A treatise on attractions, Laplace's functions, and the figure of the earth1860 |
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Side xi
... pyramid on a particle at its vertex ; also of a frustum . • 51. Attraction of an extensive plain of given depth or thickness on a point above it . 43 ib . • 44 • 45 ART . PAGE 55 . Attraction of a rectangular mass CONTENTS . xi.
... pyramid on a particle at its vertex ; also of a frustum . • 51. Attraction of an extensive plain of given depth or thickness on a point above it . 43 ib . • 44 • 45 ART . PAGE 55 . Attraction of a rectangular mass CONTENTS . xi.
Side xiv
... thickness . 85. Remarks on Professors Hennessy and Haughton's calcula- tions 86. Argument drawn from the present aspect of the surface of the Earth in mountains , plains , and oceans PAGE 77 78 79 80 8883 • 85 CHAPTER II . FIGURE OF THE ...
... thickness . 85. Remarks on Professors Hennessy and Haughton's calcula- tions 86. Argument drawn from the present aspect of the surface of the Earth in mountains , plains , and oceans PAGE 77 78 79 80 8883 • 85 CHAPTER II . FIGURE OF THE ...
Side 1
... thickness upon a particle outside the shell : the law of attraction of the particles being that of the inverse square . 2. Let O be the centre of the shell , P any particle if it , OP = r , dr the thick- ness , Cthe attracted particle ...
... thickness upon a particle outside the shell : the law of attraction of the particles being that of the inverse square . 2. Let O be the centre of the shell , P any particle if it , OP = r , dr the thick- ness , Cthe attracted particle ...
Side 2
... thickness of the shell is dr . Hence the volume of the elementary portion of the shell thus formed at P equals rde .r sin Odp.dr ulti- mately , since its sides are ultimately at right angles to each other . Then , if the unit of ...
... thickness of the shell is dr . Hence the volume of the elementary portion of the shell thus formed at P equals rde .r sin Odp.dr ulti- mately , since its sides are ultimately at right angles to each other . Then , if the unit of ...
Side 3
... thickness on a particle situated within it . 4. We must proceed as in the last Proposition ; but the limits of y are in this case r -c and r + c ; hence , attraction of shell = #prdr 1 - dy c2 y2 πρrdr - c2 - ( 2c — 2c ) = 0 ; therefore ...
... thickness on a particle situated within it . 4. We must proceed as in the last Proposition ; but the limits of y are in this case r -c and r + c ; hence , attraction of shell = #prdr 1 - dy c2 y2 πρrdr - c2 - ( 2c — 2c ) = 0 ; therefore ...
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A Treatise on Attractions, Laplace's Functions and the Figure of the Earth John Henry Pratt Uten tilgangsbegrensning - 1868 |
A Treatise on Attractions, Laplace's Functions and the Figure of the Earth John Henry Pratt Uten tilgangsbegrensning - 1865 |
Treatise on Attractions, Laplace's Functions and the Figure of the Earth John Henry Pratt Uten tilgangsbegrensning - 1865 |
Vanlige uttrykk og setninger
amplitudes angles angular velocity attraction axes axis of revolution calculated Cambridge Cape Comorin cause centre centrifugal force CHARLES KINGSLEY Clairaut's Theorem cloth co-ordinates coefficient coincidence CONIC SECTIONS const cos² Crown 8vo crust Damargida deduced distance Ea² Earth Earth's mass ellipticity equi error Fcap fluid mass formula geodetic Hence hypothesis integration Kaliana Laplace's Equation Laplace's Functions last Article latitude law of density librium M.A. Second Edition mean ellipticity measured Mechanical Philosophy meridian miles nearly spherical Ocean original fluidity particle pendulum plumb-line point xyz Precession pressure PROP quantities ratio result series of Laplace's shell sin² spheroid station strata stratum Substituting Suppose surfaces of equal term thickness ticity Treatise Trinity College vanish W₁ w²a Y₁ zero μ² µ³
Populære avsnitt
Side 88 - 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 88 - 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 95 - The fitness of Holy Scripture for Unfolding the Spiritual Life of Man : Christ the Desire of all Nations ; or, the Unconscious Prophecies of Heathendom.
Side 85 - 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 95 - A GENERAL SURVEY OF THE HISTORY OF THE CANON OF THE NEW TESTAMENT DURING THE fIRST FOUR CENTURIES. Fourth Edition. With Preface on "Supernatural Religion.
Side 96 - Wilson. — A MEMOIR OF GEORGE WILSON, MD, FRSE, Regius Professor of Technology in the University of Edinburgh. By his SISTER. New Edition. Crown 8vo. 6s. "An exquisite and touching portrait of a rare and beautiful spirit.
Side 93 - Prize Essay for 1877. 8vo. &r. 6d. SMITH— Works by the Rev. BARNARD SMITH, MA, Rector of Glaston, Rutland, late Fellow and Senior Bursar of St. Peter's College, Cambridge. ARITHMETIC AND ALGEBRA, in their Principles and Application ; with numerous systematically arranged Examples taken from the Cambridge Examination Papers, with especial reference to the Ordinary Examination for the BA Degree.
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