A treatise on attractions, Laplace's functions, and the figure of the earth1860 |
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Resultat 1-5 av 28
Side 10
... proved geometrically exactly as in Art . 5 . 14. If we put the ellipticity of the spheroide , and sup- pose e so small that ... prove Ivory's Theorem . 2 x2 y2 22 a2 16. Let ++ = 1 , and x2 y2 z2 + + a B2 : 1 , y2 be the equations to the ...
... proved geometrically exactly as in Art . 5 . 14. If we put the ellipticity of the spheroide , and sup- pose e so small that ... prove Ivory's Theorem . 2 x2 y2 22 a2 16. Let ++ = 1 , and x2 y2 z2 + + a B2 : 1 , y2 be the equations to the ...
Side 13
... proved for the attractions parallel to the other axes : and consequently the Theorem , as enunciated , is true . We may observe that one of these ellipsoids must neces- sarily be wholly within the other . For if not , the points in ...
... proved for the attractions parallel to the other axes : and consequently the Theorem , as enunciated , is true . We may observe that one of these ellipsoids must neces- sarily be wholly within the other . For if not , the points in ...
Side 15
... prove that d2 V d2 V d2 V + + df2 + dg2 + dh2 = 0 , or Απρ ' , αε- - cording as the attracted particle is not or is part of the mass itself ; p ' being the density of the attracted particle in the latter case . 21. By differentiating V ...
... prove that d2 V d2 V d2 V + + df2 + dg2 + dh2 = 0 , or Απρ ' , αε- - cording as the attracted particle is not or is part of the mass itself ; p ' being the density of the attracted particle in the latter case . 21. By differentiating V ...
Side 16
... proved , d'U ' d'U ' d'U ' + + df2 dg2 dh2 = 0 ; d2 V d2 V d2V d2U ď2 U d2 U df2 —・ + dg2 + dh2 = df2 + dg2 + dh2 · The centre of the sphere may be chosen as near the attracted particle as we please ; and therefore the radius of the ...
... proved , d'U ' d'U ' d'U ' + + df2 dg2 dh2 = 0 ; d2 V d2 V d2V d2U ď2 U d2 U df2 —・ + dg2 + dh2 = df2 + dg2 + dh2 · The centre of the sphere may be chosen as near the attracted particle as we please ; and therefore the radius of the ...
Side 21
... prove that if Q , and R , be two Laplace's Co- 2π efficients or Functions , then [ * [ ** QR , dpdw = 0 , when i and i ' are different integers . 0 26. By Laplace's Equation in the last Article Qi i ( i + 1 ) Q1 = − d αμ .. { ( 2 d Q 1 ...
... prove that if Q , and R , be two Laplace's Co- 2π efficients or Functions , then [ * [ ** QR , dpdw = 0 , when i and i ' are different integers . 0 26. By Laplace's Equation in the last Article Qi i ( i + 1 ) Q1 = − d αμ .. { ( 2 d Q 1 ...
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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.
Side 88 - Crown 8vo. 7s. 6d. HOWARD. — The Pentateuch ; Or, the Five Books of Moses. Translated into English from the Version of the LXX. With Notes on its Omissions and Insertions, and also on the Passages in which it differs from the Authorized Version. By the Hon. HENRY HOWARD, DD Crown 8vo. GENESIS, One Volume, 8s. 6d. ; EXODUS AND LEVITICUS, One Volume, 10s. 6d. ; NUMBERS AND DEUTERONOMY, One Volume, 10s. 6d. HOZIER. — The Seven Weeks' War ; Its Antecedents and its Incidents.
Side 96 - THE SEVEN KINGS OF ROME. An Easy Narrative, abridged from the First Book of Livy by the omission of Difficult Passages; being a First Latin Reading Book, with Grammatical Notes and Vocabulary.
Side 94 - Others are in progress, and will be announced in due time. THRING.— A Construing Book. Compiled by the Rev. EDWARD THRING, MA Head Master of Uppingham Grammar School, late -Fellow of King's College, Cambridge. Fcap.