A Treatise on Attractions, Laplace's Functions and the Figure of the EarthMacmillan, 1865 - 162 páginas |
Dentro del libro
Resultados 1-5 de 22
Página 7
... parallel to z , angle which the plane in which is measured makes with the plane xz ; .. x = ƒ + r sin cos p , y = g + r sin 0 sin & , z = h + r cos 0 , and the equation to the spheroid becomes ( f + r sin cos ) 2 + ( g + r sin 0 sin ) 2 ...
... parallel to z , angle which the plane in which is measured makes with the plane xz ; .. x = ƒ + r sin cos p , y = g + r sin 0 sin & , z = h + r cos 0 , and the equation to the spheroid becomes ( f + r sin cos ) 2 + ( g + r sin 0 sin ) 2 ...
Página 8
... parallel to the axes of xyz are p sin2 e cos & dr de do , p sin2 0 sin & dr de do , p sine cos e dr de dp . Let A , B , C be the attractions of the whole spheroid in the directions of the axes , estimated positive towards the centre of ...
... parallel to the axes of xyz are p sin2 e cos & dr de do , p sin2 0 sin & dr de do , p sine cos e dr de dp . Let A , B , C be the attractions of the whole spheroid in the directions of the axes , estimated positive towards the centre of ...
Página 11
... parallel to the axis of x on the particle at the point ( f'g'h ' ) on the surface of the second , is to the attraction of the second ellipsoid on the particle at the point ( fgh ) on the surface of the first in the same direction , as ...
... parallel to the axis of x on the particle at the point ( f'g'h ' ) on the surface of the second , is to the attraction of the second ellipsoid on the particle at the point ( fgh ) on the surface of the first in the same direction , as ...
Página 12
... parallel to z , = pab SS [ ↓ { ( ƒ— ar ) 2 + ( g − Bs ) 2 + ( h + yt ) 2 } 2 - & { ( f ― ar ) 2 + ( g- Bs ) 2 + ( h - yt ) " } ] dr ds = SPHEROID ON EXTERNAL POINT . IVORY'S THEOREM . 13 12 ATTRACTIONS . Attraction of a homogeneous ...
... parallel to z , = pab SS [ ↓ { ( ƒ— ar ) 2 + ( g − Bs ) 2 + ( h + yt ) 2 } 2 - & { ( f ― ar ) 2 + ( g- Bs ) 2 + ( h - yt ) " } ] dr ds = SPHEROID ON EXTERNAL POINT . IVORY'S THEOREM . 13 12 ATTRACTIONS . Attraction of a homogeneous ...
Página 13
... 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 which they cut each other lie ...
... 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 which they cut each other lie ...
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.