Fabri, Honoré, Tractatus physicus de motu locali, 1646

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          <chap id="N22A20">
            <p id="N24188" type="main">
              <s id="N241B4">
                <pb pagenum="321" xlink:href="026/01/355.jpg"/>
              CG, D F parallelæ AI; </s>
              <s id="N241BD">cum ſpatium eo modo decidatur ex area EI, quo
                <lb/>
              ex perpendiculo EA maiori vibrationi detrahitur IH, ſecundæ minori
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              HG, tertiæ GF, quartæ FE; igitur plùs detrahitur minoribus, quàm
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              maioribus. </s>
            </p>
            <p id="N241C7" type="main">
              <s id="N241C9">Reſpondeo, maius ſpatium percurri ſurſum maiore tempore, quàm
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              minus; </s>
              <s id="N241CF">ſit enim EA conſtans 36. ſpatia iuxta nouam progreſſionem
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              arithmeticam, ſintque 8. gradus impetus acquiſiti in deſcenſu AE con­
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              iuncti cum innato: </s>
              <s id="N241D7">primo inſtanti, ſeu tempore percurrentur tantùm 7.
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              ſpatia,
                <expan abbr="deſtrueturq́ue">deſtrueturque</expan>
              vnus gradus impetus, ſecundo 6.
                <expan abbr="deſtrueturq́ue">deſtrueturque</expan>
              al­
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              ter gradus impetus; denique tertio 5. quatto 4. &c. </s>
              <s id="N241E7">igitur 28. ſpatia 7.
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              inſtantibus; igitur non perueniet in A mobile, ſed conficiet ſpatium,
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              quod erit ad EA, vt 28. ad 36. porrò ſi cadat ex 28. acquiret 7. gradus
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              impetus præter innatum, quorum ope ſecundo aſcendet ad 21. tertio ad
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              15. quartò ad 10. quinto ad 6. ſextò ad 3. ſeptimo ad 1. igitur ſpatium
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              quod amittit in aſcenſu continet 8. in ſecundo 7. in tertio 6. in quarto
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              5. in quinto 4. in ſexto 3. in ſeptimo 2. igitur eſt maxima inæqualitas,
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              quæ pari modo explicari poteſt in progreſſione Galilei. </s>
            </p>
            <p id="N241FA" type="main">
              <s id="N241FC">Secundò, obijci poteſt: </s>
              <s id="N241FF">amitti tantùm ſpatij ſingulis temporibus,
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              quantum acquiritur primo tempore, vel inſtanti, cum impetu innato: ſed
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              cum primo ille velocitatis gradu vix intra multos annos conficeretur
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              modicum ſpatium. </s>
              <s id="N2420A">Reſpondeo, ſi conſideretur tantùm illud ſpatium,
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              quod acquiritur primo tempore cum impetu non impedito; </s>
              <s id="N24210">haud dubiè
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              inſenſibile eſt, & licèt infinitus ferè repetatur illud idem ſpatium; </s>
              <s id="N24216">haud
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              dubiè inſenſibile manet: vnde ſi aſcenſus fiat in 10000. inſtantibus, to­
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              ties accipi debet illud ipſum ſpatium, ex quo modicum tantùm reſultat,
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              quod minuitur in ſecundo aſcenſu, itemque in tertio, quarto, &c. </s>
            </p>
            <p id="N24220" type="main">
              <s id="N24222">Vnde tenſio funis, ex quo pendet corpus graue conſideranda eſt, qui
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              cum propter impetum deſcenſus mox dilatetur, & tendatur, mox contra­
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              hatur, tùm in aſcenſu, tùm in deſcenſu; </s>
              <s id="N2422A">certè multùm impetus deſtruitur,
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              quod autem tendatur maximè in deſcenſu prædictus funis, conſtat
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              multis experimentis ſi minor eſt; nam reuerâ; ſi maior, eſſet multum re­
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              tardaret motum tùm aëris reſiſtentia, quæ etiam aliquid facit, licèt totus
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              hic effectus ab illa pendere non poſſit, vt aliqui volunt, tùm etiam partes
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              funis propiùs ad centrum accedentes, quæ citiùs deſcendunt, &c. </s>
            </p>
            <p id="N24238" type="main">
              <s id="N2423A">Tertiò, ſunt tres determinationes in aſcenſu; </s>
              <s id="N2423E">prima eſt impetus pro­
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              ducti in deſcenſu determinati ad Tangentem; ſecunda funis per ſuam li­
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              neam quaſi retrahentis pendulum. </s>
              <s id="N24246">tertia ipſius impetus innati quaſi tra­
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              hentis deorſum idem pondus; atqui ex pugna trium determinationum in
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              eodem mobili deſtruitur multùm impetus, vt patet ex dictis alibi. </s>
            </p>
            <p id="N2424E" type="main">
              <s id="N24250">Quartò, cum eo impetu, cuius ope non poſſet corpus aſcendere per
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              ipſum perpendiculum EA, aſcendit adhuc per arcum EI; </s>
              <s id="N24256">licèt enim cum
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              co impetu, quo fertur in F poſſit fieri in D, ſed tardiori motu; </s>
              <s id="N2425C">attamen
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              quia impetus qui pendulo ineſt, eſt determinatus ad talem gradum ve­
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              locitatis, quo certè per ipſam ED ferri non poteſt; </s>
              <s id="N24264">quod etiam euincitur
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              ex organis mechanicis, & planis inclinatis; </s>
              <s id="N2426A">nam reuerà moueret aliquis </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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