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Joseph Louis de Lagrange - Œuvres, Tome 7.djvu/86
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2
{
1
1
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1
…
1
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{\displaystyle \ \ {\sqrt {2}}\left\{{\begin{array}{lllll}1&1&1&1&\ldots \\1&2&2&2&\ldots \end{array}}\right.}
3
{
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1
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2
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{\displaystyle \ \ {\sqrt {3}}\left\{{\begin{array}{llllllll}1&2&1&2&1&2&1&\ldots \\1&1&2&1&2&1&2\end{array}}\right.}
5
{
1
1
1
1
…
2
4
4
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{\displaystyle \ \ {\sqrt {5}}\left\{{\begin{array}{lllll}1&1&1&1&\ldots \\2&4&4&4&\ldots \end{array}}\right.}
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{
1
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1
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{\displaystyle \ \ {\sqrt {6}}\left\{{\begin{array}{llllllll}1&2&1&2&1&2&1&\ldots \\2&2&4&2&4&2&4&\ldots \end{array}}\right.}
7
{
1
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3
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3
1
…
2
1
1
1
4
1
1
1
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…
{\displaystyle \ \ {\sqrt {7}}\left\{{\begin{array}{llllllllll}1&3&2&3&1&3&2&3&1&\ldots \\2&1&1&1&4&1&1&1&4&\ldots \end{array}}\right.}
8
{
1
4
1
4
1
4
1
…
2
1
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1
4
1
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{\displaystyle \ \ {\sqrt {8}}\left\{{\begin{array}{llllllll}1&4&1&4&1&4&1&\ldots \\2&1&4&1&4&1&4&\ldots \end{array}}\right.}
10
{
1
1
1
1
…
3
6
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{\displaystyle {\sqrt {10}}\left\{{\begin{array}{lllll}1&1&1&1&\ldots \\3&6&6&6&\ldots \end{array}}\right.}
11
{
1
2
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1
2
1
…
3
3
6
3
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3
6
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{\displaystyle {\sqrt {11}}\left\{{\begin{array}{llllllll}1&2&1&2&1&2&1&\ldots \\3&3&6&3&6&3&6&\ldots \end{array}}\right.}
12
{
1
3
1
3
1
3
1
…
3
2
6
2
6
2
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{\displaystyle {\sqrt {12}}\left\{{\begin{array}{llllllll}1&3&1&3&1&3&1&\ldots \\3&2&6&2&6&2&6&\ldots \end{array}}\right.}
13
{
1
4
3
3
4
1
4
3
3
4
1
…
3
1
1
1
1
6
1
1
1
1
6
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{\displaystyle {\sqrt {13}}\left\{{\begin{array}{llllllllllll}1&4&3&3&4&1&4&3&3&4&1&\ldots \\3&1&1&1&1&6&1&1&1&1&6&\ldots \end{array}}\right.}
14
{
1
5
2
5
1
5
2
5
1
…
3
1
2
1
6
1
2
1
6
…
{\displaystyle {\sqrt {14}}\left\{{\begin{array}{llllllllll}1&5&2&5&1&5&2&5&1&\ldots \\3&1&2&1&6&1&2&1&6&\ldots \end{array}}\right.}
15
{
1
6
1
6
1
6
1
…
3
1
6
1
6
1
6
…
{\displaystyle {\sqrt {15}}\left\{{\begin{array}{llllllll}1&6&1&6&1&6&1&\ldots \\3&1&6&1&6&1&6&\ldots \end{array}}\right.}
17
{
1
1
1
1
1
…
4
8
8
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{\displaystyle {\sqrt {17}}\left\{{\begin{array}{llllll}1&1&1&1&1&\ldots \\4&8&8&8&8&\ldots \end{array}}\right.}
18
{
1
2
1
2
1
2
1
2
1
…
4
4
8
4
8
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8
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8
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{\displaystyle {\sqrt {18}}\left\{{\begin{array}{llllllllll}1&2&1&2&1&2&1&2&1&\ldots \\4&4&8&4&8&4&8&4&8&\ldots \end{array}}\right.}
19
{
1
3
5
2
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3
1
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5
2
5
3
1
…
4
2
1
3
1
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8
2
1
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{\displaystyle {\sqrt {19}}\left\{{\begin{array}{llllllllllllll}1&3&5&2&5&3&1&3&5&2&5&3&1&\ldots \\4&2&1&3&1&2&8&2&1&3&1&2&8&\ldots \end{array}}\right.}
20
{
1
4
1
4
1
4
1
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1
…
4
2
8
2
8
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{\displaystyle {\sqrt {20}}\left\{{\begin{array}{llllllllll}1&4&1&4&1&4&1&4&1&\ldots \\4&2&8&2&8&2&8&2&8&\ldots \end{array}}\right.}
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{
1
5
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1
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4
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1
…
4
1
1
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1
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8
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1
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1
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{\displaystyle {\sqrt {21}}\left\{{\begin{array}{llllllllllllll}1&5&4&3&4&5&1&5&4&3&4&5&1&\ldots \\4&1&1&2&1&1&8&1&1&2&1&1&8&\ldots \end{array}}\right.}
22
{
1
6
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2
3
6
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6
3
2
3
6
1
…
4
1
2
4
2
1
8
1
2
4
2
1
8
…
{\displaystyle {\sqrt {22}}\left\{{\begin{array}{llllllllllllll}1&6&3&2&3&6&1&6&3&2&3&6&1&\ldots \\4&1&2&4&2&1&8&1&2&4&2&1&8&\ldots \end{array}}\right.}
