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

Table of contents

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[81.] DEMONSTRATIO.
[82.] NOTATO.
[83.] 2 THEOREMA. 6 PROPOSITIO.
[84.] DEMONSTRATIO.
[85.] 3 THEOREMA. 7 PROPOSITIO.
[86.] DEMONSTRATIO.
[87.] 4 THEOREMA. 8 PROPOSITIO.
[88.] DEMONSTRATIO.
[89.] 1 NOTA.
[90.] 2 NOTA.
[91.] 5 THEOREMA. 9 PROPOSITIO.
[92.] DEMONSTRATIO.
[93.] 1 C*ONSECTARIUM.*
[94.] 2 C*ONSECTARIUM.*
[95.] 5 PROBLEMA. 10 PROPOSITIO.
[96.] PRAGMATIA.
[97.] DEMONSTRATIO.
[98.] 6 PROBLEMA. 11 PROPOSITIO.
[99.] 1 NOTA.
[100.] 2 NOTA.
[101.] PRAGMATIA.
[102.] 7 PROBLEMA. 12 PROPOSITIO.
[103.] 1 Exemplum.
[104.] PRAGMATIA.
[105.] DEMONSTRATIO.
[106.] 2 Exemplum.
[107.] PRAGMATIA.
[108.] DEMONSTRATIO.
[109.] 6 THEOREMA. 13 PROPOSITIO.
[110.] I Exemplum rectorum ponderum.
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        <div xml:id="echoid-div446" type="section" level="1" n="319">
          <head xml:id="echoid-head334" xml:space="preserve">INTERPRETAMENTVM.</head>
          <p>
            <s xml:id="echoid-s3212" xml:space="preserve">Hujus generis ſunt circuli, ellipſes, parallelogramma, cæteræq́ue figuræ or-
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            dinatæ quas circulus recipit laterum numero pari, denique quâcunque ſint
              <lb/>
            forma, ut ſubjectæ A, B, atque iſtis ſimi-
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            les infinitæ, quæ rectâ quâcunque per
              <lb/>
            centrum acta perpetuò bipartito divi-
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            duntur. </s>
            <s xml:id="echoid-s3213" xml:space="preserve">contra igitur irregulares dicen-
              <lb/>
            tur illæ quas quælibet ſua diametros bi-
              <lb/>
            fariam non partitur, huc referes triangu-
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            la reliquaque polygona laterum numero
              <lb/>
            impari, atque id genus cætera. </s>
            <s xml:id="echoid-s3214" xml:space="preserve">Defini-
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            tionem iſtam propoſui, quia ut in ſe-
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            quentibus perſpicitur, columna cujus baſis ſit fundum regulare, plano per pun-
              <lb/>
            cta in ambitu oppoſitarum hedrarum tranſverſim ſimiliter ſita trajecto, in duas
              <lb/>
            æquas partes perpetuò diſſecatur.</s>
            <s xml:id="echoid-s3215" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div448" type="section" level="1" n="320">
          <head xml:id="echoid-head335" xml:space="preserve">10 DEFINITIO.</head>
          <p>
            <s xml:id="echoid-s3216" xml:space="preserve">Inane eſt locus corporis expers.</s>
            <s xml:id="echoid-s3217" xml:space="preserve"/>
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          <head xml:id="echoid-head336" xml:space="preserve">11 DEFINITIO.</head>
          <p>
            <s xml:id="echoid-s3218" xml:space="preserve">Vacuum in quo aër duntaxa tineſt.</s>
            <s xml:id="echoid-s3219" xml:space="preserve"/>
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          <head xml:id="echoid-head337" xml:space="preserve">*POSTVLATA.*</head>
          <head xml:id="echoid-head338" xml:space="preserve">1 POSTVLATVM.</head>
          <p>
            <s xml:id="echoid-s3220" xml:space="preserve">Ponderitatem corporum in aëre appellari propriè, in
              <lb/>
            aqua autem ſecundum hy potheſin.</s>
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          </p>
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        <div xml:id="echoid-div451" type="section" level="1" n="323">
          <head xml:id="echoid-head339" xml:space="preserve">2 POSTVLATVM.</head>
          <p>
            <s xml:id="echoid-s3222" xml:space="preserve">Aquam propoſitam omnibus partibus eſſe ponderitatis
              <lb/>
            homogeneæ.</s>
            <s xml:id="echoid-s3223" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div452" type="section" level="1" n="324">
          <head xml:id="echoid-head340" xml:space="preserve">3 POSTVLATVM.</head>
          <p>
            <s xml:id="echoid-s3224" xml:space="preserve">Pondus à quo vas minus altè deprimitur, levius: </s>
            <s xml:id="echoid-s3225" xml:space="preserve">quo al-
              <lb/>
            tiùs, graviùs: </s>
            <s xml:id="echoid-s3226" xml:space="preserve">quo æquèaltè, æquipondium eſſe.</s>
            <s xml:id="echoid-s3227" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div453" type="section" level="1" n="325">
          <head xml:id="echoid-head341" xml:space="preserve">4 POSTVLATVM.</head>
          <p>
            <s xml:id="echoid-s3228" xml:space="preserve">Vas ſuperficiarium aquam, aliamq́ue materiem conti-
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            nere utipſum nec frangatur, nec flectatur.</s>
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          </p>
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          <head xml:id="echoid-head342" xml:space="preserve">5 POSTVLATVM.</head>
          <p>
            <s xml:id="echoid-s3230" xml:space="preserve">Vas ſuperficiarum effuſa aqua vacuum eſſe.</s>
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