Page:Joseph Louis de Lagrange - Œuvres, Tome 5.djvu/220

Pour $z={\frac {r'''}{r''}}=0{,}656301$ :

${\begin{alignedat}{2}\mathrm {M} =&1{,}110961,&\mathrm {N} =&0{,}309374,\\\mathrm {P} =&0{,}939816,&\mathrm {Q} =&0{,}722709,\\(2,3)=&0{,}499687\mathrm {T} '''\qquad \qquad &[2,3]=&0{,}384256\mathrm {T} '''\\&9{,}6986980,&&9{,}5846187,\\(3,2)=&0{,}616803\mathrm {T} ''&[3,2]=&0{,}474315\mathrm {T} ''\\&9{,}7901465,&&9{,}6760672.\end{alignedat}}$

Pour $z={\frac {r^{\scriptscriptstyle {\text{IV}}}}{r''}}=0{,}474723$ :

${\begin{alignedat}{2}\mathrm {M} =&1{,}057182,&\mathrm {N} =&0{,}230473,\\\mathrm {P} =&0{,}273498,&\mathrm {Q} =&0{,}157378,\\(2,4)=&0{,}145415\mathrm {T} ^{\scriptscriptstyle {\text{IV}}}\qquad \qquad &[2,4]=&6{,}0836757\mathrm {T} ^{\scriptscriptstyle {\text{IV}}}\\&9{,}1626092,&&8{,}9225991,\\(4,2)=&0{,}211052\mathrm {T} ''&[4,2]=&0{,}121445\mathrm {T} ''\\&9{,}3243891,&&9{,}0843790.\end{alignedat}}$

Pour $z={\frac {r^{\scriptscriptstyle {\text{V}}}}{r''}}=0{,}254054$ :

${\begin{alignedat}{2}\mathrm {M} =&1{,}016565,&\mathrm {N} =&0{,}125947,\\\mathrm {P} =&0{,}053451,&\mathrm {Q} =&0{,}016553,\\(2,5)=&0{,}028420\mathrm {T} ^{\scriptscriptstyle {\text{V}}}\qquad \qquad &[2,5]=&0{,}008785\mathrm {T} ^{\scriptscriptstyle {\text{V}}}\\&8{,}4536109,&&7{,}9437440,\\(5,2)=&0{,}056383\mathrm {T} ''&[5,2]=&0{,}017429\mathrm {T} ''\\&8{,}7511479,&&8{,}2412810.\end{alignedat}}$

Pour $z={\frac {r^{\scriptscriptstyle {\text{IV}}}}{r'''}}=0{,}723330$ :

${\begin{alignedat}{2}\mathrm {M} =&1{,}135763,&\mathrm {N} =&0{,}386131,\\\mathrm {P} =&1{,}604256,&\mathrm {Q} =&1{,}335909,\\(3,4)=&1{,}604256\mathrm {T} ^{\scriptscriptstyle {\text{IV}}}\qquad \qquad &[3,4]=&1{,}335909\mathrm {T} ^{\scriptscriptstyle {\text{IV}}}\\&0{,}2052730,&&0{,}1257768,\\(4,3)=&1{,}886275\mathrm {T} '''&[4,3]=&1{,}570756\mathrm {T} '''\\&0{,}2756048,&&0{,}1961086.\end{alignedat}}$