DelMonte, Guidubaldo, Mechanicorvm Liber

Page concordance

< >
Scan Original
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
< >
page |< < of 288 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N13F6F">
            <pb n="65" xlink:href="036/01/143.jpg"/>
            <p id="id.2.1.141.12.0.0.0" type="main">
              <s id="id.2.1.141.12.1.1.0">Si pondus A; ſit BCD
                <lb/>
              orbiculus trochleæ pon­
                <lb/>
              deri A alligate, cuius cen
                <lb/>
              trum E; funis deinde FB
                <lb/>
              CDG circa orbiculum
                <lb/>
              voluatur, qui religetur in
                <lb/>
              F; ſitq; potentia in G ſu
                <lb/>
              ſtinens pondus A. </s>
              <s id="id.2.1.141.12.1.1.0.a">dico
                <lb/>
              potentiam in G ſubdu­
                <lb/>
              plam eſſe ponderis A. </s>
              <s id="id.2.1.141.12.1.1.0.b">ſint
                <lb/>
              funes FB GD puncti E
                <lb/>
              horizonti perpendicula­
                <lb/>
              res, qui inter ſe ſe æqui­
                <lb/>
              diſtantes
                <arrow.to.target n="note222"/>
              erunt; tangantq;
                <lb/>
              funes FB GD circulum
                <lb/>
              BCD in BD punctis. </s>
              <s id="id.2.1.141.12.1.2.0">
                <lb/>
              connectatur BD; erit BD
                <lb/>
              per centrum E ducta,
                <arrow.to.target n="note223"/>
                <lb/>
                <figure id="id.036.01.143.1.jpg" place="text" xlink:href="036/01/143/1.jpg" number="138"/>
                <lb/>
              ipſiuſ〈qué〉 centri horizonti æquidiſtans. </s>
              <s id="id.2.1.141.12.1.3.0">Cùm autem potén­
                <lb/>
              tia in G trochlea pondus A ſuſtinere debeat, funem ex altero ex­
                <lb/>
              tremo religatum eſſe oportet, puta in F; ita vt F æqualiter ſaltem
                <lb/>
              potentiæ in G reſiſtat, alioquin potentia in G nullatenus pondus
                <lb/>
              ſuſtinere poſſet. </s>
              <s id="id.2.1.141.12.1.4.0">Et quoniam potentia fune ſuſtinet orbiculum,
                <lb/>
              qui reliquam trochleæ partem, cui appenſum eſt pondus, ſuſtinet
                <lb/>
              axiculo; grauitabit hæc trochleæ pars in axiculo, hoc eſt in centro
                <lb/>
              E. </s>
              <s id="N1424A">quare pondus A in eodem quoq; centro E ponderabit, ac ſi
                <lb/>
              in E eſſet appenſum. </s>
              <s id="id.2.1.141.12.1.5.0">poſita igitur potentia, quæ in G, vbi D
                <lb/>
              (idem enim prorſus eſt) erit BD tanquam vectis, cuius fulci
                <lb/>
              mentum erit B, pondus in E appenſum, & potentia in D. </s>
              <s id="N14255">con
                <lb/>
              uenienter enim fulcimenti rationem ipſum B ſubire poteſt, exi
                <lb/>
              ſtente fune FB immobili. </s>
              <s id="id.2.1.141.12.1.6.0">cæterum hoc poſterius magis eluceſcet. </s>
              <s id="id.2.1.141.12.1.7.0">
                <lb/>
              Quoniam autem potentia ad pondus eandem habet proportio­
                <lb/>
              nem,
                <arrow.to.target n="note224"/>
              quàm BE ad BD; & BE in ſubdupla eſt proportione
                <lb/>
              ad BD: potentia igitur in G ponderis A ſubdupla erit. </s>
              <s id="id.2.1.141.12.1.8.0">quod de­
                <lb/>
              monſtrare oportebat. </s>
            </p>
            <p id="id.2.1.142.1.0.0.0" type="margin">
              <s id="id.2.1.142.1.1.1.0">
                <margin.target id="note222"/>
              6
                <emph type="italics"/>
              Vndecimi
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.142.1.1.2.0">
                <margin.target id="note223"/>
                <emph type="italics"/>
              Ex præcedenti.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.142.1.1.3.0">
                <margin.target id="note224"/>
              2
                <emph type="italics"/>
              Huius de vecte.
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum