Valerio, Luca, De centro gravitatis solidorvm libri tres

Page concordance

< >
Scan Original
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
< >
page |< < of 283 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/078.jpg" pagenum="70"/>
              ſegmentum eius maiori baſi propinquius ſit ad to­
                <lb/>
              tum prædictum interiectum ſegmentum, vt tertia
                <lb/>
              proportionalis minor ad duo latera homologa ba­
                <lb/>
              ſium oppoſitarum, ad compoſitam ex his tribus
                <lb/>
              deinceps proportionalibus. </s>
            </p>
            <p type="main">
              <s>Sit pyramidis fruſtum, cuius baſes oppoſitæ, & parallelæ,
                <lb/>
              maior triangulum ABC, minor autem triangulum DEF,
                <lb/>
              axis autem GH. triangulorum autem ABC, DEF, quæ
                <lb/>
              inter ſe ſimilia eſse neceſse eſt, ſint duo latera homologa
                <lb/>
              BC, EF: & vt eſt BC, ad EF, ita ſit EF, ad X: vt autem eſt
                <lb/>
              duplum lateris BC, vna cum latere EF, ad duplum lateris
                <lb/>
              EF, vna cum la
                <lb/>
              tere BC, ita ſit
                <lb/>
              HN, ad NG,
                <lb/>
              & NO, pars quar
                <lb/>
              ta ipſius NG, &
                <lb/>
              HS, pars quar­
                <lb/>
              ta ipſius GH; ip
                <lb/>
              ſius autem SO,
                <lb/>
              ſit VO, ad OS,
                <lb/>
              vt eſt X, ad com­
                <lb/>
              poſitam ex tri­
                <lb/>
              bus BC, EF, X.
                <lb/>
              </s>
              <s>Dico punctum V
                <lb/>
              (quod cadet ne­
                <lb/>
              ceſsario infra
                <lb/>
                <figure id="id.043.01.078.1.jpg" xlink:href="043/01/078/1.jpg" number="50"/>
                <lb/>
              punctum N, quanquam hoc ad demonſtrationem nihil re­
                <lb/>
              fert) eſse centrum grauitatis fruſti ABCDEF. </s>
              <s>Ducta
                <lb/>
              enim recta AGL; quoniam GH, eſt axis fruſti ABCD
                <lb/>
              EF, & punctum G, centrum grauitatis trianguli ABC,
                <lb/>
              erit punctum L, in medio baſis BC: ſecto igitur etiam la­
                <lb/>
              tere EF, bifariam in puncto K, iungantur LK,
                <emph type="italics"/>
              K
                <emph.end type="italics"/>
              H: & vt </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum