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 59
Side 1
... constants only . Multiply the equation by cos no * , then cos no . d'u de + n2 cos no . u + cos no . → = 0 ; * sinn 0 , sin ( n8 + D ) , or cos ( n + D ) , would have served as well for multiplier . A. M. T. 1 integrate the first term ...
... constants only . Multiply the equation by cos no * , then cos no . d'u de + n2 cos no . u + cos no . → = 0 ; * sinn 0 , sin ( n8 + D ) , or cos ( n + D ) , would have served as well for multiplier . A. M. T. 1 integrate the first term ...
Side 2
... constant being included in the sign of integration . Divide this equation by cos2 no : du 20 n sin no.u then + + cos no cos2 no И integrating , + cos no 1 cos3n ✪ Se cos no . 0 = 0 : 1 cos2 no · fe cos no . → = 0 , 1 or u = cos no пв ...
... constant being included in the sign of integration . Divide this equation by cos2 no : du 20 n sin no.u then + + cos no cos2 no И integrating , + cos no 1 cos3n ✪ Se cos no . 0 = 0 : 1 cos2 no · fe cos no . → = 0 , 1 or u = cos no пв ...
Side 4
... constants , is entirely indepen- dent of . The process above having shewn what is the form of the expression for u , we may sometimes solve the equation with greater ease , by assuming an expression with indeterminate coefficients ...
... constants , is entirely indepen- dent of . The process above having shewn what is the form of the expression for u , we may sometimes solve the equation with greater ease , by assuming an expression with indeterminate coefficients ...
Side 9
... constant de- pending on the time when the planet passed the perihelion , nt + e − B = ( 0 – B ) — 2e sin ( 0 – B ) -- - - e * { 1 + 2 √ / ( 1 − e2 ) } sin 2 ( 0 – B ) - & c . + { 1 + √ ( 1 − e2 ) } 2 + - 2e2 . { 1 + p √ ( 1 − e2 ) ...
... constant de- pending on the time when the planet passed the perihelion , nt + e − B = ( 0 – B ) — 2e sin ( 0 – B ) -- - - e * { 1 + 2 √ / ( 1 − e2 ) } sin 2 ( 0 – B ) - & c . + { 1 + √ ( 1 − e2 ) } 2 + - 2e2 . { 1 + p √ ( 1 − e2 ) ...
Side 21
... constant quantity ; do dt hence p2 ( h2 + 2foTp * ) * , and a = √ ( h * +2 [ oTp ' ) ; dt which is another form of equation ( 6 ) . Now to transform equation ( a ) , if we multiply both sides dt by it becomes do d d do 2 de dt + p2 ...
... constant quantity ; do dt hence p2 ( h2 + 2foTp * ) * , and a = √ ( h * +2 [ oTp ' ) ; dt which is another form of equation ( 6 ) . Now to transform equation ( a ) , if we multiply both sides dt by it becomes do d d do 2 de dt + p2 ...
Andre utgaver - Vis alle
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 |
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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.