Fabri, Honoré, Tractatus physicus de motu locali, 1646

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            <p id="N17B31" type="main">
              <s id="N17B51">
                <pb pagenum="111" xlink:href="026/01/143.jpg"/>
              bet; </s>
              <s id="N17B5B">primus eſt grauitatio, ſeu niſus verſus centrum; ſecundus motus
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              deorſum; </s>
              <s id="N17B61">cùm tamen impetus additivius motum tantùm pro fine habeat;
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              igitur ſi impeditur totus motus, non producitur hic impetus. </s>
            </p>
            <p id="N17B67" type="main">
              <s id="N17B69">Quinta objectio; </s>
              <s id="N17B6C">ſi impetum ſuum intendit corpus graue; </s>
              <s id="N17B70">ſimiliter
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              Ignis diceretur intendere calorem; Sol lucem, &c. </s>
              <s id="N17B76">Reſpondeo primò de
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              luce ſingularem eſſe rationem; </s>
              <s id="N17B7C">quia ſcilicet conſeruatur à cauſa ſua pri­
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              mo productiua; quidquid ſit; </s>
              <s id="N17B82">ſi viderem effectum caloris, vel frigoris
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              perpetuò creſcere; </s>
              <s id="N17B88">haud dubiè dicerem etiam cauſas ipſas intendi; </s>
              <s id="N17B8C">atqui
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              hoc ipſum video in motu naturali, qui effectus impetus eſt; </s>
              <s id="N17B92">adde quod
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              argumentum à pari debile eſt; </s>
              <s id="N17B98">cum enim ſint diuerſi naturæ fines, diuer­
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              ſæ ſunt viæ quibus ſuos fines conſequítur; </s>
              <s id="N17B9E">denique contrarietas caloris,
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              & frigoris impedit fortè, ne vlterius vtraque qualitas intendatur, de qua
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              fusè ſuo loco; </s>
              <s id="N17BA6">porrò dicemus Tomo ſexto calorem conſeruari à cauſa ſua
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              primo productiua; quo poſito ceſſat difficultas; quod licèt alicui durum
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              videri poſſit, demonſtrabo tamen. </s>
            </p>
            <p id="N17BAE" type="main">
              <s id="N17BB0">Sexta objectio; igitur ſi ex infinita diſtantia lapis deſcenderet, inten­
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              deret etiam ſuum motum. </s>
              <s id="N17BB5">Reſpondeo primò, non poſſe dari infinitam il­
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              lam diſtantiam. </s>
              <s id="N17BBA">Secundò etiamſi daretur lapis, ex ea non caderet; </s>
              <s id="N17BBE">fruſtrà
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              enim eſſet ille motus: </s>
              <s id="N17BC4">Tertiò, ſi daretur motus infinitus, haud dubiè eſſet
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              æquabilis; </s>
              <s id="N17BCA">qualis eſt motus circularis corporum cœleſtium; </s>
              <s id="N17BCE">at verò
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              motus naturalis deorſum corporum grauium debet eſſe acceleratus ne
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              vel deſcenderent tardiùs, ſi cum primo tantùm velocitatis gradu deſcen­
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              derent; </s>
              <s id="N17BD8">vel ſuſtineri vix poſſent, ſi impetum innatum intentiorem habe­
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              rent; vtrum verò ſemper intendatur, & ex quacumque altitudine cadat
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              corpus graue, videbimus infrà. </s>
            </p>
            <p id="N17BE0" type="main">
              <s id="N17BE2">Ex dictis hactenus facilè refelluntur aliæ ſententiæ de proportione
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              motus naturaliter accelerati. </s>
            </p>
            <p id="N17BE7" type="main">
              <s id="N17BE9">Et primò quidem illa, quæ vult fieri ſecundum rationem ſinuum
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              verſorum, licèt initio tàm propè accedat ad proportionem Galilei, vt
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              diſcerni ſenſibiliter ab ea non poſſit; </s>
              <s id="N17BF1">quare tutò ſatis aſſumi po­
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              terit, ſi quando ſit opus illius loco, quod nos in explicandis motibus cœ­
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              leſtibus præſtabimus; </s>
              <s id="N17BF9">interim quia faciliùs explicatur in motu recto per
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              rationem quadratorum quàm ſinuum, illam retinebimus; </s>
              <s id="N17BFF">præſertim cùm
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              vtraque ad noſtram reducatur; modò progreſſio fiat in inſtantibus. </s>
              <s id="N17C05">
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              Secundò reiicitur ſententia illorum qui volunt hanc progreſſionem fie­
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              ri iuxta proportionem geometricam, quam vides in his numeris 1.2.4.8.
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              16. quæ licèt initio minùs recedat à vera, in progreſſu tamen multùm
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              aberrat, nec eſt vlla ratio quæ pro illa faciat: </s>
              <s id="N17C10">Et verò nulla in mentem
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              venire poteſt; niſi fortè dicatur, cùm ſecundo inſtanti ſit dupla velocitas,
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              tertio
                <expan abbr="ponẽdam">ponendam</expan>
              eſſe quadruplam, & 4°. </s>
              <s id="N17C1C">octuplam; </s>
              <s id="N17C1F">quia vt velocitas pri­
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              mi inſtantis eſt ad velocitatem ſecundi, ita velocitas huius ad velocita­
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              tem tertij, & velocitas huius ad velocitatem quarti; </s>
              <s id="N17C27">igitur ſequitur pro­
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              greſſionem rationis geometricæ duplæ; cur enim eſſet maior ratio pri­
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              mi inſtantis ad ſecundum quàm ſecundi ad tertium tertij ad quartum?
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              </s>
              <s id="N17C30">&c. </s>
              <s id="N17C33">ſed profectò vix vlla apparet rationis ſpecies, cùm nulla ſit cauſa, </s>
            </p>
          </chap>
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