A Treatise on Attractions, Laplace's Functions and the Figure of the EarthMacmillan, 1865 - 162 σελίδες |
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Σελίδα v
... propositions on the sea - level , on mapping countries , and on differences of local attraction in the stations of the Indian Arc , the volume is closed by a summary of the ar- gument regarding the hypothesis of the original fluidity of ...
... propositions on the sea - level , on mapping countries , and on differences of local attraction in the stations of the Indian Arc , the volume is closed by a summary of the ar- gument regarding the hypothesis of the original fluidity of ...
Σελίδα viii
... Proposition 34. A function can be arranged in only one series of Laplace's Functions 37. Expansion of Laplace's coefficient of the ¿ th order 39. Examples of arrangement in Laplace's Functions 22 30 31 • 33 38 CHAPTER III . ATTRACTION ...
... Proposition 34. A function can be arranged in only one series of Laplace's Functions 37. Expansion of Laplace's coefficient of the ¿ th order 39. Examples of arrangement in Laplace's Functions 22 30 31 • 33 38 CHAPTER III . ATTRACTION ...
Σελίδα 3
... Proposition ; but the limits of y are in this case r c and r + c ; hence , πprdr prte attraction of shell " prd ( 1 ) ... Propositions are so simple and beautiful , that it is interesting to enquire whether these properties belong ...
... Proposition ; but the limits of y are in this case r c and r + c ; hence , πprdr prte attraction of shell " prd ( 1 ) ... Propositions are so simple and beautiful , that it is interesting to enquire whether these properties belong ...
Σελίδα 4
... Propositions . PROP . To find the attraction of a homogeneous spherical shell on a particle without it ; the law of attraction being repre- sented by ( y ) , y being the distance . 7. The calculation is exactly analogous to that given ...
... Propositions . PROP . To find the attraction of a homogeneous spherical shell on a particle without it ; the law of attraction being repre- sented by ( y ) , y being the distance . 7. The calculation is exactly analogous to that given ...
Σελίδα 10
... , or ellipsoid of revolution ) determinable by the last Proposition . PROP . To enunciate and prove Ivory's Theorem . x2 16. Let ++ = 1 , and + -1 , and x2 a2 ++ = 1 , SPHEROID ON EXTERNAL POINT . IVORY'S THEOREM . 11 be 10 ATTRACTIONS .
... , or ellipsoid of revolution ) determinable by the last Proposition . PROP . To enunciate and prove Ivory's Theorem . x2 16. Let ++ = 1 , and + -1 , and x2 a2 ++ = 1 , SPHEROID ON EXTERNAL POINT . IVORY'S THEOREM . 11 be 10 ATTRACTIONS .
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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.