Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
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ADDITAMENTVM.
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DE NATVRA SCIENTIARVM
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MATHEMATICARVM.
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<
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">Qvoniam in hoc Opere multa ad Mathematicarum natu
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ram ſpectantia ſparſim dicta ſunt, non ab re,
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ingratum
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Lectori fore duxi, ea quodammodo huc in vnum congerere,
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quæ ad earum naturam ritè percipiendam neceſſaria eſſe vi
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derentur. </
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<
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id
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">præſertim cùm recentiorum quamplurimi, qui eas
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læuiter nimis attigerunt, hac de re, veluti cæci de colore, plu
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ribus ad internam tamen earum naturam minimè ſpectantibus, garrire ge
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ſtiant. </
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<
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">Vt autem tractatio euadat planior, eam ſic commodè partiemur, vt</
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">Primo, De materia, ſeu ſubiecto harum diſciplinarum agamus.</
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">2. De medio Demonſtrationum Geometricarum, ſeu, vtrum ſint De
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monſtrationes potiſſimæ.</
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">3. De præſtantia ſcientiæ, quam nobis pariunt.</
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<
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">4. Aliquot calumniarum dilutio.</
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">5. De Mathematicis medijs.</
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Deſubiecto Geometræ, & Arithmeticæ, quod ſolet dici
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Materia intelligibilis. </
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<
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">Cap. 1.
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<
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">Primò, agemus de puris Mathematicis Geometria, & Arithmetica,
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quarum eſt diuerſa ratio à medijs, Aſtronomia, ſcilicet Perſpecti
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ua, Mechanica, & Muſica. </
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<
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">Quantitas igitur abſtracta à materia
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ſenſibili dupliciter conſiderari ſolet. </
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<
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id
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">conſideratur enim à Phyſico,
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& Mathematico ſecundum ſe, ideſt, abſolutè, quatenus Quantitas eſt; ſiue
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terminata ſit, ſiue non; qua ratione affectiones ipſius ſunt, diuiſibilitas, lo
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cabilitas, figurabilitas, &c. </
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<
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">à Geometra verò, & Arithmetico conſidera
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tur non abſolutè, ſed quatenus eſt terminata, vt ſunt in quantitate continua
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lineæ finitæ rectæ, aut curuæ, vt ſunt ſuperficies terminatæ, ex quibus variæ
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fiunt figuræ, vt circulus, triangulum, &c. </
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<
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">vt tandem ſunt ſolida item termi
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nata, ex quibus variæ exiſtunt ſpecies ſolidarum figurarum, veluti, pyramis,
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cubus, conus, cylindrus, &c. </
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<
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">quæ ad Geometram pertinent. </
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<
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">Quæ omnia in
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quantitate etiam diſcreta, ſeu in numeris proportionaliter </
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