Fabri, Honoré, Tractatus physicus de motu locali, 1646

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          <chap id="N2136B">
            <pb pagenum="286" xlink:href="026/01/320.jpg"/>
            <p id="N220C7" type="main">
              <s id="N220C9">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              39.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N220D5" type="main">
              <s id="N220D7">
                <emph type="italics"/>
              Hæc inæqualis distributio impetus eſt veriſſima cauſa girationis illius, quam
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              videmus in cylindro projecto per vibrationem ſiue brachium ſurſum ſiue deor­
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              ſum vibretur
                <emph.end type="italics"/>
              ; </s>
              <s id="N220E4">quod ab omnibus facilè obſeruari poteſt ſit enim cylin­
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              drus ED libratus per arcum AD, ſtatimque demittatur; </s>
              <s id="N220EA">vbi attigit
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              punctum D, eſt quidem determinatus ad Tangentem DP, & punctum I
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              ad Tangentem IR; </s>
              <s id="N220F2">quia tamen eſt minor impetus in I, quàm in D, &
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              minor adhuc in E; </s>
              <s id="N220F8">certè D debet moueri velociùs quàm I, & I quam E; </s>
              <s id="N220FC">
                <lb/>
              igitur motu recto moueri non poteſt prædictus cylindrus ED; </s>
              <s id="N22101">moueri
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              motu recto, id eſt in ſitu parallelo ED; </s>
              <s id="N22107">igitur extremitas D gyros aget,
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              quia retinetur ab aliis punctis, quorum tardior eſt motus; </s>
              <s id="N2210D">ſed hîc erit
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              motus mixtus, de quo in lib.9.agemus, & totam rem iſtam fusè explica­
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              bimus; </s>
              <s id="N22115">hîc tantùm ſufficiat dixiſſe cauſam legitimam illius circuitionis
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              eſſe tantùm inæqualem illam diſtributionem impetus in cylindro ED;
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              aſſignauimus autem ibidem lineam, quam ſuo motu deſcribit extremitas
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              D, & centrum, circa quod ſuos gyros agit. </s>
            </p>
            <p id="N2211F" type="main">
              <s id="N22121">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              40.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N2212D" type="main">
              <s id="N2212F">
                <emph type="italics"/>
              Diu durat motus impreſſus rotæ in circulo verticali, ſi vel modicus ſit par­
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              tium affrictus
                <emph.end type="italics"/>
              ; </s>
              <s id="N2213A">Probatur, quia cùm non deſtruatur impetus aliunde, quàm
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              ab affrictu, dicendum eſt minimum etiam ſingulis inſtantibus deſtrui
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              impetum; </s>
              <s id="N22142">igitur diu durat impetus; </s>
              <s id="N22146">igitur diu durat motus: nec eſt alia
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              ratio vulgaris illius experimenti, quo videmus perforatam acum circa
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              cylindrum leuigatiſſimum diu rotari. </s>
            </p>
            <p id="N2214E" type="main">
              <s id="N22150">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              41.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N2215C" type="main">
              <s id="N2215E">
                <emph type="italics"/>
              Cum rota voluitur in circulo horizontali, non poteſt moueri applicata mini­
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              ma potentia
                <emph.end type="italics"/>
              ; </s>
              <s id="N22169">Probatur, quia nullo modo rotatur ad intra, id eſt non pro­
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              ducit in ſe impetum, vt patet; </s>
              <s id="N2216F">igitur debet produci impetus in illa à po­
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              tentia applicata; igitur tot partes impetus, quot ſunt ſaltem in tota rota,
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              cum ſingulæ partes moueantur. </s>
            </p>
            <p id="N22177" type="main">
              <s id="N22179">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              42.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N22185" type="main">
              <s id="N22187">
                <emph type="italics"/>
              Hinc difficiliùs mouetur in circulo horizontali quàm in verticali
                <emph.end type="italics"/>
              ; patet,
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              quia in hoc à minima potentia applicata poteſt moueri per Th.21. ſecus
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              verò in illo per Th.41. igitur in horizontali difficiliùs moueri poteſt,
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              quàm in verticali. </s>
              <s id="N22196">Obſeruabis autem tribus modis volui poſſe huiuſmodi
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              rotam. </s>
              <s id="N2219B">Primò ſi in plano horizontali leuigatiſſimo voluatur. </s>
              <s id="N2219E">Secundò, ſi
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              circa cylindrum immobilem, qui aperto foramini inſeritur. </s>
              <s id="N221A3">Tertiò, ſi
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              vno concauo vnius axis ducatur per centrum rotæ, inſeratur vnus ſoli­
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              dus, quo fulcitus orbis conſiſtat in æquilibrio, difficiliùs voluitur primo
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              modo rota propter affrictum plurimarum partium; ſecundo faciliùs, ſed
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              longè faciliùs tertio ſic autem voluitur acus magnetica. </s>
            </p>
            <p id="N221AF" type="main">
              <s id="N221B1">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              43.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N221BD" type="main">
              <s id="N221BF">
                <emph type="italics"/>
              Potentia applicata talis eſſe debet, vt poſſit imprimere impetum toti rota
                <emph.end type="italics"/>
              ; </s>
              <s id="N221C8"/>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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