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
="
077/01/109.jpg
"
pagenum
="
105
"/>
<
p
id
="
N13F36
"
type
="
margin
">
<
s
id
="
N13F38
">
<
margin.target
id
="
marg159
"/>
14.
<
emph
type
="
italics
"/>
huius.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N13F41
"
type
="
margin
">
<
s
id
="
N13F43
">
<
margin.target
id
="
marg160
"/>
1.
<
emph
type
="
italics
"/>
ſexti.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N13F4C
"
type
="
margin
">
<
s
id
="
N13F4E
">
<
margin.target
id
="
marg161
"/>
1.
<
emph
type
="
italics
"/>
ſexti.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N13F57
"
type
="
margin
">
<
s
id
="
N13F59
">
<
margin.target
id
="
marg162
"/>
1.
<
emph
type
="
italics
"/>
ſexti.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
figure
id
="
id.077.01.109.1.jpg
"
xlink:href
="
077/01/109/1.jpg
"
number
="
67
"/>
<
p
id
="
N13F66
"
type
="
main
">
<
s
id
="
N13F68
">ALITER. </
s
>
</
p
>
<
p
id
="
N13F6A
"
type
="
main
">
<
s
id
="
N13F6C
">Sit rurſus triangulum ABC, & AD BE ab angulis ad di
<
lb
/>
midias baſes ductæ ſint erit vti〈que〉 punctum, F (vbi ſe in
<
arrow.to.target
n
="
marg163
"/>
<
lb
/>
cen fecant) centrum grauitatis triangulb ABC. Drco AF a
<
lb
/>
pſius FD duplam eſſe. </
s
>
<
s
id
="
N13F77
">Iungatur DE. Quoniam enim BC
<
lb
/>
<
arrow.to.target
n
="
fig49
"/>
<
lb
/>
AC in punctis DE bifariam ſecantur; erit
<
lb
/>
CD ad DB, vt CE ad EA. linea igitur
<
lb
/>
DE ipſi AB eſt æquidiſtans. </
s
>
<
s
id
="
N13F84
">
<
arrow.to.target
n
="
marg164
"/>
trian
<
lb
/>
gulum ABC ſimile eſt triangulo
<
arrow.to.target
n
="
marg165
"/>
<
lb
/>
ac propterea ita eſt BC ad CD, vt AB
<
lb
/>
ad DE. eſt autem. </
s
>
<
s
id
="
N13F93
">BC dupla ipſius CD
<
lb
/>
(ſiquidem punctum D bifariam diuidit
<
lb
/>
BC) erit igitur AB dupla ipſius DE. At
<
lb
/>
vero quoniam AB DE ſunt parallelæ, erit triangulum AFB
<
lb
/>
triangulo EFD ſimile. </
s
>
<
s
id
="
N13F9D
">& vt AB ad ED, ita AF ad FD,
<
arrow.to.target
n
="
marg166
"/>
<
lb
/>
autem AB ipſius ED dupla, ergo AF ipſius FD dupla
<
lb
/>
exiſtit. </
s
>
<
s
id
="
N13FA6
">quod demonſtrare oportebat. </
s
>
</
p
>
<
p
id
="
N13FA8
"
type
="
margin
">
<
s
id
="
N13FAA
">
<
margin.target
id
="
marg163
"/>
14.
<
emph
type
="
italics
"/>
huius.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N13FB3
"
type
="
margin
">
<
s
id
="
N13FB5
">
<
margin.target
id
="
marg164
"/>
2.
<
emph
type
="
italics
"/>
ſexti.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N13FBE
"
type
="
margin
">
<
s
id
="
N13FC0
">
<
margin.target
id
="
marg165
"/>
4.
<
emph
type
="
italics
"/>
ſexti.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N13FC9
"
type
="
margin
">
<
s
id
="
N13FCB
">
<
margin.target
id
="
marg166
"/>
4.
<
emph
type
="
italics
"/>
ſexti.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
figure
id
="
id.077.01.109.2.jpg
"
xlink:href
="
077/01/109/2.jpg
"
number
="
68
"/>
<
p
id
="
N13FD8
"
type
="
main
">
<
s
id
="
N13FDA
">Exijs, quæ demonſtrata ſunt, oſtendemus, quod paulò an
<
lb
/>
te propoiuimus, nempè cùm lineæ AD BE bifariam ſecent
<
lb
/>
BC CA. Dico lineam CF productam bifariam quo〈que〉 ſe
<
lb
/>
care ipſam AB. </
s
>
</
p
>
<
p
id
="
N13FE2
"
type
="
main
">
<
s
id
="
N13FE4
">Producatur enim (ijsdem poſitis) CFGH; quæ lineam
<
lb
/>
<
arrow.to.target
n
="
fig50
"/>
<
lb
/>
AB ſecet in G. & à puncto B
<
lb
/>
ipſi AD æquidiſtans ducatur
<
lb
/>
BH. quæ ipſi CG occuriat in
<
lb
/>
H. Quoniam igitur FD, eſt i
<
lb
/>
pſi BH ęquidiſtans, erit CD
<
lb
/>
ad DB, vt CF ad FH.
<
arrow.to.target
n
="
marg167
"/>
ve
<
lb
/>
rò eſt æqualis BD; ergo CF ipſi
<
lb
/>
FH æqualis exiſtit. </
s
>
<
s
id
="
N13FFF
">ac propterea
<
lb
/>
CH dupla eſt ipſius (F. At ve
<
lb
/>
rò quoniam ob ſimilitudinem
<
lb
/>
<
expan
abbr
="
triangulorũ
">triangulorum</
expan
>
CBH CDF, ita eſt
<
lb
/>
HC ad CF, vt BH ad DF; erit & BH ipſius FD duplex. </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>