Biancani, Giuseppe, Aristotelis loca mathematica, 1615
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              313</s>
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              <s id="s.003689">Lib. 5. cap. 6.
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              (Atque id vel proportione vel numero)
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              ideſt, vel proportio­
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              nalitate Geometrica, vel Arithmetica; quæ autem ſit proportionalitas
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              Geometrica, dictum eſt paulò ante in prioribus locis Mathematicis huius
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              quinti libri; quæ verò ſit proportionalitas Arithmetica dictum eſt ſuperius
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              lib. 2. cap. 6. Verum hæc Arithmetica proportionalitas, meritò ab Ariſtot.
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              hic contradiſtincta eſt à proportionalitate Geometrica: quia Arithmetica
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              hæc analogia attenditur ſolum, iuxta eundem exceſſum numerorum, non,
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              autem iuxta proportionem, ſeu habitudinem terminorum ad inuicem, quod
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              maximè in Geometrica ſpectatur. </s>
              <s id="s.003690">propterea Mathematici
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              eam vo­
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              candam eſſe potius medietatem Arithmeticam, quam proportionalita­
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              tem, cum quibus nunc Ariſt. conſentit.</s>
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              <s id="s.003693">Lib. 6. cap. 5.
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              (Verbi cauſa triangulum tres angulos duobus rectis æquales ha­
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              bere, vel non habere)
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              lib. 1. Priorum, ſecto 3. cap. 1. fusè hanc trianguli affe­
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              ctionem expoſui.</s>
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              <s id="s.003696">Lib. 6. cap. 8.
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              (Nam illud etiam conſideratione dignum videtur. </s>
              <s id="s.003697">quid ſit, quod
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              puer fieri Mathematicus poteſt, ſapiens autem naturalis non poteſt. </s>
              <s id="s.003698">An quia illa
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              per abſtractionem ſunt, horum autem principia ab experientia ſumuntur)
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              Ex hoc
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              loco manifeſtè apparet Ariſt. exiſtimare principia Mathematica nullo mo­
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              do nobis per experientiam innoteſcere, quod nonnulli negant.</s>
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              <s id="s.003701">Lib. 7. cap. 8.
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              (In actionibus autem principium illud eſt, cuius cauſa res fit,
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              ſicut in Mathematicis ſuppoſitiones; nam neque illic ratio eſt, quæ doctrinam tra­
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              dat principiorum, neque hic
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              ) Suppoſitionum, ſiue principiorum Mathemati­
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              corum tria ſunt genera, definitiones, poſtulata, axiomata, quæ in ipſo primi
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              Elementorum veſtibulo proponuntur: ſolaque terminorum explicatione
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                <expan abbr="abſq;">abſque</expan>
              vllo diſcurſu, addiſcuntur.</s>
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              Ex primo Libro Magnorum Moralium.
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              <s id="s.003705">Cap. 1. (
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              Nec enim luſtitia eſt numerus pariter par
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              ) vt ſcilicet dicebat
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              Pythagoras. </s>
              <s id="s.003706">Porrò definit. </s>
              <s id="s.003707">8. 7. ſic habetur: Pariter par nume­
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              rus eſt, quem par numerus per numerum parem, ideſt paribus vi­
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              cibus, metitur, cuiuſmodi eſt numerus 24. quem numerus 6. me­
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              titur per numerum parem, nimirum per 4. quia ſcilicet numerus 6. paribus
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              vicibus, quippe per 4. ſiue quater ipſum numerum 24. menſurat, quia to­
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              ties in ipſo adæquatè continetur.</s>
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              <s id="s.003710">Cap. 2. (
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              Abſurdum enim ſit, volenti oſtendere triangulum duobus rectis æqua­
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              les habere angulos, ſumere principium huiuſmodi, anima immortalis est
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              ) Repete,
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              quæ de hac trianguli proprietate fusè ſcripſi lib. 1. Priorum, ſect. </s>
              <s id="s.003711">3. cap. 1.
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              quam affectionem debet Geometra demonſtrare ex Geometriæ principijs,
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              quemadmodum facit Euclides in 32. primi, non autem ex principijs extrin­
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              ſecis, vt quod anima ſit immortalis.</s>
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              <s id="s.003714">Cap. 10.
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              (Vt enim habuerint principia, ita, quæ de principijs ortum ducunt,
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              Perſpicuè autem licet hoc in Geometria magis intueri, vbi cum aliqua ſumpſeris
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              principia, vt ea habuerint, ita etiam, quæ ipſa conſequuntur: velut ſi triangulum
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              duobus rectis æquales habet angulos, quadratum
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              quatuor angulis rectis ha-
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              </s>
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