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">
            <pb xlink:href="036/01/184.jpg"/>
            <p id="id.2.1.171.5.0.0.0" type="head">
              <s id="id.2.1.171.5.1.1.0">PROPOSITIO XVII. </s>
            </p>
            <p id="id.2.1.171.6.0.0.0" type="main">
              <s id="id.2.1.171.6.1.1.0">Si vtriſq; duarum trochlearum ſingulis orbicu
                <lb/>
              lis, quarum vna ſupernè à potentia ſuſtineatur,
                <lb/>
              altera verò infernè, ibiq; affixa, conſtituta fue­
                <lb/>
              rit, funis circumducatur; altero eius extremo ſu
                <lb/>
              periori trochleæ religato, alteri verò pondere
                <lb/>
              appenſo; tripla erit ponderis potentia. </s>
            </p>
            <p id="id.2.1.171.7.0.0.0" type="main">
              <s id="id.2.1.171.7.1.1.0">Sit orbiculus, cuius centrum A, tro­
                <lb/>
              chleæ infernè affixæ; & ſit funis BCD
                <lb/>
              EFG non ſolum huic orbiculo circumuo
                <lb/>
              lutus, verùm etiam orbiculo trochleæ ſu­
                <lb/>
              perioris, cuius centrum k; ſitq; funis in
                <lb/>
              B ſuperiori trochleæ religatus; & in G ſit ap
                <lb/>
              penſum pondus H; potentiaq; in L ſuſti
                <lb/>
              neat pondus H. </s>
              <s id="id.2.1.171.7.1.1.0.a">dico potentiam in L tri­
                <lb/>
              plam eſſe ponderis H. </s>
              <s id="id.2.1.171.7.1.1.0.b">ſi enim duæ eſſent
                <lb/>
              potentiæ pondus H
                <expan abbr="ſuſtidentes">sustinentes</expan>
              , vna in
                <lb/>
              K, altera in B, erunt vtræq; ſimul triplæ
                <lb/>
                <arrow.to.target n="note255"/>
              ponderis H potentia enim in k dupla eſt
                <lb/>
              ponderis H, & potentia in B ipſi ponderi
                <lb/>
              æqualis. </s>
              <s id="id.2.1.171.7.1.2.0">& quoniam ſola potentia in L
                <lb/>
              vtriſq; ſcilicet potentiæ in KB eſt æqua­
                <lb/>
              lis. </s>
              <s id="id.2.1.171.7.1.3.0">ſuſtinet enim potentia in L; tùm po­
                <lb/>
              tentiam in K, tùm potentiam in B; idem
                <lb/>
              〈qué〉 efficit potentia in L, ac ſi duæ eſſent
                <lb/>
              potentiæ, vna in k, altera in B: Tri­
                <lb/>
              pla igitur erit potentia in L ponderis H.
                <lb/>
              </s>
              <s id="N152B6">quod demonſtrare oportebat.
                <figure id="id.036.01.184.1.jpg" place="text" xlink:href="036/01/184/1.jpg" number="171"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>