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
|<
<
(138)
of 824
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div775
"
type
="
section
"
level
="
1
"
n
="
203
">
<
p
>
<
s
xml:id
="
echoid-s5486
"
xml:space
="
preserve
">
<
pb
o
="
138
"
file
="
0204
"
n
="
222
"
rhead
="
PHYSICES ELEMENTA
"/>
ſtituamus IF, prædicta ſumma æqualis erit rectangulo AL,
<
lb
/>
quod ſi dividatur per
<
emph
style
="
sc
">A</
emph
>
C, ſummam maſſarum, quotiens di-
<
lb
/>
viſionis dabit
<
emph
style
="
sc
">A</
emph
>
H, aut BI, velocitatem corporibus com-
<
lb
/>
munem poſt ictum.</
s
>
<
s
xml:id
="
echoid-s5487
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div781
"
type
="
section
"
level
="
1
"
n
="
204
">
<
head
xml:id
="
echoid-head290
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Experimentum</
emph
>
8.</
head
>
<
p
>
<
s
xml:id
="
echoid-s5488
"
xml:space
="
preserve
">Globi duo æquales ex argilla molli ſuſpenduntur, ſi hi
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0204-01
"
xlink:href
="
note-0204-01a
"
xml:space
="
preserve
">514.</
note
>
partem eandem verſus moveantur, P velocitate decem, Q
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0204-02
"
xlink:href
="
note-0204-02a
"
xml:space
="
preserve
">
<
emph
style
="
sc
">TAB. XXI.</
emph
>
<
lb
/>
fig. 1.</
note
>
velocitate ſex; </
s
>
<
s
xml:id
="
echoid-s5489
"
xml:space
="
preserve
">poſt ictum motum ſimul continuabunt ve-
<
lb
/>
locitate octo.</
s
>
<
s
xml:id
="
echoid-s5490
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s5491
"
xml:space
="
preserve
">Cum maſſæ ſint æquales unitate deſignari poſſunt, & </
s
>
<
s
xml:id
="
echoid-s5492
"
xml:space
="
preserve
">ſum-
<
lb
/>
ma productorum maſſarum per velocitates eſt ſedecim, quæ
<
lb
/>
ſi per ſummam maſſarum duo dividatur habemus ut in Ex-
<
lb
/>
perimento velocitatem octo,</
s
>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div783
"
type
="
section
"
level
="
1
"
n
="
205
">
<
head
xml:id
="
echoid-head291
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Experimentum</
emph
>
9.</
head
>
<
p
>
<
s
xml:id
="
echoid-s5493
"
xml:space
="
preserve
">Suſpenſis cylindris, eburneo E cujus maſſa eſt tria,
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0204-03
"
xlink:href
="
note-0204-03a
"
xml:space
="
preserve
">515.</
note
>
& </
s
>
<
s
xml:id
="
echoid-s5494
"
xml:space
="
preserve
">ligneo argillam continenti G, cujus maſſa eſt duo, feran-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0204-04
"
xlink:href
="
note-0204-04a
"
xml:space
="
preserve
">
<
emph
style
="
sc
">TA. XXII.</
emph
>
<
lb
/>
fig. 3.</
note
>
tur hi ad eandem partem, primus velocitate duodecim, ſe-
<
lb
/>
cundus velocitate ſeptem, poſt ictum ſimul velocitate de-
<
lb
/>
cem moventur.</
s
>
<
s
xml:id
="
echoid-s5495
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s5496
"
xml:space
="
preserve
">Multiplicando maſſam 3 per velocitatem 12, habemus
<
lb
/>
36, addito 14, producto maſſæ 2 per velocitatem 7, habe-
<
lb
/>
mus ſummam productorum 50, quæ ſi dividatur per ſum-
<
lb
/>
mam maſſarum 5, habemus velocitatem experimento dete-
<
lb
/>
ctam 10.</
s
>
<
s
xml:id
="
echoid-s5497
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s5498
"
xml:space
="
preserve
">Si corpora tendant in partes contrarias, & </
s
>
<
s
xml:id
="
echoid-s5499
"
xml:space
="
preserve
">ex producto
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0204-05
"
xlink:href
="
note-0204-05a
"
xml:space
="
preserve
">516.</
note
>
majori BM ſubtrahamus MI, & </
s
>
<
s
xml:id
="
echoid-s5500
"
xml:space
="
preserve
">ſubſtituamus IF, habe-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0204-06
"
xlink:href
="
note-0204-06a
"
xml:space
="
preserve
">
<
emph
style
="
sc
">TAB. XX.</
emph
>
<
lb
/>
fig. 2.</
note
>
mus BM æquale gnomoni AHLFEB; </
s
>
<
s
xml:id
="
echoid-s5501
"
xml:space
="
preserve
">ex quo ſi ſub-
<
lb
/>
trahamus productum BF, habemus HC diſſerentiam pro-
<
lb
/>
ductorum maſſarum per ſuas velocitates; </
s
>
<
s
xml:id
="
echoid-s5502
"
xml:space
="
preserve
">ſi autem hanc di-
<
lb
/>
vidamus per ſummam maſſarum AC, quotiens erit veloci-
<
lb
/>
tas quæſita BI, quæ dirigitur ad eandem partem cum BN:
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s5503
"
xml:space
="
preserve
">id eſt ambo corpora, velocitate detectâ, feruntur verſus
<
lb
/>
eandem partem cum corpore, cujus productum maßæ per
<
lb
/>
velocitatem alius productum ſimile excedit.</
s
>
<
s
xml:id
="
echoid-s5504
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>