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
337. By Fig. II it is plain, that the Sun is totally or centrally
eclipsed but to a small part of the Earth at any time; because the dark
conical shadow _e_ of the Moon _M_ falls but on a small part of the
Earth: and that the partial Eclipse is confined at that time to the
space included by the Circle _a 0 b_, of which only one half can be
projected in the Figure, the other half being supposed to be hid by the
convexity of the Earth _E_: and likewise, that no part of the Sun is
eclipsed to the large space _YY_ of the Earth, because the Moon is not
between the Sun and that part of the Earth: and therefore to all that
part the Eclipse is invisible. The Earth turns eastward on its Axis, as
from _g_ to _h_, which is the same way that the Moon’s shadow moves; but
the Moon’s motion is much swifter in her Orbit from _s_ to _t_: and
therefore, altho’ Eclipses of the Sun are of longer duration on account
of the Earth’s motion on its Axis, than they would be if that motion was
stopt, yet in 3 minutes and 13 seconds of time, the Moon’s swifter
motion carries her dark shadow quite over any place that its center
touches at the time of greatest obscuration. The motion of the shadow on
the Earth’s Disc is equal to the Moon’s motion from the Sun, which is
about 30-1/2 minutes of a degree every hour at a mean rate; but so much
of the Moon’s Orbit is equal to 30-1/2 degrees of a great Circle on the
Earth, § 320; and therefore the Moon’s shadow goes 30-1/2 degrees or
1830 geographical miles on the Earth in an hour, or 30-1/2 miles in a
minute, which is almost four times as swift as the motion of a
cannon-ball.
[Sidenote: PLATE XI.
Fig. IV.
Phenomena of the Earth as seen from the Sun or New Moon
at different times of the year.]
Public-domain text, read in full here on John Shaqi.
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