Gravesande, Willem Jacob 's, Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1

List of thumbnails

< >
81
81 		82
82
83
83 		84
84 (39)
85
85 (40) 		86
86
87
87 		88
88
89
89 (41) 		90
90 (42)
< >
page |< < (39) of 824 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div300" type="section" level="1" n="99">
          <pb o="39" file="0079" n="84" rhead="MATHEMATICA. LIB. I. CAP. XI."/>
        </div>
        <div xml:id="echoid-div302" type="section" level="1" n="100">
          <head xml:id="echoid-head150" xml:space="preserve">CAPUT XI.</head>
          <p>
            <s xml:id="echoid-s1862" xml:space="preserve">De Axe in Peritrochio, ſecundâ Machinarum ſimplicium,
              <lb/>
            & </s>
            <s xml:id="echoid-s1863" xml:space="preserve">Rotis dentatis.</s>
            <s xml:id="echoid-s1864" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1865" xml:space="preserve">VEctis, ut in principio capitis præcedentis dictum, in-
              <lb/>
            ſervit ad elevanda pondera ad parvam altitudinem;
              <lb/>
            </s>
            <s xml:id="echoid-s1866" xml:space="preserve">quando altitudo major eſt, Axis in Peritrochio uſu venit.</s>
            <s xml:id="echoid-s1867" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div303" type="section" level="1" n="101">
          <head xml:id="echoid-head151" xml:space="preserve">
            <emph style="sc">Definitio</emph>
          </head>
          <p>
            <s xml:id="echoid-s1868" xml:space="preserve">Axis in Peritrochio vocatur rota cum axe volubilis.</s>
            <s xml:id="echoid-s1869" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">186.</note>
          <p>
            <s xml:id="echoid-s1870" xml:space="preserve">Potentia in hac machinâ applicatur peripheriæ rotæ, cu-
              <lb/>
              <note position="right" xlink:label="note-0079-02" xlink:href="note-0079-02a" xml:space="preserve">TAB. VI.
                <lb/>
              fig. 5.</note>
            jus motu funis, cui affixum eſt pondus, axi circumvolvitur,
              <lb/>
            quo pondus elevatur.</s>
            <s xml:id="echoid-s1871" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1872" xml:space="preserve">Sit a b rota; </s>
            <s xml:id="echoid-s1873" xml:space="preserve">d e axis; </s>
            <s xml:id="echoid-s1874" xml:space="preserve">p pondus elevandum; </s>
            <s xml:id="echoid-s1875" xml:space="preserve">m potentia;
              <lb/>
            </s>
            <s xml:id="echoid-s1876" xml:space="preserve">
              <note position="right" xlink:label="note-0079-03" xlink:href="note-0079-03a" xml:space="preserve">187.</note>
            hujus actione moveatur rota, puncta b & </s>
            <s xml:id="echoid-s1877" xml:space="preserve">d arcus ſimiles eo
              <lb/>
              <note position="right" xlink:label="note-0079-04" xlink:href="note-0079-04a" xml:space="preserve">TAB. VI.
                <lb/>
              fig. 6.</note>
            motu deſcribunt; </s>
            <s xml:id="echoid-s1878" xml:space="preserve">arcus illi ſunt viæ percurſæ à potentiâ & </s>
            <s xml:id="echoid-s1879" xml:space="preserve">
              <lb/>
            pondere, & </s>
            <s xml:id="echoid-s1880" xml:space="preserve">ſunt inter ſe, ut c b ad c d, id eſt ut rotæ dia-
              <lb/>
            meter ad axis diametrum, ex quo ſequensregula deducitur.</s>
            <s xml:id="echoid-s1881" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s1882" xml:space="preserve">Potentia eo plus valet, quo major eſt rota, & </s>
            <s xml:id="echoid-s1883" xml:space="preserve">illius actio
              <lb/>
              <note position="right" xlink:label="note-0079-05" xlink:href="note-0079-05a" xml:space="preserve">188.</note>
            creſcit in eâdem ratione cum rotæ diametro. </s>
            <s xml:id="echoid-s1884" xml:space="preserve">Pondus eo mi-
              <lb/>
            nus reſiſtit, quo axis diameter minor eſt, & </s>
            <s xml:id="echoid-s1885" xml:space="preserve">illius reſiſten-
              <lb/>
            tia in eadem ratione cum axis diametro minuitur. </s>
            <s xml:id="echoid-s1886" xml:space="preserve">Et ut de-
              <lb/>
            tur æquilibrium inter potentiam & </s>
            <s xml:id="echoid-s1887" xml:space="preserve">pondus, requiritur, ut
              <lb/>
            rotædiameter ſit ad axis diametrum, in ratione inverſa
              <lb/>
            potentiæ ad pondus .</s>
            <s xml:id="echoid-s1888" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0079-06" xlink:href="note-0079-06a" xml:space="preserve">112.</note>
            </s>
          </p>
          <p>
            <s xml:id="echoid-s1889" xml:space="preserve">Notandum, axis diametro funis diametrum eſſe addendum.</s>
            <s xml:id="echoid-s1890" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div307" type="section" level="1" n="102">
          <head xml:id="echoid-head152" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          1.</head>
          <p>
            <s xml:id="echoid-s1891" xml:space="preserve">Hæc regula diverſimodæ confirmatur ope Machinæ hìc
              <lb/>
              <note position="right" xlink:label="note-0079-07" xlink:href="note-0079-07a" xml:space="preserve">189.</note>
            delineatæ, in qua dantur rotæ & </s>
            <s xml:id="echoid-s1892" xml:space="preserve">axes variæ magnitudinis.
              <lb/>
            </s>
            <s xml:id="echoid-s1893" xml:space="preserve">
              <note position="right" xlink:label="note-0079-08" xlink:href="note-0079-08a" xml:space="preserve">TAB. VI
                <lb/>
              fig. 1</note>
            Quando axis diameter eſt pars duodecima rotæ diametri,
              <lb/>
            ſemilibra ſex libras ſuſtinet, & </s>
            <s xml:id="echoid-s1894" xml:space="preserve">ſic de cæteris.</s>
            <s xml:id="echoid-s1895" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1896" xml:space="preserve">Potentia poteſt etiam ſcytalæ applicari, ut in D, & </s>
            <s xml:id="echoid-s1897" xml:space="preserve">tunc
              <lb/>
            diſtantia puncti, cui applicatur, à centro, pro rotæ ſemi-
              <lb/>
            diametro habenda eſt.</s>
            <s xml:id="echoid-s1898" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1899" xml:space="preserve">Eodem omnino cum hac Machina nituntur fundamento
              <lb/>
            rotæ dentatæ reſpectu axis in peritrochio ſunt, quod
              <lb/>
            vectis compoſitus reſpectu vectis ſimplicis.</s>
            <s xml:id="echoid-s1900" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum