Page:Mémoires de l’Académie des sciences, Tome 10.djvu/760

$\lambda =68^{\text{g}}{,}7481''{,}87\,;\qquad \sigma '=42^{\text{g}}{,}6650''{,}37\,;\qquad \sigma ''=43^{\text{g}}{,}4526''{,}12\,;$

et la formule (A’) du § II donnera, à cause de $\sigma ''-\sigma '=7875''{,}75,$

${\begin{alignedat}{2}\log .(\sigma ''-\sigma ')=&3.8962926\qquad \qquad \quad &\ldots \ldots \ldots \ldots &3.89629-\\\log .{\frac {1}{4}}\varepsilon =&7.2116290&\operatorname {l} .{\frac {3}{64}}=&8.67095\\\operatorname {l} .\sin .^{2}\lambda =&{\underline {9.8908462}}&\log .\varepsilon ^{2}=&5.62738\\&0.9987678&\operatorname {l} .\sin .^{4}\lambda =&{\underline {9.78169}}\\2^{\text{e}}{\text{ terme}}=&{\underline {+9''{,}9716}}&&7.97631-\\&&3^{\text{e}}{\text{ terme}}=&{\underline {-0''{,}00946}}\\\end{alignedat}}$

${\begin{alignedat}{2}\log .\sin .2\sigma ''=9.9907468=&+0{,}978919&\log .{\frac {1}{8}}\varepsilon =&6.91060\\\log .\sin .2\sigma '=9.9881730=&{\underline {\,-0{,}973135}}&\operatorname {l} .\sin .^{2}\lambda =&9.89085\\\sin .2\sigma ''-\sin .2\sigma '=&\quad 0{,}005784\qquad &{\text{dont le }}\log .=&{\underline {7.76223+}}\\&&&0.36756+\\&&4^{\text{e}}{\text{ terme}}=+&2''{,}3311\end{alignedat}}$

${\begin{alignedat}{2}\operatorname {l} .(\sin .2\sigma ''-\sin .2\sigma ')=&7.76223-\\\operatorname {l} .{\frac {1}{8}}\varepsilon ^{=}&4.72429\\\operatorname {l} .{\frac {1}{4}}=&9.39794\\\operatorname {l} .\sin .^{4}\lambda =&9.78169&\operatorname {l} .\sin .^{4}\sigma ''=9.9621634=&+0{,}916565\\{\text{c}}.\log .\sin .1''=&{\underline {5.80388}}&\operatorname {l} .\sin .4\sigma '=9.9513289=&{\underline {-\ \ 0{,}893982}}\\&7.47003-&\sin .4\sigma ''-\sin .4\sigma '=&\quad \;0{,}022583\\5^{\text{e}}{\text{ terme}}=-&{\underline {0''{,}00295}}\end{alignedat}}$

${\begin{aligned}\log .{\frac {1}{256}}=&7.59176-\\\log .\varepsilon ^{2}=&5.62738\\\operatorname {l} .\sin .^{4}\lambda =&9.78169\\\operatorname {l} .(\sin .4\sigma ''-\sin .4\sigma ')=&8.35378\\{\text{c}}.\log .\sin .1''=&{\underline {5.80388}}\\&7.15849-\\6^{\text{e}}{\text{ terme}}=-&0'',00144\end{aligned}}$