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

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              <s id="s.000670">
                <pb pagenum="64" xlink:href="028/01/104.jpg"/>
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              dimidia pars, & tertia, & quarta, ac deinceps cæteræ, inci­
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              piendo diuiſiones iſtas omneis ab infimo eiuſdem primæ par­
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              tis puncto, donec totidem deſignatæ ſint, quot in reliquo ſpatio
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              partes æquales acceptæ fuerint: tum ſingulæ partes huiuſmo­
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              di æquales tanto præcisè tempore à corpore graui
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                <figure id="id.028.01.104.1.jpg" xlink:href="028/01/104/1.jpg" number="20"/>
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              deſcendente percurrantur, quanto partes ipſis analo­
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              gæ, ac respondentes in ſuprema parte
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              (ſeu infe­
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              riore eius dimidio)
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              ab eodem corpore graui de­
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              curſæ fuerint.
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              </s>
              <s id="s.000671"> Rem conſequenter ita declaras;
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              S
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              it ſpatium
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              AB (in ſchemate hoc)
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              per quod
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              corpus graue deſcendat, in parteis exempli gratiâ
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              ſex æqualeis diuiſum in
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              C, D, E, F, & G:
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              primæ­
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              que, ac ſupremæ partis
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              AC,
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              ex infimo eius pun­
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              cto
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              C
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              deſignetur primùm media pars
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              CH,
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              dein­
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              de tertia
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              CI,
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              & quarta
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              CK,
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              itemque quinta, &
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              ſexta
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              CL,
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              &
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              CM.
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              Dico corpus graue deſcen­
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              dens per
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              AB
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              tanto præcisè tempore pertranſire ſe­
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              cundam partem
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              CD,
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              quanto dimidiam primæ par­
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              tis
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              HC,
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              antè pertranſiuit; & ſimiliter pari, atque
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              æquali tempore partem
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              DE,
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              quæ ordine tertia est,
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              & tertiam primę partis, nempe
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              IC
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              ab eodem cor­
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              pore deſcendente tranſcurri, & ita de cęteris.
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              </s>
              <s id="s.000672"> Tunc
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              autem pergis.
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              Et quidem de ſecunda parte
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              CD,
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                <emph type="italics"/>
              eam non longiore tempore decurri, quàm quo primę
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              partis posterior dimidia pars tranſiniſſa fuerit, iam
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              paulò antè oſtenſum est, nec maiore negotio idem
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              de cęteris quoque partibus concludetur. </s>
              <s id="s.000673">Sumpto
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              enim
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              CN,
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              &c.
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              </s>
            </p>
            <p type="main">
              <s id="s.000674">XXXV. </s>
              <s id="s.000675">Verùm priuſquàm gradus ad
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              cæteras fiat, conſiſtendum eſt in hac prima; cùm </s>
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