Galilei, Galileo, The systems of the world, 1661

Table of figures

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1circle that is the Terminator of the light; therefore this ſame
circle
ſhall paſſe by the Poles A B in the fourth figure, and
in
its plain the Axis A B ſhall fall, but the greateſt circle paſſing
by
the Poles of the Parallels, divideth them all in equal parts;
therefore
the arches I K, E F, C D, G N, L M, ſhall be all
ſemicircles
, and the illumin'd Hemiſphere ſhall be this which
looketh
towards us, and the Sun, and the Terminator of the
light
ſhall be one and the ſame circle A C B D, and the Earth
being
in this place ſhall make it Equinoctial to all its Inhabitants.
And the ſame happeneth in the ſecond figure, where the Earth
having
its illuminated Hemiſphere towards the Sun, ſheweth us
the
other that is obſcure, with its nocturnal arches, which in
like
manner are all ſemicircles, and conſequently, here alſo it
maketh
the Equinoctial.
And laſtly in regard that the line
duced
from the centre of the Sun to the centre of the Earth, is
perpendicular
to the Axis A B, to which the greateſt circle of
the
parallels C D, is likewiſe erect, the ſaid line O Libra ſhall
paſſe
of neceſſity by the ſame Plain of the parallel C D, cutting
its
circumference in the midſt of the diurnal arch C D; and
therefore
the Snn ſhall be vertical to any one that ſhall ſtand
where
that interſection is made; but all the Inhabitants of that
Parallel
ſhall paſſe the ſame, as being carried about by the
Earths
diurnal converſion; therefore all theſ upon that day
ſhall
have the Meridian Sun in their vertex.
And the Sun at the
ſame
time to all the Inhabitants of the Earth ſhall ſeem to
ſcribe
the Grand Parallel called the Equinoctial.
Furthermore,
foraſmuch
as the Earth being in both the Solſtitial points of the
Polar
circles I K and L M, the one is wholly in the light, and
the
other wholly in the dark; but when the Earth is in the
noctial
points, the halves of thoſe ſame polar circles are in the
light
, the remainder of them being in the dark; it ſhould not
be
hard to underſtand, how that the Earth v. gr. from Cancer
(where the parallel I K is wholly in the dark) to Leo, one part of
the
parallel towards the point I, beginneth to enter into the light,
and
that the Terminator of the light I M beginneth to retreat
wards
the Pole AB, interſecting the circle ACBD nolonger in IM,
but
in two other points falling between the terms I A and MB, of
the
arches IA and M B; whereupon the Inhabitants of the circle
begin
to enjoy the light, and the other Inhabitants of the circle
L
M to partake of night.
And thus you ſee that by two ſimple
motions
made in times proportionate to their bigneſſes, and not
contrary
to one another, but performed, as all others that
long
to moveable mundane bodies, from Weſt to Eaſt aſſigned
to
the Terreſtrial Globe, adequate reaſons are rendred of all
thoſe
Phænomena or appearances, for the accommodating of

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