Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

Table of figures

< >
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.002830">
                <pb pagenum="529" xlink:href="010/01/537.jpg"/>
                <arrow.to.target n="marg745"/>
                <lb/>
              particulæ componentes corpus flexibile non duræ,
                <lb/>
              ſed flexibiles; ergo
                <expan abbr="diuidẽdo">diuidendo</expan>
              prædictum corpus fle­
                <lb/>
              xibile numquam deueniemus ad particulam eius,
                <lb/>
                <arrow.to.target n="marg746"/>
                <lb/>
              quæ rigida ſit, ſed ſemper flecti poterit; & quia cau­
                <lb/>
              ſa, quare prædictum corpus flectitur, eſt quia aliquę
                <lb/>
              eius partes mouentur reliquis quieſcentibus, vel di­
                <lb/>
              uerſo, & inæquali motu, continuo corpori non com­
                <lb/>
              petenti, ab eo quo reliquæ contiguæ partes agitan­
                <lb/>
              tur; nec concipi poſſit nullam particulam flexibilis
                <lb/>
              corporis carere hac paſſione flexibilitatis, niſi ſem­
                <lb/>
              per ei flexibilitatis definitio competat, ſcilicèt niſi
                <lb/>
              ſemper quælibet eius particulæ moueri queant inæ­
                <lb/>
              quali motu diuerſo (& non proprio corporis conti­
                <lb/>
              nui, & vniti) à cæteris contiguis; & partes contiguæ
                <lb/>
                <arrow.to.target n="marg747"/>
                <lb/>
              eiuſdem concreti non poſſunt prædictis motibus di­
                <lb/>
              uerſis agitari, niſi actu diuiſæ inter ſe ſint, ergo nul­
                <lb/>
              la particula flexibilis corporis aſſignari poteſt, quæ
                <lb/>
              actu non ſit ſubdiuiſa in plures alias particulas; qua­
                <lb/>
              re numquam perueniri poterit ad finem enumerati­
                <lb/>
              onis multitudinis particularum actu diuiſarum, qua­
                <lb/>
              propter talis multitudo maior erit quocumque nu­
                <lb/>
                <arrow.to.target n="marg748"/>
                <lb/>
              mero, ideoque infinita erit. </s>
              <s id="s.002831">Verùm prædictæ partes
                <lb/>
              infinitæ ſi eſſent quantæ, actu inter ſe diuiſæ compo­
                <lb/>
              nerent extenſionem infinitam, ergo corpus aliquod
                <lb/>
              palmare v.g. infinitam extenſionem haberet, quod
                <lb/>
              eſt falſum; non igitur quantæ, ſed puncta indiuiſibi­
                <lb/>
              lia erunt, quod cum ſit impoſſibile, vt dictum eſt, ſe­
                <lb/>
                <arrow.to.target n="marg749"/>
                <lb/>
              quitur, quod partes flexibile corpus componentes
                <lb/>
              non ſint flexibiles, proindeque duræ, & rigidæ eſſe </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum