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Joseph Louis de Lagrange - Œuvres, Tome 7.djvu/462
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TABLE IV.
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}}}
0
.
∘
0
′
0
.
′
0
,
″
0
Diff.
Cor.
27
.
′
31
,
″
1
Diff.
Cor.
47
.
′
39
,
″
8
Diff.
Cor.
30
.
∘
0
′
−
−
−
0.10
0.
9
,
6
9
,
″
6
0
,
″
0
27.39
,
4
8
,
″
3
0
,
″
2
47.44
,
6
4
,
″
8
0
,
″
3
29.50
0.20
0.19
,
2
9
,
6
0
,
0
27.47
,
7
8
,
3
0
,
2
47.49
,
4
4
,
8
0
,
3
29.40
0.30
0.28
,
8
9
,
6
0
,
0
27.56
,
0
8
,
3
0
,
2
47.54
,
1
4
,
7
0
,
3
29.30
0.40
0.38
,
4
9
,
6
0
,
0
28.
4
,
3
8
,
3
0
,
2
47.58
,
8
4
,
7
0
,
3
29.20
0.50
0.48
,
0
9
,
6
0
,
0
28.12
,
5
8
,
2
0
,
2
48.
3
,
5
4
,
7
0
,
3
29.10
1.
0
0.57
,
6
9
,
6
0
,
0
28.20
,
8
8
,
3
0
,
2
48.
8
,
2
4
,
7
0
,
3
29.
0
1.10
1.
7
,
2
9
,
6
0
,
0
28.29
,
0
8
,
2
0
,
2
48.12
,
9
4
,
7
0
,
4
28.50
1.20
1.16
,
8
9
,
6
0
,
0
28.37
,
2
8
,
2
0
,
2
48.17
,
5
4
,
6
0
,
4
28.40
1.30
1.26
,
4
9
,
6
0
,
0
28.45
,
4
8
,
2
0
,
2
48.22
,
1
4
,
6
0
,
4
28.30
1.40
1.36
,
0
9
,
6
0
,
0
28.53
,
6
8
,
2
0
,
2
48.26
,
6
4
,
5
0
,
4
28.20
1.50
1.45
,
6
9
,
6
0
,
0
29.
1
,
8
8
,
2
0
,
2
48.31
,
2
4
,
6
0
,
4
28.10
2.
0
1.55
,
2
9
,
6
0
,
0
29.
9
,
9
8
,
1
0
,
2
48.35
,
7
4
,
5
0
,
4
28.
0
2.10
2.
4
,
8
9
,
6
0
,
0
29.18
,
1
8
,
2
0
,
2
48.40
,
2
4
,
5
0
,
4
27.50
2.20
2.14
,
4
9
,
6
0
,
0
29.25
,
2
8
,
1
0
,
2
48.44
,
7
4
,
5
0
,
4
27.40
2.30
2.24
,
0
9
,
6
0
,
0
29.33
,
3
8
,
1
0
,
2
48.49
,
1
4
,
4
0
,
4
27.30
2.40
2.33
,
6
9
,
6
0
,
0
29.42
,
4
8
,
1
0
,
2
48.53
,
6
4
,
5
0
,
4
27.20
2.50
2.43
,
2
9
,
6
0
,
0
29.50
,
5
8
,
1
0
,
2
48.57
,
9
4
,
3
0
,
4
27.10
3.
0
2.52
,
8
9
,
6
0
,
0
29.58
,
5
8
,
0
0
,
2
49.
2
,
3
4
,
4
0
,
4
27.
0
3.10
3.
2
,
4
9
,
6
0
,
0
30.
6
,
6
8
,
1
0
,
2
49.
6
,
7
4
,
4
0
,
4
26.50
3.20
3.12
,
0
9
,
6
0
,
0
30.14
,
6
8
,
0
0
,
2
49.11
,
0
4
,
3
0
,
4
26.40
3.30
3.21
,
6
9
,
6
0
,
0
30.22
,
6
8
,
0
0
,
2
49.15
,
3
4
,
3
0
,
4
26.30
3.40
3.31
,
2
9
,
6
0
,
0
30.30
,
6
8
,
0
0
,
2
49.19
,
6
4
,
3
0
,
4
26.20
3.50
3.40
,
8
9
,
6
0
,
0
30.38
,
6
8
,
0
0
,
2
49.23
,
8
4
,
2
0
,
4
26.10
4.
0
3.50
,
3
9
,
5
0
,
0
30.46
,
6
8
,
0
0
,
2
49.28
,
0
4
,
2
0
,
4
26.
0
4.10
3.59
,
9
9
,
6
0
,
0
30.54
,
6
8
,
0
0
,
2
49.32
,
2
4
,
2
0
,
4
25.50
4.20
4.
9
,
5
9
,
6
0
,
0
31.
2
,
5
7
,
9
0
,
2
49.36
,
4
4
,
2
0
,
4
25.40
4.30
4.19
,
1
9
,
6
0
,
0
31.10
,
4
7
,
9
0
,
2
49.40
,
6
4
,
2
0
,
4
25.30
4.40
4.28
,
7
9
,
6
0
,
0
31.18
,
3
7
,
9
0
,
2
49.44
,
7
4
,
1
0
,
4
25.20
4.50
4.38
,
2
9
,
5
0
,
0
31.26
,
2
7
,
9
0
,
2
49.48
,
8
4
,
1
0
,
4
25.10
5.
