Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
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 - 491
>
Scan
Original
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
<
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 - 491
>
page
|<
<
of 491
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
id
="
N15AC3
">
<
p
id
="
N18B64
"
type
="
main
">
<
s
id
="
N18B66
">
<
pb
pagenum
="
127
"
xlink:href
="
026/01/159.jpg
"/>
motum; </
s
>
<
s
id
="
N18B6F
">ſit enim cubus BD qui deſcendat per totam AH; </
s
>
<
s
id
="
N18B73
">haud dubiè
<
lb
/>
cum ſpatium DI, contineat 3. cubos medij æquales DB, eos debet remo
<
lb
/>
uere in ſuo deſcenſu; </
s
>
<
s
id
="
N18B7B
">ſit autem cubus BG; </
s
>
<
s
id
="
N18B7F
">haud dubiè, cum ſit eadem pro
<
lb
/>
portio cubi AE ad cubum medij DM, quæ eſt cubi BG ad cubum me
<
lb
/>
dij FL, eodem tempore vterque cubum medij ſuppoſiti è ſuo loco extru
<
lb
/>
det; igitur eo tempore, quo AE expellet 3. DI, FL extrudet 3. EO, ergo
<
lb
/>
æquabili tempore inæquale ſpatium percurrunt. </
s
>
</
p
>
<
p
id
="
N18B8B
"
type
="
main
">
<
s
id
="
N18B8D
">Dices ergo ſpatia ſunt vt latera: </
s
>
<
s
id
="
N18B91
">Reſponderi poteſt hoc reuerâ per ſe
<
lb
/>
eſſe debere; </
s
>
<
s
id
="
N18B97
">ſed quia cubus DM vt extrudatur, maiorem debet facere cir
<
lb
/>
cuitionem, vt à fronte retrò eat, velociori motu extrudi debet; </
s
>
<
s
id
="
N18B9D
">igitur vi
<
lb
/>
res ſuas in eo conſumit maiori ex parte cubus AE; hinc compenſatio eſſe
<
lb
/>
videtur. </
s
>
</
p
>
<
p
id
="
N18BA5
"
type
="
main
">
<
s
id
="
N18BA7
">Vt ſolui poſſit præſens difficultas, quæ cettè maxima eſt, totam rem
<
lb
/>
iſtam paulò fuſiùs eſſe explicandam iudico. </
s
>
<
s
id
="
N18BAC
">Primò itaque certum eſt
<
lb
/>
partes medij, quæ prius in fronte erant, retroire; </
s
>
<
s
id
="
N18BB2
">hoc ipſum videmus in
<
lb
/>
naui quæ ſulcat aquas, hoc ipſum accidit in omni corpore natante etiam
<
lb
/>
immobili, quippe partes aquæ retinentur ab illa membranula, de qua ſu
<
lb
/>
prà; </
s
>
<
s
id
="
N18BBC
">ſic enim ſæpè aſſurgunt, & intumeſcunt ſupra labra vaſis; </
s
>
<
s
id
="
N18BC0
">cur verò
<
lb
/>
continui penè circulares limbi dilatentur: </
s
>
<
s
id
="
N18BC6
">Reſp. nullo flante vento
<
lb
/>
vix aliquem circulum huiuſmodi in ſuperficie aquæ apparere à fronte,
<
lb
/>
ſed tantùm à tergo, & lateribus, quaſi ad inſtar pyramidis; ſed de his aliàs
<
lb
/>
fusè. </
s
>
</
p
>
<
p
id
="
N18BD0
"
type
="
main
">
<
s
id
="
N18BD2
">Secundò certum eſt numerum partium, quas impellit maior cubus A
<
lb
/>
E; </
s
>
<
s
id
="
N18BD8
">eſſe quadruplum numeri partium, quas impellit cubus BG: </
s
>
<
s
id
="
N18BDC
">ſint autem
<
lb
/>
v.g.8. partes reſiſtentes cubo maiori, ſunt duæ reſiſtentes cubo minoris;
<
lb
/>
ſed vires cubi maioris ſunt ad vires cubi minoris vt 8. ad 1. igitur vires
<
lb
/>
vt 8. ſuperabunt faciliùs reſiſtentiam vt 8. quam vires vt 1. reſiſtentiam
<
lb
/>
vt 2.vnde duplò velociùs moueretur, niſi aër duplò velociori motu amo
<
lb
/>
uendus eſſet, quod vt clarius explicetur;</
s
>
</
p
>
<
p
id
="
N18BEA
"
type
="
main
">
<
s
id
="
N18BEC
">Sit cubus maior AF octuplus cubi GI, vt iam dictum eſt; </
s
>
<
s
id
="
N18BF0
">haud
<
lb
/>
dubiè aër qui ſubſtat cubo AF eſt quadruplus aëris, qui ſubſtat cubo GI,
<
lb
/>
vnde ſi vires cubi AF eſſent quadruplæ virium cubi GI, eſſet æqualis
<
lb
/>
proportio in vtroque virium, & reſiſtentiæ; </
s
>
<
s
id
="
N18BFA
">ſed ſunt octuplæ; </
s
>
<
s
id
="
N18BFE
">igitur faci
<
lb
/>
liùs vincetur reſiſtentia; </
s
>
<
s
id
="
N18C04
">igitur amouebitur aër faciliùs; ſit autem aër
<
lb
/>
expreſſus in globulis EFB, &c. </
s
>
<
s
id
="
N18C0A
">cuius ſuperficies cum relinquatur retrò
<
lb
/>
verſus AB, & occupetur illa quæ eſt in fronte EF; </
s
>
<
s
id
="
N18C10
">haud dubiè partes
<
lb
/>
hinc inde diuiduntur in D, & ſegmentum NB tranſit in locum relicti
<
lb
/>
loci BC, FN tranſit in NB, & DF, in FN; </
s
>
<
s
id
="
N18C18
">idem dico de ſegmentis oppo
<
lb
/>
ſitis; </
s
>
<
s
id
="
N18C1E
">idem prorſus dico de minori globo; </
s
>
<
s
id
="
N18C22
">nam MH tranſit in HQ, & H
<
lb
/>
Q in QG, & QG in GL, idem dico de ſegmentis oppoſitis; </
s
>
<
s
id
="
N18C28
">igitur hæc
<
lb
/>
eſt circuitio partium medij, quàm ſuprà indicauimus; hinc aër, qui amo
<
lb
/>
uetur à corpore graui deſcendente moueri debet neceſſariò velociùs
<
lb
/>
quàm ipſum corpus graue, quod deſcendit. </
s
>
</
p
>
<
p
id
="
N18C32
"
type
="
main
">
<
s
id
="
N18C34
">In hoc porrò obſerua ſegmentum MH moueri tardiùs quàm DF; </
s
>
<
s
id
="
N18C38
">quia
<
lb
/>
conficit ſubduplum ſpatium, eo tempore, quo DF conficit duplum; </
s
>
<
s
id
="
N18C3E
"/>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>