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
>
131
132
133
134
135
136
137
138
139
140
<
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
="
N1A407
">
<
p
id
="
N1B604
"
type
="
main
">
<
s
id
="
N1B61D
">
<
pb
pagenum
="
172
"
xlink:href
="
026/01/204.jpg
"/>
verò qui propiùs accedit ad horizontalem citò deſcendit infra planum
<
lb
/>
horizontale, tùm quia propior eſt, tum quia citò naturalis impetus
<
lb
/>
acceleratur; </
s
>
<
s
id
="
N1B62A
">igitur plùs acquirit in perpendiculari deorſum, quàm in
<
lb
/>
horizontali; quæ omnia ex certis principiis, non fictitiis dedu
<
lb
/>
cuntur. </
s
>
</
p
>
<
p
id
="
N1B632
"
type
="
main
">
<
s
id
="
N1B634
">Tertiò, obſeruabis talem eſſe hypotheſim illam Paraboliſtarum, de
<
lb
/>
qua ſuprà; </
s
>
<
s
id
="
N1B63A
">ſit enim iactus verticalis EA; </
s
>
<
s
id
="
N1B63E
">medius EB; </
s
>
<
s
id
="
N1B642
">certè ex eorum
<
lb
/>
etiam principio eo tempore, quo motu æquabili percurreret mobile ſpa
<
lb
/>
tium EA, motu naturaliter retardato percurreret ſpatium EG ſubdu
<
lb
/>
plum; </
s
>
<
s
id
="
N1B64C
">atqui percurrit EG eo tempore, quo idem percurreret GE motu
<
lb
/>
naturaliter accelerato; </
s
>
<
s
id
="
N1B652
">ſed percurret inclinatam EC eo tempore quo
<
lb
/>
percurret EA, ſcilicet motu æquabili; </
s
>
<
s
id
="
N1B658
">ſunt enim æquales: Volunt autem
<
lb
/>
FE diuidi in 16. partes, & ED in 8. ducique parallelas HQ IP, &c. </
s
>
<
s
id
="
N1B65E
">& ac
<
lb
/>
cipi VR (1/16) FE, ita vt RQ ſit ad RH vt 9.ad 7. & PS (4/16) & NT (9/16), vel O
<
lb
/>
T (1/16) PS (4/16) PR (9/16); </
s
>
<
s
id
="
N1B666
">igitur eo tempore, quo mobile eſſet in IX, erit in M; </
s
>
<
s
id
="
N1B66A
">
<
lb
/>
igitur motus naturalis acquiſiuit XM, id eſt 1/4 AE; </
s
>
<
s
id
="
N1B66F
">igitur eo tempore quo
<
lb
/>
eſſet in B erit in D; </
s
>
<
s
id
="
N1B675
">igitur motus naturalis acquiſiuit BD quadruplum X
<
lb
/>
M; </
s
>
<
s
id
="
N1B67B
">nam ſi vno tempore motu æquabili conficit EX, duobus conficit E
<
lb
/>
D & ſi motu naturaliter accelerato conficit vno tempore XM, duobus
<
lb
/>
conficit BD iuxta proportionem Galilei, in qua ſpatia ſunt vt temporum
<
lb
/>
quadrata; </
s
>
<
s
id
="
N1B685
">& quo tempore motu æquabili conficeret EA, vel EB naturali
<
lb
/>
conficeret GE vel CZ æqualem GE; ducatur igitur linea per puncta E.
<
lb
/>
RS, OM, hæc eſt ſemiparabola cui ſi addas MZD, habebis totam ampli
<
lb
/>
tudinem Parabolæ ED, hoc eſt totum ſpatium, quod acquirit in plano
<
lb
/>
horizontali ED iactus medius EB. </
s
>
</
p
>
<
p
id
="
N1B692
"
type
="
main
">
<
s
id
="
N1B694
">Si verò ſit inclinata EY; </
s
>
<
s
id
="
N1B698
">vt habeatur iuxta hanc hypotheſim amplitu
<
lb
/>
do horizontalis; </
s
>
<
s
id
="
N1B69E
">fiat ſemicirculus centro G, ſemidiametro GE; </
s
>
<
s
id
="
N1B6A2
">ſit per
<
lb
/>
pendicularis YK, erit ſubdupla amplitudo; </
s
>
<
s
id
="
N1B6A8
">ſicut perpendicularis XL de
<
lb
/>
finit ſubduplam amplitudinem LE iactus EB; </
s
>
<
s
id
="
N1B6AE
">ſimiliter YK definit ſubdu
<
lb
/>
plam amplitudinem iactus E 4.3. nam arcus YX eſt æqualis arcui X 4.
<
lb
/>
igitur anguli YEC, CE. 3. ſunt æquales; hinc iactus ſunt æquales ſupra, &
<
lb
/>
infra grad.45. vt autem habeatur altitudo Parabolæ ſubdupla XL eſt al
<
lb
/>
titudo Parabolæ iactus EC, ſubdupla YX eſt altitudo iactus EY, ſubdu
<
lb
/>
pla 4.K eſt altitudo iactus E 3. </
s
>
</
p
>
<
p
id
="
N1B6BD
"
type
="
main
">
<
s
id
="
N1B6BF
">Ex his facilè iuxta hypetheſim tabulæ omnium iactuum, cuiuſlibet
<
lb
/>
eleuationis conſtrui poſſunt; </
s
>
<
s
id
="
N1B6C5
">de quibus habes plura apud Galileum in
<
lb
/>
dialogis, & plurima apud Merſennum in Baliſtica; </
s
>
<
s
id
="
N1B6CB
">quare ab illis abſti
<
lb
/>
neo: præſertim cum ſit falſa illa hypotheſis, eiuſque ſectatores vltrò fa
<
lb
/>
teantur tabulas illas non parum à vero abeſſe, de quo vide Merſennum
<
lb
/>
prop. 30. Baliſt. </
s
>
</
p
>
<
p
id
="
N1B6D6
"
type
="
main
">
<
s
id
="
N1B6D8
">Quartò, poſſunt iuxta noſtram hypotheſim tabulæ nouæ conſtrui, quod
<
lb
/>
& ego præſtarem, niſi prorſus inutiles eſſent; </
s
>
<
s
id
="
N1B6DE
">quare prudenter omiſſas
<
lb
/>
eſſe prudentes omnes cenſebunt, cum hîc calculatorem non
<
expan
abbr
="
agã
">agam</
expan
>
, ſed phi
<
lb
/>
loſophum; </
s
>
<
s
id
="
N1B6EA
">id certè tolerari potuit in analyticis, quæ ſine calculationibus
<
lb
/>
intelligi non poſſunt; </
s
>
<
s
id
="
N1B6F0
">ſed minimè ferendum in Phyſica, quæ ſucculen-</
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>