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
Table of figures
<
1 - 30
31 - 60
61 - 90
91 - 98
>
[Figure 91]
Page: 702
[Figure 92]
Page: 715
[Figure 93]
Page: 722
[Figure 94]
Page: 735
[Figure 95]
Page: 772
[Figure 96]
Page: 799
[Figure 97]
Page: 803
[Figure 98]
Page: 804
<
1 - 30
31 - 60
61 - 90
91 - 98
>
page
|<
<
(37)
of 824
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div285
"
type
="
section
"
level
="
1
"
n
="
94
">
<
p
>
<
s
xml:id
="
echoid-s1783
"
xml:space
="
preserve
">
<
pb
o
="
37
"
file
="
0075
"
n
="
79
"
rhead
="
MATHEMATICA. LIB. I. CAP. X.
"/>
habent, quæ datur inter numeros in figuris. </
s
>
<
s
xml:id
="
echoid-s1784
"
xml:space
="
preserve
">Conſtructio ma-
<
lb
/>
chinarum, quibus hæc experimenta inſtituuntur, ex ſola
<
lb
/>
inſpectione Tabulæ ſatis patet, & </
s
>
<
s
xml:id
="
echoid-s1785
"
xml:space
="
preserve
">nulla ulteriori explicatio-
<
lb
/>
ne indiget.</
s
>
<
s
xml:id
="
echoid-s1786
"
xml:space
="
preserve
"/>
</
p
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s1787
"
xml:space
="
preserve
">Vectis formatur compoſitus ex variis vectibus junctis. </
s
>
<
s
xml:id
="
echoid-s1788
"
xml:space
="
preserve
">In
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0075-01
"
xlink:href
="
note-0075-01a
"
xml:space
="
preserve
">177.</
note
>
hoc caſu adhibito ſecundo vecte movetur primus; </
s
>
<
s
xml:id
="
echoid-s1789
"
xml:space
="
preserve
">ſecundus
<
lb
/>
tertio poteſt agitari; </
s
>
<
s
xml:id
="
echoid-s1790
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s1791
"
xml:space
="
preserve
">ſic ulterius ſi libuerit, ultimo tandem
<
lb
/>
applicatur potentia, cujus ratso ad pondus, quando cum pondere
<
lb
/>
æquè pollet, componitur ex rationibus potentiarum ad ponde-
<
lb
/>
ra in ſingulis vectibus, quando ſeparatim adbibentur.</
s
>
<
s
xml:id
="
echoid-s1792
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div288
"
type
="
section
"
level
="
1
"
n
="
95
">
<
head
xml:id
="
echoid-head145
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Experimentum</
emph
>
4.</
head
>
<
p
>
<
s
xml:id
="
echoid-s1793
"
xml:space
="
preserve
">Tres vectes A, B, D, ita diſponuntur, ut potentiâ Mpon-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0075-02
"
xlink:href
="
note-0075-02a
"
xml:space
="
preserve
">178.</
note
>
dus P ſuſtineatur. </
s
>
<
s
xml:id
="
echoid-s1794
"
xml:space
="
preserve
">In vecte A, ſi ſolus adhiberetur, po-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0075-03
"
xlink:href
="
note-0075-03a
"
xml:space
="
preserve
">TAB. V.
