DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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ergo & reliqua
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ad reliquam
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OR.
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rurſuſquè permutando
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ad BD ut
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ad OR,
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abbr
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conuertendoq́
">conuertendo〈que〉</
expan
>
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<
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BD ad
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eſt, ut OR ad
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foreign
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ad
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foreign
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foreign
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foreign
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ad
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foreign
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<
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erit BD ad
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atverò BD ad b
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foreign
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eſt, vt OR ad O
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erit igitur BD ad B
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, ut O
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ad O
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ita ſe habet ad
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B, vt R
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ad
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O.
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Quare manifestum est totius recti
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lineæ figuræ in portione ABC inſcriptæ centrum grauitatis
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<
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<
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in eadem
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proportione diuidere BD, veluti centrum grauitatis
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<
foreign
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<
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figuræ rectilineæ
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in portione XOP
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inſcriptæ
<
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ipſam OR
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diametrum.
<
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quod demonstra
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re oportebat.
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ex iis quę
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poſt
<
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pri
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mi huius
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demonſtra
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ta ſunt.
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3. A
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rchi.
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de quad.
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parab. </
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<
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20,
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primi
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conicorum
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Apoll.
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22.
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ſexti.
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15.
<
emph
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="
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"/>
primi
<
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/>
huius.
<
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type
="
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"/>
</
s
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</
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type
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<
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<
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="
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15.
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emph
type
="
italics
"/>
primi
<
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/>
buius.
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emph.end
type
="
italics
"/>
</
s
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</
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type
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<
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18.
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emph
type
="
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quinti.
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type
="
italics
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</
s
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type
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<
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<
margin.target
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2.
<
emph
type
="
italics
"/>
<
expan
abbr
="
lẽma
">lemma</
expan
>
an
<
lb
/>
te
<
emph.end
type
="
italics
"/>
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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<
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22.
<
emph
type
="
italics
"/>
quinti.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
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<
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type
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<
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<
margin.target
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"/>
<
emph
type
="
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"/>
<
expan
abbr
="
ãte
">ante</
expan
>
<
emph.end
type
="
italics
"/>
13.
<
emph
type
="
italics
"/>
pri
<
lb
/>
mi huius.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
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type
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<
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<
margin.target
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1.
<
emph
type
="
italics
"/>
lemma.
<
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type
="
italics
"/>
</
s
>
</
p
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<
p
id
="
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type
="
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<
s
id
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<
margin.target
id
="
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"/>
2.
<
emph
type
="
italics
"/>
lemma.
<
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type
="
italics
"/>
</
s
>
</
p
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<
p
id
="
N15BF3
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type
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<
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<
margin.target
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<
emph
type
="
italics
"/>
ex
<
emph.end
type
="
italics
"/>
6.
<
emph
type
="
italics
"/>
pri
<
lb
/>
mi huius.
<
emph.end
type
="
italics
"/>
</
s
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</
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<
p
id
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type
="
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<
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<
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18.
<
emph
type
="
italics
"/>
quinti.
<
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type
="
italics
"/>
</
s
>
</
p
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<
p
id
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type
="
margin
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<
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id
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<
margin.target
id
="
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"/>
22.
<
emph
type
="
italics
"/>
quinti.
<
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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<
emph
type
="
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cor.
<
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type
="
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2.
<
emph
type
="
italics
"/>
lem
<
lb
/>
ma m
<
emph.end
type
="
italics
"/>
13.
<
lb
/>
<
emph
type
="
italics
"/>
primi hui
<
emph.end
type
="
italics
"/>
^{9}</
s
>
</
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<
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type
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<
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id
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<
margin.target
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emph
type
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ex
<
emph.end
type
="
italics
"/>
6.
<
emph
type
="
italics
"/>
pri
<
lb
/>
mi huius.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
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<
p
id
="
N15C47
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type
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<
s
id
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N15C49
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<
margin.target
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3.
<
emph
type
="
italics
"/>
lemma.
<
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type
="
italics
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</
s
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</
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<
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id
="
N15C52
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type
="
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<
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id
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<
margin.target
id
="
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"/>
2.
<
emph
type
="
italics
"/>
<
expan
abbr
="
lẽma
">lemma</
expan
>
an
<
lb
/>
te
<
emph.end
type
="
italics
"/>
13.
<
emph
type
="
italics
"/>
pri
<
lb
/>
mi huius.
<
emph.end
type
="
italics
"/>
<
lb
/>
3.
<
emph
type
="
italics
"/>
lcmma.
<
emph.end
type
="
italics
"/>
<
lb
/>
2.
