A Treatise on Attractions, Laplace's Functions and the Figure of the EarthMacmillan, 1865 - 162 σελίδες |
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Σελίδα iii
... give a comprehensive view of the various matters here taken up . My chief design in this treatise has been to give an ... gives me the opportunity of introducing the remarkable analysis of Laplace , which I have endeavoured to put in a ...
... give a comprehensive view of the various matters here taken up . My chief design in this treatise has been to give an ... gives me the opportunity of introducing the remarkable analysis of Laplace , which I have endeavoured to put in a ...
Σελίδα xii
... gives no evidence regarding geological changes of level 154 • 158. Effect of local attraction on sea - level 155 159. Examples 156 • 160. The bed of the Pacific Ocean must have a density above the average 159 CONCLUSION . SUMMARY OF ...
... gives no evidence regarding geological changes of level 154 • 158. Effect of local attraction on sea - level 155 159. Examples 156 • 160. The bed of the Pacific Ocean must have a density above the average 159 CONCLUSION . SUMMARY OF ...
Σελίδα 6
... gives A $ ( r ) = 4 , and therefore the inverse square is the only law which pos- sesses this property . 11. The form of the Earth and of the other bodies of the Solar System differing from the spherical , and more resem- bling the ...
... gives A $ ( r ) = 4 , and therefore the inverse square is the only law which pos- sesses this property . 11. The form of the Earth and of the other bodies of the Solar System differing from the spherical , and more resem- bling the ...
Σελίδα 20
... gives the following equation : d άμ dP : \ 1 d2P ( 1 − μ2 ) + άμς 1 - με απ + i ( i + 1 ) P = 0 , by integrating which P ; should be determined * . The series for R would then be known . For the direct integration of this equation ...
... gives the following equation : d άμ dP : \ 1 d2P ( 1 − μ2 ) + άμς 1 - με απ + i ( i + 1 ) P = 0 , by integrating which P ; should be determined * . The series for R would then be known . For the direct integration of this equation ...
Σελίδα 22
... gives no result . This property is true also when i = 0 , as may easily be 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 ...
... gives no result . This property is true also when i = 0 , as may easily be 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 ...
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Άλλες εκδόσεις - Προβολή όλων
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.