DelMonte, Guidubaldo, Mechanicorvm Liber

Table of figures

< >
[Figure 41]
[Figure 42]
[Figure 43]
[Figure 44]
[Figure 45]
[Figure 46]
[Figure 47]
[Figure 48]
[Figure 49]
[Figure 50]
[Figure 51]
[Figure 52]
[Figure 53]
[Figure 54]
[Figure 55]
[Figure 56]
[Figure 57]
[Figure 58]
[Figure 59]
[Figure 60]
[Figure 61]
[Figure 62]
[Figure 63]
[Figure 64]
[Figure 65]
[Figure 66]
[Figure 67]
[Figure 68]
[Figure 69]
[Figure 70]
< >
page |< < of 288 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N128CF">
            <p id="id.2.1.89.3.0.0.0" type="main">
              <s id="id.2.1.89.3.1.1.0.b">
                <pb n="44" xlink:href="036/01/101.jpg"/>
              ad kF; & potentiam in B ad pondus eam habere, quam NE ad
                <lb/>
              NB; & potentiam in G ad pondus eam, quam HM ad HG. </s>
              <s id="id.2.1.89.3.1.1.0.c">
                <lb/>
              Quoniam enim DL horizonti eſt perpendicularis, pondus AC
                <lb/>
              vbicunq; in linea DL fuerit appenſum, eodem modo, quo reperi­
                <lb/>
              tur, manebit. </s>
              <s id="id.2.1.89.3.1.2.0">quare in vecte AB ſi ſuſpenſiones, quæ ſunt ad AO
                <lb/>
              ſoluantur, pondus AC in E appenſum eodem modo manebit, ſi­
                <lb/>
              cuti nunc manet; hoc eſt ſublato puncto A, & linea QO, codem
                <lb/>
              modo pondus in E appenſum manebit, vt ab ipſis AO pun­
                <lb/>
              ctis ſuſtinebatur; ex commentario Federici Commandini in ſextam
                <lb/>
              Archimedis
                <expan abbr="propoſionẽ">propoſitionem</expan>
              de quadratura parabolæ, & ex prima huius
                <lb/>
              de libra. </s>
              <s id="id.2.1.89.3.1.3.0">Itaq; quoniam pondus AC eandem ad libram habet conſti
                <lb/>
              tutionem, ſiue in AO ſuſtineatur, ſiue ex puncto E ſit appenſum;
                <lb/>
              eadem potentia in B idem pondus AC, ſiue in E, ſiue in AO
                <lb/>
              ſuſpenſum ſuſtinebit. </s>
              <s id="id.2.1.89.3.1.4.0">potentia verò in B ſuſtinens pondus AC
                <lb/>
              in E appenſum ad ipſum pondus ita ſe habet, vt NE ad NB; po­
                <lb/>
              tentia
                <arrow.to.target n="note145"/>
              igitur in B ſuſtinens pondus AC ex punctis AO ſuſpen
                <lb/>
              ſum ad ipſum pondus ita erit, vt NE ad NB. </s>
              <s id="id.2.1.89.3.1.4.0.a">Non aliter oſten
                <lb/>
              detur pondus AC ex puncto L ſuſpenſum manere, ſicuti à pun
                <lb/>
              ctis AP ſuſtinetur; potentiamq; in F ad ipſum pondus ita eſſe, vt kL
                <lb/>
              ad KF. </s>
              <s id="id.2.1.89.3.1.4.0.b">In vecte verò AG pondus AC in M appenſum ita mane
                <lb/>
              re, vt à punctis AQ ſuſtinetur; potentiamq; in G ad pondus
                <lb/>
              AC ita eſſe, vt HM ad HG; hoc eſt vt diſtantia à fulcimento
                <lb/>
              ad punctum, vbi à centro grauitatis ponderis horizonti ducta
                <lb/>
              perpendicularis vectem ſecat, ad diſtantiam à fulcimento ad poten
                <lb/>
              tiam. </s>
              <s id="id.2.1.89.3.1.5.0">quod demonſtrare oportebat. </s>
            </p>
            <p id="id.2.1.90.1.0.0.0" type="margin">
              <s id="id.2.1.90.1.1.1.0">
                <margin.target id="note145"/>
              1
                <emph type="italics"/>
              Huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.91.1.0.0.0" type="main">
              <s id="id.2.1.91.1.1.1.0">Si autem FBG eſſent vectium fulcimenta, potentiæq; eſſent
                <lb/>
              in KNH pondus ſuſtinentes, ſimili modo oſtendetur ita eſſe po
                <lb/>
              tentiam in H ad pondus, vt GM ad GH; & potentiam in N ad
                <lb/>
              pondus, vt BE ad BN; ac potentiam in k ad pondus, vt FL
                <lb/>
              ad Fk. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>