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
334. The Moon’s dark shadow covers only a spot on the Earth’s surface,
about 180 _English_ miles broad, when the Moon’s diameter appears
largest and the Sun’s least; and the total darkness can extend no
farther than the dark shadow covers. Yet the Moon’s partial Shadow or
Penumbra may then cover a circular space 4900 miles in diameter, within
all which the Sun is more or less eclipsed as the places are less or
more distant from the Center of the Penumbra. When the Moon changes
exactly in the Node, the Penumbra is circular on the Earth at the middle
of the general Eclipse; because at that time it falls perpendicularly on
the Earth’s surface: But at every other moment it falls obliquely, and
will therefore be elliptical; and the more so, as the time is longer
before or after the middle of the general Eclipse; and then, much
greater portions of the Earth’s surface are involved in the Penumbra.
[Sidenote: Duration of general and particular Eclipses.
The Moon’s dark shadow.
And Penumbra.]
335. When the Penumbra first touches the Earth the general Eclipse
begins: when it leaves the Earth the general Eclipse ends: from the
beginning to the end the Sun appears eclipsed in some part of the Earth
or other. When the Penumbra touches any place the Eclipse begins at that
place, and ends when the Penumbra leaves it. When the Moon changes in
the Node, the Penumbra goes over the center of the Earth’s Disc as seen
from the Moon; and consequently, by describing the longest line possible
on the Earth, continues the longest upon it; namely, at a mean rate, 5
hours 50 minutes: more, if the Moon be at her greatest distance from the
Earth, because she then moves slowest; less, if she be at her least
distance, because of her quicker motion.
[Sidenote: Fig. II.]
Public-domain text, read in full here on John Shaqi.
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