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
>
321
322
323
324
325
326
327
328
329
330
<
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
>
<
p
type
="
main
">
<
s
>
<
pb
xlink:href
="
040/01/210.jpg
"
pagenum
="
192
"/>
<
arrow.to.target
n
="
marg388
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
>
<
margin.target
id
="
marg388
"/>
<
emph
type
="
italics
"/>
The greater
<
lb
/>
city exactly
<
lb
/>
penſates thegreater
<
lb
/>
gravity.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>SAGR. </
s
>
<
s
>But do you think that the velocity doth fully make
<
lb
/>
good the gravity? </
s
>
<
s
>that is, that the moment and force of a
<
lb
/>
able of
<
emph
type
="
italics
"/>
v. </
s
>
<
s
>g.
<
emph.end
type
="
italics
"/>
four pounds weight, is as great as that of one of an
<
lb
/>
hundred weight, whenſoever that the firſt hath an hundred degrees
<
lb
/>
of velocity, and the later but four onely?</
s
>
</
p
>
<
p
type
="
main
">
<
s
>SALV. </
s
>
<
s
>Yes doubtleſs, as I am able by many experiments to
<
lb
/>
demonſtrate: but for the preſent, let this onely of the ſtiliard
<
lb
/>
ſuffice: in which you ſee that the light end of the beam is then
<
lb
/>
able to ſuſtain and equilibrate the great Wool ſack, when its
<
lb
/>
ſtance from the centre, upon which the ſtiliard reſteth and
<
lb
/>
eth, ſhall ſo much exceed the leſſer diſtance, by how much the
<
lb
/>
ſolute gravity of the Wool-ſack exceedeth that of the pendent
<
lb
/>
weight. </
s
>
<
s
>And we ſee nothing that can cauſe this inſufficiencie in
<
lb
/>
the great ſack of Wool, to raiſe with its weight the pendent
<
lb
/>
weight ſo much leſs grave, ſave the diſparity of the motions which
<
lb
/>
the one and the other ſhould make, whilſt that the Wool ſack by
<
lb
/>
deſcending but one inch onely, will raiſe the pendent weight an
<
lb
/>
hundred inclies: (ſuppoſing that the ſack did weigh an hundred
<
lb
/>
times as much, and that the diſtance of the ſmall weight from the
<
lb
/>
centre of the beam were an hundred times greater, than the
<
lb
/>
ſtance between the ſaid centre and the point of the ſacks
<
lb
/>
on.) And again, the pendent weight its moving the ſpace of an
<
lb
/>
hundred inches, in the time that the ſack moveth but one inch
<
lb
/>
onely, is the ſame as to ſay, that the velocity of the motion of the
<
lb
/>
little pendent weight, is an hundred times greater than the
<
lb
/>
city of the motion of the ſack. </
s
>
<
s
>Now fix it in your belief, as a
<
lb
/>
true and manifeſt axiom, that the reſiſtance which proceedeth from
<
lb
/>
the velocity of motion, compenſateth that which dependeth on
<
lb
/>
the gravity of another moveable: So that conſequently, a
<
lb
/>
able of one pound, that moveth with an hundred degrees of
<
lb
/>
locity, doth as much reſiſt all obſtruction, as another moveable
<
lb
/>
of an hundred weight, whoſe velocity is but one degree onely.
<
lb
/>
</
s
>
<
s
>And two equal moveables will equally reſiſt their being moved,
<
lb
/>
if that they ſhall be moved with equal velocity: but if one be
<
lb
/>
to be moved more ſwiftly than the other, it ſhall make greater
<
lb
/>
ſiſtance, according to the greater velocity that ſhall be conferred
<
lb
/>
on it. </
s
>
<
s
>Theſe things being premiſed, let us proceed to the
<
lb
/>
nation of our Problem; and for the better underſtanding of
<
lb
/>
things, let us make a ſhort Scheme thereof. </
s
>
<
s
>Let two unequal
<
lb
/>
wheels be deſcribed about this centre A, [
<
emph
type
="
italics
"/>
in Fig.
<
emph.end
type
="
italics
"/>
7.] and let the
<
lb
/>
circumference of the leſſer be B G, and of the greater C E H, and
<
lb
/>
let the ſemidiameter A B C, be perpendicular to the Horizon; and
<
lb
/>
by the points B and C, let us draw the right lined Tangents B F
<
lb
/>
and C D; and in the arches B G and C E, take two equal parts
<
lb
/>
B G and C E: and let the two wheels be ſuppoſed to be turn'd </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>