Valerio, Luca, De centro gravitatis solidorvm libri tres

List of thumbnails

< >
1
1 		2
2
3
3 		4
4
5
5 		6
6
7
7 		8
8
9
9 		10
10
< >
page |< < of 283 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/127.jpg" pagenum="40"/>
              duæ magnitudines commune habebunt centrum
                <lb/>
              grauitatis. </s>
            </p>
            <p type="main">
              <s>Sit recta linea AB, & quotcumque magnitudines
                <lb/>
              FGH, & totidem KLM, binæ in eadem proportione:
                <lb/>
              nimirum vt F ad G ita K ad L: & vt G ad H ita L ad
                <lb/>
              M. in recta autem AB, ſint communia centra grauitatis,
                <lb/>
              C duarum FK, & D duarum GL: & E duarum HM. </s>
              <s>Om­
                <lb/>
              nium autem primarum tamquam vnius magnitudinis ſit
                <lb/>
              centrum grauitatis O. </s>
              <s>Dico & omnium ſecundarum ſi­
                <lb/>
              mul centrum grauitatis eſse O. </s>
              <s>Duarum enim FG ſi­
                <lb/>
                <figure id="id.043.01.127.1.jpg" xlink:href="043/01/127/1.jpg" number="98"/>
                <lb/>
              mul ſit centrum grauitatis N. </s>
              <s>Vtigitur eſt F ad G, hoc
                <lb/>
              eſt, vt K ad L, ita erit DN, ad NC. punctum igitur N
                <lb/>
              eſt centrum grauitatis duarum magnitudinum KL ſimul.
                <lb/>
              </s>
              <s>Rurſus, quia componendo, & ex æquali, eſt vt FG ſimul
                <lb/>
              ad H, ita KL ſimul ad M: eſt autem tam duarum FG,
                <lb/>
              quam duarum KL ſimul centrum grauitatis N, ſimiliter
                <lb/>
              vt ante oſtenderemus duarum magnitudinum FGH,
                <lb/>
              KLM centrum grauitatis eſse O. </s>
              <s>Quod eſt propoſitum. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XXVI.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Si ſint quotcumque magnitudines, & aliæ ip­
                <lb/>
              ſis multitudine æquales primarum, ex quibus cen
                <lb/>
              tra grauitatis in eadem recta linea diſpoſita ſint
                <lb/>
              alternatim ad centra grauitatis ſecundarum, qua-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum