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Joseph Louis de Lagrange - Œuvres, Tome 6.djvu/600
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Maintenant on aura
log
cot
α
2
=
0,156
7915
,
log
(
F
)
=
2,668
0534
_
,
2,824
8449.
N
o
m
b
r
e
c
o
r
r
.
=
668
,
10.
log
tang
α
2
=
9,843
2085
,
log
F
=
2,505
5460
_
,
2,348
7545.
N
o
m
b
r
e
c
o
r
r
.
=
223
,
23
_
.
D
i
f
f
e
´
r
e
n
c
e
…
444
,
87.
{\displaystyle {\begin{alignedat}{2}\log \cot {\frac {\alpha }{2}}=&0{,}1567915,\\\log(\mathrm {F} )=&{\underline {2{,}6680534}},\\&2{,}8248449.&\qquad \mathrm {Nombre\ corr} .=&668{,}10.\\\log \operatorname {tang} {\frac {\alpha }{2}}=&9{,}8432085,\\\log \mathrm {F} =&{\underline {2{,}5055460}},\\&2{,}3487545.&\mathrm {Nombre\ corr} .=&{\underline {223{,}23}}.\\&&\mathrm {Diff{\acute {e}}rence} \ldots \ \ &444{,}87.\end{alignedat}}}
F
=
320
,
30
,
(
F
)
=
465
,
64
_
,
785
,
94
,
log
=
2,895
3894.
O
t
e
z
log
444
,
87
=
2,648
2331
_
,
0,247
1563
=
log
tang
a
;
{\displaystyle {\begin{alignedat}{2}\mathrm {F} =&320{,}30,\\(\mathrm {F} )=&{\underline {465{,}64}},\\&785{,}94,\qquad &\log =&2{,}8953894.\\\mathrm {Otez} \ \log \,&444{,}87&=&{\underline {2{,}6482331}},\\&&&0{,}2471563=\log \operatorname {tang} a\,;\end{alignedat}}}
donc
a
=
60
∘
30
′
.
{\displaystyle a=60^{\circ }30'.}
Ensuite on aura
log
s
e
´
c
α
2
=
0,085
9736
,
log
F
=
2,505
5460
_
,
2,591
5196.
D
o
u
b
l
e
…
…
5,183
0392.
N
o
m
b
r
e
c
o
r
r
.
=
152419.
log
c
o
s
e
´
c
α
2
=
0,242
7650
,
log
(
F
)
=
2,668
0534
_
,
2,910
8184.
D
o
u
b
l
e
…
…
5,821
6368.
N
o
m
b
r
e
c
o
r
r
.
=
663188
_
.
4
A
2
=
815607.
{\displaystyle {\begin{alignedat}{2}\log \operatorname {s{\acute {e}}c} {\frac {\alpha }{2}}=&0{,}0859736,\\\log \mathrm {F} =&{\underline {2{,}5055460}},\\&2{,}5915196.\\\mathrm {Double} \ldots \ldots \ \ &5{,}1830392.\qquad &\mathrm {Nombre\ corr} .=&152419.\\\log \operatorname {cos{\acute {e}}c} {\frac {\alpha }{2}}=&0{,}2427650,\\\log(\mathrm {F} )=&{\underline {2{,}6680534}},\\&2{,}9108184.\\\mathrm {Double} \ldots \ldots \ \ &5{,}8216368.&\mathrm {Nombre\ corr} .=&{\underline {663188}}.\\&&4\mathrm {A} ^{2}=&815607.\\\end{alignedat}}}
2
A
=
903
,
A
=
451.
{\displaystyle 2\mathrm {A} =903,\quad \mathrm {A} =451.}