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
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
<
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
="
N270EE
">
<
p
id
="
N284AD
"
type
="
main
">
<
s
id
="
N284BD
">
<
pb
pagenum
="
399
"
xlink:href
="
026/01/433.jpg
"/>
ſcilicet toto niſu applicata, ſit etiam longitudo AC dupla AB: </
s
>
<
s
id
="
N284C9
">dico
<
lb
/>
quod eodem tempore H acquiret æquale ſpatium ſcilicet CAD; </
s
>
<
s
id
="
N284CF
">igitur
<
lb
/>
CAD eſt 1/4 CAG, quia eſt æquale BAF; </
s
>
<
s
id
="
N284D5
">igitur CD eſt 1/4 CG, ſed
<
lb
/>
CG eſt duplus BF; </
s
>
<
s
id
="
N284DB
">igitur CD eſt ſubduplus BF; </
s
>
<
s
id
="
N284DF
">igitur velocitas ex
<
lb
/>
tremitatis C in CA eſt ſubdupla velocitatis B in BA: </
s
>
<
s
id
="
N284E5
">adde quod AC cùm
<
lb
/>
numerus partium AC ſit duplus numeri partium AB, & cùm in eadem
<
lb
/>
proportione diſtribuatur impetus AC, & AB; certè partes maioris ſi
<
lb
/>
comparentur cum partibus proportionalibus minoris, ſubduplam tan
<
lb
/>
tùm habebunt portionem. </
s
>
</
p
>
<
p
id
="
N284F1
"
type
="
main
">
<
s
id
="
N284F3
">Sextò, ictus inflicti à malleis, quorum manubria diuerſam longitu
<
lb
/>
dinem habent, ſuppoſito eodem angulo, ſunt vt longitudines; </
s
>
<
s
id
="
N284F9
">ſi enim
<
lb
/>
eo tempore, quo AB facit ſpatium BAF, AC facit CAD; </
s
>
<
s
id
="
N284FF
">certè æquali
<
lb
/>
tempore AC faciet DAG, vt conſtat ex natura motus accelerati; </
s
>
<
s
id
="
N28505
">
<
lb
/>
igitur acquirit
<
expan
abbr
="
tantũdem
">tantundem</
expan
>
impetus; </
s
>
<
s
id
="
N2850E
">ſed eo tempore, quo AC decurrit
<
lb
/>
CAD, acquirit æqualem impetum AB dum percurrit BAF, vt patet ex
<
lb
/>
dictis; </
s
>
<
s
id
="
N28516
">igitur AC decurſo CAG habet duplum impetum AB decurſo
<
lb
/>
BAF; </
s
>
<
s
id
="
N2851C
">igitur dupla eſt vis ictus; </
s
>
<
s
id
="
N28520
">igitur ictus ſunt in ratione ſubdupli
<
lb
/>
cata CAG, BAF; igitur vt ACAB. </
s
>
</
p
>
<
p
id
="
N28526
"
type
="
main
">
<
s
id
="
N28528
">Septimò, diceret aliquis velocitatem C decurſo CD, eſſe ſubduplam
<
lb
/>
velocitatis B decurſo BF; </
s
>
<
s
id
="
N2852E
">ſed velocitas C, decurſo CG, eſt dupla velo
<
lb
/>
citatis eiuſdem C decurſo CD; </
s
>
<
s
id
="
N28534
">igitur velocitas C, decurſo CG, eſt
<
lb
/>
æqualis velocitati B, decurſo BF; igitur æqualis ictus. </
s
>
<
s
id
="
N2853A
">Reſp. conceſſa
<
lb
/>
primâ conſequentiâ, vltimâ verò negatâ; </
s
>
<
s
id
="
N28540
">quia non tantùm impetus
<
lb
/>
puncti C incutit ictum ſed totius CA, qui cenſetur eſſe collectus in
<
lb
/>
malleo in quo eſt quaſi centrum huius impetus, vt iam explicuimus
<
lb
/>
aliàs; ſed velocitas totius CA confecto CAD eſt æqualis velocitati
<
lb
/>
totius BA confecto BAF, cuius velocitas CA confecto CAG eſt dupla,
<
lb
/>
vt iam probatum eſt. </
s
>
</
p
>
<
p
id
="
N2854E
"
type
="
main
">
<
s
id
="
N28550
">Octauò, hinc ictus CA confecto CAD eſt æqualis ictui AB con
<
lb
/>
fecto BAF, & ictus CA confecto CI duplo CD eſt ad ictum CA con
<
lb
/>
fecto CD, vt radix CA ad radicem CI: </
s
>
<
s
id
="
N28558
">hinc vides hunc motum con
<
lb
/>
uenire in eo cum recto, quòd ſcilicet ictus inflictus motu recto à mi
<
lb
/>
nori mole, ſit ad ictum maioris, ſuppoſita linea motus æquali in ratio
<
lb
/>
ne ſubduplicata ponderum; quòd dicitur etiam de motu circulari duo
<
lb
/>
rum fuſtium inæqualium, quorum ictus ſunt in ratione ſubduplicata
<
lb
/>
longitudinum, aſſumptis duntaxat arcubus æqualibus ab extremitate
<
lb
/>
vtriuſque decurſis. </
s
>
</
p
>
<
p
id
="
N28568
"
type
="
main
">
<
s
id
="
N2856A
">Nonò, cum mallei ſunt diuerſi ponderis, & longitudinis, facilè co
<
lb
/>
gnoſci poterit proportio ictuum; </
s
>
<
s
id
="
N28570
">eſt enim compoſita ex ratione lon
<
lb
/>
gitudinum & ſubduplicata ponderum v.g. ſit malleus A, cuius longitu
<
lb
/>
do ſit 2. pondus 4. ſit malleus B cuius longitudo ſit pondus; </
s
>
<
s
id
="
N2857A
">rectè ra
<
lb
/>
tio longitudinum eſt 2/3, & ſubduplicata ponderum eſt 2/3; </
s
>
<
s
id
="
N28580
">ducatur vna
<
lb
/>
in aliam, vt euadat compoſita ſcilicet 4/1 vel longitudo A ſit I, & B 2; </
s
>
<
s
id
="
N28586
">
<
lb
/>
habebitur ratio ſubduplicata ponderum 2/1, & ratio longitudinum 3/2; </
s
>
<
s
id
="
N2858D
">
<
lb
/>
ducatur vna in aliam, habebitur ratio compoſita 2/2; </
s
>
<
s
id
="
N28594
">igitur ſunt æqua-</
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>