DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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quia verò inter principia collocari non poſſunt; cùm ſuas ha
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beant propoſitiones, ſuaſquè ſeorſum habeant demonſtratio
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nes, ideo inter propoſitiones ipſa collocare nobis viſum eſt.
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cùm pręſertim nonnulla ex ſe〈que〉ntibus theorematibus, po
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tiſſimùm verò proximum eiuſdem cum his duobus ordinis,
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& naturæ ſint. </
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<
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">Ne〈que〉 enim propterea peruertitur ordo; non
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enim hę propoſitiones in alium transferuntur locum. </
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<
s
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tùm</
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inter alias numeris adnotantur. </
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<
s
id
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">exiſtimandum enim eſt,
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Archimedem propoſitiones in ſerie propoſitionum collocaſ
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ſe. </
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<
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temporis; cuius proprium eſt, res potiùs deſtruere, quàm ac
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comodare. </
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<
s
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">Hoc autem nobis hanc præbebit commoditatem,
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vt, quando libuerit, has propoſitiones numeris nominare
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poſſimus. </
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<
s
id
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">id ipſumquè numeri poſtulata diſtinguentes præ
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ſtant, quamuis in Gręco codice poſtulata (Gręcorum more)
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numeris adnotata non ſint. </
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</
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<
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type
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<
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">PROPOSITIO. III.</
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<
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">Inæqualia grauia ex diſtantijs inæqualibus æ
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〈que〉ponderabunt, maius quidem ex minori. </
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A</
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Sint in æqualia grauia AD, B
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;
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ſit què maius AD
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, exceſſus ve
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rò, quo AD ſuperat B, ſit
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D.
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æ〈que〉põderentquè
">æ〈que〉ponderentquè</
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italics
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AD B
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ex
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diſtantiis AC C B. oſtendendum
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eſt, minorem eſſe
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<
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diftantiã
">diftantiam</
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AC
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ipſa CB. Non ſit quidem, ſi fie
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ri potest
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, AC minor, quàm CB; erit nimirum, vel ęqualis,
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vel maior. </
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<
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">Quòd ſi AC fuerit ęqualis ipſi CB,
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ablato enim
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exceſſu
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D,
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quo AD ſuperat B. cùm ab a〈que〉ponderantium altero ab
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latum ſit aliquid
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, grauia AB non æ〈que〉ponderabunt; ſed
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type
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præ-
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ponderabit ad B. non præponderabit autem; exiſtente enim AC aqua
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li CB
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, cùm ab inęqualibus grauibus AD B ablatus ſit ex
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ceſſus D,
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grauia
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, quæ relinquuntur AB, erunt inter ſe
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æqualia
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; </
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