Simpson, Th.: Mathematical dissertations on a variety of physical and analytical subjects. London : Woodward, 1743

Content

- PDF Front cover
- PDF Title page
- PDF To Martin Folkes, esquire, president of the Royal-Society.
- PDF Preface.
- PDF Errata.
- PDF A mathematical dissertation on the figure of the earth.
- PDF A general investigation of the attraction at the surfaces of bodies nearly spherical.
- PDF To determine the height of the tides at any planet, caused by the attraction of a satellite or other remote body.
- PDF To determine the length of a degree of the meridian, and the meridional parts answering to any given latitude, according to the true spherodical figure of the earth.
- PDF A determination of the refraction which a ray of light suffers in its passage to the earth.
- PDF Of the summation of series.
- PDF Of the values of series by approximation.
- PDF Of the roots of equations by approximation.
- PDF Of the areas of curves, &c. by approximation.
- PDF Of quadratures and the comparison of fluents.
- PDF An investigation of the curve described by the shadow of an object on the plane of the horizon, according to any given declination of the sun, and elevation of the pole.
- PDF A determination of the time of the year when days lengthen the fastest, according to apparent time, and to any assigned excentricity of the earth's orbit.
- PDF A determination how far a heavy body, freely descending from rest, falls from perpendicular, by means of the earth's rotation.
- PDF A demonstration of the law of motion that a body deflected by two forces tending to two fixed points, will describe equal solids in equal times about the right-line joining those points.
- PDF A determination in what cases a body, acted on by a centripetal force, may continually descend in a spiral line towards the centre, [...]
- PDF An easy and general way of investigating the common theorems relating to compound-interest and annuities, without being obliged to sum up the terms of a geometrical progression.
- PDF Back cover