Biancani, Giuseppe, Aristotelis loca mathematica, 1615

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              213</s>
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              <s id="s.002416">Tex. 4. (
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              Similiter autem figurationum
                <expan abbr="quoq;">quoque</expan>
              elementa dicuntur, ac ſimpliciter
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              demonſtrationum primæ enim demonſtrationes, quæ in pluribus demonstrationibus
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              inſunt, hæc elementa demonſtrationum dicuntur
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              ) verbo (
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              Figurationum
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              ) ſiue
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                ſcriptionum</expan>
              , Ariſt, intelligere demonſtrationes Geometricas, ſæpius dictum
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              eſt, præſertim in Logicis, & ex hoc loco pariter confirmatur. </s>
              <s id="s.002417">Ex hoc por­
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              rò loco illud innoteſcit dignum, quod præcipuè à Mathematico non igno­
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              retur, quæ nam ſint demonſtrationes illæ, quæ nomine
                <expan abbr="elementorũ">elementorum</expan>
              debeant
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              appellari, necnon cauſa cur Euclides ſuum opus elementa nuncupauerit,
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              ſunt enim illæ, quæ in pluribus demonſtrationibus inſunt, ideſt, quæ ſæpius
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              in alijs demonſtrationibus citantur, vti ſunt præcipuè ſex priores libri Eu­
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              clidis:
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              hac ratione elementa appellantur.</s>
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              214</s>
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              <s id="s.002420">Tex. 12.
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              (Principium
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              ſcibilis, circa
                <expan abbr="vnumquodq;">vnumquodque</expan>
              ipſum vnum, non eſt au­
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              tem idem in cunctis generibus vnum, ſed hic quidem dieſis, hic verò vocalis, aut
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              muta)
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              ideſt, in Muſica quidem principium omnium, & elementum eſt die­
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              ſis, quæ eſt minima vox, aut ſonus, qui ſub Muſici conſiderationem cadat.
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              </s>
              <s id="s.002421">Porrò ad tex. 38. primi Poſter. de dieſi plura ſunt dicta.</s>
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              215</s>
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              <s id="s.002424">Tex. 17.
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              (Veluti diametrum commenſurabilem eſſe impoſſibile est)
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              huius expo­
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              ſitionem inuenies 1. Priorum, ſecto 1. cap. 23.</s>
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              216</s>
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              <s id="s.002427">Tex. eodem
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              (Metaphoricè autem, quæ in Geometria po­
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              tentia dicitur)
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              potentiam vnius lineæ appellant Geometræ
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              quadratum illius, ideſt quadratum ſuper ipſam conſtru­
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              ctum. </s>
              <s id="s.002428">v. g. quadratum in quo C, dicitur potentia lineæ
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              D B, quia ſuper illam conſtructum eſt.</s>
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              217</s>
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            <p type="main">
              <s id="s.002431">Tex. 34. (
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              Quemadmodum dicitur diametrum eſſe commenſurabilem
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              ) vide an­
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              notata 1. Priorum, ſecto 1. cap. 23.</s>
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              218</s>
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              <s id="s.002434">Tex. 35. (
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              Vt triangulo duos rectos habere
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              ) ideſt affectio trianguli eſt habe­
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              re tres angulos æquales duobus rectis angulis. </s>
              <s id="s.002435">Vide declarationem huius
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              lib. primo Priorum, ſecto 3. cap. 1.</s>
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            <p type="head">
              <s id="s.002436">
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              Ex Sexto Metaphyſicæ.
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              219</s>
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            <p type="main">
              <s id="s.002439">Tex. 1. (
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              Mathematicorum quoque principia, elementa, & cauſæ ſunt
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              )
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              notanda ſunt hæc aduerſus quoſdam, qui negant in Mathemati­
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              cis cauſas reperiri, vt hinc
                <expan abbr="quoq;">quoque</expan>
              illis ſcientiam auferant. </s>
              <s id="s.002440">enim­
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              uerò apertè patet eos falli ex toto hoc Ariſt. diſcurſu.</s>
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            <p type="head">
              <s id="s.002441">
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              Ex Nono Metaphyſicæ.
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              </s>
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              220</s>
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            <p type="main">
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              Vt ſi quis dicat diametrum poſſe commenſurari, non tamen commenſu­
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              rabitur
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              ) & paulò infra (
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              Commenſurari enim impoſſibile eſt
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              ) expoſi­
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              tionem horum reperies 1. Priorum, ſecto 1. cap. 23.</s>
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              221</s>
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            <p type="main">
              <s id="s.002447">Tex. 20. (
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              Deſcriptiones
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              actu inueniuntur, diuidentes nanque
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              inuenirent, quod ſi diuiſæ eſſent, manifeſtè eſſent, nunc autem inſunt potentia, cur
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              triangulus duo recti? </s>
              <s id="s.002448">quia qui circa vnum punctum anguli duobus rectis æquales
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              </s>
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