<
lb
/>
fig. 5.</
note
>
tentia eſſet ad pondus, ut 1. </
s
>
<
s
xml:id
="
echoid-s1795
"
xml:space
="
preserve
">ad 5.</
s
>
<
s
xml:id
="
echoid-s1796
"
xml:space
="
preserve
">; in vecte B, ut 1. </
s
>
<
s
xml:id
="
echoid-s1797
"
xml:space
="
preserve
">ad 4.</
s
>
<
s
xml:id
="
echoid-s1798
"
xml:space
="
preserve
">;
<
lb
/>
& </
s
>
<
s
xml:id
="
echoid-s1799
"
xml:space
="
preserve
">in vecte D, ut 1. </
s
>
<
s
xml:id
="
echoid-s1800
"
xml:space
="
preserve
">ad 6. </
s
>
<
s
xml:id
="
echoid-s1801
"
xml:space
="
preserve
">Ratio, ex his tribus compoſita,
<
lb
/>
eſt 1. </
s
>
<
s
xml:id
="
echoid-s1802
"
xml:space
="
preserve
">ad 120; </
s
>
<
s
xml:id
="
echoid-s1803
"
xml:space
="
preserve
">unica etiam uncia M ſuſtinet pondus P cen-
<
lb
/>
tum & </
s
>
<
s
xml:id
="
echoid-s1804
"
xml:space
="
preserve
">viginti unciarum. </
s
>
<
s
xml:id
="
echoid-s1805
"
xml:space
="
preserve
">Notandum, in motu hujus machi-
<
lb
/>
næ ſpatia à potentia & </
s
>
<
s
xml:id
="
echoid-s1806
"
xml:space
="
preserve
">pondere eodem tempore percurſa eſ-
<
lb
/>
ſe ut 120. </
s
>
<
s
xml:id
="
echoid-s1807
"
xml:space
="
preserve
">ad 1.</
s
>
<
s
xml:id
="
echoid-s1808
"
xml:space
="
preserve
">, id eſt, in ratione prædictainverſa, quod
<
lb
/>
requiritur ut detur æquilibrium .</
s
>
<
s
xml:id
="
echoid-s1809
"
xml:space
="
preserve
">
<
note
symbol
="
*
"
position
="
right
"
xlink:label
="
note-0075-04
"
xlink:href
="
note-0075-04a
"
xml:space
="
preserve
">212.</
note
>
</
s
>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1810
"
xml:space
="
preserve
">Vecte etiam ſæpe utuntur artifices ad pondera vehenda;
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1811
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s1812
"
xml:space
="
preserve
">hujus uſus vectis varii dantur caſus, digni quinotentur, & </
s
>
<
s
xml:id
="
echoid-s1813
"
xml:space
="
preserve
">
<
lb
/>
quorum demonſtratio ex dictis facile deducitur.</
s
>
<
s
xml:id
="
echoid-s1814
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1815
"
xml:space
="
preserve
">Circa omnes caſus generaliter obſervandum, intenſitatem
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0075-05
"
xlink:href
="
note-0075-05a
"
xml:space
="
preserve
">179.</
note
>
potentiæ, aut intenſitates potentiarum junctas, quando plu-
<
lb
/>
rimæ dantur, æquè pollere debere cumgravitate ponderum ve-
<
lb
/>
dorum, aut ſuſtinendorum: </
s
>
<
s
xml:id
="
echoid-s1816
"
xml:space
="
preserve
">in omnibus enim caſibus potentiæ
<
lb
/>
& </
s
>
<
s
xml:id
="
echoid-s1817
"
xml:space
="
preserve
">obſtacula æquales vias percurrunt.</
s
>
<
s
xml:id
="
echoid-s1818
"
xml:space
="
preserve
"/>
</
p
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s1819
"
xml:space
="
preserve
">Si duabus potentiis ſuſtineri aut vehi debeat pondus, in-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0075-06
"
xlink:href
="
note-0075-06a
"
xml:space
="
preserve
">180.</
note
>
ter potentias collocandum erit, & </
s
>
<
s
xml:id
="
echoid-s1820
"
xml:space
="
preserve
">diſtantiæ potentiarum ab
<
lb
/>
utraque parte à pondere debent eſſe in ratione inverſa po-
<
lb
/>
téntiarum intenſitatum.</
s
>
<
s
xml:id
="
echoid-s1821
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1822
"
xml:space
="
preserve
">Potentiarum enim actiones ſeſe mutuo turbabunt, niſi in-
<
lb
/>
ter has æquilibrium detur circa punctum ſuſpenſionis pon-
<
lb
/>
deris; </
s
>
<
s
xml:id
="
echoid-s1823
"
xml:space
="
preserve
">quo æquilibrio poſito, in puncto hoc potentiarum
<
lb
/>
actiones ſunt coactæ, & </
s
>
<
s
xml:id
="
echoid-s1824
"
xml:space
="
preserve
">cum pondere contrarie agunt; </
s
>
<
s
xml:id
="
echoid-s1825
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>