The Philosophical magazine; a journal of theoretical, experimental and applied physics . h I have examined, no difference of consti-tution which analysis can reach. This renders it probablethat the action is definite, and that the sugar in all cases losesthe same amount of oxygen, although the remaining elementsmay in different cases be differently grouped. XXXIV. On the Theory of the the Rev. Brice Bkonwin.[Continued from p. 192.]~\T7E are now prepared to find (&o) ; for we have — = sin20 -S + 2« sin 0 cos d~ = S{2/i cos hA- (n- cv)iB)?sr dl~ at sin 5 sin z(<p —6).Or, by neglectin
The Philosophical magazine; a journal of theoretical, experimental and applied physics . h I have examined, no difference of consti-tution which analysis can reach. This renders it probablethat the action is definite, and that the sugar in all cases losesthe same amount of oxygen, although the remaining elementsmay in different cases be differently grouped. XXXIV. On the Theory of the the Rev. Brice Bkonwin.[Continued from p. 192.]~\T7E are now prepared to find (&o) ; for we have — = sin20 -S + 2« sin 0 cos d~ = S{2/i cos hA- (n- cv)iB)?sr dl~ at sin 5 sin z(<p —6).Or, by neglecting the very small term containing (v), and theneliminating B, ^.=2(2cosdA-iB)«sinflsin2(f-S)=s(cosflA-sinfl^-j n sin 0 sin i(<p — g) = 2D sin i(<p — 8) suppose. Integrating, observing that (p = nt + vr — ^/, and ty + G— a con-stant, we have — oj = S< - D cos i(<p — 8) V,m -M=iD2cos2(^-g2)H-D1cos(^-g1) 2 where we neglect the arbitrary, because we take account onlyof the terms containing < i = 2, ( cos 0 A — sin 6 —j- ) sin 9 = — siiv But. A sin 0 The Rev. Brice Bronwin on the Theory of the Tides. 265d -sin30 l = ua1 sin 0 cos 0. These results have been obtained by substituting the valuesof A from (8.); and it may be observed that all the functionsof (0) are discontinuous at the equator, and only hold from thepole to the equator. By suitably changing the arbitrages wemay now write, = D2cos2(^ —§2) + D1cos(f—^) D2=a2sin2 - tan 9 (3 +cos 0), Dl = a1 sin we make r (10-) - =p=l +£COS (z — 7r), where (a) is the mean distance, (e) the eccentricity, (2) the longitude, and (w) the long, of the apse of the planet; and if we also make -j-, oLi . -. A .,-, 3JLi . . hjc,— -—5 sur 0, E, = —s sin 0 cos 0,1 4gcr gas we have from (1.), retaining only the same terms as heretofore, «V — = E2p3 cos2 v cos 2<p + Ejp3
Size: 2116px × 1181px
Photo credit: © The Reading Room / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., bookdec, bookpublisherlondontaylorfrancisetc, booksubjectphysics
