Mathematical Tracts on the Lunar and Planetary Theories, the Figure of the Earth, Precession and Nutation, the Calculus of Variations, and the Undulatory Theory of Optics: Designed for the Use of Students in the UniversityMacmillan and Company, 1858 - 400 sider |
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Resultat 1-5 av 56
Side 10
... give the values of a , B , & c . To obtain the result generally , Lagrange's theorem must be used . If y = z + e . ( y ) , then y = = ≈ + $ ( ~ ) . — + dz ( $ ( z ) e d e2 { $ ( 2 ) } ' } • 1.2.3 Here , carrying the approximation no ...
... give the values of a , B , & c . To obtain the result generally , Lagrange's theorem must be used . If y = z + e . ( y ) , then y = = ≈ + $ ( ~ ) . — + dz ( $ ( z ) e d e2 { $ ( 2 ) } ' } • 1.2.3 Here , carrying the approximation no ...
Side 23
... give the form and position of the orbit . The time of describing any part will then be found by integrating the equation dt p2 2 do ̄ √ ( h2 + 2 so Tp3 ) 1 u2 h2 + 2 0 35. PROP . 12. To expand the expressions for • P T u 2 , 3 , and S ...
... give the form and position of the orbit . The time of describing any part will then be found by integrating the equation dt p2 2 do ̄ √ ( h2 + 2 so Tp3 ) 1 u2 h2 + 2 0 35. PROP . 12. To expand the expressions for • P T u 2 , 3 , and S ...
Side 30
... gives , by ( 4 ) , u = 3k'a m'a's 3k'a α- 4 2h2a3 + ae cos ( 0 - a ) - 4 ( 22 - 1 ) cos 2 ( 0 - y ) 3m'a's + cos { ( 2 — 2m ) 0 — 2B } . h3a3 { ( 2 — 2m ) 2 — 1 } Or , taking the last term to the second order only , u = 3k'a m'a's k'a α ...
... gives , by ( 4 ) , u = 3k'a m'a's 3k'a α- 4 2h2a3 + ae cos ( 0 - a ) - 4 ( 22 - 1 ) cos 2 ( 0 - y ) 3m'a's + cos { ( 2 — 2m ) 0 — 2B } . h3a3 { ( 2 — 2m ) 2 — 1 } Or , taking the last term to the second order only , u = 3k'a m'a's k'a α ...
Side 32
... gives , by the comparison of coefficients of the same cosine , 1 - c2 A 4 , α and there is now no arc in any part of the expression for u . # 44 . It is not however to be imagined , that the peculiar form of the assumption ua { 1 + e ...
... gives , by the comparison of coefficients of the same cosine , 1 - c2 A 4 , α and there is now no arc in any part of the expression for u . # 44 . It is not however to be imagined , that the peculiar form of the assumption ua { 1 + e ...
Side 33
... gives w = e cos ( 0 / ( 1 + 1 ) − a } + & c . α - or u = a + ae cos ( c✪ − a ) + & c . c = 1 + 4 , - A where c2 = 1 + or 1 - c2 : = a A a the same equation as that found in ( 44 ) . 45. Suppose , now , we substituted a { 1+ e cos ...
... gives w = e cos ( 0 / ( 1 + 1 ) − a } + & c . α - or u = a + ae cos ( c✪ − a ) + & c . c = 1 + 4 , - A where c2 = 1 + or 1 - c2 : = a A a the same equation as that found in ( 44 ) . 45. Suppose , now , we substituted a { 1+ e cos ...
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Mathematical Tracts on the Lunar and Planetary Theories, the Figure of the ... George Biddell Airy Uten tilgangsbegrensning - 1858 |
Mathematical Tracts on the Lunar and Planetary Theories, the Figure of the ... George Biddell Airy Uten tilgangsbegrensning - 1858 |
Mathematical Tracts on the Lunar and Planetary Theories: The Figure of the ... George Biddell Airy, Sir Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
2π λ analyzing plate angle angular velocity attraction axes axis bright Cambridge cloth co-ordinates coefficient College Consequently constant cos² Crown 8vo crystal curve depending different colours differential direction displacement distance disturbing force dR dR dt dt Earth elliptically polarized ellipticity equal equation expression extraordinary ray Fcap front ƒ² glass Hence inclined integration intensity investigation length longitude mean anomaly Moon motion multiplied nearly node nutation ordinary ray parallel particles perigee perihelion perpendicular plane of incidence plane of polarization plane of reflection precession principal plane produced PROP proportion quantity radius vector refraction rhombohedron rings shew sin² spheroid Sun's suppose surface tion tourmaline Trinity College undulation vibration vt-x wave
Populære avsnitt
Side 405 - BIRKS.— The Difficulties of Belief in connexion with the Creation and the Fall. By THOMAS RAWSON BIRKS, MA Rector of Kelshall, and Author of "The Life of the Rev. E. Bickersteth.
Side 405 - II. — Containing select Epigrams of Martial. Edited with English notes, by JEB MAYOR, MA, Fellow and Classical Lecturer of St. John's College, Cambridge, Editor of Juvenal. [Preparing. ARISTOPHANES. The Greek Text revised, with a Commentary. By WG CLARK, MA, Fellow and Assistant Tutor of Trinity College.