DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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<
archimedes
>
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25
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primi libri propoſitione pater. </
s
>
<
s
id
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">demonſtrationes enim cla
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lb
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riores redduntur. </
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p
id
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type
="
main
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<
s
id
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">Porrò non ignoran
<
lb
/>
dum hoc Archimedis
<
lb
/>
poſtulatum verificari
<
lb
/>
de ponderibus quocun
<
lb
/>
〈que〉 ſitu diſpoſitis, ſiue
<
lb
/>
CED fuerit horizonti
<
lb
/>
<
expan
abbr
="
æquidiſtãs
">æquidiſtans</
expan
>
, ſiuè minùs;
<
lb
/>
vt in hac prima figura,
<
lb
/>
codem modo ſemper
<
lb
/>
verum eſſe pondera æ
<
lb
/>
qualia CD ex ęquali
<
lb
/>
bus diſtantijs EC ED
<
lb
/>
æ〈que〉ponderare, vt in
<
lb
/>
fra (poſt ſcilicet
<
expan
abbr
="
quartã
">quartam</
expan
>
<
lb
/>
huius propoſitionem)
<
lb
/>
perſpicuum erit. </
s
>
<
s
id
="
N10DBE
">Qua
<
lb
/>
re cùm Archimedes
<
expan
abbr
="
tã
">tam</
expan
>
<
lb
/>
in hoc poſtulato,
<
expan
abbr
="
quã
">quam</
expan
>
<
lb
/>
in ſe〈que〉ntibus, ſuppo
<
lb
/>
nit pondera in diſtan
<
lb
/>
tijs eſſe collocata, intel
<
lb
/>
ligendum eſt
<
expan
abbr
="
diſtãtias
">diſtantias</
expan
>
<
lb
/>
ex vtra〈que〉 parte in ea
<
lb
/>
dem recta linea exiſte
<
lb
/>
re. </
s
>
<
s
id
="
N10DDE
">Nam ſi (vt in ſecun
<
lb
/>
da figura)
<
expan
abbr
="
diſtãtia
">diſtantia</
expan
>
AB
<
lb
/>
fuerit ęqualis diſtantię BC, quæ non indirectum iaceant,
<
lb
/>
ſed angulum conſtituant; tunc pondera AB, quamuis ſint
<
lb
/>
ęqualia, non ę〈que〉ponderabunt. </
s
>
<
s
id
="
N10DEC
">niſi quando (vt in tertia fi
<
lb
/>
gura) iuncta AC, bifariamquè diuiſa in D, ductaquè BD,
<
lb
/>
fuerit hęc horizonti perpendicularis, vt in eodem tractatu
<
lb
/>
noſtro expoſuimus. </
s
>
<
s
id
="
N10DF4
">Diſtantias igitur in eadem recta linea
<
lb
/>
ſemper exiſtere intelligendum eſt. </
s
>
<
s
id
="
N10DF8
">vt ex demonſtrationibus
<
lb
/>
Archimedis perſpicuum eſt. </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>