Fabri, Honoré, Tractatus physicus de motu locali, 1646

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          <chap id="N22A20">
            <pb pagenum="324" xlink:href="026/01/358.jpg"/>
            <p id="N243C6" type="main">
              <s id="N243C8">Obſeruo ſecundò iuxta progreſſionem Galilei, ſi aſſumatur pars tem­
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              poris ſenſibilis, in qua percurratur ſpatium ſuperius in arcu, non poſſe
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              cognoſci quanto tempore percurratur reliquus arcus; </s>
              <s id="N243D0">ſit enim trian­
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              gulum mixtum ABE, quale iam expreſſimus, ſitque primus arcus dato
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              tempore decurſus ad reliquum vt AD ad DE; </s>
              <s id="N243D8">ducatur DC, ſitque v.g.
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              trapezus DCBA ad triangulum ABE vt 2. ad.7.dico velocitatem, quæ
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              acquiritur in arcu AD, eſſe ad illam, quæ acquiritur in AE vt 2.ad 7. &
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              ad illam, quæ acquiritur in DE, vt 2.ad 5.ſed in hoc motu tempora non
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              ſunt vt velocitates; </s>
              <s id="N243E5">quia temporibus æqualibus non acquiruntur æqua­
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              les velocitatis gradus; </s>
              <s id="N243EB">igitur nec ſpatia vt temporum, ſeu velocitatum
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              quadrata; igitur incertum eſt hactenus, in qua proportione temporum
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              percurrantur duo arcus dati in quadrante, & quæ proportio ſpatiorum
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              reſpondeat temporibus datis. </s>
            </p>
            <p id="N243F5" type="main">
              <s id="N243F7">Secundò, incertum etiam hactenus in qua proportione percurratur
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              velociùs arcus, quàm chorda, & tardiùs, quàm radius in perpendiculo,
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              & quantum ſpatium in eodem perpendiculo percurratur eo tempore,
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              quo totus arcus quadrantis peragitur. </s>
            </p>
            <p id="N24400" type="main">
              <s id="N24402">Tertiò incertum eſt, in qua proportione minor vibratio citiùs peraga­
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              tur, quàm maior; </s>
              <s id="N24408">licèt cognoſci poſſit in qua proportione peragantur ci­
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              tiùs duæ chordæ inſcriptæ arcui minori, quàm duæ inſcriptæ arcui maio­
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              ri; & licèt certum ſit omnes chordas ſeorſim ſumptas æqualibus tem­
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              poribus decurri, & citiùs decurri duas eidem arcui inſcriptas, quàm ſo­
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              lam inferiorem. </s>
            </p>
            <p id="N24414" type="main">
              <s id="N24416">Quartò incertum eſt, in qua proportione imminuatur impetus tùm in
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              deſcenſu, tùm in aſcenſu, tùm propter reſiſtentiam aëris, tùm propter ten­
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              ſionem chordæ, tùm ratione triplicis determinationis in ſingulis pun­
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              ctis arcus; </s>
              <s id="N24420">licèt certum ſit quantum ſingulis inſtantibus detrahatur im­
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              petus in aſcenſu ab impetu innato retrahente pendulum deorſum; incer­
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              tum eſt tamen, quantus ſit ille impetus innatus. </s>
            </p>
            <p id="N24428" type="main">
              <s id="N2442A">Quintò, incertum eſt in qua proportione aſcenſus primæ vibrationis
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              ſit minor deſcenſu eiuſdem; </s>
              <s id="N24430">incertum etiam, in qua proportione aſcen­
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              ſus ſecundæ ſit minor aſcenſu prime; </s>
              <s id="N24436">incertum denique, in qua proportio­
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              ne plùs imminuatur aſcenſus maiorum vibrationum, quàm minorum; li­
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              cèt certum ſit plùs imminui. </s>
            </p>
            <p id="N2443E" type="main">
              <s id="N24440">Sextò, incertum eſt, quot peragantur vibrationes dati funependulis
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              item quantus ſit arcus vltimæ vibrationis; </s>
              <s id="N24446">item in qua proportione ma­
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              ior ſit numerus vibrationum, quarum prima maior eſt numero vibratio­
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              num, quarum prima minor eſt; denique quot intercipiantur vibratio­
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              nes in differentia data duorum arcuum. </s>
            </p>
            <p id="N24450" type="main">
              <s id="N24452">Hæc, quæ hactenus propoſuimus in 6. vltimis capitibus, ſunt omninò
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              incerta, ita vt neque ſenſu percipi poſſint, neque fuerit hactenus vllum
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              principium, per quod poſsint demonſtrari; niſi fortè primum caput ex­
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              cipias, de quo infrà. </s>
            </p>
            <p id="N2445C" type="main">
              <s id="N2445E">Primò dubium eſt an numerus vibrationum funependuli maioris ſit
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              maior numero vibrationum funependuli minoris, poſito quòd primam </s>
            </p>
          </chap>
        </body>
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