Mathematical tracts on the lunar and planetary theories [&c.]. |
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... VARIATIONS , AND THE UNDULATORY THEORY OF OPTICS . Designed for the use of Students in the University . BY GEORGE BIDDELL AIRY , M.A. ASTRONOMER ROYAL , FORMERLY FELLOW OF TRINITY COLLEGE , AND LATE PLUMIAN PROFESSOR OF ASTRONOMY AND ...
... VARIATIONS , AND THE UNDULATORY THEORY OF OPTICS . Designed for the use of Students in the University . BY GEORGE BIDDELL AIRY , M.A. ASTRONOMER ROYAL , FORMERLY FELLOW OF TRINITY COLLEGE , AND LATE PLUMIAN PROFESSOR OF ASTRONOMY AND ...
Page 50
... : their sum constitutes the elliptic inequality in longitude . Its maximum is about 22692 " . The next term , which is called the variation , is proportional to sin 2 { pt ( mpt + B ) } , = = It is or sin 2 ( Moon's mean 50 LUNAR THEORY .
... : their sum constitutes the elliptic inequality in longitude . Its maximum is about 22692 " . The next term , which is called the variation , is proportional to sin 2 { pt ( mpt + B ) } , = = It is or sin 2 ( Moon's mean 50 LUNAR THEORY .
Page 72
... variation of value , used in the definition at least of a differential coefficient , is hypothetical only and not necessarily true . We state that if we alter the value of one quantity , and if we find the corresponding alteration of ...
... variation of value , used in the definition at least of a differential coefficient , is hypothetical only and not necessarily true . We state that if we alter the value of one quantity , and if we find the corresponding alteration of ...
Page 84
... variation of parameters . This artifice of solution is founded entirely upon the obvious fact , that any equation between two ( or more ) quantities ( as x and y , or r and 0 ) may be changed into any other equation , provided that ...
... variation of parameters . This artifice of solution is founded entirely upon the obvious fact , that any equation between two ( or more ) quantities ( as x and y , or r and 0 ) may be changed into any other equation , provided that ...
Page 85
... variation . And it generally happens that , among the infinite number of ways of effecting this , we may choose one which will possess some other convenient property . Suppose , for instance , we had the equation d2z dt2 + n2z = 0 . The ...
... variation . And it generally happens that , among the infinite number of ways of effecting this , we may choose one which will possess some other convenient property . Suppose , for instance , we had the equation d2z dt2 + n2z = 0 . The ...
Other editions - View all
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