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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cẽt
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. grau.
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<
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id
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">Refert Eutocius hoc loco, Geminum rectè dicere, dum aſſe
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lb
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rit Archimedem dignitates petitiones apellare. </
s
>
<
s
id
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N1130F
">æqualia enim
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grauia ex diſtantijs æqualibus æ〈que〉ponderare, dignitas eft; &
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quæ deinceps.
<
expan
abbr
="
Verũ
">Verum</
expan
>
ſi hæc principia ab Archimede tradita re
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lb
/>
ctè perpendamus, omnia dignitates eſſe minimè reperiemus.
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nam ſeptimum poſtulatum eſt definitio, non dignitas. </
s
>
<
s
id
="
N1131D
">veluti
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alia fortaſſe nonnulla non ſunt dignitates, vt ſecundum; quod
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aliquo modo probari poteſt, vt diximus. </
s
>
<
s
id
="
N11323
">ſextum quo〈que〉 po
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lb
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tiùs eſt ſuppoſito, quàm dignitas. </
s
>
<
s
id
="
N11327
">Quoniam autem vt clarè
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lb
/>
conſpicitur Archimedes ſub vno tantùm titulo pauca hæc
<
lb
/>
principia complecti voluit; quippe quod inſtitutum quàm plu
<
lb
/>
rimis mathematicis ſolemne fuit, qui principia vnico tantum
<
lb
/>
nomine nuncuparunt, modò vno, modò altero; nimirum,
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lb
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vel petitionis, vel dignitatis, vt refert Proclus ſecundo libro, &
<
lb
/>
tertio ſuorum commentariorum in primum elementorum. </
s
>
<
s
id
="
N11335
">Eu
<
lb
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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
<
lb
/>
tionis ſcilicet) nuncupaſſe. </
s
>
<
s
id
="
N1133D
">Hæc tamen potiùs petitionum,
<
lb
/>
quàm definitionum, vel dignitatum nomine nuncupare vo
<
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/>
luit; nam ſi dignitates appellaſſet; ea principia, quæ non ſunt
<
lb
/>
dignitates, inter dignitates malè collocaſſet. </
s
>
<
s
id
="
N11345
">nulla quippè defi
<
lb
/>
nitio dignitas dici debet; quandoquidem definitio terminos
<
lb
/>
declarat, at〈que〉 conſtituit. </
s
>
<
s
id
="
N1134B
">dignitas verò notos terminos copu
<
lb
/>
lat. </
s
>
<
s
id
="
N1134F
">Pariquè ratione ſi definitionis nomine hæc principia nun
<
lb
/>
cupaſſet. </
s
>
<
s
id
="
N11353
">dignitates malè ſub hoc nomine complexus fuiſſet,
<
lb
/>
quæ nullo modo rem definiunt, ſed cùm ſint communes no
<
lb
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tiones, ſtatim cùm eas intellectus apprehendit, quieſcit. </
s
>
<
s
id
="
N11359
">Qua
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re omnia ſub petitionum nomine recte collocauit, non eſt.
<
expan
abbr
="
n.
">enim</
expan
>
<
lb
/>
abſurdum dignitates, definitioneſquè poſſe apellari petitio
<
lb
/>
nes. </
s
>
<
s
id
="
N11365
">etenim petimus, quæ ſunt concedenda, at〈que〉 dignitates
<
lb
/>
ſunt concedendę, ergo eas petere quo〈que〉 poſſumus. </
s
>
<
s
id
="
N11369
">Definitio
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nibus verò rectè quo〈que〉 hoc nomen conuenire poteſt. </
s
>
<
s
id
="
N1136D
">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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>
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</
archimedes
>