Commandino, Federico, Liber de centro gravitatis solidorum, 1565

Page concordance

< >
Scan Original
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
< >
page |< < of 101 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000565">
                <pb xlink:href="023/01/062.jpg"/>
              compoſitam proportionem habet ex proportione
                <expan abbr="baſiũ">baſium</expan>
              ,
                <lb/>
              & proportione altitudinum. </s>
              <s id="s.000566">Quare & pyramis, cuius ba­
                <lb/>
              ſis eſt quadrilaterum abcd, & altitudo ef ad pyramidem,
                <lb/>
                <figure id="id.023.01.062.1.jpg" xlink:href="023/01/062/1.jpg" number="56"/>
                <lb/>
              cuius baſis quadrilaterum ghKl, & altitudo mn, compoſi
                <lb/>
              tam habet proportionem ex proportione baſium abcd,
                <lb/>
              ghkl, & ex proportione altitudinum ef, mn. </s>
              <s id="s.000567">quod qui­
                <lb/>
              dem demonſtraſſe oportebat.</s>
            </p>
            <p type="margin">
              <s id="s.000568">
                <margin.target id="marg65"/>
              20. huius</s>
            </p>
            <p type="main">
              <s id="s.000569">Ex iam demonſtratis perſpicuum eſt, priſma
                <lb/>
              ta omnia, & pyramides, in quibus axes cum baſi­
                <lb/>
              bus æquales angulos continent, proportionem
                <lb/>
              habere compoſitam ex baſium proportione, &
                <lb/>
              proportione axium. </s>
              <s id="s.000570">demonſtratum eſt enim, a­
                <lb/>
              xes inter ſe eandem proportionem habere, quam
                <lb/>
              ipſæ altitudines.</s>
            </p>
            <p type="head">
              <s id="s.000571">THEOREMA XVIII. PROPOSITIO XXII.</s>
            </p>
            <p type="main">
              <s id="s.000572">CVIVSLIBEt pyramidis, & cuiuslibet coni, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>