Biancani, Giuseppe, Aristotelis loca mathematica, 1615

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        <body>
          <chap>
            <p type="main">
              <s id="s.002835">
                <pb pagenum="167" xlink:href="009/01/167.jpg"/>
              nus duplo, ſiue maius duplo, ſpatium, quod nauigium interim decurrit ad
                <lb/>
              anteriora, & quod palmula remi in contrarium ſimul iuncta, ei quod ipſum
                <lb/>
              remi manubrium motu proprio conficit, æqualia erunt. </s>
              <s id="s.002836">ſemper enim B D,
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              æqualis eſt H Z: tota verò C Z, quæ æqualis eſt A E, ex ſuis partibus C H,
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              & H Z, conſtabit.</s>
            </p>
            <p type="head">
              <s id="s.002837">
                <emph type="italics"/>
              Propoſitionis conuerſio.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="head">
              <s id="s.002838">Si nauigium longius progrediatur, quàm remi palmula re­
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              trocedat, ſpatium conficiet pluſquam dimidium eius,
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              quod motu proprio remi manubrium decurrit:
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              ſi minus, citra dimidium.</s>
            </p>
            <p type="head">
              <s id="s.002839">
                <emph type="italics"/>
              Huius demonſtratio ex ſupradictis facilè colligi poterit.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="head">
              <s id="s.002840">
                <emph type="italics"/>
              PROPOSITIO QVINTA.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="head">
              <s id="s.002841">Si celerius feratur nauigium, quàm remi manubrium, mo­
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              uebitur palmula in vlteriora,
                <expan abbr="nilq́">nilque</expan>
              ; vnquam retroce­
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              det,
                <expan abbr="idq́">idque</expan>
              ; ſpatium decurret, quo nauigij motus
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              motum manubrij ſuperat.</s>
            </p>
            <p type="main">
              <s id="s.002842">Habeat enim remus incipiente motu poſitionem A C: deſinente
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                <figure id="id.009.01.167.1.jpg" place="text" xlink:href="009/01/167/1.jpg" number="95"/>
                <lb/>
              verò
                <expan abbr="ſitũ">ſitum</expan>
              rectitudinis F G. ſcal­
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              mus igitur B, propter nauigij
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              motum tranſlatus, erit in D, ſit
                <lb/>
                <expan abbr="itaq;">itaque</expan>
              ſpatium B D, maius quàm A H, à re­
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              mi manubrio motu proprio decurſum: ſic
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              enim celerius dicetur ferri
                <expan abbr="nauigiũ">nauigium</expan>
              , quàm
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              manubrium. </s>
              <s id="s.002843">Dico, quòd palmula C, in
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              vlteriora mouebitur. </s>
              <s id="s.002844">Nam cum ſcalmus
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              B, prouectus fuerit in D: tranſlata erit ip­
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              ſa palmula C, vbi G, in rectitudinis ſitu,
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                <expan abbr="ſpatiumq́">ſpatiumque</expan>
              ; conficiet C G, curuilineum, cui
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              reſpondet C K: mouebitur igitur palmula
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              in vlteriora. </s>
              <s id="s.002845">Nihil autem vnquam retro­
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              cedere, oſtendetur in hunc modum. </s>
              <s id="s.002846">eadem
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              enim celeritate mouentur A, in H, & C,
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              verſus I, circa ſcalmum. </s>
              <s id="s.002847">Atqui per hypo­
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              theſim celerius fertur nauigium, quam A.
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              in H, celerius igitur ipſum nauigium fer­
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              tur, quàm C, verſus I. ſed mouetur idem </s>
            </p>
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