Stevin, Simon, Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis, 1605

List of thumbnails

< >
101
101 (101)
102
102 (102)
103
103 (103)
104
104 (104)
105
105 (105)
106
106 (106)
107
107 (107)
108
108 (108)
109
109
110
110 (110)
< >
page |< < (162) of 197 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div644" type="section" level="1" n="464">
          <pb o="162" file="527.01.162" n="162" rhead="A*DDITAMENTI* S*TATICÆ PARS PRIMA*"/>
        </div>
        <div xml:id="echoid-div646" type="section" level="1" n="465">
          <head xml:id="echoid-head493" xml:space="preserve">4 C*ONSECTARIVM*.</head>
          <p>
            <s xml:id="echoid-s4737" xml:space="preserve">Verumenimverò ut propiùs ad ra-
              <lb/>
            tionem ponderum è funibus depen-
              <lb/>
              <figure xlink:label="fig-527.01.162-01" xlink:href="fig-527.01.162-01a" number="217">
                <image file="527.01.162-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.162-01"/>
              </figure>
            dentium accedamus; </s>
            <s xml:id="echoid-s4738" xml:space="preserve">columna A B
              <lb/>
            paulum infra deſcĕdat utin hâc figu-
              <lb/>
            râ, & </s>
            <s xml:id="echoid-s4739" xml:space="preserve">per 3 poſtulatum hoc loco non
              <lb/>
            erit ponderis diverſi ab antecedente,
              <lb/>
            ubi ſublimiùs pendebat. </s>
            <s xml:id="echoid-s4740" xml:space="preserve">Itaque etiam
              <lb/>
            proportio 3 conſectario expoſita in
              <lb/>
            hoc 4 ſine ulla varietate etiamnum
              <lb/>
            permanet.</s>
            <s xml:id="echoid-s4741" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div648" type="section" level="1" n="466">
          <head xml:id="echoid-head494" xml:space="preserve">5 C*ONSECTARIVM*.</head>
          <p>
            <s xml:id="echoid-s4742" xml:space="preserve">Tandem in locum columnæ 4 conſectarii aliud pondus ipſi æquale ſubſtitui-
              <lb/>
            tor, ſed formæ & </s>
            <s xml:id="echoid-s4743" xml:space="preserve">gravitatis materiæ cujuſliber, ut hîc AB. </s>
            <s xml:id="echoid-s4744" xml:space="preserve">atque etiamnum
              <lb/>
            ratum eſt, & </s>
            <s xml:id="echoid-s4745" xml:space="preserve">perſpicuum C I eſſe ad
              <lb/>
              <figure xlink:label="fig-527.01.162-02" xlink:href="fig-527.01.162-02a" number="218">
                <image file="527.01.162-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.162-02"/>
              </figure>
            C H, ut pondus A B ad partem quæ
              <lb/>
            pertinet ad D. </s>
            <s xml:id="echoid-s4746" xml:space="preserve">Item ut C I ad I H,
              <lb/>
            ſic pondus A B ad id quod ex E
              <lb/>
            ſuſtinetur, denique ut C H ad HI
              <lb/>
            ſic pondus ex D ad id quod ex E.</s>
            <s xml:id="echoid-s4747" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4748" xml:space="preserve">Vnde in promptu erit, ſi ex D C E
              <lb/>
            tanquam fune dependeat notũ pon-
              <lb/>
            dus AB, notiq́ue ſint anguli F C D,
              <lb/>
            F C E, concludere quantum ponderis quilibet iſtorum DC, CE perferat.</s>
            <s xml:id="echoid-s4749" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div650" type="section" level="1" n="467">
          <head xml:id="echoid-head495" xml:space="preserve">6 C*ONSECTARIVM*.</head>
          <p>
            <s xml:id="echoid-s4750" xml:space="preserve">Si verò eodem modo è lineis duo pluravé pondera dependeant, ut in ſubje-
              <lb/>
            ctâ figurâ A B C D E F, cujus extima firmitudinis puncta ſint A, F, è qua li-
              <lb/>
            nea quatuor pondera G, H, I, K ſuſpenſa ſint, etiam ponderis potentiam ab il-
              <lb/>
              <figure xlink:label="fig-527.01.162-03" xlink:href="fig-527.01.162-03a" number="219">
                <image file="527.01.162-03" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.162-03"/>
              </figure>
            larum quinque linearum ſingulis AB, BC, CD, DE, EF dependentem
              <lb/>
            inveniri poſſe manifeſtum eſt: </s>
            <s xml:id="echoid-s4751" xml:space="preserve">namq́ue cõtinuata ſurſum dicis gratiâ, G B in </s>
          </p>
        </div>
      </text>
    </echo>