Galilei, Galileo
,
De Motu Antiquiora
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It
is
evident
,
then
,
why
and
how
upward
motion
comes
from
lightness
:
and
,
from
the
things
that
have
been
conveyed
in
this
chapter
as
well
as
in
the
preceding
one
,
it
can
easily
be
concluded
that
things
that
are
heavier
than
water
are
completely
submerged
and
are
necessarily
carried
downward
.
That
they
are
completely
submerged
is
necessary
:
for
if
they
were
not
completely
submerged
,
they
would
then
,
contrary
to
what
has
been
presupposed
,
be
lighter
than
water
;
for
that
things
that
are
not
completely
submerged
are
lighter
than
water
is
evident
from
the
converse
of
the
demonstration
just
adduced
.
In
addition
,
these
things
must
be
carried
downward
.
For
if
they
were
not
,
either
they
would
be
at
rest
,
or
they
would
be
moved
upward
:
but
they
would
not
be
at
rest
;
for
it
has
been
demonstrated
in
the
preceding
chapter
that
things
that
are
equally
as
heavy
as
water
are
at
rest
and
are
no
more
carried
upward
than
downward
:
and
it
has
just
become
apparent
that
things
lighter
than
water
are
carried
upward
.
Consequently
,
from
all
these
considerations
,
since
it
is
necessary
that
things
that
are
moved
downward
be
heavier
than
the
medium
through
which
they
are
carried
,
it
can
adequately
be
grasped
how
heavier
things
are
moved
downward
by
heaviness
;
and
how
in
the
case
of
a
stone
thrown
into
the
sea
,
the
reckoning
must
be
made
not
with
all
the
water
of
the
sea
,
but
only
with
that
very
small
part
which
must
be
removed
from
the
place
into
which
the
stone
enters
.
But
,
because
all
these
things
that
have
been
conveyed
in
the
two
preceding
chapters
can
be
made
clear
in
a
manner
still
less
mathematical
and
more
physical
,
by
reducing
them
to
a
consideration
of
the
scale
pan
,
I
have
decided
in
the
following
chapter
to
explain
the
correspondence
that
these
natural
mobiles
observe
with
the
weights
of
an
equal-armed
balance
{1}:
and
the
purpose
of
this
is
to
attain
a
richer
knowledge
of
the
things
that
will
be
conveyed
and
more
exact
knowledge
on
the
part
of
my
readers
.
Chapter
6
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