Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
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 - 491
>
151
152
153
154
155
156
157
158
159
160
<
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 - 491
>
page
|<
<
of 491
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
id
="
N15AC3
">
<
p
id
="
N18AA5
"
type
="
main
">
<
s
id
="
N18AA7
">
<
pb
pagenum
="
126
"
xlink:href
="
026/01/158.jpg
"/>
inſurgant: </
s
>
<
s
id
="
N18AB0
">Obiicient fortè primò, experientiam eſſe contrariam; </
s
>
<
s
id
="
N18AB4
">ſi enim
<
lb
/>
accipiantur duo cubi maior, & minor eiuſdem materiæ, & dimittantur
<
lb
/>
ex eadem altitudine eodem prorſus momento terram ferient; </
s
>
<
s
id
="
N18ABC
">Reſponde
<
lb
/>
ri poteſt momentum illud ſenſu percipi non poſſe; ſi enim dicam ma
<
lb
/>
iorem tangere terram 1000. inſtantibus ante minorem, an fortè ſenſu
<
lb
/>
hoc percipies, viſu ſcilicet vel auditu? </
s
>
<
s
id
="
N18AC6
">igitur in maxima altitudine hæc
<
lb
/>
ſpatiorum inæqualitas, & temporum ſenſu percipi poſſet, quæ in minori
<
lb
/>
ſub ſenſum non cadit: præterea accipe pulueris granulum eiuſdem ma
<
lb
/>
teriæ, tuncque etiam ſenſibilem motuum differentiam videbîs, atqui
<
lb
/>
eſt eadem ratio de omni minore. </
s
>
</
p
>
<
p
id
="
N18AD2
"
type
="
main
">
<
s
id
="
N18AD4
">Secundò obiicient, ſi ſuperponatur cubus minor maiori in ſuo motu
<
lb
/>
nunquam ſeparantur; igitur æquali motu deſcendunt. </
s
>
<
s
id
="
N18ADA
">Reſp. videri po
<
lb
/>
teſt equidem æquali motu deſcendere quia ſunt veluti partes eiuſdem
<
lb
/>
corporis, & grauitant grauitatione communi, neque minor habet ſingu
<
lb
/>
larem reſiſtentiam ſuperandam; </
s
>
<
s
id
="
N18AE4
">immò ſi ſuperponatur minor maiori,
<
lb
/>
vel maior minori, motus eſt velocior quàm eſſet ſolius maioris; </
s
>
<
s
id
="
N18AEA
">quia
<
lb
/>
cum non ſit maior reſiſtentia, maiores illi vires opponuntur; igitur fa
<
lb
/>
ciliùs ſuperatur. </
s
>
</
p
>
<
p
id
="
N18AF2
"
type
="
main
">
<
s
id
="
N18AF4
">Tertiò obiicient; </
s
>
<
s
id
="
N18AF7
">eſt eadem ſpecie grauitas; </
s
>
<
s
id
="
N18AFB
">igitur eadem grauitatio,
<
lb
/>
idemque motus deorſum; </
s
>
<
s
id
="
N18B01
">Reſponderi poſſet concedendo antecedens,
<
lb
/>
vnde in vacuo omnia grauia æquè velociter deſcenderent, ſi in eo mo
<
lb
/>
tus eſſet; at verò altera duarum cauſarum eiuſdem ſpeciei, quæ habet mi
<
lb
/>
norem proportionem actiuitatis ad reſiſtentiam, profectò minùs agit,
<
lb
/>
quod certum eſt. </
s
>
</
p
>
<
p
id
="
N18B0D
"
type
="
main
">
<
s
id
="
N18B0F
">Quartò obij:igitur motus poſſet eſſe velocior, & velocior in infini
<
lb
/>
tum; </
s
>
<
s
id
="
N18B15
">ſi enim maior cubus deſcenderet velociùs; </
s
>
<
s
id
="
N18B19
">igitur ſi detur maior ad
<
lb
/>
huc velociùs, atque ita deinceps: </
s
>
<
s
id
="
N18B1F
">Reſp. inanem prorſus eſſe difficulta
<
lb
/>
tem; </
s
>
<
s
id
="
N18B25
">quia cubus ille quantumuis maximus in vacuo deſcendit velociùs
<
lb
/>
quàm in aliquo medio v.g.in aëre, igitur nunquam augmentum veloci
<
lb
/>
tatis infinitum eſt; quippe inter duos gradus velocitatis infiniti ſunt
<
lb
/>
poſſibiles. </
s
>
<
s
id
="
N18B2F
">v. g. ſit velocitas, quam habet in vacuo vt 2. illa verò quàm
<
lb
/>
habet in aëre vt 1. ſi creſcat velocitas iuxta has minutias ſingulis inſtan
<
lb
/>
tibus 1/2 1/4 1/8 (1/16) (1/32), atque ita deinceps; quàm porrò multæ ſunt huiuſmodi
<
lb
/>
progreſſiones 1/3 1/6 (1/12) (1/24) &c. </
s
>
<
s
id
="
N18B3D
">igitur obiectiones illæ non euertunt Gali
<
lb
/>
lei ſententiam. </
s
>
</
p
>
<
p
id
="
N18B42
"
type
="
main
">
<
s
id
="
N18B44
">Inde idem Galileus oſtendere videtur cur atomi materiæ etiam gra
<
lb
/>
uiſſimæ, ſeu granula pulueris motu tardiſſimo deſcendant in aëre vel in
<
lb
/>
aqua; quia ſcilicet per illam diuiſionem ita imminutæ ſunt vires graui
<
lb
/>
tatis, vt iam reſiſtentiam medij ſuperare non poſſint. </
s
>
</
p
>
<
p
id
="
N18B4E
"
type
="
main
">
<
s
id
="
N18B50
">Sed videtur eſſe grauiſſima difficultas, ſint enim duo cubi, maior B
<
lb
/>
F, minor GM, & vterque innatet medio liquido duplo grauiori; </
s
>
<
s
id
="
N18B56
">certè ex
<
lb
/>
tabit maior toto rectangulo CA æquali CF, & minor toto rectangulo
<
lb
/>
KH æquali KM; </
s
>
<
s
id
="
N18B5E
">igitur eſt eadem proportio grauitatis maioris ad reſi
<
lb
/>
ſtentiam medij in grauitatione, quæ eſt minoris; igitur & in motu. </
s
>
</
p
>
<
p
id
="
N18B64
"
type
="
main
">
<
s
id
="
N18B66
">Reſponderi poteſt eſſe maximam diſparitatem inter grauitationem, & </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>