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

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          <pb o="15" file="527.01.015" n="15" rhead="*DE* S*TATICÆ ELEMENTIS*."/>
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        <div xml:id="echoid-div65" type="section" level="1" n="54">
          <head xml:id="echoid-head63" xml:space="preserve">1 Exemplum.</head>
          <p>
            <s xml:id="echoid-s352" xml:space="preserve">D*ATVM*. </s>
            <s xml:id="echoid-s353" xml:space="preserve">Pondus A ſuſpenſum è C libras tres, pondusalterum B ſuſpen-
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            ſum è D unam pendeat, denique CD jugum ſit.</s>
            <s xml:id="echoid-s354" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s355" xml:space="preserve">Q*VAESITVM*. </s>
            <s xml:id="echoid-s356" xml:space="preserve">Anſa invenienda nobis eſt.</s>
            <s xml:id="echoid-s357" xml:space="preserve"/>
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        <div xml:id="echoid-div66" type="section" level="1" n="55">
          <head xml:id="echoid-head64" xml:space="preserve">PRAGMATIA.</head>
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            <image file="527.01.015-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.015-01"/>
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            <s xml:id="echoid-s358" xml:space="preserve">CD ita dividitor, ut majus ſegmentum quod minoris
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            ponderis eſt pendulam diametrum verſus, illam rationem
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            habeat ad minus, quam majus pondus ad minus. </s>
            <s xml:id="echoid-s359" xml:space="preserve">Sitq́ue
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            in E, ut quemadmodum 3 ℔ A, ad 1 ℔ B: </s>
            <s xml:id="echoid-s360" xml:space="preserve">ſic ſit ED,
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            ad EC. </s>
            <s xml:id="echoid-s361" xml:space="preserve">Dico lineam per E pendulam, eſſe anſam.</s>
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          <head xml:id="echoid-head65" xml:space="preserve">2 Exemplum.</head>
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            <s xml:id="echoid-s363" xml:space="preserve">D*ATVM*. </s>
            <s xml:id="echoid-s364" xml:space="preserve">Datum pondus eſto columna ABCD 6 ℔ pendens, ſimiliter
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            columnæ primæ propoſitionis diviſa. </s>
            <s xml:id="echoid-s365" xml:space="preserve">& </s>
            <s xml:id="echoid-s366" xml:space="preserve">ex Q ſuſpenſum pondus Y ℔ 12.</s>
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          <p>
            <s xml:id="echoid-s368" xml:space="preserve">Q*VAE SITVM*. </s>
            <s xml:id="echoid-s369" xml:space="preserve">Anſa invenienda eſt.</s>
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        <div xml:id="echoid-div68" type="section" level="1" n="57">
          <head xml:id="echoid-head66" xml:space="preserve">*PRAGMATIA*.</head>
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            <s xml:id="echoid-s371" xml:space="preserve">Columnæ pendula gravitatis diametrus
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            eſt IT, ponderis verò Y eſt BQ, TQ ju-
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            gum ita dirimédum eſt, ut ejus ſegmenta ra-
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            tionem habeant, quæ eſt inter 12 ℔ Y, & </s>
            <s xml:id="echoid-s372" xml:space="preserve">
              <lb/>
            6 ℔ columnæ, breviusq́; </s>
            <s xml:id="echoid-s373" xml:space="preserve">ſegmentum pon-
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            deroſioris Y diametrum verſus ſit, quæ eſt
              <lb/>
            in X. </s>
            <s xml:id="echoid-s374" xml:space="preserve">ut NX anſa ſit quæſita.</s>
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          <head xml:id="echoid-head67" xml:space="preserve">3 Exemplum.</head>
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            <s xml:id="echoid-s376" xml:space="preserve">D*ATVM*. </s>
            <s xml:id="echoid-s377" xml:space="preserve">ABCD iterum columna eſto. </s>
            <s xml:id="echoid-s378" xml:space="preserve">ſecta ut paulò ante, & </s>
            <s xml:id="echoid-s379" xml:space="preserve">Y 6 ℔
              <lb/>
            ex X pendeto.</s>
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            <s xml:id="echoid-s381" xml:space="preserve">Q*VAESITVM*. </s>
            <s xml:id="echoid-s382" xml:space="preserve">Anſa eſt nobis quærĕda.</s>
            <s xml:id="echoid-s383" xml:space="preserve"/>
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          <head xml:id="echoid-head68" xml:space="preserve">*PRAGMATIA.*</head>
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            <s xml:id="echoid-s384" xml:space="preserve">Columnę pendula diameter eſt IT pon-
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            deris verò Y, NX, TX jugum ita parti-
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            tum, ut ſegmenta rationem habeant 6 ℔ Y,
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            ad 6 ℔ columnæ, quod in V incidit, eritq́ue
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            VL anſa quæſita.</s>
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          </p>
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        <div xml:id="echoid-div71" type="section" level="1" n="60">
          <head xml:id="echoid-head69" xml:space="preserve">*PRAGMATIA ALIVSMODI.*</head>
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            <s xml:id="echoid-s386" xml:space="preserve">PEndula diametros ponderis MLBCY eſt NX, MLAD verò eſt SG,
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            & </s>
            <s xml:id="echoid-s387" xml:space="preserve">jugum XS, quod ita ſecandum eſt, ut ſegmentorũ ratio ſit eadem quæ
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            8 ℔ pondens MLBCY ad 4 ℔ MLAD, & </s>
            <s xml:id="echoid-s388" xml:space="preserve">illorum brevius à diametro pen-
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            dulâ quæ eſt V gravius pondus verſus ſit, atque hoc modo VL quæſita erit
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            anſa, ut prius.</s>
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