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Joseph Louis de Lagrange - Œuvres, Tome 5.djvu/257
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[
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λ
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0000
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[
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λ
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4,676
9535
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2,885
5182
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[
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λ
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1351
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0,055
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9,449
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λ
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5,980
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[
1
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3
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λ
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λ
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5,379
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5,553
1194
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[
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λ
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φ
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λ
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5,827
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4,804
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[
1
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λ
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cos
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1
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5,607
9875
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4,587
0718
,
[
2
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λ
cos
(
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−
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λ
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0374
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[
2
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]
λ
sin
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=
0
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0065
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8,572
6301
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7,815
4290
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[
2
,
1
]
λ
′
cos
(
φ
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φ
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λ
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2
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1033
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[
2
,
1
]
λ
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sin
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φ
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1584
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0,322
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9,199
8725
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[
2
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3
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λ
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2
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3
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λ
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9,172
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8,261
3147
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[
2
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4
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λ
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cos
(
φ
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−
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=
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0267
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[
2
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4
]
λ
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sin
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0011
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8,426
0488
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7,043
7282
,
[
2
,
5
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λ
V
cos
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φ
V
−
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λ
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=
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0026
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[
2
,
5
]
λ
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φ
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0
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7,418
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7,053
5119
,
{\displaystyle {\begin{alignedat}{3}&&[0,5]{\frac {\lambda ^{\scriptscriptstyle {\text{V}}}\ \cos(\varphi ^{\scriptscriptstyle {\text{V}}}\ -\varphi )}{\lambda }}=&0''{,}0000m^{\scriptscriptstyle {\text{V}}}&[0,5]\lambda ^{\scriptscriptstyle {\text{V}}}\ \sin(\varphi ^{\scriptscriptstyle {\text{V}}}\ -\varphi )=&-0''{,}0000m^{\scriptscriptstyle {\text{V}}}\\&&&\ \ 4{,}6769535,&&\quad \ \ \,2{,}8855182,\\&&[1,0]{\frac {\lambda \ \ \ \cos(\varphi \ \ \ -\varphi ')}{\lambda '}}=&1''{,}1351m&[1,0]\lambda \ \ \ \sin(\varphi \ \ \ -\varphi ')=&0''{,}2814m\\&&&\ \ 0{,}0550368,&&\ \ 9{,}4492724,\\&&[1,2]{\frac {\lambda ''\ \cos(\varphi ''\ -\varphi ')}{\lambda '}}=&0''{,}0024m''&[1,2]\lambda ''\ \sin(\varphi ''\ -\varphi ')=&-0''{,}0001m''\\&&&\ \ 7{,}3887957,&&\quad \ \ \,5{,}9805191,\\&&[1,3]{\frac {\lambda '''\cos(\varphi '''-\varphi ')}{\lambda '}}=&0''{,}0000m'''&[1,3]\lambda '''\sin(\varphi '''-\varphi ')=&0''{,}0000m'''\\&&&\ \ 5{,}3798767,&&\ \ 5{,}5531194,\\&&[1,4]{\frac {\lambda ^{\scriptscriptstyle {\text{IV}}}\cos(\varphi ^{\scriptscriptstyle {\text{IV}}}-\varphi ')}{\lambda '}}=&-0''{,}0001m^{\scriptscriptstyle {\text{IV}}}&[1,4]\lambda ^{\scriptscriptstyle {\text{IV}}}\sin(\varphi ^{\scriptscriptstyle {\text{IV}}}-\varphi ')=&0''{,}0000m^{\scriptscriptstyle {\text{IV}}}\\&&&\quad \,\ \ 5{,}8272179,&&\ \ 4{,}8040061,\\&&[1,5]{\frac {\lambda ^{\scriptscriptstyle {\text{V}}}\ \cos(\varphi ^{\scriptscriptstyle {\text{V}}}\ -\varphi ')}{\lambda '}}=&0''{,}0000m^{\scriptscriptstyle {\text{V}}}&[1,5]\lambda ^{\scriptscriptstyle {\text{V}}}\ \sin(\varphi ^{\scriptscriptstyle {\text{V}}}\ -\varphi ')=&0''{,}0000m^{\scriptscriptstyle {\text{V}}}\\&&&\ \ 5{,}6079875,&&\ \ 4{,}5870718,\\&&[2,0]{\frac {\lambda \ \ \ \cos(\varphi \ \ \ -\varphi '')}{\lambda ''}}=&-0''{,}0374m&[2,0]\lambda \ \ \ \sin(\varphi \ \ \ -\varphi '')=&0''{,}0065m\\&&&\quad \,\ \ 8{,}5726301,&&\ \ 7{,}8154290,\\&&[2,1]{\frac {\lambda '\ \ \cos(\varphi '\ \ -\varphi '')}{\lambda ''}}=&2''{,}1033m'&[2,1]\lambda '\ \ \sin(\varphi '\ \ -\varphi '')=&0''{,}1584m'\\&&&\ \ 0{,}3229008,&&\ \ 9{,}1998725,\\&&[2,3]{\frac {\lambda '''\cos(\varphi '''-\varphi '')}{\lambda ''}}=&-0''{,}1487m'''&[2,3]\lambda '''\sin(\varphi '''-\varphi '')=&0''{,}0183m'''\\&&&\quad \,\ \ 9{,}1724071,&&\ \ 8{,}2613147,\\&&[2,4]{\frac {\lambda ^{\scriptscriptstyle {\text{IV}}}\cos(\varphi ^{\scriptscriptstyle {\text{IV}}}-\varphi '')}{\lambda ''}}=&-0''{,}0267m^{\scriptscriptstyle {\text{IV}}}\quad &[2,4]\lambda ^{\scriptscriptstyle {\text{IV}}}\sin(\varphi ^{\scriptscriptstyle {\text{IV}}}-\varphi '')=&0''{,}0011m^{\scriptscriptstyle {\text{IV}}}\\&&&\quad \,\ \ 8{,}4260488,&&\ \ 7{,}0437282,\\&&[2,5]{\frac {\lambda ^{\scriptscriptstyle {\text{V}}}\ \cos(\varphi ^{\scriptscriptstyle {\text{V}}}\ -\varphi '')}{\lambda ''}}=&-0''{,}0026m^{\scriptscriptstyle {\text{V}}}&[2,5]\lambda ^{\scriptscriptstyle {\text{V}}}\ \sin(\varphi ^{\scriptscriptstyle {\text{V}}}\ -\varphi '')=&0''{,}0011m^{\scriptscriptstyle {\text{V}}}\\&&&\quad \,\ \ 7{,}4186849,&&\ \ 7{,}0535119,\end{alignedat}}}