Biancani, Giuseppe, Aristotelis loca mathematica, 1615

Table of figures

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              <s id="s.004131">
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              vmbra erit igitur G F H, ad partes C, Soli auerſas. </s>
              <s id="s.004132">quas nunquam Sol, etiam
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              ſi ſphæra B, arenulæ vnius grano minor fuerit poterit illuſtrare. </s>
              <s id="s.004133">quæ quidem
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              non ſoluunt quæſtionem, ſed eam difficiliorem reddunt. </s>
              <s id="s.004134">Quapropter non
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              videtur Ariſt. voluiſſe hoc diſcutere, ſed ſolum tanquam mirum quodam
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              proponere. </s>
              <s id="s.004135">quod ſi quid mutire liceat, vbi tantus philoſophus admirabun­
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              dus obmuteſcit, dixerim propterea baſim bullæ non adumbrari ab vmbra
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              ipſius bullæ, quia cum bulla ſit ſphærica, & tranſparens, Solis lumen eam
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              peruadit,
                <expan abbr="atq;">atque</expan>
              ex ſuperficie concaua ad illius baſim partim reflectitur,
                <expan abbr="ſicq́">ſicque</expan>
              ;
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              eam illuminat. </s>
              <s id="s.004136">quamuis enim ſit diaphana, non tamen omninò tranſparens
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              eſt, cum aqua ſit aere craſſior: bulla autem eſt ex aqua. </s>
              <s id="s.004137">ſuperficiem autem
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              bullæ concauam id efficere debere, patet ex concaua figura, quæ maximè
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              reflexioni eſt apta.</s>
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              <s id="s.004139">
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              352</s>
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              <s id="s.004140">In 3. problem.
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              (Cur in magnitudinibus, quæ pondere ſunt inæquali, accidit, vt
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              ſi partem moueas læuiorem, circunferatur, quod iacitur; vt in talis fieri opplum­
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              batis videmus)
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              Ariſtotelis tempore tales tali opplumbati erant in vſu, qui
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              exemplo præſenti queſtioni eſſe poſſent: Aptius nunc exemplum deſumi po­
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              teſt ex bacillo aliquo, cuius altera extremitas ſit cæteris partibus multò
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              grauior, qui ſi per aerem manibus eiaculatur, ſolet, dum per aerem fertur,
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              circumuerti.</s>
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            <p type="main">
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            <p type="margin">
              <s id="s.004142">
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              353</s>
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              <s id="s.004143">Ibidem
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              (Sin autem alterum altero fertur cælerius, circulo ferri neceſſe eſt, cùm
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              in hoc ſolo figuræ genere efficiatur, vt puncta eadem ſubalterna, lineas inæquales
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              poſſint eodem tempore permeare)
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              Quando, inquit, duo puncta in eadem magni­
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              tudine poſita mouentur ad motum illius, & tamen non æqualiter progre­
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              diuntur, ſignum eſt, illam magnitudinem moueri circulariter, & proinde
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              vel eſſe circulum, vel ſaltem circuli in modum conuerti; cum in ſolo orbi­
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              culari motu contingat, vt duo puncta inæqualiter a centro remota, poſſint
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              inæquales lineas eodem tempore permeare, punctum enim, quod
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              pro­
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              pinquius eſt, breuiorem deſcribit lineam, quod autem remotius, maiorem.</s>
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            <p type="main">
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              <s id="s.004145">
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              354</s>
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              <s id="s.004146">In 4. problem. </s>
              <s id="s.004147">ſatis eſſe exiſtimo per paraphraſim præſens problema ex­
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              ponere, ex qua tamen, vbi opus fuerit, textus corrigatur. </s>
              <s id="s.004148">Cur ea, quæ in
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              terram cadunt,
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              reſiliunt angulos ad planitiem, faciunt ſimiles vtraque
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              ex parte, qua planum tetigerint? </s>
              <s id="s.004149">v. g. ſi
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              corpus quodpiam cadat ex puncto D, per
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              lineam D C, ſuper planum A B, ex puncto
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              C, vbi cæciderat, reſilit per lineam C E,
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              ita vt faciat duos angulos æquales vtrin­
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              que ad punctum. </s>
              <s id="s.004150">C, angulum ſcilicet in­
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              cidentiæ D C B, & angulum reflexionis
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              E C A? </s>
              <s id="s.004151">An quod omnia iſta, natura qui­
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              dem ſua feruntur per rectam lineam, vi­
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              demus enim grauia omnia deorſum re­
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              ctà tendere; ſi autem aliquod impedi­
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              mentum occurrat, vt fit, quando plano
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              terræ occurrunt, tunc lineam illam, quam infra terram facerent
                <expan abbr="eundemq́">eundemque</expan>
              ;
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              angulum, quem infra
                <expan abbr="planũ">planum</expan>
              facerent, ſupra faciunt, v. g. mobile per lineam
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              D C, cadens, niſi obſtitiſſet planum A B, tetendiſſet per lineam rectam </s>
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