Accueil
Au hasard
Se connecter
Configuration
Faire un don
À propos de Wikisource
Avertissements
Rechercher
Page
:
Joseph Louis de Lagrange - Œuvres, Tome 5.djvu/260
Langue
Suivre
Modifier
Le texte de cette page a été
corrigé
et est conforme au fac-similé.
(
3
,
5
)
θ
V
cos
(
ω
V
−
ω
)
θ
=
0
″
,
1095
m
V
(
3
,
5
)
θ
V
sin
(
ω
V
−
ω
)
=
−
0
″
,
0110
m
IV
9,039
4058
,
8,039
8975
,
(
1
,
0
)
θ
cos
(
ω
−
ω
′
)
θ
′
=
14
″
,
1988
m
(
1
,
0
)
θ
sin
(
ω
−
ω
′
)
=
0
″
,
0786
m
1,152
2504
,
8,895
5056
,
(
3
,
0
)
θ
cos
(
ω
−
ω
′
)
θ
′
=
0
″
,
6278
m
(
3
,
0
)
θ
sin
(
ω
−
ω
′
)
=
0
″
,
0035
m
9,797
8446
,
7,541
0998
,
(
1
,
2
)
θ
″
cos
(
ω
″
−
ω
′
)
θ
′
=
0
″
,
0041
m
″
(
1
,
2
)
θ
″
sin
(
ω
″
−
ω
′
)
=
−
0
″
,
0001
m
″
7,607
5987
,
6,048
5690
,
(
3
,
2
)
θ
″
cos
(
ω
″
−
ω
′
)
θ
′
=
0
″
,
3890
m
″
(
3
,
2
)
θ
″
sin
(
ω
″
−
ω
′
)
=
−
0
″
,
0107
m
″
9,589
9807
,
8,030
9510
,
(
1
,
4
)
θ
IV
cos
(
ω
IV
−
ω
′
)
θ
′
=
0
″
,
0139
m
IV
(
1
,
4
)
θ
IV
sin
(
ω
IV
−
ω
′
)
=
−
0
″
,
0001
m
IV
8,142
8374
,
6,145
6689
,
(
3
,
4
)
θ
IV
cos
(
ω
IV
−
ω
′
)
θ
′
=
17
″
,
5695
m
IV
(
3
,
4
)
θ
IV
sin
(
ω
IV
−
ω
′
)
=
−
0
″
,
1768
m
IV
1,244
7594
,
9,247
5909
,
(
1
,
5
)
θ
V
cos
(
ω
V
−
ω
′
)
θ
′
=
0
″
,
0007
m
V
(
1
,
5
)
θ
V
sin
(
ω
V
−
ω
′
)
=
−
0
″
,
0000
m
V
6,861
5101
,
5,345
1210
,
(
3
,
5
)
θ
V
cos
(
ω
V
−
ω
′
)
θ
′
=
0
″
,
3133
m
V
(
3
,
5
)
θ
V
sin
(
ω
V
−
ω
′
)
=
−
0
″
,
0095
m
V
9,495
9337
,
7,979
5446
,
(
2
,
0
)
θ
cos
(
ω
−
ω
″
)
θ
″
=
0
″
,
3949
m
(
2
,
0
)
θ
sin
(
ω
−
ω
″
)
=
0
″
,
0258
m
9,596
5044
,
8,411
2978
,
(
3
,
0
)
θ
cos
(
ω
−
ω
″
)
θ
″
=
0
″
,
2042
m
(
3
,
0
)
θ
sin
(
ω
−
ω
″
)
=
0
″
,
0133
m
9,310
0453
,
8,124
8387
,
{\displaystyle {\begin{alignedat}{2}(3,5){\frac {\theta ^{\scriptscriptstyle {\text{V}}}\ \cos(\omega ^{\scriptscriptstyle {\text{V}}}\ -\omega \ )}{\theta }}=&0''{,}1095m^{\scriptscriptstyle {\text{V}}}&(3,5)\theta ^{\scriptscriptstyle {\text{V}}}\ \sin(\omega ^{\scriptscriptstyle {\text{V}}}\ -\omega \ )=&-0''{,}0110m^{\scriptscriptstyle {\text{IV}}}\\&\ \ 9{,}0394058,&&\quad \ \ \,8{,}0398975,\\(1,0){\frac {\theta \ \ \ \cos(\omega \ \ \ -\omega ')}{\theta '}}=&14''{,}1988m&(1,0)\theta \ \ \ \sin(\omega \ \ \ -\omega ')=&0''{,}0786m\\&\quad 1{,}1522504,&&\ \ 8{,}8955056,\\(3,0){\frac {\theta \ \ \ \cos(\omega \ \ \ -\omega ')}{\theta '}}=&0''{,}6278m&(3,0)\theta \ \ \ \sin(\omega \ \ \ -\omega ')=&0''{,}0035m\\&\ \ 9{,}7978446,&&\ \ 7{,}5410998,\\(1,2){\frac {\theta ''\ \cos(\omega ''\ -\omega ')}{\theta '}}=&0''{,}0041m''&(1,2)\theta ''\ \sin(\omega ''\ -\omega ')=&-0''{,}0001m''\\&\ \ 7{,}6075987,&&\quad \ \ \,6{,}0485690,\\(3,2){\frac {\theta ''\ \cos(\omega ''\ -\omega ')}{\theta '}}=&0''{,}3890m''&(3,2)\theta ''\ \sin(\omega ''\ -\omega ')=&-0''{,}0107m''\\&\ \ 9{,}5899807,&&\quad \ \ \,8{,}0309510,\\(1,4){\frac {\theta ^{\scriptscriptstyle {\text{IV}}}\cos(\omega ^{\scriptscriptstyle {\text{IV}}}-\omega ')}{\theta '}}=&0''{,}0139m^{\scriptscriptstyle {\text{IV}}}&(1,4)\theta ^{\scriptscriptstyle {\text{IV}}}\sin(\omega ^{\scriptscriptstyle {\text{IV}}}-\omega ')=&-0''{,}0001m^{\scriptscriptstyle {\text{IV}}}\\&\ \ 8{,}1428374,&&\quad \ \ \,6{,}1456689,\\(3,4){\frac {\theta ^{\scriptscriptstyle {\text{IV}}}\cos(\omega ^{\scriptscriptstyle {\text{IV}}}-\omega ')}{\theta '}}=&17''{,}5695m^{\scriptscriptstyle {\text{IV}}}&(3,4)\theta ^{\scriptscriptstyle {\text{IV}}}\sin(\omega ^{\scriptscriptstyle {\text{IV}}}-\omega ')=&-0''{,}1768m^{\scriptscriptstyle {\text{IV}}}\\&\quad 1{,}2447594,&&\quad \ \ \,9{,}2475909,\\(1,5){\frac {\theta ^{\scriptscriptstyle {\text{V}}}\cos(\omega ^{\scriptscriptstyle {\text{V}}}\ -\omega ')}{\theta '}}=&0''{,}0007m^{\scriptscriptstyle {\text{V}}}\ &(1,5)\theta ^{\scriptscriptstyle {\text{V}}}\sin(\omega ^{\scriptscriptstyle {\text{V}}}\ -\omega ')=&-0''{,}0000m^{\scriptscriptstyle {\text{V}}}\\&\ \ 6{,}8615101,&&\quad \ \ \,5{,}3451210,\\(3,5){\frac {\theta ^{\scriptscriptstyle {\text{V}}}\cos(\omega ^{\scriptscriptstyle {\text{V}}}-\omega ')}{\theta '}}=&0''{,}3133m^{\scriptscriptstyle {\text{V}}}&(3,5)\theta ^{\scriptscriptstyle {\text{V}}}\sin(\omega ^{\scriptscriptstyle {\text{V}}}\ -\omega ')=&-0''{,}0095m^{\scriptscriptstyle {\text{V}}}\\&\ \ 9{,}4959337,&&\quad \ \ \,7{,}9795446,\\(2,0){\frac {\theta \ \cos(\omega \ \ -\omega '')}{\theta ''}}=&0''{,}3949m&(2,0)\theta \ \sin(\omega \ \ -\omega '')=&0''{,}0258m\\&\ \ 9{,}5965044,&&\ \ 8{,}4112978,\\(3,0){\frac {\theta \ \cos(\omega \ \ -\omega '')}{\theta ''}}=&0''{,}2042m&(3,0)\theta \ \sin(\omega \ \ -\omega '')=&0''{,}0133m\\&\ \ 9{,}3100453,&&\ \ 8{,}1248387,\end{alignedat}}}