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
[Sidenote: Axis of the Moon’s Orbit.]
378. From the Line of Chords § 372 take the Angle of the Moon’s visible
Path with the Ecliptic, _viz._ 5° 38ʹ § 367: and note, that when the
Moon’s Latitude is _North Ascending_, as in the present case, the Chord
of this Angle must be set off to the left hand of the Axis of the
Ecliptic _CH_, as from _H_ to _M_, and the right line _CM_ drawn for the
Axis of the Moon’s Orbit: but when the Moon’s Latitude is _North
Descending_, this Angle and Axis must be set to the right hand, or from
_H_ toward _h_. When the Moon’s Latitude _South Ascending_, the Axis of
her Orbit lies the same way as when her Latitude is _North Ascending_;
and when _South Descending_, the same way as when _North Descending_.
[Sidenote: Path of the Penumbra’s center over the Earth.]
379. Take the Moon’s Latitude, 40ʹ 9ʺ § 367, from the Scale _CA_, and
set it from _C_ to _T_ on the Axis of the Ecliptic; and through _T_, at
right Angles to the Axis of the Moon’s Orbit _CM_, draw the straight
Line _RTS_; which is the Moon’s Path, or Line that the center of her
shadow and Penumbra describes in going over the Earth’s Disc. The Point
_T_ in the Axis of the Ecliptic is the Place where the true Conjunction
of the Sun and Moon falls, according to the Tables; and the Point _W_,
in the Axis of the Moon’s Orbit, is that where the center of the
Penumbra approaches nearest to the center of the Earth’s Disc, and
consequently the middle of the general Eclipse.
[Sidenote: It’s Place on the Earth’s Disc shewn for every minute of it’s
Transit.]
380. Take the Moon’s true Horary Motion from the Sun 27ʹ 50ʺ § 367, from
the Scale _CA_ with your Compasses (every division of the Scale being a
minute of a Degree) and with that extent make marks in the Line of the
Moon’s Path _RTS_: then divide each of these equal spaces by dots into
60 equal parts or horary minutes, and set the hours to every 60th
minute, in such a manner that the dot; signifying the precise minute of
New Moon by the Tables, may fall in the Point _T_ where the Axis of the
Ecliptic cuts the Line of the Moon’s Path; which, in this Eclipse, is
the 25th minute past ten in the Forenoon: and then the other marks will
shew the places on the Earth’s Disc where the center of the Penumbra is,
at the hours and minutes denoted by them, during its transit over the
Earth.
[Sidenote: Middle of the Eclipse.
It’s Phases.]
Public-domain text, read in full here on John Shaqi.
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