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Joseph Louis de Lagrange - Œuvres, Tome 7.djvu/466
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TABLE IV.
(Suite)
{\displaystyle \scriptscriptstyle {\text{(Suite)}}}
pour déterminer les valeurs de
ν
ψ
,
ψ
{\displaystyle \nu \psi ,\ \psi }
étant supposé
=
1
∘
.
{\displaystyle =1^{\circ }.}
Arg. latitude corrigée
=
φ
.
La quantité prise dans cette Table s’ajoute à celle prise dans la Table I.
{\displaystyle {\begin{array}{|ccc|}\hline &\scriptstyle {\text{Arg. latitude corrigée }}=\varphi .\\\qquad \ \ &\scriptstyle {\text{La quantité prise dans cette Table s’ajoute à celle prise dans la Table I.}}&\qquad \,\\\hline \end{array}}}
S
.
O
+
I
+
II
+
S
.
S
.
VI
−
VII
−
VIII
−
S
.
¯
⏞
⏞
⏞
¯
{\displaystyle {\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 {\qquad \,}}&\overbrace {\ \ \ \qquad \qquad \qquad } &\overbrace {\ \ \ \qquad \qquad \qquad } &\overbrace {\,\ \ \ \qquad \qquad \qquad } &{\overline {\qquad }}\end{array}}}
20
.
∘
0
′
18
.
′
49
,
″
4
Diff.
Cor.
42
.
′
9
,
″
7
Diff.
Cor.
54
.
′
12
,
″
1
Diff.
Cor.
10
.
∘
0
′
−
−
−
20.10
18.58
,
5
9
,
″
1
0
,
″
1
42.15
,
8
6
,
″
1
0
,
″
3
54.13
,
7
1
,
″
6
0
,
″
1
9.50
20.20
19.
7
,
5
9
,
0
0
,
1
42.22
,
0
6
,
2
0
,
3
54.13
,
4
1
,
7
0
,
1
9.40
20.30
19.16
,
5
9
,
0
0
,
1
42.28
,
1
6
,
1
0
,
3
54.15
,
0
1
,
6
0
,
4
9.30
20.40
19.25
,
5
9
,
0
0
,
1
42.34
,
2
6
,
1
0
,
3
54.17
,
5
1
,
5
0
,
4
9.20
20.50
19.34
,
5
9
,
0
0
,
1
42.40
,
3
6
,
1
0
,
3
54.20
,
1
1
,
6
0
,
4
9.10
21.
0
19.43
,
4
8
,
9
0
,
1
42.46
,
3
6
,
0
0
,
3
54.21
,
6
1
,
5
0
,
4
9.
0
21.10
19.52
,
4
9
,
0
0
,
1
42.52
,
4
6
,
1
0
,
3
54.23
,
1
1
,
5
0
,
4
8.50
21.20
20.
1
,
3
8
,
9
0
,
1
42.58
,
4
6
,
0
0
,
3
54.24
,
6
1
,
5
0
,
4
8.40
21.30
20.10
,
3
9
,
0
0
,
1
43.
4
,
4
6
,
0
0
,
3
54.26
,
0
1
,
4
0
,
4
8.30
21.40
20.19
,
2
8
,
9
0
,
1
43.10
,
3
5
,
9
0
,
3
54.27
,
4
1
,
4
0
,
4
8.20
21.50
20.28
,
1
8
,
9
0
,
1
43.16
,
3
6
,
0
0
,
3
54.28
,
8
1
,
4
0
,
4
8.10
22.
0
20.37
,
0
8
,
9
0
,
1
43.22
,
2
5
,
9
0
,
3
54.30
,
1
1
,
3
0
,
4
8.
0
22.10
20.45
,
9
8
,
9
0
,
1
43.28
,
1
5
,
9
0
,
3
54.31
,
4
1
,
3
0
,
4
7.50
22.20
20.54
,
8
8
,
9
0
,
1
43.34
,
0
5
,
9
0
,
3
54.32
,
7
1
,
3
0
,
4
7.40
22.30
21.
