A treatise on attractions, Laplace's functions, and the figure of the earth1860 |
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Side 45
... station above its middle point . 51. Let t be the thickness or depth ; h the height of the particle from the nearer surface , c the radius , r the radius of any intermediate elementary annulus of the attracting mass , z its depth . The ...
... station above its middle point . 51. Let t be the thickness or depth ; h the height of the particle from the nearer surface , c the radius , r the radius of any intermediate elementary annulus of the attracting mass , z its depth . The ...
Side 46
... station from the furthest limit of the plain . 53. Ex . Suppose the height of the station above the middle of the mass below , that is , h + t , is a mile and c 10 miles . Then the second term within the brackets is less than 0.05 , and ...
... station from the furthest limit of the plain . 53. Ex . Suppose the height of the station above the middle of the mass below , that is , h + t , is a mile and c 10 miles . Then the second term within the brackets is less than 0.05 , and ...
Side 48
... station . It is about 5 " ; so considerable as ma- terially to affect the Survey operations , and to have rendered it necessary to abandon that place as a principal station . In cases where the attracting mass is near , it is necessary ...
... station . It is about 5 " ; so considerable as ma- terially to affect the Survey operations , and to have rendered it necessary to abandon that place as a principal station . In cases where the attracting mass is near , it is necessary ...
Side 49
... station , shall be exactly proportional to the mean heights of the masses , be they far or near . 58. Suppose a number of great circles to be drawn from the station in question to the antipodes , making any angle ß , each with the next ...
... station , shall be exactly proportional to the mean heights of the masses , be they far or near . 58. Suppose a number of great circles to be drawn from the station in question to the antipodes , making any angle ß , each with the next ...
Side 50
... station may be taken to be the same , and = 2a sin 10. Its attraction along the chord of 0 , by Art . 48 , pa3h sin Oded ↓ 4a sin * 0 Attraction along the tangent to @ = ph sin odo d 4 sin * 0 cos 0 ; .. attraction along the tangent to ...
... station may be taken to be the same , and = 2a sin 10. Its attraction along the chord of 0 , by Art . 48 , pa3h sin Oded ↓ 4a sin * 0 Attraction along the tangent to @ = ph sin odo d 4 sin * 0 cos 0 ; .. attraction along the tangent to ...
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A Treatise on Attractions, Laplace's Functions and the Figure of the Earth John Henry Pratt Uten tilgangsbegrensning - 1868 |
A Treatise on Attractions, Laplace's Functions and the Figure of the Earth John Henry Pratt Uten tilgangsbegrensning - 1865 |
Treatise on Attractions, Laplace's Functions and the Figure of the Earth John Henry Pratt Uten tilgangsbegrensning - 1865 |
Vanlige uttrykk og setninger
amplitudes angles angular velocity attraction axes axis of revolution calculated Cambridge Cape Comorin cause centre centrifugal force CHARLES KINGSLEY Clairaut's Theorem cloth co-ordinates coefficient coincidence CONIC SECTIONS const cos² Crown 8vo crust Damargida deduced distance Ea² Earth Earth's mass ellipticity equi error Fcap fluid mass formula geodetic Hence hypothesis integration Kaliana Laplace's Equation Laplace's Functions last Article latitude law of density librium M.A. Second Edition mean ellipticity measured Mechanical Philosophy meridian miles nearly spherical Ocean original fluidity particle pendulum plumb-line point xyz Precession pressure PROP quantities ratio result series of Laplace's shell sin² spheroid station strata stratum Substituting Suppose surfaces of equal term thickness ticity Treatise Trinity College vanish W₁ w²a Y₁ zero μ² µ³
Populære avsnitt
Side 88 - HERVEY.— The Genealogies of our Lord and Saviour Jesus Christ, as contained in the Gospels of St. Matthew and St. Luke, reconciled with each other and with the Genealogy of the House of David, from Adam to the close of the Canon of the Old Testament, and shown to be in harmony with the true Chronology of the Times.
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