DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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N10019
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077/01/101.jpg
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pagenum
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97
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lelogrammi FO bifariam quo〈que〉 diuidere.
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emph
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italics
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Ita〈que〉 parallelogrà
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mi MN centrum grauitatis est in linea
<
foreign
lang
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grc
">Υ</
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>
S. parallilogrammi ver
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gap
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KX grouitatis centrum est in linea T
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foreign
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grc
">Υ</
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>
. parallelogrammi autem FO in
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linea TD; magnitudinis igitur ex
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emph.end
type
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italics
"/>
his
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emph
type
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omnibus
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type
="
italics
"/>
parallelogrammi
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lb
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MN KX FO
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emph
type
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italics
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compoſitæ centrum grauitatis eſt in recta linea S D. ſiv
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lb
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ita〈que〉 punctum R.
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emph.end
type
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italics
"/>
quod quidem erit centrum grauitatis figura
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lb
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LNGXEOZF
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foreign
lang
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grc
">ε</
foreign
>
K
<
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lang
="
grc
">δ</
foreign
>
M.
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emph
type
="
italics
"/>
<
expan
abbr
="
lũgaturq́
">lungatur〈que〉</
expan
>
; RH, & producatur,
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emph.end
type
="
italics
"/>
quæ ipsa
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foreign
lang
="
grc
">ω</
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>
M
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lb
/>
ſecet in P.
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emph
type
="
italics
"/>
ipſiquè AD
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emph.end
type
="
italics
"/>
a puncto C
<
emph
type
="
italics
"/>
æqui diſtans ducatur CV,
<
emph.end
type
="
italics
"/>
qu
<
gap
/>
<
lb
/>
ipſi RH occurrat in V.
<
emph
type
="
italics
"/>
<
expan
abbr
="
triangulũ
">triangulum</
expan
>
ita〈que〉 ADC ad omnia triangu
<
lb
/>
la ex AM MK
<
emph.end
type
="
italics
"/>
k
<
emph
type
="
italics
"/>
F FC deſcripta ſimiliaipſi ADC,
<
emph.end
type
="
italics
"/>
hoc eſt ad tria
<
lb
/>
gula ASM M
<
foreign
lang
="
grc
">δ</
foreign
>
K K
<
foreign
lang
="
grc
">ε</
foreign
>
F FZC ſimul ſumpta
<
emph
type
="
italics
"/>
eandem habet propor
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lb
/>
tionem, quam habet CA ad AM. ſiquidem ſunt AM MK
<
emph.end
type
="
italics
"/>
k
<
emph
type
="
italics
"/>
F FC
<
emph.end
type
="
italics
"/>
<
arrow.to.target
n
="
marg126
"/>
<
lb
/>
<
emph
type
="
italics
"/>
æquales quia verò & triangulum ADB ad omnia ex AL LG GE
<
lb
/>
EB deſcripta triangula ſimilia
<
emph.end
type
="
italics
"/>
ALS LGN GEX EFO
<
emph
type
="
italics
"/>
eandem ha
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lb
/>
bet proportionem, quam ‘BA ad AL
<
emph.end
type
="
italics
"/>
: & antecedentes ſimul
<
arrow.to.target
n
="
marg127
"/>
<
lb
/>
omnes conſe〈que〉ntes, hoc eſt totum triangulum ABC ad on
<
lb
/>
nia triangula ſimul ſumpta, quæ ſunt in AB, & in AC conſti
<
lb
/>
tuta, eandem habebit proportionem, quam habet AC AB ſi
<
lb
/>
mul ad AM AL ſimul, quia verò ob
<
expan
abbr
="
ſimilitudinẽ
">ſimilitudinem</
expan
>
<
expan
abbr
="
triangulorũ
">triangulorum</
expan
>
<
lb
/>
ABC ALM CA ad AM eſt, vt BA ad AL; erit CA ad AM, vt
<
lb
/>
CA BA ſimul ad AM AL ſimul.
<
emph
type
="
italics
"/>
triangulum igitur ABC ad omnia
<
emph.end
type
="
italics
"/>
<
arrow.to.target
n
="
marg128
"/>
<
lb
/>
<
emph
type
="
italics
"/>
prædicta triangula eandem habet proportionem quam habet CA ad AM.
<
lb
/>
At〈que〉 CA ad AM maiorem habet proportionem quàm VR ad RH; e
<
lb
/>
tenim proportio ipſius CA ad AM eſt eadem, quæ est totius VR
<
expan
abbr
="
adipsã
">adipsam</
expan
>
<
lb
/>
R. p.
<
expan
abbr
="
quãdoquidẽ
">quandoquidem</
expan
>
triangula
<
emph.end
type
="
italics
"/>
ACD MC
<
foreign
lang
="
grc
">ω</
foreign
>
<
emph
type
="
italics
"/>
ſunt ſimilia.
<
emph.end
type
="
italics
"/>
<
expan
abbr
="
ſintq́
">ſint〈que〉</
expan
>
; AD &
<
arrow.to.target
n
="
marg129
"/>
<
lb
/>
M
<
foreign
lang
="
grc
">ω</
foreign
>
ęquidiſtantes, ſitquè propterea CA ad AM, vt CD ad
<
lb
/>
D
<
foreign
lang
="
grc
">ω</
foreign
>
. & quoniam VR DC àlineis DR
<
foreign
lang
="
grc
">ω</
foreign
>
p CV
<
arrow.to.target
n
="
marg130
"/>
<
lb
/>
diuiduntur; erit C
<
foreign
lang
="
grc
">ω</
foreign
>
ad
<
foreign
lang
="
grc
">ω</
foreign
>
D, vt VP ad PR. &
<
expan
abbr
="
cõponendo
">componendo</
expan
>
<
arrow.to.target
n
="
marg131
"/>
<
lb
/>
ad D
<
foreign
lang
="
grc
">ω</
foreign
>
, vt VR ad RP. quare vt CA ad AM, ita VR ad
<
arrow.to.target
n
="
marg132
"/>
<
lb
/>
quia verò VR ad RP maiorem habet proportionem,
<
arrow.to.target
n
="
marg133
"/>
<
lb
/>
ad RH. maiorem quo〈que〉 habebit proportionem CA ad
<
lb
/>
AM, quàm VR ad RH. eſt autem CA ad AM, vt
<
expan
abbr
="
triangulũ
">triangulum</
expan
>
<
lb
/>
ABC ad omnia triangula in lineis AC AB. (vt dictum eſt)
<
lb
/>
conſtituta; ergo
<
emph
type
="
italics
"/>
& triangulum ABC adprædicta
<
emph.end
type
="
italics
"/>
triangula
<
emph
type
="
italics
"/>
maio
<
lb
/>
rem habet proportionem, quàm VR ad RH. Quare & diuidendo pa-
<
emph.end
type
="
italics
"/>
<
arrow.to.target
n
="
marg134
"/>
<
lb
/>
<
emph
type
="
italics
"/>
<
expan
abbr
="
rallelogrāma
">rallelogramma</
expan
>
MN
<
emph.end
type
="
italics
"/>
k
<
emph
type
="
italics
"/>
X FO
<
emph.end
type
="
italics
"/>
hoc eſt figura LNGXEOZF
<
foreign
lang
="
grc
">ε</
foreign
>
K
<
foreign
lang
="
grc
">δ</
foreign
>
M)
<
emph
type
="
italics
"/>
ad
<
lb
/>
circumrelicta triangula
<
emph.end
type
="
italics
"/>
in lineis AC AB conſtituta
<
emph
type
="
italics
"/>
maiorem ha-
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>