A Treatise on Attractions, Laplace's Functions, and the Figure of the EarthMacmillan and Company, 1861 - 122 sider |
Inni boken
Resultat 1-5 av 18
Side x
... 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 equals the attraction of ...
... 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 equals the attraction of ...
Side 3
... elementary double cone to be drawn , cutting the shell in two places . The inclinations of the elementary portions of the shell , thus cut out , to the axis of the cone will be the same , the thickness the same , but the other two ...
... elementary double cone to be drawn , cutting the shell in two places . The inclinations of the elementary portions of the shell , thus cut out , to the axis of the cone will be the same , the thickness the same , but the other two ...
Side 45
... elementary annulus of the attracting mass , z its depth . The several elements of this annulus of matter will attract the particle towards the plain equally . Hence attraction of the particle C t pr ( h + z ) dr dz - S. S. 27 ( 4 + 2 ) ...
... elementary annulus of the attracting mass , z its depth . The several elements of this annulus of matter will attract the particle towards the plain equally . Hence attraction of the particle C t pr ( h + z ) dr dz - S. S. 27 ( 4 + 2 ) ...
Side 51
... elementary vertical prism of the mass ; a the radius of the earth ; the angle which the plane of @ makes with the plane of the mid - line of the lune , and in which latter plane the re- sultant attraction evidently acts . The area of ...
... elementary vertical prism of the mass ; a the radius of the earth ; the angle which the plane of @ makes with the plane of the mid - line of the lune , and in which latter plane the re- sultant attraction evidently acts . The area of ...
Side 51
... elementary prisms , the density increases in the distribution of the matter in exactly the same proportion that the area of the horizontal section diminishes . The amount of matter in the three divi- sions is therefore the same , and we ...
... elementary prisms , the density increases in the distribution of the matter in exactly the same proportion that the area of the horizontal section diminishes . The amount of matter in the three divi- sions is therefore the same , and we ...
Andre utgaver - Vis alle
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«.