are the same as those of
and
, multiplied by
. On the other hand
and
shall stand to
, and
in the same relation us
and
to
and
. From the relation
, the following equations follow
(C)
|
.
|
and from the relation
we have
(D)
|
|
For the components in the directions perpendicular to
, and to each other, the equations are to be multiplied by
.
Then the following equations follow from the transfermation equations (12), 10), (11) in § 4, when we replace
by
.
,
(E)
|
|
In consideration of the manner in which
enters into these relations, it will be convenient to call the vector
with the components
in the direction of
and
in the directions
perpendicular to
the Convection current. This last vanishes for
.
We remark that for
the equations
immediately lead to the equations
by means of a reciprocal Lorentz-transformation with
as vector; and for
, the equation
leads to
, that the "fundamental equations of Æther" discussed in § 2 becomes in fact the limitting case of the equations obtained here with
.