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

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          <p>
            <s xml:id="echoid-s4165" xml:space="preserve">
              <pb o="139" file="527.01.139" n="139" rhead="*DE* H*YDROSTATICES ELEMENTIS*."/>
            K L biſecet latera A B, D C, cujus triens inferior L M, atque L N ſemiſſis,
              <lb/>
            ſeu quod idem eſt N ſit centrum fundi parallelogrammi A B C D: </s>
            <s xml:id="echoid-s4166" xml:space="preserve">Denique
              <lb/>
            intervallum M N itaſecetur in O, ut M O ad O N ſit quemadmodum G A
              <lb/>
            ad H I. </s>
            <s xml:id="echoid-s4167" xml:space="preserve">Q*VAESITVM*. </s>
            <s xml:id="echoid-s4168" xml:space="preserve">Gravitatis centrum preſſus aquæ in fundo A B C D
              <lb/>
            in O conſiſtere demonſtrator. </s>
            <s xml:id="echoid-s4169" xml:space="preserve">P*RAEPARATIO*. </s>
            <s xml:id="echoid-s4170" xml:space="preserve">C B, D A uſqueadaquæ
              <lb/>
            ſuperficiem in P & </s>
            <s xml:id="echoid-s4171" xml:space="preserve">E, continuan-
              <lb/>
              <figure xlink:label="fig-527.01.139-01" xlink:href="fig-527.01.139-01a" number="198">
                <image file="527.01.139-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.139-01"/>
              </figure>
            tor; </s>
            <s xml:id="echoid-s4172" xml:space="preserve">ſit q́ue C Q horizonti paralle-
              <lb/>
            la lateri C D perpendicularis ipſiq́;
              <lb/>
            </s>
            <s xml:id="echoid-s4173" xml:space="preserve">adeò C P æqualis; </s>
            <s xml:id="echoid-s4174" xml:space="preserve">denique B R,
              <lb/>
            A S, lateri C T, item R T, S V ipſi
              <lb/>
            B C æquales conſtituantur & </s>
            <s xml:id="echoid-s4175" xml:space="preserve">pa-
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            rallelæ.</s>
            <s xml:id="echoid-s4176" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4177" xml:space="preserve">Hanc alteram figuram antece-
              <lb/>
            denti E P C D Q æqualem, ſimi-
              <lb/>
            lem, & </s>
            <s xml:id="echoid-s4178" xml:space="preserve">æquipondiam deformato,
              <lb/>
            cujus latus C D horizonti ad per-
              <lb/>
              <figure xlink:label="fig-527.01.139-02" xlink:href="fig-527.01.139-02a" number="199">
                <image file="527.01.139-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.139-02"/>
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            pendiculũ immineat ſitq́; </s>
            <s xml:id="echoid-s4179" xml:space="preserve">X centrũ
              <lb/>
            gravitatis columnę ABCDRSVT,
              <lb/>
            atque Y centrum gravitatis priſma-
              <lb/>
            tis R S V T Q; </s>
            <s xml:id="echoid-s4180" xml:space="preserve">denique jungito
              <lb/>
            X N, Y M.</s>
            <s xml:id="echoid-s4181" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div591" type="section" level="1" n="426">
          <head xml:id="echoid-head443" xml:space="preserve">DEMONSTRATIO.</head>
          <p>
            <s xml:id="echoid-s4182" xml:space="preserve">Cum in ſecundo hoc diagram-
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            mate X gravitatis centrum ſit pa-
              <lb/>
            rallelepipedi A B C D R S V T, & </s>
            <s xml:id="echoid-s4183" xml:space="preserve">
              <lb/>
            N baſis A B C D, itemq́ue C T
              <lb/>
            horizonti perpendicularis, etiam
              <lb/>
            X N horizonti perpendicularis ejusq́; </s>
            <s xml:id="echoid-s4184" xml:space="preserve">gravitatis pendula diameter erit. </s>
            <s xml:id="echoid-s4185" xml:space="preserve">ideoq́;
              <lb/>
            </s>
            <s xml:id="echoid-s4186" xml:space="preserve">N eſt columnæ iſtius preſſionis centrum, quod autem M ſit preſſus corporis
              <lb/>
            S R T V Q gravitatis centrum è 18 propoſ. </s>
            <s xml:id="echoid-s4187" xml:space="preserve">perſpicitur, quamobrem M N erit
              <lb/>
            ipſorum jugum, iſtud autem in O ita eſt ſectum ut ratio ſegmentorum O M,
              <lb/>
            O N eadem ſit quæ A G ad A I, ſed ita quoq e eſt parallelepipedum
              <lb/>
            A B C D R S V T ad priſma S R T V Q: </s>
            <s xml:id="echoid-s4188" xml:space="preserve">itaq; </s>
            <s xml:id="echoid-s4189" xml:space="preserve">æqueordinatè ut ABCDRSVT
              <lb/>
            ad S R T V Q ſic O M ad O N. </s>
            <s xml:id="echoid-s4190" xml:space="preserve">quare per 1 propoſ. </s>
            <s xml:id="echoid-s4191" xml:space="preserve">1 lib. </s>
            <s xml:id="echoid-s4192" xml:space="preserve">Elem. </s>
            <s xml:id="echoid-s4193" xml:space="preserve">Static. </s>
            <s xml:id="echoid-s4194" xml:space="preserve">O cen-
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            trum erit preſſionis hujus ſecundæ figuræ. </s>
            <s xml:id="echoid-s4195" xml:space="preserve">Et cum, propter cauſas jam ſæpe di-
              <lb/>
            ctas, primæ ſecundæq́; </s>
            <s xml:id="echoid-s4196" xml:space="preserve">figuræ centra ſimili ſitu congruant, O quoque in prima
              <lb/>
            figura gravitatis erit centrum.</s>
            <s xml:id="echoid-s4197" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4198" xml:space="preserve">C*ONCLVSIO*. </s>
            <s xml:id="echoid-s4199" xml:space="preserve">Itaque ſi parallelogrammi ad horizontem inclinati, & </s>
            <s xml:id="echoid-s4200" xml:space="preserve">c.</s>
            <s xml:id="echoid-s4201" xml:space="preserve"/>
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        <div xml:id="echoid-div592" type="section" level="1" n="427">
          <head xml:id="echoid-head444" xml:space="preserve">7 PROBLEMA. 20 PROPOSITIO.</head>
          <p>
            <s xml:id="echoid-s4202" xml:space="preserve">Dati fundi plani rectilinei, preſſus gravitatis centrum
              <lb/>
            invenire.</s>
            <s xml:id="echoid-s4203" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4204" xml:space="preserve">D*ATVM*. </s>
            <s xml:id="echoid-s4205" xml:space="preserve">Aquæ A B ſuperficies ſuperna A C, datumq́ue fundum recti-
              <lb/>
            lineum D E. </s>
            <s xml:id="echoid-s4206" xml:space="preserve">Q*VAESITVM*. </s>
            <s xml:id="echoid-s4207" xml:space="preserve">Preſſus gravitatis centrum in fundo iſtoc col-
              <lb/>
            le
              <unsure/>
            cti invenire.</s>
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