344 (8) 



Ji,. nEPEBOIUUKOBI.. 



dR 

 Tf 

 dR 



dt = — [b,f] db — [x,f] dx — [a,f] da -t- [f,l] dl -+- [f,g] dg, 



a . dt=- [b,l] db - [t,/] dT — [f,l] df— [a,/] da -+- [l,g] dg, 



f g dt=- [b,g] db - [T,g] dx - [f,g] df- [l t g] dl - [a,g] da. 



9th BbipaHienia saM'BHaTeJibHbi T'BMt, hto ecm cocTaBHMTb h3t> hhxx ncMHbiii 4H*<i>epeHnia.i , b 

 4>yHKuiu R, to oht> ô^erb paBeHx nyjio, t. e. bt> npo4o*iîKeHie MOMeHTa BpeMemi dt, opônra 

 Ka>K40H njiaHeTbi h ea ajieMeHTbi ocTawTca HeH3M'EHHbiMH ; nepeiyrsHM Bt hhxt> nponcxo4«T'b 

 TOJbKO no HCTeneflia Ka>K4.aro MmoBenia, — hto corjacHO ct> 40Ka3aHHbiM'b B'b «li. 3 nepBaro 

 OT^'fc.icHia. 



5. ikxT> Hîe BbipaHîeHiii Ha4o6Ho BbiBecra H3M'feneHia nocToaHHbix-b npoH3BOJb- 



HbixT> bt> ,HacTiibJx r b 4H<i><ï>epeHniajiax'b 4>yHKuiH B03MymeHiii, — 40 nero 40CTHraroT'b no- 

 cpe4CTB0MTj oôbiKHOBeHHbix'b npaBHJx HCKjnoneHia, no onpe4'fe^eHiH naTHa4naTH Koe«i><i>H- 

 nieuTOBb. TaKoe onpe4 f Lienie npo40jiîKHTe.ibHO n Tpe6yeTT> MHornx-b BcnoivioraTejibHbix'b 

 <i>opMy.ni : no bott> cnoco6i>, coKpamaiomin BbiHHC^eme h Tpeôyiomiii npaMaro onpe4'kieHia 

 To.ibKo 04Horo Koe*«i»HnieHTa, B'b KOToposn. KOMÔHHHpyeTCJi cpe4Hee pa3CTOHHie ii.iancTbi otti 

 co.iHna ct> 3KcnenTpHU,nTeTOMT> ea opôiiTbi, wm Koe*<ï>HnieHTT> [a,f]. 



Ec.in Hpe3T> x , y , z 03HaHHMT> KOop4nnaTbi KaKoiî nn6y4b tohkh bt. npocTpaHCTB'iî ot- 

 nocHTe.ibHO Tpexi. oceii npamoyro.ibHbixx, conepec'EKioinHxca .B'b nenrp'E co.mna, h h3t> koto- 

 pbixi. ocn œ'-wb h «/'-B'b .ieiKaT'b BT> n^iocKOCTH opÔHTbi, h ocb x'-wh npoxo40TT> MpcsT» nepn- 

 reviiii; Hpe3T> x, y, z — Koop4HHaTbi Toik vue tohkh OTHocuTevibHO TaKHXT> îKe Tpexi> oceii, 



113^ KOTOpblXT. OCH X-B'b H «/-B'b AG/KàTb BT> npOH3BOJbHOH n.IOCKOCTH; HpeST. (3 H3o6pa3HM r b 



ynxn>, cocTaB„iHeMbin jHiuieK) j^ioB-b ct> ocbio a;'-B'b; HaKOHeu'b ecin npe4no^05KHM , b , hto 

 ynoMHHyTaa TOHKa Haxo4HTca Ha n^iocKOCTH opônrbi; to BbiBe4eM-b ypaBHema 



x = x' (cos (3 cos N — sin Ns\n (3 cos /) — y (cos iVsin (3 -+- sin iV cos (3 cos /) 

 = Ax -f- By , 



y = x (cos p sin N -+- cos N sin ^ cos /) -h y (cos (3 cos NcosI — sîh (3 sin N) 



= â'x -+- By , 

 z = x sin (3 sin I-t- y cos j3 sin / 



— A x -+- B y , 



BT. KOTOpblX-b 0p4HUaTbI x\y SaBHCflT-b TOJbKO OTT> HOCTOaHHWX'b 0, f B t, nOTOMy HTO 



x = a (cos m — f), y = a sin m V (1 — f 2 ), 

 n K0^iH4ecTB0 t edb npoH3BOJbHoe nocroaHHoe bt> ypaBneHin 



nt —t— t = u — /"sin u. 



Bm-ÉCTB Cb T-BM-b BH4H0 , 1T0 0p4HH3Tbl X, y, Z MOryTl 6bITb BbipaîKaeMbI B'b *yHKH,iflX'b 



CHHycoBT» h KOCHHycoBTb yrjia lit -+- T. 

 BcnoMHHM'b eme, hto «topMyjibi 



2 2 '2 ni 



q = c -+- c +c, 

 c = q cos /, c = — q cos N sin /, c" = q sin N sin / 



