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Joseph Louis de Lagrange - Œuvres, Tome 7.djvu/463
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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 {\quad \ \ \,}}&\overbrace {\,\ \qquad \qquad \qquad } &\overbrace {\,\ \ \ \qquad \qquad \qquad } &\overbrace {\ \ \ \,\qquad \qquad \qquad } &{\overline {\qquad }}\end{array}}}
5
.
∘
0
′
4
.
′
47
,
″
8
Diff.
Cor.
31
.
′
34
,
″
1
Diff.
Cor.
49
.
′
52
,
″
8
Diff.
Cor.
25
.
∘
0
′
−
−
−
5.10
4.57
,
4
9
,
″
6
0
,
″
0
31.42
,
0
7
,
″
9
0
,
″
2
49.56
,
9
4
,
″
1
0
,
″
4
24.50
5.20
5.
6
,
9
9
,
5
0
,
0
31.49
,
8
7
,
9
0
,
2
50.
0
,
9
4
,
0
0
,
4
24.40
5.30
5.16
,
5
9
,
6
0
,
0
31.57
,
6
7
,
8
0
,
2
50.
4
,
9
4
,
0
0
,
4
24.30
5.40
5.26
,
1
9
,
6
0
,
0
32.
5
,
4
7
,
8
0
,
2
50.
8
,
9
4
,
0
0
,
4
24.20
5.50
5.35
,
6
9
,
5
0
,
0
32.13
,
2
7
,
8
0
,
2
50.12
,
8
3
,
9
0
,
4
24.10
6.
0
5.45
,
2
9
,
6
0
,
0
32.21
,
0
7
,
8
0
,
2
50.16
,
8
4
,
0
0
,
4
24.
0
6.10
5.54
,
7
9
,
5
0
,
0
32.28
,
8
7
,
8
0
,
2
50.20
,
7
3
,
9
0
,
4
23.50
6.20
6.
4
,
3
9
,
6
0
,
0
32.36
,
5
7
,
7
0
,
2
50.24
,
5
3
,
8
0
,
4
23.40
6.30
6.13
,
8
9
,
5
0
,
0
32.44
,
3
7
,
8
0
,
2
50.28
,
4
3
,
9
0
,
4
23.30
6.40
6.23
,
3
9
,
5
0
,
0
32.52
,
0
7
,
7
0
,
2
50.32
,
2
3
,
8
0
,
4
23.20
6.50
6.32
,
9
9
,
6
0
,
0
32.59
,
7
7
,
7
0
,
2
50.36
,
0
3
,
8
0
,
4
23.10
7.
0
6.42
,
4
9
,
5
0
,
0
33.
7
,
3
7
,
6
0
,
2
50.39
,
7
3
,
7
0
,
4
23.
0
7.10
6.52
,
0
9
,
6
0
,
0
33.15
,
0
7
,
7
0
,
2
50.43
,
5
3
,
8
0
,
4
22.50
7.20
7.
1
,
5
9
,
5
0
,
0
33.22
,
6
7
,
6
0
,
2
50.47
,
2
3
,
7
0
,
4
22.40
7.30
7.11
,
0
9
,
5
0
,
0
33.30
,
3
7
,
7
0
,
2
50.50
,
9
3
,
7
0
,
4
22.30
7.40
7.20
,
6
9
,
6
0
,
0
33.37
,
9
7
,
6
0
,
2
50.54
,
5
3
,
6
0
,
4
22.20
7.50
7.30
,
1
9
,
5
0
,
0
33.45
,
5
7
,
6
0
,
2
50.58
,
2
3
,
7
0
,
4
22.10
8.
0
7.39
,
6
9
,
5
0
,
0
33.53
,
1
7
,
6
0
,
2
51.
1
,
8
3
,
6
0
,
4
22.
0
8.10
7.49
,
1
9
,
5
0
,
0
34.
0
,
6
7
,
5
0
,
2
51.
5
,
4
3
,
6
0
,
4
21.50
8.20
7.58
,
6
9
,
5
0
,
0
34.
8
,
2
7
,
6
0
,
2
51.
8
,
9
3
,
5
0
,
4
21.40
8.30
8.
8
,
1
9
,
5
0
,
0
34.15
,
7
7
,
5
0
,
2
51.12
,
5
3
,
6
0
,
4
21.30
8.40
8.17
,
6
9
,
5
0
,
0
34.23
,
2
7
,
5
0
,
2
51.16
,
0
3
,
5
0
,
4
21.20
8.50
8.27
,
1
9
,
5
0
,
0
34.30
,
7
7
,
5
0
,
2
51.19
,
5
3
,
5
0
,
4
21.10
9.
0
8.36
,
6
9
,
5
0
,
0
34.38
,
2
7
,
5
0
,
2
51.22
,
9
3
,
4
0
,
4
21.
0
9.10
8.46
,
1
9
,
5
0
,
0
34.45
,
6
7
,
4
0
,
2
51.26
,
4
3
,
5
0
,
4
20.50
9.20
8.55
,
6
9
,
5
0
,
0
34.53
,
1
7
,
5
0
,
2
51.29
,
8
3
,
4
0
,
4
20.40
9.30
9.
5
,
0
9
,
4
0
,
0
35.
0
,
5
7
,
4
0
,
2
51.33
,
1
3
,
3
0
,
4
20.30
9.40
9.14
,
5
9
,
5
0
,
0
35.
7
,
9
7
,
4
0
,
2
51.36
,
5
3
,
4
0
,
4
20.20
9.50
9.24
,
0
9
,
5
0
,
0
35.15
,
3
7
,
4
0
,
2
51.39
,
8
3
,
3
0
,
4
20.10
10.
