Salusbury, Thomas, Mathematical collections and translations (Tome I), 1667
page |< < of 701 > >|
1on other different concomitant cauſes, although they ought all
to have connexion with the primary; therefore it is convenient
that we propound and examine the ſeveral accidents that may
be the cauſes of ſuch different effects.
Demonſtrations
how the parts of
the terreſtriall
Globe accelerats
and ratard.
The parts of a
Circle regularly
moved about its
own centre move in
divers times with
contrary motions.
The mixture of
the two motions
annnal and
nal, cauſeth the
inequality in the
motion of the parts
of the terreſtrial
Globe.
The moſt potent
and primary cauſe
of the ebbing and
flowing.
The firſt of which is, that when ever the water, by means of a

notable retardation or acceleration of the motion of the Veſſel,
its container, ſhall have acquired a cauſe of running towards this

or that extream, and ſhall be raiſed in the one, and abated in the

other, it ſhall not nevertheleſſe continue, for any time in that
ſtate, when once the primary cauſe is ceaſed: but by vertue of
its own gravity and natural inclination to level and grow, even it
ſhall ſpeedily return backwards of its own accord, and, as being
grave and fluid, ſhall not only move towards Æquilibrium; but
being impelled by its own impetus, ſhall go beyond it, riſing in
the part, where before it was loweſt; nor ſhall it ſtay here, but
returning backwards anew, with more reiterated reciprocations of
its undulations, it ſhall give us to know, that it will not from a
velocity of motion, once conceived, reduce it ſelf, in an inſtant,
to the privation thereof, and to the ſtate of reſt, but will
ſively, by decreaſing a little and a little, reduce it ſelf unto the
ſame, juſt in the ſame manner as we ſee a weight hanging at a
cord, after it hath been once removed from its ſtate of reſt, that
is, from its perpendicularity, of its own accord, to return thither
and ſettle it ſelf, but not till ſuch time as it ſhall have often
paſt to one ſide, and to the other, with its reciprocall
brations.
Sundry accidents
that happen in the
ebbings & flowings
The first
dent.
The Water
ſed in one end of
the Veſſel
eth of its ſelf to
Æquilibrium.
The ſecond accident to be obſerved is, that the

declared reciprocations of motion come to be made and repeated
with greater or leſſer frequency, that is, under ſhorter or longer
times, according to the different lengths of the Veſſels
ing the waters; ſo that in the ſhorter ſpaces the
ons are more frequent, and in the longer more rare: juſt as in
the former example of pendent bodies, the vibrations of thoſe
that are hanged to longer cords are ſeen to be leſſe frequent,
than thoſe of them that hang at ſhorter ſtrings.
In the ſhorter
Viſſels the
tions of waters are
more frequent.
And here, for a third obſervation, it is to be noted, that not

onely the greater or leſſer length of the Veſſel is a cauſe that
the water maketh its reciprocations under different times; but
the greater or leſſer profundity worketh the ſame effect.
And
it happeneth, that of waters contained in receptacles of equall
length, but of unequal depth, that which ſhall be the deepeſt,
maketh its undulations under ſhorter times, and the
ons of the ſhallower waters are leſſe frequent.
The greater
profundity maketh
the undulations of
waters more
quent.
Fourthly, there are two effects worthy to be noted, and
ligently obſerved, which the water worketh in thoſe its

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