DelMonte, Guidubaldo, Mechanicorvm Liber

Page concordance

< >
Scan Original
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
< >
page |< < of 288 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N128CF">
            <p id="id.2.1.85.8.0.0.0" type="main">
              <s id="N12DD0">
                <pb n="43" xlink:href="036/01/099.jpg"/>
              æqualis ſpatio ponderis D moti. </s>
              <s id="id.2.1.85.8.1.6.0">ſpatium enim motus ponderis
                <lb/>
              D ſemper æquale eſt ſpatio motus puncti B, cùm in B ſit appen
                <lb/>
              ſum: ſpatium ergo potentiæ motæ ad ſpatium moti ponderis eſt,
                <lb/>
              vt CA ad CB; hoc eſt vt diſtantia à fulcimento ad potentiam
                <lb/>
              ad diſtantiam ab eodem ad ponderis ſuſpenſionem. </s>
              <s id="id.2.1.85.8.1.7.0">quod demon
                <lb/>
              ſtrare oportebat. </s>
            </p>
            <p id="id.2.1.86.1.0.0.0" type="margin">
              <s id="id.2.1.86.1.1.1.0">
                <margin.target id="note139"/>
              15
                <emph type="italics"/>
              Primi.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.86.1.1.2.0">
                <margin.target id="note140"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              26
                <emph type="italics"/>
              tertii.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.86.1.1.3.0">
                <margin.target id="note141"/>
              16
                <emph type="italics"/>
              Quinti.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.86.1.1.4.0">
                <margin.target id="note142"/>
              23
                <emph type="italics"/>
              Octaui Pappi.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.86.1.1.5.0">
                <margin.target id="note143"/>
              11
                <emph type="italics"/>
              Quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.87.1.0.0.0" type="main">
              <s id="id.2.1.87.1.1.1.0">Sit autem vectis AB, cu­
                <lb/>
              ius fulcimentum B; potentia­
                <lb/>
              〈qué〉 mouens in A; & pondus
                <lb/>
              in C. </s>
              <s id="id.2.1.87.1.1.1.0.a">dico ſpatium potentiæ
                <lb/>
              translatæ ad ſpatium transla
                <lb/>
              ti ponderis ita eſſe, vt BA ad
                <lb/>
              BC. </s>
              <s id="id.2.1.87.1.1.1.0.b">Moueatur vectis, & vt
                <lb/>
              pondus sursum attollatur, ne­
                <lb/>
              ceſſe eſt puncta C A ſurſum
                <lb/>
              moueri. </s>
              <s id="id.2.1.87.1.1.2.0">Moueatur igitur A
                <lb/>
              ſurſum vſq; ad D; ſitq; ve­
                <lb/>
              ctis motus BD. </s>
              <s id="id.2.1.87.1.1.2.0.a">eodemq;
                <lb/>
              modo (vt prius dictum eſt)
                <lb/>
              oſtendemus puncta CA cir­
                <lb/>
              culorum circumferentias de­
                <lb/>
                <figure id="id.036.01.099.1.jpg" place="text" xlink:href="036/01/099/1.jpg" number="92"/>
                <lb/>
              ſcribere,
                <expan abbr="quorũ">quorum</expan>
              ſemidiametri ſunt BA BC. </s>
              <s id="id.2.1.87.1.1.2.0.b">ſimiliterq; oſtendemus
                <lb/>
              ita eſſe AD ad CE, vt ſemidiameter AB ad ſemidiametrum BC. </s>
            </p>
            <p id="id.2.1.87.2.0.0.0" type="main">
              <s id="id.2.1.87.2.1.1.0">Eademq; ratione, ſi potentia eſſet in C, & pondus in A,
                <lb/>
              oſtendetur ita eſſe CE ad AD, vt BC ad BA; hoc eſt diſtan
                <lb/>
              tia à fulcimento ad potentiam ad diſtantiam ab eodem ad ponde
                <lb/>
              ris ſuſpenſionem. </s>
              <s id="id.2.1.87.2.1.2.0">quod oportebat demonſtrare. </s>
            </p>
            <p id="id.2.1.87.3.0.0.0" type="head">
              <s id="id.2.1.87.3.1.1.0">COROLLARIVM. </s>
            </p>
            <p id="id.2.1.87.4.0.0.0" type="main">
              <s id="id.2.1.87.4.1.1.0">Ex his manifeſtum eſt maiorem habere pro­
                <lb/>
              portionem ſpatium potentiæ mouentis ad ſpa­
                <lb/>
              tium ponderis moti, quàm pondus ad eandem
                <lb/>
              potentiam. </s>
            </p>
            <p id="id.2.1.87.5.0.0.0" type="main">
              <s id="id.2.1.87.5.1.1.0">Spatium enim potentiæ ad ſpatium ponderis eandem habet, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum