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
List of thumbnails
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 260
261 - 270
271 - 280
281 - 290
291 - 300
301 - 310
311 - 320
321 - 330
331 - 340
341 - 350
351 - 360
361 - 370
371 - 380
381 - 390
391 - 400
401 - 410
411 - 420
421 - 430
431 - 440
441 - 450
451 - 460
461 - 470
471 - 480
481 - 490
491 - 500
501 - 510
511 - 520
521 - 530
531 - 540
541 - 550
551 - 560
561 - 570
571 - 580
581 - 590
591 - 600
601 - 610
611 - 620
621 - 630
631 - 640
641 - 650
651 - 660
661 - 670
671 - 680
681 - 690
691 - 700
701 - 710
711 - 720
721 - 730
731 - 740
741 - 750
751 - 760
761 - 770
771 - 780
781 - 790
791 - 800
801 - 810
811 - 820
821 - 824
>
151
152
(83)
153
(84)
154
(85)
155
(86)
156
(87)
157
(88)
158
(89)
159
(90)
160
(91)
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 260
261 - 270
271 - 280
281 - 290
291 - 300
301 - 310
311 - 320
321 - 330
331 - 340
341 - 350
351 - 360
361 - 370
371 - 380
381 - 390
391 - 400
401 - 410
411 - 420
421 - 430
431 - 440
441 - 450
451 - 460
461 - 470
471 - 480
481 - 490
491 - 500
501 - 510
511 - 520
521 - 530
531 - 540
541 - 550
551 - 560
561 - 570
571 - 580
581 - 590
591 - 600
601 - 610
611 - 620
621 - 630
631 - 640
641 - 650
651 - 660
661 - 670
671 - 680
681 - 690
691 - 700
701 - 710
711 - 720
721 - 730
731 - 740
741 - 750
751 - 760
761 - 770
771 - 780
781 - 790
791 - 800
801 - 810
811 - 820
821 - 824
>
page
|<
<
(111)
of 824
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div671
"
type
="
section
"
level
="
1
"
n
="
187
">
<
p
>
<
s
xml:id
="
echoid-s4614
"
xml:space
="
preserve
">
<
pb
o
="
111
"
file
="
0171
"
n
="
186
"
rhead
="
MATHEMATICA. LIB. I. CAP. XXII.
"/>
do preſſio vim generat non in acceleratione æquales gradus
<
lb
/>
velocitatis æquali actione communicantur; </
s
>
<
s
xml:id
="
echoid-s4615
"
xml:space
="
preserve
">ut enim æquales
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0171-01
"
xlink:href
="
note-0171-01a
"
xml:space
="
preserve
">439.</
note
>
gradus velocitatis corporibus æqualibus, quorum unum quie-
<
lb
/>
ſcit, alterum movetur, æqualibus actionibus communicentur;
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s4616
"
xml:space
="
preserve
">requiritur ut illud quod in corpora agit reſpectu utriuſque
<
lb
/>
eandem habeat relationem; </
s
>
<
s
xml:id
="
echoid-s4617
"
xml:space
="
preserve
">id eſt, deſideratur ut cauſa mo-
<
lb
/>
vens eadem velocitate cum corpore moto feratur, in quod
<
lb
/>
tunc poterit agere ut in corpus quieſcens: </
s
>
<
s
xml:id
="
echoid-s4618
"
xml:space
="
preserve
">actio autem qua
<
lb
/>
cauſa movens transfertur ſuper addenda eſt actioni hujus
<
lb
/>
ipſius, ut habeamus actionem integram qua corpus move-
<
lb
/>
tur. </
s
>
<
s
xml:id
="
echoid-s4619
"
xml:space
="
preserve
">Unde deducimus difficilius corpus acceler ari quam mo-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0171-02
"
xlink:href
="
note-0171-02a
"
xml:space
="
preserve
">440.</
note
>
veri.</
s
>
<
s
xml:id
="
echoid-s4620
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s4621
"
xml:space
="
preserve
">Sint elaſtra infinite parva e, e, e, e, &</
s
>
<
s
xml:id
="
echoid-s4622
"
xml:space
="
preserve
">c, juncta inter ſe,
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0171-03
"
xlink:href
="
note-0171-03a
"
xml:space
="
preserve
">441.</
note
>
& </
s
>
<
s
xml:id
="
echoid-s4623
"
xml:space
="
preserve
">flexa, quæ, ſi ad priſtinam redeant figuram, illam ac
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0171-04
"
xlink:href
="
note-0171-04a
"
xml:space
="
preserve
">
<
emph
style
="
sc
">TAB. XVI.</
emph
>
<
lb
/>
fig. 1.</
note
>
quirant, quæ in E repræſentatur, & </
s
>
<
s
xml:id
="
echoid-s4624
"
xml:space
="
preserve
">per ſpatium infinite
<
lb
/>
exiguum ſeſe expandant. </
s
>
<
s
xml:id
="
echoid-s4625
"
xml:space
="
preserve
">Elaſtrorum hæc eſt proprietas,
<
lb
/>
ut, ſi, dum ſe expandunt, in corpus ſibi relictum premant,
<
lb
/>
huic vim integram, cum qua ſe expandunt, communicent,
<
lb
/>
ſi ad partem oppoſitam obſtaculo immobili inſiſtant. </
s
>
<
s
xml:id
="
echoid-s4626
"
xml:space
="
preserve
">Ela-
<
lb
/>
ſtrum E communicat corpori P gradum velocitatis infinitè
<
lb
/>
exiguum. </
s
>
<
s
xml:id
="
echoid-s4627
"
xml:space
="
preserve
">Ut elaſtrum ſequens corpori æqualem gradum
<
lb
/>
velocitatis communicet, requiritur ut elaſtrum, dum ſeſe
<
lb
/>
expandit, ea velocitate feratur, quam corpus jam acqui-
<
lb
/>
ſivit, aliter non ageret in corpus motum, ut E in corpus
<
lb
/>
quieſcens egit; </
s
>
<
s
xml:id
="
echoid-s4628
"
xml:space
="
preserve
">præterea requiritur, ut in hoc motu inſi-
<
lb
/>
ſtat Elaſtrum translatum obſtaculo, quod verſus partem op-
<
lb
/>
poſitam cedere nequeat; </
s
>
<
s
xml:id
="
echoid-s4629
"
xml:space
="
preserve
">id eſt propellendum eſt ea vi,
<
lb
/>
qua hoc propellit corpus; </
s
>
<
s
xml:id
="
echoid-s4630
"
xml:space
="
preserve
">quod obtinebit, ſi elaſtro ſimili
<
lb
/>
ſeſe expandente propellatur. </
s
>
<
s
xml:id
="
echoid-s4631
"
xml:space
="
preserve
">Duo ergo elaſtra eodem mo-
<
lb
/>
mento ſeſe expandentia requiruntur, ut ſecundus gradus
<
lb
/>
celeritatis corpori communicetur, id eſt vis deſidera-
<
lb
/>
tur dupla illius, qua primus gradus corpori communicatur.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s4632
"
xml:space
="
preserve
">Simili demonſtratione patebit, tria elaſtra, eodem momen-
<
lb
/>
to ſeſe expandentia, aut vim triplam requiri, ut communi-
<
lb
/>
cetur tertius velocitatis gradus & </
s
>
<
s
xml:id
="
echoid-s4633
"
xml:space
="
preserve
">ſic de cæteris. </
s
>
<
s
xml:id
="
echoid-s4634
"
xml:space
="
preserve
">Poſitis
<
lb
/>
nempe gradibus velocitatis infinitè exiguis ne in </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>