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
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
<
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
="
N1A407
">
<
pb
pagenum
="
158
"
xlink:href
="
026/01/190.jpg
"/>
<
p
id
="
N1A914
"
type
="
main
">
<
s
id
="
N1A916
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
17.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N1A922
"
type
="
main
">
<
s
id
="
N1A924
">
<
emph
type
="
italics
"/>
Si motus mixtus conſtet ex æquabili, & accelerato naturaliter ſit per li
<
lb
/>
neam curuam
<
emph.end
type
="
italics
"/>
; </
s
>
<
s
id
="
N1A92F
">ſit enim impetus per AF motu æquabili, & per AC motu
<
lb
/>
accelerato naturaliter, ita vt eo tempore quo percurritur ſeorſim ſpa
<
lb
/>
tium AB percurratur AD triplum; </
s
>
<
s
id
="
N1A937
">certè ex vtroque primo tempore re
<
lb
/>
ſultat linea motus mixti AE, ſecundo tempore EG, ſed AEG non eſt
<
lb
/>
recta; alioquin duo triangula ABE, ACG eſſent proportionalia, quod
<
lb
/>
eſt abſurdum. </
s
>
</
p
>
<
p
id
="
N1A941
"
type
="
main
">
<
s
id
="
N1A943
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
18.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N1A94F
"
type
="
main
">
<
s
id
="
N1A951
">
<
emph
type
="
italics
"/>
Hæc linea eſt Parabola
<
emph.end
type
="
italics
"/>
; </
s
>
<
s
id
="
N1A95A
">quod ipſe Galileus toties inſinuauit, & quiuis
<
lb
/>
etiam rudior Geometra intelliget; in quo diutiùs non hæreo, præſertim
<
lb
/>
cùm nullus ſit motus, qui conſtet ex æquabili, & naturaliter accelerato,
<
lb
/>
vt demonſtrabimus infrà. </
s
>
</
p
>
<
p
id
="
N1A964
"
type
="
main
">
<
s
id
="
N1A966
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
19.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N1A972
"
type
="
main
">
<
s
id
="
N1A974
">
<
emph
type
="
italics
"/>
Si motus mixtus conſtet ex æquabili & naturaliter retardato, fit per lineam
<
lb
/>
curuam
<
emph.end
type
="
italics
"/>
; ſi enim eo
<
expan
abbr
="
tẽpore
">tempore</
expan
>
quo per NE ſurſum proiicitur corpus graue
<
lb
/>
& conſequenter motu naturaliter retardato impellatur per NI motu
<
lb
/>
æquabili, diuidatur NI in 4. partes æquales v.g. ductis parallelis RD,
<
lb
/>
NE, PC, &c. </
s
>
<
s
id
="
N1A98B
">aſſumatur NS vel RM, cui affigatur quilibet numerus impar; </
s
>
<
s
id
="
N1A98F
">
<
lb
/>
putà 7. itaque RM ſint 7. ducatur HM parallelæ IN, aſſumatur QL 5.
<
lb
/>
ducatur GL parallela, accipiatur VK 3. ducatur FK: </
s
>
<
s
id
="
N1A996
">denique aſſumatur
<
lb
/>
FAI ducaturque AE parallela IN, & deſcribatur per puncta AKLMN,
<
lb
/>
linea curua; </
s
>
<
s
id
="
N1A99E
">hæc eſt Parabola, vt conſtat ex Geometria; </
s
>
<
s
id
="
N1A9A2
">nam ſi BK eſt 1.
<
lb
/>
CL erit 4. DM 9. EV 16. ſed æquales ſunt AF.AG.AH.AI. prioribus vt
<
lb
/>
patet; </
s
>
<
s
id
="
N1A9AA
">igitur ſagittæ ſunt vt quadrata
<
expan
abbr
="
applicatarũ
">applicatarum</
expan
>
; </
s
>
<
s
id
="
N1A9B2
">igitur hæc eſt Parabola;
<
lb
/>
igitur curua, atqui motus mixtus prædictus fieret per hanc lineam, nam
<
lb
/>
eo tempore quo mobile eſſet in S, erit in M, concurrit enim vterque im
<
lb
/>
petus pro rata, & eo tempore, quo eſſet in K erit in L, atque ita
<
lb
/>
deinceps. </
s
>
</
p
>
<
p
id
="
N1A9BE
"
type
="
main
">
<
s
id
="
N1A9C0
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Scholium.
<
emph.end
type
="
italics
"/>
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N1A9CC
"
type
="
main
">
<
s
id
="
N1A9CE
">Obſeruabis eſſe prorſus inuerſam prioris, quæ ſit ex motu æquabili, &
<
lb
/>
naturaliter accelerato; </
s
>
<
s
id
="
N1A9D4
">ſi enim per AE ſit æquabilis & æqualis priori
<
lb
/>
per NI, & per AI ſit acceleratus, ſi quo tempore peruenit in B motu æ
<
lb
/>
quabili perueniat in F motu accelerato; haud dubiè perueniet in K, mox
<
lb
/>
in L, &c. </
s
>
<
s
id
="
N1A9DE
">quia eadem proportione, ſed inuerſa quâ retardatur,
<
lb
/>
acceleratur; </
s
>
<
s
id
="
N1A9E4
">igitur ſi vltimo tempore retardati acquirit tantùm
<
lb
/>
YE; </
s
>
<
s
id
="
N1A9EA
">primo tempore æquali ſcilicet accelerati acquiret AF, atque ita
<
lb
/>
deinceps ſi per NE ſit retardatus, & per NI æquabilis linea motus mixti
<
lb
/>
erit NLA; </
s
>
<
s
id
="
N1A9F2
">ſi verò ſit per AI acceleratus, & per AE æquabilis æqualis
<
lb
/>
priori per NI, lineamosus mixti erit ALN eadem ſcilicet cum priori
<
lb
/>
mutatis tantùm terminis à quo, & ad quem; vtrùm verò in rerum natu
<
lb
/>
ra ſit huiuſmodi motus videbimus infrà. </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>