DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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<
archimedes
>
<
text
>
<
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<
chap
id
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N10019
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077/01/087.jpg
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83
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*</
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<
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<
s
id
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N12EE4
">Ex hac nona propoſitione duo corolloria elicere poſſum^{9};
<
lb
/>
quæ quidem tanquam valde nota fortafſe videtur omiſiſſe Ar
<
lb
/>
chimedes. </
s
>
<
s
id
="
N12EEA
">quamuis
<
expan
abbr
="
primũ
">primum</
expan
>
in ſe〈que〉nti
<
expan
abbr
="
demõſtratione
">demonſtratione</
expan
>
inſeruit. </
s
>
</
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type
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head
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<
s
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">COROLLARIVM. I.</
s
>
</
p
>
<
p
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type
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<
s
id
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">Ex hoc perſpicuum eſt cuiuſlibet parallelogrammi
<
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abbr
="
cẽtrum
">centrum</
expan
>
<
lb
/>
grauitatis eſſe punctum, in quo coincidunt rectæ lineæ, quæ
<
lb
/>
oppoſita latera bifariam ſecant. </
s
>
</
p
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<
p
id
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type
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<
s
id
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">Nam (vt Archimedes etiam ſe
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/>
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arrow.to.target
n
="
fig34
"/>
<
lb
/>
〈que〉nti demonſtratione inquit)
<
lb
/>
ſi parallelogrammi ABCD lineę
<
lb
/>
EF GH bifariam diuident late
<
lb
/>
ra oppoſita AB DC, & AD BC.
<
lb
/>
patet in EF centrum eſſe graui
<
lb
/>
tatis parallelogrammi AC. ſimi
<
lb
/>
liter conſtat idem centrum eſſe
<
lb
/>
in linea GH, quæ oppoſita latera AD BC bifariam ſecat. </
s
>
<
s
id
="
N12F1D
">e
<
lb
/>
ritigitur in K, vbi EF GH ſeinuicem ſecant. </
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id.077.01.087.1.jpg
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xlink:href
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number
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<
p
id
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type
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head
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<
s
id
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">COROLLARIVM. II.</
s
>
</
p
>
<
p
id
="
N12F29
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type
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main
">
<
s
id
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N12F2B
">Ex hoc patet etiam, cuiuſlibet parallelogrammi
<
expan
abbr
="
centrũ
">centrum</
expan
>
gra
<
lb
/>
uitatis eſſe in medio rectæ lineę, quæ bifariam oppoſita latera
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lb
/>
diſpeſcit. </
s
>
</
p
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<
p
id
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N12F35
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type
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<
s
id
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N12F37
">Cùm enim oſtenſum ſit centrum grauitatis parallelogram
<
lb
/>
mi AC eſſe punctum K. & ob parallelogrammum EH eſt
<
lb
/>
EK æqualis BH. propter parallelogrammum verò
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arrow.to.target
n
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marg84
"/>
<
lb
/>
linea KF eſt æqualis HC. ſuntquè BH HC æqua
<
lb
/>
les. </
s
>
<
s
id
="
N12F44
">erit EK ipſi KF æqualis. </
s
>
<
s
id
="
N12F46
">punctum ergo K eſt in medio
<
lb
/>
rectæ lineę EF, quæ oppoſita latera AB DC bifariam diui
<
lb
/>
dit.
<
expan
abbr
="
Eodẽq́
">Eoden〈que〉</
expan
>
; prorſus modo
<
expan
abbr
="
oſtẽdetur
">oſtendetur</
expan
>
, K
<
expan
abbr
="
mediũ
">medium</
expan
>
eſſe rectę lineę
<
lb
/>
GH, quæ bifariam ſecat oppoſita latera AD BC. </
s
>
</
p
>
<
p
id
="
N12F5A
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type
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34.
<
emph
type
="
italics
"/>
primi.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
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<
p
id
="
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type
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main
">
<
s
id
="
N12F67
">In ſe〈que〉nti Archimedes adhuc perſiſtit in inuentione cen
<
lb
/>
tri grauitatis parallelogrammorum, alia tamen methodo.
<
lb
/>
nam hoc peripſorum parallelogrammorum diametros duo
<
lb
/>
bus modis aſſequitur. </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>