Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
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 - 355
>
Scan
Original
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 300
301 - 330
331 - 355
>
page
|<
<
of 355
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
type
="
main
">
<
s
id
="
s.000692
">
<
pb
pagenum
="
35
"
xlink:href
="
009/01/035.jpg
"/>
lo de quadratura Paraboles, quadraſſe ipſam Parabolem, quæ tamen duæ fi
<
lb
/>
guræ, lunula ſcilicet, & parabola ſunt curuilineæ.</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000693
">
<
arrow.to.target
n
="
marg2
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.000694
">
<
margin.target
id
="
marg2
"/>
2</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000695
">Ex cap. de Priori
<
emph
type
="
italics
"/>
(in ſcientijs demonſtratiuis eſt prius, & poſterius ordine,
<
lb
/>
elementa enim priora ſunt ijs, quæ deſcribuntur, nam principia prior a ſunt theore
<
lb
/>
matibus ordine)
<
emph.end
type
="
italics
"/>
verba illa, nam principia, &c. </
s
>
<
s
id
="
s.000696
">quæ non ſunt in antiqua tran
<
lb
/>
ſlatione deſumpſimus ex caſtigatiſſimo græco codice editionis Francfor
<
lb
/>
dienſis, propterea quod totum hunc locum declarant; ſunt autem iſta,
<
lb
/>
<
foreign
lang
="
grc
">αί γαρ αρχαί πρότεραι τῶν θεωρημάτων τῃ τάξη. </
foreign
>
per ſcientias autem demonſtra
<
lb
/>
tiuas intelligendas eſſe hoc loco ipſas Mathematicas ex eo patet, quod illis
<
lb
/>
aſſignet Ariſt. Deſcriptiones; nam hoc verbo, Deſcriptiones, ſeu figuratio
<
lb
/>
nes, ſolet ipſe Mathematicas Demonſtrationes innuere, quod in ipſis figu
<
lb
/>
rationes, & Deſcriptiones adhibeantur, vt alijs locis patebit: idcirco ver
<
lb
/>
ba illa à nobis addita ex græco, optimè
<
expan
abbr
="
præcedẽtia
">præcedentia</
expan
>
exponunt, cum per ele
<
lb
/>
menta intelligantur principia, qualia ſunt initio Euclidis, & per deſcriptio
<
lb
/>
nes exponant theoremata. </
s
>
<
s
id
="
s.000697
">quod autem principia illa ordine priora ſint de
<
lb
/>
monſtrationibus, ſiue ipſas præcedant, ex ipſa primi Euclidis inſpectione
<
lb
/>
patere poteſt.</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000698
">
<
arrow.to.target
n
="
marg3
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.000699
">
<
margin.target
id
="
marg3
"/>
3</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000700
">Ex cap. de motu
<
emph
type
="
italics
"/>
(Quadratum augetur Gnomone circumpoſito)
<
emph.end
type
="
italics
"/>
Gnomon vox
<
lb
/>
græca inter alia ſignificat inſtrumentum illud, quod Latini tum amuſſim,
<
lb
/>
<
figure
id
="
id.009.01.035.1.jpg
"
place
="
text
"
xlink:href
="
009/01/035/1.jpg
"
number
="
2
"/>
<
lb
/>
tum normam appellant, Itali verò, Squadra, ad
<
lb
/>
cuius ſimilitudinem Geometræ denominarunt fi
<
lb
/>
guram quandam, ſeu portionem cuiuſuis paralle
<
lb
/>
logrammi, vt videre eſt in definitione ſecunda
<
lb
/>
2. elem. </
s
>
<
s
id
="
s.000701
">& in præſenti figura, in qua quadratum
<
lb
/>
A B C D, circumpoſito gnomone E F G, augetur,
<
lb
/>
& fit maius quadratum H B I L.</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000702
">Idem etiam verum eſt in quadrato arithmeti
<
lb
/>
co, ſiue in numero quadrato: is enim pariter ad
<
lb
/>
dito Gnomone augetur. </
s
>
<
s
id
="
s.000703
">i. </
s
>
<
s
id
="
s.000704
">addito numero impari.
<
lb
/>
</
s
>
<
s
id
="
s.000705
">quemadmodum infra 3. Phyſ. tex. 26. fusè explicabimus.</
s
>
</
p
>
</
chap
>
<
chap
>
<
p
type
="
head
">
<
s
id
="
s.000706
">
<
emph
type
="
italics
"/>
Ex Primo Priorum reſolutoriorum.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000707
">
<
arrow.to.target
n
="
marg4
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.000708
">
<
margin.target
id
="
marg4
"/>
4</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000709
">Aliquorum opinio eſt, Ariſtotelem hoſce libros appellaſſe reſolu
<
lb
/>
torios, quod per illos doceat ſyllogiſmum, ac demonſtrationem
<
lb
/>
iam factam in ſua immediata principia reſoluere, quam opinio
<
lb
/>
nem meum non eſt, nunc refellere. </
s
>
<
s
id
="
s.000710
">perſuaſum tamen mihi eſt, rem
<
lb
/>
multo aliter ſe habere, veram rationem huius tituli petendam eſſe ex peni
<
lb
/>
tiori Mathematicorum eruditione. </
s
>
<
s
id
="
s.000711
">Sciendum
<
expan
abbr
="
itaq;
">itaque</
expan
>
id, quod tradit Pappus
<
lb
/>
Alex. initio ſeptimi Mathem. collect. </
s
>
<
s
id
="
s.000712
">antiquiſſimos videlicet Geometras,
<
lb
/>
Euclidem, Apollonium Pergæum, & Ariſtęum ſcripſiſſe libros de reſolutio
<
lb
/>
ne, in quibus ars tradebatur, qua propoſito quouis theoremate, aut proble
<
lb
/>
mate poſſent facile ex eo, tanquam vero accepto inueſtigare aliquam veri
<
lb
/>
tatem, per quam deinde componerent illius, quod quærebatur, Demonſtra
<
lb
/>
tionem; inueſtigationem illam appellabant reſolutionem: compoſitionem
<
lb
/>
verò nominabant diſcurſum
<
expan
abbr
="
illũ
">illum</
expan
>
, quo ex vero illo per reſolutionem </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>