An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the History of the Problem Up to the Time of NewtonMacmillan, 1853 - 103 sider |
Inni boken
Resultat 1-5 av 17
Side 5
... uniform attracting sphere whose density is p and radius OA = c . a > c , the particle being without the sphere . Let the whole sphere be divided into circular laminæ by planes perpendicular to OP . Let SQ be one of these . PS = x , PQz ...
... uniform attracting sphere whose density is p and radius OA = c . a > c , the particle being without the sphere . Let the whole sphere be divided into circular laminæ by planes perpendicular to OP . Let SQ be one of these . PS = x , PQz ...
Side 6
... then the whole sphere may be considered as the aggregate of an infinite number of uniform shells , and by Cor . 1 , each acts as if condensed into its centre . ATTRACTIONS . 7 7. Let us now consider the case 6 LUNAR THEORY .
... then the whole sphere may be considered as the aggregate of an infinite number of uniform shells , and by Cor . 1 , each acts as if condensed into its centre . ATTRACTIONS . 7 7. Let us now consider the case 6 LUNAR THEORY .
Side 54
... uniform circular motion which ancient astronomers had observed , but which , until the time of Newton , were so many unconnected phenomena , or , at least , had only such arbitrary connexions as the astronomers chose to assign , by ...
... uniform circular motion which ancient astronomers had observed , but which , until the time of Newton , were so many unconnected phenomena , or , at least , had only such arbitrary connexions as the astronomers chose to assign , by ...
Side 56
... uniform angular velocity ; and as , to the same order , the value of u is constant , the two together indicate that the moon moves uniformly in a circle , the period of a revolution 2π being which is , therefore , the expression for a ...
... uniform angular velocity ; and as , to the same order , the value of u is constant , the two together indicate that the moon moves uniformly in a circle , the period of a revolution 2π being which is , therefore , the expression for a ...
Side 57
... uniform , and equal to ( 1 − c ) p . 67. The two terms 2e sin ( cpt- a ) + že sin 2 ( cpt - a ) con- stitute the elliptic inequality , and their effect may be further illustrated by means of a diagram . Let the full line AMB ( fig . 8 ) ...
... uniform , and equal to ( 1 − c ) p . 67. The two terms 2e sin ( cpt- a ) + že sin 2 ( cpt - a ) con- stitute the elliptic inequality , and their effect may be further illustrated by means of a diagram . Let the full line AMB ( fig . 8 ) ...
Innhold
22 | |
23 | |
24 | |
27 | |
30 | |
35 | |
36 | |
43 | |
51 | |
52 | |
54 | |
55 | |
58 | |
61 | |
62 | |
64 | |
66 | |
79 | |
81 | |
82 | |
83 | |
84 | |
86 | |
88 | |
90 | |
91 | |
92 | |
93 | |
94 | |
96 | |
97 | |
99 | |
100 | |
102 | |
Andre utgaver - Vis alle
An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the ... Hugh Godfray Uten tilgangsbegrensning - 1859 |
An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the ... Hugh Godfray Uten tilgangsbegrensning - 1859 |
An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the ... Hugh Godfray Uten tilgangsbegrensning - 1859 |
Vanlige uttrykk og setninger
2e sin cpt 3m²e angle angular velocity annual equation anomaly apogee apse line astronomers attraction bodies calculated Cambridge central disturbing force centre cloth coefficient College considered correction cos(c Crown 8vo determine differential equation discovery distance E-Ma E+Ma earth eccentric ecliptic Edition effect elliptic inequality epicycle equal Euclid's Elements evection expression fourth order h²u³ Hence higher order Hipparchus hu³ hypothesis inclination introduced latitude Lunar Theory mean angular mean motion mean place mean value moon moon moves moon's longitude moon's motion moon's orbit nearly neglected Newton node numerous observation obtained octants order of approximation parallax perigee periodical terms position Ptolemy Ptolemy's quadrature quantity radius vector revolution second order shew sidereal month sin(g sin2 solution Substituting suppose supposition syzygy third order true anomaly true longitude U₁ variation že² ᏧᎾ
Populære avsnitt
Side 9 - Prize Essay for 1877. 8vo. 8.r. 6V. SMITH— Works by the Rev. BARNARD SMITH, MA, Rector of Glaston, Rutland, late Fellow and Senior Bursar of St. Peter's College, Cambridge. ARITHMETIC AND ALGEBRA, in their Principles and Application ; with numerous systematically arranged Examples taken from the Cambridge Examination Papers, with especial reference to the Ordinary Examination for the BA Degree.
Side 14 - AN ELEMENTARY TREATISE ON THE LUNAR THEORY, with a Brief Sketch of the Problem up to the time of Newton. Second Edition, revised. Crown 8vo. cloth. 5*. 6d. Hemming. — AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS, for the Use; of Colleges and Schools.
Side 5 - SIMPSON.— An Epitome of the History of the Christian Church during the first Three Centuries and during the Time of the Reformation, adapted for the use of Students in the Universities and in Schools.
Side 12 - WILSON (WP)— A TREATISE ON DYNAMICS. By WP WILSON, MA, Fellow of St. John's College, Cambridge, and Professor of Mathematics in Queen's College, Belfast. 8vo.
Side 6 - The Child's Grammar. Being the substance of the above, with Examples for Practice. Adapted for Junior Classes. A New Edition. 18mo. limp cloth, Is.
Side 2 - Archer).— Works by the Rev. WILLIAM ARCHER BUTLER, MA, late Professor of Moral Philosophy in the University of Dublin : SERMONS, DOCTRINAL AND PRACTICAL. Edited, with a Memoir of the Author's Life, by THOMAS WOODWARD, Dean of Down.
Side 12 - HEMMING— AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS, for the Use of Colleges and Schools. By GW HEMMING, MA, Fellow of St. John's College, Cambridge. Second Edition, with Corrections and Additions. 8vo.
Side 8 - TODHUNTER.— A Treatise on the Differential Calculus ; and the Elements of the Integral Calculus. With numerous Examples. By I. TODHUNTER, MA, Fellow and Tutor of St. John's College, Cambridge. Second Edition. Crown 8vo. cloth, 10».