Galilei, Galileo
,
Discourse concerning the natation of bodies
,
1663
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hundred
times
as
long
as
the
other
.
Let
the
erroneous
opinion
o
thoſe
therefore
ceaſe
,
who
hold
that
a
Ship
is
better
,
and
eaſter
born
up
in
a
great
abundance
of
water
,
then
in
a
leſſer
quantity
, (
this
was
believed
by
Ariſtotle
in
his
Problems
,
Sect
.
23, Probl. 2.)
it
being
or
the
contrary
true
,
that
its
poſſible
,
that
a
Ship
may
as
well
float
in
ten
Tun
of
water
,
as
in
an
Ocean
.
A
ſhip
flotes
as
well
in
ten
Tun
of
water
as
in
an
Ocean
.
A
Solid
ſpeci
fiaclly
graver
than
the
water
,
cannot
be
born
up
by
any
quan
tity
of
it
.
But
following
our
matter
,
I
ſay
,
that
by
what
hath
been
hitherto
demonſtrated
,
we
may
underſtand
how
,
that
COROLLARY
III.
One
of
the
above
named
Solids
,
when
more
grave
in
ſpecie
than
the
water
,
can
never
be
ſuſtained
,
by
any
whatever
quantity
of
it
.
For
having
ſeen
how
that
the
Moment
wherewith
ſuch
a
Solid
as
grave
in
ſpecie
as
the
water
,
contraſts
with
the
Moment
of
any
Maſs
of
water
whatſoever
,
is
able
to
retain
it
,
even
to
its
totall
Submerſion
:
without
its
ever
aſcending
;
it
remaineth,
manifeſt
,
that
the
water
is
far
leſs
able
to
raiſe
it
up
,
when
it
exceeds
the
ſame
in
ſpecie
:
ſo
,
that
though
you
infuſe
water
till
its
totall
Submerſion
,
it
ſhall
ſtill
ſtay
at
the
Bottome,
and
with
ſuch
Gravity
,
and
Reſiſtance
to
Eleva
tion,
as
is
the
exceſs
of
its
Abſolute
Gravity
,
above
the
Abſolute
Gra
vity
of
a
Maſs
equall
to
it
,
made
of
water
,
or
of
a
Matter
in
ſpecie
equally
grave
with
the
water
:
and
,
though
you
ſhould
moreover
adde
never
ſo
much
water
above
the
Levell
of
that
which
equalizeth
the
Altitude
of
the
Solid
,
it
ſhall
not
,
for
all
that
,
encreaſe
the
Preſſion
or
Gravitation
,
of
the
parts
circumfuſed
about
the
ſaid
Solid
,
by
which
greater
preſſion
,
it
might
come
to
be
repulſed
,
becauſe
,
the
Reſiſtance
is
not
made
,
but
only
by
thoſe
parts
of
the
water
,
which
at
the
Motion
of
the
ſaid
Solid
do
alſo
move
,
and
theſe
are
thoſe
only
,
which
are
comprehended
by
the
two
Superficies
equidiſtant
to
the
Horizon
,
and
their
parallels
,
that
comprehend
the
Altitude
of
the
Solid
immerged
in
the
water
.
I
conceive
,
I
have
by
this
time
ſufficiently
declared
and
opened
the
way
to
the
contemplation
of
the
true
, intrinſecall
and
proper
Cauſes
of
diverſe
Motions
,
and
of
the
Reſt
of
many
Solid
Bodies
in
diverſe
Mediums
,
and
particularly
in
the
water
,
ſhewing
how
all
ii
effect,
depend
on
the
mutuall
exceſſes
of
the
Gravity
of
the
Movea
bles
and
of
the
Mediums
:
and
,
that
which
did
highly
import
, re
moving
the
Objection
,
which
peradventure
would
have
begotter
much
doubting
,
and
ſcruple
in
ſome
,
about
the
verity
of
my
Con
cluſion,
namely
,
how
that
notwithſtanding
,
that
the
exceſs
of
the
Gravity
of
the
water
,
above
the
Gravity
of
the
Solid
,
demitted
into
it
,
be
the
cauſe
of
its
floating
and
riſing
from
the
Bottom
to
the
Sur
face,
yet
a
quantity
of
water
,
that
weighs
not
ten
pounds
,
can
raiſe
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