A Treatise on Attractions, Laplace's Functions, and the Figure of the EarthMacmillan and Company, 1861 - 122 sider |
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Side v
... expanding R • 25. Laplace's Coefficients , Equation , and Functions defined 26. The definite integral of the product of two of Laplace's Func- tions of a different order always equals zero 15 • 17 ib . 19 20 21 · ART . 27. Any function ...
... expanding R • 25. Laplace's Coefficients , Equation , and Functions defined 26. The definite integral of the product of two of Laplace's Func- tions of a different order always equals zero 15 • 17 ib . 19 20 21 · ART . 27. Any function ...
Side vi
... expanded in a series of Laplace's Func- tions . Remarks on this Proposition · 34. A function can be arranged in only one series of Laplace's Functions 37. Expansion of Laplace's coefficient of the ith order 39. Examples of arrangement ...
... expanded in a series of Laplace's Func- tions . Remarks on this Proposition · 34. A function can be arranged in only one series of Laplace's Functions 37. Expansion of Laplace's coefficient of the ith order 39. Examples of arrangement ...
Side 14
... It follows , then , that the calculation of the attractions A , B , C depends upon that of V. This function cannot be calculated except when expanded into a series . It is CHAPTER II LAPLACE'S COEFFICIENTS AND FUNCTIONS.
... It follows , then , that the calculation of the attractions A , B , C depends upon that of V. This function cannot be calculated except when expanded into a series . It is CHAPTER II LAPLACE'S COEFFICIENTS AND FUNCTIONS.
Side 15
John Henry Pratt. calculated except when expanded into a series . It is a function of great importance in Physics : and , for the sake of a name , has been denominated the Potential of the attracting mass , as upon its value the amount ...
John Henry Pratt. calculated except when expanded into a series . It is a function of great importance in Physics : and , for the sake of a name , has been denominated the Potential of the attracting mass , as upon its value the amount ...
Side 19
... expanding R in a series . 24. The expression for R becomes , when the polar co - ordi- nates are substituted , 12 [ 22 + y22 - 2rr ' { μμ ' + √ 1 − μ3 √1 − μ'2 cos ( w — w ' ) } ] ̄3 , - and this may be expanded into either of the ...
... expanding R in a series . 24. The expression for R becomes , when the polar co - ordi- nates are substituted , 12 [ 22 + y22 - 2rr ' { μμ ' + √ 1 − μ3 √1 − μ'2 cos ( w — w ' ) } ] ̄3 , - and this may be expanded into either of the ...
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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«.