A History of the Mathematical Theories of Attraction and the Figure of the Earth from the Time of Newton to that of Laplace, المجلد 1Macmillan and Company, 1873 - 476 من الصفحات |
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عبارات ومصطلحات مألوفة
angles angular velocity approximate assumed axes Boscovich Bouguer Cassini centre centrifugal force Clairaut Clairaut's Theorem columns Condamine considers cos² D'Alembert Daniel Bernoulli David Gregory degree demonstration denote density Desaguliers diameter distance Earth edition ellipsoid of revolution ellipticity equator equatorial essay external particle Figure fluid given gives gravity historical portion homogeneous Huygens hypothesis integral investigation Keill La Condamine Laplace Lapland latitude law of attraction length Maclaurin mass Maupertuis measured memoir is entitled memoir occupies pages meridian modern Newton noticed Number oblate oblatum oblongum observations obtained Paris Mémoires pendulum Peru pesanteur Philosophical Transactions Picard's plane polar pole principle Proposition published ratio relative equilibrium remarks resultant attraction rotation says shell shews Simpson sin² solid solid of revolution sphere spherical spheroid suppose surface Terre theorem theory tion toises varies inversely volume
مقاطع مشهورة
الصفحة 342 - Verification and Extension of La Caille's Arc of Meridian at the Cape of Good Hope, by Sir Thomas Maclear, Astronomer Royal at the Cape of Good Hope.
الصفحة 19 - And it may be justly said, that so many and so valuable Philosophical Truths, as are herein discovered and put past dispute, were never yet owing to' the Capacity and Industry of any one Man
الصفحة 436 - Dixon for determining the Length of a Degree of Latitude in the Provinces of Maryland and Pennsylvania, in North America ; by the Reverend Nevil Maskelyne, BDFRS Astronomer Royal.2 Art.
الصفحة 436 - Cavendish has since considered this matter more minutely, and having mathematically investigated several rules for finding the attraction of the inequalities of the Earth, has, upon probable suppositions of the distance and height of the Allegany mountains from the degree measured, and the depth and declivity of the Atlantic ocean, computed what alteration might be produced in the length of the degree...
الصفحة 432 - Proposal of a Method for Measuring Degrees of Longitude upon Parallels of the Equator 'in 1767 (it. Ivi. 119). 'An Enquiry into the Probable Parallax and Magnitude of the Fixed Stars from the Quantity of Light which they afford us,
الصفحة 448 - A Treatise of the System of the World, by Sir Isaac Newton, translated into English : London, printed for F. Fayram, at South Entrance under the Royal Exchange, 1728, 8vo.
الصفحة 452 - An Account of the Calculations made from the Survey and Measures taken at Mount Shichallin, in order to ascertain the mean Density of the Earth : improved from the Philosophical Transactions, vol.
الصفحة 431 - Let p denote the last term, then the sum is 5 {3p — 6 + */(op* ± 20)}, where in the ambiguity the upper or the ^ lower sign is to be taken according as the number of the terms is odd or even. Krafft adds: "Sed nullo artificio detegi potest terminus generalis.
الصفحة 458 - ... of which is 1260 feet; having in this new trial, the advantage of transmitting the time from one station to the other by the instantaneous effect of galvanism, instead of by portable watches. The result was a density of 6-56 ; which is much larger than the preceding results, but, as Mr. Airy holds, is entitled to compete with the others on at least equal terms.
الصفحة 299 - ... by a force to a point in the axis, varying inversely as the square of the distance, the curvatures of the meridian curve of the free surface at the equator and pole are respectively...