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Joseph Louis de Lagrange - Œuvres, Tome 6.djvu/601
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On aura de même
log
cot
β
2
=
9,560
6727
,
log
(
G
)
=
2,577
9015
_
,
2,138
5742.
N
o
m
b
r
e
c
o
r
r
.
=
137
,
58.
log
tang
β
2
=
0,439
3273
,
log
G
=
2,579
4498
_
,
3,018
7771.
N
o
m
b
r
e
c
o
r
r
.
=
1044
,
18
_
.
D
i
f
f
e
´
r
e
n
c
e
…
−
906
,
60.
{\displaystyle {\begin{alignedat}{2}\log \cot {\frac {\beta }{2}}=&9{,}5606727,\\\log(\mathrm {G} )=&{\underline {2{,}5779015}},\\&2{,}1385742.&\qquad \mathrm {Nombre\ corr} .=&137{,}58.\\\log \operatorname {tang} {\frac {\beta }{2}}=&0{,}4393273,\\\log \mathrm {G} =&{\underline {2{,}5794498}},\\&3{,}0187771.&\mathrm {Nombre\ corr} .=&{\underline {1044{,}18}}.\\&&\mathrm {Diff{\acute {e}}rence} \ldots \ \ &-906{,}60.\end{alignedat}}}
G
=
379
,
70
,
(
G
)
=
378
,
36
_
,
758
,
06
,
log
=
2,879
7036.
O
t
e
z
log
906
,
60
=
2,957
4157
_
,
9,922
2879
=
log
(
−
tang
)
b
;
{\displaystyle {\begin{alignedat}{2}\mathrm {G} =&379{,}70,\\(\mathrm {G} )=&{\underline {378{,}36}},\\&758{,}06,\qquad &\log =&2{,}8797036.\\\mathrm {Otez} \ \log \,&906{,}60&=&{\underline {2{,}9574157}},\\&&&9{,}9222879=\log(-\operatorname {tang} )b\,;\end{alignedat}}}
donc
b
=
180
∘
−
39
∘
54
′
=
140
∘
6
′
;
{\displaystyle b=180^{\circ }-39^{\circ }54'=140^{\circ }6'\,;}
ensuite
log
s
e
´
c
β
2
=
0,466
2956
,
log
G
=
2,579
4498
_
,
3,045
7454
,
D
o
u
b
l
e
…
…
6,091
4908.
N
o
m
b
r
e
c
o
r
r
.
=
1234500.
log
c
o
s
e
´
c
β
2
=
0,026
9682
,
log
(
G
)
=
2,577
9015
_
,
2,604
8697.
D
o
u
b
l
e
…
…
5,209
7394.
N
o
m
b
r
e
c
o
r
r
.
=
162084
_
.
4
B
2
=
1396584.
{\displaystyle {\begin{alignedat}{2}\log \operatorname {s{\acute {e}}c} {\frac {\beta }{2}}=&0{,}4662956,\\\log \mathrm {G} =&{\underline {2{,}5794498}},\\&3{,}0457454,\\\mathrm {Double} \ldots \ldots \ \ &6{,}0914908.\qquad &\mathrm {Nombre\ corr} .=&1234500.\\\log \operatorname {cos{\acute {e}}c} {\frac {\beta }{2}}=&0{,}0269682,\\\log(\mathrm {G} )=&{\underline {2{,}5779015}},\\&2{,}6048697.\\\mathrm {Double} \ldots \ldots \ \ &5{,}2097394.&\mathrm {Nombre\ corr} .=&{\underline {162084}}.\\&&4\mathrm {B} ^{2}=&1396584.\\\end{alignedat}}}
2
B
=
1182
,
B
=
591.
{\displaystyle 2\mathrm {B} =1182,\quad \mathrm {B} =591.}