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Joseph Louis de Lagrange - Œuvres, Tome 5.djvu/259
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[
5
,
1
]
λ
′
cos
(
φ
′
−
φ
V
)
λ
V
=
0
″
,
0155
m
′
[
5
,
1
]
λ
′
sin
(
φ
′
−
φ
V
)
=
−
0
″
,
0063
m
′
8,189
6538
,
7,799
1482
,
[
5
,
2
]
λ
″
cos
(
φ
″
−
φ
V
)
λ
V
=
−
0
″
,
0012
m
″
[
5
,
2
]
λ
″
sin
(
φ
″
−
φ
V
)
=
−
0
″
,
0011
m
″
7,066
2456
,
7,046
2344
,
[
5
,
3
]
λ
‴
cos
(
φ
‴
−
φ
V
)
λ
V
=
0
″
,
0305
m
‴
[
5
,
3
]
λ
‴
sin
(
φ
‴
−
φ
V
)
=
0
″
,
0029
m
‴
8,484
4670
,
7,466
4997
,
[
5
,
4
]
λ
IV
cos
(
φ
IV
−
φ
V
)
λ
V
=
0
″
,
0540
m
IV
[
5
,
4
]
λ
IV
sin
(
φ
IV
−
φ
V
)
=
0
″
,
0152
m
IV
8,732
2860
,
8,181
4757
,
(
0
,
1
)
θ
′
cos
(
ω
′
−
ω
)
θ
=
9
″
,
1610
m
′
(
0
,
1
)
θ
′
sin
(
ω
′
−
ω
)
=
−
0
″
,
0963
m
′
0,961
9444
,
8,983
4303
,
(
3
,
1
)
θ
′
cos
(
ω
′
−
ω
)
θ
=
3
″
,
6698
m
′
(
3
,
1
)
θ
′
sin
(
ω
′
−
ω
)
=
−
0
″
,
0374
m
′
0,551
4294
,
8,572
9153
,
(
0
,
2
)
θ
″
cos
(
ω
″
−
ω
)
θ
=
0
″
,
0002
m
″
(
0
,
2
)
θ
″
sin
(
ω
″
−
ω
)
=
−
0
″
,
0000
m
″
6,195
3068
,
5,141
4765
,
(
3
,
2
)
θ
″
cos
(
ω
″
−
ω
)
θ
=
0
″
,
1419
m
″
(
3
,
2
)
θ
″
sin
(
ω
″
−
ω
)
=
−
0
″
,
0125
m
″
9,151
9735
,
8,098
1432
,
(
0
,
4
)
θ
IV
cos
(
ω
IV
−
ω
)
θ
=
0
″
,
0007
m
IV
(
0
,
4
)
θ
IV
sin
(
ω
IV
−
ω
)
=
−
0
″
,
0000
m
IV
6,870
9313
,
5,490
5043
,
(
3
,
4
)
θ
IV
cos
(
ω
IV
−
ω
)
θ
=
8
″
,
0564
m
IV
(
3
,
4
)
θ
IV
sin
(
ω
IV
−
ω
)
=
−
0
″
,
2665
m
IV
0,906
1446
,
9,425
7176
,
(
0
,
5
)
θ
V
cos
(
ω
V
−
ω
)
θ
=
0
″
,
0000
m
V
(
0
,
5
)
θ
V
sin
(
ω
V
−
ω
)
=
−
0
″
,
0000
m
V
5,479
8117
,
4,480
3034
,
{\displaystyle {\begin{alignedat}{3}&&[5,1]{\frac {\lambda '\ \ \cos(\varphi '\ \ -\varphi ^{\scriptscriptstyle {\text{V}}})}{\lambda ^{\scriptscriptstyle {\text{V}}}}}=&0''{,}0155m'&[5,1]\lambda '\ \ \sin(\varphi '\ \ -\varphi ^{\scriptscriptstyle {\text{V}}})=&-0''{,}0063m'\\&&&\ \ 8{,}1896538,&&\quad \ \ \,7{,}7991482,\\&&[5,2]{\frac {\lambda ''\ \cos(\varphi ''\ -\varphi ^{\scriptscriptstyle {\text{V}}})}{\lambda ^{\scriptscriptstyle {\text{V}}}}}=&-0''{,}0012m''&[5,2]\lambda ''\ \sin(\varphi ''\ -\varphi ^{\scriptscriptstyle {\text{V}}})=&-0''{,}0011m''\\&&&\quad \ \ \,7{,}0662456,&&\quad \ \ \,7{,}0462344,\\&&[5,3]{\frac {\lambda '''\cos(\varphi '''-\varphi ^{\scriptscriptstyle {\text{V}}})}{\lambda ^{\scriptscriptstyle {\text{V}}}}}=&0''{,}0305m'''&[5,3]\lambda '''\sin(\varphi '''-\varphi ^{\scriptscriptstyle {\text{V}}})=&0''{,}0029m'''\\&&&\ \ 8{,}4844670,&&\ \ 7{,}4664997,\\&&[5,4]{\frac {\lambda ^{\scriptscriptstyle {\text{IV}}}\cos(\varphi ^{\scriptscriptstyle {\text{IV}}}-\varphi ^{\scriptscriptstyle {\text{V}}})}{\lambda ^{\scriptscriptstyle {\text{V}}}}}=&0''{,}0540m^{\scriptscriptstyle {\text{IV}}}&[5,4]\lambda ^{\scriptscriptstyle {\text{IV}}}\sin(\varphi ^{\scriptscriptstyle {\text{IV}}}-\varphi ^{\scriptscriptstyle {\text{V}}})=&0''{,}0152m^{\scriptscriptstyle {\text{IV}}}\\&&&\ \ 8{,}7322860,&&\ \ 8{,}1814757,\\&&(0,1){\frac {\theta '\ \ \cos(\omega '\ \ -\omega )}{\theta }}=&9''{,}1610m'&(0,1)\theta '\ \ \sin(\omega '\ \ -\omega )=&-0''{,}0963m'\\&&&\ \ 0{,}9619444,&&\quad \ \ \,8{,}9834303,\\&&(3,1){\frac {\theta '\ \ \cos(\omega '\ \ -\omega )}{\theta }}=&3''{,}6698m'&(3,1)\theta '\ \ \sin(\omega '\ \ -\omega )=&-0''{,}0374m'\\&&&\ \ 0{,}5514294,&&\quad \ \ \,8{,}5729153,\\&&(0,2){\frac {\theta ''\ \cos(\omega ''\ -\omega )}{\theta }}=&0''{,}0002m''&(0,2)\theta ''\ \sin(\omega ''\ -\omega )=&-0''{,}0000m''\\&&&\ \ 6{,}1953068,&&\quad \ \ \,5{,}1414765,\\&&(3,2){\frac {\theta ''\ \cos(\omega ''\ -\omega )}{\theta }}=&0''{,}1419m''&(3,2)\theta ''\ \sin(\omega ''\ -\omega )=&-0''{,}0125m''\\&&&\ \ 9{,}1519735,&&\quad \ \ \,8{,}0981432,\\&&(0,4){\frac {\theta ^{\scriptscriptstyle {\text{IV}}}\cos(\omega ^{\scriptscriptstyle {\text{IV}}}-\omega )}{\theta }}=&0''{,}0007m^{\scriptscriptstyle {\text{IV}}}&(0,4)\theta ^{\scriptscriptstyle {\text{IV}}}\sin(\omega ^{\scriptscriptstyle {\text{IV}}}-\omega )=&-0''{,}0000m^{\scriptscriptstyle {\text{IV}}}\\&&&\ \ 6{,}8709313,&&\quad \ \ \,5{,}4905043,\\&&(3,4){\frac {\theta ^{\scriptscriptstyle {\text{IV}}}\cos(\omega ^{\scriptscriptstyle {\text{IV}}}-\omega )}{\theta }}=&8'',0564m^{\scriptscriptstyle {\text{IV}}}&(3,4)\theta ^{\scriptscriptstyle {\text{IV}}}\sin(\omega ^{\scriptscriptstyle {\text{IV}}}-\omega )=&-0''{,}2665m^{\scriptscriptstyle {\text{IV}}}\\&&&\ \ 0{,}9061446,&&\quad \ \ \,9{,}4257176,\\&&(0,5){\frac {\theta ^{\scriptscriptstyle {\text{V}}}\ \cos(\omega ^{\scriptscriptstyle {\text{V}}}\ -\omega )}{\theta }}=&0''{,}0000m^{\scriptscriptstyle {\text{V}}}&(0,5)\theta ^{\scriptscriptstyle {\text{V}}}\ \sin(\omega ^{\scriptscriptstyle {\text{V}}}\ -\omega )=&-0''{,}0000m^{\scriptscriptstyle {\text{V}}}\\&&&\ \ 5{,}4798117,&&\quad \ \ \,4{,}4803034,\end{alignedat}}}