ted by Prof. Faraday to denote the mode in which bodies
are carried along by an electrical current.
[5] Ottawa, Ill.
[6] The principal cause of these waves is, no doubt, due to the
vortices, and the eastern progress of the waves due to the rotating
ether; but, at present, it will not be necessary to separate these
effects.
[7] The inner vortex may reach as high as 83d when the moon's orbit is
favorably situated.
[8] The curvature of the earth is more than 10 miles in a distance of
300 miles.
[9] In middle latitudes.
SECTION SECOND.
MECHANICAL ACTION OF THE MOON.
We will now proceed to give the method of determining the latitude of
the axis of the vortex, at the time of its passage over any given
meridian, and at any given time. And afterwards we will give a brief
abstract from the record of the weather, for one sidereal period of the
moon, in order to compare the theory with observation.
[Illustration: Fig. 4]
In the above figure, the circle PER represents the earth, E the equator,
PP' the poles, T the centre of the earth, C the mechanical centre of the
terral vortex, M the moon, XX' the axis of the vortex, and A the point
where the radius vector of the moon pierces the surface of the earth. If
we consider the axis of the vortex to be the axis of equilibrium in the
system, it is evident that TC will be to CM, as the mass of the moon to
the mass of the earth. Now, if we take these masses respectively as 1 to
72.3, and the moon's mean distance at 238,650 miles, the mean value of
TC is equal to this number, divided by the sum of these masses,--_i.e._
the mean radius vector of the little orbit, described by the earth's
centre around the centre of gravity of the earth and moon, is equal
238650/(72.3+1) = 3,256 miles; and at any other distance of the moon, is
equal to that distance, divided by the same sum. Therefore, by taking CT
in the inverse ratio of the mean semi-diameter of the moon to the true
semi-diameter, we shall have the value of CT at that time. But TA is to
TC as radius to the cosine of the arc AR, and RR' are the points on the
earth's surface pierced by the axis of the vortex, supposing this axis
coincident with the pole of the lunar orbit. If this were so, the
calculation would be very short and simple; and it will, perhaps,
facilitate the investigation, by considering, for the present, that the
two axes do coincide.
In order, also, to simplify the question, we will consider t
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