Roger Cotes - Natural Philosopher
Cambridge University Press, 27 de juny 2002 - 224 pàgines
Roger Cotes (1682-1716) was the first Plumian Professor of Astronomy and Experimental Philosophy, at Trinity College, Cambridge. One of the most distinguished, and certainly one of the most ardent, of the early Newtonians he did important work in mathematics and astronomy and edited the second edition of Newton's Principia. Cotes died young and published only one paper, the Logometria, during his lifetime; a translation of this paper is given in the Appendix. Most of Cotes's papers were published posthumously in Latin in Harmonia Mensurarum in 1722. Dr Gowing discusses Cotes' work in some detail but has written the work in such a way that the more technical aspects of the mathematics can be omitted at first reading whilst still giving a clear idea of Cotes' achievement. Cotes' work was significant but his full potential was unrealised; in Newton's reputed words: 'If he had lived, we might have known something.'
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Aestimatio Errorum altitude angle Appendix Astronomy asymptote axis Bentley Bernoulli Briggs Cambridge University Press centre circle cissoid constant construction Corollary corresponding Delambre density described differential distance equal equation equiangular spiral error example Flamsteed fluent fluxion formulae geometric sequence geometrical given Halley Harmonia Mensurarum hence hyperbola interpolation J. B. J. Delambre Jean Bernoulli Lemma length letter logarithmic curve Logometria London Mathematical measures of ratios meridian method modulus Newton notation observations observatory obtained ordinate paper parabola particle perpendicular philosophy Preface Principia problems proof Proposition published quadrature quantity quotient reciprocal spiral result rhumb line Robert Smith Roger Cotes rotation round differences Royal Greenwich Observatory Royal Society Scholium second edition semi-diameter sine solution spherical triangle square differences straight line subtangent surface tables of integrals taken tangent Telescope Theorem tion trajectory trigonometrical Trinity College variations velocity Whiston