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 23
Side x
... integrate this with respect too and y , the limits of O and 2π , those of y being c - r and c + r ; .. attraction of shell on C : ctr π prdr fer ( 1 c2 4πpr2dr c2 c - r 1+ c - r prdr • ctr 2π = 2c2 = 22 ) dy πрrdr = c2 y3 mass of shell ...
... integrate this with respect too and y , the limits of O and 2π , those of y being c - r and c + r ; .. attraction of shell on C : ctr π prdr fer ( 1 c2 4πpr2dr c2 c - r 1+ c - r prdr • ctr 2π = 2c2 = 22 ) dy πрrdr = c2 y3 mass of shell ...
Side 5
... ¢ ( c ) dc + cp ( c ) , d3 c des афс = 24c + c dc ; therefore by the first of the above equations of condition . 2 pc + doc фот = const . = 34 , de and multiplying by c2 and integrating c2 $ ( c SHELL COLLECTED IN ITS CENTRE . 5.
... ¢ ( c ) dc + cp ( c ) , d3 c des афс = 24c + c dc ; therefore by the first of the above equations of condition . 2 pc + doc фот = const . = 34 , de and multiplying by c2 and integrating c2 $ ( c SHELL COLLECTED IN ITS CENTRE . 5.
Side 6
John Henry Pratt. and multiplying by c2 and integrating c2 $ ( c ) = Ac3 + B , A and B being independent of c , B $ ( c ) = Ac + 2 . This is the most general solution of the first of the equations of condition for ( c ) , and it ...
John Henry Pratt. and multiplying by c2 and integrating c2 $ ( c ) = Ac3 + B , A and B being independent of c , B $ ( c ) = Ac + 2 . This is the most general solution of the first of the equations of condition for ( c ) , and it ...
Side 10
... integration .. 15. If we had attempted to find the attraction on an exter- nal particle according to the process of the last Article , we should have fallen upon expressions which no known methods have yet integrated : and therefore we ...
... integration .. 15. If we had attempted to find the attraction on an exter- nal particle according to the process of the last Article , we should have fallen upon expressions which no known methods have yet integrated : and therefore we ...
Side 15
... mass itself , then xyz will never equal fgh respectively , and consequently the expression under the signs of integration vanishes FORMULE FOR HETEROGENEOUS MASS . POTENTIAL . 15 Formulæ for the attraction of a homogeneous mass d2V d'V d2 ...
... mass itself , then xyz will never equal fgh respectively , and consequently the expression under the signs of integration vanishes FORMULE FOR HETEROGENEOUS MASS . POTENTIAL . 15 Formulæ for the attraction of a homogeneous mass d2V d'V d2 ...
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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«.