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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Side
... DR . HUMPHREY'S EXERCITATIONES IAMBICÆ . Or , Exercises in Greek Iambic Verse , with Rules . SECOND EDITION . 58. 6d . MR . MAYOR'S JUVENAL FOR SCHOOLS . MR . 108. 6d . MERIVALE'S ( Historian of Rome ) SALLUST FOR SCHOOLS . SECOND ...
... DR . HUMPHREY'S EXERCITATIONES IAMBICÆ . Or , Exercises in Greek Iambic Verse , with Rules . SECOND EDITION . 58. 6d . MR . MAYOR'S JUVENAL FOR SCHOOLS . MR . 108. 6d . MERIVALE'S ( Historian of Rome ) SALLUST FOR SCHOOLS . SECOND ...
Side 63
... dR = 2 { ( x ' — x ) 2 + ( y ' — y ) 2 } } ' ( x2 + y'2 ) # ' -m ' ( y ' - y ) + m'y ' dy ̄ ̄ { ( x ' — x ) 2 + ( y ' − y ) 2 ) § * ( x'2 + y'2 ) # * dR dx Consequently the disturbing force in x = — in y dy ' dR in which expressions ...
... dR = 2 { ( x ' — x ) 2 + ( y ' — y ) 2 } } ' ( x2 + y'2 ) # ' -m ' ( y ' - y ) + m'y ' dy ̄ ̄ { ( x ' — x ) 2 + ( y ' − y ) 2 ) § * ( x'2 + y'2 ) # * dR dx Consequently the disturbing force in x = — in y dy ' dR in which expressions ...
Side 64
... dR = ( x2 + y2 ) # dy Y. 79. PROP . 30. To transform the equations for rectangular co - ordinates into equations for ... dR dx , dR dy +2 + dx dt dy dt Again , subtracting the product of the first by y from that of the second by x , d 0 ...
... dR = ( x2 + y2 ) # dy Y. 79. PROP . 30. To transform the equations for rectangular co - ordinates into equations for ... dR dx , dR dy +2 + dx dt dy dt Again , subtracting the product of the first by y from that of the second by x , d 0 ...
Side 65
... dR dx , dR dy · + · dx dt dy dt . * If it were defined by polar co - ordinates , the complete differential coefficient would be dR dr dR de . + dr dt de dt . Either of these equivalent quantities may be expressed by d ( R ) , where it ...
... dR dx , dR dy · + · dx dt dy dt . * If it were defined by polar co - ordinates , the complete differential coefficient would be dR dr dR de . + dr dt de dt . Either of these equivalent quantities may be expressed by d ( R ) , where it ...
Side 66
... dR dr dR de dr dx do • + de , dx ; dR for dx dR and for dy where in obtaining 2 , • + · dr dy do dy dr , de , & c . we must be careful to express 9 dx ' dx in terms of x and y only without 0 , and 0 , in terms of x and y only , without r ,.
... dR dr dR de dr dx do • + de , dx ; dR for dx dR and for dy where in obtaining 2 , • + · dr dy do dy dr , de , & c . we must be careful to express 9 dx ' dx in terms of x and y only without 0 , and 0 , in terms of x and y only , without r ,.
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Mathematical Tracts on the Lunar and Planetary Theories, the Figure of the ... George Biddell Airy Uten tilgangsbegrensning - 1858 |
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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.