A Treatise on Attractions, Laplace's Functions, and the Figure of the EarthMacmillan and Company, 1861 - 122 sider |
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Resultat 1-5 av 10
Side 17
... differential equation in R into polar co - ordinates . 23. Let row be the co - ordinates of ( fgh ) , and r'e'w ' of ( xyz ) , the angles and ' being measured from the axis of z ; w and w ' being the angles which the planes on which ...
... differential equation in R into polar co - ordinates . 23. Let row be the co - ordinates of ( fgh ) , and r'e'w ' of ( xyz ) , the angles and ' being measured from the axis of z ; w and w ' being the angles which the planes on which ...
Side 20
... differential equation in R in the last article , and equate the coefficients of the several powers of r to zero . The general term gives the following equation : d du { ( 1 — μ3 ) dP αμ + 1 d'P 1 - μ2 dw2 + i ( i + 1 ) P1 = 0 , by ...
... differential equation in R in the last article , and equate the coefficients of the several powers of r to zero . The general term gives the following equation : d du { ( 1 — μ3 ) dP αμ + 1 d'P 1 - μ2 dw2 + i ( i + 1 ) P1 = 0 , by ...
Side 21
... differential equation in P , which is called Laplace's Equation , may be designated Laplace's Functions to distinguish them from the " Coeffi- cients . " The fundamental properties of these Coefficients and Functions we shall now ...
... differential equation in P , which is called Laplace's Equation , may be designated Laplace's Functions to distinguish them from the " Coeffi- cients . " The fundamental properties of these Coefficients and Functions we shall now ...
Side 64
... differential , and therefore so far the equilibrium is possible . The equation of fluid equilibrium gives 1 Р dp = Xd + Ydy + Zdz 2p Ρ = - ( 1 − a ) ( xdx + ydy ) — Czdz ; = - - - = constant ( A - w2 ) ( x2 + y2 ) — Cz2 . - At the ...
... differential , and therefore so far the equilibrium is possible . The equation of fluid equilibrium gives 1 Р dp = Xd + Ydy + Zdz 2p Ρ = - ( 1 − a ) ( xdx + ydy ) — Czdz ; = - - - = constant ( A - w2 ) ( x2 + y2 ) — Cz2 . - At the ...
Side 68
... differential equation to the exterior surface and to the surfaces of all the internal strata ; the particular value assigned to the constant after integration determining to which surface the integral belongs . The following property ...
... differential equation to the exterior surface and to the surfaces of all the internal strata ; the particular value assigned to the constant after integration determining to which surface the integral belongs . The following property ...
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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«.