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Joseph Louis de Lagrange - Œuvres, Tome 7.djvu/464
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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}}}
10
.
∘
0
′
9
.
′
33
,
″
4
Diff.
Cor.
35
.
′
22
,
″
6
Diff.
Cor.
51
.
′
43
,
″
1
Diff.
Cor.
20
.
∘
0
′
−
−
−
10.10
9.42
,
9
9
,
″
5
0
,
″
1
35.30
,
0
7
,
″
4
0
,
″
3
51.46
,
4
3
,
″
3
0
,
″
4
19.50
10.20
9.52
,
3
9
,
4
0
,
1
35.37
,
3
7
,
3
0
,
3
51.49
,
6
3
,
2
0
,
4
19.40
10.30
10.
1
,
8
9
,
5
0
,
1
35.44
,
6
7
,
3
0
,
3
51.52
,
8
3
,
2
0
,
4
19.30
10.40
10.11
,
2
9
,
4
0
,
1
35.51
,
9
7
,
3
0
,
3
51.56
,
0
3
,
2
0
,
4
19.20
10.50
10.20
,
7
9
,
5
0
,
1
35.59
,
2
7
,
3
0
,
3
51.59
,
2
3
,
2
0
,
4
19.10
11.
0
10.30
,
1
9
,
4
0
,
1
36.
6
,
5
7
,
3
0
,
3
52.
2
,
3
3
,
1
0
,
4
19.
0
11.10
10.39
,
5
9
,
4
0
,
1
36.13
,
7
7
,
2
0
,
3
52.
5
,
4
3
,
1
0
,
4
18.50
11.20
10.48
,
9
9
,
4
0
,
1
36.20
,
9
7
,
2
0
,
3
52.
8
,
5
3
,
1
0
,
4
18.40
11.30
10.58
,
4
9
,
5
0
,
1
36.28
,
1
7
,
2
0
,
3
52.11
,
6
3
,
1
0
,
4
18.30
11.40
11.
7
,
8
9
,
4
0
,
1
36.35
,
3
7
,
2
0
,
3
52.14
,
6
3
,
0
0
,
4
18.20
11.50
11.17
,
2
9
,
4
0
,
1
36.42
,
5
7
,
2
0
,
3
52.17
,
6
3
,
0
0
,
4
18.10
12.
0
11.26
,
6
9
,
4
0
,
1
36.49
,
6
7
,
1
0
,
3
52.20
,
6
3
,
0
0
,
4
18.
0
12.10
11.36
,
0
9
,
4
0
,
1
36.56
,
8
7
,
2
0
,
3
52.23
,
6
3
,
0
0
,
4
17.50
12.20
11.45
,
3
9
,
3
0
,
1
37.
3
,
9
7
,
1
0
,
3
52.26
,
5
2
,
9
0
,
4
17.40
12.30
11.54
,
7
9
,
4
0
,
1
37.10
,
9
7
,
0
0
,
3
52.29
,
4
2
,
9
0
,
4
17.30
12.40
12.
4
,
1
9
,
4
0
,
1
37.18
,
0
7
,
1
0
,
3
52.32
,
3
2
,
9
0
,
4
17.20
12.50
12.13
,
5
9
,
4
0
,
1
37.25
,
1
7
,
1
0
,
3
52.35
,
1
2
,
8
0
,
4
17.10
13.
0
12.22
,
8
9
,
3
0
,
1
37.32
,
1
7
,
0
0
,
3
52.37
,
9
2
,
8
0
,
4
17.
0
13.10
12.32
,
2
9
,
4
0
,
1
37.39
,
1
7
,
0
0
,
3
52.40
,
7
2
,
8
0
,
4
16.50
13.20
12.41
,
5
9
,
3
0
,
1
37.46
,
1
7
,
0
0
,
3
52.43
,
5
2
,
8
0
,
4
16.40
13.30
12.50
,
9
9
,
4
0
,
1
37.53
,
1
7
,
0
0
,
3
52.46
,
2
2
,
7
0
,
4
16.30
13.40
13.
0
,
2
9
,
3
0
,
1
38.
0
,
1
7
,
0
0
,
3
52.49
,
0
2
,
8
0
,
4
16.20
13.50
13.
9
,
5
9
,
3
0
,
1
38.
7
,
0
6
,
9
0
,
3
52.51
,
7
2
,
7
0
,
4
16.10
14.
0
13.18
,
8
9
,
3
0
,
1
38.13
,
9
6
,
9
0
,
3
52.54
,
3
2
,
6
0
,
4
16.
0
14.10
13.28
,
2
9
,
4
0
,
1
38.20
,
8
6
,
9
0
,
3
52.57
,
0
2
,
7
0
,
4
15.50
14.20
13.37
,
5
9
,
3
0
,
1
38.27
,
7
6
,
9
0
,
3
52.59
,
6
2
,
6
0
,
4
15.40
14.30
13.46
,
8
9
,
3
0
,
1
38.34
,
6
6
,
9
0
,
3
53.
2
,
1
2
,
5
0
,
4
15.30
14.40
13.56
,
1
9
,
3
0
,
1
38.41
,
4
6
,
8
0
,
3
53.
4
,
7
2
,
6
0
,
4
15.20
14.50
14.
5
,
4
9
,
3
0
,
1
38.48
,
2
6
,
8
0
,
3
53.
