Fabri, Honoré, Tractatus physicus de motu locali, 1646

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          <chap id="N1C940">
            <p id="N1E44B" type="main">
              <s id="N1E468">
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              vllum
                <expan abbr="gradũ">gradum</expan>
              impetus, quia ſcilicet impetus innatus in omnibus inſtan­
                <lb/>
              tibus præcedentibus habuit motum
                <expan abbr="deorsũ">deorsum</expan>
              ; </s>
              <s id="N1E47B">igitur nullo
                <expan abbr="inſtãti">inſtanti</expan>
              præteri­
                <lb/>
              to exigebat motum oppoſitum: adde quod vltimo inſtanti deſcenſus quo
                <lb/>
              mobile ponitur in F impetus naturalis non exigit ampliùs motum, cur
                <lb/>
              enim potius verſus M quàm verſus N, igitur primo tantùm inſtanti aſ­
                <lb/>
              cenſus quo mobile fertur verſus N, impetus naturalis exigit mobile re­
                <lb/>
              dire in F. </s>
            </p>
            <p id="N1E48E" type="main">
              <s id="N1E490">Dices, ſi primo inſtanti aſcenſus nullus gradus impetus deſtruitur; igi­
                <lb/>
              tur nec ſecundo neque tertio, non eſt enim potior ratio pro vno quàm
                <lb/>
              pro altero. </s>
              <s id="N1E498">Reſponderet negando, nam ideo, vt iam indicaui, primo
                <expan abbr="inſtã-ti">inſtan­
                  <lb/>
                ti</expan>
              aſcenſus nullus gradus deſtruitur, quia inſtanti immediatè
                <expan abbr="antecedẽti">antecedenti</expan>
              ,
                <lb/>
              quod erat vltimum deſcenſus, impetus innatus non exigebat quidquam
                <lb/>
              ampliùs, igitur nullus gradus eſt fruſtrà, igitur nullus deſtruitur, at verò
                <lb/>
              inſtanti aſcenſus impetus innatus exigit pro ſequente, quod eſt ſecun­
                <lb/>
              dum aſcenſus mobile redire in F, igitur ex illa pugna ſecundi inſtantis
                <lb/>
              deſtruitur aliquid impetus; </s>
              <s id="N1E4B0">ſed profectò primo aſcenſus deſtruitur ali­
                <lb/>
              quid impetus, quia aliquid motus remittitur, propter impetum inna­
                <lb/>
              tum; </s>
              <s id="N1E4B8">igitur aliquis impetus eſt fruſtrà: </s>
              <s id="N1E4BC">non tamen hoc facit, quin omnes
                <lb/>
              gradus in deſcenſu acquiſiti concurrant ad aſcenſum; igitur tot concur­
                <lb/>
              runt ad aſcenſum, quot ad deſcenſum, cum hac tamen differentia, quod
                <lb/>
              impetus innatus, qui concurrit ad deſcenſum, non ad aſcenſum ſit longè
                <lb/>
              velocior vltimo inſtanti motus acquiſito, qui concurrit ad deſcenſum,
                <lb/>
              non ad aſcenſum, </s>
            </p>
            <p id="N1E4CA" type="main">
              <s id="N1E4CC">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              74.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1E4D8" type="main">
              <s id="N1E4DA">
                <emph type="italics"/>
              Hinc in ea proportione creſcit impetus in deſcenſu, qua decreſcit in aſcenſu,
                <lb/>
              & in eadem creſcit, & decreſcit motus in eadem creſcunt, & decreſcunt ſpa­
                <lb/>
              tia,
                <emph.end type="italics"/>
              v.g. ſint ſex inſtantia deſcenſus iuxta proportionem ſcilicet inſtan­
                <lb/>
              tium, in qua res iſta faciliùs explicatur: </s>
              <s id="N1E4EB">primo inſtanti motus ſunt duo
                <lb/>
              gradus impetus, quorum alter tantùm concurrit, ſcilicet qui præextitit; </s>
              <s id="N1E4F1">
                <lb/>
              qui enim producitur primo illo inſtanti, non concurrit ad illum motum
                <lb/>
              per Th. 34. lib. 1. igitur primo inſtanti ſunt duo gradus impetus, vnus
                <lb/>
              gradus motus, & vnum ſpatium; </s>
              <s id="N1E4FA">ſecundo verò inſtanti ſunt tres gradus
                <lb/>
              impetus quorum vnus non concurrit, 2. gradus motus, 2.ſpatia, atque ita
                <lb/>
              deinceps; donec tandem ſexto eo vltimo inſtanti deſcenſus ſint 7. gra­
                <lb/>
              dus impetus, quorum vnus non concurrit, 6. gradus motus, & 6.
                <lb/>
              ſpatia. </s>
            </p>
            <p id="N1E506" type="main">
              <s id="N1E508">Similiter primo inſtanti aſcenſus ſunt 7. gradus impetus, quorum
                <lb/>
              vnus non concurrit ſcilicet innatus, 6. gradus motus, 6. ſpatia; ſecundo
                <lb/>
              6.gradus impetus, quorum vnus non concurrit ſcilicet innatus, 5.gradus
                <lb/>
              motus, 5.ſpatia, atque ita deinceps. </s>
            </p>
            <p id="N1E512" type="main">
              <s id="N1E514">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              35.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1E520" type="main">
              <s id="N1E522">
                <emph type="italics"/>
              Hinc æqualia ferè vtrimque ſunt ſpatia deſcenſus ſcilicet, & aſcenſus
                <emph.end type="italics"/>
              ; v.g.
                <lb/>
              MF æquale FN, quia eſt ſumma eorumdem terminorum per Th. 74.
                <lb/>
              igitur ex F mobile aſcendit ad altitudinem FN æqualem altitudini FM, </s>
            </p>
          </chap>
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