DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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tatis intra figuram ſemper exiſtere aliquo modo intelligi po
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teſt. </
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per def.
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. grau.
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<
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">Refert Eutocius hoc loco, Geminum rectè dicere, dum aſſe
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rit Archimedem dignitates petitiones apellare. </
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<
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">æqualia enim
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grauia ex diſtantijs æqualibus æ〈que〉ponderare, dignitas eft; &
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quæ deinceps.
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Verũ
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ſi hæc principia ab Archimede tradita re
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ctè perpendamus, omnia dignitates eſſe minimè reperiemus.
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nam ſeptimum poſtulatum eſt definitio, non dignitas. </
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<
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alia fortaſſe nonnulla non ſunt dignitates, vt ſecundum; quod
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aliquo modo probari poteſt, vt diximus. </
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<
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">ſextum quo〈que〉 po
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tiùs eſt ſuppoſito, quàm dignitas. </
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<
s
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">Quoniam autem vt clarè
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conſpicitur Archimedes ſub vno tantùm titulo pauca hæc
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principia complecti voluit; quippe quod inſtitutum quàm plu
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rimis mathematicis ſolemne fuit, qui principia vnico tantum
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nomine nuncuparunt, modò vno, modò altero; nimirum,
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vel petitionis, vel dignitatis, vt refert Proclus ſecundo libro, &
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tertio ſuorum commentariorum in primum elementorum. </
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<
s
id
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N11335
">Eu
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clidis; qui de Archimede peculiariter mentionem faciens, in
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quit illum in his libris principia vnico tantùm nomine (peti
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tionis ſcilicet) nuncupaſſe. </
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>
<
s
id
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N1133D
">Hæc tamen potiùs petitionum,
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quàm definitionum, vel dignitatum nomine nuncupare vo
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luit; nam ſi dignitates appellaſſet; ea principia, quæ non ſunt
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dignitates, inter dignitates malè collocaſſet. </
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>
<
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id
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">nulla quippè defi
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nitio dignitas dici debet; quandoquidem definitio terminos
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declarat, at〈que〉 conſtituit. </
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<
s
id
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">dignitas verò notos terminos copu
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lat. </
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<
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id
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">Pariquè ratione ſi definitionis nomine hæc principia nun
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cupaſſet. </
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<
s
id
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">dignitates malè ſub hoc nomine complexus fuiſſet,
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quæ nullo modo rem definiunt, ſed cùm ſint communes no
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tiones, ſtatim cùm eas intellectus apprehendit, quieſcit. </
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>
<
s
id
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">Qua
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re omnia ſub petitionum nomine recte collocauit, non eſt.
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n.
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abſurdum dignitates, definitioneſquè poſſe apellari petitio
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nes. </
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<
s
id
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">etenim petimus, quæ ſunt concedenda, at〈que〉 dignitates
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ſunt concedendę, ergo eas petere quo〈que〉 poſſumus. </
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<
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">Definitio
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nibus verò rectè quo〈que〉 hoc nomen conuenire poteſt. </
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<
s
id
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">Nam
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dùm definitio terminos conſtituat, at〈que〉 declaret, cur non pe
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tere poſſumus, terminos ſic ſe habere, vel ſiceſſe rectè definitos?
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vt exempli gratia, petit Archimedes puncta in figuris fimiliter </
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