<
emph
type
="
italics
"/>
<
expan
abbr
="
lẽma
">lemma</
expan
>
an
<
lb
/>
te
<
emph.end
type
="
italics
"/>
13.
<
emph
type
="
italics
"/>
pri
<
lb
/>
mi huius
<
emph.end
type
="
italics
"/>
<
lb
/>
16.
<
emph
type
="
italics
"/>
quinti.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
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type
="
margin
">
<
s
id
="
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<
margin.target
id
="
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19.
<
emph
type
="
italics
"/>
quinti.
<
lb
/>
co.
<
emph.end
type
="
italics
"/>
4.
<
emph
type
="
italics
"/>
<
expan
abbr
="
quīti
">quinti</
expan
>
.
<
emph.end
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="
italics
"/>
<
lb
/>
3.
<
emph
type
="
italics
"/>
lemma.
<
emph.end
type
="
italics
"/>
</
s
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</
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<
p
id
="
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type
="
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<
s
id
="
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">
<
margin.target
id
="
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"/>
2.
<
emph
type
="
italics
"/>
lemma
<
lb
/>
ante
<
emph.end
type
="
italics
"/>
13.
<
lb
/>
<
emph
type
="
italics
"/>
primi hui
<
emph.end
type
="
italics
"/>
^{9}
<
lb
/>
18.
<
emph
type
="
italics
"/>
quinti.
<
emph.end
type
="
italics
"/>
</
s
>
</
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<
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id
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xlink:href
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number
="
97
"/>
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id
="
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xlink:href
="
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number
="
98
"/>
<
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<
s
id
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">SCHOLIVM.</
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>
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type
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<
s
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">Hinc colligere licet parabolas omnes inter ſe ſimiles eſſe. </
s
>
<
s
id
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">Re
<
lb
/>
fert enim Eutocius hoc in loco, Apollonium pergęum in ſex
<
lb
/>
to Conicorum libro. (qui nondum in lucem prodijt) ſimiles
<
lb
/>
coni ſectiones dixiſſe eas eſſe, quando in vnaqua〈que〉 ſectione
<
lb
/>
lineę
<
expan
abbr
="
ducũtur
">ducuntur</
expan
>
baſi
<
expan
abbr
="
æquidiſtãtes
">æquidiſtantes</
expan
>
numero pares; hoc eſt tot in v
<
lb
/>
na, quot in alia; vt in ſuperioribus figuris ductæ fuerunt, in v
<
lb
/>
na quidem EK FI GH ipſi AC æquidiſtantes; & in altera ST
<
lb
/>
YV QZ ipſi PX æquidiſtantes; quę quidem efficiant, vt dia
<
lb
/>
metri in eadem proportione diuiſæ proueniant; vt ſunt BN
<
lb
/>
NM ML LD; & O
<
foreign
lang
="
grc
">β βα α</
foreign
>
9 9R. Deinde
<
expan
abbr
="
æquidiſtãtes
">æquidiſtantes</
expan
>
AC EK
<
lb
/>
FI GH in eadem ſint proportione ipſarum XP ST YV QZ.
<
lb
/>
& quoniam hæ conditiones in omnibus poſſunt accidere pa
<
lb
/>
rabolis; vt ex ijs, quæ demonſtrata ſunt, manifeſtum eſt; id
<
lb
/>
circo parabolæ omnes ſunt ſimiles. </
s
>
<
s
id
="
N15D01
">Ne〈que〉 verò
<
expan
abbr
="
exiſtimandũ
">exiſtimandum</
expan
>
<
lb
/>
eſt, quoniam parabolæ ſunt ſimiles, figur as quo〈que〉 planè
<
lb
/>
inſcriptas, vt AEFGBHIKC & XSYQOZVTP ſimiles eſſe in
<
lb
/>
ter ſe, ea præſertim ſimilitudine, qua ſunt figuræ rectilineæ;
<
lb
/>
vt ſcilicet anguli ſint æquales, & circum ęquales angulos late
<
lb
/>
ra proportionalia. </
s
>
<
s
id
="
N15D11
">in parabolis
<
expan
abbr
="
nõ
">non</
expan
>
attenditur hęc ſimilitudo.
<
lb
/>
ſatenim eſt, vt præfatæ adſint conditiones; ex quibus ſequi
<
lb
/>
tur (vt oſtendimus) trapezia AK EI FH, triangulum què
<
lb
/>
BGH in eadem eſſe proportione trapeziorum XT SV YZ, ac </
s
>
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p
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</
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</
body
>
</
text
>
</
archimedes
>