DelMonte, Guidubaldo, Mechanicorvm Liber

List of thumbnails

< >
91
91
92
92
93
93
94
94
95
95
96
96
97
97
98
98
99
99
100
100
< >
page |< < of 288 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N128CF">
            <p id="id.2.1.73.2.0.0.0" type="main">
              <s id="id.2.1.73.2.1.2.0">
                <pb n="39" xlink:href="036/01/091.jpg"/>
              & ideo maior quoq; erit proportio ponderis D ad pondus G,
                <lb/>
              quàm idem D ad E: pondus igitur G minus erit pondere E. cùm
                <arrow.to.target n="note126"/>
                <lb/>
              autem potentia in B ipſi G æqualis ponderi D æqueponderet, mi­
                <lb/>
              nor potentia, quàm ea, quæ ponderi E eſt æqualis, pondus D ſu
                <lb/>
              ſtinebit; exiſtente vecte AB, eius verò fulcimento vbi F, quàm ſi
                <lb/>
              fuerit vbi C. ſimiliter quoq; oſtendetur, quò propius erit fulci­
                <lb/>
              mentum ponderi D, adhuc ſemper minorem requiri potentiam
                <lb/>
              ad ſuſtinendum pondus D. </s>
            </p>
            <p id="id.2.1.74.1.0.0.0" type="margin">
              <s id="id.2.1.74.1.1.1.0">
                <margin.target id="note124"/>
                <emph type="italics"/>
              Ex eadem Sexta.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.74.1.1.2.0">
                <margin.target id="note125"/>
                <emph type="italics"/>
              Lemma.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.74.1.1.3.0">
                <margin.target id="note126"/>
              10
                <emph type="italics"/>
              Quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.75.1.0.0.0" type="head">
              <s id="id.2.1.75.1.1.1.0">COROLLARIVM. </s>
            </p>
            <p id="id.2.1.75.2.0.0.0" type="main">
              <s id="id.2.1.75.2.1.1.0">Vnde palàm colligere licet, exiſtente AF ipſa
                <lb/>
              FB minore, minorem quoq; requiri potentiam
                <lb/>
              in ipſo B pondere D ſuſtinendo. </s>
              <s id="id.2.1.75.2.1.2.0">æquali verò
                <lb/>
              æqualem. </s>
              <s id="N129F8">maiore verò maiorem. </s>
            </p>
            <p id="id.2.1.75.3.0.0.0" type="head">
              <s id="id.2.1.75.3.1.1.0">PROPOSITIO II. </s>
            </p>
            <p id="id.2.1.75.4.0.0.0" type="main">
              <s id="id.2.1.75.4.1.1.0">Alio modo vecte vti poſsumus. </s>
            </p>
            <p id="id.2.1.75.5.0.0.0" type="main">
              <s id="id.2.1.75.5.1.1.0">Sit vectis AB, cuius
                <lb/>
              fulcimentum ſit B, &
                <lb/>
              pondus C vtcunq; in
                <lb/>
              D inter AB appen­
                <lb/>
              ſum; ſitq; potentia in
                <lb/>
              A ſuſtinens pondus C. </s>
              <s id="id.2.1.75.5.1.1.0.a">
                <lb/>
              Dico vt BD ad BA,
                <lb/>
                <figure id="id.036.01.091.1.jpg" place="text" xlink:href="036/01/091/1.jpg" number="85"/>
                <lb/>
              ita eſſe potentiam in A ad pondus C. </s>
              <s id="N12A22">appendatur in A pondus
                <lb/>
              E æquale ipſi C; & vt AB ad BD, ita fiat pondus E ad aliud F.
                <lb/>
              </s>
              <s id="N12A23">& quoniam pondera CE ſunt inter ſe ſe æqualia, erit pondus C
                <lb/>
              ad pondus F, vt AB ad BD. </s>
              <s id="N12A2A">appendatur quoq; pondus F in A.
                <lb/>
              </s>
              <s id="N12A2D">& quoniam pondus E ad pondus F eſt, vt grauitas ipſius E ad gra­
                <lb/>
              uitatem
                <arrow.to.target n="note127"/>
              ipſius F; & pondus E ad F eſt, vt AB ad BD; vt igitur
                <lb/>
              grauitas ponderis E ad grauitatem ponderis F, ita eſt AB ab BD.
                <lb/>
              </s>
              <s id="N12A38">vt autem AB ad BD, ita eſt grauitas ponderis E ad grauitatem
                <arrow.to.target n="note128"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>