A Treatise on Attractions, Laplace's Functions and the Figure of the EarthMacmillan, 1865 - 162 σελίδες |
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Σελίδα iv
... shown that the mass now consists of nearly spherical strata , whatever its former history may have been ; that , on the fluid hypothesis , the form of its surface and of all its internal layers must be oblate spheroids ; and that the ...
... shown that the mass now consists of nearly spherical strata , whatever its former history may have been ; that , on the fluid hypothesis , the form of its surface and of all its internal layers must be oblate spheroids ; and that the ...
Σελίδα v
... shown to be erroneous in one particular , and is corrected so as to bring into the calculation the effect of Local Attraction . The degree of uncertainty which that disturbing element brings into the calculation of the figure of the ...
... shown to be erroneous in one particular , and is corrected so as to bring into the calculation the effect of Local Attraction . The degree of uncertainty which that disturbing element brings into the calculation of the figure of the ...
Σελίδα 10
... shown to be proportional to that of another ellipsoid , dependent on the first for form and dimensions , upon a particle internal to it , and therefore ( in the case of a spheroid , or ellipsoid of revolution ) determinable by the last ...
... shown to be proportional to that of another ellipsoid , dependent on the first for form and dimensions , upon a particle internal to it , and therefore ( in the case of a spheroid , or ellipsoid of revolution ) determinable by the last ...
Σελίδα 17
... shown by precisely the same process as in the previous Article , that d'R d2R d2R df * + dgr + dh = 0 , where R = { ( ƒ— x ) 2 + ( g − y ) 2 + ( k − z ) * } ̄ * , the reciprocal of the distance of any point of the body from the ...
... shown by precisely the same process as in the previous Article , that d'R d2R d2R df * + dgr + dh = 0 , where R = { ( ƒ— x ) 2 + ( g − y ) 2 + ( k − z ) * } ̄ * , the reciprocal of the distance of any point of the body from the ...
Σελίδα 22
... shown by going through the process of the last Proposition , Q being Q , or a constant . PROP . To prove that a function of p , √1 - μ2 cos w , and √1 - μ2 sin w , as F ( μ , w ) , can be expanded in a series of Laplace's Functions ...
... shown by going through the process of the last Proposition , Q being Q , or a constant . PROP . To prove that a function of p , √1 - μ2 cos w , and √1 - μ2 sin w , as F ( μ , w ) , can be expanded in a series of Laplace's Functions ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
amplitude angle attracted particle axes axis calculation Cape Comorin centre Clairaut's Theorem co-ordinates coefficient compartments cos 2m cos² crust Damargida deduced deflection difference distance earth earth's mass effect ellipticity equal equation equilibrium expansion find the attraction fluid mass fluid theory formula geodesy gravity height Hence Himmalayas hypothesis Indian Arc integration Kaliana Kalianpur Laplace's Equation Laplace's Functions last Article latitude law of attraction length longitude mean arc mean ellipse mean figure measured Mechanical Philosophy meniscus meridian miles nearly spherical ocean Ordnance Survey pendulum experiments plumb-line pole precession prism PROP quantities radius result rigid sea-level semi-axes series of Laplace's shell sin² solid sphere spheroid square station strata suppose T₂ thickness tion δα µ² µ³
Δημοφιλή αποσπάσματα
Σελίδα 2 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.
Σελίδα 11 - THE FIRST THREE SECTIONS OF NEWTON'S PRINCIPIA, ' With Notes and Illustrations. Also a collection of Problems, principally intended as Examples of Newton's Methods. By PERCIVAL FROST, MA Third Edition.
Σελίδα 15 - 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.
Σελίδα 4 - The design of this work has been to render the subject intelligible to beginners, and at the same time to afford the student the opportunity of obtaining all the information which he will require on this branch of Mathematics.
Σελίδα 11 - For really ripe scholarship. extensive acquaintance with Latin literature, and familiar knowledge of continental criticism, ancient and modern, it is unsurpassed among English editions.
Σελίδα 5 - New Edition. Crown 8vo. $s. KEY TO PLANE TRIGONOMETRY. Crown 8vo. los. 6d. A TREATISE ON SPHERICAL TRIGONOMETRY. New Edition, enlarged. Crown 8vo. 4-?. 6d. PLANE CO-ORDINATE GEOMETRY, as applied to the Straight Line and the Conic Sections. With numerous Examples.