Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
page
|<
<
of 355
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
type
="
main
">
<
s
id
="
s.002344
">
<
pb
pagenum
="
138
"
xlink:href
="
009/01/138.jpg
"/>
rari. </
s
>
<
s
id
="
s.002345
">poſtea tamen cum in Geometria verſatus fuerit, maximè admirare
<
lb
/>
tur, ſi audiret diametrum eſſe lateri commenſurabilem.</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.002346
">
<
arrow.to.target
n
="
marg193
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.002347
">
<
margin.target
id
="
marg193
"/>
202</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.002348
">Summa 2. cap. 3. (
<
emph
type
="
italics
"/>
Pythagorici primi Mathematicis operam dedere, hæc præpo
<
lb
/>
nebant, & in cis enutriti, eorum principia, entium
<
expan
abbr
="
quoq;
">quoque</
expan
>
cunctorum putant eſſe
<
lb
/>
principia
<
emph.end
type
="
italics
"/>
) vtinam noſtrates Philoſophi Pythagoricos imitarentur; enimue
<
lb
/>
rò multò melius & ſibi, & Philoſophiæ conſulerent. </
s
>
<
s
id
="
s.002349
">At verò non ſine ma
<
lb
/>
gno artium,
<
expan
abbr
="
atq;
">atque</
expan
>
diſciplinarum omnium diſpendio à plurimis hac tempe
<
lb
/>
ſtate deſpectui habentur; ſed quid mirum cum quas ſcientiarum omnium
<
lb
/>
alumni Pythagorei omnibus ſcientijs anteferebant; eas noſtri ſeculi quam
<
lb
/>
plures omnibus alijs facultatibus poſthabeant.</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.002350
">
<
arrow.to.target
n
="
marg194
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.002351
">
<
margin.target
id
="
marg194
"/>
203</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.002352
">Tex. 47. (
<
emph
type
="
italics
"/>
Qui Geometriam diſcit aliqua præſcire contingit
<
emph.end
type
="
italics
"/>
) ideſt definitio
<
lb
/>
nes, poſtulata, axiomata, quæ ſunt tria principiorum genera, ex quibus to
<
lb
/>
ta Geometria deducitur.</
s
>
</
p
>
</
chap
>
<
chap
>
<
p
type
="
head
">
<
s
id
="
s.002353
">
<
emph
type
="
italics
"/>
Ex Secundo Metaphyſicæ.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.002354
">
<
arrow.to.target
n
="
marg195
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.002355
">
<
margin.target
id
="
marg195
"/>
204</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.002356
">Tex. 14. (
<
emph
type
="
italics
"/>
Quantam verò vim conſuetudo habeat, leges declarant, in qui
<
lb
/>
bus fabuloſa, ac puerilia plus poſſunt propter conſuetudinem, quàm ſi
<
lb
/>
ea cognoſceremus
<
emph.end
type
="
italics
"/>
) per leges intelligit cantilenas illas, quas vete
<
lb
/>
res Muſici leges appellabant, eò quòd eas ſolas, cæteris abroga
<
lb
/>
tis liceret lata lege decantari. </
s
>
<
s
id
="
s.002357
">Vide declarationem problematis 15. & 28.
<
lb
/>
ſect. </
s
>
<
s
id
="
s.002358
">19.
<
expan
abbr
="
problematũ
">problematum</
expan
>
vbi
<
expan
abbr
="
tanquã
">tanquam</
expan
>
in proprio loco iſta fuſius pertractabuntur.</
s
>
</
p
>
</
chap
>
<
chap
>
<
p
type
="
head
">
<
s
id
="
s.002359
">
<
emph
type
="
italics
"/>
Ex Tertio Metaphyſicæ.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.002360
">
<
arrow.to.target
n
="
marg196
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.002361
">
<
margin.target
id
="
marg196
"/>
205</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.002362
">Tex. 3. Verba huius textus, cum ſatis perſpicua ſint, ac parum ma
<
lb
/>
thematicis indigeant, omittenda duxi. </
s
>
<
s
id
="
s.002363
">Quod ad mathematicas
<
lb
/>
attinet, ait, eas non demonſtrare, nec per cauſam finalem, nec
<
lb
/>
per efficientem (quod intelligendum eſt de Mathematicis puris,
<
lb
/>
& ſpeculatiuis nam mathematicæ practicæ reliquas etiam cauſas, efficien
<
lb
/>
tem, & finalem neceſſariò habere debent, quapropter ſophiſta quidam no
<
lb
/>
mine Ariſtippus, eas irridebat,
<
expan
abbr
="
atq;
">atque</
expan
>
adeo illiberalibus, ac ſedentarijs arti
<
lb
/>
bus poſthabebat, quæ cauſam efficientem, quia ſcilicet operantur, & fina
<
lb
/>
lem ſcilicet quæſtum ſibi proponunt. </
s
>
<
s
id
="
s.002364
">fuit autem iſte ex Plutarcho, & Laer
<
lb
/>
tio primus, qui pacto pretio doceret,
<
expan
abbr
="
philoſophiamq́
">philoſophiamque</
expan
>
; faceret quæſtuoſam:
<
lb
/>
<
expan
abbr
="
ideoq́
">ideoque</
expan
>
; mathematicas paruipendebat, quòd neglecta cauſa efficiente, nihil
<
lb
/>
efficerent; & finali, nihil lucrarentur. </
s
>
<
s
id
="
s.002365
">videas igitur quales ſint pulcherrima
<
lb
/>
rum facultatum contemptores, ij nimirum, qui philoſophiæ, aut lucri, aut
<
lb
/>
ambitionis cauſa dant operam. </
s
>
<
s
id
="
s.002366
">Quod autem Mathematicæ nihil efficiant,
<
lb
/>
<
expan
abbr
="
nihilq́
">nihilque</
expan
>
; lucrentur, ne videamur vtile paruifacere, eſt omninò falſum: ſunt
<
lb
/>
enim plures mathematicæ practicæ, quæ innumera,
<
expan
abbr
="
atq;
">atque</
expan
>
<
expan
abbr
="
admirãda
">admiranda</
expan
>
efficiunt
<
lb
/>
opera,
<
expan
abbr
="
quæq́
">quæque</
expan
>
; magnos quæſtus quotidie faciunt. </
s
>
<
s
id
="
s.002367
">huiuſmodi ſunt Geometria
<
lb
/>
practica, qua menſurationes omnes vel ſolo viſu perficiuntur. </
s
>
<
s
id
="
s.002368
">Arithmeti
<
lb
/>
ca, cuius vſus quàm latè patet? </
s
>
<
s
id
="
s.002369
">Muſica practica, qua quotidie ipſi </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>