Jordanus de Nemore, [Liber de ratione ponderis], 1565
page |< < of 32 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <subchap1>
              <p>
                <s id="id.2.10.02.02">
                  <pb xlink:href="049/01/016.jpg"/>
                </s>
              </p>
            </subchap1>
            <subchap1>
              <p>
                <s id="id.2.11.00.01">Quaestio decima.
                  <lb/>
                </s>
              </p>
            </subchap1>
          </chap>
          <chap>
            <subchap1>
              <p>
                <figure id="id.049.01.016.1.jpg" xlink:href="049/01/016/1.jpg" number="21"/>
              </p>
            </subchap1>
            <subchap1>
              <p>
                <s id="id.2.11.01.01">Si per diuersarum obliquitatum uias duo pondera descen­
                  <lb/>
                dant, fiantque declinationum, et ponderum vna proportio, eo­
                  <lb/>
                dem ordine sumpta vna erit utriusque uirtus in descendendo.
                  <lb/>
                </s>
              </p>
              <p>
                <s id="id.2.11.02.01">Sit linea a, b, c, aequedistans orizonti, et super
                  <lb/>
                eam orthogonaliter erecta sit b, d, á qua descen
                  <lb/>
                dant hinc, inde lineae d, a, d, c, sitque d, c, maioris
                  <lb/>
                obliquitatis proportione igitur declinationum dico
                  <lb/>
                non angulorum, sed linearum usque ad aequedistan
                  <lb/>
                tem resecationem, in qua aequaliter sumunt de dire
                  <lb/>
                cto. </s>
                <s id="id.2.11.02.02">Sit ergo e, pondus super d, c, et h, super d, a, et
                  <lb/>
                sit e, ad b, sicut d, c, ad a, d. </s>
                <s id="id.2.11.02.03">Dico ea pondera esse vni­
                  <lb/>
                us uirtutis in hoc situ, sit enim d, k, linea vnius ob­
                  <lb/>
                liquitatis, cum d, c, et pondus super eam. </s>
                <s id="id.2.11.02.04">ergo aequa
                  <lb/>
                le est e, quae sit 6. </s>
                <s id="id.2.11.02.05">Si igitur possibile est, descendat e,
                  <lb/>
                in l, et trahat h, in m, sitque 6, n, aequale h, m, quod
                  <lb/>
                etiam aequale est e, l, et transeat per 6. et h, perpen
                  <lb/>
                dicularis, super d, b. </s>
                <s id="id.2.11.02.06">Sitque 6, h, y, et ab 1, sit l, t, sunt
                  <lb/>
                et tunc super 6, h, y, n, z, m, x, et super l, t, erit e, r,
                  <lb/>
                quia igitur proportio n, z, ad n, 6, sicut ad d, 6, d, y,
                  <lb/>
                propter similitudinem triangulorum, et ideo sicut
                  <lb/>
                d, b, ad d, k, et quia similiter m, x, ad m, h, sicut d,
                  <lb/>
                b, ad d, a. </s>
                <s id="id.2.11.02.07">Erit propter aequalem proportionalitatem per
                  <lb/>
                turbata m, x, ad n, z, sicut d, k, ad d, a, et hoc est
                  <lb/>
                sicut 6, ad h, sed quia r, e, non sufficit attollere 6, in
                  <lb/>
                n, nec sufficiet attollere m, in m, sic ergo manebunt.
                  <lb/>
                </s>
              </p>
            </subchap1>
            <subchap1>
              <p>
                <s id="id.2.12.00.01">Quaestio vndecima.
                  <lb/>
                </s>
              </p>
            </subchap1>
          </chap>
          <chap>
            <subchap1>
              <p>
                <s id="id.2.12.01.01">Quum sit responsa libre vnius ponderis,
                  <lb/>
                et grossiciei per totum: et ipsa in pondere
                  <lb/>
                data super inaequalia diuidatur, atque ex
                  <lb/>
                parte breuiore dependeat aequabiliter pon­
                  <lb/>
                dus datum, erunt et portiones, et regulae,
                  <lb/>
                quae sunt a centro examinis similiter datae.
                  <lb/>
                </s>
              </p>
              <p>
                <s id="id.2.12.02.01">Sit responsa a, b, c, data in pondere, et aequalis in grossicie, et dependeat</s>
              </p>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>