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
>
<
pb
pagenum
="
155
"
xlink:href
="
009/01/155.jpg
"/>
<
p
type
="
head
">
<
s
id
="
s.002665
">
<
emph
type
="
italics
"/>
QVÆSTIO SECVNDA
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
head
">
<
s
id
="
s.002666
">
<
emph
type
="
italics
"/>
De Libra
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.002667
">
<
arrow.to.target
n
="
marg233
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.002668
">
<
margin.target
id
="
marg233
"/>
243</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.002669
">
<
emph
type
="
italics
"/>
Cvr ſi quidem ſurſum fuerit ſpartum, quando deorſum lato pondere, quiſ
<
lb
/>
piam id amouet, rurſum aſcendit libra? </
s
>
<
s
id
="
s.002670
">Si autem deorſum constitutum
<
lb
/>
fuerit, non aſcendit, ſed manet? </
s
>
<
s
id
="
s.002671
">An quia ſurſum ſparto quidem exiſten
<
lb
/>
te plus libræ extra perpendiculum fit, ſpartum enim eſt perpendiculum,
<
lb
/>
quare neceſſe est deorſum ferri id, quod plus est, donec aſcendat, quæ bifariam li
<
lb
/>
bram diuidit ad ipſum perpendiculŭm, cum onus incumbat ad libræ partem tractam.
<
emph.end
type
="
italics
"/>
<
lb
/>
<
figure
id
="
id.009.01.155.1.jpg
"
place
="
text
"
xlink:href
="
009/01/155/1.jpg
"
number
="
83
"/>
<
lb
/>
<
emph
type
="
italics
"/>
ſit libra vbi recta B C, ſpartum autem
<
lb
/>
A D: hoc igitur ſurſum erecto, perpendi
<
lb
/>
culum erit vbi A D M. ſi igitur in ipſo B,
<
lb
/>
ponatur onus, B, quidem deſcendet vbi E;
<
lb
/>
C, autem aſcendat vbi H, quamobrem ea,
<
lb
/>
quæ bifariam libram ſecat, primò quidem
<
lb
/>
erit D M, ipſius perpendiculi; incumben
<
lb
/>
te autem onere erit D G, quare libræ ip
<
lb
/>
ſius vbi E H, quod extra A M, perpendi
<
lb
/>
culum eſt, vbi eſt D D H, maius eſt dimidio. </
s
>
<
s
id
="
s.002672
">ſi igitur amoueatur onus ab ipſo E, ne
<
lb
/>
ceſſe eſt H, deorſum ferri, minus enim eſt ipſum E D. ſi quidem igitur ſurſum ha
<
lb
/>
buerit ſpartum, propter hoc aſcendit libra. </
s
>
<
s
id
="
s.002673
">ſi autem deorſum fuerit, id quod ſub
<
lb
/>
stat, contrarium facit; plus enim dimidio fit libræ, quæ deorſum eſt, pars, quàm
<
lb
/>
quod perpendiculum ſecet; quapropter non aſcendit, pars enim eleuata leuior eſt.
<
emph.end
type
="
italics
"/>
<
lb
/>
<
figure
id
="
id.009.01.155.2.jpg
"
place
="
text
"
xlink:href
="
009/01/155/2.jpg
"
number
="
84
"/>
<
lb
/>
<
emph
type
="
italics
"/>
ſit libra vbi N G, perpendiculum autem
<
lb
/>
K L M, bifariam igitur ſecatur N G. im
<
lb
/>
poſito autem onere in ipſo N, erit quidem
<
lb
/>
N, vbi O, ipſum autem G, vbi R; K L, au
<
lb
/>
tem vbi K P, quare maius eſt L P O, quàm
<
lb
/>
L R, ipſo P L. </
s
>
<
s
id
="
s.002674
">Ablato igitur onere, ne
<
lb
/>
ceſſe eſt manere; incumbit enim, ceu onus
<
lb
/>
exceſſus medietatis in quo P L.)
<
emph.end
type
="
italics
"/>
Aduer
<
lb
/>
te textum græcum eſſe mendoſum, la
<
lb
/>
tinum vero mendoſiſſimum. </
s
>
<
s
id
="
s.002675
">Ego partim ex certa rei intelligentia, vti vi
<
lb
/>
des reſtitui. </
s
>
<
s
id
="
s.002676
">
<
expan
abbr
="
Idemq́
">Idemque</
expan
>
; circa figuras præſtiti. </
s
>
<
s
id
="
s.002677
">Porrò quoniam Piccolomineus,
<
lb
/>
& ſi plurimum, vt ipſe fatetur, inſudauerit, non tamen ſolutionem huius
<
lb
/>
quæſtionis eſt aſſecutus, eam tibi ex Mechanicis Guidibaldi tradam. </
s
>
<
s
id
="
s.002678
">Ariſt.
<
lb
/>
igitur ponit duas libræ ſpecies, ſiue potius duas eiuſdem libræ poſitiones,
<
lb
/>
vnam, quæ habet ſpartum, ſiue perpendiculum ſupra; alteram, quæ infra.
<
lb
/>
<
figure
id
="
id.009.01.155.3.jpg
"
place
="
text
"
xlink:href
="
009/01/155/3.jpg
"
number
="
85
"/>
<
lb
/>
vt in præſenti figura, ſit libra B C, cuius
<
lb
/>
ſpartum, ſiue perpendiculum A D, ſit ſur
<
lb
/>
ſum, ita vt in puncto A, ſit affixum perpen
<
lb
/>
diculum, & circa idem punctum A, tan
<
lb
/>
quam circa centrum tota libra circum
<
lb
/>
uertatur. </
s
>
<
s
id
="
s.002679
">hæc eſt prima libræ collocatio. </
s
>
<
s
id
="
s.002680
">ſit deinde libra B C, cuius ſpartum,
<
lb
/>
ſiue perpendiculum A D, ſit deorſum, vt in altera figura,
<
expan
abbr
="
ſitq́
">ſitque</
expan
>
; circa </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>