Gravesande, Willem Jacob 's
,
Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Handwritten
Figures
Content
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 - 720
721 - 750
751 - 780
781 - 810
811 - 824
>
Scan
Original
31
1
32
2
33
3
34
4
35
5
36
6
37
7
38
8
39
9
40
10
41
11
42
12
43
13
44
14
45
15
46
16
47
17
48
18
49
19
50
20
51
21
52
22
53
54
55
56
23
57
24
58
25
59
26
60
27
<
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 - 720
721 - 750
751 - 780
781 - 810
811 - 824
>
page
|<
<
(24)
of 824
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div172
"
type
="
section
"
level
="
1
"
n
="
62
">
<
p
>
<
s
xml:id
="
echoid-s1321
"
xml:space
="
preserve
">
<
pb
o
="
24
"
file
="
0056
"
n
="
57
"
rhead
="
PHYSICES ELEMENTA
"/>
tur, actio erit bis dupla, aut ter tripla, id eſt, ſextupla. </
s
>
<
s
xml:id
="
echoid-s1322
"
xml:space
="
preserve
">Si,
<
lb
/>
datis numeris in ratione intenſitatum, & </
s
>
<
s
xml:id
="
echoid-s1323
"
xml:space
="
preserve
">aliis in ratione ſpa-
<
lb
/>
tiorum percurſorum, pro ſingulis potentiis intenſitas per ſpa-
<
lb
/>
tium ab obſtaculo percurſum multiplicetur, producta ha-
<
lb
/>
bebunt quæſitam compoſitam rationem.</
s
>
<
s
xml:id
="
echoid-s1324
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1325
"
xml:space
="
preserve
">Si numeri dentur, qui actiones potentiarum variarum de-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0056-01
"
xlink:href
="
note-0056-01a
"
xml:space
="
preserve
">109.</
note
>
ſignant, erunt hi ut producta obſtaculorum per ſpatia, ergo
<
lb
/>
ſi ſinguli ex datis numeris per ſpatium ab obſtaculo ſuo per-
<
lb
/>
curſum dividantur, quotientes erunt ut ipſa obſtacula.</
s
>
<
s
xml:id
="
echoid-s1326
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1327
"
xml:space
="
preserve
">Ideo eo majora ſunt obſtacula, quo actiones ſunt majo-
<
lb
/>
res, & </
s
>
<
s
xml:id
="
echoid-s1328
"
xml:space
="
preserve
">ſpatia percurſa minora; </
s
>
<
s
xml:id
="
echoid-s1329
"
xml:space
="
preserve
">ideſt, obſtacula ſunt in ratio-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0056-02
"
xlink:href
="
note-0056-02a
"
xml:space
="
preserve
">110.</
note
>
ne compoſita directæ actionum, & </
s
>
<
s
xml:id
="
echoid-s1330
"
xml:space
="
preserve
">inverſæ ſpatiorum percur-
<
lb
/>
ſorum.</
s
>
<
s
xml:id
="
echoid-s1331
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1332
"
xml:space
="
preserve
">Si numeri qui exprimunt producta obſtaculorum per
<
lb
/>
ſpatia, id eſt, qui potentiarum actiones exprimunt, ſinguli
<
lb
/>
dividantur per numeros, qui obſtacula deſignant, quotientes
<
lb
/>
erunt ut ſpatia, quæ ergo ſunt directe ut actiones, & </
s
>
<
s
xml:id
="
echoid-s1333
"
xml:space
="
preserve
">inver-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0056-03
"
xlink:href
="
note-0056-03a
"
xml:space
="
preserve
">111.</
note
>
ſe ut obſtacula.</
s
>
<
s
xml:id
="
echoid-s1334
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1335
"
xml:space
="
preserve
">Potentiarum actiones ſunt æquales, ſi ſpatia percurſa fue-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0056-04
"
xlink:href
="
note-0056-04a
"
xml:space
="
preserve
">112.</
note
>
rint in ratione inverſa obſtaculorum aut intenſit atum poten-
<
lb
/>
tiarum . </
s
>
<
s
xml:id
="
echoid-s1336
"
xml:space
="
preserve
">Quantum enim potentia intenſitate alteram
<
note
symbol
="
*
"
position
="
left
"
xlink:label
="
note-0056-05
"
xlink:href
="
note-0056-05a
"
xml:space
="
preserve
">100.</
note
>
rat, in tantum reſpectu ſpatii percurſi ſuperatur. </
s
>
<
s
xml:id
="
echoid-s1337
"
xml:space
="
preserve
">Ex. </
s
>
<
s
xml:id
="
echoid-s1338
"
xml:space
="
preserve
">Gr. </
s
>
<
s
xml:id
="
echoid-s1339
"
xml:space
="
preserve
">ſi obſta-
<
lb
/>
cula fuerint ut octo & </
s
>
<
s
xml:id
="
echoid-s1340
"
xml:space
="
preserve
">ſex, viæ percurſæ ut tria ad quatuor, u-
<
lb
/>
traque actio exprimetur per numerum viginti quatuor .</
s
>
<
s
xml:id
="
echoid-s1341
"
xml:space
="
preserve
">
<
note
symbol
="
*
"
position
="
left
"
xlink:label
="
note-0056-06
"
xlink:href
="
note-0056-06a
"
xml:space
="
preserve
">108.</
note
>
</
s
>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div182
"
type
="
section
"
level
="
1
"
n
="
63
">
<
head
xml:id
="
echoid-head107
"
xml:space
="
preserve
">CAPUT VIII.</
head
>
<
head
xml:id
="
echoid-head108
"
style
="
it
"
xml:space
="
preserve
">Generalia circa Gravitatem.</
head
>
<
head
xml:id
="
echoid-head109
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Phænomenon i</
emph
>
.</
head
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s1342
"
xml:space
="
preserve
">Omnia Corpora in Terræ viciniis, ſi nullo obſtaculo co-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0056-07
"
xlink:href
="
note-0056-07a
"
xml:space
="
preserve
">113.</
note
>
hibeantur, Terram verſum feruntur.</
s
>
<
s
xml:id
="
echoid-s1343
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div184
"
type
="
section
"
level
="
1
"
n
="
64
">
<
head
xml:id
="
echoid-head110
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Definitio</
emph
>
. 1.</
head
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s1344
"
xml:space
="
preserve
">Vis qua corpora Tellurem verſus pelluntur, vocatur gravitas.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1345
"
xml:space
="
preserve
">
<
note
position
="
left
"
xlink:label
="
note-0056-08
"
xlink:href
="
note-0056-08a
"
xml:space
="
preserve
">114.</
note
>
</
s
>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div186
"
type
="
section
"
level
="
1
"
n
="
65
">
<
head
xml:id
="
echoid-head111
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Definitio</
emph
>
2.</
head
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s1346
"
xml:space
="
preserve
">Vis illa cum relatione ad corpus, quod vi illa propellitur,
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0056-09
"
xlink:href
="
note-0056-09a
"
xml:space
="
preserve
">115.</
note
>
vocatur corporis pondus.</
s
>
<
s
xml:id
="
echoid-s1347
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>