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

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              <s id="s.001097">
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              tum, quàm Galileum: atque idcircò ſi ille quidem Pa­
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              ralogiſmum admiſerit, incidiſſe te, recidiſſeque
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                <figure id="id.028.01.175.1.jpg" xlink:href="028/01/175/1.jpg" number="40"/>
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              in cundem: ac oſtendere vel ex ea ſola ratiocina­
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              tione tua, quæ relata eſt articulo XXXIII. quemad­
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              modum ex tuis principiis demonſtrare liceat,
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              ſi
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              velocitates ſicut ſpatia ſint,
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              fore
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              vt totum, & pars
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              eodem, aut æquali tempore percurrantur.
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              Aſſumptâ
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              ergo, quæ illeic, lineâ, ideò probas
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              ſpatium
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              DE,
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                <emph type="italics"/>
              eodem tempore tranſcurri, quo
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              SD; quia
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              cùm
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              AD
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                <emph type="italics"/>
              dupla ſit ipſius
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              AS,
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              &
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              AE
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              ipſius
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              AD,
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              neceſſe ſit ve­
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              locitatem in
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              D
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              duplam eſſe velocitatis in
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              S,
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              & veloci­
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              tatem in
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              E
                <emph type="italics"/>
              velocitatis in
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              D. </s>
              <s id="s.001098">Cùm & aliunde,
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              velo­
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              citas per totam
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              DE
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              dupla ſit velocitatis per totam
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              SD; quatenus
                <emph type="italics"/>
              quodlibet ſpatium incœptum ab
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              A,
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                <emph type="italics"/>
              & terminatum inter
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              D,
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              &
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              E,
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              duplum eſt alterius
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              ſpatii, quod ſit item incœptum ab
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              A,
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              & terminatum
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              inter
                <emph.end type="italics"/>
              S,
                <emph type="italics"/>
              &
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              D; Dico aut te inde nihil conclude­
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              re, aut ſic licere argumentari. </s>
            </p>
            <p type="main">
              <s id="s.001099">
                <emph type="italics"/>
              Si
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              DE,
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              &
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              SD,
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              eodem tempore percurruntur, quia veloci­
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              tas à
                <emph.end type="italics"/>
              D
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              in
                <emph.end type="italics"/>
              E,
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              dupla eſt velocitatis ab
                <emph.end type="italics"/>
              S
                <emph type="italics"/>
              in
                <emph.end type="italics"/>
              D. </s>
            </p>
            <p type="main">
              <s id="s.001100">Igitur,
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              AD, & A
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              S,
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              eodem tempore percurrentur, quia
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              velocitas, ab A in D dupla eſt velocitatis ab A in
                <emph.end type="italics"/>
              S. </s>
            </p>
            <p type="main">
              <s id="s.001101">Et ſimiliter,
                <emph type="italics"/>
              AE, & AD eodem tempore percurrentur;
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              quia velocitas ab
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              A
                <emph type="italics"/>
              in
                <emph.end type="italics"/>
              E,
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              dupla eſt velocitatis ab
                <emph.end type="italics"/>
              A
                <emph type="italics"/>
              in
                <emph.end type="italics"/>
              D. </s>
            </p>
            <p type="main">
              <s id="s.001102">Ac rurſus, quia vt velocitas per totam DE dupla
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              eſt velocitatis per totam SD, ita velocitas per totam
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              SD debet eſſe dupla velocitatis per totam PS, & ve­
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              locitas per totam PS, velocitatis per aliud vlterius di­
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              midium, acita porrò, quantum licebit ſubdiuidere ad
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              vſque punctum A, ſicque demum velocitas per totam </s>
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