Fabri, Honoré, Tractatus physicus de motu locali, 1646

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            <p id="N244D4" type="main">
              <s id="N24559">
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              detrahetur HK quadruplum MN; </s>
              <s id="N24562">nam ſicut idem impetus concurrens
                <lb/>
              duobus temporibus addit quadruplum ſpatium propter motum accele­
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              ratum; </s>
              <s id="N2456A">ita ſi non concurrat duobus temporibus, deerit ſpatium qua­
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              druplum illius quod deeſſet, ſi tantùm vno tempore non concurreret; </s>
              <s id="N24570">
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              igitur aſcenſus maioris funependuli erit OH; </s>
              <s id="N24575">igitur OH, ON erunt vi­
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              brationes ſimiles; </s>
              <s id="N2457B">igitur ſi deſcendat AG ex H, & AO ex N, vibrationes
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              aſcenſus ſecundi erunt adhuc ſimiles propter
                <expan abbr="cãdem">eandem</expan>
              rationem; </s>
              <s id="N24585">igitur
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              & vibrationes tertij aſcenſus, quarti, quinti, atque ita deinceps; </s>
              <s id="N2458B">igitur tot
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              erunt vibrationes maioris, quot minoris per ſe, ſi prima vtriuſque vi­
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              bratio ſit ſimilis: dixi per ſe; nam per accidens ratione funis ferè ſemper
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              accidit mutari iſtum ordinem vibrationum. </s>
            </p>
            <p id="N24595" type="main">
              <s id="N24597">Præterea, cùm impetus, quo pendulum maius aſcendit per GK,
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              ſit duplus illius, quo minus aſcendit per OM, cùm in ſingulis punctis
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              aſcenſus OM, & ſingulis aſcenſus GK deſtruatur impetus; </s>
              <s id="N2459F">cum GK ſit
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              quadruplum OM; </s>
              <s id="N245A5">certè in ſingulis punctis GK impetus deſtruitur ſub­
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              duplus illius, qui in ſingulis punctis OM deſtruitur; ſi enim æqualis; </s>
              <s id="N245AB">igi­
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              tur impetus per GK eſſet quadruplus impetus per OM; </s>
              <s id="N245B1">ſi minor ſubdu­
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              plo v. g. ſubquadruplus; </s>
              <s id="N245BB">igitur impetus per GK eſſet æqualis impetui
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              per OM; </s>
              <s id="N245C1">ſed eſt tantum duplus; </s>
              <s id="N245C5">igitur ſubduplus deſtruitur in ſingulis
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              punctis, igitur in æquali punctorum GK numero, ſubduplus tantùm im­
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              petus deſtrueretur; </s>
              <s id="N245CD">in duplo punctorum numero, æqualis, in quadruplo
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              punctorum numero, duplus; </s>
              <s id="N245D3">deſtruitur autem in ſingulis punctis GK
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              ſubduplus; quia ſubduplum tantùm tempus reſpondet ſingulis punctis G
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              K illius temporis, quod reſpondet ſingulis punctis OM. </s>
            </p>
            <p id="N245DB" type="main">
              <s id="N245DD">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium
                <emph.end type="italics"/>
              1.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N245EA" type="main">
              <s id="N245EC">Primò colligo, ſolutionem primi dubij propoſiti ſuprà, ita vt non iam
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              dubium, at certum omninò ſuperſit. </s>
            </p>
            <p id="N245F1" type="main">
              <s id="N245F3">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium
                <emph.end type="italics"/>
              2.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N24600" type="main">
              <s id="N24602">Secundò colligo, ſolutionem ſecundi dubij, ſi enim funependulum P
                <lb/>
              G demittatur ex PR & AG ex AT; </s>
              <s id="N24608">haud dubiè plures erunt vibrationes
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              penduli PG, quàm AG; </s>
              <s id="N2460E">quia tot eſſent AG, quot PG, ſi AG demittere­
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              tur ex AD; </s>
              <s id="N24614">ſed plures ſunt vibrationes funependuli AG demiſſi ex AD,
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              quàm eiuſdem ex AT; </s>
              <s id="N2461A">ergo plures funependuli PG demiſſi ex PR,
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              quàm AG demiſſi ex AT; vnde ſoluitur prima pars dubij ſecundi, </s>
            </p>
            <p id="N24620" type="main">
              <s id="N24622">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium
                <emph.end type="italics"/>
              3.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N2462F" type="main">
              <s id="N24631">Tertiò colligo, ſolutionem ſecundæ partis eiuſdem dubij; </s>
              <s id="N24635">ſi enim A
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              O demittatur ex AB, & AG ex AS; </s>
              <s id="N2463B">ita arcus GS ſit æqualis arcui OB; </s>
              <s id="N2463F">
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              certè erunt plures vibrationes AO, quàm AG, vt patet ex dictis; quod
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              ſpectat ad tertium dubium, illud ipſum ſoluemus paulò pòſt. </s>
            </p>
            <p id="N24646" type="main">
              <s id="N24648">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium.
                <emph.end type="italics"/>
              4.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N24655" type="main">
              <s id="N24657">Quartò ſi demittatur funependulum AG ex AV, vt deſcendat in A
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              G, ſitque clauus horizonti parallelus in P, non aſcendet ſegmentum PG
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              in PR, vt vult Galileus; </s>
              <s id="N2465F">quia AV non aſcenderet in AT, quod ipſe ſup-</s>
            </p>
          </chap>
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