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

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              <s id="s.000695">
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              Et conſequenter, vt pergas probate tempus per
                <lb/>
                <figure id="id.028.01.109.1.jpg" xlink:href="028/01/109/1.jpg" number="22"/>
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              quartam partem EF æquale eſſe tempori per
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              KC quadrantem primæ,
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              Similiter,
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              inquis,
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              di­
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              uiſa bifariàm
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              CD
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              in
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              O,
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              ſumptoque quadr inte
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                <lb/>
              DP
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              æquali ipſi
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              KC,
                <emph type="italics"/>
              tota
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              AE
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              diuiſa erit in par­
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              teis quatuor æqualeis
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              AK KO, OP, PE;
                <emph type="italics"/>
              ideó
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              que velocitas in
                <emph.end type="italics"/>
              E
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              erit quadrupla velocitatis in
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              K,
                <emph type="italics"/>
              vt
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              tota
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              AE
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              quadrupla eſt ipſius
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              AK.
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              At velocitas
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              quoque in
                <emph.end type="italics"/>
              F
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              ob eandem rationem quadrupla etiam eſt
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              velocitatis in
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              C;
                <emph type="italics"/>
              velocitas igitur per totam
                <emph.end type="italics"/>
              EF
                <lb/>
                <emph type="italics"/>
              quadrupla eſt velocitatis per totam
                <emph.end type="italics"/>
              KC,
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              ſicut tota
                <emph.end type="italics"/>
                <lb/>
              EF
                <emph type="italics"/>
              quadrupla eſt ipſius
                <emph.end type="italics"/>
              KC.
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              Percurrentur igitur
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                <lb/>
              KC,
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              &
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              EF
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              æquali tempore.
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              </s>
              <s id="s.000696"> Sequitur,
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              Ea
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              dem autem etiam ratio eſt cæterarum omnium par­
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              tium, vt facilè quilibet ex iſtis per ſe intelliget.
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              </s>
              <s id="s.000697"> Con­
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              cludis,
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              Si ſpatium igitur, per quod corpus quodcum­
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              que graue deſcendit, ea, qua dictum eſt, ratione diui­
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              ſum intelligatur, ſingulæ partes huiuſmodi æquales tanto
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              præcisè tempore à corpore graui deſcendente percur­
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              rentur, quantò partes ipſis analogæ ac reſpondentes
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              in ſuprema parte
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              (aut inferiore eius dimidio)
                <emph type="italics"/>
              deſi
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              gnatæ ab eodem corpore graui decurſæ fuerint, vt est
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              propoſitum.
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              </s>
              <s id="s.000698"> Prætereo autem, quod ſubinde de­
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              claras te adſcripſiſſe fini cuiuſque ſex partium
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              numerum integrum, incipiendo ab vnitate,
                <lb/>
              ad deſignandum velocitatis gradus illeic acquiſitos, &
                <lb/>
              ex æquo factos cum decurſis partibus; adſcripſiſſe au­
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              tem mediis interuallis ſecundæ, & ſequentium partium
                <lb/>
              fractos numeros, ad deſignandum tempora, ſiue fra­
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              ctiones temporis primi, quibus vnumquodque ſpa-</s>
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