Fabri, Honoré, Tractatus physicus de motu locali, 1646

List of thumbnails

< >
131
131
132
132
133
133
134
134
135
135
136
136
137
137
138
138
139
139
140
140
< >
page |< < of 491 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N1A407">
            <p id="N1BB40" type="main">
              <s id="N1BB42">
                <pb pagenum="178" xlink:href="026/01/210.jpg"/>
                <emph type="italics"/>
              mixto
                <emph.end type="italics"/>
              ; probatur, quia duplex impetus concurrit ad illum motum, ſcilicet
                <lb/>
              naturalis deorſum, & horizontalis impreſſus à naui, vt conſtat ex defini­
                <lb/>
              tione 1.hyp.2. & Ax.1. </s>
            </p>
            <p id="N1BB58" type="main">
              <s id="N1BB5A">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              77.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1BB66" type="main">
              <s id="N1BB68">
                <emph type="italics"/>
              Ille motus eſt mixtus ex naturali accelerato, & violento per horizontalem
                <lb/>
              retardato
                <emph.end type="italics"/>
              ; quod eodem modo probatur, quo ſuprà probatum eſt in mobi­
                <lb/>
              li proiecto per horizontalem Th.30. eſt enim prorſus eadem, cum à na­
                <lb/>
              ui reuera imprimatur impetus iis omnibus, quæ motu nauis fe­
                <lb/>
              runtur. </s>
            </p>
            <p id="N1BB79" type="main">
              <s id="N1BB7B">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              78.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1BB87" type="main">
              <s id="N1BB89">
                <emph type="italics"/>
              Hinc reiicio omnes alias combinationes recepta ſexta; </s>
              <s id="N1BB8F">immò ſextam
                <lb/>
              ipſam ex parte
                <emph.end type="italics"/>
              ; nec enim naturalis acceleratur in hoc motu in ea
                <lb/>
              proportione, in qua acceleratur per lineam perpendicularem deor­
                <lb/>
              ſum per Th. 29.ſed iuxta rationem planorum inclinatorum per Theo­
                <lb/>
              rema 31. nec etiam violentus deſtruitur vniformiter, ſed pro rata per
                <lb/>
              Th. 39. </s>
            </p>
            <p id="N1BBA0" type="main">
              <s id="N1BBA2">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              79.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1BBAE" type="main">
              <s id="N1BBB0">
                <emph type="italics"/>
              Hinc initio plùs detrahitur violenti, & minùs additur naturalis, in
                <lb/>
              fine plùs additur naturalis & minùs detrahitur violenti
                <emph.end type="italics"/>
              ; hinc minor eſt
                <lb/>
              ictus in fine niſi malus nauis ad eam altitudinem aſcenderet, ad quam
                <lb/>
              profectò nullus aſcendit, quæ omnia conſtant per Theorema 34.
                <lb/>
              35. 36. </s>
            </p>
            <p id="N1BBC1" type="main">
              <s id="N1BBC3">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              80.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1BBCF" type="main">
              <s id="N1BBD1">
                <emph type="italics"/>
              Hinc ratio curuitatis huius lineæ, vel hypotheſis ſecundæ
                <emph.end type="italics"/>
              ; </s>
              <s id="N1BBDA">quæ tamen non
                <lb/>
              eſt Parabola vt volunt aliqui; </s>
              <s id="N1BBE0">hinc non eo tempore deſcendit in nauim
                <lb/>
              prædictus globus, quo deſcenderet per ipſam perpendicularem motu
                <lb/>
              purè naturali ex eadem altitudine, ſed maiore tempore; quia motu mix­
                <lb/>
              to non acceleratur iuxta proportionem motus naturalis puri per Th.
                <lb/>
              77. quod confirmatur illis omnibus experimentis, quæ ſuprà adduxi
                <lb/>
              Th. 46. </s>
            </p>
            <p id="N1BBF1" type="main">
              <s id="N1BBF3">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              81.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1BBFF" type="main">
              <s id="N1BC01">
                <emph type="italics"/>
              Hinc ſi nauis moueretur eadem velocitate, qua funis arcus cum re­
                <lb/>
              dit, eſſetque aptata ſagitta, & directa horizontaliter in naui; </s>
              <s id="N1BC09">haud
                <lb/>
              dubiè ſi poſt aliquod tempus ſtaret illicò immota nauis: </s>
              <s id="N1BC0F">emitteretur ſa­
                <lb/>
              gita, non minore certè vi quàm ab ipſo arcu
                <emph.end type="italics"/>
              ; </s>
              <s id="N1BC18">hinc etiam cum
                <lb/>
              nauis appellitur ad littus, ſi ſtatim ſubſiſtat; </s>
              <s id="N1BC1E">omnia quæ ſunt in
                <lb/>
              naui ſuccutiuntur &
                <expan abbr="pleriq;">plerique</expan>
              cadunt incauti in partem aduerſam propter </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>