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 handwritten notes
<
1 - 5
[out of range]
>
<
1 - 5
[out of range]
>
page
|<
<
(41)
of 824
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div315
"
type
="
section
"
level
="
1
"
n
="
105
">
<
p
>
<
s
xml:id
="
echoid-s1936
"
xml:space
="
preserve
">
<
pb
o
="
41
"
file
="
0083
"
n
="
89
"
rhead
="
MATHEMATICA. LIB. I. CAP XII.
"/>
libræ, huic extremitati applicatum ſuſtinet pondus P.</
s
>
<
s
xml:id
="
echoid-s1937
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1938
"
xml:space
="
preserve
">Plurimi orbiculi utcunque conjungi poſſunt, & </
s
>
<
s
xml:id
="
echoid-s1939
"
xml:space
="
preserve
">pondus iis
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0083-01
"
xlink:href
="
note-0083-01a
"
xml:space
="
preserve
">194.</
note
>
annecti; </
s
>
<
s
xml:id
="
echoid-s1940
"
xml:space
="
preserve
">ſi tunc unum extremum funis fixum ſit, & </
s
>
<
s
xml:id
="
echoid-s1941
"
xml:space
="
preserve
">funis
<
lb
/>
circumeat omnes orbiculosillos, & </
s
>
<
s
xml:id
="
echoid-s1942
"
xml:space
="
preserve
">fixos æquali numero, par-
<
lb
/>
vâ potentiâ magnum pondus elevari poteſt; </
s
>
<
s
xml:id
="
echoid-s1943
"
xml:space
="
preserve
">in hoc caſu quo
<
lb
/>
numerus orbiculorum ponderi conjunctorum major eſt, (fi-
<
lb
/>
xis enim actio potentiæ non mutatur ) eo minor
<
note
symbol
="
*
"
position
="
right
"
xlink:label
="
note-0083-02
"
xlink:href
="
note-0083-02a
"
xml:space
="
preserve
">124.</
note
>
valet ad ſuſtinendum pondus; </
s
>
<
s
xml:id
="
echoid-s1944
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s1945
"
xml:space
="
preserve
">potentia, quæ eſt ad pon-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0083-03
"
xlink:href
="
note-0083-03a
"
xml:space
="
preserve
">195.</
note
>
dus, ut unitas ad duplum numeri or biculorum, cum pondere æ-
<
lb
/>
que pollet.</
s
>
<
s
xml:id
="
echoid-s1946
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1947
"
xml:space
="
preserve
">Hic enim eſt numerus funium, quibus pondus ſuſti-
<
lb
/>
netur, & </
s
>
<
s
xml:id
="
echoid-s1948
"
xml:space
="
preserve
">unico funi potentia applicatur.</
s
>
<
s
xml:id
="
echoid-s1949
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div318
"
type
="
section
"
level
="
1
"
n
="
106
">
<
head
xml:id
="
echoid-head156
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Experimentum</
emph
>
2.</
head
>
<
p
>
<
s
xml:id
="
echoid-s1950
"
xml:space
="
preserve
">Pondus P ſex librarum regulæ AB annectitur, in quatres
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0083-04
"
xlink:href
="
note-0083-04a
"
xml:space
="
preserve
">196.</
note
>
orbiculi libere rotantur. </
s
>
<
s
xml:id
="
echoid-s1951
"
xml:space
="
preserve
">Unco extremitas funis alligatur,
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0083-05
"
xlink:href
="
note-0083-05a
"
xml:space
="
preserve
">TAB. VII.
