on other different concomitant cau&longs;es, although they ought all <lb/>
to have connexion with the primary; therefore it is convenient <lb/>
that we propound and examine the &longs;everal accidents that may <lb/>
be the cau&longs;es of &longs;uch different effects.</s>

<s><margin.target id="marg753"></margin.target><emph type="italics"/>Demon&longs;trations <lb/>
how the parts of <lb/>
the terre&longs;triall <lb/>
Globe accelerats <lb/>
and ratard.<emph.end type="italics"/></s>

<s><margin.target id="marg754"></margin.target><emph type="italics"/>The parts of a <lb/>
Circle regularly <lb/>
moved about its <lb/>
own centre move in <lb/>
divers times with <lb/>
contrary motions.<emph.end type="italics"/></s>

<s><margin.target id="marg755"></margin.target><emph type="italics"/>The mixture of <lb/>
the two motions <lb/>
annnal and diur <lb/>
nal, cau&longs;eth the <lb/>
inequality in the <lb/>
motion of the parts <lb/>
of the terre&longs;trial <lb/>
Globe.<emph.end type="italics"/></s>

<s><margin.target id="marg756"></margin.target><emph type="italics"/>The mo&longs;t potent <lb/>
and primary cau&longs;e <lb/>
of the ebbing and <lb/>
flowing.<emph.end type="italics"/></s>

<s>The fir&longs;t of which is, that when ever the water, by means of a <lb/>
<arrow.to.target n="marg757"></arrow.to.target> <lb/>
notable retardation or acceleration of the motion of the Ve&longs;&longs;el, <lb/>
its container, &longs;hall have acquired a cau&longs;e of running towards this <lb/>
<arrow.to.target n="marg758"></arrow.to.target> <lb/>
or that extream, and &longs;hall be rai&longs;ed in the one, and abated in the <lb/>
<arrow.to.target n="marg759"></arrow.to.target> <lb/>
other, it &longs;hall not neverthele&longs;&longs;e continue, for any time in that <lb/>
&longs;tate, when once the primary cau&longs;e is cea&longs;ed: but by vertue of <lb/>
its own gravity and natural inclination to level and grow, even it <lb/>
&longs;hall &longs;peedily return backwards of its own accord, and, as being <lb/>
grave and fluid, &longs;hall not only move towards <emph type="italics"/>Æquilibrium<emph.end type="italics"/>; but <lb/>
being impelled by its own <emph type="italics"/>impetus,<emph.end type="italics"/> &longs;hall go beyond it, ri&longs;ing in <lb/>
the part, where before it was lowe&longs;t; nor &longs;hall it &longs;tay here, but <lb/>
returning backwards anew, with more reiterated reciprocations of <lb/>
its undulations, it &longs;hall give us to know, that it will not from a <lb/>
velocity of motion, once conceived, reduce it &longs;elf, in an in&longs;tant, <lb/>
to the privation thereof, and to the &longs;tate of re&longs;t, but will &longs;ucce&longs; <lb/>
&longs;ively, by decrea&longs;ing a little and a little, reduce it &longs;elf unto the <lb/>
&longs;ame, ju&longs;t in the &longs;ame manner as we &longs;ee a weight hanging at a <lb/>
cord, after it hath been once removed from its &longs;tate of re&longs;t, that <lb/>
is, from its perpendicularity, of its own accord, to return thither <lb/>
and &longs;ettle it &longs;elf, but not till &longs;uch time as it &longs;hall have often <lb/>
pa&longs;t to one &longs;ide, and to the other, with its reciprocall vi <lb/>
brations.</s>

<s><margin.target id="marg757"></margin.target><emph type="italics"/>Sundry accidents <lb/>
that happen in the <lb/>
ebbings & flowings<emph.end type="italics"/></s>

<s><margin.target id="marg758"></margin.target><emph type="italics"/>The first acci <lb/>
dent.<emph.end type="italics"/></s>

<s><margin.target id="marg759"></margin.target><emph type="italics"/>The Water rai <lb/>
&longs;ed in one end of <lb/>
the Ve&longs;&longs;el return <lb/>
eth of its &longs;elf to<emph.end type="italics"/> <lb/>
Æquilibrium.</s>

<s>The &longs;econd accident to be ob&longs;erved is, that the before <lb/>
<arrow.to.target n="marg760"></arrow.to.target> <lb/>
declared reciprocations of motion come to be made and repeated <lb/>
with greater or le&longs;&longs;er frequency, that is, under &longs;horter or longer <lb/>
times, according to the different lengths of the Ve&longs;&longs;els contain <lb/>
ing the waters; &longs;o that in the &longs;horter &longs;paces the reciprocati <lb/>
ons are more frequent, and in the longer more rare: ju&longs;t as in <lb/>
the former example of pendent bodies, the vibrations of tho&longs;e <lb/>
that are hanged to longer cords are &longs;een to be le&longs;&longs;e frequent, <lb/>
than tho&longs;e of them that hang at &longs;horter &longs;trings.</s>

<s><margin.target id="marg760"></margin.target><emph type="italics"/>In the &longs;horter <lb/>
Vi&longs;&longs;els the undula <lb/>
tions of waters are <lb/>
more frequent.<emph.end type="italics"/></s>

<s>And here, for a third ob&longs;ervation, it is to be noted, that not <lb/>
<arrow.to.target n="marg761"></arrow.to.target> <lb/>
onely the greater or le&longs;&longs;er length of the Ve&longs;&longs;el is a cau&longs;e that <lb/>
the water maketh its reciprocations under different times; but <lb/>
the greater or le&longs;&longs;er profundity worketh the &longs;ame effect. </s><s>And <lb/>
it happeneth, that of waters contained in receptacles of equall <lb/>
length, but of unequal depth, that which &longs;hall be the deepe&longs;t, <lb/>
maketh its undulations under &longs;horter times, and the reciprocati <lb/>
ons of the &longs;hallower waters are le&longs;&longs;e frequent.</s>

<s><margin.target id="marg761"></margin.target><emph type="italics"/>The greater <lb/>
profundity maketh <lb/>
the undulations of <lb/>
waters more fre <lb/>
quent.<emph.end type="italics"/></s>

<s>Fourthly, there are two effects worthy to be noted, and di <lb/>
ligently ob&longs;erved, which the water worketh in tho&longs;e its vibra