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

Table of figures

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              <s id="s.002819">
                <pb pagenum="528" xlink:href="010/01/536.jpg"/>
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              portione, quam partes rotæ ſolidę agitantur, vt
                <expan abbr="dictũ">dictum</expan>
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              eſt; vt
                <expan abbr="autẽ">autem</expan>
                <expan abbr="verũ">verum</expan>
              ſit nullam
                <expan abbr="particulã">particulam</expan>
              corporis mollis
                <lb/>
              carere hac paſſione mollitiei, neceſsè eſt, vt ſemper
                <lb/>
              ei conueniat mollitiei definitio, ſcilicèt ſemper quę­
                <lb/>
              libet eius partes moueri queant, illo inæquali, & di­
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              uerſo motu à cæteris contiguis; cumque contiguæ e­
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              iuſdem concreti partes non poſſint diuerſis, & omni­
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              bus inæqualibus motionibus agitari, niſi ſint diſſectę,
                <lb/>
              & inter ſe diuiſæ actu; ergo nulla particula mollis
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              corporis aſſignari poteſt, quæ non ſit ſubdiuiſa actu
                <lb/>
              in plures alias particulas, quare numquam perueniri
                <lb/>
              poterit ad finem enumerationis multitudinis parti­
                <lb/>
              cularum actu diuiſarum in prædicto
                <expan abbr="cõpoſito">compoſito</expan>
              molli,
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              & ideò talis multitudo maior erit
                <expan abbr="quocũque">quocunque</expan>
              numero,
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              ſcilicèt maior erit quacumque finita quantitate: igi­
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              tur infinita erit. </s>
              <s id="s.002820">At infinitæ partes ſi eſſent quantæ
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              actu diuiſæ
                <expan abbr="cõponerent">componerent</expan>
              extenſionem infinitam; ergo
                <lb/>
              quodlibet exiguum corpus eſſet infinitum, quod ſen­
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              ſus euidentiæ repugnat, ſequitur ergo, quod prædictę
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              particulæ infinitæ non quantæ, & proinde puncta
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              indiuiſibilia ſint, hoc verò eſt impoſſibile, vt priùs
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              oſtenſum eſt; igitur partes molle corpus primum
                <expan abbr="cõ-ponentes">con­
                  <lb/>
                ponentes</expan>
              non ſunt molles, ſed aut flexibiles, aut om­
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              ninò duræ, & rigidæ erunt. </s>
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            <p type="margin">
              <s id="s.002821">
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              De vi per­
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              cuſs. </s>
              <s id="s.002822">cap. 26.</s>
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            <p type="margin">
              <s id="s.002823">
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              Cap. 12. dę
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              vacui neceſ­
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              ſitate.</s>
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            <p type="margin">
              <s id="s.002824">
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              Pro. 137.</s>
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            <p type="margin">
              <s id="s.002825">
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              Prop. 135. &
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              136.</s>
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            <p type="margin">
              <s id="s.002826">
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              Prop. </s>
              <s id="s.002827">134.</s>
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              PROP. CCLXI.
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            <p type="main">
              <s id="s.002829">
                <emph type="center"/>
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              Eodem progreſſu oſtendemus, quod minimæ partes flexibile
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              corpus primum componentes omninò inflexibiles,
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              rigidæ, & duræ eſſe debent.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
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            <p type="main">
              <s id="s.002830">NAm ſi hoc verum non eſt, ſint prædictæ primæ </s>
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