Commentarii Collegii Conimbricensis e Societate Jesu. In universam dialecticam Aristotelis Stagirita
,
1606
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QVAESTIO III. ARTIC. II.
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ergo dicebamus has relationes fundari in adęquatione, vel inadęquatio-
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xml:space
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lutio.</
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ne partium integrantium per ſe extenſarum, quæ quoniam ſoli quantita-
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ti per ſe conueniunt, ideò hoc illi attributum, vt aliquid eidem proprium
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adquirunt.</
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</
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<
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<
s
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xml:space
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">Hoc poſito ſit prima concluſio.</
s
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<
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xml:space
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preserve
"> Æqualitas, & inęqualitas quantitatum
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xml:space
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">Prima aſſer
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tio.</
note
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permanentiũ ſemper ſunt reales.</
s
>
<
s
xml:id
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echoid-s-d1e103849
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xml:space
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preserve
"> Probatur, quando fundamenta ſunt rea-
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lia, realiter diſtincta, & exiſtentia relationes ſunt reales;</
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<
s
xml:id
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echoid-s-d1e103854
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xml:space
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preserve
"> ſed ita ſe habent
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quantitates permanentes, cum fundant æqualitatem, & inæqualitatem,
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<
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xml:space
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tio.</
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ergo, &c.</
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<
s
xml:id
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xml:space
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preserve
"> Maior ſupponitur ex ſequenti capite.</
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<
s
xml:id
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xml:space
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preserve
"> Minor oſtenditur quoad
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omnes partes.</
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<
s
xml:id
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xml:space
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"> Inprimis enim quantitates permanentes ſunt reales;</
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xml:space
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preserve
"> dein-
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de, cum illis conueniunt prædictę relationes, actu exiſtunt, ſiquidem oſtẽ-
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ſum eſt eas non fundari in conuenientia, vel diuerſitate ſpecifica, aliouè
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prędicato neceſſario, quod ante exiſtentiam competat, ſed in actuali cõ-
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menſuratione.</
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<
s
xml:id
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xml:space
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preserve
"> Denique realiter inter ſe diſſerunt, quia nunquam compa-
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rantur quoad hanc aſſectionem duę partes eiuſdem quantitatis, ſed tota-
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les quantitates inter ſe;</
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<
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xml:space
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preserve
"> cum enim in toto cubito, verbi gratia, non ſolum
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ſint duæ dimidietates, ſed quatuor quartæ, & octo octauæ, & ſic deinceps
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in infinitum, non eſſet determinatus numerus relationum, imò cum con-
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ferri poſsint non tantum æquales, ſed etiam inęquales, eſſent infinitæ vtri
<
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uſque generis relationes, quod nemo concedet.</
s
>
<
s
xml:id
="
echoid-s-d1e103904
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xml:space
="
preserve
"> Non diffitemur compa-
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rari poſſe per intellectum, & partes eiuſdem totalis quantitatis inter ſe,
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& duas quantitates non exiſtentes, quo in euentu relationes rationis par
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ticipabunt;</
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<
s
xml:id
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xml:space
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preserve
"> ſed aptitudo, quę attributum propriè conſtituit, eas tantùm
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reſpicit, quæ ex natura rei conuenire poſſunt.</
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>
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<
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<
s
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xml:space
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">Secunda concluſio.</
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<
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xml:id
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xml:space
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preserve
"> Æqualitas, & inæqualitas quantitatum ſucceſsiua-
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<
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xml:space
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">Secunda aſ-
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ſertio.
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Probatur
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primò.</
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rum (ſi quantitates ſunt) omnes ſunt rationis.</
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>
<
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xml:space
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preserve
"> Probatur primo.</
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<
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xml:space
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preserve
"> Nullum
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datur temporis punctum, in quo duo motus verbi gratia æquales, vel in-
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ęquales exiſtere poſſunt;</
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<
s
xml:id
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xml:space
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"> ergo eorum relationes reales non ſunt.</
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<
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xml:space
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"> Conſe-
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quentia valet ex principio, quod ſupponimus ex relationum doctrina:</
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xml:space
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"> nũ
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quam ſcilicet relationem realem conuenire ſubiecto, niſi in eo exiſtat.</
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Antecedens ſuadetur, quia dum motus procedunt, ſemper ſunt indifferẽ
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tes, vt ſint ęquales, vel inęquales, præſertim ſi pendeant à cauſa contingẽ
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ti, quæ à motu ceſſare poſsit;</
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<
s
xml:id
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xml:space
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preserve
"> ergo neutrum determinatè habebunt, niſi
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poſtquam peracti ſunt, at tunc reales relationes habere non poſſunt:</
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>
<
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go.</
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<
s
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xml:space
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"> Secundo, æqualitas (idem eſt de inæqualitate) denominat immediatè
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">Probatur ſe
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cundò.</
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totam quantitatem:</
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<
s
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xml:space
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"> ſed totus motus non exiſtit realiter æqualis alteri;</
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<
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xml:id
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ergo non poteſt totus denominari à relatione reali.</
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<
s
xml:id
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xml:space
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"> Explicatur maior.</
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<
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Cubitus non eſt ęqualis alteri per ęqualitates ſuarum partium, hoc eſt,
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per æqualitates ſemicubiti ad alterum ſemicubitum, ſed per ſe totum;</
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<
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alioquin darentur ſimul in eadem quantitate relationes ęqualitatis, &
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inęqualitatis reſpectu eiuſdem, nam cubitus eſt ęqualis alteri cubito inę
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qualis verò dimidietati illius:</
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>
<
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xml:space
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preserve
"> ergo ſi ratione partium hanc ſubeat deno-
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minationem, habebit ſimul plures relationes æqualitatis, & inæqualita-
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tis, imò infinitas, cum infinitis conſtet partibus æqualibus, & inęqualibus
<
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partibus alterius quantitatis.</
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<
s
xml:id
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xml:space
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"> Cum igitur hoc in Philo ſophia incom
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o-
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dum ſit maximum, fatendum erit in ſucceſsiuis ęqualitatem, vel inæ
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a-
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<
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xlink:label
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xml:space
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">Euertitur
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quorundam
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obiectio.</
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litatem realem eſſe non poſſe, ſed in mente conceptam, aut dum fiun
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ut
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cum iam perfecta ſunt.</
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<
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xml:space
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