Valerio, Luca, De centro gravitatis solidorvm libri tres

Table of figures

< >
[Figure 141]
[Figure 142]
[Figure 143]
[Figure 144]
[Figure 145]
[Figure 146]
[Figure 147]
[Figure 148]
[Figure 149]
[Figure 150]
[Figure 151]
[Figure 152]
[Figure 153]
[Figure 154]
[Figure 155]
[Figure 156]
[Figure 157]
[Figure 158]
[Figure 159]
[Figure 160]
[Figure 161]
[Figure 162]
[Figure 163]
[Figure 164]
[Figure 165]
[Figure 166]
[Figure 167]
[Figure 168]
[Figure 169]
[Figure 170]
< >
page |< < of 283 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/126.jpg" pagenum="39"/>
              neis connectantur, erunt binæ connectentes parallelæ, &
                <lb/>
              ab axe
                <emph type="italics"/>
              K
                <emph.end type="italics"/>
              L bifariam ſecabuntur, vt figuræ deſcriptio ina­
                <lb/>
              nifeſtat. </s>
              <s>Totius igitur fruſti ABCDEFGH, centrum
                <lb/>
              grauitatis
                <foreign lang="grc">
                  <gap/>
                </foreign>
              in linea
                <foreign lang="grc">γ δ</foreign>
              cadet: ſed punctum
                <foreign lang="grc">γ</foreign>
              cadit infra
                <lb/>
              punctum
                <foreign lang="grc">α</foreign>
              , multo ergo inferius, & baſi EG propinquius
                <lb/>
              punctum
                <foreign lang="grc">
                  <gap/>
                </foreign>
              quam punctum
                <foreign lang="grc">α. </foreign>
              </s>
              <s>Quod demonſtrandum erat. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XXIV.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Omnis fruſti conici centrum grauitatis pro­
                <lb/>
              pinquius eſt maiori baſi quam punctum illud, in
                <lb/>
              quo axis ſic diuiditur, vt pars minorem baſim
                <lb/>
              attingens ſit ad reliquam, vt dupla diametri ma­
                <lb/>
              ior is baſis vna cum minoris diametro ad duplam
                <lb/>
              diametri minoris baſis vna cum diametro ma­
                <lb/>
              ioris. </s>
            </p>
            <p type="main">
              <s>Hoc eadem ratione deducetur ex antecedenti, qua cen­
                <lb/>
              trum grauitatis fruſti conici in extremo primo libro demon
                <lb/>
              ſtrauimus, quandoquidem ſimiliter vt ibi fecimus, omnis
                <lb/>
              pyramidis centro grauitatis idem probaremus accedere
                <lb/>
              quod prædictæ pyramidis in antecedente. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XXV.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Si ſint quotcumque magnitudines, & aliæ illis
                <lb/>
              multitudine æquales, binæque ſumptæ in eadem
                <lb/>
              proportione, quæ commune habeant centrum gra
                <lb/>
              uitatis, centra autem grauitatis omnium ſint in
                <lb/>
              eadem recta linea; primæ & ſecundæ tanquam </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>