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 |
Inni boken
Resultat 1-5 av 55
Side 28
... representing the Moon's latitude ) is 4 , where tan o k . sin ( y ) ; and if we draw a great circle for the hypothe- nuse of the triangle ; then the angle opposite to the side is = determined by this equation tany tan sin ( 0 - y ) ...
... representing the Moon's latitude ) is 4 , where tan o k . sin ( y ) ; and if we draw a great circle for the hypothe- nuse of the triangle ; then the angle opposite to the side is = determined by this equation tany tan sin ( 0 - y ) ...
Side 48
... represented by supposing it to and supposing that ellipse to revolve in the same direction , with an`angular velocity which is to the whole angular velocity of M as 1 - c : 1 ; or which is to the angular velocity of M in that moveable ...
... represented by supposing it to and supposing that ellipse to revolve in the same direction , with an`angular velocity which is to the whole angular velocity of M as 1 - c : 1 ; or which is to the angular velocity of M in that moveable ...
Side 49
... 0 } ] : - - - and , since c and 22mc each nearly 1 , the Moon's pa- rallax , for one revolution , will be nearly represented by the expression A. M. T. 4 P { 1+ ( e + 15 me ) cos EXPLANATION OF THE EFFECT OF DIFFERENT TERMS . 49.
... 0 } ] : - - - and , since c and 22mc each nearly 1 , the Moon's pa- rallax , for one revolution , will be nearly represented by the expression A. M. T. 4 P { 1+ ( e + 15 me ) cos EXPLANATION OF THE EFFECT OF DIFFERENT TERMS . 49.
Side 50
... represented by 15 P { 1 + e cos 0 + · me cos ( 0 + 180 ° ) } , 8 15 or P { 1+ ( e me ) cos 0 } : 8 and here the apparent eccentricity is e ( 1 – 150 m ) . - 8 The eccentricity therefore is increased by this term when the axis of the ...
... represented by 15 P { 1 + e cos 0 + · me cos ( 0 + 180 ° ) } , 8 15 or P { 1+ ( e me ) cos 0 } : 8 and here the apparent eccentricity is e ( 1 – 150 m ) . - 8 The eccentricity therefore is increased by this term when the axis of the ...
Side 52
... represented by e [ cos ( c0 − a ) + 15 Put e for { ( 2 – 2m − becomes - - 8 - - m cos { ( 2 — 2m — c ) 0 − 2B + a } ] . 2c ) 0 − 2ß + 2a } ; then the expression e { cos ( co- a ) + + 15 8 m cos ( e + c − a ) } 15 = = e { 1+ m cos e } ...
... represented by e [ cos ( c0 − a ) + 15 Put e for { ( 2 – 2m − becomes - - 8 - - m cos { ( 2 — 2m — c ) 0 − 2B + a } ] . 2c ) 0 − 2ß + 2a } ; then the expression e { cos ( co- a ) + + 15 8 m cos ( e + c − a ) } 15 = = e { 1+ m cos e } ...
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 |
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 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