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
>
191
192
193
194
195
196
197
198
199
200
<
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.002794
">
<
pb
pagenum
="
164
"
xlink:href
="
009/01/164.jpg
"/>
quidem minus etiam oſtendemus eſſe ipſo D A. </
s
>
<
s
id
="
s.002795
">Nam quoniam duo latera
<
lb
/>
B D, & D K, trianguli B D K, duobus lateribus B D, & D E,
<
expan
abbr
="
triãguli
">trianguli</
expan
>
B E D,
<
lb
/>
æqualia ſunt, ſed minor eſt angulus B D K, angulo B D E: minor igitur erit
<
lb
/>
baſis B K, baſe B E, per 24. primi, quod demonſtrandum erat</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.002796
">Præterea, quod Ariſt. ratiocinando ſumit tantum ſpatium conficere na
<
lb
/>
uigium, quantum remi manubrium, ambiguum eſt. </
s
>
<
s
id
="
s.002797
">Nam remi manubrium
<
lb
/>
duabus fertur motionibus: vna propria,
<
expan
abbr
="
circulariq́
">circularique</
expan
>
; ſuper ſcalmo: altera
<
lb
/>
verò, qua vnà fertur cum ipſo nauigio. </
s
>
<
s
id
="
s.002798
">ſpatium igitur, quod omninò decur
<
lb
/>
ſum eſt à remi manubrio, eo quod à nauigio confectum eſt, maius erit. </
s
>
<
s
id
="
s.002799
">At
<
lb
/>
ſi paria ſpatia decurſa eſſe intelligat à remi manubrio motu proprio, & à
<
lb
/>
nauigio,
<
expan
abbr
="
neq;
">neque</
expan
>
hoc difficultate caret. </
s
>
<
s
id
="
s.002800
">Nam nauigium interdum maius ſpa
<
lb
/>
tium percurret, interdum minus, iuxta remigum vires, & prout mari remi
<
lb
/>
palmula immerſa fuerit: remi verò manubrium tametſi ab exiguis viribus
<
lb
/>
moueatur haud minorem tamen ambitum deſcribet, quàm ſi à multo ma
<
lb
/>
iore virtute moueretur. </
s
>
<
s
id
="
s.002801
">Quapropter, vt huiuſmodi Ariſt. ſententiam exa
<
lb
/>
minaremus, Theoremata, quæ ſequuntur, demonſtrauimus.</
s
>
</
p
>
<
p
type
="
head
">
<
s
id
="
s.002802
">
<
emph
type
="
italics
"/>
PROPOSITIO PRIMA.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
head
">
<
s
id
="
s.002803
">Si Remiges nauigium mouere poſſunt, maius ſemper ſpa
<
lb
/>
tium remi manubrium percurrit, quàm nauigium.</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.002804
">Sit enim remus A C, manubrium A, ſcalmus B, qui propter nauigij
<
lb
/>
motum ſpatium percurrat à B, in D, in quo loco ipſe remus A C, ſi
<
lb
/>
<
figure
id
="
id.009.01.164.1.jpg
"
place
="
text
"
xlink:href
="
009/01/164/1.jpg
"
number
="
92
"/>
<
lb
/>
tum rectitudinis habeat E F. </
s
>
<
s
id
="
s.002805
">Spatium
<
lb
/>
itaque, quod A, conficit, curua linea
<
lb
/>
ſit A E, cui recta linea reſpondeat A Z, in re
<
lb
/>
ctam E F, perpendicularis. </
s
>
<
s
id
="
s.002806
">Nauigium verò
<
lb
/>
idem ſpatium conficiet, quod ſcalmus B: aio
<
lb
/>
igitur ipſam A Z, rectam lineam, recta B D,
<
lb
/>
maiorem eſſe. </
s
>
<
s
id
="
s.002807
">ſecet enim recta A C, rectam
<
lb
/>
E F, in G: æquiangula ſunt igitur bina trian
<
lb
/>
gula A G Z, & B G D, quapropter ſicut A G,
<
lb
/>
ad B G, ſie A Z, ad B D, per. </
s
>
<
s
id
="
s.002808
">4. 6. libri Eucli
<
lb
/>
dis: maior eſt autem A G, ipſa B G, & maior
<
lb
/>
igitur erit A Z, quam B D. & proinde maius
<
lb
/>
ſpatium remi manubrium percurrit, quam
<
lb
/>
nauigium, quod demonſtrandum erat.</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.002809
">Quod ſi à puncto B, rectam lineam vtrinque
<
lb
/>
ducamus H K, ad remi menſuram, rectos facientem angulos cum B D,
<
expan
abbr
="
re-ctamq́
">re
<
lb
/>
ctamque</
expan
>
; A Z, ſecantem in I, manifeſtè intelligemus ipſam rectam A Z, con
<
lb
/>
ſtare ex A I, & I Z, quarum prior reſpondet curuæ A H, quæ motu proprio
<
lb
/>
manubrij deſcripta eſt; poſterior verò æqualis eſt rectæ B D, quæ motu na
<
lb
/>
uigij decurſa eſt.</
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>