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

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            <p type="main">
              <s id="s.001358">
                <pb pagenum="175" xlink:href="028/01/215.jpg"/>
                <emph type="italics"/>
              inter
                <emph.end type="italics"/>
              S,
                <emph type="italics"/>
              &
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              D,
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              & ita de cæteris.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001359">Concedo; hæc enim reuerâ in opinionem, quam
                <lb/>
              ſequor, quadrant, ſecus ac in tuam, quæ tantoperè
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              auerſatur progredi adhuc, promouendo comparatio­
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              nem vltra S verſus A, ne initium magis verſus initium
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              promoueatur. </s>
              <s id="s.001360">Concedo, inquam, quatenus hæ omnes
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              velocitates ab A incipiunt, & eandem inter ſe ratio­
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              nem, quam ipſa tempora obſeruant. </s>
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            <p type="main">
              <s id="s.001361">
                <emph type="italics"/>
              Ex quo neceſſariò conſequens eſt, vt tota velocitas acquiſi­
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              ta toto tempore
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              DE,
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              præcisè, & exactè dupla ſit velocitatis
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              acquiſitæ toto tempore
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              SD. </s>
            </p>
            <p type="main">
              <s id="s.001362">Tametſi punctum, à quo incipiunt velocitates, iam
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              varies: concedo nihilominus, & neque id modò, ſed
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              etiam velocitatem acquiſitam tempore DE duplam
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              eſſe acquiſitæ tempore AS, & tempore DK, & tem­
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              pore KE. </s>
              <s id="s.001363">Nempe acquiſita tempore DE non eſt tota
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              EH, vt falsò ſupponis, ſed eius dimidium, quod pro­
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              inde duplum eſt non totius DG, quam falsò totam
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              acquiſitam ſupponis ab S, in D, ſed dimidij eius dun­
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              taxat. </s>
              <s id="s.001364">Hoc autem cùm æquale ſit acquiſitæ ab A in S,
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              à D in K, à K in E: ideò acquiſita à D in E, pari modo
                <lb/>
              eſt earum omnium dupla. </s>
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            <p type="main">
              <s id="s.001365">
                <emph type="italics"/>
              Non autem totius acquiſitæ tempore
                <emph.end type="italics"/>
              AD. </s>
            </p>
            <p type="main">
              <s id="s.001366">Et quis, cui hoc dixit, acquiſitam tempore DE, du­
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              plam eſſe acquiſitæ tempore AD, niſi ipſe tibi? </s>
            </p>
            <p type="main">
              <s id="s.001367">
                <emph type="italics"/>
              Vides igitur in tua quoque, &
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              G
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              alilei ſententia perinde,
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              atque eadem ratione, qua in noſtra, velocitatem ſecunda parte
                <emph.end type="italics"/>
                <lb/>
              DE
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              acquiſitam non totius velocitatis acquiſitæ in prima parte
                <emph.end type="italics"/>
                <lb/>
              AD
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              duplam eſſe, ſed velocitatis acquiſitæ in vltima eius me­
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              dietate
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              SD. </s>
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