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

Table of contents

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[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.
[111.] DEMONSTRATIO.
[112.] 2 Exemplum obliquorum ponderum.
[113.] DEMONSTRATIO.
[114.] 3 Exemplum.
[115.] DEMONSTRATIO.
[116.] 8 PROBLEMA. 14 PROPOSITIO.
[117.] PRAGMATIA.
[118.] DEMONSTRATIO.
[119.] NOTATO
[120.] 1 C*ONSECTARIUM*.
[121.] 2 C*ONSECTARIUM*.
[122.] 7 THEOREMA. 15 PROPOSITIO.
[123.] DECLARATIO.
[124.] 8 THEOREMA. 16 PROPOSITIO.
[125.] DEMONSTRATIO.
[126.] 9 THEOREMA. 17 PROPOSITIO.
[127.] DEMONSTRATIO.
[128.] C*ONSECTARIUM*.
[129.] 10 THEOREMA. 18 PROPOSITIO.
[130.] C*ONSECTARIUM*.
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              <pb o="103" file="527.01.103" n="103" rhead="*DE STATICÆ PRAXI.*"/>
            tia appellare liceat) erit qualem in ſubjectâ figurà expreſſimus.</s>
            <s xml:id="echoid-s3056" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3057" xml:space="preserve">Exemplum verò hoc quod quatuor duntaxat axibus effinximus augeri mi-
              <lb/>
            nuive, & </s>
            <s xml:id="echoid-s3058" xml:space="preserve">ratio dentium 18 majoris tympani quæ minori comparata tripla eſt,
              <lb/>
            ad libitum item mutari poterit pro modo mechanicis effectionibus quibus
              <lb/>
            Pancration iſtud deformabis congruente.</s>
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        <div xml:id="echoid-div426" type="section" level="1" n="302">
          <head xml:id="echoid-head317" xml:space="preserve">DE VSV ALIISQVE PANCRATIO
            <lb/>
          ACCIDENTIBVS.</head>
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            <s xml:id="echoid-s3060" xml:space="preserve">PAncratii noſtri uſum unico duntaxat exemplo quod cæteris facem prælu-
              <lb/>
            ceat, reddemus illuſtriorem; </s>
            <s xml:id="echoid-s3061" xml:space="preserve">videlicet quâ ratione ipſo in ſuculam transfor-
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            mato ejus adjumento naves trans aggeres ſeptaq́ue ſeu aquarum obices tradu-
              <lb/>
            cantur; </s>
            <s xml:id="echoid-s3062" xml:space="preserve">neque enim hinc parum utilitatis ad regiones has, præcipuè verò Hol-
              <lb/>
            landos redundabit. </s>
            <s xml:id="echoid-s3063" xml:space="preserve">Eſto igitur Pancration A B, tympana dentata K, H, F in
              <lb/>
            fronte trabis; </s>
            <s xml:id="echoid-s3064" xml:space="preserve">I, G, E, C in tergo, L M N manubrium ſeu ut Pappus in me-
              <lb/>
            chanicis loquitur λάβη, axis autem cui funis ductarius obvolvitur S craſſitie
              <lb/>
            ſeſquipedali per trabem trajectus emineat capitulo quadrato cui affigatur den-
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              <figure xlink:label="fig-527.01.103-01" xlink:href="fig-527.01.103-01a" number="151">
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            tatum tympanum T, diametri bipedalis per ambitum 36 dentibus diſtinctus,
              <lb/>
            arque aſteriſcus hic minimum tam amplus formandus axe S ne rotatus ejus ab
              <lb/>
            I tympano impediatur. </s>
            <s xml:id="echoid-s3065" xml:space="preserve">Deniq; </s>
            <s xml:id="echoid-s3066" xml:space="preserve">ſummitas aggeris V iuperet imam carinam na-
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            vis X aquę innatantis pedibus quatuor, hoc eſt, ut perpendicularis à ſummo
              <lb/>
            aggere demiſſa in planum horizonti parallelum per imam carinam actum, ſit
              <lb/>
            pedum quatuor. </s>
            <s xml:id="echoid-s3067" xml:space="preserve">Iam ut navis trans aggerem traducatur circumducito manu-
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            brium LMN, oportebit igitur ſcapum MN tantâ longitudine conſtrui ut
              <lb/>
            omnes quorum opera opus erit commodè hinc inde conſiſtant.</s>
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