Page:Joseph Louis de Lagrange - Œuvres, Tome 7.djvu/457

TABLE I.

pour déterminer les valeurs de $\mu \psi ,\lambda \psi ,\nu \psi ,\psi$ étant supposé $=1^{\circ }.$

${\begin{array}{|clc|}\hline \qquad \qquad \quad \ &\scriptstyle {\text{Arg. I, pour }}\,\mu \psi =\varphi -\mathrm {A} .&\qquad \qquad \quad \ \\&\scriptstyle {\text{Arg. II, pour }}\mu \psi ={\text{VI signes}}-(\varphi +\mathrm {A} ).&\\&\scriptstyle {\text{Arg. I, pour }}\,\lambda \psi ={\text{III signes}}-\arg .\ {\text{I pour }}\mu \psi .&\\&\scriptstyle {\text{Arg. II, pour }}\lambda \psi ={\text{III signes}}-\arg .{\text{II pour }}\mu \psi .&\\&\scriptstyle {\text{Arg. I, pour }}\,\nu \psi =\arg .{\text{V pour }}\nu \psi +\mathrm {A} .&\\&\scriptstyle {\text{Arg. II, pour }}\nu \psi ={\text{VI signes}}+\arg .{\text{III pour }}\mu \psi +\mathrm {A} .&\\\hline \end{array}}$

${\begin{array}{|c|c|c|c|c|}{\text{S}}.&\quad \ \,{\text{O}}\quad +\quad &\quad \ \ {\text{I}}\ \ \quad +\quad &\quad \ \ {\text{II}}\ \ \quad +\quad &{\text{S}}.\\{\text{S}}.&\quad {\text{VI}}\quad -\quad &\quad {\text{VII}}\quad -\quad &\quad {\text{VIII}}\quad -\quad &{\text{S}}.\\{\overline {\quad \ \ \ }}&\overbrace {\ \,\qquad \qquad \qquad } &\overbrace {\ \,\qquad \qquad \qquad } &\overbrace {\ \ \ \qquad \qquad \qquad } &{\overline {\qquad \,}}\end{array}}$

