. When Cotes died Cambridge in 1716 at the early age of 33 Isaac Newton famously remarked, ""If he had lived we would have known something."" Tomash & Williams C184 Norman 519 Wallis 246 Babson (Supplement) 29
Leçons de physique expérimentale, sur l'équilibre des liqueurs et sur la nature et les propriétés de l'air.
Paris, David Fils, 1742 ; in-8 ; plein veau marbré, dos à nerfs décoré, pièce de titre grenat, tranches rouges (reliure de l'époque) ; XVI pp., 458 pp., (5) ff. de table, (2) pp. (explication des parties de la machine pneumatique), (1) f. de privilège ; vignette de titre gravée par Duflos et 6 planches dépliantes.
Traduction de Lemonnier, ici en première édition.Mathématicien et physicien anglais, disciple de Newton, Roger Côtes (1682-1716) professait l'astronomie et la physique expérimentale à Cambridge. Newton a dit de lui que "si Côtes avait vécu, nous aurions appris bien des choses de plus". Il a laissé deux théorèmes qui portent son nom.Bel exemplaire, seuls les coins sont légèrement usés et deux traces de restauration très ancienne.
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