Valerio, Luca, De centro gravitatis solidorvm libri tres

List of thumbnails

< >
121
121 		122
122
123
123 		124
124
125
125 		126
126
127
127 		128
128
129
129 		130
130
< >
page |< < of 283 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/120.jpg" pagenum="33"/>
              que LK, fiat vt dupla ipſius AD vna cum BC ad du­
                <lb/>
              plam ipſius BC vna cum AD, ita LR ad RK. </s>
              <s>Dico
                <lb/>
              priſmatis AG centrum grauitatis eſse R. </s>
              <s>Ducantur enim
                <lb/>
              per puncta L, K lateribus priſmatis, atque ideo inter ſe
                <lb/>
              parallelæ MN, OP, quæ
                <lb/>
              ob centra K, L, ſecabunt
                <lb/>
              oppoſita parallelogrammo­
                <lb/>
              rum latera bifariam, eas
                <lb/>
              ſectiones connectant MO,
                <lb/>
              NP, ipſique MN, vel
                <lb/>
              OP, parallela ducatur Q
                <lb/>
              RS. </s>
              <s>Quoniam igitur eſt
                <lb/>
              vt LR ad R
                <emph type="italics"/>
              K
                <emph.end type="italics"/>
              , hoc eſt vt
                <lb/>
              dupla ipſius AD vna cum
                <lb/>
              BC ad duplam ipſius BC
                <lb/>
              vna cum AD, ita OQ ad
                <lb/>
              QM, & recta MO bifa­
                <lb/>
                <figure id="id.043.01.120.1.jpg" xlink:href="043/01/120/1.jpg" number="92"/>
                <lb/>
              riam ſecat AC trapezij latera parallela, punctum Q, AC
                <lb/>
              trapezij centrum grauitatis; ſimiliter & punctum S erit EG,
                <lb/>
              trapezij centrum grauitatis: priſmatis igitur AG axis erit
                <lb/>
              QS, & centrum grauitatis R, quod eſt in medio axis.
                <lb/>
              </s>
              <s>Omnis igitur priſmatis baſim habentis trapezium, &c.
                <lb/>
              </s>
              <s>Quod demonſtrandum erat. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XXI.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Si à quolibet prædicto priſmate duo priſmata
                <lb/>
              beſes habentia triangulas ſint ita abſciſſa, vt pa­
                <lb/>
              rallelepipedum relinquant baſim habens minus
                <lb/>
              parallelogrammorum inter ſe parallelorum præ­
                <lb/>
              dicti priſmatis, maioris autem partes æqualia pa­
                <lb/>
              rallelogramma ipſum parallelepipedum relin­</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum