A Treatise on Attractions, Laplace's Functions and the Figure of the EarthMacmillan, 1865 - 162 páginas |
Dentro del libro
Resultados 1-5 de 56
Página vii
... of a homogeneous mass d2V d2V d2 V 21. Proof that + df2 + dg2 + dh • = 0 , or 4πp ' , according as the - attracted particle is not or is part of the attracting mass , V being the Potential • 14 15 ART . 22. First equation true also of R ,
... of a homogeneous mass d2V d2V d2 V 21. Proof that + df2 + dg2 + dh • = 0 , or 4πp ' , according as the - attracted particle is not or is part of the attracting mass , V being the Potential • 14 15 ART . 22. First equation true also of R ,
Página viii
... equations in R and V to polar co - ordi- nates 25. Method of expanding R 26. Laplace's Coefficients , Equation , and Functions defined 27 . PAGE · • 17 ib . 19 21 ib . The definite integral of the product of two of Laplace's Func- tions ...
... equations in R and V to polar co - ordi- nates 25. Method of expanding R 26. Laplace's Coefficients , Equation , and Functions defined 27 . PAGE · • 17 ib . 19 21 ib . The definite integral of the product of two of Laplace's Func- tions ...
Página x
... Equation of Equilibrium of a mass consisting of nearly spherical strata 77. The form of the strata is spheroidal " " · 78. Conditions resulting from the fluid theory . Meaning of " sphe- roid of equilibrium , " and " surface of ...
... Equation of Equilibrium of a mass consisting of nearly spherical strata 77. The form of the strata is spheroidal " " · 78. Conditions resulting from the fluid theory . Meaning of " sphe- roid of equilibrium , " and " surface of ...
Página 2
... equation by means of 2 y2 = c2 + r2 2cr cos 0 , de .. sin y = c - r cose y2 + c2 — p2 - = dy cr ; 2c .. attraction of P on C in CO = prdr = 2c2 ( 1 1+ y2 dy do . being To obtain the attraction of all the particles of the shell we ...
... equation by means of 2 y2 = c2 + r2 2cr cos 0 , de .. sin y = c - r cose y2 + c2 — p2 - = dy cr ; 2c .. attraction of P on C in CO = prdr = 2c2 ( 1 1+ y2 dy do . being To obtain the attraction of all the particles of the shell we ...
Página 5
... d ( 1 de ( = d ' 4c ) = c de = 0 , ... = S $ ( c ) dc + cp ( c ) , doc = 26c + c dc therefore by the first of the above equations of condition 2 pc + 210 doc dc = const . = 34 , and multiplying by c2 and integrating c2 4 ( c.
... d ( 1 de ( = d ' 4c ) = c de = 0 , ... = S $ ( c ) dc + cp ( c ) , doc = 26c + c dc therefore by the first of the above equations of condition 2 pc + 210 doc dc = const . = 34 , and multiplying by c2 and integrating c2 4 ( c.
Índice
1 | |
2 | |
14 | |
28 | |
36 | |
42 | |
46 | |
54 | |
114 | |
120 | |
134 | |
141 | |
142 | |
143 | |
147 | |
150 | |
56 | |
61 | |
63 | |
71 | |
72 | |
77 | |
85 | |
91 | |
97 | |
151 | |
152 | |
154 | |
155 | |
156 | |
159 | |
160 | |
3 | |
Otras ediciones - Ver todo
Términos y frases comunes
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
Pasajes populares
Página 2 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.