A Treatise on Attractions, Laplace's Functions, and the Figure of the EarthMacmillan and Company, 1861 - 122 sider |
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Side viii
... gives an average form agreeing with the hypothesis that the Earth acquired its general form from being in a fluid state 102. Propositions suggested by Captain A. Clarke's Article on the Figure of the Earth in the Volume of the British ...
... gives an average form agreeing with the hypothesis that the Earth acquired its general form from being in a fluid state 102. Propositions suggested by Captain A. Clarke's Article on the Figure of the Earth in the Volume of the British ...
Side 6
... gives A r S $ ( r ) dr = − A , 4 ( r ) = 4 , and therefore the inverse square is the only law which pos- sesses this property . 11. The form of the Earth and of the other bodies of the Solar System differing from the spherical , and ...
... gives A r S $ ( r ) dr = − A , 4 ( r ) = 4 , and therefore the inverse square is the only law which pos- sesses this property . 11. The form of the Earth and of the other bodies of the Solar System differing from the spherical , and ...
Side 20
... gives the following equation : αμ ( 1 — μ3 ) dP 1 d2 P με αμς dμ ) + 1 — μ3 dw2 + i ( i + 1 ) P , = 0 , - by integrating which P , should be determined * . The series for R would then be known . 25. The functions P , P ... P ... possess ...
... gives the following equation : αμ ( 1 — μ3 ) dP 1 d2 P με αμς dμ ) + 1 — μ3 dw2 + i ( i + 1 ) P , = 0 , - by integrating which P , should be determined * . The series for R would then be known . 25. The functions P , P ... P ... possess ...
Side 22
... gives no result . This property is true also when i = 0 , as may easily be shown by going through the process of the last Proposition , Q being Q or a constant . - - PROP . To prove that a function of μ , √1 — μ3 cos w , and √1 — μ2 ...
... gives no result . This property is true also when i = 0 , as may easily be shown by going through the process of the last Proposition , Q being Q or a constant . - - PROP . To prove that a function of μ , √1 — μ3 cos w , and √1 — μ2 ...
Side 23
... gives them so great a value in the higher branches of analysis . In consequence of the discontinuity above pointed out , and also because the series becomes infinite in one stage of the variations of its variables , it has been ...
... gives them so great a value in the higher branches of analysis . In consequence of the discontinuity above pointed out , and also because the series becomes infinite in one stage of the variations of its variables , it has been ...
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A Treatise on Attractions: Laplace's Functions, and the Figure of the Earth John Henry Pratt Uten tilgangsbegrensning - 1860 |
A Treatise on Attractions: Laplace's Functions, and the Figure of the Earth John Henry Pratt Uten tilgangsbegrensning - 1860 |
A Treatise on Attractions, Laplace's Functions, and the Figure of the Earth John Henry Pratt Uten tilgangsbegrensning - 1861 |
Vanlige uttrykk og setninger
amplitudes angle attracted particle attracted point attracting mass axes axis calculation Cambridge Cape Comorin Cavendish experiment centre cloth co-ordinates coefficient College compartment cos² cos² a+10 Crown 8vo d²R Damargida deflection caused Deflexion depth df² dg² dh² distance dr² dw² Earth element ellipsoid equal equation expanded Fcap find the attraction fluid formula frustum gravity height Hence integration Kaliana Kalianpur Laplace's Equation Laplace's Functions last Article last Proposition law of attraction law of dissection length lune mean ellipse Mechanical Philosophy meridian mid-line miles mountains ocean Ordnance Survey plane plumb-line prism PROP quantities radius result Second Edition shell sin² sin³ sphere spherical spheroid square station strata Suppose surface thickness Trinity College vertical Y₁ αμ µ² µ³
Populære avsnitt
Side 115 - Christ and other Masters. A Historical Inquiry into some of the Chief Parallelisms and Contrasts between Christianity and the Religious Systems of the Ancient World.
Side 116 - 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.
Side 122 - PROCTER— A HISTORY OF THE BOOK OF COMMON PRAYER, with a Rationale of its Offices. By FRANCIS PROCTER, MA Thirteenth Edition, revised and enlarged. Crown 8vo. loг. 6d. PROCTER AND MACLEAR— AN ELEMENTARY INTRODUCTION TO THE BOOK OF COMMON PRAYER.
Side 111 - BIRKS.— The Difficulties of Belief in connexion with the Creation and the Fall. By THOMAS RAWSON BIRKS, MA Rector of Kelshall, and Author of "The Life of the Rev. E. Bickersteth.
Side 113 - CAMPBELL : — THE NATURE OF THE ATONEMENT AND ITS RELATION TO REMISSION OF SINS AND ETERNAL LIFE. Fourth and Cheaper Edition, crown 8vo. 6s. "Among the first theological treatises of this generation.
Side 114 - FROST.— The First Three Sections of Newton's Principia. With Notes and Problems in illustration of the subject. By PERCIVAL FROST, MA late Fellow of St. John's College, Cambridge, and Mathematical Lecturer of Jesus College. Crown 8vo. cloth, 10*.
Side 118 - MANSFIELD.— Paraguay, Brazil, and the Plate. With a Map, and numerous Woodcuts. By CHARLES MANSFIELD, MA of Clare College, Cambridge. With a Sketch of his Life. By the Rev. CHARLES KINGSLEY. Crown Svo. cloth, 12«.