Fabri, Honoré, Tractatus physicus de motu locali, 1646

Page concordance

< >
Scan Original
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
< >
page |< < of 491 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N1EE3A">
            <p id="N20A4E" type="main">
              <s id="N20A65">
                <pb pagenum="262" xlink:href="026/01/296.jpg"/>
              Secundus primus motus orbis, quo ſcilicet primum in parietem illiſa eſt,
                <lb/>
              Tertius motus orbus mixtus, quo ex pariete reſiſtit; </s>
              <s id="N20A6F">Quartus denique
                <lb/>
              motus orbis, quo mouetur poſt quàm à pauimento repercuſſa eſt, exem­
                <lb/>
              plum habes in pila rotata per planum horizontale, quæ obliquè in aduer­
                <lb/>
              ſum planum impingitur; </s>
              <s id="N20A79">ſtatim enim obſeruas nouum motum orbis mix­
                <lb/>
              tum ex priori & nouo, in quo eſt quidem maxima difficultas; ſed de his
                <lb/>
              motibus mixtis agemus infrà lib. 9. </s>
            </p>
            <p id="N20A81" type="main">
              <s id="N20A83">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              76.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N20A8F" type="main">
              <s id="N20A91">
                <emph type="italics"/>
              Cum pila emittitur rotato ſurſum pilari reticulo ſaltus vt plurimùm fallit,
                <lb/>
              ſecus verò ſi emittatur reticulo deorſum acto
                <emph.end type="italics"/>
              ; </s>
              <s id="N20A9C">ratio eſt, quia in primo caſu
                <lb/>
              motus orbis pilæ eſt contrarius motui centri, vt patet; inde fraus ſaltus,
                <lb/>
              ſecus verò in ſecundo caſu. </s>
            </p>
            <p id="N20AA4" type="main">
              <s id="N20AA6">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              77.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N20AB2" type="main">
              <s id="N20AB4">
                <emph type="italics"/>
              Cum pila velociſſimè ita emittitur, vt linea incidentiæ faciat angulum acu­
                <lb/>
              tiſſimum cum pauimento, nullus ferè eſt ſaltus
                <emph.end type="italics"/>
              ; </s>
              <s id="N20ABF">quia cum parùm valeat vis
                <lb/>
              reflexiua ad angulum acutiſſimum; </s>
              <s id="N20AC5">quia prior determinatio ferè præua­
                <lb/>
              let, & remanet tota, non quidem intacta, ſed vix ſaucia; </s>
              <s id="N20ACB">determinatio
                <lb/>
              motus orbis, qui promouet motum centri, iuuat priorem determina­
                <lb/>
              tionem motus centri; igitur vel nullus, vel modicus, iſque celerrimus
                <lb/>
              fit ſaltus. </s>
            </p>
            <p id="N20AD5" type="main">
              <s id="N20AD7">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              78.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N20AE3" type="main">
              <s id="N20AE5">
                <emph type="italics"/>
              Cum pila cadit obliqua linea in pauimentum non longo à pariete interuallo,
                <lb/>
              in quem linea ſurſum inclinata poſt ſaltum ſtatim impingitur longè altiùs
                <lb/>
              aſcendit pilæ ſaltus,
                <emph.end type="italics"/>
              ratio petitur à noua reflexione, quod facilè eſt. </s>
            </p>
            <p id="N20AF1" type="main">
              <s id="N20AF3">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              79.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N20AFF" type="main">
              <s id="N20B01">
                <emph type="italics"/>
              Cum pila obliquè cadit in iuncturam parietis & pauimenti, non reflectitur,
                <lb/>
              & tunc maximè fallit ſaltus
                <emph.end type="italics"/>
              ; </s>
              <s id="N20B0C">ratio eſt, quia eſt duplex punctum conta­
                <lb/>
              ctus; </s>
              <s id="N20B12">igitur determinationum nouarum conflictus; </s>
              <s id="N20B16">quippè paries verſus
                <lb/>
              pauimentum; </s>
              <s id="N20B1C">hoc verò verſus parietem repellit; igitur tantùm ſupereſt,
                <lb/>
              vt in pauimento rotetur ſine ſaltu, quod accidit ad omnem angulum in­
                <lb/>
              cidentiæ obliquum, vt patet experientiâ, cuius ratio communis eſt. </s>
            </p>
            <p id="N20B24" type="main">
              <s id="N20B26">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              80.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N20B32" type="main">
              <s id="N20B34">
                <emph type="italics"/>
              Cum leniore affrictu pilæ funis perstringitur vel, vt aiunt, crispatur, ſaltus
                <lb/>
              etiam ludentis manum frustratur
                <emph.end type="italics"/>
              ; quia motus orbis mutatur in illo funis
                <lb/>
              incuſſu, vt patet. </s>
            </p>
            <p id="N20B41" type="main">
              <s id="N20B43">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              81.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N20B4F" type="main">
              <s id="N20B51">
                <emph type="italics"/>
              Denique, cum reticulo motus orbis is a intorquetur, vt vel circulo horizon­
                <lb/>
              tali, vel alteri inclinato ſit parallelus, ſaltus pilæ fallaciæ ſubeſt
                <emph.end type="italics"/>
              ; </s>
              <s id="N20B5C">quippe à
                <lb/>
              priori determinatione motus orbis tuebatur; </s>
              <s id="N20B62">omitto inæqualitatem pa­
                <lb/>
              uimenti, quæ ſaltum pilæ ſæpiſſimè à ſua linea detorquet; ſed fortè ſatis
                <lb/>
              luſum eſt. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum