Biancani, Giuseppe, Aristotelis loca mathematica, 1615

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            <p type="main">
              <s id="s.001144">
                <pb pagenum="62" xlink:href="009/01/062.jpg"/>
              D F E, F B A, ita vt quælibet figura tot angulos externos ſortiatur, quot
                <lb/>
              habet latera; cum exproductis lateribus oriantur. </s>
              <s id="s.001145">Vt autem propoſitio ve­
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              rificetur, ſingula latera ordinatim ſunt producenda, hoc eſt, verſus eandem
                <lb/>
              partem, vt in figuris appoſitis vides. </s>
              <s id="s.001146">Quæuis igitur figura rectilinea, ſiue
                <lb/>
              trilatera ſit, ſiue quadrilatera, vel etiam millelatera, & proinde mille quo­
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              que angulos externos habeat, hanc tamen mirabilem proprietatem (quod
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              vix credi poteſt) poſſidet, vt omnes illi anguli externi ſimul ſint æquales
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              quatuor rectis angulis. </s>
              <s id="s.001147">vnde tres externi anguli trianguli, & quatuor exter­
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              ni quadranguli, & quinque externi
                <expan abbr="pẽtagoni">pentagoni</expan>
              , &c. </s>
              <s id="s.001148">ſunt æquales quatuor tan­
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              tum rectis, nec aliter res ſe habet in figura millelatera. </s>
              <s id="s.001149">Ex quo fit, vt an­
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              guli externi cuiuſuis figuræ ſint æquales angulis omnibus externis alterius
                <lb/>
              cuiuſlibet figuræ. </s>
              <s id="s.001150">Ariſt. igitur inquit, quando cognoſcimus, quod quatuor
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              angulis rectis ſunt æquales exteriores omnes anguli alicuius figuræ, quo­
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              niam figura illa eſt triangulum ſcalenum, adhuc talis cognitio eſt defecti­
                <lb/>
              ua, quia non illi competit illa paſſio, quia ſit triangulum ſcalenum, neque
                <lb/>
              competit ſcaleno, quia ſit triangulum; ſed his omnibus competit, quia ſunt
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              figuræ rectilineæ, cui hæc proprietas ineſt primo, & vniuerſaliter: qui igi­
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              tur ſcit, ſcalenum habere prædictam affectionem, ex eo, quod ſit figura re­
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              ctilinea, perfectius ſcit, quia nihil amplius quæri poteſt, quia illa figura re­
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              ctilinea illud vniuerſale eſt, cui primo competit; reliquis autem per illam.
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              </s>
              <s id="s.001151">qui igitur vniuerſale ſcit, perfectius ſcit; quod volebat Ariſt. demonſtrare.</s>
            </p>
            <p type="main">
              <s id="s.001152">
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              </s>
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            <p type="margin">
              <s id="s.001153">
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              57</s>
            </p>
            <p type="main">
              <s id="s.001154">Eodem tex.
                <emph type="italics"/>
              (Vt ſi quis nouit, quod omnis triangulus habet tres duobus rectis
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              æquales)
                <emph.end type="italics"/>
              nihil frequentius. </s>
              <s id="s.001155">vide ſupra lib. 1. Priorum ſecto 3. cap. 1.</s>
            </p>
            <p type="main">
              <s id="s.001156">
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              </s>
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            <p type="margin">
              <s id="s.001157">
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              58</s>
            </p>
            <p type="main">
              <s id="s.001158">Tex. 43.
                <emph type="italics"/>
              (Sed planum, quod etſi eſſet ſentire triangulum, quod duobus rectis
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              æquales habet angulos)
                <emph.end type="italics"/>
              vide ſupra lib. 1. Priorum ſecto 3. cap. 1.</s>
            </p>
            <p type="main">
              <s id="s.001159">
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              </s>
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            <p type="margin">
              <s id="s.001160">
                <margin.target id="marg59"/>
              59</s>
            </p>
            <p type="main">
              <s id="s.001161">Poſt pauca
                <emph type="italics"/>
              (Quare & ſi ſupra Lunam eſſemus, & videremus obiectam terram,
                <lb/>
              non
                <expan abbr="vtiq;">vtique</expan>
              ſciremus cauſam eclypſis)
                <emph.end type="italics"/>
              loquitur de defectu Lunæ, qui fit, quando
                <lb/>
              terra inter Lunam, & Solem poſita, impedit, ne lumen Solis feratur in Lu­
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              nam, ſed efficit, vt vmbra ipſius terræ eam contegat.</s>
            </p>
            <p type="main">
              <s id="s.001162">
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              </s>
            </p>
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              <s id="s.001163">
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              60</s>
            </p>
            <figure id="id.009.01.062.1.jpg" place="text" xlink:href="009/01/062/1.jpg" number="30"/>
            <p type="main">
              <s id="s.001164">Et paulo poſt
                <emph type="italics"/>
              (Quemadmodŭm ſi vi­
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              trum perforatum videremus, & lumen
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              permeans, planum vtique eſſet propter
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              quid comburit)
                <emph.end type="italics"/>
              Ioquitur de ea com­
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              buſtione, cuæ fit per refractionem
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              media ſphæra vitrea. </s>
              <s id="s.001165">de qua Vitel­
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              lio propoſ. </s>
              <s id="s.001166">48. decimi libri; non au­
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              tem de ea, quæ fit per reflexionem
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              ex ſpeculo concauo quando combu­
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              ſtio fit per refractionem, cauſatur à
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              radijs Solis vitrum permeantibus,
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              in quo ita franguntur, vt egredien­
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              tes è vitro ſimul vniantur, ex qua
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              vnione ita calor intenditur, vt ibi
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              comburat. </s>
              <s id="s.001167">vt in appoſita figura cer­
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              nere facile eſt; in qua radij à Sole
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              manentes, ſphæram vitream </s>
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