A Treatise on Attractions, Laplace's Functions, and the Figure of the EarthMacmillan and Company, 1861 - 122 sider |
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Side 21
... numerical quantities with μ and w , and w ' . Any other μ ' expressions which may satisfy the partial differential equation in P , which is called Laplace's Equation , may be designated Laplace's Functions to distinguish them from the ...
... numerical quantities with μ and w , and w ' . Any other μ ' expressions which may satisfy the partial differential equation in P , which is called Laplace's Equation , may be designated Laplace's Functions to distinguish them from the ...
Side 30
... numerical coefficients in P ̧Ð ̧ P. are found and shall give a few examples of the truth of the last Proposition but one ( that in Art . 32 ) by actual integration . PROP . To explain how to expand P ̧ . 37. By Art . 24 P is the ...
... numerical coefficients in P ̧Ð ̧ P. are found and shall give a few examples of the truth of the last Proposition but one ( that in Art . 32 ) by actual integration . PROP . To explain how to expand P ̧ . 37. By Art . 24 P is the ...
Side 32
... numerical examples are written down for convenience of reference : 12 ( 1 ) P1 = μμ ' + √1 — μ2 √1 — μ ̈2 cos ( w – w ' ) . - - 9 ( 2 ) P2 = { ( ~~ 2- } ) ( ~ ~ 12 ~ - } ) + 1 } 4 ( 1 — μ3 ) 3μ ( 1 — μ'2 ) 1μ'cos ( w — w ' ) 3 1 + ...
... numerical examples are written down for convenience of reference : 12 ( 1 ) P1 = μμ ' + √1 — μ2 √1 — μ ̈2 cos ( w – w ' ) . - - 9 ( 2 ) P2 = { ( ~~ 2- } ) ( ~ ~ 12 ~ - } ) + 1 } 4 ( 1 — μ3 ) 3μ ( 1 — μ'2 ) 1μ'cos ( w — w ' ) 3 1 + ...
Side 51
... numerical values of the successive pairs of a and & are deter- mined by the solution of equation ( 1 ) giving the law of dissection , lay them and the lunes down on a map of the country the attraction of which is to be found . It will ...
... numerical values of the successive pairs of a and & are deter- mined by the solution of equation ( 1 ) giving the law of dissection , lay them and the lunes down on a map of the country the attraction of which is to be found . It will ...
Side 52
... numerical values of the successive pairs of a and are deter- mined by the solution of equation ( 1 ) giving the law of dissection , lay them and the lunes down on a map of the country the attraction of which is to be found . It will ...
... numerical values of the successive pairs of a and are deter- mined by the solution of equation ( 1 ) giving the law of dissection , lay them and the lunes down on a map of the country the attraction of which is to be found . It will ...
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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 calculation Cambridge Cape Comorin centre centrifugal force Clairaut's Theorem cloth co-ordinates coefficient compartment const cos² Crown 8vo crust da² deflection depth df² dg² differential distance dr² Earth ellipticity equation equilibrium Fcap find the attraction formula frustum gravity Hence homogeneous integration Kaliana Kalianpur Laplace's Equation Laplace's Functions last Article last Proposition latitudes law of attraction law of density lune mean density mean ellipse Mechanical Philosophy meridian miles nearly spherical ocean plane plumb-line Precession prism PROP quantities radius ratio result Second Edition shell sin² sin³ sphere spheroid square station strata stratum Substituting Suppose thickness Trinity College University of Cambridge 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«.