B-BKOBblfl B03MyiHEHia CEMH EOJbmHXT. nJAHETT>. 



Cl) 503 



TaKh 1T0 BblH^CTI 







dR 



(dtf 





dx 



d}y 





dR 





^ r3 ^ 



dy 



d'^z 





dR 



Jdtf ~^ 



K-^' -f- 



dz 



= 0, 

 = 0, 

 = 0. 



.{A). 



2. Hax ypaBHeHiîi {A) BWBo^HMt 



xd^y — yd^x 



xd^z — zd^x 



{dtf 

 yd^z — zd^y 

 {dtf 



dR 





dR 



de 



dx 



y 



dy 



dî' 



dR 





dR 



de' 





z 







dx 





dz 





dR 





dR 



de" 



dy ^ dz y 



dt 



H no BHTerpHpoBaHiH, nojyHHMi. 



xdy — ydx 



xdz — zdx 



' ydz — idy 



— C , 



==c"...(l). 



dt dt ^ dt 



EcjiH nepBoe mat arux-B ypasHCHm noMHOSKUM'B na z, Bxopoe 

 Ha a;; to cywMa npoHSBe^eHiii 



cz — c'y -+- ex =: 0 .... (2) 



Ha — y, H TpcTbe — 



noKaHceTt, hto njancTa m o6pamaeTca Bt djiockocth, npoxo^flmeH Hpe3T> co.iHue M, h koto- 

 poîi DOJioHieHbe onpe^'kiaeTCfl KOJiHMecTBaMH c, c , c". Ecjih 3TH KOJiHiecTBa cyib nocTOHHHbifl, 

 STO 6biBaeTT> btj tomt» c^iy^ai, Kor^a m ne no4.ïeHiHTT> 4'ïîncTBiK) n.iaeeTx m', m , h np.; to 

 ynoMflHyTafl d^iockoctb HM'feeT'B onpe/i'fe-^eHHoe h nocTOAHHoe nojroJKeHie; ho npH 4'feHCTBia 

 m , m , H np. u3Mi>HeHie ea ncjoîKeHm 3aBHCHTT> ott> de, de, de". TaKoe nsM^fencHie naabi- 

 BaeTCfl eosMyiUfemeM'ô. BnpoieMt , bt. npo^oJiîKeHie a^eMenia BpeMeHH dt, Kor/ia Koop4HHaTbi 

 X, y, z noj[yqaiOTT> npHpamenia dx, dy, dz, Moatno ciHTaTb c, c, c" nocTOflHHMMH. ^'feiîcTBH- 

 TCJbHO, ypaBHCHifl (1), noMHOîKeHHbiji cooTB'ÊTCTBeuHO Ha dz, — dy M dx, 4aiOT'b bx cyMiwfe 

 npon3Be4eHi0 



cdz — cdy -+- c 'dx == 0 , 



H TOHîe caiHoe no.iyHHMx, 4H«ï>«ï>epeHitHpyn ypaB. (2) bt> npe4no.^iOHteHiH c, c , c" nocTOflHHbiMii. 

 3- EcAU HSt ypaBneniii [A) BbiBe4eM'i> eme 4Ba ypaBnenia : 



xd'^x-t-yd^y-t-zd'^z 



dxd^x-i-dyd'^y-t-dzd^z 

 (dtf 



dR 



dx ' 

 dR 

 dx 



y 



dx ■ 



dR 



dy 

 dR 

 dy 



dR 



dy 



dR 



dz = 0.. .{4), 



H BTopoe H3X HHXTb noMHOHtHMT. Ha X, nepBoe ïKe ■ 



cd^y-^e' d'^z 



Jt 



IdR 



Ha dx; TO pasHocTb npon3Be4eHiH 6y4eT'L 



dR 



dz 



dt=0; 



