A Treatise on Attractions, Laplace's Functions, and the Figure of the EarthMacmillan and Company, 1861 - 122 sider |
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Side viii
... observed latitudes to make them suit the general curve . Examples . 107. Application of the Principle of Least ... observations PAGE 97 98 99 100 101 102 103 • 104 105 • ib . 108 ib . 110. Local departures from the mean figure in India ...
... observed latitudes to make them suit the general curve . Examples . 107. Application of the Principle of Least ... observations PAGE 97 98 99 100 101 102 103 • 104 105 • ib . 108 ib . 110. Local departures from the mean figure in India ...
Side 13
... observe that one of these ellipsoids must neces- sarily be wholly within the other . For if not , the points in which they cut each other lie in the line of which the equa- tions are + x2 , y2 , z2 2 b2 + 3 = 1 and x2 + q8 × 33 y2 , 22 ...
... observe that one of these ellipsoids must neces- sarily be wholly within the other . For if not , the points in which they cut each other lie in the line of which the equa- tions are + x2 , y2 , z2 2 b2 + 3 = 1 and x2 + q8 × 33 y2 , 22 ...
Side 20
... observed that these quantities are definite * For the direct integration of this equation , see two Papers in the Philo- sophical Transactions for 1841 and 1857 , by Mr Hargreave and Professor Donkin respectively . and have no arbitrary ...
... observed that these quantities are definite * For the direct integration of this equation , see two Papers in the Philo- sophical Transactions for 1841 and 1857 , by Mr Hargreave and Professor Donkin respectively . and have no arbitrary ...
Side 26
... observed that were this not the case , that whole part of the expression would vanish for the particular value c = 1 ( which is the only case we shall have to use ) , whatever the value of the sum of the terms following the multiplier 1 ...
... observed that were this not the case , that whole part of the expression would vanish for the particular value c = 1 ( which is the only case we shall have to use ) , whatever the value of the sum of the terms following the multiplier 1 ...
Side 65
... observation shows that the ratio of the centri- fugal force at the equator to gravity at the equator . Hence = 289 1 w2a w2 1 289 πρα- κα 2πρ 435 By expanding in powers of e and neglecting powers higher than the second , because we know ...
... observation shows that the ratio of the centri- fugal force at the equator to gravity at the equator . Hence = 289 1 w2a w2 1 289 πρα- κα 2πρ 435 By expanding in powers of e and neglecting powers higher than the second , because we know ...
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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«.