Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
Page concordance
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 300
301 - 330
331 - 360
361 - 390
391 - 420
421 - 450
451 - 480
481 - 510
511 - 540
541 - 570
571 - 600
601 - 630
631 - 660
661 - 690
691 - 701
>
Scan
Original
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 300
301 - 330
331 - 360
361 - 390
391 - 420
421 - 450
451 - 480
481 - 510
511 - 540
541 - 570
571 - 600
601 - 630
631 - 660
661 - 690
691 - 701
>
page
|<
<
of 701
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
pb
xlink:href
="
040/01/1042.jpg
"
pagenum
="
347
"/>
<
p
type
="
margin
">
<
s
>
<
margin.target
id
="
marg1138
"/>
B</
s
>
</
p
>
<
p
type
="
main
">
<
s
>For the declaration of this
<
emph
type
="
italics
"/>
Propoſition,
<
emph.end
type
="
italics
"/>
let a Solid Magnitude
<
lb
/>
that hath the Figure of a portion of a Sphære, as hath been ſaid,
<
lb
/>
be imagined to be de
<
lb
/>
<
figure
id
="
id.040.01.1042.1.jpg
"
xlink:href
="
040/01/1042/1.jpg
"
number
="
236
"/>
<
lb
/>
mitted into the Liquid; and
<
lb
/>
alſo, let a Plain be ſuppoſed
<
lb
/>
to be produced thorow the
<
lb
/>
Axis of that portion, and
<
lb
/>
thorow the Center of the
<
lb
/>
Earth: and let the Section
<
lb
/>
of the Surface of the Liquid
<
lb
/>
be the Circumference A B
<
lb
/>
C D, and of the Figure, the
<
lb
/>
Circumference E F H, & let
<
lb
/>
E H be a right line, and F T
<
lb
/>
the Axis of the Portion. </
s
>
<
s
>If now
<
lb
/>
it were poſſible, for ſatisfact
<
lb
/>
ion of the Adverſary, Let
<
lb
/>
it be ſuppoſed that the ſaid Axis were not according to the
<
emph
type
="
italics
"/>
(a)
<
emph.end
type
="
italics
"/>
Per
<
lb
/>
<
arrow.to.target
n
="
marg1139
"/>
<
lb
/>
pendicular; we are then to demonſtrate, that the Figure will not
<
lb
/>
continue as it was conſtituted by the Adverſary, but that it will re
<
lb
/>
turn, as hath been ſaid, unto its former poſition, that is, that the
<
lb
/>
Axis F T ſhall be according to the Perpendicular. </
s
>
<
s
>It is manifeſt, by
<
lb
/>
the
<
emph
type
="
italics
"/>
Corollary
<
emph.end
type
="
italics
"/>
of the 1. of 3.
<
emph
type
="
italics
"/>
Euclide,
<
emph.end
type
="
italics
"/>
that the Center of the Sphære
<
lb
/>
is in the Line F T, foraſmuch as that is the Axis of that Figure.
<
lb
/>
</
s
>
<
s
>And in regard that the Por
<
lb
/>
<
figure
id
="
id.040.01.1042.2.jpg
"
xlink:href
="
040/01/1042/2.jpg
"
number
="
237
"/>
<
lb
/>
tion of a Sphære, may be
<
lb
/>
greater or leſſer than an He
<
lb
/>
miſphære, and may alſo be
<
lb
/>
an Hemiſphære, let the Cen
<
lb
/>
tre of the Sphære, in the He
<
lb
/>
miſphære, be the Point T,
<
lb
/>
and in the leſſer Portion the
<
lb
/>
Point P, and in the greater,
<
lb
/>
the Point K, and let the Cen
<
lb
/>
tre of the Earth be the Point
<
lb
/>
L. </
s
>
<
s
>And ſpeaking, firſt, of
<
lb
/>
that greater Portion which
<
lb
/>
hath its Baſe out of, or a
<
lb
/>
bove, the Liquid, thorew the Points K and L, draw the Line KL
<
lb
/>
cutting the Circumference E F H in the Point N, Now, becauſe
<
lb
/>
<
arrow.to.target
n
="
marg1140
"/>
<
lb
/>
every Portion of a Sphære, hath its Axis in the Line, that from the
<
lb
/>
Centre of the Sphære is drawn perpendicular unto its Baſe, and hath
<
lb
/>
its Centre of Gravity in the Axis; therefore that Portion of the Fi
<
lb
/>
gure which is within the Liquid, which is compounded of two </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>