Galilei, Galileo
,
Discourse concerning the natation of bodies
,
1663
Text
Text Image
XML
Document information
None
Concordance
Figures
Thumbnails
List of thumbnails
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 77
>
51
52
53
54
55
56
57
58
59
60
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 77
>
page
|<
<
of 77
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
pb
pagenum
="
448
"/>
<
p
type
="
head
">
<
s
>THEOREME
<
lb
/>
<
arrow.to.target
n
="
marg1510
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
>
<
margin.target
id
="
marg1510
"/>
The heavieſt
<
lb
/>
Bodies may
<
lb
/>
ſwimme.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
italics
"/>
All Matters, how heavy ſoever, even to Gold it ſelf,
<
lb
/>
heavieſt of all Bodies, known by us, may float upon
<
lb
/>
the Water.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Becauſe its Gravity being conſidered to be almoſt twenty times
<
lb
/>
greater than that of the water, and, moreover, the greateſt Alti
<
lb
/>
tude that the Rampart of water can be extended to, without break
<
lb
/>
ing the Contiguity of the Air, adherent to the Surface of the Solid,
<
lb
/>
that is put upon the water being predetermined, if we ſhould make
<
lb
/>
a Plate of Gold ſo thin, that it exceeds not the nineteenth part ofthe
<
lb
/>
Altitude of the ſaid Rampart, this put lightly upon the water ſhall
<
lb
/>
reſt, without going to the bottom: and if Ebony ſhall chance to be
<
lb
/>
in ſeſquiſeptimall proportion more grave than the water, the greateſt
<
lb
/>
thickneſs that can be allowed to a Board of Ebony, ſo that it may be
<
lb
/>
able to ſtay above water without ſinking, would be ſeaven times
<
lb
/>
more than the height of the Rampart Tinn,
<
emph
type
="
italics
"/>
v. </
s
>
<
s
>gr.
<
emph.end
type
="
italics
"/>
eight times
<
lb
/>
grave than water, ſhall ſwimm as oft as the thickneſs of its Plate,</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
arrow.to.target
n
="
marg1511
"/>
<
lb
/>
exceeds not the 7th part of the Altitude of the Rampart.</
s
>
</
p
>
<
p
type
="
margin
">
<
s
>
<
margin.target
id
="
marg1511
"/>
<
emph
type
="
italics
"/>
He elſewhere
<
lb
/>
cites this as a
<
lb
/>
Propoſition,
<
lb
/>
fore I make it of
<
lb
/>
that number.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>And here I will not omit to note, as a ſecond Corrollary dependent
<
lb
/>
upon the things demonſtrated, that,</
s
>
</
p
>
<
p
type
="
head
">
<
s
>THEOREME
<
lb
/>
<
arrow.to.target
n
="
marg1512
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
>
<
margin.target
id
="
marg1512
"/>
Natation and
<
lb
/>
Submerſion,
<
lb
/>
lected from the
<
lb
/>
thickneſs,
<
lb
/>
ding the length
<
lb
/>
and breadth of
<
lb
/>
Plates.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
italics
"/>
The Expanſion of Figure not only is not the Cauſe of
<
lb
/>
Natation of thoſe grave Bodies, which
<
lb
/>
do ſubmerge, but alſo the determining what be
<
lb
/>
Boards of Ebony, or Plates of Iron or Gold that
<
lb
/>
ſwimme, depends not on it, rather that ſame
<
lb
/>
tion is to be collected from the only thickneſs of
<
lb
/>
Figures of Ebony or Gold, wholly excluding the
<
lb
/>
ſideration of length and breadth, as having no way
<
lb
/>
any ſhare in this Effect.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>It hath already been manifeſted, that the only cauſe of the
<
lb
/>
tion of the ſaid Plates, is the reduction of them to be leſs grave
<
lb
/>
than the water, by means of the connexion of that Air, which
<
lb
/>
ſcendeth together with them, and poſſeſſeth place in the water;
<
lb
/>
which place ſo occupyed, if before the circumfuſed water diffuſeth
<
lb
/>
it ſelf to fill it, it be capable of as much water, as ſhall weigh equall
<
lb
/>
with the Plate, the Plate ſhall remain ſuſpended, and ſinke
<
lb
/>
farther.</
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>