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Joseph Louis de Lagrange - Œuvres, Tome 7.djvu/467
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TABLE IV.
(fin)
{\displaystyle \scriptscriptstyle {\text{(fin)}}}
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 {\quad \ \ \,}}\end{array}}}
25
.
∘
0
′
23
.
′
15
,
″
6
Diff.
Cor.
45
.
′
5
,
″
0
Diff.
Cor.
54
.
′
49
,
″
7
Diff.
Cor.
5
.
∘
0
′
−
−
−
25.10
23.24
,
3
8
,
″
7
0
,
″
2
45.10
,
5
5
,
″
5
0
,
″
3
54.50
,
5
0
,
″
8
0
,
″
4
4.50
25.20
23.33
,
0
8
,
7
0
,
2
45.10
,
0
5
,
5
0
,
3
54.51
,
3
0
,
8
0
,
4
4.40
25.30
23.41
,
7
8
,
7
0
,
2
45.16
,
5
5
,
5
0
,
3
54.52
,
1
0
,
8
0
,
4
4.30
25.40
23.50
,
3
8
,
6
0
,
2
45.21
,
9
5
,
4
0
,
3
54.52
,
8
0
,
7
0
,
4
4.20
25.50
23.59
,
0
8
,
7
0
,
2
45.32
,
3
5
,
4
0
,
3
54.53
,
5
0
,
7
0
,
4
4.10
26.
0
24.
7
,
6
8
,
6
0
,
2
45.37
,
7
5
,
4
0
,
3
54.54
,
2
0
,
7
0
,
4
4.
0
26.10
24.16
,
2
8
,
6
0
,
2
45.43
,
1
5
,
4
0
,
3
54.54
,
9
0
,
7
0
,
4
3.50
26.20
24.24
,
9
8
,
7
0
,
2
45.48
,
4
5
,
3
0
,
3
54.55
,
5
0
,
6
0
,
4
3.40
26.30
24.33
,
5
8
,
6
0
,
2
45.53
,
7
5
,
3
0
,
3
54.56
,
1
0
,
6
0
,
4
3.30
26.40
24.42
,
1
8
,
6
0
,
2
45.59
,
0
5
,
3
0
,
3
54.56
,
7
0
,
6
0
,
4
3.20
26.50
24.50
,
6
8
,
5
0
,
2
46.
4
,
3
5
,
3
0
,
3
54.57
,
2
0
,
5
0
,
4
3.10
27.
0
24.59
,
2
8
,
6
0
,
2
46.
9
,
5
5
,
2
0
,
3
54.57
,
7
0
,
5
0
,
4
3.
0
27.10
25.
7
,
7
8
,
5
0
,
2
46.14
,
7
5
,
2
0
,
3
54.58
,
2
0
,
5
0
,
4
2.50
27.20
25.16
,
3
8
,
6
0
,
2
46.19
,
9
5
,
2
0
,
3
54.58
,
7
0
,
5
0
,
4
2.40
27.30
25.24
,
8
8
,
5
0
,
2
46.25
,
1
5
,
2
0
,
3
54.59
,
1
0
,
4
0
,
4
2.30
27.40
25.33
,
3
8
,
5
0
,
2
46.30
,
2
5
,
1
0
,
3
54.59
,
5
0
,
4
0
,
4
2.20
27.50
25.41
,
8
8
,
5
0
,
2
46.35
,
4
5
,
2
0
,
3
54.59
,
9
0
,
4
0
,
4
2.10
28.
0
25.50
,
3
8
,
5
0
,
2
46.40
,
5
5
,
1
0
,
3
55.
0
,
2
0
,
3
0
,
4
2.
0
28.10
25.58
,
8
8
,
5
0
,
2
46.45
,
5
5
,
0
0
,
3
55.
0
,
6
0
,
4
0
,
4
1.50
28.20
26.
7
,
2
8
,
4
0
,
2
46.50
,
6
5
,
1
0
,
3
55.
0
,
9
0
,
3
0
,
4
1.40
28.30
26.15
,
7
8
,
5
0
,
2
46.55
,
6
5
,
0
0
,
3
55.
1
,
1
0
,
2
0
,
4
1.30
28.40
26.24
,
1
8
,
4
0
,
2
47.
0
,
6
5
,
0
0
,
3
55.
1
,
3
0
,
2
0
,
4
1.20
28.50
26.32
,
5
8
,
4
0
,
2
47.
5
,
6
5
,
0
0
,
3
55.
1
,
6
0
,
3
0
,
4
1.10
29.
0
26.41
,
0
8
,
5
0
,
2
47.10
,
6
5
,
0
0
,
3
55.
1
,
8
0
,
2
0
,
4
1.
0
29.10
26.49
,
3
8
,
3
0
,
2
47.15
,
5
4
,
9
0
,
3
55.
1
,
9
0
,
1
0
,
4
0.50
29.20
26.57
,
7
8
,
4
0
,
2
47.20
,
4
4
,
9
0
,
3
55.
2
,
0
0
,
1
0
,
4
0.40
29.30
27.
6
,
1
8
,
4
0
,
2
47.25
,
3
4
,
9
0
,
3
55.
2
,
1
0
,
1
0
,
4
0.30
29.40
27.14
,
4
8
,
3
0
,
2
47.30
,
2
4
,
9
0
,
3
55.
2
,
2
0
,
1
0
,
4
0.20
29.50
27.22
,
8
8
,
4
0
,
2
47.35
,
0
4
,
8
0
,
3
55.
