118
Die elektromotorischen Kräfte eldy. Ursprungs für
R
führen,
welches in starrer Verbindung[1] Fig. 9
J
1
D
s
1
.
{\displaystyle J_{1}\mathrm {D} s_{1}.\,}
{\displaystyle \,}
r
(
D
s
1
↣
D
s
)
,
{\displaystyle r\ (\mathrm {D} s_{1}\rightarrowtail \mathrm {D} s),\,}
{\displaystyle \,}
D
s
und
D
s
1
{\displaystyle \mathrm {D} s\ {\text{und}}\ \mathrm {D} s_{1}\,}
u
,
v
,
w
,
{\displaystyle u,v,w,\,}
α
,
β
,
γ
{\displaystyle \alpha ,\beta ,\gamma \,}
α
1
,
β
1
,
γ
1
.
{\displaystyle \alpha _{1},\beta _{1},\gamma _{1}.\,}
(
18.
)
{\displaystyle (18.)\,}
Θ
=
α
u
+
β
v
+
γ
w
,
Θ
1
=
α
1
u
+
β
1
v
+
γ
1
w
,
E
=
α
α
1
+
β
β
1
+
γ
γ
1
,
{\displaystyle {\begin{aligned}\Theta &=\alpha u+\beta v+\gamma w,\\\Theta _{1}&=\alpha _{1}u+\beta _{1}v+\gamma _{1}w,\\\mathrm {E} &=\alpha \alpha _{1}+\beta \beta _{1}+\gamma \gamma _{1},\end{aligned}}\,}
(
19.
)
{\displaystyle (19.)\,}
d
Θ
=
(
α
d
u
+
β
d
v
+
γ
d
w
)
+
(
u
d
α
+
v
d
β
+
w
d
γ
)
,
d
Θ
1
=
α
1
d
u
+
β
1
d
v
+
γ
1
d
w
,
d
E
=
α
1
d
α
+
β
1
d
β
+
γ
1
d
γ
,
0
=
u
d
u
+
v
d
v
+
w
d
w
,
0
=
α
d
α
+
β
d
β
+
γ
d
γ
.
{\displaystyle {\begin{aligned}d\Theta &=(\alpha du+\beta dv+\gamma dw)+(ud\alpha +vd\beta +wd\gamma ),\\d\Theta _{1}&=\alpha _{1}du+\beta _{1}dv+\gamma _{1}dw,\\d\mathrm {E} &=\alpha _{1}d\alpha +\beta _{1}d\beta +\gamma _{1}d\gamma ,\\0&=udu+vdv+wdw,\\0&=\alpha d\alpha +\beta d\beta +\gamma d\gamma .\end{aligned}}\,}
J
1
α
1
D
s
1
,
J
1
β
1
D
s
1
,
J
1
γ
1
D
s
1
{\displaystyle J_{1}\alpha _{1}\mathrm {D} s_{1},J_{1}\beta _{1}\mathrm {D} s_{1},J_{1}\gamma _{1}\mathrm {D} s_{1}\,}
J
1
D
s
1
,
{\displaystyle J_{1}\mathrm {D} s_{1},\,}
ξ
,
η
,
ζ
.
{\displaystyle \xi ,\eta ,\zeta .\,}
Das Stromelement
J
1
D
s
1
{\displaystyle J_{1}\mathrm {D} s_{1}\,}
d
t
{\displaystyle dt\,}
D
s
{\displaystyle \mathrm {D} s\,}
G
d
t
,
{\displaystyle {\mathfrak {G}}dt,\,}
(
20.
)
{\displaystyle (20.)\,}
G
d
t
=
D
s
1
[
J
1
(
K
d
r
+
L
d
Θ
+
M
d
Θ
1
+
N
d
E
)
+
(
d
J
1
)
O
]
,
{\displaystyle {\mathfrak {G}}dt=\mathrm {D} s_{1}[J_{1}(Kdr+Ld\Theta +Md\Theta _{1}+Nd\mathrm {E} )+(dJ_{1})O],\,}
K
,
L
,
M
,
N
,
O
,
{\displaystyle K,L,M,N,O,\,}
(
21.
)
{\displaystyle (21.)\,}
K
=
Θ
⋅
K
(
r
,
Θ
1
)
+
E
⋅
K
I
I
(
r
,
Θ
1
)
,
L
=
Λ
(
r
,
Θ
1
)
,
M
=
Θ
⋅
M
(
r
,
Θ
1
)
+
E
⋅
M
I
I
(
r
,
Θ
1
)
,
N
=
N
(
r
,
Θ
1
)
,
O
=
Θ
⋅
Ω
(
r
,
Θ
1
)
+
E
⋅
Ω
I
I
(
r
,
Θ
1
)
.
{\displaystyle {\begin{aligned}K&=\Theta \cdot \mathrm {K} \ (r,\Theta _{1})+\mathrm {E} \cdot {\overset {\mathrm {II} }{\mathrm {K} }}\ (r,\Theta _{1}),\quad &L&=\Lambda \ (r,\Theta _{1}),\\M&=\Theta \cdot \mathrm {M} \ (r,\Theta _{1})+\mathrm {E} \cdot {\overset {\mathrm {II} }{\mathrm {M} }}\ (r,\Theta _{1}),\quad &N&=\mathrm {N} \ (r,\Theta _{1}),\\O&=\Theta \cdot \Omega \ (r,\Theta _{1})+\mathrm {E} \cdot {\overset {\mathrm {II} }{\Omega }}\ (r,\Theta _{1}).\end{aligned}}\,}
neuen Stromelemente
J
1
α
1
D
s
1
,
J
1
β
1
D
s
1
,
J
1
γ
1
D
s
1
,
{\displaystyle J_{1}\alpha _{1}\mathrm {D} s_{1},J_{1}\beta _{1}\mathrm {D} s_{1},J_{1}\gamma _{1}\mathrm {D} s_{1},\,}
gegebenen Stromelementes
J
1
D
s
1
,
{\displaystyle J_{1}\mathrm {D} s_{1},\,}
allein betrachtet, während der Zeit
d
t
{\displaystyle dt\,}
D
s
;
{\displaystyle \mathrm {D} s;\,}
D
s
,
{\displaystyle \mathrm {D} s,\,}
G
ξ
d
t
,
G
η
d
t
,
G
ζ
d
t
.
{\displaystyle {\mathfrak {G}}^{\xi }dt,{\mathfrak {G}}^{\eta }dt,{\mathfrak {G}}^{\zeta }dt.\,}
↑ Diese starre Verbindung ist angedeutet in der beistehenden Figur (vergl. die Note auf pag. 115).
![{\displaystyle {\mathfrak {G}}dt=\mathrm {D} s_{1}[J_{1}(Kdr+Ld\Theta +Md\Theta _{1}+Nd\mathrm {E} )+(dJ_{1})O],\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/6fc406c419e3d38f01617594c6e0aa18412ec891)
