Galilei, Galileo
,
Discourse concerning the natation of bodies
,
1663
Text
XML
Document information
None
Concordance
Figures
Thumbnails
Table of figures
<
1 - 19
>
[11. Figure]
Page: 48
[12. Figure]
Page: 51
[13. Figure]
Page: 52
[14. Figure]
Page: 54
[15. Figure]
Page: 54
[16. Figure]
Page: 56
[17. Figure]
Page: 57
[18. Figure]
Page: 58
[19. Figure]
Page: 76
<
1 - 19
>
page
|<
<
of 77
>
>|
THEOREME III.
A
Priſme
or
regular
Cylinder
,
of
a
ſubſtance
ſpecifically
leſs
grave
than
Water
,
if
it
ſhould
be
totally
ſubmerged
in
Water
, ſtayes
not
underneath
,
but
riſeth,
though
the
Water
circumfuſed
be
very
little
,
and
in
abſolute
Gravity
,
never
ſo
much
inferiour
to
the
Gravity
of
the
ſaid
Priſme.
Let
then
the
Priſme
A
E
F
B
,
be
put
into
the
Veſſell
C
D
F
B
,
the
ſame
being
leſs
grave
in
ſpecie
than
the
Water
:
and
let
the
Water
infuſed
riſe
to
the
height
of
the
Priſme:
I
ſay
,
that
the
Priſme
left
at
liberty
,
it
ſhall
riſe
,
being
born
up
by
the
Water
circumfuſed
C
D
E
A
.
For
the
[Figure 3]
Water
C
E
being
ſpecifically
more
grave
than
the
Solid
A
F
,
the
abſolute
weight
of
the
water
C
E
,
ſhall
have
greater
proportion
to
the
abſo
lute
weight
of
the
Priſme
A
F
,
than
the
Maſs
C
E
hath
to
the
Maſs
A
F
(
in
regard
the
Maſs
hath
the
ſame
proportion
to
the
Maſs
,
that
the
weight
abſolute
hath
to
the
weight
abſolute
,
in
caſe
the
Maſſes
are
of
the
ſame
Gravity
in
ſpecie
.)
But
the
Maſs
C
E
is
to
the
Maſs
A
F
,
as
the
Surface
of
the
water
A
C
,
is
to
the
Superficies
,
or
Baſe
of
the
Priſme
A
B
;
which
is
the
ſame
pro
portion
as
the
aſcent
of
the
Priſme
when
it
riſeth,
hath
to
the
deſcent
of
the
water
circumfuſed
C
E
.
Therefore
,
the
abſolute
Gravity
of
the
water
C
E
,
hath
greater
proportion
to
the
abſolute
Gravity
of
the
Priſme
A
F
;
than
the
Aſcent
of
the
Priſme
A
F
,
hath
to
the
deſcent
of
the
ſaid
water
C
E
.
The
Moment
,
therefore
,
compounded
of
the
abſolute
Gravity
of
the
water
C
E
,
and
of
the
Velocity
of
its
deſcent
,
whilſt
it
forceably repulſeth
and
raiſeth
the
Solid
A
F
,
is
greater
than
the
Moment
compounded
of
the
abſolute
Gravity
of
the
Priſme
A
F
,
and
of
the
Tardity
of
its
aſcent
,
with
which
Moment
it
contraſts
and
re
fiſts
the
repulſe
and
violence
done
it
by
the
Moment
of
the
water
:
Therefore
,
the
Priſme
ſhall
be
raiſed
.
The
Proportion
according
to
which
the
Sub
merſion &
Na
tation
of
Solids
is
made
.
It
followes,
now
,
that
we
proceed
forward
to
demonſtrate
more
particularly
,
how
much
ſuch
Solids
ſhall
be
inferiour
in
Gravity
to
the
water
elevated
;
namely
,
what
part
of
them
ſhall
reſt
ſubmerged
,
and
what
ſhall
be
viſible
above
the
Surface
of
the
water
:
but
firſt
it
is
neceſſary
to
demonſtrate
the
ſubſequent
Lemma
.
Text layer
Dictionary
Text normalization
Original
Regularized
Normalized
Search
Exact
All forms
Fulltext index
Morphological index
