DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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<
archimedes
>
<
text
>
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body
>
<
chap
id
="
N10019
">
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p
id
="
N16F5D
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type
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main
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s
id
="
N17400
">
<
pb
xlink:href
="
077/01/193.jpg
"
pagenum
="
189
"/>
pariquè ratione ſextupla ipſius CB ad quadruplam ciuſdem,
<
lb
/>
CB ita ſe habet, vt ſex ad quatuor, hoceſt tria ad duo, & om
<
lb
/>
nesad omnes, hoc eſt
<
emph
type
="
italics
"/>
compoſita ex tripla vtriuſ〈que〉 ſimul AB BD,
<
lb
/>
et ſextupla ipſius CB ad compoſitam ex dupla vtriuſ〈que〉 ſimul AB BD,
<
lb
/>
& quadrupla ipſius CB proportionem habet, quam tria ad duo.
<
emph.end
type
="
italics
"/>
vt
<
arrow.to.target
n
="
marg369
"/>
<
lb
/>
pli gratia quindecim ad decem,
<
emph
type
="
italics
"/>
ſed
<
emph.end
type
="
italics
"/>
eadem compoſita ex tri
<
lb
/>
pla vtriuſ〈que〉 ſimul AB BD, & ſextupla ipſius CB
<
emph
type
="
italics
"/>
ad tres quin
<
lb
/>
tas eiuſdem
<
emph.end
type
="
italics
"/>
compofitæ ex dupla vtriuſ〈que〉 ſimul AB BD, &
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arrow.to.target
n
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marg370
"/>
<
lb
/>
drupla ipſius, CB, quæ poſita eſt decem,
<
emph
type
="
italics
"/>
proportionem habet, quam
<
lb
/>
quin〈que〉 ad duo.
<
emph.end
type
="
italics
"/>
hoc eſt ut quindecim ad ſex, tres enim quintæ
<
lb
/>
ipſius decem ſunt ſex. </
s
>
<
s
id
="
N1743A
">at verò proportio, quam habet linea
<
expan
abbr
="
cõ
">com</
expan
>
<
lb
/>
poſita ex tripla vtriuſ〈que〉 ſimul AB BD, & ſextupla ipſius CB
<
lb
/>
ad tres quintas lineæ compoſitę ex dupla vtriuſ〈que〉 ſimul AB
<
lb
/>
BD cum quadrupla ipſius CB, eſt æqualis ei, quam habet OB
<
lb
/>
ad FG. ergo erit OB ad FG, vtquin〈que〉 ad duo.
<
emph
type
="
italics
"/>
<
expan
abbr
="
Demonstratū
">Demonstratum</
expan
>
<
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autem eſt, & AO ad GH proportionem habere, quam quin〈que〉 ad duo;
<
lb
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totaigitur BA ad totam FH proportionem habet, quam quin〈que〉 ad duo.
<
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<
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<
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ſiautem hoc, eſt quidem FH duæ quintæ ipſius AB. Quod oportebat
<
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demonſtrare.
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1.
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<
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hu
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ius.
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2.
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lemma
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buius.
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1.
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<
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lẽma
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hu
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ius.
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2.
<
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lemma
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huius.
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11.
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quinti.
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12.
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quinti.
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italics
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</
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11,
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quinti.
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</
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8.
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quinti.
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</
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<
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<
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ex
<
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8.
<
emph
type
="
italics
"/>
<
expan
abbr
="
quĩti
">quinti</
expan
>
<
emph.end
type
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italics
"/>
</
s
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<
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<
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co.
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4.
<
emph
type
="
italics
"/>
<
expan
abbr
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quĩti
">quinti</
expan
>
<
emph.end
type
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italics
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</
s
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</
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type
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18,
<
emph
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quinti.
<
emph.end
type
="
italics
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</
s
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</
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p
id
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type
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<
s
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<
margin.target
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<
emph
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co.
<
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="
italics
"/>
4.
<
emph
type
="
italics
"/>
<
expan
abbr
="
quĩti
">quinti</
expan
>
.
<
emph.end
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="
italics
"/>
</
s
>
</
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type
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<
margin.target
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23.
<
emph
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italics
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quinti.
<
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type
="
italics
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</
s
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</
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id
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12,
<
emph
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quinti.
<
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="
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</
s
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<
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<
emph
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co.
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4.
<
emph
type
="
italics
"/>
<
expan
abbr
="
quĩti
">quinti</
expan
>
<
emph.end
type
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italics
"/>
</
s
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23.
<
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quinti.
<
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</
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3.
<
emph
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<
expan
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lẽma
">lemma</
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hu
<
lb
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ius.
<
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</
s
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</
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17.
<
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quinti.
<
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italics
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</
s
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</
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id
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N17556
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type
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<
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<
margin.target
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A</
s
>
</
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<
p
id
="
N1755C
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type
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margin
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<
s
id
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N1755E
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<
margin.target
id
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12.
<
emph
type
="
italics
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quinti.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
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<
p
id
="
N17567
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type
="
margin
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<
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id
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N17569
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<
margin.target
id
="
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23.