<
lb
/>
fig. 2.</
note
>
& </
s
>
<
s
xml:id
="
echoid-s1952
"
xml:space
="
preserve
">funis circumit tres illos orbiculos, & </
s
>
<
s
xml:id
="
echoid-s1953
"
xml:space
="
preserve
">totidem alios fixos;
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1954
"
xml:space
="
preserve
">alteri extremo pondus unius libræ alligatur, & </
s
>
<
s
xml:id
="
echoid-s1955
"
xml:space
="
preserve
">datur æqui-
<
lb
/>
librium,</
s
>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div320
"
type
="
section
"
level
="
1
"
n
="
107
">
<
head
xml:id
="
echoid-head157
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Experimentum</
emph
>
3. & 4</
head
>
<
p
>
<
s
xml:id
="
echoid-s1956
"
xml:space
="
preserve
">Non intereſt quomodocunque orbiculi conjungantur; </
s
>
<
s
xml:id
="
echoid-s1957
"
xml:space
="
preserve
">ad
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0083-06
"
xlink:href
="
note-0083-06a
"
xml:space
="
preserve
">197.</
note
>
elevanda pondera haud facile præcedens diſpoſitio adhibetur;
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1958
"
xml:space
="
preserve
">artifices ideò inæqualibus orbiculis utuntur diſpoſitis ut in
<
lb
/>
fig. </
s
>
<
s
xml:id
="
echoid-s1959
"
xml:space
="
preserve
">3.</
s
>
<
s
xml:id
="
echoid-s1960
"
xml:space
="
preserve
">; magnitudo enim orbiculorum nihil immutat. </
s
>
<
s
xml:id
="
echoid-s1961
"
xml:space
="
preserve
">Sæpe
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0083-07
"
xlink:href
="
note-0083-07a
"
xml:space
="
preserve
">TAB. VII.
<
lb
/>
fig. 3.</
note
>
etiam, quæ diſpoſitio eſt omnium maxime compendioſa,
<
lb
/>
orbiculi circa eundem axem volubiles ſunt, ut in fig. </
s
>
<
s
xml:id
="
echoid-s1962
"
xml:space
="
preserve
">4.</
s
>
<
s
xml:id
="
echoid-s1963
"
xml:space
="
preserve
">, & </
s
>
<
s
xml:id
="
echoid-s1964
"
xml:space
="
preserve
">
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0083-08
"
xlink:href
="
note-0083-08a
"
xml:space
="
preserve
">TAB. VII.
<
lb
/>
fig. 4.</
note
>
in hiſce duobus caſibus experimentum eodem modo proce-
<
lb
/>
dit, ac in 2
<
emph
style
="
super
">do</
emph
>
experimento.</
s
>
<
s
xml:id
="
echoid-s1965
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1966
"
xml:space
="
preserve
">Quando extremitas funis ductarii, quæ in experimentis
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0083-09
"
xlink:href
="
note-0083-09a
"
xml:space
="
preserve
">198.</
note
>
præcedentibus fixa eſt, annectitur ponderi aut orbiculis
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0083-10
"
xlink:href
="
note-0083-10a
"
xml:space
="
preserve
">TAB. VII.
<
lb
/>
fig. 5.</
note
>
mobilibus, ratio potentiæ ad pondus non eſt ut 1. </
s
>
<
s
xml:id
="
echoid-s1967
"
xml:space
="
preserve
">ad du-
<
lb
/>
plum numeri orbiculorum ponderi affixorum; </
s
>
<
s
xml:id
="
echoid-s1968
"
xml:space
="
preserve
">ſed unitate
<
lb
/>
augeri debet numerus hicce duplus; </
s
>
<
s
xml:id
="
echoid-s1969
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s1970
"
xml:space
="
preserve
">hîc, ubi duo orbicu-
<
lb
/>
li ponderi annectuntur, ratio eſt ut 1 ad 5; </
s
>
<
s
xml:id
="
echoid-s1971
"
xml:space
="
preserve
">tot enim dan-
<
lb
/>
tur funes, quibus pondus ſuſtinetur.</
s
>
<
s
xml:id
="
echoid-s1972
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div323
"
type
="
section
"
level
="
1
"
n
="
108
">
<
head
xml:id
="
echoid-head158
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Experimentum</
emph
>
5.</
head
>
<
note
position
="
right
"
xml:space
="
preserve
">199.</
note
>
<
p
>
<
s
xml:id
="
echoid-s1973
"
xml:space
="
preserve
">Plurimi orbiculi ſeparati & </
s
>
<
s
xml:id
="
echoid-s1974
"
xml:space
="
preserve
">mobiles, habentes ſinguli
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0083-12
"
xlink:href
="
note-0083-12a
"
xml:space
="
preserve
">TAB. VIII.
<
lb
/>
fig. 4.</
note
>
</
s
>
</
p
>
</
div
>
</
text
>
</
echo
>