3
,
7
8
,
9
0
,
1
43.39
,
9
5
,
9
0
,
3
54.34
,
0
1
,
3
0
,
4
7.30
22.40
21.12
,
6
8
,
9
0
,
1
43.45
,
7
5
,
8
0
,
3
54.35
,
2
1
,
2
0
,
4
7.20
22.50
21.21
,
4
8
,
8
0
,
1
43.51
,
5
5
,
8
0
,
3
54.36
,
4
1
,
2
0
,
4
7.10
23.
0
21.30
,
3
8
,
9
0
,
1
43.57
,
3
5
,
8
0
,
3
54.37
,
6
1
,
2
0
,
4
7.
0
23.10
21.39
,
1
8
,
8
0
,
1
44.
3
,
1
5
,
9
0
,
3
54.38
,
8
1
,
2
0
,
4
6.50
23.20
21.47
,
9
8
,
8
0
,
1
44.
8
,
8
5
,
7
0
,
3
54.39
,
9
1
,
1
0
,
4
6.40
23.30
21.56
,
7
8
,
8
0
,
1
44.14
,
5
5
,
7
0
,
3
54.41
,
0
1
,
1
0
,
4
6.30
23.40
22.
5
,
6
8
,
9
0
,
1
44.20
,
2
5
,
7
0
,
3
54.42
,
1
1
,
1
0
,
4
6.20
23.50
22.14
,
4
8
,
8
0
,
1
44.25
,
9
5
,
7
0
,
3
54.43
,
2
1
,
1
0
,
4
6.10
24.
0
22.23
,
1
8
,
7
0
,
1
44.31
,
6
5
,
7
0
,
3
54.44
,
2
1
,
0
0
,
4
6.
0
24.10
22.31
,
9
8
,
8
0
,
1
44.37
,
2
5
,
6
0
,
3
54.45
,
2
1
,
0
0
,
4
5.50
24.20
22.40
,
7
8
,
8
0
,
1
44.42
,
8
5
,
6
0
,
3
54.46
,
1
0
,
9
0
,
4
5.40
24.30
22.49
,
4
8
,
7
0
,
1
44.48
,
4
5
,
6
0
,
3
54.47
,
0
0
,
9
0
,
4
5.30
24.40
22.58
,
2
8
,
8
0
,
1
44.54
,
0
5
,
6
0
,
3
54.47
,
9
0
,
9
0
,
4
5.20
24.50
23.
6
,
9
8
,
7
0
,
1
44.59
,
5
5
,
5
0
,
3
54.48
,
8
0
,
9
0
,
4
5.10
25.
0
23.15
,
6
8
,
7
0
,
1
45.
5
,
0
5
,
5
0
,
3
54.49
,
7
0
,
9
0
,
4
5.
0
{\displaystyle {\begin{array}{|r|c|c|c|c|c|c|c|c|c|c|}20{\overset {^{\circ }}{.}}\ \ 0'&18{\overset {'}{.}}49{\overset {''}{,}}4&\scriptstyle {\text{Diff.}}&\scriptstyle {\text{Cor.}}&42{\overset {'}{.}}\ \ 9{\overset {''}{,}}7&\scriptstyle {\text{Diff.}}&\scriptstyle {\text{Cor.}}&54{\overset {'}{.}}12{\overset {''}{,}}1&\scriptstyle {\text{Diff.}}&\scriptstyle {\text{Cor.}}&10{\overset {^{\circ }}{.}}\ \ 0'\\&&&-&&&-&&&-\\20.10&18.58,5&9{\overset {''}{,}}1&0{\overset {''}{,}}1&42.15,8&6{\overset {''}{,}}1&0{\overset {''}{,}}3&54.13,7&1{\overset {''}{,}}6&0{\overset {''}{,}}1&9.50\\20.20&19.