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Joseph Louis de Lagrange - Œuvres, Tome 5.djvu/261
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{\displaystyle {\begin{alignedat}{2}(2,1){\frac {\theta '\ \ \cos(\omega '\ \ -\omega '')}{\theta ''}}=&6''{,}5840m'\quad &(2,1)\theta '\ \ \sin(\omega '\ \ -\omega '')=&0''{,}2549m'\\&\ \ 0{,}8184908,&&\ \ 9{,}4063159,\\(3,1){\frac {\theta '\ \ \cos(\omega '\ \ -\omega '')}{\theta ''}}=&3''{,}1742m'&(3,1)\theta '\ \ \sin(\omega '\ \ -\omega '')=&0''{,}1229m'\\&\ \ 0{,}5016373,&&\ \ 9{,}0894624,\\(2,4){\frac {\theta ^{\scriptscriptstyle {\text{IV}}}\cos(\omega ^{\scriptscriptstyle {\text{IV}}}-\omega '')}{\theta ''}}=&1''{,}1086m^{\scriptscriptstyle {\text{IV}}}&(2,4)\theta ^{\scriptscriptstyle {\text{IV}}}\sin(\omega ^{\scriptscriptstyle {\text{IV}}}-\omega '')=&0''{,}0179m^{\scriptscriptstyle {\text{IV}}}\\&\ \ 0{,}0447833,&&\ \ 8{,}2527208,\\(3,4){\frac {\theta ^{\scriptscriptstyle {\text{IV}}}\cos(\omega ^{\scriptscriptstyle {\text{IV}}}-\omega '')}{\theta ''}}=&2''{,}2306m^{\scriptscriptstyle {\text{IV}}}&(3,4)\theta ^{\scriptscriptstyle {\text{IV}}}\sin(\omega ^{\scriptscriptstyle {\text{IV}}}-\omega '')=&0''{,}1974m^{\scriptscriptstyle {\text{IV}}}\\&\ \ 1{,}0874471,&&\ \ 9{,}2953846,\\(2,5){\frac {\theta ^{\scriptscriptstyle {\text{V}}}\ \cos(\omega ^{\scriptscriptstyle {\text{V}}}\ -\omega '')}{\theta ''}}=&0''{,}0688m^{\scriptscriptstyle {\text{V}}}&(2,5)\theta ^{\scriptscriptstyle {\text{V}}}\ \sin(\omega ^{\scriptscriptstyle {\text{V}}}\ -\omega '')=&-0''{,}0001m^{\scriptscriptstyle {\text{V}}}\\&\ \ 8{,}8376803,&&\quad \ \ \,6{,}0274752,\\(3,5){\frac {\theta ^{\scriptscriptstyle {\text{V}}}\ \cos(\omega ^{\scriptscriptstyle {\text{V}}}\ -\omega '')}{\theta ''}}=&0''{,}3693m^{\scriptscriptstyle {\text{V}}}&(3,5)\theta ^{\scriptscriptstyle {\text{V}}}\ \sin(\omega ^{\scriptscriptstyle {\text{V}}}\ -\omega '')=&-0''{,}0006m^{\scriptscriptstyle {\text{V}}}\\&\ \ 9{,}5674076,&&\quad \ \ \,6{,}7572025,\\(4,0){\frac {\theta \ \ \ \cos(\omega \ \ \ -\omega ^{\scriptscriptstyle {\text{IV}}})}{\theta ^{\scriptscriptstyle {\text{IV}}}}}=&0''{,}1220m&(4,0)\theta \ \ \ \sin(\omega \ \ \ -\omega ^{\scriptscriptstyle {\text{IV}}})=&0''{,}0055m\\&\ \ 9{,}0864319,&&\ \ 7{,}7378705,\\(3,0){\frac {\theta \ \ \ \cos(\omega \ \ \ -\omega ^{\scriptscriptstyle {\text{IV}}})}{\theta ^{\scriptscriptstyle {\text{IV}}}}}=&0''{,}2003m&(3,0)\theta \ \ \ \sin(\omega \ \ \ -\omega ^{\scriptscriptstyle {\text{IV}}})=&0''{,}0090m\\&\ \ 9{,}3016120,&&\ \ 7{,}9530506,\\(4,1){\frac {\theta '\ \ \cos(\omega '\ \ -\omega ^{\scriptscriptstyle {\text{IV}}})}{\theta ^{\scriptscriptstyle {\text{IV}}}}}=&1{,}4724m'&(4,1)\theta '\ \ \sin(\omega '\ \ -\omega ^{\scriptscriptstyle {\text{IV}}})=&0''{,}0381m'\\&\ \ 0{,}1680311,&&\ \ 8{,}5809589,\\(3,1){\frac {\theta '\ \ \cos(\omega '\ \ -\omega ^{\scriptscriptstyle {\text{IV}}})}{\theta ^{\scriptscriptstyle {\text{IV}}}}}=&2''{,}4764m'&(3,1)\theta '\ \ \sin(\omega '\ \ -\omega ^{\scriptscriptstyle {\text{IV}}})=&0''{,}0641m'\\&\ \ 0{,}3938116,&&\ \ 8{,}8067394,\\(4,2){\frac {\theta ''\ \cos(\omega ''\ -\omega ^{\scriptscriptstyle {\text{IV}}})}{\theta ^{\scriptscriptstyle {\text{IV}}}}}=&0''{,}0723m''&(4,2)\theta ''\ \sin(\omega ''\ -\omega ^{\scriptscriptstyle {\text{IV}}})=&-0''{,}0021m''\\&\ \ 8{,}8590853,&&\quad \ \ \,7{,}3302643,\end{alignedat}}}