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
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
<
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
="
N1EE3A
">
<
p
id
="
N1FBAD
"
type
="
main
">
<
s
id
="
N1FBB5
">
<
pb
pagenum
="
249
"
xlink:href
="
026/01/281.jpg
"/>
vel inæqualis, ſi æqualis, certè toto motu multatur globus impactus; </
s
>
<
s
id
="
N1FBBE
">ſi
<
lb
/>
inæqualis, vel minor, vel maior; </
s
>
<
s
id
="
N1FBC4
">ſi minor, certè eſt aliquis motus refle
<
lb
/>
xus æqualis priori minùs ea parte, quæ reflectenti imprimitur, donec
<
lb
/>
tandem nullus imprimatur motus; </
s
>
<
s
id
="
N1FBCC
">tunc enim reflexus eſt priori æqua
<
lb
/>
lis; ſi verò maior imprimitur, fortè nullus eſt reflexus poſito ſcilicet ra
<
lb
/>
dio incidentiæ perpendiculari, minor tamen erit idem motus globi im
<
lb
/>
pacti vlteriùs per eandem lineam propagati. </
s
>
<
s
id
="
N1FBD6
">v.g.ſi ſit duplus detrahitur
<
lb
/>
priori motui 1/2, ſi triplus 1/3, ſi quadruplus 1/4, atque ita deinceps; ſi de
<
lb
/>
nique infinities velocior ex ſuppoſitione impoſsibili detrahitur aliquid,
<
lb
/>
quod habet ad priorem motum proportionem minoris inæqualitatis in
<
lb
/>
finitam. </
s
>
</
p
>
<
p
id
="
N1FBE2
"
type
="
main
">
<
s
id
="
N1FBE4
">Decimò, ex his rectè concludi poteſt non produci infinita puncta im
<
lb
/>
petus, nec eſſe infinitas partes ſubjecti actu; </
s
>
<
s
id
="
N1FBEA
">alioqui punctum mouere
<
lb
/>
tur motu infinito, qui repugnat: </
s
>
<
s
id
="
N1FBF0
">præterea nullum eſſet corpus quamtum
<
lb
/>
nis magnum, cui modico ictu non imprimatur impetus, ſi impetus con
<
lb
/>
flat infinitis partibus; </
s
>
<
s
id
="
N1FBF8
">quare in vtraque progreſsione ſiſtendum eſt;
<
lb
/>
primò in nulla ceſsione & tota reſiſtentia, cum ſcilicet plura ſunt pun
<
lb
/>
cta ſubjecti, quàm impetus. </
s
>
<
s
id
="
N1FC00
">Secundò cum reflectens tantùm conſtat
<
lb
/>
vnico puncto, in quo ſcilicet impetus finitus impreſſus præſtat velociſ
<
lb
/>
ſimum motum quem præſtare poteſt; </
s
>
<
s
id
="
N1FC08
">licèt enim dato quocunque motu
<
lb
/>
poſsit dari velocior, non tamen cum dato impetu finito determinato ſi
<
lb
/>
ne acceſsione alterius; ſed iam interruptam noſtrorum Theorematum ſe
<
lb
/>
riem proſequamur. </
s
>
</
p
>
<
p
id
="
N1FC12
"
type
="
main
">
<
s
id
="
N1FC14
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
41.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N1FC20
"
type
="
main
">
<
s
id
="
N1FC22
">
<
emph
type
="
italics
"/>
Determinatio noua cuiuſlibet alterius anguli incidentiæ obliqui, vel acuti,
<
lb
/>
eſt ad priorem, vt duplum ſinus recti eiuſdem anguli ad ſinum totum.
<
emph.end
type
="
italics
"/>
v. g.
<
lb
/>
ſit radius incidentiæ AD in
<
expan
abbr
="
planũ
">planum</
expan
>
immobile BDF: </
s
>
<
s
id
="
N1FC35
">dico nouam de
<
lb
/>
terminationem eſſe ad priorem, vt duplum AB, id eſt BC ad DA. De
<
lb
/>
monſtro; </
s
>
<
s
id
="
N1FC3D
">cum enim ictus per AD obliquam ſit ad ictum per AB per
<
lb
/>
pendicularem, vt AB ad AD, vt conſtat ex dictis, tùm ſupra, tùm in lib.
<
lb
/>
de planis inclinatis; </
s
>
<
s
id
="
N1FC45
">ictus enim habent eam proportionem, quam ha
<
lb
/>
bent grauitationes; </
s
>
<
s
id
="
N1FC4B
">ſed grauitatio in inclinatam AD eſt ad grauitatio
<
lb
/>
nem in horizontalem DB, vt DB ad DA; </
s
>
<
s
id
="
N1FC51
">igitur ictus inflictus plano
<
lb
/>
DB per inclinatam AD eſt ad inflictum per ipſam perpendicularem
<
lb
/>
GD vt PR æqualem AB ad DA; </
s
>
<
s
id
="
N1FC59
">nam ictus in planum AD per GD
<
lb
/>
idem eſt cum ictu in DB per AD: </
s
>
<
s
id
="
N1FC5F
">ſimiliter ſit incidens KD, ſitque an
<
lb
/>
gulus IDR æqualis KDG, ictus in ID per GD eſt æqualis ictui in
<
lb
/>
DR per KD; </
s
>
<
s
id
="
N1FC67
">ſunt enim GDI, KDR æquales; </
s
>
<
s
id
="
N1FC6B
">ſed ictus in ID eſt, vt
<
lb
/>
grauitatio in eandem ID; </
s
>
<
s
id
="
N1FC71
">hæc autem in inclinatam DI, ad aliam in
<
lb
/>
horizontalem DR vt DR ad DI; </
s
>
<
s
id
="
N1FC77
">igitur ictus in DI per GD eſt ad
<
lb
/>
ictum in DR per GD, vt DR vel LI ad ID; </
s
>
<
s
id
="
N1FC7D
">ſed K
<
foreign
lang
="
grc
">β</
foreign
>
eſt æqualis IL; </
s
>
<
s
id
="
N1FC85
">
<
lb
/>
nam arcus KG & IR ſunt æquales; </
s
>
<
s
id
="
N1FC8A
">igitur ictus per GD in DR eſt ad
<
lb
/>
ictum in DR per KD eſt vt DK ad K
<
foreign
lang
="
grc
">β</
foreign
>
; ſed impedimentum eſt vt ictus. </
s
>
<
s
id
="
N1FC94
">
<
lb
/>
reſiſtentia vt impedimentum, determinatio noua, vt reſiſtentia; </
s
>
<
s
id
="
N1FC99
">igitur </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>