Fabri, Honoré, Tractatus physicus de motu locali, 1646

Page concordance

< >
< >
page |< < of 491 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N22A20">
            <p id="N24746" type="main">
              <s id="N24750">
                <pb pagenum="328" xlink:href="026/01/362.jpg"/>
              rè tempore peraguntur; </s>
              <s id="N24759">ſunt enim vibrationes eiuſdem funependuli; </s>
              <s id="N2475D">
                <lb/>
              quippe licèt minor vibratio minore tempore fiat; </s>
              <s id="N24762">illud tamen ſenſu diſ­
                <lb/>
              cerni non poteſt, niſi in ſerie multarum vibrationum; </s>
              <s id="N24768">atqui GR perfici­
                <lb/>
              tur æquali tempore, ſiue pendulum deſcendat ex V; ſiue ex Y; </s>
              <s id="N2476E">acquiritur
                <lb/>
              enim æqualis impetus vtroque modo; </s>
              <s id="N24774">ſed aſcenſus GR fieret æquali
                <lb/>
              tempore cum deſcenſu YG; </s>
              <s id="N2477A">hic verò breuiore, quàm VG, vt patet; ſunt
                <lb/>
              enim numeri vibrationum, vt radices longitudinum. </s>
            </p>
            <p id="N24780" type="main">
              <s id="N24782">Obſeruabis denique poſſe funependulum, PG ſolidum demitti ex A,
                <lb/>
              ſi tantillùm inclinctur; fed de hoc funependulorum genere agemus
                <lb/>
              infrà. </s>
            </p>
            <p id="N2478A" type="main">
              <s id="N2478C">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              29.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N24798" type="main">
              <s id="N2479A">
                <emph type="italics"/>
              Funependulum in fine aſcenſus non quieſcit vno inſtanti
                <emph.end type="italics"/>
              ; </s>
              <s id="N247A3">quia numquam
                <lb/>
              ad perfectam æqualitatem peruenitur; quod eodem modo probatur,
                <lb/>
              quo ſuprà l. 3. eſt enim par ratio. </s>
            </p>
            <p id="N247AD" type="main">
              <s id="N247AF">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              30.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N247BB" type="main">
              <s id="N247BD">
                <emph type="italics"/>
              Figura penduli multum facit ad motum vibrationis
                <emph.end type="italics"/>
              : </s>
              <s id="N247C6">ſphærica omnium
                <lb/>
              ferè aptiſſima eſt præter Conchoidem, & eam, quæ conſtaret ex duobus
                <lb/>
              conis in communi baſi coniunctis, vel in gemina pyramide; ratio conſtat
                <lb/>
              ex cis, quæ diximus de motu naturali. </s>
            </p>
            <p id="N247D0" type="main">
              <s id="N247D2">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              31.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N247DE" type="main">
              <s id="N247E0">
                <emph type="italics"/>
              Funis multùm etiam facit
                <emph.end type="italics"/>
              ; </s>
              <s id="N247E9">omnium optimus eſt tenuiſſimus, qui ſci­
                <lb/>
              licet faciliùs aëra ſecat; </s>
              <s id="N247EF">nec enim dubium eſt, quin huic diuiſioni reſiſtat
                <lb/>
              aër, cuius reſiſtentiæ analogiam videmus in aqua, quam funis oblongus
                <lb/>
              non niſi cum ſenſibili reſiſtentia diuidit, vt videre eſt in iis funibus, qui­
                <lb/>
              bus ab equis naues trahuntur; </s>
              <s id="N247F9">aliqui adhibent ductum auri filum; </s>
              <s id="N247FD">ſed
                <lb/>
              vnum præſertim obſeruandum eſt, ſcilicet ne præ nimia tenuitate maio­
                <lb/>
              ris fortè vi ponderis vlterius ducatur, vel dilatetur; </s>
              <s id="N24805">vtrumque enim mo­
                <lb/>
              tum vibrationis retardat: </s>
              <s id="N2480B">immò pendulum ipſum non deſcriberet ſemi­
                <lb/>
              circulum; an verò ſemiellypſim vt volunt aliqui, definiemus ſuo loco,
                <lb/>
              cum de lineis motus. </s>
            </p>
            <p id="N24813" type="main">
              <s id="N24815">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              32.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N24821" type="main">
              <s id="N24823">
                <emph type="italics"/>
              Pondus funependuli multùm facit ad vibrationis motum
                <emph.end type="italics"/>
              ; </s>
              <s id="N2482C">ſi enim granu­
                <lb/>
              lum plumbeum appendatur, vix ſuperabit reſiſtentiam funis, qui vt vi­
                <lb/>
              bretur, optimè tenſus eſſe debet; atqui notabili pondere tendi tantùm
                <lb/>
              poteſt. </s>
            </p>
            <p id="N24836" type="main">
              <s id="N24838">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              33.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N24844" type="main">
              <s id="N24846">
                <emph type="italics"/>
              Materia funependuli multùm etiam facit ad vibrationis motum ſuppoſita
                <lb/>
              ſcilicet eadem figura
                <emph.end type="italics"/>
              ; </s>
              <s id="N24851">quippe tam leuis eſſe poſſet materia, vt nec aëris
                <lb/>
              vim nec funis reſiſtentiam ſuperaret: </s>
              <s id="N24857">hinc globus ſubereus vel è ſambu­
                <lb/>
              cea medulla conſtans, tardiùs deſcendit, quàm plumbeus; </s>
              <s id="N2485D">habes apud
                <lb/>
              Merſennum has proportiones; </s>
              <s id="N24863">globus plumbeus pendulus fune pedum
                <lb/>
              3. 1/2 è ſummo quadrantis arcu demiſſus aſcendit per arcum oppoſitum </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>