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
="
N2136B
">
<
p
id
="
N21AB5
"
type
="
main
">
<
s
id
="
N21ADA
">
<
pb
pagenum
="
280
"
xlink:href
="
026/01/314.jpg
"/>
motus circularis ratione eiuſdem radij, vel mobilis explicari per ſpatia
<
lb
/>
magis, vel minùs communicantia; </
s
>
<
s
id
="
N21AE5
">at verò velocitatem motus recti per
<
lb
/>
inſtantia maiora, & minora: </
s
>
<
s
id
="
N21AEB
">Sed hæc fusè in Metaphyſica explicabimus; </
s
>
<
s
id
="
N21AEF
">
<
lb
/>
neque hîc contendimus dari vel puncta, vel inſtantia; </
s
>
<
s
id
="
N21AF4
">ſed tantùm poſito
<
lb
/>
quod dentur, ita ſolui poſſe argumentum illud, quod vulgò ducitur ex
<
lb
/>
motu circulari, quo reuerâ puncta Mathematica non tamen phyſica pro
<
lb
/>
fligantur: </
s
>
<
s
id
="
N21AFE
">ſimiliter ſolues argumentum illud vix triobolare, quo dicuntur
<
lb
/>
eſſe tot puncta in minore circulo, quot in maiore, eo quod iidem radij
<
lb
/>
vtrumque ſecent, quia ſi duo radij ad duo puncta immediata maioris
<
lb
/>
terminentur, penetrantur inadæquatè in ſectione minoris circuli; ſed
<
lb
/>
de hoc aliàs. </
s
>
</
p
>
<
p
id
="
N21B0A
"
type
="
main
">
<
s
id
="
N21B0C
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
19.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N21B18
"
type
="
main
">
<
s
id
="
N21B1A
">
<
emph
type
="
italics
"/>
Motus circularis poteſt eſſe velocior, & tardior in infinitum
<
emph.end
type
="
italics
"/>
; </
s
>
<
s
id
="
N21B23
">quia quocun
<
lb
/>
que dato radio poteſt dari maior, & minor; </
s
>
<
s
id
="
N21B29
">immò poteſt compenſari
<
lb
/>
motus; </
s
>
<
s
id
="
N21B2F
">ſit enim radius EC diuiſus bifariam in H; </
s
>
<
s
id
="
N21B33
">certè ſi moueatur
<
lb
/>
EC circa centrum E; </
s
>
<
s
id
="
N21B39
">C mouebitur duplo velociùs quàm H, quia arcus
<
lb
/>
CN eſt duplus HT; </
s
>
<
s
id
="
N21B3F
">ſi tamen ſit radius AH; </
s
>
<
s
id
="
N21B43
">certè ſi poteſt moueri
<
lb
/>
æquè velociter, ſi enim aſſumatur H
<
foreign
lang
="
grc
">μ</
foreign
>
æqualis HT, & percurrat H
<
foreign
lang
="
grc
">μ</
foreign
>
<
lb
/>
eo tempore, quo alter radius EC percurrit CN, motus erit æqualis; </
s
>
<
s
id
="
N21B52
">quia
<
lb
/>
arcus CN & H
<
foreign
lang
="
grc
">μ</
foreign
>
ſunt æquales, vt conſtat: </
s
>
<
s
id
="
N21B5C
">poteſt etiam vectis longio
<
lb
/>
ris extremitas moueri motu æquali cum extremitate minoris; </
s
>
<
s
id
="
N21B62
">ſi enim
<
lb
/>
H extremitas HE percurrit H
<
foreign
lang
="
grc
">μ</
foreign
>
, & aſſumatur vectis duplus EC, diuida
<
lb
/>
tur H
<
foreign
lang
="
grc
">μ</
foreign
>
bifariam in T ducaturque ETN; </
s
>
<
s
id
="
N21B72
">certè ſi C conficiat CN co
<
lb
/>
dem tempore, vtraque extremitas C & H æquè velociter mouebitur; </
s
>
<
s
id
="
N21B78
">ſi
<
lb
/>
autem duplicetur adhuc longitudo radij, diuidatur HT bifariam in X,
<
lb
/>
ducaturque linea, atque ita deinceps; quæ omnia ſunt trita. </
s
>
</
p
>
<
p
id
="
N21B80
"
type
="
main
">
<
s
id
="
N21B82
">Ex his habes principium motus tardioris, & velocioris in infinitum; </
s
>
<
s
id
="
N21B86
">ſi
<
lb
/>
enim punctum H ſemper æquali tempore conficiat arcum H
<
foreign
lang
="
grc
">μ</
foreign
>
; </
s
>
<
s
id
="
N21B90
">certè
<
lb
/>
punctum C conficiet arcum C
<
foreign
lang
="
grc
">β</
foreign
>
duplum prioris; </
s
>
<
s
id
="
N21B9A
">quia EC eſt dupla
<
lb
/>
EH; </
s
>
<
s
id
="
N21BA0
">ſi verò accipiatur tripla, conficiet triplum, atque ita deinceps; </
s
>
<
s
id
="
N21BA4
">ſed
<
lb
/>
poteſt vectis eſſe longior, & longior in infinitum; </
s
>
<
s
id
="
N21BAA
">igitur motus velo
<
lb
/>
cior, & velocior; </
s
>
<
s
id
="
N21BB0
">ſi verò punctum C conficiat tantùm arcum CN æqua
<
lb
/>
lem H
<
foreign
lang
="
grc
">μ</
foreign
>
; haud dubiè punctum H mouebitur duplò tardiùs, & ſi acci
<
lb
/>
piatur vectis duplus CE, cuius extremitas percurrat arcum æqualem
<
lb
/>
CN, punctum H mouebitur quadruplò tardiùs, atque ita deinceps. </
s
>
</
p
>
<
p
id
="
N21BBE
"
type
="
main
">
<
s
id
="
N21BC0
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
20.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
id
="
N21BCC
"
type
="
main
">
<
s
id
="
N21BCE
">
<
emph
type
="
italics
"/>
Motus circularis non eſt naturaliter acceleratus.
<
emph.end
type
="
italics
"/>
</
s
>
<
s
id
="
N21BD5
"> Probatur, quia in infi
<
lb
/>
nitum intenderetur, quod eſſet abſurdum in natura; </
s
>
<
s
id
="
N21BDB
">caret enim termino: </
s
>
<
s
id
="
N21BDF
">
<
lb
/>
non eſt difficultas pro motu circulari violento quo v.g. vertitur rota in
<
lb
/>
circulo verticali, vel mixto, quo ſcilicet lapis ſphæricus ita deſcendit, vt
<
lb
/>
circa ſuum centrum etiam voluatur, vel indifferenti, quo recta vertitur
<
lb
/>
in circulo horizontali; </
s
>
<
s
id
="
N21BEC
">quia nullum eſt principium accelerationis iſto
<
lb
/>
rum motuum; </
s
>
<
s
id
="
N21BF2
">igitur eſt tantùm difficultas pro naturali circulari, quo </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>