supposed to describe a _Periphery_ about that Common Center,
as the Moon describes her Line of _Menstrual_ motion (Of which I have (in
the _Scheme_) onely drawn that of the _Earth_; as being sufficient to our
present purpose; parallel to which, if need be, we may suppose one
described by the Moon; whose distance is also to be supposed much greater
from T than in the _figure_ is expressed, or was necessary to expresse.)
And in like manner E F G H I, from that _New moon_ at E, to the next
_Full-moon_ at I.

[Illustration]

From A to E (from Full moon to New moon,) T moves (in its own _Epicycle_)
upwards from the Sun: And from E to I, (from New moon to Full moon) it
moves downwards, toward the Sun. Again, from C to G, (from last quarter to
the following first quarter,) it moves _forwards according_ to the _Annual_
motion; But from G forward to C, (from the first Quarter to the ensuing
last Quarter,) it moves _contrary_ to the _Annual_ motion.

It is manifest therefore, according to this Hypothesis, that from Last
quarter to First quarter (from C to G, while T is above the Line of the
_Annual_ motion) its _Menstrual_ motion in its Epicycle _adds_ somewhat of
Acceleration to the _Annual_ motion, and most of all at E, the New-moon:
And from the first to the last quarter (from G forward to C, while T is
below the Line of the _Annual_ motion,) it _abates_ of the _Annual_ motion;
and most of all at I, or A the Full-moon.

So that in pursuance of _Galilaeo's_ Notion, the _Menstrual_ {274} adding to
or detracting from the _Annual_ motion, should either leave behinde, or
cast forward, the loose waters incumbent on the Earth, (and thereby cause a
Tide, or accumulation of Waters) and most of all at the Full Moon and
New-moon, where those Accelerations or Retardations are greatest.

Now this _Menstrual_ motion, if nothing else were superadded to the
_Annual_, would give us two Tides in a moneth, and no more; (the one upon
the Acceleration, the other on the Retardation;) at New moon and Full-moon;
and two Ebbs, at the two Quarters; and in the Intervals, Rising and Falling
water.

But the _Diurnal_ motion superadded, doth the same to this _Menstrual_,
which _Galilaeo_ supposeth it to do to the _Annual_; that is, doth _Add_ to,
or _Subtract_ from, the _Menstrual_ Acceleration or Retardation; and so
gives us Tide upon Tide.

[Illustration]

For in whatsoever part of its Epicycle, we suppose T to be; yet because,
while by its _Me