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 22
Side 7
... measured makes with the plane cz ; .. x = ƒ + r sin @ cos p , y = g + r sin 0 sin o , z = h + r cos 0 , and the equation to the spheroid becomes ( f + r sin cos ) 2 + ( g + r sin 0 sin ) 2 , ( h + r cos 0 ) 2 + c2 = = 1 , fsin @ cos + g ...
... measured makes with the plane cz ; .. x = ƒ + r sin @ cos p , y = g + r sin 0 sin o , z = h + r cos 0 , and the equation to the spheroid becomes ( f + r sin cos ) 2 + ( g + r sin 0 sin ) 2 , ( h + r cos 0 ) 2 + c2 = = 1 , fsin @ cos + g ...
Side 17
... measured from the axis of z ; w and w ' being the angles which the planes on which ✪ and e ' are measured make with the plane z . Then f = r sin cos w , g = r sin 0 sin w , h = r cos 0 , x = r ' sin e ' cos a ' , g'r ' sin e ' sin w ...
... measured from the axis of z ; w and w ' being the angles which the planes on which ✪ and e ' are measured make with the plane z . Then f = r sin cos w , g = r sin 0 sin w , h = r cos 0 , x = r ' sin e ' cos a ' , g'r ' sin e ' sin w ...
Side 24
... measured from a fixed point A along a great circle of the sphere , and w ' the angle which this great circle makes with another and fixed great circle through A. Then de ' . dw ' sin e ' , or du'do ' , is an infinitesimal element of the ...
... measured from a fixed point A along a great circle of the sphere , and w ' the angle which this great circle makes with another and fixed great circle through A. Then de ' . dw ' sin e ' , or du'do ' , is an infinitesimal element of the ...
Side 25
... measured along the line QCq . Let this line be divided into n parts each equal to h , so that n.h the diameter = 2 , n being very large and h very small . Draw perpendiculars to the diameter through these divisions cutting the circle ...
... measured along the line QCq . Let this line be divided into n parts each equal to h , so that n.h the diameter = 2 , n being very large and h very small . Draw perpendiculars to the diameter through these divisions cutting the circle ...
Side 36
... the polar co - ordinates ( r'u'w ' ) to any element of its mass , and the line through the attracted point be that from which the angles are measured , and p the density . Then - pr CHAPTER III ATTRACTION OF BODIES NEARLY SPHERICAL PAGE.
... the polar co - ordinates ( r'u'w ' ) to any element of its mass , and the line through the attracted point be that from which the angles are measured , and p the density . Then - pr CHAPTER III ATTRACTION OF BODIES NEARLY SPHERICAL PAGE.
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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«.