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