7
,
2
2
,
5
0
,
4
15.10
15.
0
14.14
,
7
9
,
3
0
,
1
38.55
,
0
6
,
8
0
,
3
53.
9
,
7
2
,
5
0
,
4
15.
0
{\displaystyle {\begin{array}{|r|c|c|c|c|c|c|c|c|c|c|}10{\overset {^{\circ }}{.}}\ \ 0'&9{\overset {'}{.}}33{\overset {''}{,}}4&\scriptstyle {\text{Diff.}}&\scriptstyle {\text{Cor.}}&35{\overset {'}{.}}22{\overset {''}{,}}6&\scriptstyle {\text{Diff.}}&\scriptstyle {\text{Cor.}}&51{\overset {'}{.}}43{\overset {''}{,}}1&\scriptstyle {\text{Diff.}}&\scriptstyle {\text{Cor.}}&20{\overset {^{\circ }}{.}}\ \ 0'\\&&&-&&&-&&&-\\10.10&9.42,9&9{\overset {''}{,}}5&0{\overset {''}{,}}1&35.30,0&7{\overset {''}{,}}4&0{\overset {''}{,}}3&51.46,4&3{\overset {''}{,}}3&0{\overset {''}{,}}4&19.50\\10.20&\ \ 9.52,3&9,4&0,1&35.37,3&7,3&0,3&51.49,6&3,2&0,4&19.40\\10.30&10.\ \ 1,8&9,5&0,1&35.44,6&7,3&0,3&51.52,8&3,2&0,4&19.30\\10.40&10.11,2&9,4&0,1&35.51,9&7,3&0,3&51.56,0&3,2&0,4&19.20\\10.50&10.20,7&9,5&0,1&35.59,2&7,3&0,3&51.59,2&3,2&0,4&19.10\\11.\ \ 0&10.30,1&9,4&0,1&36.\ \ 6,5&7,3&0,3&52.\ \ 2,3&3,1&0,4&19.\ \ 0\\\\11.10&10.39,5&9,4&0,1&36.13,7&7,2&0,3&52.\ \ 5,4&3,1&0,4&18.50\\11.20&10.48,9&9,4&0,1&36.20,9&7,2&0,3&52.\ \ 8,5&3,1&0,4&18.40\\11.30&10.58,4&9,5&0,1&36.28,1&7,2&0,3&52.11,6&3,1&0,4&18.30\\11.40&11.\ \ 7,8&9,4&0,1&36.35,3&7,2&0,3&52.14,6&3,0&0,4&18.20\\11.50&11.17,2&9,4&0,1&36.42,5&7,2&0,3&52.17,6&3,0&0,4&18.10\\12.\ \ 0&11.26,6&9,4&0,1&36.49,6&7,1&0,3&52.20,6&3,0&0,4&18.\ \ 0\\\\12.10&11.36,0&9,4&0,1&36.56,8&7,2&0,3&52.23,6&3,0&0,4&17.50\\12.20&11.45,3&9,3&0,1&37.\ \ 3,9&7,1&0,3&52.26,5&2,9&0,4&17.40\\12.30&11.54,7&9,4&0,1&37.10,9&7,0&0,3&52.29,4&2,9&0,4&17.30\\12.40&12.\ \ 4,1&9,4&0,1&37.18,0&7,1&0,3&52.32,3&2,9&0,4&17.20\\12.50&12.13,5&9,4&0,1&37.25,1&7,1&0,3&52.35,1&2,8&0,4&17.10\\13.\ \ 0&12.22,8&9,3&0,1&37.32,1&7,0&0,3&52.37,9&2,8&0,4&17.\ \ 0\\\\13.10&12.32,2&9,4&0,1&37.39,1&7,0&0,3&52.40,7&2,8&0,4&16.50\\13.20&12.41,5&9,3&0,1&37.46,1&7,0&0,3&52.43,5&2,8&0,4&16.40\\13.30&12.50,9&9,4&0,1&37.53,1&7,0&0,3&52.46,2&2,7&0,4&16.30\\13.40&13.\ \ 0,2&9,3&0,1&38.\ \ 0,1&7,0&0,3&52.49,0&2,8&0,4&16.20\\13.50&13.\ \ 9,5&9,3&0,1&38.\ \ 7,0&6,9&0,3&52.51,7&2,7&0,4&16.10\\14.\ \ 0&13.18,8&9,3&0,1&38.13,9&6,9&0,3&52.54,3&2,6&0,4&16.\ \ 0\\\\14.10&13.28,2&9,4&0,1&38.20,8&6,9&0,3&52.57,0&2,7&0,4&15.50\\14.20&13.37,5&9,3&0,1&38.27,7&6,9&0,3&52.59,6&2,6&0,4&15.40\\14.30&13.46,8&9,3&0,1&38.34,6&6,9&0,3&53.\ \ 2,1&2,5&0,4&15.30\\14.40&13.56,1&9,3&0,1&38.41,4&6,8&0,3&53.\ \ 4,7&2,6&0,4&15.20\\14.50&14.\ \ 5,4&9,3&0,1&38.48,2&6,8&0,3&53.\ \ 7,2&2,5&0,4&15.10\\15.\ \ 0&14.14,7&9,3&0,1&38.55,0&6,8&0,3&53.\ \ 9,7&2,5&0,4&15.\ \ 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}}}