Roger Cotes - Natural PhilosopherCambridge University Press, 27 juin 2002 - 224 pages 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.' |
Table des matières
II | 1 |
III | 5 |
IV | 20 |
V | 34 |
VI | 67 |
VII | 80 |
VIII | 112 |
IX | 134 |
XI | 143 |
XII | 187 |
XIII | 191 |
XIV | 195 |
XV | 205 |
XVI | 207 |
| 209 | |
X | 138 |
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Expressions et termes fréquents
Aestimatio Errorum altitude angle Appendix Astronomy asymptote axis Bentley Bernoulli Bimed Cambridge University Press centre circle cissoid constant construction Corollary corresponding d(AC d(BC Delambre density described differential Differentialis distance e+fz equal equation equiangular spiral error example Flamsteed fluent formulae geometric sequence geometrical given Halley Harmonia Mensurarum hence hyperbola interpolation Isaac Newton J. B. J. Delambre Jean Bernoulli length letter logarithmic curve Logometria London Mathematical measures of ratios Medial meridian method Method of Fluxions modulus notation observations observatory ordinate paper particle perpendicular Preface Principia problems Proposition published quadrature quantity result rhumb line Robert Smith Roger Cotes Royal Greenwich Observatory Royal Society Scholium Scholium Generale semi-diameter Semidiff sine solution spherical triangles straight line subtangent surface tables of integrals tangent Telescope Theorem tion trajectory trigonometrical Trinity College variation velocity Whiston