Monantheuil, Henri de, Aristotelis Mechanica, 1599

Page concordance

< >
< >
page |< < of 252 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <subchap1>
              <pb xlink:href="035/01/197.jpg" pagenum="157"/>
              <p type="main">
                <s id="id.002410">Præterea duro.]
                  <emph type="italics"/>
                Alterum eſt quaſi problema quod nuci­
                  <lb/>
                frangibulum durum & graue facilius frangat: quam ligneum &
                  <lb/>
                leue. </s>
                <s id="id.002411">Cum tamen contra euenire deberet. </s>
                <s id="id.002412">Siquidem graue quod eſt,
                  <lb/>
                difficilius emoueatur.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.002413">An quia ſic vtrinque.]
                  <emph type="italics"/>
                Demonſtratio eſt problematis ſic.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.002414">
                  <emph type="italics"/>
                Valide comprimentia compreſſum frangunt.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.002415">
                  <emph type="italics"/>
                Nucifrangibulum validè nucem comprehenſam comprimit.
                  <lb/>
                </s>
                <s id="id.002416">quia duplicatus eſt vectis, vnum hypomochlium, vt in A
                  <lb/>
                commiſſura habentibus. </s>
                <s id="id.002417">Diductis enim B C extremis
                  <lb/>
                vectium E A B & F A C à viribus in E & F.
                  <lb/>
                alteris vectium extremis exiſtentibus, ſi ipſa compriman­
                  <lb/>
                tur etiam B & C comprimentur. </s>
                <s id="id.002418">Quare & nux D in­
                  <lb/>
                terpoſita, & valide compreſſa frangitur, tantò celerius:
                  <lb/>
                quantò extrema B & C minus diſtabunt ab hypomoch­
                  <lb/>
                lio A. </s>
                <s id="id.002419">Sic enim aliæ partes vectium ab ipſo diſtantes
                  <lb/>
                maiorem rationem habebunt. </s>
                <s id="id.002420">Et proinde facilius moue­
                  <lb/>
                bunt pondus mouendum, vt ante ſæpius eſt declaratum,
                  <lb/>
                Quare quod percuſsione, vel ictu pondus aliquod irruens
                  <lb/>
                in nucem feciſſet, id vectes compreßi certius faciunt. </s>
                <s id="id.002421">Sæpè
                  <lb/>
                enim ictum ob ſui
                  <expan abbr="rotũditatem">rotunditatem</expan>
                nux eludit. </s>
                <s id="id.002422">Nam cum nux
                  <lb/>
                ſit rotunda, inſiſtat autem plano attingens ipſam puncto,
                  <lb/>
                & à plano mallei in puncto attingatur, facile elabitur, niſi
                  <lb/>
                ictus
                  <emph.end type="italics"/>
                  <foreign lang="el">kat' i)/cin</foreign>
                  <emph type="italics"/>
                incidat in rectam, quæ coniungit hæc duo
                  <lb/>
                puncta.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.002423">
                  <emph type="italics"/>
                Itaque nucifrangibulum nucem facile ſine ictu franget.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.002424">Quantò igitur.]
                  <emph type="italics"/>
                Repetitio eſt eiuſdem ſuperflua.
                  <emph.end type="italics"/>
                </s>
              </p>
            </subchap1>
          </chap>
          <chap>
            <subchap1>
              <p type="main">
                <s id="id.002425">24.
                  <foreign lang="el">*dia\ ti/ e)n tw=| r(o/mbw| e(ka/­
                    <lb/>
                  teron tw=n a)/krwn shmei/wn ou)
                    <lb/>
                  th\n i)/shn eu)qei=an die/rxetai.</foreign>
                </s>
              </p>
              <p type="main">
                <s id="id.002426">24. Cur in Rhombo
                  <expan abbr="alterũ">alterum</expan>
                  <lb/>
                  <expan abbr="pũctorum">punctorum</expan>
                extremorum
                  <lb/>
                non æqualem rectam
                  <lb/>
                tranſit. </s>
              </p>
              <p type="main">
                <s id="id.002427">
                  <foreign lang="el">*dia\ ti/ ferome/nwn du/o fora\s e)n tw=| r(o/mbw| tw=n a)/krwn
                    <lb/>
                  shmei/wn a)mfote/rwn, ou) th\n i)/shn e(ka/teron au)tw=n eu)qei=an die/rxetai,
                    <lb/>
                  a)lla\ pollaplasi/an qa/teron; </foreign>
                </s>
                <s id="g0132302">
                  <foreign lang="el">o( au)to\s de\ lo/gos kai\
                    <lb/>
                  dia\ ti/ to\ e)pi\ th=s pleura=s fero/menon e)la/ttw die/rxetai th=s
