DelMonte, Guidubaldo, In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata

Page concordance

< >
Scan Original
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
< >
page |< < of 207 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N11F30" type="main">
              <s id="N11F47">
                <pb xlink:href="077/01/060.jpg" pagenum="56"/>
              magnitudinum BC, hoc eſt magnitudinis ex BC compoſi­
                <lb/>
              tæ centrum grauitatis ſit punctum E; auferantur verò BC
                <lb/>
              à linea EA, & ipſarum loco ponatur in E magnitudo;
                <lb/>
              quæ ſit vtriſ〈que〉 ſimul BC ęqualis, vt in ſecunda figura. </s>
              <s id="N11F5D">Dico
                <lb/>
              eodem modo pondera ABC ę〈que〉ponderare in prima figu­
                <lb/>
              ra, veluti grauia AE in ſecunda. </s>
            </p>
            <figure id="id.077.01.060.1.jpg" xlink:href="077/01/060/1.jpg" number="35"/>
            <p id="N11F67" type="main">
              <s id="N11F69">Primum autem, vthoc recte per
                <lb/>
                <arrow.to.target n="fig26"/>
                <lb/>
              pendamus, intelligantur pondera
                <lb/>
              BC (vt in tertia figura) ſeorſum
                <lb/>
              à linea CA, & penes diſtantias EC
                <lb/>
              EB conſtituta. </s>
              <s id="N11F78">quorum quidem
                <expan abbr="põ-derum">pon­
                  <lb/>
                derum</expan>
              ſit centrum grauitatis E. ſi igitur intelligatur poten
                <lb/>
                <arrow.to.target n="marg44"/>
              tia in E ſuſtinere pondera BC, hoc eſt pondus exipſis BC
                <lb/>
              compoſitum: pondera uti〈que〉 manebunt. </s>
              <s id="N11F88">quòd ſi ambo pe­
                <lb/>
              penderint, vt quinquaginta, potentia in E tantùm quinqua
                <lb/>
              ginta ſuſtinebit. </s>
              <s id="N11F8E">quoniam totum ſuſtinebit pondus ex ipſis
                <lb/>
              compoſitum, auferantur verò pondera BC à ſitu BC, intelli
                <lb/>
              ganturquè pondera eſſe in E conſtituta; hoc eſt vnum ſit
                <lb/>
              pondus ex ipſis ſimul iunctis compoſitum, cuius
                <expan abbr="cẽtrum">centrum</expan>
              gra­
                <lb/>
              uitatis ſit in E conſtitutum; tunc eadem potentia in E eo­
                <lb/>
              dem modo hoc pondus ſuſtinebit; propterea quod
                <expan abbr="eodẽ">eodem</expan>
              mo­
                <lb/>
              do quinquaginta tantùm ſuſtinebit. </s>
              <s id="N11FA4">Quare pondera BC
                <expan abbr="tã">tam</expan>
                <lb/>
              ex diſtantijs EC EB grauitant, quàm ſi vtra〈que〉 in E con
                <lb/>
              ſtituta fuerint; vel quod idem eſt, quàm pondus ipſis BC ſi­
                <lb/>
              mul æquale in E poſitum. </s>
              <s id="N11FB0">Ex quo patetid, quod initio prę­
                <lb/>
              fati ſum us, nempe, vnumquodquè graue in eius centro gra­
                <lb/>
              uitatis propriè grauitare. </s>
              <s id="N11FB6">Quocum 〈que〉 enim modo
                <expan abbr="eadẽ">eadem</expan>
              gra
                <lb/>
              uia ſeſe habent, eodem ſemper modo in eius grauitatis
                <expan abbr="cẽtro">centro</expan>
                <lb/>
              grauitant. </s>
            </p>
            <p id="N11FC4" type="margin">
              <s id="N11FC6">
                <margin.target id="marg44"/>
                <emph type="italics"/>
              per def.
                <lb/>
              cent. </s>
              <s id="N11FCE">grau.
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.077.01.060.2.jpg" xlink:href="077/01/060/2.jpg" number="36"/>
            <p id="N11FD6" type="main">
              <s id="N11FD8">Quibus cognitis, intelligantur nunc grauia BC in linea
                <lb/>
              CA poſita eſſe; ut in ſuperiori figura: & ut quod propoſitum
                <lb/>
              fuit, oſtendatur; hoc modo argumentari licebit. </s>
              <s id="N11FDE">Quoniam
                <lb/>
              enim magnitudines BC ſuam habent grauitatem in E, ſiqui
                <lb/>
              dem pro vna tantùm intelliguntur magnitudine ex BC com
                <lb/>
              poſita, cuius punctum E centrum grauitatis exiſtit. </s>
              <s id="N11FE6">in
                <expan abbr="ſecũ">ſecum</expan>
                <lb/>
              da verò figura magnitudo E ſimiliter ſuam habet
                <expan abbr="grauitatẽ">grauitatem</expan>
                <lb/>
              in puncto E; quod eſt eius
                <expan abbr="centrũ">centrum</expan>
              grauitatis. </s>
              <s id="N11FF8">at〈que〉 </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum