DelMonte, Guidubaldo, Mechanicorvm Liber

List of thumbnails

< >
121
121
122
122
123
123
124
124
125
125
126
126
127
127
128
128
129
129
130
130
< >
page |< < of 288 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N13F6F">
            <p id="id.2.1.205.1.0.0.0" type="main">
              <s id="id.2.1.205.1.1.1.0">
                <pb n="101" xlink:href="036/01/215.jpg"/>
              perpartientem inueniemus. </s>
              <s id="id.2.1.205.1.1.2.0">ſi enim C eſſet inferius, & in ipſo
                <lb/>
              appenſum eſſet pondus; B verò ſuperius, in quo eſſet potentia pon
                <lb/>
              dus in C ſuſtinens, eſſet potentia in B ſuperbipartiens ponderis
                <lb/>
              in C appenſi: cùm B ad A ſit,
                <expan abbr="vtquinq;">vt quinq;</expan>
              ad vnum; A verò ad
                <arrow.to.target n="note287"/>
                <lb/>
              C, vt vnum ad tria.
                <arrow.to.target n="note288"/>
              </s>
            </p>
            <p id="id.2.1.205.2.0.0.0" type="main">
              <s id="id.2.1.205.2.1.1.0">Si autem multiplicem ſuperparticularem in­
                <lb/>
              uenire voluerimus; vt proportio, quam habet
                <lb/>
              pondus ad potentiam pondus ſuſtinentem, ſit
                <lb/>
              duplex ſeſquialtera, vt quinq; ad duo. </s>
            </p>
            <p id="id.2.1.206.1.0.0.0" type="margin">
              <s id="id.2.1.206.1.1.1.0">
                <margin.target id="note287"/>
              18
                <emph type="italics"/>
              Huius.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.206.1.1.2.0">
                <margin.target id="note288"/>
              5
                <emph type="italics"/>
              Huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.207.1.0.0.0" type="main">
              <s id="id.2.1.207.1.1.1.0">Eodem modo, quo ſuperpartientes inuenimus, has quo­
                <lb/>
              que omnes multiplices ſuperparticulares reperiemus. </s>
              <s id="id.2.1.207.1.1.2.0">vt fiat
                <arrow.to.target n="note289"/>
                <lb/>
              pondus B ad potentiam in A, vt quinq; ad vnum; potentia ve
                <arrow.to.target n="note290"/>
                <lb/>
              ro in C ad potentiam in A, vt duo ad vnum; quod fiet, ſi fu­
                <lb/>
              nis ſit religatus in D, non autem trochleæ ſuperiori, vel in F: erit
                <lb/>
              pondus B ad potentiam in C, vt quinq; ad duo; hoc eſt duplum
                <lb/>
              ſeſquialterum. </s>
            </p>
            <p id="id.2.1.208.1.0.0.0" type="margin">
              <s id="id.2.1.208.1.1.1.0">
                <margin.target id="note289"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              9
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.208.1.1.2.0">
                <margin.target id="note290"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              15, 16,
                <emph type="italics"/>
              Huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.209.1.0.0.0" type="main">
              <s id="id.2.1.209.1.1.1.0">Et è conuerſo proportionem potentiæ ad pondus multiplicem
                <lb/>
              ſuperparticularem inueniemus; & vt in reliquis oſtendetur, ita eſ
                <lb/>
              ſe ſpatium potentiæ mouentis ad ſpatium ponderis, vt pondus
                <lb/>
              ad potentiam pondus ſuſtinentem. </s>
            </p>
            <p id="id.2.1.209.2.0.0.0" type="main">
              <s id="id.2.1.209.2.1.1.0">Omnem quoq; multiplicem ſuperpartientem
                <lb/>
              eodem modo inueniemus; vt ſi proportio, quam
                <lb/>
              habet pondus ad potentiam, ſit duplex ſuperbi
                <lb/>
              partiens, vt octo ad tria. </s>
            </p>
            <p id="id.2.1.209.3.0.0.0" type="main">
              <s id="id.2.1.209.3.1.1.0">Fiat potentia in A pondus B ſuſtinens ſuboctupla ponderis B;
                <arrow.to.target n="note291"/>
                <lb/>
              & potentia in C potentiæ in A ſit tripla; erit pondus B ad po
                <lb/>
              tentiam in C, vt octo ad tria. </s>
              <s id="id.2.1.209.3.1.2.0">& è conuerſo omnem potentiæ ad </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>