                    <lb/>
                  pleura\s. </foreign>
                </s>
                <s id="g0132302a">
                  <foreign lang="el">to\ me\n ga\r th\n e)la/ttw dia/metron, h( de\ th\n
                    <lb/>
                  pleura\n mei/zw, kai\ h( me\n mi/an, to\ de\ du/o fe/retai
                    <lb/>
                  fora/s.</foreign>
                </s>
                <s id="g0132303">
                  <foreign lang="el">fere/sqw ga\r e)pi\ th=s *a*b, to\ me\n *a pro\s to\ *b, to\
                    <lb/>
                  de\ *b pro\s to\ *d, tw=| au)tw=| ta/xei: fere/sqw de\ kai\ h( *a*b
                    <lb/>
                  e)pi\ th=s *a*g, para\ th\n *g*d tw=| au)tw=| ta/xei tou/tois.</foreign>
                </s>
                <s id="g0132304">
                  <foreign lang="el">a)na/gkh
                    <lb/>
                  dh\ to\ me\n *a e)pi\ th=s *a*d diame/trou fe/resqai. </foreign>
                </s>
                <s id="g0132304a">
                  <foreign lang="el">to\ de\ *b e)pi\
                    <lb/>
                  th=s *b*g, kai\ a(/ma dielhluqe/nai e(kate/ran, kai\ th\n *a*b th\n
                    <lb/>
                  *a*g pleura/n.</foreign>
                </s>
                <s id="g0132304b">
                  <foreign lang="el">kai\ th\n *b*d th\n *b*a.</foreign>
                </s>
                <s id="g0132305">
                  <foreign lang="el">e)nhne/xqw ga\r to\ me\n *a, th\n *a*e, h( de\ *a
                    <lb/>
                  *b, th\n *a*z, kai\ e)/stw e)kbeblhme/nh h( *z*h para\ th\n *a*b,
                    <lb/>
                  kai\ a)po\ tou= *e peplhrw/sqw.</foreign>
                </s>
                <s id="g0132306">
                  <foreign lang="el">o(/moion ou)=n gi/netai to\ paraplhrwqe\n
                    <lb/>
                  tw=| o(/lw|.</foreign>
                </s>
                <s id="g0132307">
                  <foreign lang="el">i)/sh a)/ra h( *a*z th=| *a*e: h( de\ *a*b th\n *a*z,
                    <lb/>
                  ei)/h a)\n e)nhnegme/nh. </foreign>
                </s>
                <s id="g0132307a">
                  <foreign lang="el">e)/stai a)/ra e)pi\ th=s diame/trou kata\ to\ *q.</foreign>
                </s>
                <s id="g0132308">
                  <foreign lang="el">
                    <lb/>
                  kai\ ai)ei\ de\ a)na/gkh au)to\ fe/resqai kata\ th\n dia/metron.
                    <lb/>
                  </foreign>
                </s>
                <s id="g0132308a">
                  <foreign lang="el">kai\ a(/ma h( pleura\ h( *a*b, th\n pleura\n th\n *a*g di/eisi,
                    <lb/>
                  kai\ to\ *a th\n dia/metron di/eisi th\n *a*d.</foreign>
                </s>
                <s id="g0132309">
                  <foreign lang="el">o(moi/ws de\ deixqh/setai
                    <lb/>
                  kai\ to\ *b e)pi\ th=s *a*g diame/trou fero/menon. </foreign>
                </s>
                <s id="g0132309a">
                  <foreign lang="el">i)/sh
                    <lb/>
                  ga/r e)stin h( *b*e, th=| *b*h.</foreign>
                </s>
                <s id="g0132310">
                  <foreign lang="el">paraplhrwqe/ntos ou)=n a)po\ tou= *h,
                    <lb/>
                  o(/moio/n e)sti tw=| o(/lw| to\ e)nto/s: kai\ to\ *b e)pi\ th=s diame/trou
                    <lb/>
                  e)/stai kata\ th\n su/nayin tw=n pleurw=n, kai\ a(/ma di/eisin h(/
                    <lb/>
                  te pleura\ th\n pleura\n, kai\ to\ *b th\n *b*g dia/metron.</foreign>
                </s>
                <s id="g0132311">
                  <foreign lang="el">
                    <lb/>
                  a(/ma a)/ra kai\ to\ *a th\n pollaplasi/an th=s *b*g di/eisi,
                    <lb/>
                  kai\ h( pleura\ th\n e)la/ttona pleura\n tw=| au)tw=| ta/xei fero/mena,
                    <lb/>
                  kai\ h( pleura\ *b*d mei/zw pleura\n tou= *b*g dielh/luqe mi/an fora\n
                    <lb/>
                  ferome/nh.</foreign>
                </s>
                <s id="g0132312">
                  <foreign lang="el">o(/sw| ga\r a)\n o)cu/teros ge/nhtai o( r(o/mbos, h(
                    <lb/>
                  me\n dia/metros *a*g, h( e)la/ttwn gi/netai, h( de\ *a*d mei/zwn, h( de\
                    <lb/>
                  pleura\ th=s *b*g mei/zwn.</foreign>
                </s>
              </p>
              <p type="main">
                <s id="id.002428">Cur amborum extremo­
                  <lb/>
                rum
                  <expan abbr="pũctorum">punctorum</expan>
                duabus la­
                  <lb/>
                tionibus in rhombo lato­
                  <lb/>
                rum, alterum non tranſit
                  <lb/>
                æqualem rectam. </s>
                <s id="id.002429">ſed alte­</s>
              </p>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>