Archimedes
,
Natation of bodies
,
1662
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 - 68
>
1
2
3
4
5
6
7
8
9
10
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 68
>
page
|<
<
of 68
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
pb
xlink:href
="
073/01/010.jpg
"
pagenum
="
339
"/>
<
p
type
="
margin
">
<
s
>
<
margin.target
id
="
marg1132
"/>
* I add the word
<
lb
/>
ſetled, as neceſſary
<
lb
/>
in making the Ex
<
lb
/>
periment.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>NIC. </
s
>
<
s
>In this
<
emph
type
="
italics
"/>
Propoſition
<
emph.end
type
="
italics
"/>
it is affirmed that thoſe Solid Magnitules that hap
<
lb
/>
pen to be equal in ſpecifical Gravity with the Liquid being lefeat liber
<
lb
/>
ty in the ſaid Liquid do ſo ſubmerge in the ſame, as that they lie or ap
<
lb
/>
pear not at all above the Surface of the Liquid, nor yet do they go or ſink to the
<
lb
/>
Bottom.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>For ſuppoſing, on the contrary, that it were poſſible for one of
<
lb
/>
thoſe Solids being placed in the Liquid to lie in part without the
<
lb
/>
Liquid, that is above its Surface, (alwaies provided that the ſaid
<
lb
/>
Liquid be ſetled and undiſturbed,) let us imagine any Plane pro
<
lb
/>
duced thorow the Center of the Earth, thorow the Liquid, and
<
lb
/>
thorow that Solid Body: and let us imagine that the Section of the
<
lb
/>
Liquid is the Superficies A B G D, and the Section of the Solid
<
lb
/>
Body that is within it the Superſicies E Z H T, and let us ſuppoſe
<
lb
/>
the Center of the Earth to be the Point K: and let the part of the
<
lb
/>
ſaid Solid ſubmerged in the Liquid be B G H T, and let that above
<
lb
/>
be B E Z G: and let the Solid Body be ſuppoſed to be comprized in
<
lb
/>
a Pyramid that hath its Parallelogram Baſe in the upper Surface of
<
lb
/>
the Liquid, and its Summity or Vertex in the Center of the Earth:
<
lb
/>
which Pyramid let us alſo ſuppoſe to be cut or divided by the ſame
<
lb
/>
Plane in which is the Circumference A B G D, and let the Sections
<
lb
/>
<
figure
id
="
id.073.01.010.1.jpg
"
xlink:href
="
073/01/010/1.jpg
"
number
="
4
"/>
<
lb
/>
of the Planes of the ſaid
<
lb
/>
Pyramid be K L and
<
lb
/>
K M: and in the Liquid
<
lb
/>
about the Center K let
<
lb
/>
there be deſcribed a Su
<
lb
/>
perficies of another
<
lb
/>
Sphære below E Z H T,
<
lb
/>
which let be X O P;
<
lb
/>
and let this be cut by
<
lb
/>
the Superficies of the Plane: And let there be another Pyramid ta
<
lb
/>
ken or ſuppoſed equal and like to that which compriſeth the ſaid
<
lb
/>
Solid Body, and contiguous and conjunct with the ſame; and let
<
lb
/>
the Sections of its Superficies be K M and K N: and let us ſuppoſe
<
lb
/>
another Solid to be taken or imagined, of Liquor, contained in that
<
lb
/>
ſame Pyramid, which let be R S C Y, equal and like to the partial
<
lb
/>
Solid B H G T, which is immerged in the ſaid Liquid: But the
<
lb
/>
part of the Liquid which in the firſt Pyramid is under the Super
<
lb
/>
ficies X O, and that, which in the other Pyramid is under the Su
<
lb
/>
perficies O P, are equijacent or equipoſited and contiguous, but
<
lb
/>
are not preſſed equally; for that which is under the Superficies
<
lb
/>
X O is preſſed by the Solid T H E Z, and by the Liquor that is
<
lb
/>
contained between the two Spherical Superficies X O and L M
<
lb
/>
and the Planes of the Pyramid, but that which proceeds accord
<
lb
/>
ing to F O is preſſed by the Solid R S C Y, and by the Liquid </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>