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

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        <div xml:id="echoid-div331" type="section" level="1" n="237">
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            <s xml:id="echoid-s2259" xml:space="preserve">
              <pb o="70" file="527.01.070" n="70" rhead="2 L*IBER* S*TATICÆ*"/>
            plura priſmata baſis quadrangulæ in datum
              <lb/>
              <figure xlink:label="fig-527.01.070-01" xlink:href="fig-527.01.070-01a" number="112">
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            inſcribuntur eo minus ab eodem differunt;
              <lb/>
            </s>
            <s xml:id="echoid-s2260" xml:space="preserve">quamobrem infinita iſta inſcriptione eô
              <lb/>
            tandem adſcenditur ut inſcripti & </s>
            <s xml:id="echoid-s2261" xml:space="preserve">circum-
              <lb/>
            ſcripti differentia quamcunque minimo ſo-
              <lb/>
            lido minor adhuc ſit. </s>
            <s xml:id="echoid-s2262" xml:space="preserve">Vnde efficitur gravi-
              <lb/>
            tatem ſitus unius ſegmenti D F C B, a gra-
              <lb/>
            vitate ſitus reliqui ſegmenti abeſſe etiam mi-
              <lb/>
            nori differentia quam cujuſcunque minimi
              <lb/>
            corporis quod quidem exhiberi poſſit. </s>
            <s xml:id="echoid-s2263" xml:space="preserve">
              <lb/>
            quamobrem ſic ediſſero.</s>
            <s xml:id="echoid-s2264" xml:space="preserve"/>
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          <p style="it">
            <s xml:id="echoid-s2265" xml:space="preserve">Inæqualium & </s>
            <s xml:id="echoid-s2266" xml:space="preserve">ſitu @ravium ponderum differentiâ pondus minus exhiberi poteſt.
              <lb/>
            </s>
            <s xml:id="echoid-s2267" xml:space="preserve">Sed horum ponderũ ſitu gravium differentiâ pondus minus exhiberi nullum poteſt. </s>
            <s xml:id="echoid-s2268" xml:space="preserve">
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            Itaque horum ponderum ſitu gravium differentia nulla eſt.</s>
            <s xml:id="echoid-s2269" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s2270" xml:space="preserve">Ideoq́; </s>
            <s xml:id="echoid-s2271" xml:space="preserve">planum actum per D E & </s>
            <s xml:id="echoid-s2272" xml:space="preserve">rectam in plano R S ſibi homologam, dati
              <lb/>
            priſmatis gravitatis centrum tranſit, ſimillimo argumento planum A Q per in-
              <lb/>
            clinationem laterum A D, A C, & </s>
            <s xml:id="echoid-s2273" xml:space="preserve">biſectionem rectæ D C eductum, idem
              <lb/>
            gravitatis centrum induere evinces; </s>
            <s xml:id="echoid-s2274" xml:space="preserve">ſed horum planorum communis ſectio, eſt
              <lb/>
            recta cõnectens centra gravitatis oppoſitarum baſium, qui axis eſt d@ti priſmatis
              <lb/>
            itaq; </s>
            <s xml:id="echoid-s2275" xml:space="preserve">centrum gravitatis conſiſtit in axe, eſt item in plano per R S oppoſitis
              <lb/>
            baſibus parallelo, hoc enim & </s>
            <s xml:id="echoid-s2276" xml:space="preserve">priſma & </s>
            <s xml:id="echoid-s2277" xml:space="preserve">axem bipartitò & </s>
            <s xml:id="echoid-s2278" xml:space="preserve">ſimili partium ſitu
              <lb/>
            diſpeſcit; </s>
            <s xml:id="echoid-s2279" xml:space="preserve">Quare centrum gravitatis ex in axis medio.</s>
            <s xml:id="echoid-s2280" xml:space="preserve"/>
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        <div xml:id="echoid-div333" type="section" level="1" n="238">
          <head xml:id="echoid-head252" xml:space="preserve">2 Exemplum.</head>
