Gassendi, Pierre, De proportione qua gravia decidentia accelerantur, 1646

List of thumbnails

< >
111
111
112
112
113
113
114
114
115
115
116
116
117
117
118
118
119
119
120
120
< >
page |< < of 360 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000705">
                <pb pagenum="71" xlink:href="028/01/111.jpg"/>
              trienteis quorum poſtremus ſit IC; ſic tota AH diui­
                <lb/>
              di poteſt in trienteis treis, quorum poſtremus ſit QH;
                <lb/>
              & vt facis tempus per IC minuti vnius cum triente;
                <lb/>
              cùm ſit nempe triens minutorum quatuor, ſiue duo­
                <lb/>
              rum bes; ita facere licet tempus per QH quadragin­
                <lb/>
              ta ſecundorum, cùm ſit triens minutorum duorum,
                <lb/>
              ſiue bes vnius minuti. </s>
              <s id="s.000706">Cùm autem hoc modo QH
                <lb/>
              ſe habeat ad IC, vt IC, ad ND; & CA non minùs ſit
                <lb/>
              tripla ipſius AQ, quàm DA ipſius AI, vtráque nem­
                <lb/>
              pe pari modo, quo EA ipſius AC; adeò vt velocitati­
                <lb/>
              bus ob rationem triplam exæquatis, ſic ego poſſim
                <lb/>
              concludere QH ſe habere ad IC, vt tu concludis IC
                <lb/>
              ſe habere ad DE, ſequitur, vt, quia concludis tempora
                <lb/>
              per IC, & DE eſſe æqualia; tempora quoque per QH,
                <lb/>
              & IC æqualia ſint, ac proinde tempus per IC ſit iam
                <lb/>
              non vnius minuti cum beſſe, ſed dimidium minuti
                <lb/>
              cum ſextante; & qua ratione hoc ſequitur, ſequetur vt
                <lb/>
              aſſumpto dimidio ipſius AH, ac ita ſumptis in infini­
                <lb/>
              tum dimidiorum dimidiis, quæ per trienteis diuidan­
                <lb/>
              tur, futurum, vt ipſa IC minore ſemper, ac minore in
                <lb/>
              inſinitum tempore, quàm ipſe admiſeris, cenſeatur per­
                <lb/>
              curri. </s>
              <s id="s.000707">Sic ex eo, quod vis velocitatem in E eſſe tri­
                <lb/>
              plam velocitatis in C; & velocitatem in D triplam
                <lb/>
              velocitatis in I, pro ratione nempe ſpatiorum, Sequi­
                <lb/>
              tur vt tam tota DE, quàm tota IC percurrantur non
                <lb/>
              iam vno minuto cum triente, ſed omninò duobus
                <lb/>
              minutis, trienteve minutorum ſex, quibus percurritur
                <lb/>
              AC: cùm vbicumque eſt velocitatis triplum, ibi ma­
                <lb/>
              nifeſtò non ſit nec ampliùs nec minùs, quàm tempo­
                <lb/>
              ris triens. </s>
              <s id="s.000708">Sic incidis rursùs in eum, quem eſſe cauſ-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>