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 52
Side x
... Hence the volume of the elementary portion of the shell thus formed at P equals rdo.r sin Odp . dr ulti- mately , since its sides are ultimately at right angles to each other . Then , if the unit of attraction be so chosen , that it ...
... Hence the volume of the elementary portion of the shell thus formed at P equals rdo.r sin Odp . dr ulti- mately , since its sides are ultimately at right angles to each other . Then , if the unit of attraction be so chosen , that it ...
Side 3
... hence , rtc π prdr [ me ( 1 attraction of shell = c2 r - c πprdr = c2 - 22 y2 ( 2c2c ) = 0 ; dy therefore the particle within the shell is equally attracted in every direction . 5. This result may easily be arrived at geometrically in ...
... hence , rtc π prdr [ me ( 1 attraction of shell = c2 r - c πprdr = c2 - 22 y2 ( 2c2c ) = 0 ; dy therefore the particle within the shell is equally attracted in every direction . 5. This result may easily be arrived at geometrically in ...
Side 6
... Hence the only laws of attraction which have the property in question are those of the direct distance , the inverse square , and a law compounded of these . PROP . To find for what laws the shell attracts an internal point equally in ...
... Hence the only laws of attraction which have the property in question are those of the direct distance , the inverse square , and a law compounded of these . PROP . To find for what laws the shell attracts an internal point equally in ...
Side 8
... Hence A B C A π - SIST -- - = = 0 π π 0 0 π Π psin ' e cos pdr do do , ρε p sin2 0 sin pdr do do , JJJp sin 0 cos Ꮎ psin e cos @ drd0dp , п / п 0 ( " + r ' ) sin2 e cos dedo " F = 2p sin2 0 cos pd0dp . 0 0 Now it is easily seen that if ...
... Hence A B C A π - SIST -- - = = 0 π π 0 0 π Π psin ' e cos pdr do do , ρε p sin2 0 sin pdr do do , JJJp sin 0 cos Ꮎ psin e cos @ drd0dp , п / п 0 ( " + r ' ) sin2 e cos dedo " F = 2p sin2 0 cos pd0dp . 0 0 Now it is easily seen that if ...
Side 10
... Hence the attraction of the sphe- roid similar to the given one , and passing through the attracted particle , is the same as that of any other similar concentric spheroid comprising the attracted particle in its mass . Hence a ...
... Hence the attraction of the sphe- roid similar to the given one , and passing through the attracted particle , is the same as that of any other similar concentric spheroid comprising the attracted particle in its mass . Hence a ...
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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«.