Page:Joseph Louis de Lagrange - Œuvres, Tome 6.djvu/598

de plus

${\begin{alignedat}{2}\log(q-q')=&9{,}2766997,\\\log {\sqrt {(q-q')^{2}-4p'}}=&{\underline {0{,}3477697}},\\\mathrm {Diff{\acute {e}}rence} \ldots \ldots \ \ &8{,}9288300.\qquad &\mathrm {Nombre\ corr} .=0{,}08488.\end{alignedat}}$

${\begin{aligned}\log 0{,}91512=&9{,}9614780,\\\log 1{,}08488=&0{,}0353818,\\\log {\frac {p}{2}}=\log 350=&{\underline {2{,}5440680}},\\\log \mathrm {F} =&2{,}5055460,\\\log \mathrm {G} =&2{,}5794498.\end{aligned}}$

Donc

$\mathrm {F} =320{,}30,\quad \mathrm {G} =379{,}70.$

Employons maintenant les valeurs données par la seconde série, et l’on aura

${\begin{alignedat}{3}q+q'\quad =&0{,}84135,\\q-q'\quad =&0{,}22997,\qquad &\log =&9{,}3616712,\qquad &2\log =&8{,}7233424,\\(q-q')^{2}=&0,05288,\\-4p'=&{\underline {4{,}89160}},\\&4{,}94448&\log =&0{,}6941206,&-{\frac {1}{2}}\log =&0{,}3470603.\end{alignedat}}$

${\begin{aligned}{\sqrt {(q-q')^{2}-4p'}}=&2{,}22362,\\q+q'=&{\underline {0{,}84135}}.\\\mathrm {Somme} \ldots \ldots \ldots \ \ &3{,}06497.\\\mathrm {Diff{\acute {e}}rence} \ldots \ldots \ \ &1{,}38227.\\\end{aligned}}$

Donc

$\varpi =0{,}69113,\quad \rho =-1{,}53248\,;$

${\begin{alignedat}{2}\log(q-q')=&9{,}3616712,\\\log {\sqrt {(q-q')^{2}-4p'}}=&{\underline {0{,}3470603}},\\\mathrm {Diff{\acute {e}}rence} \ldots \ldots \ \ &9{,}0146109.\qquad &\mathrm {Nombre\ corr} .=0{,}10342.\end{alignedat}}$