DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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N10019
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077/01/046.jpg
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42
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<
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">PROPOSITIO. IIII.</
s
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<
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">Si due magnitudines æquales non idem
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centrũ
">centrum</
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>
<
lb
/>
grauitatis habuerint, magnitudinis ex vtriſ〈que〉
<
lb
/>
magnitudinibus compoſitæ centrum grauitatis
<
lb
/>
erit medium rectæ lineæ grauitatis centra magni
<
lb
/>
tudinum coniungentis. </
s
>
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<
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<
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Sit
<
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abbr
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quidẽ
">quidem</
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>
A
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<
lb
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n
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fig19
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<
lb
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<
emph
type
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<
expan
abbr
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centrũ
">centrum</
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grauita
<
lb
/>
tis magnitudi
<
lb
/>
nis A. B uerò
<
emph.end
type
="
italics
"/>
<
lb
/>
ſit
<
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abbr
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cẽtrũ
">centrum</
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gra
<
lb
/>
uitatis
<
emph
type
="
italics
"/>
magni
<
lb
/>
tudinis B iun
<
lb
/>
staquè AB bifariam diuidatur in C. dico magnitudinis ex utriſquè ma
<
lb
/>
gnitudinibus compoſitæ centrum
<
emph.end
type
="
italics
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grauitatis
<
emph
type
="
italics
"/>
eſſe punctum C. ſi.
<
expan
abbr
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n.
">enim</
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>
non; ſit
<
lb
/>
utrarumquè magnitudinum AB centrum grauitatis D, ſi fieri
<
expan
abbr
="
põt
">potest</
expan
>
. Quòd
<
lb
/>
autem ſit in linea AB, præoſtenſum est. </
s
>
<
s
id
="
N117AF
">Quoniam igitur punstum D
<
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abbr
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cẽ
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<
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type
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italics
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<
lb
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<
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n
="
marg34
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<
emph
type
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italics
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<
expan
abbr
="
trũ
">trum</
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eſt grauitatis magnitudinis ex AB
<
expan
abbr
="
cõpoſitæ
">compoſitæ</
expan
>
,
<
expan
abbr
="
ſuſpẽſo
">ſuſpenſo</
expan
>
<
expan
abbr
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pũcto
">puncto</
expan
>
D
<
emph.end
type
="
italics
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, magni
<
lb
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tudines AB
<
emph
type
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italics
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æ〈que〉ponderabunt. </
s
>
<
s
id
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N117D6
">magnitudines igitur AB
<
emph.end
type
="
italics
"/>
ęquales
<
emph
type
="
italics
"/>
æ〈que〉
<
lb
/>
ponderant ex diſtantiis AD DB
<
emph.end
type
="
italics
"/>
in ęqualibus exiſtentibus;
<
emph
type
="
italics
"/>
quod fie
<
emph.end
type
="
italics
"/>
<
lb
/>
<
arrow.to.target
n
="
marg35
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<
emph
type
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ri non poteſt. </
s
>
<
s
id
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N117F1
">æqualia.
<
expan
abbr
="
n.
">enim</
expan
>
<
emph.end
type
="
italics
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grauia
<
emph
type
="
italics
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ex diſtantiis in a qualibus non
<
expan
abbr
="
æ〈que〉põde-rãt
">æ〈que〉ponde
<
lb
/>
rant</
expan
>
.
<
emph.end
type
="
italics
"/>
<
expan
abbr
="
Nõ
">non</
expan
>
eſt igitur D
<
expan
abbr
="
ipſarũ
">ipſarum</
expan
>
<
expan
abbr
="
magnitudinũ
">magnitudinum</
expan
>
<
expan
abbr
="
cẽtrũ
">centrum</
expan
>
grauitatis..
<
emph
type
="
italics
"/>
Qua
<
lb
/>
re manifestum est punstum C
<
expan
abbr
="
centrũ
">centrum</
expan
>
eſſe grauitatis magnitudinis ex AB
<
lb
/>
compoſitæ.
<
emph.end
type
="
italics
"/>
quod demonſtrare oportebat. </
s
>
</
p
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<
p
id
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N11823
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type
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margin
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<
s
id
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N11825
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<
margin.target
id
="
marg34
"/>
<
emph
type
="
italics
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def. </
s
>
<
s
id
="
N1182B
">centri
<
lb
/>
grauit.
<
lb
/>
contra 2.
<
lb
/>
post huius
<
emph.end
type
="
italics
"/>
</
s
>
</
p
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<
p
id
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N11835
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type
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margin
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<
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margin.target
id
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marg35
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2
<
emph
type
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post hu
<
lb
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ius.
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type
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s
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id
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number
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p
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type
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head
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<
s
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N11848
">SCHOLIVM.</
s
>
</
p
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<
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id
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id.077.01.046.2.jpg
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xlink:href
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077/01/046/2.jpg
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number
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26
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<
p
id
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N1184D
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type
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main
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<
s
id
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N1184F
">Poſſunt magnitudines ęquales
<
expan
abbr
="
idẽ
">idem</
expan
>
<
expan
abbr
="
centrũ
">centrum</
expan
>
<
lb
/>
grauitatis habere, vt duo
<
expan
abbr
="
parallelogrãma
">parallelogramma</
expan
>
æ
<
lb
/>
qualia ad rectos ſibi
<
expan
abbr
="
inuicẽ
">inuicem</
expan
>
angulos exiſten
<
lb
/>
tia:
<
expan
abbr
="
triãgulũ
">triangulum</
expan
>
quo〈que〉 &
<
expan
abbr
="
parallelogrãmũ
">parallelogrammum</
expan
>
in
<
lb
/>
terſe æqualia.
<
expan
abbr
="
p̃terea
">propterea</
expan
>
cubos, piramides, cylin
<
lb
/>
dros, & huiuſmodi alias magnitudines ęqua
<
lb
/>
les
<
expan
abbr
="
idẽ
">idem</
expan
>
grauitatis
<
expan
abbr
="
cẽtrũ
">centrum</
expan
>
<
expan
abbr
="
hẽre
">herre</
expan
>
intelligere poſſu
<
lb
/>
mus. </
s
>
<
s
id
="
N11887
">propterea in propoſitione cùm inquit Archimedes
<
lb
/>
<
emph
type
="
italics
"/>
ſi duæ magnitudines æquales non idem centrum grauitatis
<
emph.end
type
="
italics
"/>
</
s
>
</
p
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</
chap
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</
body
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</
text
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</
archimedes
>