\ \ 7,5&9,0&0,1&42.22,0&6,2&0,3&54.13,4&1,7&0,1&9.40\\20.30&19.16,5&9,0&0,1&42.28,1&6,1&0,3&54.15,0&1,6&0,4&9.30\\20.40&19.25,5&9,0&0,1&42.34,2&6,1&0,3&54.17,5&1,5&0,4&9.20\\20.50&19.34,5&9,0&0,1&42.40,3&6,1&0,3&54.20,1&1,6&0,4&9.10\\21.\ \ 0&19.43,4&8,9&0,1&42.46,3&6,0&0,3&54.21,6&1,5&0,4&9.\ \ 0\\\\21.10&19.52,4&9,0&0,1&42.52,4&6,1&0,3&54.23,1&1,5&0,4&8.50\\21.20&20.\ \ 1,3&8,9&0,1&42.58,4&6,0&0,3&54.24,6&1,5&0,4&8.40\\21.30&20.10,3&9,0&0,1&43.\ \ 4,4&6,0&0,3&54.26,0&1,4&0,4&8.30\\21.40&20.19,2&8,9&0,1&43.10,3&5,9&0,3&54.27,4&1,4&0,4&8.20\\21.50&20.28,1&8,9&0,1&43.16,3&6,0&0,3&54.28,8&1,4&0,4&8.10\\22.\ \ 0&20.37,0&8,9&0,1&43.22,2&5,9&0,3&54.30,1&1,3&0,4&8.\ \ 0\\\\22.10&20.45,9&8,9&0,1&43.28,1&5,9&0,3&54.31,4&1,3&0,4&7.50\\22.20&20.54,8&8,9&0,1&43.34,0&5,9&0,3&54.32,7&1,3&0,4&7.40\\22.30&21.\ \ 3,7&8,9&0,1&43.39,9&5,9&0,3&54.34,0&1,3&0,4&7.30\\22.40&21.12,6&8,9&0,1&43.45,7&5,8&0,3&54.35,2&1,2&0,4&7.20\\22.50&21.21,4&8,8&0,1&43.51,5&5,8&0,3&54.36,4&1,2&0,4&7.10\\23.\ \ 0&21.30,3&8,9&0,1&43.57,3&5,8&0,3&54.37,6&1,2&0,4&7.\ \ 0\\\\23.10&21.39,1&8,8&0,1&44.\ \ 3,1&5,9&0,3&54.38,8&1,2&0,4&6.50\\23.20&21.47,9&8,8&0,1&44.\ \ 8,8&5,7&0,3&54.39,9&1,1&0,4&6.40\\23.30&21.56,7&8,8&0,1&44.14,5&5,7&0,3&54.41,0&1,1&0,4&6.30\\23.40&22.\ \ 5,6&8,9&0,1&44.20,2&5,7&0,3&54.42,1&1,1&0,4&6.20\\23.50&22.14,4&8,8&0,1&44.25,9&5,7&0,3&54.43,2&1,1&0,4&6.10\\24.\ \ 0&22.23,1&8,7&0,1&44.31,6&5,7&0,3&54.44,2&1,0&0,4&6.\ \ 0\\\\24.10&22.31,9&8,8&0,1&44.37,2&5,6&0,3&54.45,2&1,0&0,4&5.50\\24.20&22.40,7&8,8&0,1&44.42,8&5,6&0,3&54.46,1&0,9&0,4&5.40\\24.30&22.49,4&8,7&0,1&44.48,4&5,6&0,3&54.47,0&0,9&0,4&5.30\\24.40&22.58,2&8,8&0,1&44.54,0&5,6&0,3&54.47,9&0,9&0,4&5.20\\24.50&23.\ \ 6,9&8,7&0,1&44.59,5&5,5&0,3&54.48,8&0,9&0,4&5.10\\25.\ \ 0&23.15,6&8,7&0,1&45.\ \ 5,0&5,5&0,3&54.49,7&0,9&0,4&5.\ \ 0\end{array}}}
_
⏟
⏟
⏟
_
S
.
XI
−
X
−
IX
−
S
.
S
.
V
+
IV
+
III
+
S
.
{\displaystyle {\begin{array}{|c|c|c|c|c|}{\underline {\qquad \ }}&\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}}}