0
4.47
,
8
9
,
6
0
,
0
31.34
,
1
7
,
9
0
,
2
49.52
,
8
4
,
0
0
,
4
25.
0
{\displaystyle {\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|}0{\overset {^{\circ }}{.}}\ \ 0'&0{\overset {'}{.}}\ \ 0{\overset {''}{,}}0&\scriptstyle {\text{Diff.}}&\scriptstyle {\text{Cor.}}&27{\overset {'}{.}}31{\overset {''}{,}}1&\scriptstyle {\text{Diff.}}&\scriptstyle {\text{Cor.}}&47{\overset {'}{.}}39{\overset {''}{,}}8&\scriptstyle {\text{Diff.}}&\scriptstyle {\text{Cor.}}&30{\overset {^{\circ }}{.}}\ \ 0'\\&&&-&&&-&&&-\\0.10&0.\ \ 9,6&9{\overset {''}{,}}6&0{\overset {''}{,}}0&27.39,4&8{\overset {''}{,}}3&0{\overset {''}{,}}2&47.44,6&4{\overset {''}{,}}8&0{\overset {''}{,}}3&29.50\\0.20&0.19,2&9,6&0,0&27.47,7&8,3&0,2&47.49,4&4,8&0,3&29.40\\0.30&0.28,8&9,6&0,0&27.56,0&8,3&0,2&47.54,1&4,7&0,3&29.30\\0.40&0.38,4&9,6&0,0&28.\ \ 4,3&8,3&0,2&47.58,8&4,7&0,3&29.20\\0.50&0.48,0&9,6&0,0&28.12,5&8,2&0,2&48.\ \ 3,5&4,7&0,3&29.10\\1.\ \ 0&0.57,6&9,6&0,0&28.20,8&8,3&0,2&48.\ \ 8,2&4,7&0,3&29.\ \ 0\\\\1.10&1.\ \ 7,2&9,6&0,0&28.29,0&8,2&0,2&48.12,9&4,7&0,4&28.50\\1.20&1.16,8&9,6&0,0&28.37,2&8,2&0,2&48.17,5&4,6&0,4&28.40\\1.30&1.26,4&9,6&0,0&28.45,4&8,2&0,2&48.22,1&4,6&0,4&28.30\\1.40&1.36,0&9,6&0,0&28.53,6&8,2&0,2&48.26,6&4,5&0,4&28.20\\1.50&1.45,6&9,6&0,0&29.\ \ 1,8&8,2&0,2&48.31,2&4,6&0,4&28.10\\2.\ \ 0&1.55,2&9,6&0,0&29.\ \ 9,9&8,1&0,2&48.35,7&4,5&0,4&28.\ \ 0\\\\2.10&2.\ \ 4,8&9,6&0,0&29.18,1&8,2&0,2&48.40,2&4,5&0,4&27.50\\2.20&2.14,4&9,6&0,0&29.25,2&8,1&0,2&48.44,7&4,5&0,4&27.40\\2.30&2.24,0&9,6&0,0&29.33,3&8,1&0,2&48.49,1&4,4&0,4&27.30\\2.40&2.33,6&9,6&0,0&29.42,4&8,1&0,2&48.53,6&4,5&0,4&27.20\\2.50&2.43,2&9,6&0,0&29.50,5&8,1&0,2&48.57,9&4,3&0,4&27.10\\3.\ \ 0&2.52,8&9,6&0,0&29.58,5&8,0&0,2&49.\ \ 2,3&4,4&0,4&27.\ \ 0\\\\3.10&3.\ \ 2,4&9,6&0,0&30.\ \ 6,6&8,1&0,2&49.\ \ 6,7&4,4&0,4&26.50\\3.20&3.12,0&9,6&0,0&30.14,6&8,0&0,2&49.11,0&4,3&0,4&26.40\\3.30&3.21,6&9,6&0,0&30.22,6&8,0&0,2&49.15,3&4,3&0,4&26.30\\3.40&3.31,2&9,6&0,0&30.30,6&8,0&0,2&49.19,6&4,3&0,4&26.20\\3.50&3.40,8&9,6&0,0&30.38,6&8,0&0,2&49.23,8&4,2&0,4&26.10\\4.\ \ 0&3.50,3&9,5&0,0&30.46,6&8,0&0,2&49.28,0&4,2&0,4&26.\ \ 0\\\\4.10&3.59,9&9,6&0,0&30.54,6&8,0&0,2&49.32,2&4,2&0,4&25.50\\4.20&4.\ \ 9,5&9,6&0,0&31.\ \ 2,5&7,9&0,2&49.36,4&4,2&0,4&25.40\\4.30&4.19,1&9,6&0,0&31.10,4&7,9&0,2&49.40,6&4,2&0,4&25.30\\4.40&4.28,7&9,6&0,0&31.18,3&7,9&0,2&49.44,7&4,1&0,4&25.20\\4.50&4.38,2&9,5&0,0&31.26,2&7,9&0,2&49.48,8&4,1&0,4&25.10\\5.\ \ 0&4.47,8&9,6&0,0&31.34,1&7,9&0,2&49.52,8&4,0&0,4&25.\ \ 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}}}