Stevin, Simon, Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis, 1605

Page concordance

< >
Scan Original
51 51
52
53
54
55 55
56 56
57 57
58 58
59 59
60 60
61 61
62 62
63 63
64 64
65 65
66 66
67 67
68 68
69 69
70 70
71 71
72 72
73 73
74 74
75 75
76 76
77 77
78
79
80
< >
page |< < (41) of 197 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div199" type="section" level="1" n="144">
          <p>
            <s xml:id="echoid-s1260" xml:space="preserve">
              <pb o="41" file="527.01.041" n="41" rhead="*DE* S*TATICÆ ELEMENTIS*."/>
            quod Mathematicè quoque ex 22 propoſit. </s>
            <s xml:id="echoid-s1261" xml:space="preserve">patebit. </s>
            <s xml:id="echoid-s1262" xml:space="preserve">Quapropter ratio KF
              <lb/>
            ad FH non eſt alia, quam I ad G.</s>
            <s xml:id="echoid-s1263" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1264" xml:space="preserve">Ex hifce jam dictis hujuſmodi theoremata deducimus.</s>
            <s xml:id="echoid-s1265" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div201" type="section" level="1" n="145">
          <head xml:id="echoid-head157" xml:space="preserve">12 THE OREMA. 20 PROPOSITIO.</head>
          <p>
            <s xml:id="echoid-s1266" xml:space="preserve">Siaxis columnæ puncta habeat, firmũ, & </s>
            <s xml:id="echoid-s1267" xml:space="preserve">mobile, & </s>
            <s xml:id="echoid-s1268" xml:space="preserve">ex
              <lb/>
            iſto dependentia pondera, unum rectè, alterum obliquè
              <lb/>
            extollens, in dato ſitu columnam cõſervant: </s>
            <s xml:id="echoid-s1269" xml:space="preserve">erit quemad-
              <lb/>
            modum linea rectè extollens ad lineam obliquè extollen-
              <lb/>
            tem; </s>
            <s xml:id="echoid-s1270" xml:space="preserve">ita illius pondus, ad pondus hujus.</s>
            <s xml:id="echoid-s1271" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1272" xml:space="preserve">D*ATVM*. </s>
            <s xml:id="echoid-s1273" xml:space="preserve">AB columna eſto, cujus axis ſit C D, in eoq́ue E punctum fir-
              <lb/>
            mum, F mobile, cui G pondus rectè extollens appenſum columnam in dato
              <lb/>
            ſitu ſervat; </s>
            <s xml:id="echoid-s1274" xml:space="preserve">indidĕ etiam obliquum pondus H dependens (coërcito vel amo-
              <lb/>
            to G) in ſuo ſitu eandem detinet. </s>
            <s xml:id="echoid-s1275" xml:space="preserve">Latus columnæ à lineâ r
              <unsure/>
            ectè extollente in I,
              <lb/>
            ab obliquè extollente in K ſecatur. </s>
            <s xml:id="echoid-s1276" xml:space="preserve">Dico igitur quemadmodũ rectè extollens
              <lb/>
            I F ad obliquè tollentem FK: </s>
            <s xml:id="echoid-s1277" xml:space="preserve">ita rectum pondus G, ad pondus obliquum
              <lb/>
            H. </s>
            <s xml:id="echoid-s1278" xml:space="preserve">Proportionis iſtius demonſtratio, ex doctrinâ antecedĕtemanifeſta eſt.</s>
            <s xml:id="echoid-s1279" xml:space="preserve"/>
          </p>
          <figure number="72">
            <image file="527.01.041-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.041-01"/>
          </figure>
        </div>
      </text>
    </echo>
Impressum