105 
de  l’Académie  de  Saint-Pôtersbonr^ 
106 
X = X'~  Nsin(l'-t-L')  — £iV2  tang^cos2  (/'n-Z/) 
l==l'—  ip' -i-NtangX' cos  (ï -a- L,')  (6) 
— N2  sin  ( l'-+-Lr ) cos  1')  (i-+-  tang2^).  ' 
5«  Teneps  CA^AOBajo  6 w noKa3aTb,  namiMb  oôpa30Mb 
nOJOHteHifl  3Blï3AbI  OTHOCHTeAbHO  9KJHIITHKH  nepeHOCBTCfl 
OTb  1750-1-^  KT»  1750-M,;  ho  3Ta  3aAana  non™  6e3uo- 
je3Ha  aah  npaKTHKn,  h noToniy  ocTOBjian  ee,  nepexoAHMb 
Kb  noJHOMy  H3JoaîeHÎio  onpeAkieHia  npaMhiXb-BOCXO/KAemn 
H CKJOHemH  COOTB'IiTCTBCHHO  pa3HbIMb  3nOXaMb.  IlyCTb  P 
h P'  (nep.  4)  6y4yTb  noAiocbi  anBaTopoßb  VQ  a F F'  q', 
OTHOcamHXca  in>  1750  r.  h 1750-«-/,  h npoAOAHceHHbixb  40 
Hxx  B3anMHaro  nepecfcqeHia  Bb  Q ' noAb  yrAOMb  f'Q’  y'—q. 
Tor4a  H3b  Tp Ka  Q FF  , Bb  KOTOpOM'b  CTOpOHbl  cyTb 
yyJ=\jj,  Q'y—fi,  Q F = /i,  H yrAbi  cyTb  q , aQ  u 
180° — w,  no  aHa-ioriflMi.  Henepa  HanAeub 
tangi^H-^') 
,ang  kit1 — P) 
sin  1 (cj-4-o>0) 
sin  l(o  — tj0) 
tangi^, 
COS  i(o-HO0) 
cos|(o— O0) 
•an  gïy. 
Ho  KaKT.  BT>  nepBOM  H3b  3T0Xb  «ROpMyAb  3HaMeHaTeAb  Becb- 
na  siaab.  to  aja  yAOÔHOCTH  BbiMucAema,  oojoîkhmx 
^ = 90°-« -M,  / = 90°— ti'; 
orb  3Toro  Bbnuetb 
tang-‘(M — u' 
sin  i(o0— o) 
tang  * («-+-«')  : 
tangly: 
sin  i(o0-+-o)tang:  '2f 
cosi(o-»-o0) 
cos|(o—  o0) 
sin  1 (u-t-u) 
tangly,  • 
cos  Uu—u) 
7.tangi(«-t-w0) 
(7) 
Teuepb  oôpamaeMca  Kb  Tp  — Ky  P PS,  Bb  KOTopoMb  PS 
= 90o— Ô,  PS= 90— ô',  PP'=q,  yr.  Si>/>'=90°— (a+fi), 
PP'S  = $ 0°H-(cc'  -t-fi-t-g),  H noTOMy  noAyquMb 
cos  ô'cos  (</-«- //-f -£)  = cosôcos(a-t-^), 
(8) 
sin  5'  = sinycosösin^-t-^-j-cos  y sin  5 , . . . . 
