Accueil
Au hasard
Se connecter
Configuration
Faire un don
À propos de Wikisource
Avertissements
Rechercher
Page
:
Joseph Louis de Lagrange - Œuvres, Tome 7.djvu/465
Langue
Suivre
Modifier
Le texte de cette page a été
corrigé
et est conforme au fac-similé.
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}}}
15
.
∘
0
′
14
.
′
14
,
″
7
Diff.
Cor.
38
.
′
55
,
″
0
Diff.
Cor.
53
.
′
9
,
″
7
Diff.
Cor.
15
.
∘
0
′
−
−
−
15.10
14.24
,
0
9
,
″
3
0
,
″
1
39.
1
,
8
6
,
″
8
0
,
″
3
53.12
,
2
2
,
″
5
0
,
″
4
14.50
15.20
14.33
,
2
9
,
2
0
,
1
39.
8
,
6
6
,
8
0
,
3
53.12
,
6
2
,
4
0
,
4
14.40
15.30
14.42
,
5
9
,
3
0
,
1
39.15
,
3
6
,
7
0
,
3
53.14
,
1
2
,
5
0
,
4
14.30
15.40
14.51
,
8
9
,
3
0
,
1
39.22
,
1
6
,
8
0
,
3
53.17
,
5
2
,
4
0
,
4
14.20
15.50
15.
1
,
0
9
,
2
0
,
1
39.28
,
8
6
,
7
0
,
3
53.21
,
8
2
,
3
0
,
4
14.10
16.
0
15.10
,
2
9
,
2
0
,
1
39.35
,
4
6
,
6
0
,
3
53.24
,
2
2
,
4
0
,
4
14.
0
16.10
15.19
,
5
9
,
3
0
,
1
39.42
,
1
6
,
7
0
,
3
53.26
,
5
2
,
3
0
,
4
13.50
16.20
15.28
,
7
9
,
2
0
,
1
39.48
,
8
6
,
7
0
,
3
53.28
,
8
2
,
3
0
,
4
13.40
16.30
15.37
,
9
9
,
2
0
,
1
39.55
,
4
6
,
6
0
,
3
53.31
,
0
2
,
2
0
,
4
13.30
16.40
15.47
,
1
9
,
2
0
,
1
40.
2
,
0
6
,
6
0
,
3
53.33
,
2
2
,
2
0
,
4
13.20
16.50
15.56
,
3
9
,
2
0
,
1
40.
8
,
6
6
,
6
0
,
3
53.35
,
4
2
,
2
0
,
4
13.10
17.
0
16.
5
,
5
9
,
2
0
,
1
40.15
,
1
6
,
5
0
,
3
53.37
,
6
2
,
2
0
,
4
13.
0
17.10
16.14
,
7
9
,
2
0
,
1
40.21
,
7
6
,
6
0
,
3
53.39
,
7
2
,
1
0
,
4
12.50
17.20
16.23
,
8
9
,
1
0
,
1
40.28
,
2
6
,
5
0
,
3
53.41
,
9
2
,
2
0
,
4
12.40
17.30
16.33
,
0
9
,
2
0
,
1
40.34
,
7
6
,
5
0
,
3
53.44
,
0
2
,
1
0
,
4
12.30
17.40
16.42
,
2
9
,
2
0
,
1
40.41
,
2
6
,
5
0
,
3
53.46
,
0
2
,
0
0
,
4
12.20
17.50
16.51
,
3
9
,
1
0
,
1
40.47
,
6
6
,
4
0
,
3
53.48
,
1
2
,
1
0
,
4
12.10
18.
0
17.
0
,
4
9
,
1
0
,
1
40.54
,
0
6
,
4
0
,
3
53.50
,
1
2
,
0
0
,
4
12.
0
18.10
17.
9
,
6
9
,
2
0
,
1
41.
0
,
5
6
,
5
0
,
3
53.52
,
1
2
,
0
0
,
4
11.50
18.20
17.18
,
7
9
,
1
0
,
1
41.
6
,
9
6
,
4
0
,
3
53.54
,
0
1
,
9
0
,
4
11.40
18.30
17.27
,
8
9
,
1
0
,
1
41.13
,
2
6
,
3
0
,
3
53.56
,
0
2
,
0
0
,
4
11.30
18.40
17.36
,
9
9
,
1
0
,
1
41.19
,
6
6
,
4
0
,
3
53.57
,
9
1
,
9
0
,
4
11.20
18.50
17.46
,
0
9
,
1
0
,
1
41.25
,
9
6
,
3
0
,
3
53.59
,
7
1
,
8
0
,
4
11.10
19.
0
17.55
,
1
9
,
1
0
,
1
41.32
,
2
6
,
3
0
,
3
54.
1
,
6
1
,
9
0
,
4
11.
0
19.10
18.
4
,
2
9
,
1
0
,
1
41.38
,
5
6
,
3
0
,
3
54.
3
,
4
1
,
8
0
,
4
10.50
19.20
18.13
,
3
9
,
1
0
,
1
41.44
,
8
6
,
3
0
,
3
54.
5
,
2
1
,
8
0
,
4
10.40
19.30
18.22
,
3
9
,
0
0
,
1
41.51
,
1
6
,
3
0
,
3
54.
6
,
9
1
,
7
0
,
4
10.30
19.40
18.31
,
4
9
,
1
0
,
1
41.57
,
3
6
,
2
0
,
3
54.
