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
>
111
112
113
114
(57)
115
(58)
116
(59)
117
(60)
118
(61)
119
(62)
120
(63)
<
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
|<
<
(60)
of 824
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div411
"
type
="
section
"
level
="
1
"
n
="
142
">
<
pb
o
="
60
"
file
="
0108
"
n
="
117
"
rhead
="
PHYSICES ELEMENTA
"/>
</
div
>
<
div
xml:id
="
echoid-div413
"
type
="
section
"
level
="
1
"
n
="
143
">
<
head
xml:id
="
echoid-head206
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Definitio</
emph
>
2.</
head
>
<
p
>
<
s
xml:id
="
echoid-s2593
"
xml:space
="
preserve
">Motus retardatus, eſt cujus celeritas omnibus momentis mi-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0108-01
"
xlink:href
="
note-0108-01a
"
xml:space
="
preserve
">250.</
note
>
nuitur.</
s
>
<
s
xml:id
="
echoid-s2594
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s2595
"
xml:space
="
preserve
">Vis gravitatis in omnia corpora pro quantitate materiæ
<
lb
/>
continuo agit , & </
s
>
<
s
xml:id
="
echoid-s2596
"
xml:space
="
preserve
">quæcunque fuerint, gravitate
<
note
symbol
="
*
"
position
="
left
"
xlink:label
="
note-0108-02
"
xlink:href
="
note-0108-02a
"
xml:space
="
preserve
">124.</
note
>
modo moventur. </
s
>
<
s
xml:id
="
echoid-s2597
"
xml:space
="
preserve
">Quando corpus liberè cadit, impreſſio
<
lb
/>
primi momenti in ſecundo momento non deſtruitur; </
s
>
<
s
xml:id
="
echoid-s2598
"
xml:space
="
preserve
">ergo ei
<
lb
/>
ſuperadditur impreſſio ſecundi momenti, & </
s
>
<
s
xml:id
="
echoid-s2599
"
xml:space
="
preserve
">ſic de cæteris;
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s2600
"
xml:space
="
preserve
">motus igitur corporis libere cadentis eſt acceleratus, & </
s
>
<
s
xml:id
="
echoid-s2601
"
xml:space
="
preserve
">ex
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0108-03
"
xlink:href
="
note-0108-03a
"
xml:space
="
preserve
">251.</
note
>
Phænomenis conſtat motum æquabiliter in temporibus æ-
<
lb
/>
qualibus accelerari; </
s
>
<
s
xml:id
="
echoid-s2602
"
xml:space
="
preserve
">quod deduci poteſt ex Exp. </
s
>
<
s
xml:id
="
echoid-s2603
"
xml:space
="
preserve
">n. </
s
>
<
s
xml:id
="
echoid-s2604
"
xml:space
="
preserve
">277.</
s
>
<
s
xml:id
="
echoid-s2605
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s2606
"
xml:space
="
preserve
">Unde ſequitur gravitatem eodem modo agere in corpus mo-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0108-04
"
xlink:href
="
note-0108-04a
"
xml:space
="
preserve
">252.</
note
>
tum ac in corpus quieſcens; </
s
>
<
s
xml:id
="
echoid-s2607
"
xml:space
="
preserve
">ideò celeritates æquales, in mo-
<
lb
/>
mentis æqualibus, corpori communicat. </
s
>
<
s
xml:id
="
echoid-s2608
"
xml:space
="
preserve
">Unde celeritas,
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0108-05
"
xlink:href
="
note-0108-05a
"
xml:space
="
preserve
">253.</
note
>
inter cadendum acquiſita, eſt ut tempus, in quo corpus ce-
<
lb
/>
cidit. </
s
>
<
s
xml:id
="
echoid-s2609
"
xml:space
="
preserve
">Velocitas ex. </
s
>
<
s
xml:id
="
echoid-s2610
"
xml:space
="
preserve
">gr. </
s
>
<
s
xml:id
="
echoid-s2611
"
xml:space
="
preserve
">in certo tempore acquiſita erit du-
<
lb
/>
pla, ſi tempus fuerit duplum; </
s
>
<
s
xml:id
="
echoid-s2612
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2613
"
xml:space
="
preserve
">tripla, ſi tempus triplum,
<
lb
/>
& </
s
>
<
s
xml:id
="
echoid-s2614
"
xml:space
="
preserve
">c.</
s
>
<
s
xml:id
="
echoid-s2615
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s2616
"
xml:space
="
preserve
">Deſignetur tempus per lineam AB, & </
s
>
<
s
xml:id
="
echoid-s2617
"
xml:space
="
preserve
">initium temporis ſit
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0108-06
"
xlink:href
="
note-0108-06a
"
xml:space
="
preserve
">254.</
note
>
A. </
s
>
<
s
xml:id
="
echoid-s2618
"
xml:space
="
preserve
">In triangulo ABE, lineæ 1f, 2g, 3h, quæ parallelæ ad
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0108-07
"
xlink:href
="
note-0108-07a
"
xml:space
="
preserve
">TAB. X.
