DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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pagenum
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78
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tius AB quod fieri non poteſt. </
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<
s
id
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N12B92
">ſiquidem eſt punctum C, vt
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ſuppoſitum fuit. </
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<
s
id
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N12B96
">Vnde ne〈que〉 illud punctum H ipſius DG
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abbr
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cẽ
">cem</
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trum grauitatis exiſteret. </
s
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</
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<
p
id
="
N12B9E
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type
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main
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<
s
id
="
N12BA0
">Hic eſt terminus primę partis principalis, in qua Archime
<
lb
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des (vt initio dixim^{9}) de magnitudinib^{9}, & degrauibus in
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communi pertractauit; quandoquidem propoſitiones, ac de
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monſtrationes tam planis, quàm ſolidis quibuſcun〈que〉 ſunt
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lb
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accomodatæ; vt manifeſtum fecimus. </
s
>
</
p
>
<
p
id
="
N12BAA
"
type
="
main
">
<
s
id
="
N12BAC
">Nunc ita 〈que〉 ſe conuertit Archimedes ad
<
expan
abbr
="
inueſtigandũ
">inueſtigandum</
expan
>
cen
<
lb
/>
tra grauitatis planorum. </
s
>
<
s
id
="
N12BB4
">primùm què perquirit centrum gra
<
lb
/>
uitatis parallelogrammorum; oſtendetquè centrum grauitatis
<
lb
/>
cuiuſlibet parallelogrammi eſſe in recta linea, quæ coniungit
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lb
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oppoſita latera bifariam diuiſa. </
s
>
<
s
id
="
N12BBC
">ob cuius intelligentiam hæc
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lb
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priùs lemmata in vnum collecta nouiſſe erit valdè vtile. </
s
>
</
p
>
<
p
id
="
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type
="
head
">
<
s
id
="
N12BC2
">LEMMA.</
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>
</
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>
<
p
id
="
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type
="
main
">
<
s
id
="
N12BC6
">Sit parallelogrammum ABCD, cuius oppoſita latera AB
<
lb
/>
CD ſint bifariam diuiſa in EF. connectaturquè EF, quæ ni
<
lb
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mirum æquidiſtans erit ipſis AC BD. Deinde diuidatur v
<
lb
/>
<
arrow.to.target
n
="
fig33
"/>
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naquæ〈que〉 AE EB in partes numero pares, & inuicem ęqua
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lb
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les; vt in AG GE; & EH HB.
<
expan
abbr
="
ducãturquè
">ducanturquè</
expan
>
GK HL ipſi
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lb
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EF ęquidiſtantes. </
s
>
<
s
id
="
N12BDB
">ſit verò centrum grauitatis ipſius AK pun
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ctum M. ipfius verò GF punctum N, & ipſius EL pun
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lb
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ctum O deniquè ipſius HD punctum P. Dico primùm
<
expan
abbr
="
pũ
">pum</
expan
>
<
lb
/>
cta MNOP eſſe in linea recta. </
s
>
<
s
id
="
N12BE7
">deinde lineas MN NO OP
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lb
/>
inter centra exiſtentes inter ſe æquales eſſe. </
s
>
<
s
id
="
N12BEB
">Deni〈que〉 centrum
<
lb
/>
grauitatis parallelogrammi AD eſſe in linea NO, quę con
<
lb
/>
iungit centra grauitatis ſpatiorum mediorum; parallelogram
<
lb
/>
morum ſcilicet GF EL. </
s
>
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