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 15
Side x
... direction CP = pr2 sin e drdedo y2 , p the density of the shell ; .. attraction of P on C in CO pr2 sin 0 drd0dp c — r cos - y2 y We shall eliminate from this equation by means of y2 = c2 + r2 — 2cr cos 0 , y " -- 2c de .. sin e dy ...
... direction CP = pr2 sin e drdedo y2 , p the density of the shell ; .. attraction of P on C in CO pr2 sin 0 drd0dp c — r cos - y2 y We shall eliminate from this equation by means of y2 = c2 + r2 — 2cr cos 0 , y " -- 2c de .. sin e dy ...
Side 2
... direction ... at T ACTIONS . or not to the law of the inverse determine this is the object of the raction of a homogeneous spherical tit ; the law of attraction being repre- the distance . an is exactly analogous to that given i to ...
... direction ... at T ACTIONS . or not to the law of the inverse determine this is the object of the raction of a homogeneous spherical tit ; the law of attraction being repre- the distance . an is exactly analogous to that given i to ...
Side 3
... directions will not affect the point . The whole shell may be thus divided into pairs of equal attracting elements and in opposite direc- tions , and therefore the whole shell has no effect in drawing the point in any one direction more ...
... directions will not affect the point . The whole shell may be thus divided into pairs of equal attracting elements and in opposite direc- tions , and therefore the whole shell has no effect in drawing the point in any one direction more ...
Side 6
... direction . 10. When this is the case - † ( † ( r + c ) = ↓ ( r — c ) } _ C = d dc dfr d3 for c2 + + A , dr dr3 1.2.3 whatever c is , A being a constant independent of c ; dyr dr = - A , d3 for = = 0 , ... drs These conditions are all ...
... direction . 10. When this is the case - † ( † ( r + c ) = ↓ ( r — c ) } _ C = d dc dfr d3 for c2 + + A , dr dr3 1.2.3 whatever c is , A being a constant independent of c ; dyr dr = - A , d3 for = = 0 , ... drs These conditions are all ...
Side 8
... directions of the axes , estimated positive towards the centre of the spheroid . Then these equal the integrals of the attrac- tions of the element ; the limits of r being -r ' and r " , of Ꮎ being 0 and π , of being 0 and π . Hence ...
... directions of the axes , estimated positive towards the centre of the spheroid . Then these equal the integrals of the attrac- tions of the element ; the limits of r being -r ' and r " , of Ꮎ being 0 and π , of being 0 and π . Hence ...
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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«.