B-BKOBblJl BOaMyiHEHlfl CEMU EO.lbmUXT» njAUETt. 



(11) 507 



4to6t. nepeH4TH oTcio4a kx SX, hsx langX = ^^^^ Haxo^HMi. 



cosXSz 



SX = 



r 



CJl-iiA. 



ycosX i>/dR _ x\dt occosX fi'^^ " \dt 



r CQS iV \t.a{l— fi) J X^''^ rf2 / rcos/?(xa(i— 7'2) Arf2/ ^ dz ^/ 



y- \ y — -:,-x]dt /// . 



7. Ec«iH nojO/KnwT>, iTO npon3BOJbHafl n^ocKocTb op4HiiaTT> xy ecTb caiviaa n.îocKocTb 

 BosMymaeMOÎi opÔHXbi, ua KOTopoii sa ocb x — bt> npiiMCMb Jiiiiiilo a6cn40H'B h re.iioueHTpuse- 

 CKia 40JiroTbi H3o6pa3HMT> Hpe3T> /, / , H np ; To Bbiu4eTi> 



z = 0, X = 0, / = 0. 8w = S/, 

 j:; = r cos l, y = r sin /, x = r cos X cos «/' ~ r' cos X' sio z' = r sin X', 

 p' = y [/^ -t- — 2r/ cosX' cos (/' — /)] , 



r, ' / xx'-t-yy' i\ r trCOs\'cos{l' — l) r rn 2 Ci ' ^' / 1' i i — 4) 



^ = w — -H . . . = m { ' — [r^-i-r^—9rr cosXcos(/— . . 



rcosX'cos(/' — Z) r/cosX' cos{l'—l) — 



Hai. 3TOrO Bil4H0, HTO 



y [r'^H-r'^— 2rr'cosX'cos(/'— /)J3 



IIoTOMT) ypaBHenia (//) h (///) nepeM^buATca ea 



sini ^ jdB . cosZ . ,dR . , ,r. 



SX= frcosl—di-i- , := /rsin l—dl. . . . F . 



y (xa(l — d: y[j^a(l_^2)-^ dz ^ ' 



8. TaKOBbi cyTb oôinia BbipaîKeHia H3ivi'feHeHiH pa4iyca — BCKTopa (/), 40jroTi>i n uih- 

 poTbi B03MymaeMon njaueTbi. Tenepb cji'fe4yeT'i> npoHSBccTH C04epîKamiflca bt> hhxt> uHTe- 

 rpHpoBanifl, 4afl nero Ha4o6HO pa3J0îKHTb <i>yHKii.iio R. 9to pasjLO/Keuie, cooTBiîTCTBCHHo 

 Hameiî uïîjih, orpaHnqnBaei>n> nepBbiMH CTcneuaniH 3i;cuyHTpHU.HTeT0BT> h naKJoueHiiî. Ilpn- 

 qeMTi, 4.ifl KpaTKOCTH, npe4nojioîKHM'i., hto B03Myiueiiie npoH3B04HTca 4tHCTBieivn. 04H0Q njia- 

 HeTbi m , KOTopon 40JiroTbi CHHTaioTCfl aa djockocth opôuTw m, h qpeax L' uaoôpaaîaw'acfl 

 ea 40JroTbi na d^iockocth coôcTBeHHoiï ea opôiiTW. IIpu TaKHXt □pe4nojoa;eHiaxT>, ôy4eTT. 

 («06x BjiAam. 4BHHîeHi0» cTp. 365). 



cosX'cos(/' — /) = cos (L — /), 

 R = m' [''''%~'^ — [r' -4- - 2rr' cos [L' - Z)]"^ } = ^S. 

 Ecjmôbi DJiaHeTbi m q m oopamawiiicb paBHowlspno no KpyraMx pa4iycoBi» a h a'; xo 40JiroTbi 