0
9.33
,
4
9
,
4
0
,
0
35.22
,
6
7
,
3
0
,
2
51.43
,
1
3
,
3
0
,
4
20.
0
{\displaystyle {\begin{array}{|r|c|c|c|c|c|c|c|c|c|c|}5{\overset {^{\circ }}{.}}\ \ 0'&4{\overset {'}{.}}47{\overset {''}{,}}8&\scriptstyle {\text{Diff.}}&\scriptstyle {\text{Cor.}}&31{\overset {'}{.}}34{\overset {''}{,}}1&\scriptstyle {\text{Diff.}}&\scriptstyle {\text{Cor.}}&49{\overset {'}{.}}52{\overset {''}{,}}8&\scriptstyle {\text{Diff.}}&\scriptstyle {\text{Cor.}}&25{\overset {^{\circ }}{.}}\ \ 0'\\&&&-&&&-&&&-\\5.10&4.57,4&9{\overset {''}{,}}6&0{\overset {''}{,}}0&31.42,0&7{\overset {''}{,}}9&0{\overset {''}{,}}2&49.56,9&4{\overset {''}{,}}1&0{\overset {''}{,}}4&24.50\\5.20&5.\ \ 6,9&9,5&0,0&31.49,8&7,9&0,2&50.\ \ 0,9&4,0&0,4&24.40\\5.30&5.16,5&9,6&0,0&31.57,6&7,8&0,2&50.\ \ 4,9&4,0&0,4&24.30\\5.40&5.26,1&9,6&0,0&32.\ \ 5,4&7,8&0,2&50.\ \ 8,9&4,0&0,4&24.20\\5.50&5.35,6&9,5&0,0&32.13,2&7,8&0,2&50.12,8&3,9&0,4&24.10\\6.\ \ 0&5.45,2&9,6&0,0&32.21,0&7,8&0,2&50.16,8&4,0&0,4&24.\ \ 0\\\\6.10&5.54,7&9,5&0,0&32.28,8&7,8&0,2&50.20,7&3,9&0,4&23.50\\6.20&6.\ \ 4,3&9,6&0,0&32.36,5&7,7&0,2&50.24,5&3,8&0,4&23.40\\6.30&6.13,8&9,5&0,0&32.44,3&7,8&0,2&50.28,4&3,9&0,4&23.30\\6.40&6.23,3&9,5&0,0&32.52,0&7,7&0,2&50.32,2&3,8&0,4&23.20\\6.50&6.32,9&9,6&0,0&32.59,7&7,7&0,2&50.36,0&3,8&0,4&23.10\\7.\ \ 0&6.42,4&9,5&0,0&33.\ \ 7,3&7,6&0,2&50.39,7&3,7&0,4&23.\ \ 0\\\\7.10&6.52,0&9,6&0,0&33.15,0&7,7&0,2&50.43,5&3,8&0,4&22.50\\7.20&7.\ \ 1,5&9,5&0,0&33.22,6&7,6&0,2&50.47,2&3,7&0,4&22.40\\7.30&7.11,0&9,5&0,0&33.30,3&7,7&0,2&50.50,9&3,7&0,4&22.30\\7.40&7.20,6&9,6&0,0&33.37,9&7,6&0,2&50.54,5&3,6&0,4&22.20\\7.50&7.30,1&9,5&0,0&33.45,5&7,6&0,2&50.58,2&3,7&0,4&22.10\\8.\ \ 0&7.39,6&9,5&0,0&33.53,1&7,6&0,2&51.\ \ 1,8&3,6&0,4&22.\ \ 0\\\\8.10&7.49,1&9,5&0,0&34.\ \ 0,6&7,5&0,2&51.\ \ 5,4&3,6&0,4&21.50\\8.20&7.58,6&9,5&0,0&34.\ \ 8,2&7,6&0,2&51.\ \ 8,9&3,5&0,4&21.40\\8.30&8.\ \ 8,1&9,5&0,0&34.15,7&7,5&0,2&51.12,5&3,6&0,4&21.30\\8.40&8.17,6&9,5&0,0&34.23,2&7,5&0,2&51.16,0&3,5&0,4&21.20\\8.50&8.27,1&9,5&0,0&34.30,7&7,5&0,2&51.19,5&3,5&0,4&21.10\\9.\ \ 0&8.36,6&9,5&0,0&34.38,2&7,5&0,2&51.22,9&3,4&0,4&21.\ \ 0\\\\9.10&8.46,1&9,5&0,0&34.45,6&7,4&0,2&51.26,4&3,5&0,4&20.50\\9.20&8.55,6&9,5&0,0&34.53,1&7,5&0,2&51.29,8&3,4&0,4&20.40\\9.30&9.\ \ 5,0&9,4&0,0&35.\ \ 0,5&7,4&0,2&51.33,1&3,3&0,4&20.30\\9.40&9.14,5&9,5&0,0&35.\ \ 7,9&7,4&0,2&51.36,5&3,4&0,4&20.20\\9.50&9.24,0&9,5&0,0&35.15,3&7,4&0,2&51.39,8&3,3&0,4&20.10\\10.\ \ 0&9.33,4&9,4&0,0&35.22,6&7,3&0,2&51.43,1&3,3&0,4&20.\ \ 0\end{array}}}
_
⏟
⏟
⏟
_
S
.
XI
−
X
−
IX
−
S
.
S
.
V
+
IV
+
III
+
S
.
{\displaystyle {\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}}}