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
>
281
282
283
284
285
286
287
288
289
290
<
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
="
N1EE3A
">
<
p
id
="
N20699
"
type
="
main
">
<
s
id
="
N206CA
">
<
pb
pagenum
="
258
"
xlink:href
="
026/01/292.jpg
"/>
reſiſtentia autem conſideratur in globo impacto, cuius reſiſtitur motui; </
s
>
<
s
id
="
N206D2
">
<
lb
/>
ceſſio verò in alio, qui motui cedit; </
s
>
<
s
id
="
N206D7
">appello autem infinitam reſiſten
<
lb
/>
tiam cui nulla reſpondet ceſſio; </
s
>
<
s
id
="
N206DD
">nihil enim aliud præſtaret infinita; </
s
>
<
s
id
="
N206E1
">por
<
lb
/>
rò cum nulla eſt ceſſio, determinatio noua eſt dupla prioris, vt demon
<
lb
/>
ſtratum eſt ſuprà; </
s
>
<
s
id
="
N206E9
">igitur nihil prioris remanet; </
s
>
<
s
id
="
N206ED
">cum verò nulla eſt reſi
<
lb
/>
ſtentia, tota prior remanet, & nulla eſt noua: </
s
>
<
s
id
="
N206F3
">denique cum ceſſio æqua
<
lb
/>
lis eſt reſiſtentiæ, tantùm remanet prioris quantùm eſt nouæ; </
s
>
<
s
id
="
N206F9
">igitur
<
lb
/>
vtraque æqualis eſt: Vnde vides, ni fallor, perfectam analogiam, &c. </
s
>
<
s
id
="
N206FF
">Ob
<
lb
/>
ſeruaſti ni fallor, quod in hac re potiſſimum eſt. </
s
>
<
s
id
="
N20704
">Primò, tunc eſſe infini
<
lb
/>
tam reſiſtentiam, cum nulla eſt ceſſio: vt in corpore reflectente prorſus
<
lb
/>
immobili. </
s
>
<
s
id
="
N2070C
">Secundò, tunc eſſe infinitam ceſſionem, cum nulla eſt reſi
<
lb
/>
ſtentia vt in vacuo. </
s
>
<
s
id
="
N20711
">Tertiò, æqualitatem ceſſionis, & reſiſtentiæ æquali
<
lb
/>
ter ab vtroque diſtare; tantùm enim eſt inter æqualitatem illam, & in
<
lb
/>
finitam ceſſionem quantum inter eandem æqualitatem, & infinitam re
<
lb
/>
ſiſtentiam. </
s
>
<
s
id
="
N2071B
">Quartò ab infinita ceſſione ad æqualitatem accedere nouam
<
lb
/>
determinationem æqualem priori. </
s
>
<
s
id
="
N20720
">Quintò, ab eadem æqualitate ad in
<
lb
/>
finitam reſiſtentiam
<
expan
abbr
="
tantũdem
">tantundem</
expan
>
accedere, ac proinde nouam determi
<
lb
/>
nationem eſſe duplam prioris; ex quo etiam probatur æqualitas angulo
<
lb
/>
rum incidentiæ, & reflexionis. </
s
>
</
p
>
<
p
id
="
N2072E
"
type
="
main
">
<
s
id
="
N20730
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
67.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N2073C
"
type
="
main
">
<
s
id
="
N2073E
">
<
emph
type
="
italics
"/>
Si globus maior impingatur in minorem per lineam obliquam ſemper re
<
lb
/>
flectitur, licèt aliquando inſenſibiliter, quia fit determinatio mixta ex noua &
<
lb
/>
priore, cuius proportio determinari poteſt
<
emph.end
type
="
italics
"/>
; ſit enim determinatio noua ad
<
lb
/>
priorem in linea incidentiæ perpendiculari vt C
<
foreign
lang
="
grc
">δ</
foreign
>
ad CA fig. </
s
>
<
s
id
="
N20751
">Th. 65.
<
lb
/>
vel vt AZ ad AF, ſit linea incidentiæ obliqua EA producta in B; </
s
>
<
s
id
="
N20757
">
<
lb
/>
certè ſi determinatio noua per lineam incidentiæ obliquam EA eſt ad
<
lb
/>
priorem, vt AZ ad AF; </
s
>
<
s
id
="
N2075E
">ſumatur B
<
foreign
lang
="
grc
">υ</
foreign
>
æqualis AY; </
s
>
<
s
id
="
N20766
">ducantur Y
<
foreign
lang
="
grc
">υ</
foreign
>
A
<
foreign
lang
="
grc
">υ</
foreign
>
<
lb
/>
dico A
<
foreign
lang
="
grc
">υ</
foreign
>
eſſe lineam reflexionis, quia eſt mixta ex AY & AB, vt con
<
lb
/>
ſtat ex dictis; Idem dico de aliis incidentiæ. </
s
>
</
p
>
<
p
id
="
N20779
"
type
="
main
">
<
s
id
="
N2077B
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
68.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N20787
"
type
="
main
">
<
s
id
="
N20789
">
<
emph
type
="
italics
"/>
Si globus in æqualem globum impingatur, qui æquali impetu in eum etiam
<
lb
/>
impingitur per lineam connectentem centra
<
emph.end
type
="
italics
"/>
; </
s
>
<
s
id
="
N20794
">vterque retro agitur æquali
<
lb
/>
pœnitus motu, quo ſuam lineam vlteriùs propagaſſet, ſi in alterum glo
<
lb
/>
bum non incidiſſet per Th.137.lib.1.ſi autem inæquali impetu mouean
<
lb
/>
tur, non eſt determinatum ſuprà; poteſt autem ſit determinari, fig. </
s
>
<
s
id
="
N2079E
">1.
<
lb
/>
Tab.1.ſit globus A impactus in alium B motu vt 4. eodem tempore, quo
<
lb
/>
globus B impingitur in A motu vt 2. certè globus B retrò agetur motu vt
<
lb
/>
4. quippè ſiue moueatur æquali motu, ſiue minori, ſiue etiam quieſcat,
<
lb
/>
ſemper æquali motu à globo A impelletur; quod certè mirabile eſt; pri
<
lb
/>
mum conſtat per Th. 135.lib. tertium conſtat per Theor.128.lib.1. </
s
>
<
s
id
="
N207AC
">Igi
<
lb
/>
tur ſecundum conſtat, ſi enim impellitur motu vt 4.dum in contrariam
<
lb
/>
partem mouetur vt 4. multò magis ſi tantùm mouetur vt 2. & ſi tantùm
<
lb
/>
impellitur motu vt 4. dum quieſcit multò magis motu vt 4. dum in </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>