Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
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 - 355
>
161
162
163
164
165
166
167
168
169
170
<
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 - 355
>
page
|<
<
of 355
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
type
="
main
">
<
s
id
="
s.002835
">
<
pb
pagenum
="
167
"
xlink:href
="
009/01/167.jpg
"/>
nus duplo, ſiue maius duplo, ſpatium, quod nauigium interim decurrit ad
<
lb
/>
anteriora, & quod palmula remi in contrarium ſimul iuncta, ei quod ipſum
<
lb
/>
remi manubrium motu proprio conficit, æqualia erunt. </
s
>
<
s
id
="
s.002836
">ſemper enim B D,
<
lb
/>
æqualis eſt H Z: tota verò C Z, quæ æqualis eſt A E, ex ſuis partibus C H,
<
lb
/>
& H Z, conſtabit.</
s
>
</
p
>
<
p
type
="
head
">
<
s
id
="
s.002837
">
<
emph
type
="
italics
"/>
Propoſitionis conuerſio.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
head
">
<
s
id
="
s.002838
">Si nauigium longius progrediatur, quàm remi palmula re
<
lb
/>
trocedat, ſpatium conficiet pluſquam dimidium eius,
<
lb
/>
quod motu proprio remi manubrium decurrit:
<
lb
/>
ſi minus, citra dimidium.</
s
>
</
p
>
<
p
type
="
head
">
<
s
id
="
s.002839
">
<
emph
type
="
italics
"/>
Huius demonſtratio ex ſupradictis facilè colligi poterit.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
head
">
<
s
id
="
s.002840
">
<
emph
type
="
italics
"/>
PROPOSITIO QVINTA.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
head
">
<
s
id
="
s.002841
">Si celerius feratur nauigium, quàm remi manubrium, mo
<
lb
/>
uebitur palmula in vlteriora,
<
expan
abbr
="
nilq́
">nilque</
expan
>
; vnquam retroce
<
lb
/>
det,
<
expan
abbr
="
idq́
">idque</
expan
>
; ſpatium decurret, quo nauigij motus
<
lb
/>
motum manubrij ſuperat.</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.002842
">Habeat enim remus incipiente motu poſitionem A C: deſinente
<
lb
/>
<
figure
id
="
id.009.01.167.1.jpg
"
place
="
text
"
xlink:href
="
009/01/167/1.jpg
"
number
="
95
"/>
<
lb
/>
verò
<
expan
abbr
="
ſitũ
">ſitum</
expan
>
rectitudinis F G. ſcal
<
lb
/>
mus igitur B, propter nauigij
<
lb
/>
motum tranſlatus, erit in D, ſit
<
lb
/>
<
expan
abbr
="
itaq;
">itaque</
expan
>
ſpatium B D, maius quàm A H, à re
<
lb
/>
mi manubrio motu proprio decurſum: ſic
<
lb
/>
enim celerius dicetur ferri
<
expan
abbr
="
nauigiũ
">nauigium</
expan
>
, quàm
<
lb
/>
manubrium. </
s
>
<
s
id
="
s.002843
">Dico, quòd palmula C, in
<
lb
/>
vlteriora mouebitur. </
s
>
<
s
id
="
s.002844
">Nam cum ſcalmus
<
lb
/>
B, prouectus fuerit in D: tranſlata erit ip
<
lb
/>
ſa palmula C, vbi G, in rectitudinis ſitu,
<
lb
/>
<
expan
abbr
="
ſpatiumq́
">ſpatiumque</
expan
>
; conficiet C G, curuilineum, cui
<
lb
/>
reſpondet C K: mouebitur igitur palmula
<
lb
/>
in vlteriora. </
s
>
<
s
id
="
s.002845
">Nihil autem vnquam retro
<
lb
/>
cedere, oſtendetur in hunc modum. </
s
>
<
s
id
="
s.002846
">eadem
<
lb
/>
enim celeritate mouentur A, in H, & C,
<
lb
/>
verſus I, circa ſcalmum. </
s
>
<
s
id
="
s.002847
">Atqui per hypo
<
lb
/>
theſim celerius fertur nauigium, quam A.
<
lb
/>
in H, celerius igitur ipſum nauigium fer
<
lb
/>
tur, quàm C, verſus I. ſed mouetur idem </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>