Biancani, Giuseppe, Aristotelis loca mathematica, 1615

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    <archimedes>
      <text>
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          <chap>
            <p type="main">
              <s id="s.001457">
                <pb pagenum="79" xlink:href="009/01/079.jpg"/>
              trema linearum, ſint æquè decliuia, neceſſe eſt aquæ ſuperficiem apud ipſa
                <lb/>
              conſiſtere, tunc enim debet quieſcere, aliter nunquam quieſceret; ſed vide­
                <lb/>
              mus aquam manentem, & quietam, ergo quieſcit circa puncta B, E, C, à
                <lb/>
              centro terræ æquidiſtantia, per quæ tranſit linea circularis coniungens illa;
                <lb/>
              etſi ſuperficies per eiuſmodi loca pertranſiret, eſſet ſphærica: ſed ſuperfi­
                <lb/>
              cies aquæ tranſit per talia loca, ergo ſphærica eſt. </s>
              <s id="s.001458">Huius etiam habes acu­
                <lb/>
              tiſſimam Archimedis demonſtrationem initio libelli de ijs, quæ vehuntur
                <lb/>
              in aqua, quam in ſuam ſphæram retulit Clauius.</s>
            </p>
            <p type="main">
              <s id="s.001459">
                <arrow.to.target n="marg108"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.001460">
                <margin.target id="marg108"/>
              108</s>
            </p>
            <p type="main">
              <s id="s.001461">Tex. 46.
                <emph type="italics"/>
              (Reliquum eſt orbes quidem moueri, stellas verò quieſcere, & infixas
                <lb/>
              ipſis orbibus ferri; ſolum enim ſic nullum abſurdum accidit. </s>
              <s id="s.001462">celeriorem enim eſſe
                <lb/>
              maioris circuli velocitatem, rationabile eſt circa idem centrum infixis: vt enim in
                <lb/>
              alijs maius corpus velocius fertur propria latione, ſic, & in circularibus: maius
                <lb/>
              enim eſt eorum, quæ auferuntur ab eis, quæ ex centro, maioris circuli ſegmentum)
                <emph.end type="italics"/>
                <lb/>
              ex intellectione vltimæ periodi textus totius intelligentia pendet: ſit igitur
                <lb/>
                <figure id="id.009.01.079.1.jpg" place="text" xlink:href="009/01/079/1.jpg" number="44"/>
                <lb/>
              figura præſens, in qua cum ſint duo circuli concen­
                <lb/>
              trici, vnus altero maior,
                <expan abbr="eductæq́">eductæque</expan>
              ; ſint ex
                <expan abbr="cẽtro">centro</expan>
              duæ
                <lb/>
              ſemidiametri A D, A E, quæ
                <expan abbr="vtrunq;">vtrunque</expan>
              circulum ſe­
                <lb/>
              cant, apparet maius eſſe
                <expan abbr="ſegmentũ">ſegmentum</expan>
              D E, quod è ma­
                <lb/>
              iori circulo ſemidiametri ex
                <expan abbr="cẽtro">centro</expan>
              eductæ auferunt,
                <lb/>
              quam ſegmentum B C, minoris circuli, quod eiſdem
                <lb/>
              ſemidiametris intercipitur. </s>
              <s id="s.001463">Verumtamen ſi circuli
                <lb/>
              ambo ſimul moueantur, maior circulus æquali tem­
                <lb/>
              pore maius illud ſpatium D E, & minor minus B C,
                <lb/>
              pertranſibit: idem igitur de cœleſtibus orbibus di­
                <lb/>
              cendum, qui quamuis omnes diurnum ſimul motum
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              abſoluunt, maiores tamen celerius conuertuntur: quo fit, vt ſtellæ maiori­
                <lb/>
              bus circulis infixæ,
                <expan abbr="atq;">atque</expan>
              delatæ, maiori celeritate ſuos curſus peragant, ne­
                <lb/>
              que oportet eas, dum mouentur cœlum diſſecare, quod accideret, ſi pro­
                <lb/>
              prio motu veluti piſces per aquam progrederentur.</s>
            </p>
            <p type="main">
              <s id="s.001464">Hæc quidem Ariſt. conſentanea obſeruationibus veterum Aſtronomo­
                <lb/>
              rum; at verò illis noſtræ ætatis obſeruationes repugnant; præſertim illæ,
                <lb/>
              quæ fiunt circa ſtellas errantes: ex quibus fatendum eſſe videtur, Cœlum,
                <lb/>
              qua parte Planetas continet, liquidum eſſe, ac per illud Planetas proprio
                <lb/>
              motu, ceu piſces in aqua progredi. </s>
              <s id="s.001465">Tycho
                <expan abbr="namq;">namque</expan>
              Brahe,
                <expan abbr="alijq́">alijque</expan>
              ; plures exactè
                <lb/>
              demonſtrant Cometas in regione Planetarum eſſe,
                <expan abbr="eosq́">eosque</expan>
              ; motu quodam in
                <lb/>
              tranſuerſum moueri, quo neceſſario Cęlú deberent perforare; ijdem oſten­
                <lb/>
              dunt nonnullos Planetas, Martem præſertim, ac Venerem modo ſupra So­
                <lb/>
              lem, modo infra aſcendere, & deſcendere. </s>
              <s id="s.001466">Idem patet ex obſeruatione no­
                <lb/>
              ua per nouum Teleſcopij i
                <expan abbr="ſtrumẽtum">ſtrumentum</expan>
              in Venere facta, quæ lunulata
                <expan abbr="vtrinq;">vtrinque</expan>
                <lb/>
              à Sole apparet: quando nimirum eſt in imo epicyclo. </s>
              <s id="s.001467">
                <expan abbr="iterumq́">iterumque</expan>
              ; rotunda ve­
                <lb/>
              luti Luna plena, cum in ſummo epicyclo verſatur: quæ minimè apparerent,
                <lb/>
              niſi ſupra, ac infra Solem circumiret. </s>
              <s id="s.001468">His rationibus conantur ipſi proba­
                <lb/>
              re Cœlum eſſe liquidum;
                <expan abbr="atq;">atque</expan>
              in eo Planetas, veluti aues in aere, permeare:
                <lb/>
              quarum ſolutio mihi nulla occurrit, alijs fortaſſis occurret.</s>
            </p>
            <p type="main">
              <s id="s.001469">
                <arrow.to.target n="marg109"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.001470">
                <margin.target id="marg109"/>
              109</s>
            </p>
            <p type="main">
              <s id="s.001471">Tex. 57.
                <emph type="italics"/>
              (De ordine autem ipſorum, quo quidem modo ſingula diſponantur, vt
                <lb/>
              quædam ſint priora, quædam posteriora, & quomodo ſpatijs ſe ă
                <expan abbr="habeãt">habeant</expan>
              ad inuicem,
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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