Commandino, Federico, Liber de centro gravitatis solidorum, 1565

Page concordance

< >
Scan Original
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
< >
page |< < of 101 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000463">
                <pb xlink:href="023/01/052.jpg"/>
              mus: erit utique grauitatis centrum pyramidis punctum
                <lb/>
              g. in quo ſcilicet ipſi axes conueniunt.</s>
            </p>
            <p type="head">
              <s id="s.000464">THEOREMA XIIII. PROPOSITIO XVIII.</s>
            </p>
            <p type="main">
              <s id="s.000465">SI ſolidum parallelepipedum ſecetur plano
                <lb/>
              baſibus æquidiſtante; erit ſolidum ad ſolidum,
                <lb/>
              ſicut altitudo ad altitudinem, uel ſicut axis ad
                <lb/>
              axem.</s>
            </p>
            <figure id="id.023.01.052.1.jpg" xlink:href="023/01/052/1.jpg" number="42"/>
            <p type="main">
              <s id="s.000466">Sit ſolidum parallelepipe
                <lb/>
              dum abcdefgh, cuius axis
                <lb/>
              kl:
                <expan abbr="ſeceturq;">ſeceturque</expan>
              plano baſibus
                <lb/>
              æquidiſtante, quod faciat
                <lb/>
              ſectionem mnop; & axi in
                <lb/>
              puncto q occurrat. </s>
              <s id="s.000467">Dico
                <lb/>
              ſolidum gm ad ſolidum mc
                <lb/>
              eam proportionem habere,
                <lb/>
              quam altitudo ſolidi gm ha­
                <lb/>
              bet ad ſolidi mc altitudi­
                <lb/>
              nem; uel quam axis kq ad
                <lb/>
              axem ql. </s>
              <s id="s.000468">Si enim axis Kl ad
                <lb/>
              baſis planum ſit perpendicu
                <lb/>
                <figure id="id.023.01.052.2.jpg" xlink:href="023/01/052/2.jpg" number="43"/>
                <lb/>
              laris, & linea gc, quæ ex quin
                <lb/>
              ta huius ipſi kl æquidiſtat,
                <lb/>
              perpendicularis erit ad
                <expan abbr="idẽ">idem</expan>
                <lb/>
              planum, & ſolidi altitudi­
                <lb/>
                <arrow.to.target n="marg50"/>
                <lb/>
              nem dimetietur. </s>
              <s id="s.000469">Itaque ſo­
                <lb/>
              lidum gm ad ſolidum mc
                <lb/>
              eam proportionem habet,
                <lb/>
              quam parallelogramm
                <expan abbr="ũ">um</expan>
              gn
                <lb/>
              ad parallelogrammum nc,
                <lb/>
                <arrow.to.target n="marg51"/>
                <lb/>
              hoc eſt quam linea go, quæ </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum