Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
Table of figures
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 186
[out of range]
>
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 186
[out of range]
>
page
|<
<
of 579
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
type
="
main
">
<
s
id
="
s.002846
">
<
pb
pagenum
="
531
"
xlink:href
="
010/01/539.jpg
"/>
<
arrow.to.target
n
="
marg752
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.002847
">
<
margin.target
id
="
marg752
"/>
Cap. 12. dę
<
lb
/>
vacui neceſ
<
lb
/>
ſitate.</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.002848
">HInc deducitur, quòd ſi concurrant apices angu
<
lb
/>
lorum plurium figurarum planarum ad vnum
<
lb
/>
punctum plani ſubiecti, illę ſpatium omninò com
<
lb
/>
plebunt, quotieſcumque æquales quatuor angulis
<
lb
/>
rectis fuerint, ſin minùs aut penetratio in exceſſu, aut
<
lb
/>
interſtitia inania in defectu relinquere debent. </
s
>
<
s
id
="
s.002849
">Quia
<
lb
/>
verò figurarum planarum aliæ regulares ſunt, ſcilicèt
<
lb
/>
æquiangulæ, & æquilaterę, aliæ irregulares,
<
expan
abbr
="
cõſtat
">conſtat</
expan
>
<
lb
/>
ex Theone, Pappo, Maurolico, & alijs, ſex angulos
<
lb
/>
regularium triangulorum ad vnum punctum plani
<
lb
/>
ſubiecti concurrentes ſpatium implere, eò quòd
<
expan
abbr
="
sũ-mam
">sum
<
lb
/>
mam</
expan
>
quatuor rectorum adæquant, ſic etiam apices
<
lb
/>
quatuor angulorum quadratarum figurarum ad
<
expan
abbr
="
vnũ
">vnum</
expan
>
<
lb
/>
punctum eiuſdem plani concurrentes ſpatium com
<
lb
/>
plent, non ſecùs apices trium angulorum hexagona
<
lb
/>
lium figurarum, paritèr ſpatium adimplent, & nullæ
<
lb
/>
aliæ; figurarum verò irregularium anguli ad vnum̨
<
lb
/>
punctum ſpatij plani concurrentes, qui ſpatium
<
expan
abbr
="
cõ-plere
">con
<
lb
/>
plere</
expan
>
poſſunt propemodum infinitę ſunt, ſcilicèt om
<
lb
/>
nes illæ, quorum anguli conuenientes ſummam qua
<
lb
/>
tuor rectorum æquant. </
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.002850
">Eaſdem proprietates habent anguli ſolidi, qui in
<
lb
/>
vno plano ſuis faciebus adaptari poſſunt, vt ſunt priſ
<
lb
/>
mata rectangula, & nonnulla alia, quorum baſes, aut
<
lb
/>
ſunt poligona regularia, aut non, & quando anguli
<
lb
/>
baſium ad vnum punctum plani ſubiecti concurren
<
lb
/>
tes ſpatium prædictum planum complent, etiam ſu
<
lb
/>
perficies planæ laterales in communi latere erecto
<
lb
/>
conueniunt, & tunc componunt, veluti
<
expan
abbr
="
pauimentũ
">pauimentum</
expan
>
, </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>