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
same point _a_ again in 12 hours more, it has the lowest ebb. In seven
days afterward, the Moon _M_ comes to the equinoctial Circle, and is
over the Equator _EQ_, when both Elevations describe the Equator; and in
both Hemispheres, at equal distances from the Equator, the Tides are
equally high in both parts of the lunar day. The whole Phenomena being
reversed when the Moon has south declination to what they were when her
declination was north, require no farther description.
[Sidenote: Fig. VI.
When both Tides are equally high in the same day, they arrive
at unequal intervals of Time; and _vice versa_.]
305. In the three last-mentioned Figures, the Earth is orthographically
projected on the plane of the Meridian; but in order to describe a
particular Phenomenon we now project it on the plane of the Ecliptic.
Let _HZON_ be the Earth and Sea, _FED_ the Equator, _T_ the Tropic of
Cancer, _C_ the arctic Circle, _P_ the north Pole, and the Curves _1_,
_2_, _3_, _&c._ 24 Meridians, or hour Circles, intersecting each other
in the Poles; _AGM_ is the Moon’s orbit, _S_ the Sun, _M_ the Moon, _Z_
the Water elevated under the Moon, and _N_ the opposite equal Elevation.
As the lowest parts of the Water are always 90 degrees from the highest,
when the Moon is in either of the Tropics (as at _M_) the Elevation _Z_
is on the Tropic of Capricorn, and the opposite Elevation _N_ on the
Tropic of Cancer, the low-water Circle _HCO_ touches the polar Circles
at _C_; and the high-water Circle _ETP6_ goes over the Poles at _P_, and
divides every parallel of Latitude into two equal segments. In this case
the Tides upon every parallel are alternately higher and lower; but they
return in equal times: the point _T_, for example, on the Tropic of
Cancer (where the depth of the Tide is represented by the breadth of the
dark shade) has a shallower Tide of Flood at _T_ than when it revolves
half round from thence to _6_, according to the order of the numeral
Figures; but it revolves as soon from _6_ to _T_ as it did from _T_ to
_6_. When the Moon is in the Equinoctial, the Elevations _Z_ and _N_ are
transferred to the Equator at _O_ and _H_, and the high and low-water
Circles are got into each other’s former places; in which case the Tides
return in unequal times, but are equally high in both parts of the lunar
day: for a place at _1_ (under _D_) revolving as formerly, goes sooner
from _1_ to _11_ (under _F_) than from _11_ to _1_, because the parallel
it describes is cut into unequal segments by the high-water Circle
_HCO_: but the points 1 and 11 being equidistant from the Pole of the
Tides at _C_, which is directly under the Pole of the Moon’s orbit
_MGA_, the Elevations are equally high in both parts of the day.
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