Mathematical tracts on the lunar and planetary theories [&c.]. |
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... PLANE AND SPHERICAL TRIGONO- METRY . NINTH EDITION . 78. 6d . MR . SNOWBALL'S INTRODUCTION TO PLANE TRIGO- 58 . NOMETRY . SECOND EDITION . AND HYDROSTATICS . PROF . TAIT'S AND MR . STEELE'S TREATISE ON DY- MR . SNOWBALL'S CAMBRIDGE ...
... PLANE AND SPHERICAL TRIGONO- METRY . NINTH EDITION . 78. 6d . MR . SNOWBALL'S INTRODUCTION TO PLANE TRIGO- 58 . NOMETRY . SECOND EDITION . AND HYDROSTATICS . PROF . TAIT'S AND MR . STEELE'S TREATISE ON DY- MR . SNOWBALL'S CAMBRIDGE ...
Page 12
... plane , and the area passed over by its radius vector is very nearly pro- portional to the time . Let E and M , ( fig . 1 ) be the Earth and Moon , m ' the Sun ; G the center of gravity of the Earth and Moon ; join m'E , m ' G , m'M ...
... plane , and the area passed over by its radius vector is very nearly pro- portional to the time . Let E and M , ( fig . 1 ) be the Earth and Moon , m ' the Sun ; G the center of gravity of the Earth and Moon ; join m'E , m ' G , m'M ...
Page 15
... plane in which she is moving , and thus the plane of her orbit is perpetu- ally changing . There appears to be no better mode of estimating the disturbing force , than by resolving it into three parts , one in the direction of the ...
... plane in which she is moving , and thus the plane of her orbit is perpetu- ally changing . There appears to be no better mode of estimating the disturbing force , than by resolving it into three parts , one in the direction of the ...
Page 16
... plane : draw MB , EA , perpendicular to the plane of the ecliptic ; join m'M , m'B , BGA : let m'Gr ' , AB = p , EM = r , m'E = y , m'M = y ' , tan MGB = s . Then AB is the projection of EM on the plane of the ecliptic . The force of m ...
... plane : draw MB , EA , perpendicular to the plane of the ecliptic ; join m'M , m'B , BGA : let m'Gr ' , AB = p , EM = r , m'E = y , m'M = y ' , tan MGB = s . Then AB is the projection of EM on the plane of the ecliptic . The force of m ...
Page 17
... plane of the ecliptic . The only force on M , perpendicular to the plane of the ecliptic , is the resolved part of the force in MG . It is , therefore , m ' . MG 13 yo m ' . MG sin MGB S A. M. T. y's · √ ( 1 + 8a ) · . 2 The force on E ...
... plane of the ecliptic . The only force on M , perpendicular to the plane of the ecliptic , is the resolved part of the force in MG . It is , therefore , m ' . MG 13 yo m ' . MG sin MGB S A. M. T. y's · √ ( 1 + 8a ) · . 2 The force on E ...
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Mathematical Tracts on the Lunar and Planetary Theories George Biddell Airy No preview available - 2019 |
Mathematical Tracts on the Lunar and Planetary Theories George Biddell Airy No preview available - 2019 |
Common terms and phrases
2π λ analyzing plate angle angular velocity attraction axis bright Cambridge cloth co-ordinates coefficient 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 function ƒ² glass h²)² 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 point of Aries principal plane produced PROP proportion quantity radius vector refraction rhombohedron rings shew sin² spheroid Sun's suppose surface tangent tion tourmaline undulation vibration wave