Valerio, Luca, De centro gravitatis solidorvm libri tres

Page concordance

< >
Scan Original
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
< >
page |< < of 283 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/042.jpg" pagenum="34"/>
              ducantur rectæ GBH, GAF, quæ cum KE, produ­
                <lb/>
              cta conueniant in punctis F, H: & fiant parallelogramma
                <lb/>
              FL, AK. </s>
              <s>Quoniam igitur eſt vt N, ad R, ita BC, ad
                <lb/>
              CA, hoc eſt AD, ad DB, hoc eſt rectangulum AK, ad
                <lb/>
              rectangulum BK; erit permutando vt rectangulum AK,
                <lb/>
              ad N, ita rectangulum BK, ad R; ſed rectangulum BK,
                <lb/>
              eſt pars quarta ipſius R, ergo & rectangulum AK, erit
                <lb/>
              pars quarta ipſius N. </s>
              <s>Rurſus quia eſt vt GD, ad D
                <emph type="italics"/>
              K
                <emph.end type="italics"/>
              ,
                <lb/>
              ita GA, ad AF, & GB, ad BH: ſed GD eſt æqualis
                <lb/>
              DK; ergo & GA, ipſi AF, & GB, ipſi BH, æquales
                <lb/>
              erunt & centra grauita­
                <lb/>
              tis A, quidem rectangu­
                <lb/>
              li MK, B, vero rectan­
                <lb/>
              guli KL, & rectangulum
                <lb/>
              AK, pars quarta ipſius
                <lb/>
              M
                <emph type="italics"/>
              K
                <emph.end type="italics"/>
              , quemadmodum
                <lb/>
              & B
                <emph type="italics"/>
              K
                <emph.end type="italics"/>
              ipſius KL; ſed
                <lb/>
              N, rectanguli AK, qua­
                <lb/>
              druplum erat, quemad­
                <lb/>
              modum & R ipſius BK;
                <lb/>
              igitur rectangulum MK,
                <lb/>
              ſpacio N, & rectangulum
                <lb/>
              KL, ſpacio R, æquale
                <lb/>
              erit. </s>
              <s>Sed vt BC, ad CA,
                <lb/>
              ita eſt N, ad R; vt igi­
                <lb/>
              tur BC, ad CA, ita
                <lb/>
                <figure id="id.043.01.042.1.jpg" xlink:href="043/01/042/1.jpg" number="24"/>
                <lb/>
              rectangulum MK, ad rectangulum KL; ſed A eſt cen­
                <lb/>
              trum grauitatis rectanguli MK, & B, rectanguli KL; to­
                <lb/>
              tius ergo rectanguli FL, hoc eſt duorum rectangulorum
                <lb/>
              MK, KL, ſimul centrum grauitatis erit C. </s>
              <s>Sed rectan­
                <lb/>
              gulo MK, æquale eſt ſpacium N; & rectangulo KL, ſpa­
                <lb/>
              cium R. </s>
              <s>Igitur ſi pro rectangulo MK, ſit ſuſpenſum N
                <lb/>
              ſpacium ſecundum centrum grauitatis in puncto A, & pro
                <lb/>
              rectangulo KL, ſpacium R, ſecundum centrum graui-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum