DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
page
|<
<
of 207
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
id
="
N10019
">
<
pb
xlink:href
="
077/01/104.jpg
"
pagenum
="
100
"/>
<
p
id
="
N13AFA
"
type
="
margin
">
<
s
id
="
N13AFC
">
<
margin.target
id
="
marg136
"/>
<
emph
type
="
italics
"/>
ex
<
emph.end
type
="
italics
"/>
4.
<
emph
type
="
italics
"/>
ſexti
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N13B0A
"
type
="
margin
">
<
s
id
="
N13B0C
">
<
margin.target
id
="
marg137
"/>
11.
<
emph
type
="
italics
"/>
quinti.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N13B15
"
type
="
margin
">
<
s
id
="
N13B17
">
<
margin.target
id
="
marg138
"/>
16.
<
emph
type
="
italics
"/>
quinti.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
figure
id
="
id.077.01.104.1.jpg
"
xlink:href
="
077/01/104/1.jpg
"
number
="
64
"/>
<
p
id
="
N13B24
"
type
="
head
">
<
s
id
="
N13B26
">
<
emph
type
="
italics
"/>
IDEM ALITER.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N13B2C
"
type
="
main
">
<
s
id
="
N13B2E
">
<
emph
type
="
italics
"/>
Sit triangulum ABC, ducaturquè AD
<
emph.end
type
="
italics
"/>
ab angulo A
<
emph
type
="
italics
"/>
ad
<
expan
abbr
="
dimidiã
">dimidiam</
expan
>
<
emph.end
type
="
italics
"/>
<
lb
/>
baſim
<
emph
type
="
italics
"/>
BC. Dico in linea AD centrum eſſe grauitatis trianguli ABC.
<
lb
/>
N on ſit autem, ſed ſi fieri poteſt; ſit H. iunganturquè AH HB HC, &
<
lb
/>
ED
<
emph.end
type
="
italics
"/>
DF
<
emph
type
="
italics
"/>
FE ad dimidias BA
<
emph.end
type
="
italics
"/>
BC
<
emph
type
="
italics
"/>
AC
<
emph.end
type
="
italics
"/>
ducantur, ſecetquè EF ip
<
lb
/>
ſam AD in M. &
<
emph
type
="
italics
"/>
ipſi AH æquidistantes ducantur EK FL. &
<
emph.end
type
="
italics
"/>
<
lb
/>
<
arrow.to.target
n
="
fig46
"/>
<
lb
/>
<
emph
type
="
italics
"/>
iungantur KL LD Dk DH
<
emph.end
type
="
italics
"/>
; ſecetquè DH ipſam KL in N.
<
lb
/>
iungaturquè
<
emph
type
="
italics
"/>
MN. Quoniam igitur triangulum ABC ſimile est
<
expan
abbr
="
triã
">triam</
expan
>
<
lb
/>
gulo DFC, cùm ſit BA ipſi FD æquidistans
<
emph.end
type
="
italics
"/>
; ſiquidem ſunt late
<
lb
/>
<
arrow.to.target
n
="
marg139
"/>
ra CA CB bifariam diuiſa, ideoquè ſit CF ad FA, vt CD
<
lb
/>
ad DB.
<
emph
type
="
italics
"/>
trianguliquè ABC centrum grauitatis est punctum H; &
<
emph.end
type
="
italics
"/>
<
lb
/>
<
arrow.to.target
n
="
marg140
"/>
<
emph
type
="
italics
"/>
trianguli FDC centrum grauitatis erit punctum L. puncta enim HB
<
lb
/>
intra vtrumquè triangulum ſunt ſimiliter poſita. </
s
>
<
s
id
="
N13B8E
">etenim ad homologa
<
lb
/>
latera angulos efficiunt æquales. </
s
>
<
s
id
="
N13B92
">hoc enim perſpicuum. </
s
>
<
s
id
="
N13B94
">est
<
emph.end
type
="
italics
"/>
cùm enim
<
lb
/>
ſint triangulorum ABC DFC homologa latera AC FC,
<
lb
/>
<
arrow.to.target
n
="
marg141
"/>
AB FD, BC DC, ſintquè AH FL æquidiſtantes; erit an
<
lb
/>
gulus LFC angulo HAC ęqualis. </
s
>
<
s
id
="
N13BA3
">ſed angulus CFD eſt ipſi </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>