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
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
<
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
="
N1C940
">
<
p
id
="
N1CAFE
"
type
="
main
">
<
s
id
="
N1CB15
">
<
pb
pagenum
="
197
"
xlink:href
="
026/01/229.jpg
"/>
ſum, AB, ſit planum inclinatum AE duplum AB; </
s
>
<
s
id
="
N1CB1E
">certè vbi mobile ex A
<
lb
/>
peruenit in E per planum AE, diſtat æquè à centro, ac ſi eſſet in B; </
s
>
<
s
id
="
N1CB24
">ſup
<
lb
/>
pono enim perpendiculares omnes deorſum eſſe parallelas per poſtula
<
lb
/>
tum; </
s
>
<
s
id
="
N1CB2C
">igitur non acceſſit propiùs ad centrum confecto ſpatio AE, quàm
<
lb
/>
confecto AB; </
s
>
<
s
id
="
N1CB32
">igitur impeditur in plano AE in ea proportione, in qua
<
lb
/>
AB eſt minor AE, nam haud dubiè AE eſt maior AB, ſit autem dupla v.g.
<
lb
/>
igitur impeditur non quidem totus motus ſed ſubduplus; </
s
>
<
s
id
="
N1CB3B
">in plano verò
<
lb
/>
AD impeditur iuxta cam proportionem in qua AB eſt minor AD, nec
<
lb
/>
enim aliunde poteſt impediri, cum ſcilicet impediatur tantùm, quia im
<
lb
/>
peditur linea ad quam ab ipſa natura determinatus eſt per Th.2. v. g.li
<
lb
/>
nea deorſum AB; </
s
>
<
s
id
="
N1CB49
">quippè lineæ comparantur inter ſe v.g. AE cum AB,
<
lb
/>
nam impedimentum lineæ AE in eo tantùm poſitum eſt, quòd difficiliùs
<
lb
/>
per illam quàm per AB ad
<
expan
abbr
="
cẽtrum
">centrum</
expan
>
feratur mobile, quod certum eſt, cum
<
lb
/>
imperimentum petatur a difficultate; </
s
>
<
s
id
="
N1CB59
">atqui difficultas motus, qui fit per
<
lb
/>
lineam AE in eo tantùm eſt, quòd ſit maius ſpatium conficiendum, igi
<
lb
/>
tur quò maius ſpatium eſt, maior difficultas eſt; igitur quò maior linea
<
lb
/>
eſt, maius impedimentum eſt. </
s
>
</
p
>
<
p
id
="
N1CB63
"
type
="
main
">
<
s
id
="
N1CB65
">Adde quod vel impedimenti proportio petitur ab angulis vel à Tan
<
lb
/>
gentibus, vel à ſecantibus; </
s
>
<
s
id
="
N1CB6B
">nihil enim aliud adeſſe poteſt; </
s
>
<
s
id
="
N1CB6F
">igitur per Ax.
<
lb
/>
3. poteſt tantùm impediri ab his; </
s
>
<
s
id
="
N1CB76
">ſed proportio impedimenti non poteſt
<
lb
/>
eſſe ab angulis; </
s
>
<
s
id
="
N1CB7C
">quod probatur primò, quia ſi ego quæram à te in qua
<
lb
/>
proportione motus per AE eſt tardior motu per AB; </
s
>
<
s
id
="
N1CB82
">dices in ea, in qua
<
lb
/>
angulus EAB eſt maior nullo angulo, quod eſt ridiculum: </
s
>
<
s
id
="
N1CB88
">Equidem di
<
lb
/>
ceres motum per AD eſſe velociorem motu per AE in ea proportione,
<
lb
/>
in qua angulus EAB eſt maior angulo BAD, quod tamen falſum eſt; </
s
>
<
s
id
="
N1CB90
">eſſet
<
lb
/>
enim ferè duplò maior, quod repugnat
<
expan
abbr
="
experimẽtis
">experimentis</
expan
>
omnibus; </
s
>
<
s
id
="
N1CB9A
">at ſi
<
expan
abbr
="
accipiã
">accipiam</
expan
>
<
lb
/>
angulum BA, qui ſit tantùm vnius gradus ſeu minuti, ſitque EAB angu
<
lb
/>
lus 60. grad. ſi velocitas motus per AI eſſet ad velocitatem motus per
<
lb
/>
AE vt angulus EAB ad angulum BAI, motus per AI eſſet ſexagecuplò
<
lb
/>
velocior, quàm per AE, quod eſt abſurdum: Diceret fortè aliquis in to
<
lb
/>
to angulo 90. GAB diſtribui huius impedimenti motum v.g. ſi angulus
<
lb
/>
BAI ſit 1.grad. </
s
>
<
s
id
="
N1CBB2
">motus per AI amittit tantùm (1/90) ſui motus; ſi angulus D
<
lb
/>
AB circiter 40.grad. </
s
>
<
s
id
="
N1CBB8
">motus per AD amittit tantùm (40/90), & per AE (60/90); cum
<
lb
/>
ſit angulus BAE 60. grad. igitur motus per AB eſt ad motum per AE
<
lb
/>
vt 3.ad 1. quod omnibus experimentis repugnat. </
s
>
</
p
>
<
p
id
="
N1CBC2
"
type
="
main
">
<
s
id
="
N1CBC4
">Secundò probatur, quia ſi fiat inclinata proximè accedens ad AG v.
<
lb
/>
g.4′.& aſſumatur alia accedens 3′. </
s
>
<
s
id
="
N1CBCA
">differentia anguli erit tantùm 2′. </
s
>
<
s
id
="
N1CBCD
">cum
<
lb
/>
tamen differentia longitudinis plani ſeu ſecantis huius, & illius, ſit ma
<
lb
/>
xima, vt conſtat ex canone ſinuum, igitur non imminueretur motus in
<
lb
/>
plano inclinato ratione impedimenti contra Th.4. quis enim neget eſſe
<
lb
/>
maximum impedimentum motus tantum ſpatium, quod
<
expan
abbr
="
conficiendũ
">conficiendum</
expan
>
eſt. </
s
>
</
p
>
<
p
id
="
N1CBDC
"
type
="
main
">
<
s
id
="
N1CBDE
">Tertiò, omnia experimenta conſentiunt huic Theoremati, & repu
<
lb
/>
gnant huic propoſitioni quæ petitur ab angulis; </
s
>
<
s
id
="
N1CBE4
">adde quod angulus ni
<
lb
/>
hil prorſus facit ad motum, ſed linea ſeu ſpatium; denique hoc ipſum eſt
<
lb
/>
quod ab omnibus Mechanicis vulgò ſupponitur perinde quaſi prima </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>