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

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              <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
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            ad FH non eſt alia, quam I ad G.</s>
            <s xml:id="echoid-s1263" xml:space="preserve"/>
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          <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"/>
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        <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
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            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-
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            modum linea rectè extollens ad lineam obliquè extollen-
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            tem; </s>
            <s xml:id="echoid-s1270" xml:space="preserve">ita illius pondus, ad pondus hujus.</s>
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            <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-
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            mum, F mobile, cui G pondus rectè extollens appenſum columnam in dato
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            ſitu ſervat; </s>
            <s xml:id="echoid-s1274" xml:space="preserve">indidĕ etiam obliquum pondus H dependens (coërcito vel amo-
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            to G) in ſuo ſitu eandem detinet. </s>
            <s xml:id="echoid-s1275" xml:space="preserve">Latus columnæ à lineâ r
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            ectè extollente in I,
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            ab obliquè extollente in K ſecatur. </s>
            <s xml:id="echoid-s1276" xml:space="preserve">Dico igitur quemadmodũ rectè extollens
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            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>
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