Fabri, Honoré, Tractatus physicus de motu locali, 1646

List of thumbnails

< >
141
141
142
142
143
143
144
144
145
145
146
146
147
147
148
148
149
149
150
150
< >
page |< < of 491 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N1A407">
            <p id="N1BEA0" type="main">
              <s id="N1BEA2">
                <pb pagenum="182" xlink:href="026/01/214.jpg"/>
              bili, quod vt breuiter ob oculos ponatur ſit malus nauis mobilis IA,
                <lb/>
              quæ eo tempore, quo corpus graue deſcendit ab A in D motu naturali,
                <lb/>
              percurrit FG æquabili motu, & conſequenter GI æqualem FG eo tem­
                <lb/>
              pore, quo idem corpus graue percurrit DF triplam AD; </s>
              <s id="N1BEB5">igitur globus
                <lb/>
              demiſſus ex A ſuo motu deſcribit Parabolam AEH; quod etiam accidet
                <lb/>
              aſſumpta quacunque altitudine mali vel quocunque ſpatio confecto à
                <lb/>
              naui mobili eo tempore, quo corpus graue motu naturali accelerato
                <lb/>
              conficit ſpatium æquale altitudini mali. </s>
            </p>
            <p id="N1BEC1" type="main">
              <s id="N1BEC3">Octauò, non eſt tamen diſſimulandum, quod etiam non diſſimulauit
                <lb/>
              Merſennus, talem non fore deſcenſum, ſi nauis v. g. eadem cum emiſſa
                <lb/>
              ſagitta, vel exploſa è tormento glande velocitate moueretur; </s>
              <s id="N1BECF">non quod
                <lb/>
              aër vel medium obſiſtat, vt ipſi dicunt; </s>
              <s id="N1BED5">hoc enim iam ſuprà rejecimus; </s>
              <s id="N1BED9">
                <lb/>
              ſed quod major impetus violentus efficiat, vt iam ſuprà dictum eſt, ne in
                <lb/>
              tanta proportione naturalis acceleretur; </s>
              <s id="N1BEE0">quod etiam ſuo boatu intonant
                <lb/>
              tormenta maiora, è quibus horizontaliter directis exploſæ pilæ per plu­
                <lb/>
              ra ſecunda in libero aëre moueantur, licèt os tormenti à plano horizon­
                <lb/>
              tis vix tribus pedibus abſit; </s>
              <s id="N1BEEA">igitur non deſcribunt ſuo motu Parabolas; </s>
              <s id="N1BEEE">
                <lb/>
              hinc ſub finem minor eſt ictus; hinc etiam fatetur idem Merſennus ſe­
                <lb/>
              cundum ſpatium horizontale confici tardiore motu quàm primum &
                <lb/>
              tertium quàm ſecundum, atque ita deinceps. </s>
            </p>
            <p id="N1BEF7" type="main">
              <s id="N1BEF9">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              83.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1BF05" type="main">
              <s id="N1BF07">
                <emph type="italics"/>
              Si corpus graue proiiciatur ſurſum perpendiculariter è naui mobili, ſunt tres
                <lb/>
              impetus qui concurrunt ad illum motum
                <emph.end type="italics"/>
              ſit enim nauis mobilis per hori­
                <lb/>
              zontalem LF, è qua ſurſum rectâ per lineam perpendicularem LA pro­
                <lb/>
              iiciatur corpus graue; </s>
              <s id="N1BF16">huic certè ineſt triplus impetus, ſcilicet duo vio­
                <lb/>
              lenti, alter per verticalem LA impreſſus à proiiciente; </s>
              <s id="N1BF1C">alter per horizon­
                <lb/>
              talem LF impreſſus à naui; </s>
              <s id="N1BF22">tertius denique naturalis per ipſam perpen­
                <lb/>
              dicularem deorſum LP; </s>
              <s id="N1BF28">igitur tres iſti impetus ſuo modo concurrunt
                <lb/>
              ad motum per Ax.1.certè ſi ineſſent tantùm duo impetus ſcilicet LA, &
                <lb/>
              LF, motus fieret per inclinatam rectam LC; </s>
              <s id="N1BF30">vel ſi tantùm duo LP, &
                <lb/>
              LA fieret per ipſam LA motus retardatus; </s>
              <s id="N1BF36">vel ſi LF & LP fieret per
                <lb/>
              curuam deorſum, vt conſtat ex dictis; igitur per aliam lineam fieri de­
                <lb/>
              bet ad quam tres illi impetus concurrunt. </s>
            </p>
            <p id="N1BF3E" type="main">
              <s id="N1BF40">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              84.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1BF4C" type="main">
              <s id="N1BF4E">
                <emph type="italics"/>
              Tam pugnat impetus naturalis per LP cum verticali LA quando eſt con­
                <lb/>
              junctus cum horizontali LF, quàm cum nullus eſt horizontalis,
                <emph.end type="italics"/>
              probatur,
                <lb/>
              quia ſemper mobile deorſum trahit, vt patet. </s>
            </p>
            <p id="N1BF5A" type="main">
              <s id="N1BF5C">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              85.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1BF68" type="main">
              <s id="N1BF6A">
                <emph type="italics"/>
              Hinc naturalis eſt æquabilis, & violentus ſurſum eſt retardatus; </s>
              <s id="N1BF70">horizon­
                <lb/>
              talis verò eſt æquabilis ſaltem æquiualenter
                <emph.end type="italics"/>
              ; </s>
              <s id="N1BF79">quia cum illo non pugnat ho­
                <lb/>
              rizontalis, in aſcenſu ſaltem perinde ſe habet; </s>
              <s id="N1BF7F">immò cum illo conuenit
                <lb/>
              ad deſtruendum violentum ſurſum, id eſt ad deflectendum deorſum
                <lb/>
              mobile vt conſtat; </s>
              <s id="N1BF87">igitur hic motus conſtat ex naturali & horizontali </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>