Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb pagenum="532" xlink:href="010/01/540.jpg"/>
            <p type="main">
              <s id="s.002851">
                <arrow.to.target n="marg753"/>
                <lb/>
              aut opus teſſellatum, vel muſiuum, itaque ſex priſ­
                <lb/>
              mata rectangula triangularia, & æquilatera ad vnum
                <lb/>
              punctum plani ſubiecti ad aptata ſpatium omninò
                <expan abbr="cõ-plent">con­
                  <lb/>
                plent</expan>
              ; ſic quoque quatuor priſmata quadrata, & non
                <lb/>
              minùs tria priſmata hexagonalia, & nulla alia præ­
                <lb/>
              ter hæc, niſi baſes irregulares fuerint. </s>
            </p>
            <p type="margin">
              <s id="s.002852">
                <margin.target id="marg753"/>
              Cap. 12. dę
                <lb/>
              vacui neceſ­
                <lb/>
              ſitate.</s>
            </p>
            <p type="main">
              <s id="s.002853">Si verò conſiderentur corpora, quæ regularia ap­
                <lb/>
              pellantur; patet, quod octo cubi ſuis angulis ad
                <expan abbr="vnũ">vnum</expan>
                <lb/>
              punctum conuenientibus ſpatium complent, & nullæ
                <lb/>
              aliæ figuræ, quę regulares ſint, & eiuſdem generis id­
                <lb/>
              ipſum efficere poſſunt, hoc
                <expan abbr="autẽ">autem</expan>
              ingenioſiſſimè Mau­
                <lb/>
              rolicus demonſtrauit, in ſuo Opuſculo nondùm edito
                <lb/>
              de figuris ſpatium implentibus, qui præterea hallu­
                <lb/>
              cinationem Ariſtotelis, & Auerrois patefecit, noņ
                <lb/>
              enim duodecim anguli pyramidum ſpatium implere
                <lb/>
              poſſunt, ſed oportet vt octo anguli pyramidum ſex
                <lb/>
              angulis octahedrorum aptè vniantur ad vnum pun­
                <lb/>
              ctum, vt ſpatium omninò expleant, & nullæ aliæ figu­
                <lb/>
              ræ præter iam dictas. </s>
            </p>
            <p type="main">
              <s id="s.002854">His præmiſſis conſiderari debent motus
                <expan abbr="earumdẽ">earumdem</expan>
                <lb/>
              figurarum, & ſymptomata, quæ in earum agitatione
                <lb/>
              contingunt. </s>
            </p>
            <p type="main">
              <s id="s.002855">
                <emph type="center"/>
              PROP. CCLXIII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002856">
                <emph type="center"/>
                <emph type="italics"/>
              Enumerantur figuræ ſolidæ, quæ intra alias agitatæ ſpatium
                <lb/>
              implere, aut non implere poſſunt.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002857">ET primò facilè conſtat, quod priſmata, & Cylin­
                <lb/>
              dri moueri poſſunt motu directo axi
                <expan abbr="ęquidiſtã-ti">ęquidiſtan­
                  <lb/>
                ti</expan>
              intra cauitatem alterius corporis abſque pertur­
                <lb/>
              batione figuræ ambientis corporis, vt gladius intra </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>