Galilei, Galileo
,
The systems of the world
,
1661
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if
not
ſo
,
then
the
ſuppoſion
of
Ariſtotle
is
defective
.
It
appears
moreover
that
Ariſtotle hinteth
but
one
circular
motion
alone
to
be
in
the
World
,
and
conſequently
but
one
onely
Center
,
to
which
alone
the
motions
of
upwards
and
downwards
,
refer
.
All
which
are
apparent
proofs
,
that
Ariſtotles
aim
is
,
to
make
white
black
,
and
to
accommodate
Architectur
to
the
building
,
and
not
to
modle
the
building
according
to
the
precepts
of
Arthitecture:
for
if
I
ſhould
ſay
that
Nature
in
Univerſal
may
have
a
thou
ſand
Circular
Motions
,
and
by
conſequence
a
thouſand
Cen
ters,
there
would
be
alſo
a
thouſand
motions
upwards
,
and
downwards
.
Again
he
makes
as
hath
been
ſaid
,
a
ſimple
motion
,
and
a
mixt
motion
,
calling
ſimple
,
the
circular
and
right
;
and
mixt
,
the
compound
of
them
two
:
of
natural
bodies
he
calls
ſome
ſimple
(
namely
thoſe
that
have
a
natural
principle
to
ſimple
mo
tion)
and
others
compound
:
and
ſimple
motions
he
attributes
to
ſimple
bodies
,
and
the
compounded
to
the
compound
;
but
by
compound
motion
he
doth
no
longer
underſtand
the
mixt
of
right
and
circular
,
which
may
be
in
the
World
;
but
introduceth
a
mixt
motion
as
impoſſible
,
as
it
is
impoſſible
to
mixe
oppoſite
motions
made
in
the
ſame
right
line
,
ſo
as
to
produce
from
them
a
motion
partly
upwards
,
partly
downwards
;
and
,
to
moderate
ſuch
an
ab
ſurdity,
and
impoſſibility
,
he
aſſerts
that
ſuch
mixt
bodies
move
according
to
the
ſimple
part
predominant
:
which
neceſſitates
others
to
ſay
,
that
even
the
motion
made
by
the
ſame
right
line
is
ſometimes
ſimple
,
and
ſometimes
alſo
compound
:
ſo
that
the
ſim
plicity
of
the
motion
,
is
no
longer
dependent
onely
on
the
ſim
plicity
of
the
line
.
The
Helix
about
the
Cylinder
may
be
ſaid
to
be
a
ſim
ple
line
.
Ariſtotle
accom
modates
the
rules
of
Architecture
to
the
frame
of
the
World
,
and
not
the
frame
to
the
rules
.
Right
motion
, ſome
times
ſimple
, ard
ſometimes
mixt
ac
cording
to
Ariſt
.
SIMPL.
How
?
Is
it
not
difference
ſufficient
,
that
the
ſimple
and
abſolute
are
more
ſwift
than
that
which
proceeds
from
predomi
nion?
and
how
much
faſter
doth
a
piece
of
pure
Earth
deſcend
,
than
a
piece
of
Wood
?
SAGR.
Well
,
Simplicius;
But
put
caſe
the
ſimplicity
for
this
cauſe
was
changed
,
beſides
that
there
would
be
a
hundred
thou
ſand
mixt
motions
,
you
would
not
be
able
to
determine
the
ſim
ple;
nay
farther
,
if
the
greater
or
leſſe
velocity
be
able
to
alter
the
ſimplicity
of
the
motion
,
no
ſimple
body
ſhould
move
with
a
ſimple
motion
;
ſince
that
in
all
natural
right
motions
,
the
veloci
ty
is
ever
encreaſing,
and
by
conſequence
ſtill
changing
the
ſimpli
city,
which
as
it
is
ſimplicity
,
ought
of
conſequence
to
be
immu
table,
and
that
which
more
importeth,
you
charge
Ariſtotle
with
another
thing
,
that
in
the
definition
of
motions
compounded
,
he
hath
not
made
mention
of
tardity
nor
velocity
,
which
you
now
inſert
for
a
neceſſary
and
eſſential
point
.
Again
you
can
draw
no
advantage
from
this
rule
,
for
that
there
will
be
amongſt
the
mixt
bodies
ſome
, (
and
that
not
a
few
)
that
will
move
ſwiftly
,
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