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

Page concordance

< >
Scan Original
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
< >
page |< < of 207 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N14BB7" type="main">
              <s id="N14BBD">
                <pb xlink:href="077/01/131.jpg" pagenum="127"/>
                <emph type="italics"/>
              quam
                <emph.end type="italics"/>
              habet QN ad NP, hoceſt
                <emph type="italics"/>
              LG ad GK. habet autem &
                <lb/>
              AB ad CD proportionem ipſius LG ad G
                <emph.end type="italics"/>
              K.
                <emph type="italics"/>
              ut igitur AB ad
                <emph.end type="italics"/>
                <arrow.to.target n="marg202"/>
                <lb/>
                <emph type="italics"/>
              CD, ſic est MN ad NX. & permutando
                <emph.end type="italics"/>
              vt AB ad MN, ita
                <lb/>
              CD ad NX.
                <emph type="italics"/>
              æquale autem est AB ipſi MN, erit igitur & CD
                <lb/>
              ipſi NX æquale. </s>
              <s id="N14C79">Centrum autem grauitatisipſius
                <emph.end type="italics"/>
              NX
                <emph type="italics"/>
              est
                <expan abbr="punotũ">punotum</expan>
                <lb/>
              F.
                <emph.end type="italics"/>
              propterea quod eſt in medio lineæ GK,
                <arrow.to.target n="marg203"/>
              parallelo­
                <lb/>
              grammi NX oppoſita latera ON XP bifariam ſecat.
                <emph type="italics"/>
              &
                <lb/>
              quoniam æqualis eſt LH ipſi HK, totaquè LK appaſita latera
                <emph.end type="italics"/>
              MQ
                <lb/>
              XP
                <emph type="italics"/>
              bifariam diuidit, totius PM
                <expan abbr="centrũ">centrum</expan>
              grauitatis erit punctum Hr
                <lb/>
              Verùm ipſum MP æquale est utriſ〈que〉 MN NX,
                <emph.end type="italics"/>
              quorum, cùm
                <lb/>
              ſint centra grauitatis EF, æ〈que〉pondera bunt ſpacia MN
                <lb/>
              NX ex diſtantijs FH HE. ſi igitur loco parallelo gram mo­
                <lb/>
              rum MN NX ponatur AB in E, & CD in F, cùm ſit
                <lb/>
              AB ipſi MN, & CD ipſi NX æquale; ſpacia AB CD
                <arrow.to.target n="marg204"/>
                <lb/>
              diſtantijs FH HE æ〈que〉ponderabunt.
                <emph type="italics"/>
              ac propterea magnitudi
                <lb/>
              nis ex utriſ〈que〉 AB CD
                <emph.end type="italics"/>
              compoſitæ
                <emph type="italics"/>
              centrum grauitatis
                <expan abbr="eſtpunctũ">eſtpunctum</expan>
                <lb/>
              H.
                <emph.end type="italics"/>
              quod quidem propoſitum fuit. </s>
            </p>
            <p id="N14CC7" type="margin">
              <s id="N14CC9">
                <margin.target id="marg201"/>
              2.
                <emph type="italics"/>
              cor.
                <emph.end type="italics"/>
              9.
                <lb/>
                <emph type="italics"/>
              primihui
                <emph.end type="italics"/>
              ^{9}.</s>
            </p>
            <p id="N14CDA" type="margin">
              <s id="N14CDC">
                <margin.target id="marg202"/>
              16.
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N14CE5" type="margin">
              <s id="N14CE7">
                <margin.target id="marg203"/>
              2.
                <emph type="italics"/>
              cor.
                <emph.end type="italics"/>
              9.
                <lb/>
                <emph type="italics"/>
              primihui
                <emph.end type="italics"/>
              ^{9}.</s>
            </p>
            <p id="N14CF8" type="margin">
              <s id="N14CFA">
                <margin.target id="marg204"/>
              8.
                <emph type="italics"/>
              poſthui
                <emph.end type="italics"/>
              ^{9}</s>
            </p>
            <p id="N14D04" type="head">
              <s id="N14D06">SCHOLIVM.</s>
            </p>
            <p id="N14D08" type="main">
              <s id="N14D0A">Cùm ſit intentio Archimedis non nulla pertractare ad pa­
                <lb/>
              rabolen ſpectantia; primùm iacit fundamentum, parabolas
                <lb/>
              nempe ita ſe habere, vt permutatim diſtantiæ, ex quibus
                <lb/>
              ſuntcollocatæ, ſe habent. </s>
              <s id="N14D12">&
                <expan abbr="quãuis">quamuis</expan>
              vniuerſim, atquè in om­
                <lb/>
              nibus mutuam hanc conuenientiam ex dictis ex primo libro
                <lb/>
              depræhendere liceat, hoc tamen loco peculiariter voluitad
                <lb/>
              huberiorem do ctrinam id ipſum in parabolis
                <arrow.to.target n="marg205"/>
                <lb/>
              & quamuis in primo libro dixerit Archimedes magnitudi­
                <lb/>
              nes æ〈que〉ponderare, quando ita ſe habent inter ſe, ut diſtan­
                <lb/>
              tiæ permutatim ſe habent; hocautem loco quærit
                <expan abbr="centrũ">centrum</expan>
              gra
                <lb/>
              uitatis magnitudinis ex parabolis compoſitæ; non ſunt
                <expan abbr="tamẽ">tamen</expan>
                <lb/>
              propoſitiones diuerſæ. </s>
              <s id="N14D33">nam & in primo libro dum in demon
                <lb/>
              ſtratio ne quærit proportionem diſtantiarum, oſtendit, vbi
                <lb/>
              nam ſit centrum grauitatis magnitudinum. </s>
              <s id="N14D39">quare
                <expan abbr="quãnis">quannis</expan>
              pro
                <lb/>
              poſitiones videantur diuerſæ, non ſunt tamen diuerſæ, ete­
                <lb/>
              nim vt poſt tertiam primi libri propoſitionem adnotauimus, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum