Astronomy Explained Upon Sir Isaac Newton's Principles: And made easy to those who have not studied mathematicsFerguson, James
Science
Astronomy Explained Upon Sir Isaac Newton's Principles: And made easy to those who have not studied mathematics
Ferguson, James
Astronomy -- Early works to 1800
perform; for the gold ball might be carried round the Ecliptic by a wire
from it’s north Pole, and the silver ball round the Equator by a wire
from it’s south Pole, with a few wheels to each; which might be easily
added to my improvement of the celestial Globe, described in N^o 483 of
the _Philosophical Transactions_; and of which I shall give a
description in the latter part of this Book, from the 3d Figure of the
3d plate.
[Sidenote: Fig. III.]
232. ’Tis plain that if the Ecliptic were more obliquely posited to the
Equator, as the dotted Circle ♈_x_♎, the equal divisions from ♈ to _x_
would come still sooner to the Meridian _Z0_♈ than those marked _A_,
_B_, _C_, _D_, and _E_ do: for two divisions containing 30 degrees, from
♈ to the second dott, a little short of the figure 1, come sooner to the
Meridian than one division containing only 15 degrees from ♈ to _A_
does, as the Ecliptic now stands; and those of the second quadrant from
_x_ to ♎ would be so much later. The third quadrant would be as the
first, and the fourth as the second. And it is likewise plain, that
where the Ecliptic is most oblique, namely about Aries and Libra, the
difference would be greatest: and least about Cancer and Capricorn,
where the obliquity is least.
[Sidenote: The second part of the Equation of Time.
PLATE VI.]
234. Having explained one cause of the difference of time shewn by a
well-regulated Clock and a true Sun-dial; and considered the Sun, not
the Earth, as moving in the Ecliptic; we now proceed to explain the
other cause of this difference, namely, the inequality of the Sun’s
apparent motion § 205, which is slowest in summer, when the Sun is
farthest from the Earth, and swiftest in winter when he is nearest to
it. But the Earth’s motion on it’s Axis is equable all the year round,
and is performed from west to east; which is the way that the Sun
appears to change his place in the Ecliptic.
235. If the Sun’s motion were equable in the Ecliptic, the whole
difference between the equal time as shewn by a Clock, and the unequal
time as shewn by the Sun, would arise from the obliquity of the
Ecliptic. But the Sun’s motion sometimes exceeds a degree in 24 hours,
though generally it is less: and when his motion is slowest any
particular Meridian will revolve sooner to him than when his motion is
quickest; for it will overtake him in less time when he advances a less
space than when he moves through a larger.
236. Now, if there were two Suns moving in the plane of the Ecliptic, so
as to go round it in a year; the one describing an equal arc every 24
hours, and the other describing sometimes a less arc in 24 hours, and at
other times a larger; gaining at one time of the year what it lost at
the opposite; ’tis evident that either of these Suns would come sooner
or later to the Meridian than the other as it happened to be behind or
before the other: and when they were both in conjunction they would come
to the Meridian at the same moment.
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