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.001144
">
<
pb
pagenum
="
62
"
xlink:href
="
009/01/062.jpg
"/>
D F E, F B A, ita vt quælibet figura tot angulos externos ſortiatur, quot
<
lb
/>
habet latera; cum exproductis lateribus oriantur. </
s
>
<
s
id
="
s.001145
">Vt autem propoſitio ve
<
lb
/>
rificetur, ſingula latera ordinatim ſunt producenda, hoc eſt, verſus eandem
<
lb
/>
partem, vt in figuris appoſitis vides. </
s
>
<
s
id
="
s.001146
">Quæuis igitur figura rectilinea, ſiue
<
lb
/>
trilatera ſit, ſiue quadrilatera, vel etiam millelatera, & proinde mille quo
<
lb
/>
que angulos externos habeat, hanc tamen mirabilem proprietatem (quod
<
lb
/>
vix credi poteſt) poſſidet, vt omnes illi anguli externi ſimul ſint æquales
<
lb
/>
quatuor rectis angulis. </
s
>
<
s
id
="
s.001147
">vnde tres externi anguli trianguli, & quatuor exter
<
lb
/>
ni quadranguli, & quinque externi
<
expan
abbr
="
pẽtagoni
">pentagoni</
expan
>
, &c. </
s
>
<
s
id
="
s.001148
">ſunt æquales quatuor tan
<
lb
/>
tum rectis, nec aliter res ſe habet in figura millelatera. </
s
>
<
s
id
="
s.001149
">Ex quo fit, vt an
<
lb
/>
guli externi cuiuſuis figuræ ſint æquales angulis omnibus externis alterius
<
lb
/>
cuiuſlibet figuræ. </
s
>
<
s
id
="
s.001150
">Ariſt. igitur inquit, quando cognoſcimus, quod quatuor
<
lb
/>
angulis rectis ſunt æquales exteriores omnes anguli alicuius figuræ, quo
<
lb
/>
niam figura illa eſt triangulum ſcalenum, adhuc talis cognitio eſt defecti
<
lb
/>
ua, quia non illi competit illa paſſio, quia ſit triangulum ſcalenum, neque
<
lb
/>
competit ſcaleno, quia ſit triangulum; ſed his omnibus competit, quia ſunt
<
lb
/>
figuræ rectilineæ, cui hæc proprietas ineſt primo, & vniuerſaliter: qui igi
<
lb
/>
tur ſcit, ſcalenum habere prædictam affectionem, ex eo, quod ſit figura re
<
lb
/>
ctilinea, perfectius ſcit, quia nihil amplius quæri poteſt, quia illa figura re
<
lb
/>
ctilinea illud vniuerſale eſt, cui primo competit; reliquis autem per illam.
<
lb
/>
</
s
>
<
s
id
="
s.001151
">qui igitur vniuerſale ſcit, perfectius ſcit; quod volebat Ariſt. demonſtrare.</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.001152
">
<
arrow.to.target
n
="
marg57
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.001153
">
<
margin.target
id
="
marg57
"/>
57</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.001154
">Eodem tex.
<
emph
type
="
italics
"/>
(Vt ſi quis nouit, quod omnis triangulus habet tres duobus rectis
<
lb
/>
æquales)
<
emph.end
type
="
italics
"/>
nihil frequentius. </
s
>
<
s
id
="
s.001155
">vide ſupra lib. 1. Priorum ſecto 3. cap. 1.</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.001156
">
<
arrow.to.target
n
="
marg58
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.001157
">
<
margin.target
id
="
marg58
"/>
58</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.001158
">Tex. 43.
<
emph
type
="
italics
"/>
(Sed planum, quod etſi eſſet ſentire triangulum, quod duobus rectis
<
lb
/>
æquales habet angulos)
<
emph.end
type
="
italics
"/>
vide ſupra lib. 1. Priorum ſecto 3. cap. 1.</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.001159
">
<
arrow.to.target
n
="
marg59
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.001160
">
<
margin.target
id
="
marg59
"/>
59</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.001161
">Poſt pauca
<
emph
type
="
italics
"/>
(Quare & ſi ſupra Lunam eſſemus, & videremus obiectam terram,
<
lb
/>
non
<
expan
abbr
="
vtiq;
">vtique</
expan
>
ſciremus cauſam eclypſis)
<
emph.end
type
="
italics
"/>
loquitur de defectu Lunæ, qui fit, quando
<
lb
/>
terra inter Lunam, & Solem poſita, impedit, ne lumen Solis feratur in Lu
<
lb
/>
nam, ſed efficit, vt vmbra ipſius terræ eam contegat.</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.001162
">
<
arrow.to.target
n
="
marg60
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.001163
">
<
margin.target
id
="
marg60
"/>
60</
s
>
</
p
>
<
figure
id
="
id.009.01.062.1.jpg
"
place
="
text
"
xlink:href
="
009/01/062/1.jpg
"
number
="
30
"/>
<
p
type
="
main
">
<
s
id
="
s.001164
">Et paulo poſt
<
emph
type
="
italics
"/>
(Quemadmodŭm ſi vi
<
lb
/>
trum perforatum videremus, & lumen
<
lb
/>
permeans, planum vtique eſſet propter
<
lb
/>
quid comburit)
<
emph.end
type
="
italics
"/>
Ioquitur de ea com
<
lb
/>
buſtione, cuæ fit per refractionem
<
lb
/>
media ſphæra vitrea. </
s
>
<
s
id
="
s.001165
">de qua Vitel
<
lb
/>
lio propoſ. </
s
>
<
s
id
="
s.001166
">48. decimi libri; non au
<
lb
/>
tem de ea, quæ fit per reflexionem
<
lb
/>
ex ſpeculo concauo quando combu
<
lb
/>
ſtio fit per refractionem, cauſatur à
<
lb
/>
radijs Solis vitrum permeantibus,
<
lb
/>
in quo ita franguntur, vt egredien
<
lb
/>
tes è vitro ſimul vniantur, ex qua
<
lb
/>
vnione ita calor intenditur, vt ibi
<
lb
/>
comburat. </
s
>
<
s
id
="
s.001167
">vt in appoſita figura cer
<
lb
/>
nere facile eſt; in qua radij à Sole
<
lb
/>
manentes, ſphæram vitream </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>