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 Notes
<
1 - 5
[out of range]
>
[Note]
Page: 40
[Note]
Page: 41
[Note]
Page: 41
[Note]
Page: 41
[Note]
Page: 41
[Note]
Page: 42
[Note]
Page: 43
[Note]
Page: 43
[Note]
Page: 43
[Note]
Page: 43
[Note]
Page: 44
[Note]
Page: 44
[Note]
Page: 44
[Note]
Page: 44
[Note]
Page: 44
[Note]
Page: 44
[Note]
Page: 44
[Note]
Page: 45
[Note]
Page: 45
[Note]
Page: 45
[Note]
Page: 45
[Note]
Page: 45
[Note]
Page: 45
[Note]
Page: 45
[Note]
Page: 46
[Note]
Page: 46
[Note]
Page: 46
[Note]
Page: 46
[Note]
Page: 47
[Note]
Page: 47
<
1 - 5
[out of range]
>
page
|<
<
(33)
of 824
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div250
"
type
="
section
"
level
="
1
"
n
="
88
">
<
p
>
<
s
xml:id
="
echoid-s1596
"
xml:space
="
preserve
">
<
pb
o
="
33
"
file
="
0069
"
n
="
72
"
rhead
="
MATHEMATICA. LIB. I. CAP. IX.
"/>
tur; </
s
>
<
s
xml:id
="
echoid-s1597
"
xml:space
="
preserve
">deſcendet centrum gravitatis, dum corpus juxta pla-
<
lb
/>
num adſcendit, poſita juſta plani inclinatione.</
s
>
<
s
xml:id
="
echoid-s1598
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1599
"
xml:space
="
preserve
">Aſcendit corpus dum rotatur partem plani ſuperiorem
<
lb
/>
verſus; </
s
>
<
s
xml:id
="
echoid-s1600
"
xml:space
="
preserve
">ſed dum ſicrotatur cavendum eſt, ne juxta planum
<
lb
/>
labatur, ad quod requiritur funis, quo pro parte cylindrus
<
lb
/>
circumdatur, cujus extremitas una cylindro in f connecti-
<
lb
/>
tur, extremitate alterâ in d plano affixâ manente.</
s
>
<
s
xml:id
="
echoid-s1601
"
xml:space
="
preserve
"/>
</
p
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s1602
"
xml:space
="
preserve
">Ulterius ex iis, quæ de centro gravitatis dicta ſunt, de-
<
lb
/>
ducitur; </
s
>
<
s
xml:id
="
echoid-s1603
"
xml:space
="
preserve
">Punctum in quocunque corpore, aut machina, quod
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0069-01
"
xlink:href
="
note-0069-01a
"
xml:space
="
preserve
">153.</
note
>
ſuſtinet centrum gravitatis alicujus ponderis, totum pondus
<
lb
/>
ſuſtinere: </
s
>
<
s
xml:id
="
echoid-s1604
"
xml:space
="
preserve
">totamque vim, qua corpus terram verſus tendit,
<
lb
/>
in hoc centro quaſi coactam dari.</
s
>
<
s
xml:id
="
echoid-s1605
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div254
"
type
="
section
"
level
="
1
"
n
="
89
">
<
head
xml:id
="
echoid-head135
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Experimentum</
emph
>
13.</
head
>
<
p
>
<
s
xml:id
="
echoid-s1606
"
xml:space
="
preserve
">Si corpus A B, cujus centrum gravitatis brachio libræ
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0069-02
"
xlink:href
="
note-0069-02a
"
xml:space
="
preserve
">154.</
note
>
imponitur, aliquo in ſitu æquiponderat cum pondere P,
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0069-03
"
xlink:href
="
note-0069-03a
"
xml:space
="
preserve
">TAB. IV.
<
lb
/>
fig. 7.</
note
>
in omni alio ſitu, ab, ab, manente centro gravitatis C,
<
lb
/>
æquiponderabit.</
s
>
<
s
xml:id
="
echoid-s1607
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1608
"
xml:space
="
preserve
">Ad perfectionem libræ requiruntur 1. </
s
>
<
s
xml:id
="
echoid-s1609
"
xml:space
="
preserve
">ut puncta ſuſpen-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0069-04
"
xlink:href
="
note-0069-04a
"
xml:space
="
preserve
">155.</
note
>
ſionis lancium, aut ponderum, ſint exactè in eadem linea
<
lb
/>
cum centro libræ; </
s
>
<
s
xml:id
="
echoid-s1610
"
xml:space
="
preserve
">2. </
s
>
<
s
xml:id
="
echoid-s1611
"
xml:space
="
preserve
">ut ab utraque parte exactè ab iſto
<
lb
/>
centro æqualiter diſtent; </
s
>
<
s
xml:id
="
echoid-s1612
"
xml:space
="
preserve
">3. </
s
>
<
s
xml:id
="
echoid-s1613
"
xml:space
="
preserve
">ut libræ brachia, quantum com-
<
lb
/>
modè fieri poteſt, ſint longa; </
s
>
<
s
xml:id
="
echoid-s1614
"
xml:space
="
preserve
">4. </
s
>
<
s
xml:id
="
echoid-s1615
"
xml:space
="
preserve
">ut in motu jugi & </
s
>
<
s
xml:id
="
echoid-s1616
"
xml:space
="
preserve
">lancium,
<
lb
/>
quantum fieri poteſt, parvus ſit attritus; </
s
>
<
s
xml:id
="
echoid-s1617
"
xml:space
="
preserve
">5. </
s
>
<
s
xml:id
="
echoid-s1618
"
xml:space
="
preserve
">ut centrum
<
lb
/>
gravitatis jugi ponatur paululum infra centrum motus; </
s
>
<
s
xml:id
="
echoid-s1619
"
xml:space
="
preserve
">6.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1620
"
xml:space
="
preserve
">tandem ut partes axis, quæ jugo ſeparantur, ſint exa-
<
lb
/>
ctiſſimè in eadem linea recta, quæ ſitum maximè commo-
<
lb
/>
dum habebit, ſi cum jugo angulum efficiat rectum.</
s
>
<
s
xml:id
="
echoid-s1621
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div257
"
type
="
section
"
level
="
1
"
n
="
90
">
<
head
xml:id
="
echoid-head136
"
xml:space
="
preserve
">SCHOLIUM</
head
>
<
head
xml:id
="
echoid-head137
"
style
="
it
"
xml:space
="
preserve
">De centro Gravitatis.</
head
>
<
p
>
<
s
xml:id
="
echoid-s1622
"
xml:space
="
preserve
">Centrum gravitatis diximus eſſe punctum in corpore, circa quod omnes
<
lb
/>
partes ipſius, in quocunque ſitu poſiti, ſunt in æquilibrio: </
s
>
<
s
xml:id
="
echoid-s1623
"
xml:space
="
preserve
">tale punctum
<
lb
/>
in corpore quocunque revera dari, cum pleriſque Mechanicis poſuimus, hoc
<
lb
/>
nunc demonſtrabimus.</
s
>
<
s
xml:id
="
echoid-s1624
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1625
"
xml:space
="
preserve
">Sint puncta duo gravia A & </
s
>
<
s
xml:id
="
echoid-s1626
"
xml:space
="
preserve
">B, inæqualem quamcunque gravitatem haben-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0069-05
"
xlink:href
="
note-0069-05a
"
xml:space
="
preserve
">156.</
note
>
tia; </
s
>
<
s
xml:id
="
echoid-s1627
"
xml:space
="
preserve
">concipiantur hæc juncta, lineâ inflexili, rectâ, ſine pondere; </
s
>
<
s
xml:id
="
echoid-s1628
"
xml:space
="
preserve
">Detur in
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0069-06
"
xlink:href
="
note-0069-06a
"
xml:space
="
preserve
">TAB. VIII.
<
lb
/>
fig. 1.</
note
>
hac punctum C tale, ut CA ſit ad CB, ut pondus puncti B ad pondus pun-
<
lb
/>
cti A. </
s
>
<
s
xml:id
="
echoid-s1629
"
xml:space
="
preserve
">Pondera hæc in æquilibrio erunt circa C, & </
s
>
<
s
xml:id
="
echoid-s1630
"
xml:space
="
preserve
">quidem in ſitu </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>