          <p>
            <s xml:id="echoid-s2281" xml:space="preserve">D*ATVM*. </s>
            <s xml:id="echoid-s2282" xml:space="preserve">Priſma A B eſto quadrangulæ baſis A C D E.</s>
            <s xml:id="echoid-s2283" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2284" xml:space="preserve">Q*VÆSITVM*. </s>
            <s xml:id="echoid-s2285" xml:space="preserve">Gravitatis centrum in axe conſiſtere.</s>
            <s xml:id="echoid-s2286" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2287" xml:space="preserve">P*RAEPARATIO*. </s>
            <s xml:id="echoid-s2288" xml:space="preserve">Solidum datum plano A D B in priſmata triangulę ba-
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            ſis ipſum componentia dirimatur. </s>
            <s xml:id="echoid-s2289" xml:space="preserve">Singulorum igitur gravitatis centrum per
              <lb/>
            1 exempl. </s>
            <s xml:id="echoid-s2290" xml:space="preserve">axem ſuum biſecat, Quare jugum cen-
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            tra connectens, pro ratione ponderum reciproce
              <lb/>
              <figure xlink:label="fig-527.01.070-02" xlink:href="fig-527.01.070-02a" number="113">
                <image file="527.01.070-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.070-02"/>
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            tributum, centrum quæſitum exhibebit, punctum
              <lb/>
            autem ipſum incidet in centro gravitatis plani priſ-
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            ma biſecantis & </s>
            <s xml:id="echoid-s2291" xml:space="preserve">baſibus paralleli, hoc eſt in ipſum
              <lb/>
            ſolidi axem quem medium ſecat.</s>
            <s xml:id="echoid-s2292" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s2293" xml:space="preserve">C*ONCLVSIO*. </s>
            <s xml:id="echoid-s2294" xml:space="preserve">Itaq; </s>
            <s xml:id="echoid-s2295" xml:space="preserve">priſmatis gravitatis cen-
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            trum axem medium incîdit.</s>
            <s xml:id="echoid-s2296" xml:space="preserve"/>
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        <div xml:id="echoid-div335" type="section" level="1" n="239">
          <head xml:id="echoid-head253" xml:space="preserve">11 THEOREMA. 16 PROPOSITIO.</head>
          <p>
            <s xml:id="echoid-s2297" xml:space="preserve">Pyramidis gravitatis centrum eſt in axe.</s>
            <s xml:id="echoid-s2298" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s2299" xml:space="preserve">D*ATVM*. </s>
            <s xml:id="echoid-s2300" xml:space="preserve">Pyramidis A B C D baſis triangula B C D, gravitatis centrum
              <lb/>
            E, axis eſto A E. </s>
            <s xml:id="echoid-s2301" xml:space="preserve">Q*VÆSITVM*. </s>
            <s xml:id="echoid-s2302" xml:space="preserve">Centrum gravitatis in ipſa A E conſiſtere
              <lb/>
            demonſtrator. </s>
            <s xml:id="echoid-s2303" xml:space="preserve">P*RAEPARATIO*. </s>
            <s xml:id="echoid-s2304" xml:space="preserve">Planum F G H baſi B C D parallelum,
              <lb/>
            ſecet datam pyramidem, ejuſque axem A E in I; </s>
            <s xml:id="echoid-s2305" xml:space="preserve">deinde F K, G L, H M, axi
              <lb/>
            parallelæ terminentur in baſi B C D. </s>
            <s xml:id="echoid-s2306" xml:space="preserve">Similiter pyramis ſecundo interſecetur
              <lb/>
            plano N O P baſi parallelo, & </s>
            <s xml:id="echoid-s2307" xml:space="preserve">axis in Q, hinc ſimiliter centra A E eductis pa-
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            rallelis N R, O S, P T, comprehendatur pyramis N O P R S T.</s>
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