2
,
2
0
,
0
0
,
4
0.10
30.
0
27.31
,
1
8
,
3
0
,
2
47.39
,
8
4
,
8
0
,
3
55.
2
,
3
0
,
1
0
,
4
0.
0
{\displaystyle {\begin{array}{|r|c|c|c|c|c|c|c|c|c|c|}25{\overset {^{\circ }}{.}}\ \ 0'&23{\overset {'}{.}}15{\overset {''}{,}}6&\scriptstyle {\text{Diff.}}&\scriptstyle {\text{Cor.}}&45{\overset {'}{.}}\ \ 5{\overset {''}{,}}0&\scriptstyle {\text{Diff.}}&\scriptstyle {\text{Cor.}}&54{\overset {'}{.}}49{\overset {''}{,}}7&\scriptstyle {\text{Diff.}}&\scriptstyle {\text{Cor.}}&5{\overset {^{\circ }}{.}}\ \ 0'\\&&&-&&&-&&&-\\25.10&23.24,3&8{\overset {''}{,}}7&0{\overset {''}{,}}2&45.10,5&5{\overset {''}{,}}5&0{\overset {''}{,}}3&54.50,5&0{\overset {''}{,}}8&0{\overset {''}{,}}4&4.50\\25.20&23.33,0&8,7&0,2&45.10,0&5,5&0,3&54.51,3&0,8&0,4&4.40\\25.30&23.41,7&8,7&0,2&45.16,5&5,5&0,3&54.52,1&0,8&0,4&4.30\\25.40&23.50,3&8,6&0,2&45.21,9&5,4&0,3&54.52,8&0,7&0,4&4.20\\25.50&23.59,0&8,7&0,2&45.32,3&5,4&0,3&54.53,5&0,7&0,4&4.10\\26.\ \ 0&24.\ \ 7,6&8,6&0,2&45.37,7&5,4&0,3&54.54,2&0,7&0,4&4.\ \ 0\\\\26.10&24.16,2&8,6&0,2&45.43,1&5,4&0,3&54.54,9&0,7&0,4&3.50\\26.20&24.24,9&8,7&0,2&45.48,4&5,3&0,3&54.55,5&0,6&0,4&3.40\\26.30&24.33,5&8,6&0,2&45.53,7&5,3&0,3&54.56,1&0,6&0,4&3.30\\26.40&24.42,1&8,6&0,2&45.59,0&5,3&0,3&54.56,7&0,6&0,4&3.20\\26.50&24.50,6&8,5&0,2&46.\ \ 4,3&5,3&0,3&54.57,2&0,5&0,4&3.10\\27.\ \ 0&24.59,2&8,6&0,2&46.\ \ 9,5&5,2&0,3&54.57,7&0,5&0,4&3.\ \ 0\\\\27.10&25.\ \ 7,7&8,5&0,2&46.14,7&5,2&0,3&54.58,2&0,5&0,4&2.50\\27.20&25.16,3&8,6&0,2&46.19,9&5,2&0,3&54.58,7&0,5&0,4&2.40\\27.30&25.24,8&8,5&0,2&46.25,1&5,2&0,3&54.59,1&0,4&0,4&2.30\\27.40&25.33,3&8,5&0,2&46.30,2&5,1&0,3&54.59,5&0,4&0,4&2.20\\27.50&25.41,8&8,5&0,2&46.35,4&5,2&0,3&54.59,9&0,4&0,4&2.10\\28.\ \ 0&25.50,3&8,5&0,2&46.40,5&5,1&0,3&55.\ \ 0,2&0,3&0,4&2.\ \ 0\\\\28.10&25.58,8&8,5&0,2&46.45,5&5,0&0,3&55.\ \ 0,6&0,4&0,4&1.50\\28.20&26.\ \ 7,2&8,4&0,2&46.50,6&5,1&0,3&55.\ \ 0,9&0,3&0,4&1.40\\28.30&26.15,7&8,5&0,2&46.55,6&5,0&0,3&55.\ \ 1,1&0,2&0,4&1.30\\28.40&26.24,1&8,4&0,2&47.\ \ 0,6&5,0&0,3&55.\ \ 1,3&0,2&0,4&1.20\\28.50&26.32,5&8,4&0,2&47.\ \ 5,6&5,0&0,3&55.\ \ 1,6&0,3&0,4&1.10\\29.\ \ 0&26.41,0&8,5&0,2&47.10,6&5,0&0,3&55.\ \ 1,8&0,2&0,4&1.\ \ 0\\\\29.10&26.49,3&8,3&0,2&47.15,5&4,9&0,3&55.\ \ 1,9&0,1&0,4&0.50\\29.20&26.57,7&8,4&0,2&47.20,4&4,9&0,3&55.\ \ 2,0&0,1&0,4&0.40\\29.30&27.\ \ 6,1&8,4&0,2&47.25,3&4,9&0,3&55.\ \ 2,1&0,1&0,4&0.30\\29.40&27.14,4&8,3&0,2&47.30,2&4,9&0,3&55.\ \ 2,2&0,1&0,4&0.20\\29.50&27.22,8&8,4&0,2&47.35,0&4,8&0,3&55.\ \ 2,2&0,0&0,4&0.10\\30.\ \ 0&27.31,1&8,3&0,2&47.39,8&4,8&0,3&55.\ \ 2,3&0,1&0,4&0.\ \ 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 {\quad \ \ \ }}\\{\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}}}