Iordanus <Nemorarius>, Iordani opusculum de ponderositate

List of thumbnails

< >
21
21 		22
22
23
23 		24
24
25
25 		26
26
27
27 		28
28
29
29 		30
30
< >
page |< < of 46 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <subchap1>
              <p>
                <s id="id.2.27.02.02">
                  <pb xlink:href="049/01/026.jpg"/>
                </s>
              </p>
            </subchap1>
            <subchap1>
              <p>
                <s id="id.2.28.00.01">Quaestio vigesimaseptima.
                  <lb/>
                </s>
              </p>
            </subchap1>
          </chap>
          <chap>
            <subchap1>
              <p>
                <s id="id.2.28.01.01">Quolibet ponderoso ab aequalitate ad directionem eleua­
                  <lb/>
                to secundum mensuram substinentis in omni positione pon­
                  <lb/>
                dus ipsius determinari est possibile.
                  <lb/>
                </s>
              </p>
              <p>
                <s id="id.2.28.02.01">
                  <figure id="id.049.01.026.1.jpg" xlink:href="049/01/026/1.jpg" number="37"/>
                  <figure id="id.049.01.026.2.jpg" xlink:href="049/01/026/2.jpg" number="38"/>
                Sit a, b, ponderosum, et sit ubique aequa
                  <lb/>
                liter ponderis situm aequaliter et fixo
                  <lb/>
                b, eleuetur in a, donec directum sit c,
                  <lb/>
                b, mota a, quae suo describat quartam cir­
                  <lb/>
                culi ab a, in c, sitque situs aequalitatis pri­
                  <lb/>
                mus directionis dicatur ultimus, et quando di
                  <lb/>
                uidit arcum a, c, per aequalia, sic ipsa b, d, et
                  <lb/>
                situs medius, et quum eleuatum fuerit secun
                  <lb/>
                dum mensurarum substinentis, sit b, e, et per­
                  <lb/>
                pendicularis e, l, sit pro eleuante, et sit hic
                  <lb/>
                situs secundus. </s>
                <s id="id.2.28.02.02">In situ uero .3. sit b, f, sitque
                  <lb/>
                arcus f, d, aequaliter d, e, dico igitur ipsum
                  <lb/>
                semper leuius fieri usque in f, aeque graue
                  <lb/>
                ut in e, et inde item semper leuius usque
                  <lb/>
                ad c, possibile alius leuius esse in a, quam in
                  <lb/>
                d, et grauius, et aeque graue pro quanti­
                  <lb/>
                tate e, l, sit enim g, h, aequaliter e, l, ut or­
                  <lb/>
                thogonaliter erecta, donec contingat d, b,
                  <lb/>
                in h, et dimittatur d, k, recte super a, b. </s>
                <s id="id.2.28.02.03">Si
                  <lb/>
                igitur g, fuerit in medio a, b, tunc g, h, ae­
                  <lb/>
                quum erit eius dimidio, scilicet dimidio a,
                  <lb/>
                b, quia é aequale g, b, quum sit d, b, in d, ad
                  <lb/>
                pondus a, b, sicut linea b, k, ad b, a, atque
                  <lb/>
                pondus eius in d, ad pondus eius in h, ut b,
                  <lb/>
                g, ad b, k, quum sit b, g, ad b, k,
                  <lb/>
                sicut b, k, ad b, a, quia sunt consequenter proportio­
                  <lb/>
                nali erit pondus d, b, in h, tanquam pon­
                  <lb/>
                dus a, b, quia habent eadem proportionem
                  <lb/>
                ad pondus d, b, in a, quod si g, sit uersus b,
                  <lb/>
                erit in h, maius pondus, quam in a, si uero
                  <lb/>
                uersus a minus sit, item in u, perpendicu­
                  <lb/>
                laris aequaliter e, l, quia b, k, haberet ma
                  <lb/>
                ior proportio ad b, g, quam ab ad b, k, et</s>
              </p>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum