the Moon and Sun; neer, in a word, at the time of its conjun <lb/>
ction and change; remote, in its Full and Oppo&longs;ition; and the <lb/>
greate&longs;t vicinity differ the quantity of the Diameter of the Lu <lb/>
nar Orb. </s><s>Now if it be true that the virtue which moveth the <lb/>
Earth and Moon, about the Sun, be alwayes maintained in <lb/>
the &longs;ame vigour; and if it be true that the &longs;ame moveable <lb/>
moved by the &longs;ame virtue, but in circles unequal, do in &longs;horter <lb/>
times pa&longs;&longs;e like arches of le&longs;&longs;er circles, it mu&longs;t needs be granted, <lb/>
that the Moon when it is at a le&longs;&longs;e di&longs;tance from the Sun, that is <lb/>
in the time of conjunction, pa&longs;&longs;eth greater arches of the Grand <lb/>
Orb, than when it is at a greater di&longs;tance, that is in its Oppp&longs;ition <lb/>
and Full. </s><s>And this Lunar inequality mu&longs;t of nece&longs;&longs;ity be imparted <lb/>
to the Earth al&longs;o; for if we &longs;hall &longs;uppo&longs;e a right line produced from <lb/>
the centre of the Sun by the centre of the Terre&longs;trial Globe, and <lb/>
prolonged as far as the Orb of the Moon, this &longs;hall be the &longs;emi <lb/>
diameter of the Grand Orb, in which the Earth, in ca&longs;e it were <lb/>
alone, would move uniformly, but if in the &longs;ame &longs;emidiameter we <lb/>
&longs;hould place another body to be carried about, placing it one <lb/>
while between the Earth and Sun, and another while beyond <lb/>
the Earth, at a greater di&longs;tance from the Sun, it is nece&longs;&longs;ary, <lb/>
that in this &longs;econd ca&longs;e the motion common to both, according <lb/>
to the circumference of the great Orb by means of the di&longs;tance <lb/>
of the Moon, do prove a little &longs;lower than in the other ca&longs;e, <lb/>
when the Moon is between the Earth and Sun, that is at a le&longs;&longs;er <lb/>
di&longs;tance. </s><s>So that in this bu&longs;ine&longs;&longs;e the very &longs;ame happeneth that <lb/>
befals in the time of the clock; that lead which is placed one <lb/>
while farther &longs;rom the centre, to make the vibrations of the <lb/>
&longs;taffe or ballance le&longs;&longs;e frequent, and another while nearer, to <lb/>
make them thicker, repre&longs;enting the Moon. </s><s>Hence it may be <lb/>
manife&longs;t, that the annual motion of the Earth in the Grand <lb/>
Orb, and under the Ecliptick, is not uniform, and that its ir <lb/>
regularity proceedeth from the Moon, and hath its Monethly <lb/>
Periods and Returns. </s><s>And becau&longs;e it hath been concluded, that <lb/>
the Monethly and Annual Periodick alterations of the ebbings <lb/>
and flowings, cannot be deduced from any other cau&longs;e than <lb/>
from the altered proportion between the annual motion and the <lb/>
additions and &longs;ub&longs;tractions of the diurnal conver&longs;ion; and that <lb/>
tho&longs;e alterations might be made two wayes, that is by altering <lb/>
the annual motion, keeping the quantity of the additions un <lb/>
altered, or by changing of the bigne&longs;&longs;e of the&longs;e, reteining the <lb/>
uniformity of annual motion. </s><s>We have already found the fir&longs;t <lb/>
of the&longs;e, depending on the irregularity of the annual motion <lb/>
occa&longs;ioned by the Moon, and which hath its Monethly Periods. <lb/>
</s><s>It is therefore nece&longs;&longs;ary, that upon that account the ebbings <lb/>
and flowings have a Monethly Period in which they do grow