DelMonte, Guidubaldo, Mechanicorvm Liber

Page concordance

< >
Scan Original
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
< >
page |< < of 288 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N128CF">
            <p id="id.2.1.91.4.0.0.0" type="main">
              <s id="id.2.1.91.4.1.2.0.a">
                <pb n="45" xlink:href="036/01/103.jpg"/>
              tentiam in A ad pondus eam habere, quam DH ad DA; poten
                <lb/>
              tiamq; in M ad pondus eam, quam Ok ad OM. </s>
              <s id="id.2.1.91.4.1.2.0.b">Quoniam e­
                <lb/>
              nim à centro grauitatis F ducta eſt kF horizonti perpendicularis,
                <lb/>
              ex quocunq; puncto lineæ kF ſuſtineatur pondus, manebit; vt
                <arrow.to.target n="note146"/>
                <lb/>
              nunc ſe habet. </s>
              <s id="id.2.1.91.4.1.3.0">ſi igitur ſuſtineatur in H, manebit vt prius; ſcili­
                <lb/>
              cet ſublato puncto B, & PQ, quæ pondus ſuſtinent, pondus BE
                <lb/>
              manebit, ſicuti ab ipſis ſuſtinebatur. </s>
              <s id="id.2.1.91.4.1.4.0">quare in vecte AB graueſcet
                <lb/>
              in H, & ad vectem eandem habebit conſtitutionem, quam prius;
                <lb/>
              idcirco erit, ac ſi in H eſſet appenſum. </s>
              <s id="id.2.1.91.4.1.5.0">eadem igitur potentia ìdem
                <lb/>
              pondus BE, ſiue in H, ſiue in B, & Q ſuffultum, ſuſtinebit. </s>
              <s id="id.2.1.91.4.1.6.0">Potentia ve
                <arrow.to.target n="note147"/>
                <lb/>
              rò in A ſuſtinens pondus BE vecte AB in H appenſum ad ipſum
                <lb/>
              pondus eandem habet proportionem, quam DH ad DA; eadem
                <lb/>
              ergo potentia in A ſuſtinens pondus BE in punctis BQ ſuſtenta
                <lb/>
              tum ad ipſum pondus erit, vt DH ad DA. </s>
              <s id="id.2.1.91.4.1.6.0.a">Similiter oſtende­
                <lb/>
              tur pondus BE ſi in G ſuſtineatur, manere; ſicuti à punctis BP
                <lb/>
              ſuſtinebatur: & in puncto k, vt à punctis BR. </s>
              <s id="N12FFF">quare potentia in
                <lb/>
              L ſuſtinens pondus BE ad ipſum pondus ita erit, vt NG ad NL.
                <lb/>
              </s>
              <s id="N13004">potentia verò in M ad pondus, vt OK ad OM; hoc eſt vt diſtan
                <lb/>
              tia à fulcimento ad punctum, vbi à centro grauitatis ponderis ho
                <lb/>
              rizonti ducta perpendicularis vectem ſecat, ad diſtantiam à fulci­
                <lb/>
              mento ad potentiam. </s>
              <s id="id.2.1.91.4.1.7.0">quod demonſtrare quoq; oportebat. </s>
            </p>
            <p id="id.2.1.92.1.0.0.0" type="margin">
              <s id="id.2.1.92.1.1.1.0">
                <margin.target id="note146"/>
              1
                <emph type="italics"/>
              Huius de libra.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.92.1.1.2.0">
                <margin.target id="note147"/>
              1
                <emph type="italics"/>
              Huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.93.1.0.0.0" type="main">
              <s id="id.2.1.93.1.1.1.0">Si verò LAM eſſent fulcimenta, & potentiæ in NDO; ſimi
                <lb/>
              liter oſtendetur ita eſſe potentiam in N ad pondus, vt LG ad L
                <lb/>
              N; & potentiam in D, vt AH ad AD; & potentiam in O, vt
                <lb/>
              Mk ad MO. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum