Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
List of thumbnails
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 260
261 - 270
271 - 280
281 - 290
291 - 300
301 - 310
311 - 320
321 - 330
331 - 340
341 - 350
351 - 360
361 - 370
371 - 380
381 - 390
391 - 400
401 - 410
411 - 420
421 - 430
431 - 440
441 - 450
451 - 460
461 - 470
471 - 480
481 - 490
491 - 500
501 - 510
511 - 520
521 - 530
531 - 540
541 - 550
551 - 560
561 - 570
571 - 580
581 - 590
591 - 600
601 - 610
611 - 620
621 - 630
631 - 640
641 - 650
651 - 660
661 - 670
671 - 680
681 - 690
691 - 700
701 - 701
>
211
212
213
214
215
216
217
218
219
220
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 260
261 - 270
271 - 280
281 - 290
291 - 300
301 - 310
311 - 320
321 - 330
331 - 340
341 - 350
351 - 360
361 - 370
371 - 380
381 - 390
391 - 400
401 - 410
411 - 420
421 - 430
431 - 440
441 - 450
451 - 460
461 - 470
471 - 480
481 - 490
491 - 500
501 - 510
511 - 520
521 - 530
531 - 540
541 - 550
551 - 560
561 - 570
571 - 580
581 - 590
591 - 600
601 - 610
611 - 620
621 - 630
631 - 640
641 - 650
651 - 660
661 - 670
671 - 680
681 - 690
691 - 700
701 - 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
>