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
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
<
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
="
040/01/988.jpg
"
pagenum
="
294
"/>
<
p
type
="
main
">
<
s
>The preſent Speculation hath been attempted by
<
emph
type
="
italics
"/>
Pappus Alex
<
lb
/>
andrinus
<
emph.end
type
="
italics
"/>
in
<
emph
type
="
italics
"/>
Lib.
<
emph.end
type
="
italics
"/>
8.
<
emph
type
="
italics
"/>
de Collection. </
s
>
<
s
>Mathemat.
<
emph.end
type
="
italics
"/>
but, if I be in the
<
lb
/>
right, he hath not hit the mark, and was overſeen in the Aſſumpti
<
lb
/>
on that he maketh, where he ſuppoſeth that the Weight ought to
<
lb
/>
be moved along the Horizontal Line by a
<
emph
type
="
italics
"/>
F
<
emph.end
type
="
italics
"/>
orce given; which is
<
lb
/>
falſe: there needing no ſenſible
<
emph
type
="
italics
"/>
F
<
emph.end
type
="
italics
"/>
orce (removing the Accidental
<
lb
/>
Impediments, which in the Theory are not regarded) to move the
<
lb
/>
given Weight along the Horizon, ſo that he goeth about in vain
<
lb
/>
afterwards to ſeek with what
<
emph
type
="
italics
"/>
F
<
emph.end
type
="
italics
"/>
orce it is to be moved along the
<
lb
/>
elevated Plane. </
s
>
<
s
>It will be therefore better, the
<
emph
type
="
italics
"/>
F
<
emph.end
type
="
italics
"/>
orce that moveth
<
lb
/>
the Weight upwards perpendicularly, (which equalizeth the Gra
<
lb
/>
vity of that Weight which is to be moved) being given, to
<
lb
/>
ſeek the
<
emph
type
="
italics
"/>
F
<
emph.end
type
="
italics
"/>
orce that moveth it along the Elevated Plane: Which
<
lb
/>
we will endeavour to do in a Method different from that of
<
lb
/>
<
emph
type
="
italics
"/>
Pappus.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Let us therefore ſuppoſe the Circle A I C, and in it the Diame
<
lb
/>
ter A B C, and the Center B, and two Weights of equal Moment
<
lb
/>
in the extreams B and C; ſo that the Line A C being a Leaver,
<
lb
/>
or Ballance moveable about the Center B, the Weight C ſhall
<
lb
/>
come to be ſuſtained by the Weight A. </
s
>
<
s
>But if we ſhall imagine
<
lb
/>
the Arm of the Ballance B C to be inclined downwards according
<
lb
/>
to the Line B F, but yet in ſuch a manner that the two Lines
<
emph
type
="
italics
"/>
A B
<
emph.end
type
="
italics
"/>
<
lb
/>
and
<
emph
type
="
italics
"/>
B F
<
emph.end
type
="
italics
"/>
do continue ſolidly conjoyned in the point
<
emph
type
="
italics
"/>
B,
<
emph.end
type
="
italics
"/>
in this caſe
<
lb
/>
the Moment of the Weight C ſhall not be equal to the Moment
<
lb
/>
<
figure
id
="
id.040.01.988.1.jpg
"
xlink:href
="
040/01/988/1.jpg
"
number
="
200
"/>
<
lb
/>
of the Weight
<
emph
type
="
italics
"/>
A,
<
emph.end
type
="
italics
"/>
for that the Di
<
lb
/>
ſtance of the point
<
emph
type
="
italics
"/>
F
<
emph.end
type
="
italics
"/>
from the Line
<
lb
/>
of Direction, which goeth accord
<
lb
/>
ing to B I, from the
<
emph
type
="
italics
"/>
F
<
emph.end
type
="
italics
"/>
ulciment B un
<
lb
/>
to the Center of the Earth, is dimi
<
lb
/>
niſhed: But if from the point
<
emph
type
="
italics
"/>
F
<
emph.end
type
="
italics
"/>
we
<
lb
/>
erect a Perpendicular unto B C, as is
<
lb
/>
<
emph
type
="
italics
"/>
F
<
emph.end
type
="
italics
"/>
K, the Moment of the Weight in
<
lb
/>
<
emph
type
="
italics
"/>
F
<
emph.end
type
="
italics
"/>
ſhall be as if it did hang by the
<
lb
/>
Line K
<
emph
type
="
italics
"/>
F,
<
emph.end
type
="
italics
"/>
and look how much the
<
lb
/>
Diſtance K B is diminiſhed by the
<
lb
/>
Diſtance B
<
emph
type
="
italics
"/>
A,
<
emph.end
type
="
italics
"/>
ſo much is the Moment of the Weight
<
emph
type
="
italics
"/>
F
<
emph.end
type
="
italics
"/>
diminiſhed
<
lb
/>
by the Moment of the
<
emph
type
="
italics
"/>
W
<
emph.end
type
="
italics
"/>
eight
<
emph
type
="
italics
"/>
A. A
<
emph.end
type
="
italics
"/>
nd in this faſhion inclining
<
lb
/>
the
<
emph
type
="
italics
"/>
W
<
emph.end
type
="
italics
"/>
eight more, as for inſtance, according to B L, its Moment ſhall
<
lb
/>
ſtill diminiſh and ſhall be as if it did hang at the Diſtance
<
emph
type
="
italics
"/>
B
<
emph.end
type
="
italics
"/>
M, ac
<
lb
/>
cording to the
<
emph
type
="
italics
"/>
L
<
emph.end
type
="
italics
"/>
ine M
<
emph
type
="
italics
"/>
L,
<
emph.end
type
="
italics
"/>
in which point
<
emph
type
="
italics
"/>
L
<
emph.end
type
="
italics
"/>
it ſhall be ſuſtained by
<
lb
/>
a
<
emph
type
="
italics
"/>
W
<
emph.end
type
="
italics
"/>
eight placed in
<
emph
type
="
italics
"/>
A,
<
emph.end
type
="
italics
"/>
ſo much leſs than it ſelf, by how much the
<
lb
/>
Diſtance B
<
emph
type
="
italics
"/>
A
<
emph.end
type
="
italics
"/>
is greater than the Diſtance
<
emph
type
="
italics
"/>
B
<
emph.end
type
="
italics
"/>
M. </
s
>
<
s
>See therefore that
<
lb
/>
the
<
emph
type
="
italics
"/>
W
<
emph.end
type
="
italics
"/>
eight placed in the extream of the
<
emph
type
="
italics
"/>
L
<
emph.end
type
="
italics
"/>
eaver B C, in inclining
<
lb
/>
downwards along the Circumference C
<
emph
type
="
italics
"/>
F L
<
emph.end
type
="
italics
"/>
I, cometh to diminiſh
<
lb
/>
its Moment and
<
emph
type
="
italics
"/>
Impetus
<
emph.end
type
="
italics
"/>
of going downwards from time to time, </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>