Biancani, Giuseppe, Aristotelis loca mathematica, 1615

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                <pb pagenum="143" xlink:href="009/01/143.jpg"/>
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              hæc addenda ſunt. </s>
              <s id="s.002459">Reſpondet Ariſt. quæ­
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              ſito pręcedenti, cur ſcilicet angulus in ſe­
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              micirculo ſit rectus, qualis eſt in figura
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              angulus A C B,
                <expan abbr="dicitq́">dicitque</expan>
              ; cauſam eſſe, quia
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              in figura tres lineæ ſunt æquales, duæ ni­
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              mirum, in quas baſis B A, diuiditur, quæ
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              ſunt B D, D A, & tertia, quæ ex medio
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              baſis erigitur,
                <expan abbr="eſtq́">eſtque</expan>
              ; D C, cum omnes ſint
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              ſemidiametri eiuſdem circuli. </s>
              <s id="s.002460">educta
                <expan abbr="itaq;">itaque</expan>
              linea D C, de potentia in actum,
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              ſi cuipiam trium harum linearum æqualitas innoteſcat, continuò ei etiam
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              manifeſtum erit angulum A C B, in ſemicirculo, eſſe rectum. </s>
              <s id="s.002461">quia ſtatim ap­
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              parent duo iſoſcelia B D C, A D C, quorum anguli ad baſes B C, A C, ſunt
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              æquales inuicem; & anguli duo ad D, ſunt dupli duorum
                <expan abbr="angulorũ">angulorum</expan>
              A C D,
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              D C B, ex quibus conflatur totus angulus A C B, ergo duo anguli ad D, ſunt
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              dupli anguli B C A, ſed duo anguli ad D, ſunt æquales duobus rectis, ergo
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              duo recti ſunt dupli anguli A C B, ergo angulus B C A, eſt dimidium duo­
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              rum rectorum. </s>
              <s id="s.002462">cum autem omnes recti ſint æquales, conſectarium eſt dimi­
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              dium duorum rectorum eſſe angulum rectum. </s>
              <s id="s.002463">patet igitur, qua ratione ex
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              ductu linearum prædictarum actu, manifeſtum fiat angulum in ſemicirculo
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              A C B, eſſe rectum. </s>
              <s id="s.002464">ne mireris ſi vulgatam tranſlationem antiquam non
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              ſum ſequutus, indigebat enim correctione, quam iuxta græcum exem­
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              plar adhibui.</s>
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              223</s>
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            <p type="main">
              <s id="s.002467">Tex. 22. (
                <emph type="italics"/>
              Vt puta ſi triangulum non putet mutari, non opinabitur modo duos
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              rectos habere, modo non, mutaretur enim
                <emph.end type="italics"/>
              ) quia nimirum huius habemus ſcien­
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              tiam per demonſtrationem 32. primi Elementorum. </s>
              <s id="s.002468">quomodo autem tri­
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              angulus habeat duos rectos, ideſt tres angulos æquales duobus rectis angu­
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              lis, explicatum eſt primo Priorum, ſecto 3. cap. 1.</s>
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              224</s>
            </p>
            <p type="main">
              <s id="s.002471">Ibidem (
                <emph type="italics"/>
              Verum aliquid quidem, aliquid verò non, vt puta parem numerum
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              primum nullum eſſe; aut quoſdam quidem, quoſdam verò non
                <emph.end type="italics"/>
              ) definitione 11.
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              7. Elem. ſic numerus ille, qui à Mathematicis dicitur primus, definitur, pri­
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              mus numerus eſt, quem vnitas ſola metitur, vnde patet inter numeros pa­
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              res ſolum binarium eſſe primum, cum ipſum ſola vnitas bis replicata men­
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              ſuraret. </s>
              <s id="s.002472">quaternarium autem, ſenarium, &c. </s>
              <s id="s.002473">pares, non eſſe primos, cum
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              eos non ſola vnitas, ſed alius numerus metiatur: quaternarium enim bina­
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              rius bis replicatus menſurat: ſenarium menſurat & binarius, & ternarius:
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              quare verum erit exiſtimare inter pares numeros aliquos eſſe primos, ideſt
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              binarium, aliquos verò non, ideſt cæteros pares vltra binarium.</s>
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            <p type="head">
              <s id="s.002474">
                <emph type="italics"/>
              Ex Decimo Metaphyſicæ.
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              225</s>
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            <p type="main">
              <s id="s.002477">Tex. 4. (
                <emph type="italics"/>
              Ac etiam motum ſimplici, & velociſſimo motu menſurant, mi­
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              nimum enim tempus hic habet. </s>
              <s id="s.002478">quapropter in Aſtrologia tale vnŭm prin­
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              cipium, & menſura eſt. </s>
              <s id="s.002479">motum enim æqualem, & velociſſimŭm cœli ſup­
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              ponunt, ad quem cæteros iudicant
                <emph.end type="italics"/>
              ) intelligit motum diurnum, quam
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              primo cœlo, ſeu mobili aſcribunt, hic enim velociſſimus eſt omnium reli­</s>
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