Valerio, Luca, De centro gravitatis solidorvm libri tres

Table of figures

< >
[Figure 91]
[Figure 92]
[Figure 93]
[Figure 94]
[Figure 95]
[Figure 96]
[Figure 97]
[Figure 98]
[Figure 99]
[Figure 100]
[Figure 101]
[Figure 102]
[Figure 103]
[Figure 104]
[Figure 105]
[Figure 106]
[Figure 107]
[Figure 108]
[Figure 109]
[Figure 110]
[Figure 111]
[Figure 112]
[Figure 113]
[Figure 114]
[Figure 115]
[Figure 116]
[Figure 117]
[Figure 118]
[Figure 119]
[Figure 120]
< >
page |< < of 283 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/091.jpg" pagenum="4"/>
              igitur proportio E ad B, quàm G ad B; quamobrem E
                <lb/>
              maior erit quàm G minor maiori, quod fieri non poteſt.
                <lb/>
              </s>
              <s>Non igitur minor eſt proportio A ad B quàm C ad D.
                <lb/>
              </s>
              <s>Eadem autem ratione non minor erit proportio C ad D,
                <lb/>
              quàm A ad B, hoc eſt non maior A ad B, quàm C ad D;
                <lb/>
              eadem igitur proportio A ad B, quæ C ad D. </s>
            </p>
            <p type="main">
              <s>In ſecunda autem hypotheſis parte, quæ pertinet ad mi­
                <lb/>
              norem
                <expan abbr="defectũ">defectum</expan>
              , eſto ſi fieri poteſt maior proportio A ad B,
                <lb/>
              quàm C ad D. erit igitur, & ſit aliqua alia magnitudo G
                <lb/>
              minor quàm A ad B, vt C ad D. </s>
              <s>Sit autê F minor quàm
                <lb/>
              C minori defectu magnitudine,
                <lb/>
              quam quis voluerit, & E minor
                <lb/>
              quàm A, & maior quàm G, vt au­
                <lb/>
              tem E ad B ita F ad D. </s>
              <s>Quoniam
                <lb/>
              igitur maior eſt proportio C ad D,
                <lb/>
              quàm F ad D: ſed vt C ad D, ita
                <lb/>
              eſt G ad B: & vt F ad D, ita E ad
                <lb/>
              B: maior erit proportio G ad B
                <lb/>
              quàm E ad B; quamobrem erit
                <lb/>
              G maior quàm E, minor maiori,
                <lb/>
              quod fieri non poteſt; non igitur ma
                <lb/>
                <figure id="id.043.01.091.1.jpg" xlink:href="043/01/091/1.jpg" number="63"/>
                <lb/>
              ior eſt proportio A ad B, quàm C ad D. </s>
              <s>Eadem autem ra
                <lb/>
              tione non maior erit proportio C ad D, quàm A ad B, hoc
                <lb/>
              eſt non minor A ad B, quàm C ad D. </s>
              <s>Eadem igitur erit
                <lb/>
              proportio A ad B, quæ C ad D. </s>
              <s>Quod
                <expan abbr="demonſtrãdum">demonſtrandum</expan>
              erat. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO II.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Si maior, vel minor prima ad vnà maiorem, vel
                <lb/>
              minorem ſecunda, minori
                <expan abbr="vtriuſq;">vtriuſque</expan>
              exceſſu, vel de­
                <lb/>
              fectu
                <expan abbr="quantacumq;">quantacumque</expan>
              magnitudine propoſita fue­
                <lb/>
              rit vt tertia ad quartam; erit vt prima ad ſecun­
                <lb/>
              dam, ita tertia ad quartam. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>