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

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            <p type="main">
              <s id="s.000435">
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              euidentiam, ſed veriſimilitudinem aſſequamur. </s>
              <s id="s.000436">Vnde
                <lb/>
              & videtur poſſe Poſtulatum, ſi veriſimile modò ſit, ac
                <lb/>
              neque ratione, neque experientia vlla oppugnetur, ad­
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              mitti ad ſcientiam, quæ vtcúmque perfecta abſolutè
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              non ſit, eiuſmodi tamen ſit, cuius ſit humana imbe­
                <lb/>
              cillitas capax. </s>
              <s id="s.000437">Ad hæc, addam-ne fuiſſe rem mihi
                <lb/>
              quodammodò ſtupendam, acceſſiſſe caſu ad me iſta
                <lb/>
              conſcribentem, nobiliſſimum Senatorem Petrum
                <lb/>
              Calcauium virum omninò promouendis bonis arti­
                <lb/>
              bus comparatum, puræque cum-primis Matheſeos
                <lb/>
              ſtudioſiſſimum; ac viſa mihi præ manibus tua Diſſer­
                <lb/>
              tatione, argumentóque cognito, innuiſſe tranſmiſ­
                <lb/>
              ſum in hanc vrbem exemplum editi nuperrimè Libri
                <lb/>
              ab Euangeliſta Torricellio, qui Galilei ſucceſſor exi­
                <lb/>
              mius demonſtrauerit in eo iſtud Poſtulatum? </s>
              <s id="s.000438">Præ­
                <lb/>
              tereo autem, vt copiâ illius videndi ſtatim impetratâ,
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              deprehenderim rem confectam quinque propoſitio­
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              nibus, ac Præmiſſo illo,
                <emph type="italics"/>
              Non poſſe duo
                <emph.end type="italics"/>
              G
                <emph type="italics"/>
              rauia ſimul
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              iuncta ex ſe moueri, niſi centrum commune grauitatis ipſo­
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              rum deſcendat.
                <emph.end type="italics"/>
              </s>
              <s id="s.000439"> Videlicet prima Propoſitio eſt,
                <lb/>
              G
                <emph type="italics"/>
              rauia in planis inæqualiter inclinatis, ac eandem tamen
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              eleuationem habentibus, conſtituta: ſi eandem inter ſe ratio­
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              nem homologè habeant, quam habent planorum longitudi­
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              nes, habere æqualia momenta.
                <emph.end type="italics"/>
              </s>
              <s id="s.000440"> Secunda,
                <emph type="italics"/>
              Eadem grauia ſi
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              æqualia fuerint, habere momenta in ratione reciproca longi­
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              tud num eorumdem planorum.
                <emph.end type="italics"/>
              </s>
              <s id="s.000441"> Tertia,
                <emph type="italics"/>
              Illa
                <expan abbr="æqualiũ">æqualium</expan>
              grauium
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              momenta eſſe in ratione homologa cum perpendiculis par­
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              tium æqualium eorumdem planorum.
                <emph.end type="italics"/>
              </s>
              <s id="s.000442"> Quarta,
                <emph type="italics"/>
              Tempora
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              lationum ex quiete eſſe homologè vt longitudines eorum­
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              dem planorum.
                <emph.end type="italics"/>
              </s>
              <s id="s.000443"> Quinta autem eſt ipſum Poſtulatum </s>
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        </body>
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