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: 39
[Note]
Page: 39
[Note]
Page: 40
[Note]
Page: 40
[Note]
Page: 40
[Note]
Page: 40
[Note]
Page: 40
[Note]
Page: 40
[Note]
Page: 40
[Note]
Page: 40
[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
<
1 - 5
[out of range]
>
page
|<
<
(36)
of 824
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div270
"
type
="
section
"
level
="
1
"
n
="
92
">
<
pb
o
="
36
"
file
="
0074
"
n
="
78
"
rhead
="
PHYSICES ELEMENTA
"/>
</
div
>
<
div
xml:id
="
echoid-div278
"
type
="
section
"
level
="
1
"
n
="
93
">
<
head
xml:id
="
echoid-head141
"
xml:space
="
preserve
">CAPUT X.</
head
>
<
head
xml:id
="
echoid-head142
"
xml:space
="
preserve
">De Vecte, Machinarum ſimplicium prima.</
head
>
<
head
xml:id
="
echoid-head143
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Definitio</
emph
>
1.</
head
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s1735
"
xml:space
="
preserve
">VEctis à Matbematicis vocatur linearecta inflexilis, pon-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0074-01
"
xlink:href
="
note-0074-01a
"
xml:space
="
preserve
">172.</
note
>
deribus ſuſtinendis, aut elevandis, accommodata, pon-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0074-02
"
xlink:href
="
note-0074-02a
"
xml:space
="
preserve
">TAB. V.
<
lb
/>
fig. 1.</
note
>
deris vel nullius, vel ſaltem æquabilis.</
s
>
<
s
xml:id
="
echoid-s1736
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1737
"
xml:space
="
preserve
">Inter Machinas, quæ ſimplices vocantur, primum locum
<
lb
/>
occupat, eſt omnium ſimpliciſſima; </
s
>
<
s
xml:id
="
echoid-s1738
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s1739
"
xml:space
="
preserve
">uſu venit, quando
<
lb
/>
pondera ad parvam altitudinem elevanda ſunt.</
s
>
<
s
xml:id
="
echoid-s1740
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1741
"
xml:space
="
preserve
">Quatuor aliæ dantur Machinæ ſimplices, de quibus in tri-
<
lb
/>
bus capitibus ſequentibus.</
s
>
<
s
xml:id
="
echoid-s1742
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1743
"
xml:space
="
preserve
">Circa Vectem tria conſiderari debent. </
s
>
<
s
xml:id
="
echoid-s1744
"
xml:space
="
preserve
">1. </
s
>
<
s
xml:id
="
echoid-s1745
"
xml:space
="
preserve
">Pondus ſuſti-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0074-03
"
xlink:href
="
note-0074-03a
"
xml:space
="
preserve
">173.</
note
>
nendum, aut elevandum, P. </
s
>
<
s
xml:id
="
echoid-s1746
"
xml:space
="
preserve
">2, Potentia, qua ſuſtinetur, aut
<
lb
/>
elevatur, quæ hîc pondere M deſignatur, & </
s
>
<
s
xml:id
="
echoid-s1747
"
xml:space
="
preserve
">vulgo eſtactio
<
lb
/>
hominis. </
s
>
<
s
xml:id
="
echoid-s1748
"
xml:space
="
preserve
">3. </
s
>
<
s
xml:id
="
echoid-s1749
"
xml:space
="
preserve
">Fulcrum, id eſt, illud quo Vectis ſuſtinetur,
<
lb
/>
& </
s
>
<
s
xml:id
="
echoid-s1750
"
xml:space
="
preserve
">ſuper quo movetur, aut potius rotatur, dum ipſum im-
<
lb
/>
mobile manet, F.</
s
>
<
s
xml:id
="
echoid-s1751
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1752
"
xml:space
="
preserve
">Vectes triplicis ſunt generis.</
s
>
<
s
xml:id
="
echoid-s1753
"
xml:space
="
preserve
"/>
</
p
>
<
note
position
="
left
"
xml:space
="
preserve
">174.</
note
>
<
p
>
<
s
xml:id
="
echoid-s1754
"
xml:space
="
preserve
">1. </
s
>
<
s
xml:id
="
echoid-s1755
"
xml:space
="
preserve
">Aliquando fulerum inter pondus & </
s
>
<
s
xml:id
="
echoid-s1756
"
xml:space
="
preserve
">potentiam ponitur.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1757
"
xml:space
="
preserve
">
<
note
position
="
left
"
xlink:label
="
note-0074-05
"
xlink:href
="
note-0074-05a
"
xml:space
="
preserve
">TAB. V.
<
lb
/>
fig. 1.</
note
>
</
s
>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1758
"
xml:space
="
preserve
">2. </
s
>
<
s
xml:id
="
echoid-s1759
"
xml:space
="
preserve
">Aliquando pondus inter fulcrum & </
s
>
<
s
xml:id
="
echoid-s1760
"
xml:space
="
preserve
">potentiam.</
s
>
<
s
xml:id
="
echoid-s1761
"
xml:space
="
preserve
"/>
</
p
>
<
note
position
="
left
"
xml:space
="
preserve
">TAB. V.
<
lb
/>
fig. 2.</
note
>
<
p
>
<
s
xml:id
="
echoid-s1762
"
xml:space
="
preserve
">3. </
s
>
<
s
xml:id
="
echoid-s1763
"
xml:space
="
preserve
">Sæpe etiam ipſa potentia agit inter pondus & </
s
>
<
s
xml:id
="
echoid-s1764
"
xml:space
="
preserve
">fulcrum.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1765
"
xml:space
="
preserve
">
<
note
position
="
left
"
xlink:label
="
note-0074-07
"
xlink:href
="
note-0074-07a
"
xml:space
="
preserve
">TAB. V.
<
lb
/>
fig. 3.</
note
>
</
s
>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1766
"
xml:space
="
preserve
">In omnibus caſibus regulæ eædem locum habent, quæ ex
<
lb
/>
iis, quæ de libra dicta ſunt , ſequuntur, & </
s
>
<
s
xml:id
="
echoid-s1767
"
xml:space
="
preserve
">quæ analogiam
<
note
symbol
="
*
"
position
="
left
"
xlink:label
="
note-0074-08
"
xlink:href
="
note-0074-08a
"
xml:space
="
preserve
">129.</
note
>
ter libram & </
s
>
<
s
xml:id
="
echoid-s1768
"
xml:space
="
preserve
">vectem oſtendunt. </
s
>
<
s
xml:id
="
echoid-s1769
"
xml:space
="
preserve
">Vectis primi generis eſt qua-
<
lb
/>
ſi ſtatera Romana ad elevanda pondera accommodata.</
s
>
<
s
xml:id
="
echoid-s1770
"
xml:space
="
preserve
"/>
</
p
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s1771
"
xml:space
="
preserve
">Actio potentiæ, & </
s
>
<
s
xml:id
="
echoid-s1772
"
xml:space
="
preserve
">ponderis reſiſtentia, creſcunt in ratio-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0074-09
"
xlink:href
="
note-0074-09a
"
xml:space
="
preserve
">175.</
note
>
ne diſtantiæ à fulcro ; </
s
>
<
s
xml:id
="
echoid-s1773
"
xml:space
="
preserve
">ideòque, ut potentia valeat ad
<
note
symbol
="
*
"
position
="
left
"
xlink:label
="
note-0074-10
"
xlink:href
="
note-0074-10a
"
xml:space
="
preserve
">119.</
note
>
nendum pondus, requiritur, ut diſtantia puncti in vecte,
<
lb
/>
cui applicatur, ſit ad ponderis diſtantiam, ut pondas ad po-
<
lb
/>
tentiæ intenſitatem , quæ ſi paululum adaugeatur,
<
note
symbol
="
*
"
position
="
left
"
xlink:label
="
note-0074-11
"
xlink:href
="
note-0074-11a
"
xml:space
="
preserve
">134.</
note
>
elevabitur.</
s
>
<
s
xml:id
="
echoid-s1774
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div285
"
type
="
section
"
level
="
1
"
n
="
94
">
<
head
xml:id
="
echoid-head144
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Experimentum</
emph
>
1. 2. & 3.</
head
>
<
p
>
<
s
xml:id
="
echoid-s1775
"
xml:space
="
preserve
">Hæc regula experimentis confirmatur erga memoratos
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0074-12
"
xlink:href
="
note-0074-12a
"
xml:space
="
preserve
">176.</
note
>
tres vectes, ut patet ex fig. </
s
>
<
s
xml:id
="
echoid-s1776
"
xml:space
="
preserve
">1. </
s
>
<
s
xml:id
="
echoid-s1777
"
xml:space
="
preserve
">2. </
s
>
<
s
xml:id
="
echoid-s1778
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s1779
"
xml:space
="
preserve
">3, Tab. </
s
>
<
s
xml:id
="
echoid-s1780
"
xml:space
="
preserve
">v.</
s
>
<
s
xml:id
="
echoid-s1781
"
xml:space
="
preserve
">; æquilibrium
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0074-13
"
xlink:href
="
note-0074-13a
"
xml:space
="
preserve
">TAB. V.
<
lb
/>
fig. 1. 2. & 3.</
note
>
enim datur, quando pondera P, & </
s
>
<
s
xml:id
="
echoid-s1782
"
xml:space
="
preserve
">pondera M quæpoten-
<
lb
/>
tias repræſentant, ut & </
s
>
<
s
xml:id
="
echoid-s1783
"
xml:space
="
preserve
">diſtantiæ à fulcro F, </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>