Fabri, Honoré, Tractatus physicus de motu locali, 1646

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    <archimedes>
      <text>
        <body>
          <chap id="N1C940">
            <pb pagenum="234" xlink:href="026/01/266.jpg"/>
            <p id="N1ED80" type="main">
              <s id="N1ED82">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium
                <emph.end type="italics"/>
              6.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1ED8F" type="main">
              <s id="N1ED91">Sextò, cum globus rotatur in plano inclinato mouetur motu mixto,
                <lb/>
              ſcilicet ex motu orbis & centri,
                <expan abbr="moueturq́ue">moueturque</expan>
              velociùs quàm cubus eiuſ­
                <lb/>
              dem ponderis; </s>
              <s id="N1ED9D">quia pauciores partes plani fricantur à globo; </s>
              <s id="N1EDA1">ſed hæc ra­
                <lb/>
              tio non valet, niſi ſupponatur planum non eſſe perfectè læuigatum; </s>
              <s id="N1EDA7">igi­
                <lb/>
              tur eſt alia ratio: an quia cubus mouetur motu centri? </s>
              <s id="N1EDAD">globus verò motu
                <lb/>
              centri & orbis; </s>
              <s id="N1EDB3">ſed motus orbis iuuat motum centri; </s>
              <s id="N1EDB7">ſed hæc ratio nulla
                <lb/>
              eſt, quia
                <expan abbr="tantũdem">tantundem</expan>
              pars ſuperior globi addit motui centri quantùm
                <lb/>
              inferior detrahit; </s>
              <s id="N1EDC3">igitur alia ratio eſt, ſcilicet non tantùm globum deſ­
                <lb/>
              cendere in plano inclinato per grauitatem abſolutam, ſed etiam per reſ­
                <lb/>
              pectiuam,
                <expan abbr="eſtq́ue">eſtque</expan>
              veluti potentia Mechanica admota, ſcilicet vectis, cu­
                <lb/>
              jus quaſi vicem gerit ſemidiameter circuli: </s>
              <s id="N1EDD1">porrò vectis centrum eſt
                <lb/>
              punctum contactus; </s>
              <s id="N1EDD7">dixi ſemidiametrum, non verò diametrum; </s>
              <s id="N1EDDB">quia to­
                <lb/>
              tum pondus globi non eſt appenſum extremæ diametro, ſed extremæ ſe­
                <lb/>
              midiametro in hoc caſu; illa autem extremitas eſt centrum grauitatis
                <lb/>
              globi. </s>
            </p>
            <p id="N1EDE5" type="main">
              <s id="N1EDE7">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium
                <emph.end type="italics"/>
              7.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1EDF3" type="main">
              <s id="N1EDF5">Septimò, hinc etiam apparet analogia impetus imperfectioris, qui pro­
                <lb/>
              ducitur verſus centrum vectis, & illius, qui producitur in mobili per
                <lb/>
              planum inclinatum; </s>
              <s id="N1EDFD">nam ideo eſt imperfectior, qui producitur verſus
                <lb/>
              centrum vectis, quia temporibus æqualibus partes mobiles vectis, quæ
                <lb/>
              ſunt verſus centrum acquirunt ſpatia inæqualia ſcilicet, minora, & mi­
                <lb/>
              nora in infinitum; </s>
              <s id="N1EE07">ita prorſus in planis inclinatis cum acquirantur tem­
                <lb/>
              poribus æqualibus ſpatia inæqualia; </s>
              <s id="N1EE0D">minora certè in longioribus, ſup­
                <lb/>
              poſita dumtaxat eadem perpendiculi altitudine debet produci impetus
                <lb/>
              imperfectior; nam ex imperfectione effectus id eſt motus, benè colligitur
                <lb/>
              imperfectio cauſæ id eſt impetus. </s>
            </p>
            <p id="N1EE17" type="main">
              <s id="N1EE19">
                <emph type="center"/>
                <emph type="italics"/>
              Collorarium
                <emph.end type="italics"/>
              8.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1EE25" type="main">
              <s id="N1EE27">Octauò denique, mirabile eſt, quî fieri poſſit, vt eadem potentia quæ
                <lb/>
              totas ſuas vires exerens globum proiicit per lineam verticalem ad al­
                <lb/>
              titudinem vnius pollicis, id eſt quæ proiicere tantùm poteſt per ſpatium
                <lb/>
              digitale, per omnes tamen inclinatas, quæ ad extremitatem huius per­
                <lb/>
              pendiculi duci poſſunt, cuiuſcunque ſint longitudinis, non auctis viri­
                <lb/>
              bus proiiciat; quis hoc crederet? </s>
              <s id="N1EE35">niſi manifeſta cogeret demonſtratio,
                <lb/>
              quam habes in Th.20.27. &c. </s>
            </p>
          </chap>
          <chap id="N1EE3A"> </chap>
        </body>
      </text>
    </archimedes>
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