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

Table of figures

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              <s id="s.001427">
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              bor: ſi verò non probes, fruſtrà omnis tuus. </s>
              <s id="s.001428">An ergo
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              alia ratione probas, quam quæ habetur numero tuæ
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              Diſſertationis XXXIV. pro ſecunda parte comparata
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              cum primæ partis inferiore dimidio; & XXXVII. pro
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              quarta comparata cum triente: ac xxxviij. </s>
              <s id="s.001429">pro
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              quarta comparata cum quadrante? </s>
              <s id="s.001430">Non certe. </s>
              <s id="s.001431">Ita­
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              que quid id ſit videamus, ac circa partem ſpeciatim ſe­
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              cundam (cùm eadem ſit ratio proportione de cæteris)
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              nam & tametſi res videatur eſſe iam abundè confecta:
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              operætamen
                <expan abbr="pretiũ">pretium</expan>
              eſt ipſam præſertim heic adnotare. </s>
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            <p type="main">
              <s id="s.001432">Aſſumptâ illeic lineâ AB, diuiſa in parteis æqua­
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              leis AD, DE, &c. </s>
              <s id="s.001433">ac prima parte biſecti in S,
                <lb/>
                <figure id="id.028.01.223.1.jpg" xlink:href="028/01/223/1.jpg" number="45"/>
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              expreſſa ſententia hiſce verbis exſtat
                <emph type="italics"/>
              Tota
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              DE
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                <emph type="italics"/>
              eodem præcisè tempore, quo pars
                <emph.end type="italics"/>
              SD
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              tranſcurritur.
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                <lb/>
              Tum probatio hæc additur,
                <emph type="italics"/>
              Cùm enim
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              AD
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              du­
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              pla ponatur ipſius
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              AS,
                <emph type="italics"/>
              & ſimiliter
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              AE
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              dupla ſit
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              ipſius
                <emph.end type="italics"/>
              AD,
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              neceſſe eſt, vt velocitas in
                <emph.end type="italics"/>
              D,
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              dupla ſit
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              velocitatis in
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              S,
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              & velocitas in
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              E
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              eodem modo du­
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              pla reperiatur velocitatis in D.
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              </s>
              <s id="s.001434"> Deducis conſe­
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              quenter velocitatem per totam DE eſſe du­
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              plam velocitatis per totam SD: ſed quod caput
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              eſt, peruideamus. </s>
              <s id="s.001435">Neceſſe dicis
                <emph type="italics"/>
              velocitatem in
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                <lb/>
              D,
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              eſſe duplam velocitatis in
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              S,
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              & velocitatem in
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              E
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                <emph type="italics"/>
              velocitatis in
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              D, eo argumento,
                <emph type="italics"/>
              quòd
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              AD
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              dupla
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              ſit ipſius
                <emph.end type="italics"/>
              AS,
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              &
                <emph.end type="italics"/>
              AE
                <emph type="italics"/>
              ipſius
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              AD. </s>
              <s id="s.001436">Quomodo
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              ergo neceſſitatem huius conſequutionis pro­
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              bas? </s>
              <s id="s.001437">Nam hoc opus, hic labor eſt. </s>
              <s id="s.001438">Quomodò,
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              inquam, ex eo, quòd
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              spatium
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              AD
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              duplum ſit spatij
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                <lb/>
              AS,
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              ſpatium
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              AE
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              spatij
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              AD, ſequi neceſſariò,
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              vt
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              velocitas in D dupla ſit velocitatis in S, & velocitas in
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              </s>
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