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Annales de mathématiques pures et appliquées, 1830-1831, Tome 21.djvu/156
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x
=
0
m
,
00
,
u
=
10
∘
,
00
,
d
u
d
x
=
−
0
,
53
,
x
=
0
,
25
,
u
=
9
,
13
,
d
u
d
x
=
−
0
,
24
,
x
=
0
,
50
,
u
=
8
,
71
,
d
u
d
x
=
−
0
,
12
,
x
=
0
,
75
,
u
=
8
,
56
,
d
u
d
x
=
−
0
,
03
,
x
=
1
,
00
,
u
=
8
,
53
,
d
u
d
x
=
∓
0
,
00
,
x
=
1
,
25
,
u
=
8
,
56
,
d
u
d
x
=
+
0
,
03
,
x
=
1
,
50
,
u
=
8
,
71
,
d
u
d
x
=
+
0
,
12
,
x
=
1
,
75
,
u
=
9
,
13
,
d
u
d
x
=
+
0
,
24
,
x
=
2
,
00
,
u
=
10
,
00
,
d
u
d
x
=
+
0
,
53.
{\displaystyle {\begin{alignedat}{3}x=&0^{m}{,}00,&\quad u=&10^{\circ }{,}00,&\quad {\frac {\operatorname {d} u}{\operatorname {d} x}}=&-0{,}53,\\\\x=&0{,}25,&u=&9{,}13,&{\frac {\operatorname {d} u}{\operatorname {d} x}}=&-0{,}24,\\\\x=&0{,}50,&u=&8{,}71,&{\frac {\operatorname {d} u}{\operatorname {d} x}}=&-0{,}12,\\\\x=&0{,}75,&u=&8{,}56,&{\frac {\operatorname {d} u}{\operatorname {d} x}}=&-0{,}03,\\\\x=&1{,}00,&u=&8{,}53,&{\frac {\operatorname {d} u}{\operatorname {d} x}}=&\mp 0{,}00,\\\\x=&1{,}25,&u=&8{,}56,&{\frac {\operatorname {d} u}{\operatorname {d} x}}=&+0{,}03,\\\\x=&1{,}50,&u=&8{,}71,&{\frac {\operatorname {d} u}{\operatorname {d} x}}=&+0{,}12,\\\\x=&1{,}75,&u=&9{,}13,&{\frac {\operatorname {d} u}{\operatorname {d} x}}=&+0{,}24,\\\\x=&2{,}00,&u=&10{,}00,&{\frac {\operatorname {d} u}{\operatorname {d} x}}=&+0{,}53.\end{alignedat}}}
La formule générale est
u
=
10.
u
x
1,172
.
{\displaystyle u={\frac {10.u_{x}}{1{,}172}}.}
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