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
>
31
32
33
34
35
36
37
38
39
40
<
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
>
<
pb
pagenum
="
33
"
xlink:href
="
009/01/033.jpg
"/>
<
p
type
="
head
">
<
s
id
="
s.000666
">LOCA
<
lb
/>
MATHEMATICA
<
lb
/>
EX LIBRO
<
lb
/>
PRÆDICAMENTORVM
<
lb
/>
Per ordinem declarata.</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000667
">
<
arrow.to.target
n
="
marg1
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.000668
">
<
margin.target
id
="
marg1
"/>
1</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000669
">Ex c. 3. De his, quæ ad aliquid. </
s
>
<
s
id
="
s.000670
">Porrò quemadmodum vnus angulus vni angulo æqualis eſt, ita
<
lb
/>
<
expan
abbr
="
aliquãdo
">aliquando</
expan
>
duo anguli ſunt vni angulo æquales, vt patet, ſi vnus angulus, v.g.
<
lb
/>
angulus B A C, vbi ait
<
emph
type
="
italics
"/>
(Scientia verò ſi non ſit,
<
lb
/>
nihil probibet eſſe ſcibile, vt circuli quadratura, ſi eſt ſcibilis,
<
lb
/>
ſcientia quidem eius nondum eſt)
<
emph.end
type
="
italics
"/>
Cum velit Ariſt. oſtendere,
<
lb
/>
nó omnia correlatiua ſimul eſſe natura, id de ſcibili, & ſcien
<
lb
/>
tia variè probat, præſertim verò, quia multa ſint ſcibilia,
<
lb
/>
quæ tamen nondum ſciantur, vt patet, inquit, in Quadratu
<
lb
/>
ra circuli, & ſcientia ipſius, quia quamuis ipſa circuli quadratura ſit ſcibi
<
lb
/>
lis, nondum tamen ſimul cum ipſa, ſcientia illius extat. </
s
>
<
s
id
="
s.000671
">Quæ vt perfectè
<
lb
/>
intelligantur, ſciendum eſt, quadraturam circuli, quæ à Græcis tetrago
<
lb
/>
niſmus dicitur, nihil aliud eſſe, quàm propoſito cuilibet circulo exhibere
<
lb
/>
quadratum æquale. </
s
>
<
s
id
="
s.000672
">Quæ æqualitas debet intelligi de areis, ſeu ſpatijs, ita
<
lb
/>
vt area circuli, ſeu ſpatium illud, ſiue ſuperficies illa circularis, ſit æqualis
<
lb
/>
areæ, ſeu ſuperficiei quadratæ. </
s
>
<
s
id
="
s.000673
">Qua in re plurimi decipiuntur exiſtimantes
<
lb
/>
per quadraturam cir culi inquiri æqualitatem linearum, ita vt circumferen
<
lb
/>
tia circuli debeat eſſe æqualis ambitui, ſeu quatuor lateribus quadrati:
<
lb
/>
quod omnino falſum eſt.</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000674
">Quadratio porrò circuli dupliciter proponi poteſt, vel tanquam Theo
<
lb
/>
rema, vel tanquam Problema
<
emph
type
="
italics
"/>
(theorema autem eſt propoſitio, in qua nihil fa
<
lb
/>
ciendum proponitur; problema verò aliquid fieri expoſcit)
<
emph.end
type
="
italics
"/>
neutrum autem tem
<
lb
/>
pore Ariſt. erat adinuentum nam theorema inuentum eſt poſt ipſum ducen
<
lb
/>
tis circiter annis ab Archimede: problema verò nondum à quoquam per
<
lb
/>
fectè potuit reperiri. </
s
>
<
s
id
="
s.000675
">qua diſtinctione ſaluari poſſunt nonnulli, vt Boetius
<
lb
/>
hoc loco, qui aiunt, ſe vidiſſe Demonſtrationem quadraturæ huius, ſi nimi
<
lb
/>
rum intelligant theorema. </
s
>
<
s
id
="
s.000676
">& alij etiam verum aſſerunt, dum negant hacte
<
lb
/>
nus repertam eſſe, ſi nimirum de problemate loquantur, theorema </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>