<
emph
type
="
italics
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quinti.
<
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type
="
italics
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</
s
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</
p
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<
p
id
="
N17572
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type
="
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<
s
id
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N17574
">
<
margin.target
id
="
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18.
<
emph
type
="
italics
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quinti.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N1757D
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type
="
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<
s
id
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">
<
margin.target
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="
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<
emph
type
="
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cor.4.quĩ
<
lb
/>
ti.
<
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="
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</
s
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</
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<
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id
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type
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<
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4.
<
emph
type
="
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"/>
lema hu
<
lb
/>
ius.
<
emph.end
type
="
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"/>
</
s
>
</
p
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<
p
id
="
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type
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<
s
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<
margin.target
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<
emph
type
="
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cor.2.lem.
<
lb
/>
in
<
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="
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"/>
13.
<
emph
type
="
italics
"/>
pri
<
lb
/>
mi huius.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
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<
p
id
="
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type
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<
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id
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N175AC
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<
margin.target
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18.
<
emph
type
="
italics
"/>
quinti.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N175B5
"
type
="
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<
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id
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N175B7
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<
margin.target
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B</
s
>
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type
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<
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<
margin.target
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<
emph
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co.
<
emph.end
type
="
italics
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4.
<
emph
type
="
italics
"/>
<
expan
abbr
="
quĩti
">quinti</
expan
>
.
<
emph.end
type
="
italics
"/>
<
lb
/>
16,
<
emph
type
="
italics
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quinti.
<
emph.end
type
="
italics
"/>
<
lb
/>
11.
<
emph
type
="
italics
"/>
quinti.
<
emph.end
type
="
italics
"/>
</
s
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</
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22.
<
emph
type
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italics
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quinti.
<
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type
="
italics
"/>
</
s
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</
p
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<
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type
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C</
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type
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D</
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type
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<
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<
margin.target
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5.
<
emph
type
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lemma
<
lb
/>
huius.
<
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="
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</
s
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</
p
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<
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type
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<
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<
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12.
<
emph
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quinti.
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</
s
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</
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<
figure
id
="
id.077.01.193.1.jpg
"
xlink:href
="
077/01/193/1.jpg
"
number
="
118
"/>
<
figure
id
="
id.077.01.193.2.jpg
"
xlink:href
="
077/01/193/2.jpg
"
number
="
119
"/>
<
figure
id
="
id.077.01.193.3.jpg
"
xlink:href
="
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"
number
="
120
"/>
<
figure
id
="
id.077.01.193.4.jpg
"
xlink:href
="
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"
number
="
121
"/>
<
figure
id
="
id.077.01.193.5.jpg
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xlink:href
="
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"
number
="
122
"/>
<
p
id
="
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type
="
head
">
<
s
id
="
N17621
">SCHOLIVM.</
s
>
</
p
>
<
p
id
="
N17623
"
type
="
main
">
<
s
id
="
N17625
">Græcus codex poſt ea verba,
<
emph
type
="
italics
"/>
vt DE ad EB, ita AC ad CB,
<
emph.end
type
="
italics
"/>
<
arrow.to.target
n
="
marg372
"/>
<
lb
/>
non habet,
<
emph
type
="
italics
"/>
& CD ad DB,
<
emph.end
type
="
italics
"/>
quæ ob ea, quæ ſequuntur, omninò
<
lb
/>
neceſſaria videntur. </
s
>
<
s
id
="
N1763A
">ideo poſt gręca verba,
<
foreign
lang
="
grc
">ἔσιδὲκα
<
gap
/>
ὡς δε ω̄<10>ὸς εβ,
<
lb
/>
οὔτως ἄτε αγ ω̄<10>ὸς, γβ</
foreign
>
deſiderarividentur.
<
foreign
lang
="
grc
">κα
<
gap
/>
ἇ γδ ω̄<10>ός δβ. </
foreign
>
</
s
>
</
p
>
<
p
id
="
N17649
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type
="
margin
">
<
s
id
="
N1764B
">
<
margin.target
id
="
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"/>
<
emph
type
="
italics
"/>
A
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N17653
"
type
="
main
">
<
s
id
="
N17655
">Vbiautem ſuntverba,
<
emph
type
="
italics
"/>
vt
<
expan
abbr
="
cõpoſita
">compoſita</
expan
>
ex dupla vtriuſ〈que〉 ſimul,
<
emph.end
type
="
italics
"/>
<
arrow.to.target
n
="
marg373
"/>
<
lb
/>
cus codex tantùm habet,
<
foreign
lang
="
grc
">οὒτως ἀ συγκειμένα ἒχτε τᾶς συυαμφοτε<10>ου</
foreign
>
.
<
lb
/>
In quibus deſideratur illa particula,
<
emph
type
="
italics
"/>
dupla,
<
emph.end
type
="
italics
"/>
ideo corrigendus eſt
<
lb
/>
hoc modo,
<
foreign
lang
="
grc
">οὔτως ὰ συγκειμένα ἒκτε τᾶς β συυαμφοτέ<10>ου</
foreign
>
, &c. </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>