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

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              <s id="s.000928">
                <pb pagenum="109" xlink:href="028/01/149.jpg"/>
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              lineis metienda edicis? </s>
              <s id="s.000929">Constat autem lineas
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              CL, ND,
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              EQ,
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              &c. </s>
              <s id="s.000930">vniformi augmento accreſcere, & eſſe, vt
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              AC
                <emph type="italics"/>
              ad
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                <lb/>
              CL,
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              ita
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              AD
                <emph type="italics"/>
              ad
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              DN,
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              &
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              AE
                <emph type="italics"/>
              ad
                <emph.end type="italics"/>
              EQ,
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              &c. </s>
              <s id="s.000931">Non
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              rectè igitur cenſes augmentum velocitatis vniforme eſſe non
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              poſſe, ſi spatijs æqualibus creſcat æqualiter, & tota illa noui
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              istius trianguli difformis ſtructura sponte corruit.
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              </s>
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            <p type="main">
              <s id="s.000932">Heic idem dicendum, quod & paulò antè, quate­
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              nus parteis lineæ AB contendis habendas pro parti­
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              bus ſpatij, quæ comparentur cum parallelis habitis
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              pro gradibus velocitatis, nulla habita temporis ratio­
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              ne. </s>
              <s id="s.000933">Quod autem quæris,
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              Cur hoc loco celeritatis aug­
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              menta triangulis in ſuperiore autem figura lineis metienda
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              edixerim?
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              Cauſſam ex eo potes intelligere, quòd cùm
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              tu duos gradus NM, & MD, v. c. æqualeis facias,
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              quaſi acquiſitos ex L, & C, ſecundum duos triangulos
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              LNM, & CMD (tametſi inæquales ſint, & MD ex
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              LC manente factus, duobus æquiualeat) ideò quem
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              defectum exprimere non licuit lineâ ND, exprimere
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              placuerit trapezio LD. Nimirùm, cùm velocitas
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              ND creetur partim ex LC, promota in MD ſecun­
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              dum quadrangulum, partim ex additamentis ipſi fa­
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              ctis ſecundum triangulum LNM; tu ex velocitate hac
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              detrahis integrum triangulum LMC: ſicque ex tri­
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              bus ſuperſunt tantum partes velocitatis duæ, quas vt
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              ſimul iunct is repræſentarem, triangulum à te factum
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                <expan abbr="vacuũ">vacuum</expan>
              ſupplcui, tranſlato LNM in MCL: cópoſitoque
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              inde quadrangulo, locum ipſum trianguli tranſlati re­
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              liqui inanem. </s>
              <s id="s.000934">Fandem autem ob cauſſam relicti ſunt
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              duo trianguli manes ad ordinem tertium tres ad quar­
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              tum, &c. </s>
              <s id="s.000935">Exindeque eſt, cur
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              difformis
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              quidem, ſed </s>
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