Salusbury, Thomas, Mathematical collections and translations (Tome I), 1667

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1
Two ſorts of
motions of the
taining Veſſel, may
make the
ned water to riſe
and fall.
The Cavities of
the Earth cannot
approach or go
ther from the
tre of the ſame.
The progpeſſive
and uneven motion
may make the
ter contained in a
Veſſel to run to
and fro.
+ A Town
ing S. E. of Venice
The parts of the
terreſtrial Globe
accelerate and
tard in their
on.
SIMP. This Propoſition, at firſt ſight to me, that am neither
Geometrician nor Aſtronomer, hath the appearance of a very
great Paradox; and if it ſhould be true, that the motion of the
whole, being regular, that of the parts, which are all united to
their whole, may be irregular, the Paradox will overthrow the
Axiome that affirmeth, Eandem eſſe rationem totius &
tium.
SALV. I will demonſtrate my Paradox, and leave it to your
care, Simplicius, to defend the Axiome from it, or elſe to
concile them; and my demonſtration ſhall be ſhort and
miliar, depending on the things largely handled in our
dent conferences, without introducing the leaſt ſyllable, in
vour of the flux and reflux.
We have ſaid, that the motions aſſigned to the Terreſtrial

Globe are two, the firſt Annual, made by its centre about the
circumference of the Grand Orb, under the Ecliptick, according
to the order of the Signes, that is, from Weſt to Eaſt; the other
made by the ſaid Globe revolving about its own centre in twenty
four hours; and this likewiſe from Weſt to Eaſt: though
bout an Axis ſomewhat inclined, and not equidiſtant from that
of the Annual converſion.
From the mixture of theſe two
tions, each of it ſelf uniform, I ſay, that there doth reſult an
uneven and deformed motion in the parts of the Earth.
Which,
that it may the more eaſily be underſtood, I will explain, by
drawing a Scheme thereof.
And firſt, about the centre A [in
Fig.
1. of this Dialogue] I will deſcribe the circumference of

the Grand Orb B C, in which any point being taken, as B,
about it as a centre we will deſcribe this leſſer circle D E F G,
repreſenting the Terreſtrial Globe; the which we will ſuppoſe
to run thorow the whole circumference of the Grand Orb, with
its centre B, from the Weſt towards the Eaſt, that is, from the
part B towards C; and moreover we will ſuppoſe the
ſtrial Globe to turn about its own centre B likewiſe from Weſt
to Eaſt, that is, according to the ſucceſſion of the points
D E F G, in the ſpace of twenty four hours.
But here we
ought carefully to note, that a circle turning round upon its
own centre, each part of it muſt, at different times, move with
contrary motions: the which is manifeſt, conſidering that whilſt
the parts of the circumference, about the point D move to the
left hand, that is, towards E, the oppoſite parts that are about F,
approach to the right hand, that is, towards G; ſo that when
the parts D ſhall be in F, their motion ſhall be contrary to what
it was before.
when it was in D. Furthermore, the ſame time
that the parts E deſcend, if I may ſo ſpeak, towards F, thoſe in
G aſcend towards D.
It being therefore preſuppoſed, that

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