Philosophical Transactions Volume 42

Philosophical Transactions Volume 42

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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1744 edition. Excerpt: ...endeavours to recede from its Axis, in consequence of the diurnal Rotation, is as the Distance from the Axis, it appears that if the Earth, or any other Planet, was fluid, and of an uniform Density, the Figure which it would assume would be accurately that of an oblate Spheroid generated by an Ellipsis revolving about its Second Axis. Afterwards the Gravity towards an oblate Spheroid is accurately measured by circular Ares, not only at the Pole, but also at the Equator, and in any intermediate Places; and the Gravity towards an oblong Spheroid is measured by Logatithms. The Gravity at any Distance in the Axis of the Spheroid, or in the Plane of the Equator produced, is likewise accurately determined by like Measures, without any new Computation or Qiadrature, by shewing that when Two Spheroids have the same Centre and Form', and are of an uniform Density, the Gravities towards them at the fame Point in the Axis or Plane of the Equator produced, are as the Qiantities of Matter in tne Solids. This Theory is applied for determining the Figure of the Earth, by comparing the Force of Gravity in any any given Latitude, derived from the Length of a Tendulum that vibrates there in a Second of Time, with the centrifugal Force at the Equator, deduced from the periodic Time of the diurnal Rotation, and the Amplitude of a Degree of the Meridian; or by comparing the Lengths of Tendu/umr that vibrate in equal Times in given unequalLatitudesz or by comparing different Dcgrees measured upon the Meridian. By the best Observations it would seem, that there is a greater Increase of Gravitation, and of the Degrees of the Meridian from the Equator towards the Poles, than ought to arise from the Supposition of an uniform Density. Therefore the Author supposes...show more

Product details

  • Paperback | 108 pages
  • 189 x 246 x 6mm | 209g
  • Rarebooksclub.com
  • United States
  • English
  • black & white illustrations
  • 1236803981
  • 9781236803986