<
lb
/>
fig. 8.</
note
>
baſin, per puncta 1,2,3, ducuntur, ſunt inter ſe ut illarum
<
lb
/>
diſtantiæ ab A, A1, A2, A3; </
s
>
<
s
xml:id
="
echoid-s2619
"
xml:space
="
preserve
">id eſt, ut tempora quæ per illas di-
<
lb
/>
ſtantias deſignantur; </
s
>
<
s
xml:id
="
echoid-s2620
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2621
"
xml:space
="
preserve
">velocitates corporis libere cadentis
<
lb
/>
poſt illa tempora denotant. </
s
>
<
s
xml:id
="
echoid-s2622
"
xml:space
="
preserve
">Si pro lineis Mathematicis aliæ
<
lb
/>
adhibeantur cum minima latitudine, unicuique æquali, non
<
lb
/>
eo mutatur proportio; </
s
>
<
s
xml:id
="
echoid-s2623
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2624
"
xml:space
="
preserve
">hæ minimæ ſuperficies æque præ-
<
lb
/>
dictas velocitates denotant. </
s
>
<
s
xml:id
="
echoid-s2625
"
xml:space
="
preserve
">In tempore minimo velocitas
<
lb
/>
pro æquabili haberi poteſt, & </
s
>
<
s
xml:id
="
echoid-s2626
"
xml:space
="
preserve
">ideo ſpatium in eo tempore
<
lb
/>
percurſum velocitati proportionale eſt , eædemque
<
note
symbol
="
*
"
position
="
left
"
xlink:label
="
note-0108-08
"
xlink:href
="
note-0108-08a
"
xml:space
="
preserve
">94.</
note
>
ſuperficies ſpatia minimis, ſed æqualibus, temporibus percur-
<
lb
/>
ſa deſignare poterunt: </
s
>
<
s
xml:id
="
echoid-s2627
"
xml:space
="
preserve
">Idcirco in unaquaque minima ſuperfi-
<
lb
/>
cie memorata, ſi latitudo ſuperficiei pro tempore habeatur,
<
lb
/>
ſuperficies ipſa ſpatium percurſum deſignabit. </
s
>
<
s
xml:id
="
echoid-s2628
"
xml:space
="
preserve
">Totum tem-
<
lb
/>
pus AB conſtat ex talibus temporibus minimis; </
s
>
<
s
xml:id
="
echoid-s2629
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2630
"
xml:space
="
preserve
">area tri-
<
lb
/>
anguli
<
emph
style
="
sc
">A</
emph
>
BE formatur ex ſumma omnium ſuperficierum mi-
<
lb
/>
nimarum hiſce temporibus minimis reſpondentium: </
s
>
<
s
xml:id
="
echoid-s2631
"
xml:space
="
preserve
">area </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>