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

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        <body>
          <chap>
            <p type="main">
              <s id="s.000649">
                <pb pagenum="61" xlink:href="028/01/101.jpg"/>
                <emph type="italics"/>
              quarta parte eiuſdem temporis percurreretur; ſicque deſcen­
                <lb/>
              ſus per totam DE minutis
                <emph.end type="italics"/>
              (2 1/3)
                <emph type="italics"/>
              abſolueretur.
                <emph.end type="italics"/>
              </s>
              <s id="s.000650"> Quid ni
                <lb/>
              verò id quoque neceſſe non ſit, exſiſtente ſemper
                <lb/>
              eadem ratione dimidiorum ad dimidia, quæ toto­
                <lb/>
              rum ad tota? </s>
              <s id="s.000651">At
                <emph type="italics"/>
              paullò antè,
                <emph.end type="italics"/>
              inquis,
                <emph type="italics"/>
              ſuppoſuimus ean­
                <lb/>
              dem partem non niſi tribus minutis decurri.
                <emph.end type="italics"/>
              </s>
              <s id="s.000652"> Id verò ſanè
                <lb/>
              non ſuppoſuiſti, vt aliquid gratis conceſſum; ſed vt
                <lb/>
              aliquid neceſſariò cum tuis principiis cohærens.
                <lb/>
              </s>
              <s id="s.000653">Quare & fit quidem, vt euincas rem eſſe impoſſibi­
                <lb/>
              lem, percurri partem DE dimidio eius temporis, quo
                <lb/>
              percurritur AD; ſed euincas tamen aduerſus teipſum;
                <lb/>
              cùm ex hoc rursùs efficiatur, vt motu æquabiliter ac­
                <lb/>
              celerato ex A in E, non fuerint in E acquiſiti duo
                <lb/>
              celeritatis gradus, quemadmodum in D fuit acquiſi­
                <lb/>
              tus vnus, ſi mobile quidem per totam DE non ſit
                <lb/>
              motum duplò velocius, quàm per totam DA; atque
                <lb/>
              idcircò in dimidio temporis, durationeve minuto­
                <lb/>
              rum trium. </s>
              <s id="s.000654">Fit etiam, vt quando concludis,
                <emph type="italics"/>
              Per
                <lb/>
              hanc igitur primi temporis ſubdiuiſionem, accelerationem
                <lb/>
              motus in deſcenſu grauium ſatis exactè non explicari;
                <emph.end type="italics"/>
              adiici
                <lb/>
              poſſit, neque explicari per tuam illam poſitionem,
                <lb/>
              cum qua hæc ſubdiuiſio indiuiduè connexa eſt, &
                <lb/>
              à qua illam auertere, ob contradictionem conſequen­
                <lb/>
              tem conatus, nihil aliud videris, quàm, quod vulgò
                <lb/>
              aiunt, incommodum per incommodum ſoluere. </s>
            </p>
            <p type="main">
              <s id="s.000655">XXXIII. </s>
              <s id="s.000656">Prætextu ſubinde quæſito vlterioris
                <lb/>
                <expan abbr="incõmodi">incommodi</expan>
              , ſubſternis quaſi fundamentum conſtituen­
                <lb/>
              dæ poſteà à te progreſſionis motus per parteis tem­
                <lb/>
              poris æqualeis ſecundum rationem continenter du­
                <lb/>
              plam. </s>
              <s id="s.000657">Nam,
                <emph type="italics"/>
              Accedit,
                <emph.end type="italics"/>
              inquis,
                <emph type="italics"/>
              quòd tota DE eodem
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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