103 
Bulletin  physico  - mathématique 
104 
H HaiÜOMT) 
N2=(g*-+-g'2)t*-t-2(gk-g'ky, 
a 
N=(gt-*-g'2)2.  *-*-  gk-Jk\t* 
(g2-*-g'2)2 
= 0^5275285/  — 0^0000040578 12. 
4jh  BbipaaîeHifl  Bojiinutibi  L Tanate  pa40irb,  cnepsa  BbiBO- 
ÆHM'b 
, q r g-+-kt 
‘an  sL0=y>  tang  L = 
a noTOMi  nojaraeMt  L = L0-+-x,  onpeA’fejfleMi 
, j2  kg'-t-gk'  gk—g'k'  . 
x = ml  — mnt  , m — ^ , n = „ ? 
g2-t-g'2  ’ g2-*-g'‘ 
Tan'b  hto 
L = L0-+-  ml —mnt2=  L0-+-  8 , 4 33  3 3 f -t-  0 ,00006  4869  <2 . 
064  <&opMyjbi,  KaK’b  Bbiiue  saarfeneHO,  He  Moryrh  6biTb  yno- 
TpeßjaeMbi  4Jfl  öoJbinaro  nucja  4liTT>;  iißo  Kor4a  f:=1000, 
Tor4a 
L=l\°n'  9''l7  bmIjcto  11°22'  3"5. 
N=  0°  8'43>7  BM-tcTo  0°  8'54?22. 
4.  KojHHecTBa  L a N Heo6xo4invibi  44a  nepeiuiHbi  inn- 
pOTb  H 40JrOTT>  BCflKOH  3Bt34bI,  OTHOCaiHHXCa  Kl  1750  I\, 
na  uiapoTbi  h 40.iroTbi  44a  1750-+-t  r IlycTb  P a P (nep. 
3)  6y4yTi>  noaiocbi  3K4hhthkii  1750  r.  h 8K4hhthkh  1750 
H-f,  h PSM,  P SM  — Kpym  uinpoTi,  3Bfe34bi  S ■ bt.  Tp-nl; 
PP  S CTopona  PP  = yr.  N,  PS  = 90° — A,  P S = 90° — X', 
yro4i.  SPP'  = NPP'—  NPS  = 90°-  NM=  90°—  (l-i-L)  , 
yr.  PP  'S  = 90°-t-  NP  S — 90°-t-(t/-t-Z/).  34l>Cb  X a l 
03HaHai0TT)  inapoTy  h 404roTy  b"b  1750  r.,  X ul  — hih- 
poTy  h 404roTy  bi,  1750-t-f,  h L=NF  =L  — ip  . II31. 
3TOrO  Tp  — Ka  BbIB04HMT> 
cosX'cos(l’-i-L')  = cos X cos  (l-i-L) (1) 
sinA^^  cos iVsin  An— siniVcos  Asin  (l-i—L) 
tang(l'-b-L')  = cos  iVtang  (l-i-L)  ■ 
sin  A = cos  Ns  in  x' — sin  iVcos  A 
tang(i-t-L)  = cosiVtang^-t-Z/) 
sin  iVtang/l 
cos  ( l-i-L ) 
sin  A = cos  iVsin  X' — sin  iVcos  X' s\n(l' -i-L')  . . , 
sin  N tang/2/ 
cos  (l'-t-L')  ’ 
(3) 
»ly-iaim,  (B).  üo  ypaBHeniio  (1)  noßfepaioTca  naiueHHbia  se- 
4HHHHbi.  Ho  Kor4a  4aimaa  uinpoTa  A He  BecbMa  6jn3Ka  ki 
90°,  11  Kor4a  t He  npeBbiinaen,  cmiluia,  Tor4a  He3HaHH- 
Te4bHaa  BeanniiHa  yraa  N no3B04aen,  BbipaatiTb  X'  u l'  pa- 
4aMH,  co4ep>KamnMH  nepßyio  11  BTopyio  CTeneHH  N.  Hpe 
3Tnxt  ycaoßiaxx  mohcho  HpimaTb,  hto 
sinA^  sinA  — 2sin2|iVsinAH-2sin  | iVcos  |iVcosAsin  ( l-i-L ) 
= sinA-*-iVcosA[sin  (/-+-£,)  — | A^tangA]  . 
Oïci04a 
2sin|(A  — A)cos  A^-i-A)  = iVcos  A [sin  ( iiVtangA]  , 
H eC4H  H040iKHMTi , HTO  He3HaMHTe4bHaa  pa3HOCTb  x' — A X, 
HJH  A=A-H#,  TO  H04yHHMTi 
2sin  i^cos  (Ah-|#)  = arcosA  — i^2sinA 
= iVcos  A [sin  {l-t-L) — iiVtang  AJ , 
H4H 
x = N\s\n{l-t-L)  — |iVtangA] |a;2tangA , 
H4II 
x = Nsin(l-t-L)  — ~iV2tangAcos2(/-t-L). 
H TaKx 
A — A-f-iVsin  [1-+-L)  — |iV2  tangAcos2(/-+-I,) . . . (4) 
44a  Bbipaaîenia  Be4HHHHbi  l , oöpamaeMca  ko  BxopoMy  ypaß- 
Heniio  113t  (2),  KOTopoe  48611 
tang(r-t-L') 
=tang((H-I)  - 2 tang  {M)  sin=  IN- 
ö 1 2 cos  (l-t-L) 
Q sin  TV 
=tang(i-i-I)  — ^-^[sin|iVsin(l-+-I)-i-cos|iVtangA] 
—lang (/-+-£,)  - [|iVsin  (/-+-£) -Mang A]  . 
Ho  KaKt 
r'  r ' 
L — L — ijj  , 
TO 
tang(£f — l—  -ip ') 
— ‘ang[(i-i-i./)  — {l-i-L)] 
tang  ( l'-t-L ')  — tang  (l-i-L) 
1-+-  tang  (l'-i-L')  tang  (l-i-L) 
BcTOBHBb  Ci04a  Beaii'jiiHy  tang(Z  H-L  ),  no  coKpanteHiii  u no 
MaaocTii  4yrn  / — l — ip  , Haiuesn. 
p i , iV[|iVsin(ZH-£)-i-tang/?]cos(t-i-Z,) 
_ ‘ _ T— -ÏVsin  (l-i-L)  [i iVsin (l+L)  -+-  tang  Â]  ’ 
H3T>  nero  HeTpy4H0  BbißecTn,  <îto 
Hocpe4CTBOMT>  ypaB.  (2)  Bbinnc4ai0Tca  uinpoTa  n 404roTa  44a 
1750-t-<  no  4aHHbiMT>  uinpoTi  h 404roTi  1750  r.  ; nocpe4- 
ctbomt.  »e  ypaBHeiiiii  (3)  paapiuiaeTca  3a4ana  oSpaTiiaa. 
9th  <i>opMy4bi  cyTb  CTporia  44a  Bcai;aro  BpeMemi  t,  ec4n 
L,  L u N 6y4yTi.  onpe4"fc4eHbi  TaK^e  no  CTpomMt  *op- 
l'=  l-t-ip  — Neos  (l-i-L)  tangA 
— iV2sin(/-+-L)cos(^-f-I)(iH-tang2A) . . . (5) 
HocTyniiBi.  TaKHMx  ate  oöpa30srb  ci.  ypaBiiemaMn  (3),  co- 
CTaBHSI'b 