8
,
7
1
,
8
0
,
4
10.20
19.50
18.40
,
4
9
,
0
0
,
1
42.
3
,
5
6
,
2
0
,
3
54.10
,
4
1
,
7
0
,
4
10.10
20.
0
18.49
,
4
9
,
0
0
,
1
42.
9
,
7
6
,
2
0
,
3
54.12
,
1
1
,
7
0
,
4
10.
0
{\displaystyle {\begin{array}{|r|c|c|c|c|c|c|c|c|c|c|}15{\overset {^{\circ }}{.}}\ \ 0'&14{\overset {'}{.}}14{\overset {''}{,}}7&\scriptstyle {\text{Diff.}}&\scriptstyle {\text{Cor.}}&38{\overset {'}{.}}55{\overset {''}{,}}0&\scriptstyle {\text{Diff.}}&\scriptstyle {\text{Cor.}}&53{\overset {'}{.}}\ \ 9{\overset {''}{,}}7&\scriptstyle {\text{Diff.}}&\scriptstyle {\text{Cor.}}&15{\overset {^{\circ }}{.}}\ \ 0'\\&&&-&&&-&&&-\\15.10&14.24,0&9{\overset {''}{,}}3&0{\overset {''}{,}}1&39.\ \ 1,8&6{\overset {''}{,}}8&0{\overset {''}{,}}3&53.12,2&2{\overset {''}{,}}5&0{\overset {''}{,}}4&14.50\\15.20&14.33,2&9,2&0,1&39.\ \ 8,6&6,8&0,3&53.12,6&2,4&0,4&14.40\\15.30&14.42,5&9,3&0,1&39.15,3&6,7&0,3&53.14,1&2,5&0,4&14.30\\15.40&14.51,8&9,3&0,1&39.22,1&6,8&0,3&53.17,5&2,4&0,4&14.20\\15.50&15.\ \ 1,0&9,2&0,1&39.28,8&6,7&0,3&53.21,8&2,3&0,4&14.10\\16.\ \ 0&15.10,2&9,2&0,1&39.35,4&6,6&0,3&53.24,2&2,4&0,4&14.\ \ 0\\\\16.10&15.19,5&9,3&0,1&39.42,1&6,7&0,3&53.26,5&2,3&0,4&13.50\\16.20&15.28,7&9,2&0,1&39.48,8&6,7&0,3&53.28,8&2,3&0,4&13.40\\16.30&15.37,9&9,2&0,1&39.55,4&6,6&0,3&53.31,0&2,2&0,4&13.30\\16.40&15.47,1&9,2&0,1&40.\ \ 2,0&6,6&0,3&53.33,2&2,2&0,4&13.20\\16.50&15.56,3&9,2&0,1&40.\ \ 8,6&6,6&0,3&53.35,4&2,2&0,4&13.10\\17.\ \ 0&16.\ \ 5,5&9,2&0,1&40.15,1&6,5&0,3&53.37,6&2,2&0,4&13.\ \ 0\\\\17.10&16.14,7&9,2&0,1&40.21,7&6,6&0,3&53.39,7&2,1&0,4&12.50\\17.20&16.23,8&9,1&0,1&40.28,2&6,5&0,3&53.41,9&2,2&0,4&12.40\\17.30&16.33,0&9,2&0,1&40.34,7&6,5&0,3&53.44,0&2,1&0,4&12.30\\17.40&16.42,2&9,2&0,1&40.41,2&6,5&0,3&53.46,0&2,0&0,4&12.20\\17.50&16.51,3&9,1&0,1&40.47,6&6,4&0,3&53.48,1&2,1&0,4&12.10\\18.\ \ 0&17.\ \ 0,4&9,1&0,1&40.54,0&6,4&0,3&53.50,1&2,0&0,4&12.\ \ 0\\\\18.10&17.\ \ 9,6&9,2&0,1&41.\ \ 0,5&6,5&0,3&53.52,1&2,0&0,4&11.50\\18.20&17.18,7&9,1&0,1&41.\ \ 6,9&6,4&0,3&53.54,0&1,9&0,4&11.40\\18.30&17.27,8&9,1&0,1&41.13,2&6,3&0,3&53.56,0&2,0&0,4&11.30\\18.40&17.36,9&9,1&0,1&41.19,6&6,4&0,3&53.57,9&1,9&0,4&11.20\\18.50&17.46,0&9,1&0,1&41.25,9&6,3&0,3&53.59,7&1,8&0,4&11.10\\19.\ \ 0&17.55,1&9,1&0,1&41.32,2&6,3&0,3&54.\ \ 1,6&1,9&0,4&11.\ \ 0\\\\19.10&18.\ \ 4,2&9,1&0,1&41.38,5&6,3&0,3&54.\ \ 3,4&1,8&0,4&10.50\\19.20&18.13,3&9,1&0,1&41.44,8&6,3&0,3&54.\ \ 5,2&1,8&0,4&10.40\\19.30&18.22,3&9,0&0,1&41.51,1&6,3&0,3&54.\ \ 6,9&1,7&0,4&10.30\\19.40&18.31,4&9,1&0,1&41.57,3&6,2&0,3&54.\ \ 8,7&1,8&0,4&10.20\\19.50&18.40,4&9,0&0,1&42.\ \ 3,5&6,2&0,3&54.10,4&1,7&0,4&10.10\\20.\ \ 0&18.49,4&9,0&0,1&42.\ \ 9,7&6,2&0,3&54.12,1&1,7&0,4&10.\ \ 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}}}