DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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N10019
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pagenum
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59
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tione tractatus de libra duas attulimus demon ſtrationes
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oſtẽ-tes
">oſten
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tes</
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duo pondera vt CB tam in punctis CB ponderare, quàm ſi
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vtra〈que〉 ex puncto E ſuſpendantur. </
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<
s
id
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N120CB
">At verò quo niam demon
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lb
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ſtrationes ibi allatæ ijs indigent, quę Archimedes in ſe〈que〉n
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ti ſexta propoſitione demonſtrauit, idcirco demonſtrationes
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illæ huic loco non ſunt oportunæ; vt ex ipſisſumi poſſit tan
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quam demonſtratum pondera CB, tam in punctis CB pon
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derare, quàm ſi vtra〈que〉 ex E ſuſpendantur. </
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<
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id
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N120D7
">Quare hoc loco hę
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tantùm ſufficiant rationes, quæ dictæ ſunt. </
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<
s
id
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N120DB
">Ex quibus poteſt
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Archime des diſtam conſe〈que〉ntiam colligere; nempè magni
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tudines ABC ex D æ〈que〉ponderant, auferantur autem BC,
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& loco ipſarum vtriſ〈que〉 ſimul ę〈que〉grauis ponatur magnitu
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do in E; ſimiliter hęc magnitudo ipſi A æ〈que〉ponderabit. </
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<
s
id
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N120E5
">Po
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ſtea verò ex ijs, quæ Archimedes demonſtrauit, fieri poteſt re
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greſſus; v
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gap
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apertiùs, manifeſtiùſ què cognoſcere valeamus, pon
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dera BC ita ponderare, ac ſi vtra〈que〉 ex puncto E ſuſpen
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dantur. </
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<
s
id
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">Cęterum hoc loco Archimedes non ſolùm de duobus,
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abbr
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verũ
">verum</
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etiam de pluribus ponderibus idipſum
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abbr
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intelligendũ
">intelligendum</
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admittit.
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vt ſi magnitudines STVXZM æ〈que〉ponderent facta
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abbr
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ſuſpẽſio
">ſuſpenſio</
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ne ex puncto C. ſitquè magnitudinum MZ
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abbr
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centrũ
">centrum</
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grauitatis
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D; ipſarum verò STVX ſit centrum grauitatis E. ſi ita〈que〉 ma
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gnitudines STVX, & ZM ex C æ〈que〉ponderant; auferantur
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STVX, quarum loco ponatur in E magnitudo ipſis STVX ſi
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mul ſumptis ęqualis: auferanturquè ZM, at〈que〉
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expan
abbr
="
ipſarũ
">ipſarum</
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loco po
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lb
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natur in D magnitudo ipſis ZM ſimul ęqualis; tunclicetinfer
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re, ergo hæ magnitudines in ED poſitæ ę〈que〉pondera
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bunt. </
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<
s
id
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N12120
">Quod quidem ijsdem prorſus modis oſtendentur.
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præſertim ſi mente concipiamus diſtantias ES EX, </
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