Valerio, Luca, De centro gravitatis solidorvm libri tres

Page concordance

< >
Scan Original
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
< >
page |< < of 283 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/115.jpg" pagenum="28"/>
              atque ideo & portionis baſibus parallelo; ſuper ſectionem,
                <lb/>
              quæ erit circulus maximus, cuius diameter LM, duo cylin­
                <lb/>
              dri deſcripti intelligantur, ad oppoſita portionis baſium pla
                <lb/>
              na terminati ex illis autem totus cylindrus compoſitus EF,
                <lb/>
              cuius baſis æqua­
                <lb/>
              lis circulo maxi­
                <lb/>
              mo LM. </s>
              <s>Deinde
                <lb/>
              in ſegmento GH
                <lb/>
              ſumpta OH, ter­
                <lb/>
              tia parte minoris
                <lb/>
              extremæ maiori
                <lb/>
              GH in proportio
                <lb/>
              ne, quæ eſt LG ad
                <lb/>
              GH; & in ſegmen
                <lb/>
              to GK, ſumatur
                <lb/>
                <figure id="id.043.01.115.1.jpg" xlink:href="043/01/115/1.jpg" number="87"/>
                <lb/>
              NK, tertia pars minoris extremæ maiori GK, in propor­
                <lb/>
              tione, quæ eſt LG ad GK. </s>
              <s>Dico portionem ABCD
                <lb/>
              ad cylindrum EF, eſse vt NO ad KH. </s>
              <s>Sumptis enim
                <lb/>
              ijſdem, quæ in præcedentis ſumpſimus, demonſtrationem
                <lb/>
              ſimiliter oſtenderemus tam portionem LBCM ad cy­
                <lb/>
              lindrum EF, eſse vt OG ad
                <emph type="italics"/>
              K
                <emph.end type="italics"/>
              H, quam portionem LA
                <lb/>
              DM ad eundem EF cylindrum, vt NG ad eundem axim
                <lb/>
              KH, vt igitur prima cum quinta ad ſecundam, ita tertia
                <lb/>
              cum ſexta ad quartam: videlicet, vt NO ad KH, ita por
                <lb/>
              tio ABCD ad EF cylindrum. </s>
              <s>Quod demonſtrandum
                <lb/>
              crat. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XVIII.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Omne conoides parabolicum dimidium eſt
                <lb/>
              cylindri, coni autem ſeſquialterum eandem ipſi
                <lb/>
              baſim, & eandem altitudinem habentium. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum