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 concordance
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 300
301 - 330
331 - 360
361 - 390
391 - 420
421 - 450
451 - 480
481 - 510
511 - 540
541 - 570
571 - 600
601 - 630
631 - 660
661 - 690
691 - 720
721 - 750
751 - 780
781 - 810
811 - 824
>
Scan
Original
91
43
92
44
93
45
94
46
95
47
96
48
97
98
99
100
49
101
50
102
103
104
105
51
106
52
107
53
108
54
109
55
110
56
111
112
113
114
57
115
58
116
59
117
60
118
61
119
62
120
63
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 300
301 - 330
331 - 360
361 - 390
391 - 420
421 - 450
451 - 480
481 - 510
511 - 540
541 - 570
571 - 600
601 - 630
631 - 660
661 - 690
691 - 720
721 - 750
751 - 780
781 - 810
811 - 824
>
page
|<
<
(51)
of 824
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div363
"
type
="
section
"
level
="
1
"
n
="
123
">
<
p
>
<
s
xml:id
="
echoid-s2267
"
xml:space
="
preserve
">
<
pb
o
="
51
"
file
="
0097
"
n
="
105
"
rhead
="
MATHEMATICA, LIB. I. CAP. XV.
"/>
mode lineæ, in ſequentibus memorandæ, in iis duci poſ-
<
lb
/>
ſint.</
s
>
<
s
xml:id
="
echoid-s2268
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div366
"
type
="
section
"
level
="
1
"
n
="
124
">
<
head
xml:id
="
echoid-head181
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Experimentum</
emph
>
1.</
head
>
<
p
>
<
s
xml:id
="
echoid-s2269
"
xml:space
="
preserve
">Sit C centrum orbis minoris memorati, & </
s
>
<
s
xml:id
="
echoid-s2270
"
xml:space
="
preserve
">in hoc deli-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0097-01
"
xlink:href
="
note-0097-01a
"
xml:space
="
preserve
">224.</
note
>
neatum triangulum
<
emph
style
="
sc
">A</
emph
>
BC, cujus latera ſunt inter ſe ut 2.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s2271
"
xml:space
="
preserve
">3. </
s
>
<
s
xml:id
="
echoid-s2272
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2273
"
xml:space
="
preserve
">4.</
s
>
<
s
xml:id
="
echoid-s2274
"
xml:space
="
preserve
">; Detur linea CE lateri AB trianguli parallela, & </
s
>
<
s
xml:id
="
echoid-s2275
"
xml:space
="
preserve
">
<
lb
/>
continuetur latus AC verſus D.</
s
>
<
s
xml:id
="
echoid-s2276
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s2277
"
xml:space
="
preserve
">Nunc dentur tria fila in C juncta, & </
s
>
<
s
xml:id
="
echoid-s2278
"
xml:space
="
preserve
">juxta lineas CD,
<
lb
/>
CE, & </
s
>
<
s
xml:id
="
echoid-s2279
"
xml:space
="
preserve
">CB protenſa ſuper Trochleis majori orbi junctis;
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s2280
"
xml:space
="
preserve
">Si filis CD, CE, & </
s
>
<
s
xml:id
="
echoid-s2281
"
xml:space
="
preserve
">CF, appendantur pondera quæ ſint inter
<
lb
/>
ſe ut 4. </
s
>
<
s
xml:id
="
echoid-s2282
"
xml:space
="
preserve
">3. </
s
>
<
s
xml:id
="
echoid-s2283
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2284
"
xml:space
="
preserve
">2. </
s
>
<
s
xml:id
="
echoid-s2285
"
xml:space
="
preserve
">fila non moventur, & </
s
>
<
s
xml:id
="
echoid-s2286
"
xml:space
="
preserve
">nodus in C quieſcit; </
s
>
<
s
xml:id
="
echoid-s2287
"
xml:space
="
preserve
">
<
lb
/>
ſi ex eo puncto dimoveatur nodus, non quieſcit.</
s
>
<
s
xml:id
="
echoid-s2288
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s2289
"
xml:space
="
preserve
">In hac propoſitione duæ potentiæ quæcunque cum tertia æ-
<
lb
/>
què pollent, id eſt, valent unicam potentiam, quæ in eadem
<
lb
/>
directione cum illa tertia, ſed contrarie, agit, & </
s
>
<
s
xml:id
="
echoid-s2290
"
xml:space
="
preserve
">illi ter-
<
lb
/>
tiæ æqualis eſt.</
s
>
<
s
xml:id
="
echoid-s2291
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s2292
"
xml:space
="
preserve
">Quando quatuor potentiis punctum trahitur, dabitur æ-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0097-02
"
xlink:href
="
note-0097-02a
"
xml:space
="
preserve
">225.</
note
>
quilibrium, ſi reductis duabus potentiis ad unicam, hæc
<
lb
/>
potentia nova, cum duabus reliquis, ſit in conditione n.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s2293
"
xml:space
="
preserve
">220; </
s
>
<
s
xml:id
="
echoid-s2294
"
xml:space
="
preserve
">id eſt, ſi hiſce reliquis etiam ad unicam reductis, po-
<
lb
/>
tentia ex eo orta æqualis ſit, & </
s
>
<
s
xml:id
="
echoid-s2295
"
xml:space
="
preserve
">contrarie agat, cum poten-
<
lb
/>
tia nova ſtatim memorata.</
s
>
<
s
xml:id
="
echoid-s2296
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div369
"
type
="
section
"
level
="
1
"
n
="
125
">
<
head
xml:id
="
echoid-head182
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Experimentum</
emph
>
2.</
head
>
<
p
>
<
s
xml:id
="
echoid-s2297
"
xml:space
="
preserve
">Punctum C trahitur quatuor filis, B verſus pondere dua-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0097-03
"
xlink:href
="
note-0097-03a
"
xml:space
="
preserve
">226.</
note
>
rum unciarum, F verſus pondere ſex unciarum, E verſus
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0097-04
"
xlink:href
="
note-0097-04a
"
xml:space
="
preserve
">TAB. X.
<
lb
/>
fig. 3.</
note
>
pondere quatuor unciarum & </
s
>
<
s
xml:id
="
echoid-s2298
"
xml:space
="
preserve
">tandem D verſus pondere o-
<
lb
/>
cto unciarum, & </
s
>
<
s
xml:id
="
echoid-s2299
"
xml:space
="
preserve
">datur æ quilibrium: </
s
>
<
s
xml:id
="
echoid-s2300
"
xml:space
="
preserve
">formato triangulo
<
lb
/>
CFa, aut parallelogrammo CFaE, potentiæ prædictæ per
<
lb
/>
CF & </
s
>
<
s
xml:id
="
echoid-s2301
"
xml:space
="
preserve
">CE reducuntur ad unicam agentem per Ca, cum
<
lb
/>
vi ponderis octo unciarum, & </
s
>
<
s
xml:id
="
echoid-s2302
"
xml:space
="
preserve
">tunc tres potentiæ per CB,
<
lb
/>
CD, Ca exhibent caſum n. </
s
>
<
s
xml:id
="
echoid-s2303
"
xml:space
="
preserve
">220; </
s
>
<
s
xml:id
="
echoid-s2304
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2305
"
xml:space
="
preserve
">ideo ſi potentiæ per
<
lb
/>
CB & </
s
>
<
s
xml:id
="
echoid-s2306
"
xml:space
="
preserve
">CD reducantur ad unicam per CA, aget in eadem
<
lb
/>
directione ſed contrarie cum potentia per Ca, & </
s
>
<
s
xml:id
="
echoid-s2307
"
xml:space
="
preserve
">huic æ-
<
lb
/>
qualis erit.</
s
>
<
s
xml:id
="
echoid-s2308
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s2309
"
xml:space
="
preserve
">Quæ hìc de quatuor potentiis dicuntur, de quinque
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0097-05
"
xlink:href
="
note-0097-05a
"
xml:space
="
preserve
">227.</
note
>
& </
s
>
<
s
xml:id
="
echoid-s2310
"
xml:space
="
preserve
">pluribus dici potuiſſent; </
s
>
<
s
xml:id
="
echoid-s2311
"
xml:space
="
preserve
">ex quinque enim ſi duæ ad </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>