Thus if in the course of a year _either_ the sun passes successively
through the positions A, B, C, D (fig. 38), the earth remaining at rest
at E, _or_ if the sun is at rest and the earth passes successively
through the positions _a_, _b_, _c_, _d_, at the corresponding times,
the sun remaining at rest at S, exactly the same effect is produced
on the eye, provided that the lines _a_ S, _b_ S, _c_ S, _d_ S are,
as in the figure, equal in length and parallel in direction to E
A, E B, E C, E D respectively. The same being true of intermediate
points, exactly the same apparent effect is produced whether the sun
describe the circle A B C D, or the earth describe at the same rate
the equal circle _a b c d_. It will be noticed further that, although
the corresponding motions in the two cases are at the same times in
_opposite_ directions (as at A and _a_), yet each circle as a whole
is described, as indicated by the arrowheads, in the _same_ direction
(contrary to that of the motion of the hands of a clock, in the figures
given). It follows in the same sort of way that an apparent motion (as
of a planet) may be explained as due partially to the motion of the
object, partially to that of the observer.
[Illustration: FIG. 38.—The relative motion of the sun and moon.]
Coppernicus gives the familiar illustration of the passenger in a boat
who sees the land apparently moving away from him, by quoting and
explaining Virgil’s line:—
“Provehimur portu, terræque urbesque recedunt.”
[Illustration: FIG. 39.—The daily rotation of the earth.]
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