${\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|}0{\overset {^{\circ }}{.}}\ \ 0'&0{\overset {'}{.}}\ \ 0{\overset {''}{,}}0&\scriptstyle {\text{Diff.}}&\scriptstyle {\text{Cor.}}&5{\overset {'}{.}}58{\overset {''}{,}}4&\scriptstyle {\text{Diff.}}&\scriptstyle {\text{Cor.}}&10{\overset {'}{.}}20{\overset {''}{,}}8&\scriptstyle {\text{Diff.}}&\scriptstyle {\text{Cor.}}&30{\overset {^{\circ }}{.}}\ \ 0'\\&&&+&&&+&&&+\\0.30&0.\ \ 6,3&6{\overset {''}{,}}3&0{\overset {''}{,}}0&6.\ \ 3,8&5{\overset {''}{,}}4&0{\overset {''}{,}}3&10.23,9&3{\overset {''}{,}}1&0{\overset {''}{,}}4&29.30\\1.\ \ 0&0.12,5&6,2&0,0&6.\ \ 9,2&5,4&0,3&10.26,9&3,0&0,4&29.\ \ 0\\1.30&0.18,8&6,3&0,0&6.14,5&5,3&0,3&10.29,9&3,0&0,4&28.30\\2.\ \ 0&0.25,1&6,3&0,0&6.19,9&5,4&0,3&10.32,9&3,0&0,4&28.\ \ 0\\2.30&0.31,3&6,2&0,0&6.25,2&5,3&0,3&10.35,8&2,9&0,4&27.30\\3.\ \ 0&0.37,6&6,3&0,0&6.30,4&5,2&0,3&10.38,7&2,9&0,4&27.\ \ 0\\\\3.30&0.43,8&6,2&0,0&6.35,6&5,2&0,3&10.41,5&2,8&0,4&26.30\\4.\ \ 0&0.50,0&6,2&0,0&6.40,8&5,2&0,3&10.44,3&2,8&0,4&26.\ \ 0\\4.30&0.56,3&6,3&0,0&6.46,0&5,2&0,3&10.47,0&2,7&0,5&25.30\\5.\ \ 0&1.\ \ 2,5&6,2&0,0&6.51,1&5,1&0,3&10.49,6&2,6&0,5&25.\ \ 0\\5.30&1.\ \ 8,7&6,2&0,1&6.56,2&5,1&0,3&10.52,2&2,6&0,5&24.30\\6.\ \ 0&1.15,0&6,3&0,1&7.\ \ 1,3&5,1&0,3&10.54,8&2,6&0,5&24.\ \ 0\\\\6.30&1.21,2&6,2&0,1&7.\ \ 6,4&5,1&0,3&10.57,3&2,5&0,5&23.30\\7.\ \ 0&1.27,4&6,2&0,1&7.11,4&5,0&0,3&10.59,8&2,5&0,5&23.\ \ 0\\7.30&1.33,6&6,2&0,1&7.16,4&5,0&0,3&11.\ \ 2,2&2,4&0,5&22.30\\8.\ \ 0&1.39,8&6,2&0,1&7.21,3&4,9&0,3&11.\ \ 4,6&2,4&0,5&22.\ \ 0\\8.30&1.46,0&6,2&0,1&7.26,2&4,9&0,3&11.\ \ 6,9&2,3&0,5&21.30\\9.\ \ 0&1.52,2&6,2&0,1&7.31,1&4,9&0,3&11.\ \ 9,2&2,3&0,5&21.\ \ 0\\\\9.30&1.58,3&6,1&0,1&7.35,9&4,8&0,3&11.11,4&2,2&0,5&20.30\\10.\ \ 0&2.\ \ 4,5&6,2&0,1&7.40,7&4,8&0,3&11.13,6&2,2&0,5&20.\ \ 0\\10.30&2.10,6&6,1&0,1&7.45,5&4,8&0,3&11.15,7&2,1&0,5&19.30\\11.\ \ 0&2.16,8&6,2&0,1&7.50,3&4,8&0,3&11.17,7&2,0&0,5&19.\ \ 0\\11.30&2.22,9&6,1&0,1&7.55,0&4,7&0,3&11.19,7&2,0&0,5&18.30\\12.\ \ 0&2.29,1&6,2&0,1&7.59,6&4,6&0,3&11.21,7&2,0&0,5&18.\ \ 0\\\\12.30&2.35,2&6,1&0,1&8.\ \ 4,3&4,7&0,3&11.23,6&1,9&0,5&17.30\\13.\ \ 0&2.41,3&6,1&0,1&8.\ \ 8,9&4,6&0,3&11.25,5&1,9&0,5&17.\ \ 0\\13.30&2.47,4&6,1&0,1&8.13,4&4,5&0,3&11.27,3&1,8&0,5&16.30\\14.\ \ 0&2.53,4&6,0&0,1&8.17,9&4,5&0,3&11.29,0&1,7&0,5&16.\ \ 0\\14.30&2.59,5&6,1&0,1&8.22,4&4,5&0,4&11.30,7&1,6&0,5&15.30\\15.\ \ 0&3.\ \ 5,5&6,0&0,1&8.26,8&4,4&0,4&11.32,4&1,7&0,5&15.\ \ 0\end{array}}$

${\begin{array}{|c|c|c|c|c|}{\underline {\quad \ \ \ \,}}&\underbrace {\ \,\qquad \qquad \qquad } &\underbrace {\ \ \qquad \qquad \qquad } &\underbrace {\ \ \ \,\qquad \qquad \qquad } &{\underline {\qquad }}\\{\text{S}}.&\quad {\text{XI}}\ \ \ -\quad &\quad \ {\text{X}}\ \quad -\quad &\quad {\text{IX}}\quad -\quad &{\text{S}}.\\{\text{S}}.&\quad {\text{V}}\quad +\quad &\quad {\text{IV}}\quad +\quad &\quad {\text{III}}\quad +\quad &{\text{S}}.\\\hline \end{array}}$