Biancani, Giuseppe, Aristotelis loca mathematica, 1615

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.002133">
                <pb pagenum="123" xlink:href="009/01/123.jpg"/>
                <figure id="id.009.01.123.1.jpg" place="text" xlink:href="009/01/123/1.jpg" number="64"/>
                <lb/>
                <emph type="italics"/>
              Quare minor erit ſuperior ſectio ſemicir­
                <lb/>
              culo, in qua S T, (nam Q S T, ſemicir­
                <lb/>
              culus est, nunc autem interſectus eſt ab
                <lb/>
              horizonte A C;
                <expan abbr="itaq;">itaque</expan>
              Q S, diſparens erit)
                <lb/>
              eleuato ipſo Sole)
                <emph.end type="italics"/>
              demonſtrat propoſi­
                <lb/>
              tionem ſecundam nimirum Sole ſupra
                <lb/>
              horizontem eleuato, ambitum Iridis
                <lb/>
              eſſe minorem circuli portionem, ſiue
                <lb/>
              ſemicirculo minorem. </s>
              <s id="s.002134">ſit igitur in fi­
                <lb/>
              gura ſuperiori, quam textui
                <expan abbr="cõgruen-tem">congruen­
                  <lb/>
                tem</expan>
              reſtituimus, linea A C, horizon­
                <lb/>
              talis, ſupra quam Sol ſit eleuatus in
                <lb/>
              circulo altitudinis in loco G, axis au­
                <lb/>
              rem coni, quem reflexè faciunt ſit
                <lb/>
              G K
                <foreign lang="grc">ω</foreign>
              P. alia igitur omnia, quæ ſupra exiſtente in ortu aſtro oſtenſa ſunt, hic
                <lb/>
              pariter oſtendi poſſunt, ſcilicet Iridem fieri tantum per lineas proportiona­
                <lb/>
              les, & æquales lineis G M, M K, quia Iris videri nequit, niſi in tali, ac deter­
                <lb/>
              minata reflexione, & angulo, vt initio ſuppoſui; & quia lineæ illis propor­
                <lb/>
              tionales non poſſunt alibi conſtitui, quam in ambitu circulari, & in diuerſis
                <lb/>
              planis, ſequitur, vt ſupra Iridem eſſe circularem M N L;
                <expan abbr="eiusq́">eiusque</expan>
              ; polum P, &
                <lb/>
              centrum
                <foreign lang="grc">ω,</foreign>
              inueniemus ſimiliter in axe G K
                <foreign lang="grc">ω</foreign>
              P, & quia axis hic ſecat hori­
                <lb/>
              zontem in K, in hac vltima figura propter eleuationem Solis ſupra A C, in
                <lb/>
              G, ſequitur partem axis, in qua
                <foreign lang="grc">ω,</foreign>
              & P, exiſtunt, infra horizontem deprimi.
                <lb/>
              </s>
              <s id="s.002135">& quia (vt pater ex 64. 10. Vitell.) & P, polus, & centrum
                <foreign lang="grc">ω,</foreign>
              Iridis, & cen­
                <lb/>
              trum K, circuli horizontis, cuius ſcilicet diameter eſſet A K S, & Sol, ſunt
                <lb/>
              in eadem linea G K
                <foreign lang="grc">ω</foreign>
              P, ſi centrum Iridis
                <foreign lang="grc">ω,</foreign>
              ſit infra horizontem, patet mi­
                <lb/>
              norem circuli portionem, quam ſit ſemicirculus ſupra horizontem eminere,
                <lb/>
              in qua poſui literas S L T, nam Q S L T R, eſt ſemicirculus, cuius pars con­
                <lb/>
              tenta inter duos arcus Q S, & T R, eſt infra horizontem. </s>
              <s id="s.002136">debemus autem
                <lb/>
              hunc ſemicirculum, & hanc portionem ipſius S L T, extantem ſupra hori­
                <lb/>
              zontem imaginari erectam eſſe, vt planum ipſius circuli faciat angulos re­
                <lb/>
              ctos ſiue ſit perpendiculare cum axe G K P; &
                <expan abbr="circulũ">circulum</expan>
              altitudinis A G M N,
                <lb/>
              modo fungi vice horizontis. </s>
              <s id="s.002137">ſic enim ſola portio S L T, appareret nobis,
                <expan abbr="eſ-ſetq́">eſ­
                  <lb/>
                ſetque</expan>
              ; rationabiliter conſtituta. </s>
              <s id="s.002138">Ex quibus 2. Ariſt. propoſitio manifeſta eſt.</s>
            </p>
            <p type="main">
              <s id="s.002139">
                <arrow.to.target n="marg171"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.002140">
                <margin.target id="marg171"/>
              180</s>
            </p>
            <p type="main">
              <s id="s.002141">Ibidem
                <emph type="italics"/>
              (Minima autem cum in meridie, quanto enim ſuperius G, tanto infe­
                <lb/>
              rius & polus, & centrum circuli erit)
                <emph.end type="italics"/>
              probat tertiam propoſitionem, nimi­
                <lb/>
              rum Sole exiſtente in meridie minimam
                <expan abbr="omniũ">omnium</expan>
              eſſe Iridis arcus portionem:
                <lb/>
              ratio autem eſt, quia tunc G, ſiue Sol, eſt altiſſimus ſupra horizontem, &
                <lb/>
              conſequenter
                <foreign lang="grc">ω;</foreign>
              centrum Iridis eſt depreſsiſſimum, quare tunc maxima cir­
                <lb/>
              culi Iridis portio abſcondetur, & proinde minima apparebit, quod erat vl­
                <lb/>
              timo
                <expan abbr="demõſtrandum">demonſtrandum</expan>
              . </s>
              <s id="s.002142">Non me latet has Ariſt. figurationes eſſe apud Olym­
                <lb/>
              piodorum nonnullis obiectionibus obnoxias, ſed cum facilè dilui poſſint, &
                <lb/>
              etiam ſi non diluantur, ſaluetur tamen veritas Ariſtotelicæ demonſtratio­
                <lb/>
              nis, breuitati ſtudens, conſultò eas prætermitto.</s>
            </p>
            <p type="main">
              <s id="s.002143">Aduertendum præterea Vicomercatum inordinatè citare librum Dato­
                <lb/>
              rum Euclidis, &
                <expan abbr="quandoq;">quandoque</expan>
              etiam malè citare Euclidem ipſum. </s>
              <s id="s.002144">peius verò </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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