,r.  r sinytangS 
tang  (a  -t-fi  -t-|)  = cosy  tang(cc-4-iu)  — * 
sin5  = — sinycosô'sin(</-«-//,-«-£)-»-cosysin5 ' 
-fi)=  cosytang(a/-+-Ju/- 
-ÉH 
sinylang/F 
cos(a/-i-(a'-+-|) 
Ilocpe4CTBOMb  4>opMyjb  (9)  onpe4'fejfliOTca  cKAOHenie  d'  h 
npflMoe-BOCxo>K4eHie  a aah  1750-t-/  no  4aHHbJMb  ckjohc- 
nixo  d h npaMOMy-BOCXOîiueHHO  a 4Jfl  1750  r.;  «ï>opMyjhi 
ate  (10)  pa3pIîuiaroTb  oôpaTnyio  3a4any.  YpaBHenie  (8)  cjy- 
2KHTb  aah  noBipitn  Toro  h Apyraro  piineHia  — Ecah  Bpe- 
mh  l He  npeBbimaeTb  CTOjiTia,  to  bmTcto  CTpomxb  «i>op- 
Myjb  (9)  MOJKHO  ynoTpeßjaTb  npn5.uiii«ennbia , KOTopbia  co- 
CTaBAaiorca  no  cnocoôy,  npeAJoaceHHOMy  Bb  ha.  (4),  n ko- 
Topbia  cyTb  •• 
ö — 5-4-ysin(a-i-^)  — ly2tang  ôcos2(a-t-1«) (11) 
a = ( a-t-fi — fi — I)  — ycos(a-t-^)  tangô 
— y2sin(a-t-^)cos(an-/i)(l-i-tang2ô).  . (12) 
6.  KorAa  4Ja  onpcAlueHia  cKjoHeHin  h npaaibixb-BOC- 
xoîKAenin,  aojjkho  nepeÜTn  orb  1750-t-tj  Rb  1750-f-<2> 
Tor4a  npoAOJJKHBb  SKBaTopw  1750 -4-^  n 1750-t-/2  (nep. 
5)  40.  B3an.Mnaro  nxb  nepectneHia  Bb  Q''  no4b  yrxoMb 
V\ Q rt=q,  npHHaBb  JT  n il  3a  cooTBliTCTByiomie  HMb 
noAiocbi,  n noJoatHBb  Q " y' x = fi1,  Q’"  y '2,=  /«2,  HanAeMb 
008  5^05(^-4-^-«-^,)  = cos52cos(a2-t-|2-t-^2)  , ....  (13) 
sin52=sinycos51sin(a,-+-la1-»-£1)-i-cosysin51  , ....  (14) 
tang(a2-*-,«2-+-y= cosy  tang(cc,  +fir 5) 
H 
sin  5,  = cos  y sin  52 — siny  cos  ô2sin  (aa-i-/U2-»-i2) , ....  (16) 
03b  3THXb  CTpornxb  «bopjiyAb , (14)  h (15)  BbipaataiOTb  uepe- 
HOCb  KOOpAHHaTb  5,  H ß,,  COOTBlîTCTByiOmHXb  1750—1—/, , 
Kb  KOOpAHHaTaïUb  d2  H <x2,  COOTBliTCTByiOn^HMb  1750— t-  /2  : 
4>opMyjbi  aie  (16), h (17)  pasptmaiOTb  3a4any  oôpaTHyio.  Ho 
npHHHMaa  l2  He  Goate  CToalîTia,  «bopsiyjbi  (14)  n (15)  no- 
3B0JHTejbH0  nepeMliHHTb  Ha  c.ili4yK)m;ia  npn6.iH>Keinibia  : 
52=  5,-+-ysin(a1-t-Ju1-+-i1)  — |y2tang5icos2(a,-t-ia1H-^,) , (18) 
a2=  {al+Ç1-~£2-*-[il—[*2)—qcos(al-i-fil-+-Çl)tangdi 
— y2cos(a,-i-Ia1-«-|1)sin(al-i-^1-j-|1)(i-+-tang251).(19) 
HoTOMb  H3b  Tp — Ka 
Y\Q'y\ 
BhlBOAHMb 
. , , sin  l(o>2  q,) 
angs(M2  Mi)  sinl(<J2-+-oj1)tang(l(V'2— V*i)  ’ 
lang  !(»,+»,)  = C04(4_„l)lanei(fe-V’,) . 
, sin  1(m2-+-z€.),  , 
tansj«=c-sT(«i=ir)langäKH_‘,‘) 
r4'fe  ^,  = 90°-«-«,,  fi2  = 90° — «2,  yJi—fv=Y,1  y'2.  On, 
3THXb  ycjoßin,  BbiiiACTb 
ce , — i— ict1  — i— § , — a1H-90°-+-M1-i-|1 , 
sin(a1-+-/«1-+-|l)  = cos(a1H-M1H-i1)  = cosU, 
coa(a,-i-(ft1-»-|i)  = — sin(a,-f-Ml-i-ê1)  = — sin  U, 
