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

Table of Notes

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            <s xml:id="echoid-s2959" xml:space="preserve">
              <pb o="99" file="527.01.099" n="99" rhead="DE S*TATICÆ PRAXI.*"/>
              <figure xlink:label="fig-527.01.099-01" xlink:href="fig-527.01.099-01a" number="144">
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            ex theſi, itaque navis eſt tripla 900 ℔, hoc eſt pendet 2700 ℔, cujus ratio ad gra-
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            vitatem hominis verſantis eſt octupla. </s>
            <s xml:id="echoid-s2960" xml:space="preserve">Atque hoc-quidem tali ſitu, ſed ſi navis
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            promoveatur & </s>
            <s xml:id="echoid-s2961" xml:space="preserve">ſurſum attollatur, ductarius funis eò adſcendet rectius (niſi for-
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            tè alibi in navi firmetur) & </s>
            <s xml:id="echoid-s2962" xml:space="preserve">conſequenter recta M O ad N O majorem habue-
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            rit rationem, & </s>
            <s xml:id="echoid-s2963" xml:space="preserve">propterea ſitus æquamentum paulò majus foret quam 900 ℔.
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            </s>
            <s xml:id="echoid-s2964" xml:space="preserve">Qui igitur & </s>
            <s xml:id="echoid-s2965" xml:space="preserve">axem & </s>
            <s xml:id="echoid-s2966" xml:space="preserve">tympanum juſtæ quantitatis fabricari cupiet, quod nec
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            mole ſua excedat, aut exilitate deficiat, rationem inibit ſitus, quo navis graviſ-
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            ſima cum erit, maxima potentia opus habebit.</s>
            <s xml:id="echoid-s2967" xml:space="preserve"/>
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            <s xml:id="echoid-s2968" xml:space="preserve">Advertendum autem è 24 propoſ. </s>
            <s xml:id="echoid-s2969" xml:space="preserve">1 lib. </s>
            <s xml:id="echoid-s2970" xml:space="preserve">hominis E potentiam, ſe tum exe-
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            rere maximè cum funis ductarius G H plano aggeris P N parallelus erit, tum
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            enim H G navis axi perpendicularis inſiſtit, hoc eſt, rectæ per navis gravitatis
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            centrum plano P N perpendiculari. </s>
            <s xml:id="echoid-s2971" xml:space="preserve">Quamobrem quanto G H, P N rectæ
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            ad paralleliſmum magis accedunt, tantò faciliús, & </s>
            <s xml:id="echoid-s2972" xml:space="preserve">ſi recedant difficilius ponde-
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            ra movebuntur.</s>
            <s xml:id="echoid-s2973" xml:space="preserve"/>
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        <div xml:id="echoid-div417" type="section" level="1" n="299">
          <head xml:id="echoid-head314" xml:space="preserve">4 Exemplum.</head>
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            <s xml:id="echoid-s2974" xml:space="preserve">Indidem planum eſt, quanto majori pondere æquus curru junctus clivumq́;
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            </s>
            <s xml:id="echoid-s2975" xml:space="preserve">adſcendens afficiatur, quam ſi eundem in planitie trahat. </s>
            <s xml:id="echoid-s2976" xml:space="preserve">Exponatur enim A B
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            montis clivus, currus C D 2000 ℔, E F funis eſto, G equus currui hoc ſitu
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            æquivalens, tum H I, I K perpendiculares plano A B, & </s>
            <s xml:id="echoid-s2977" xml:space="preserve">H I quadrupla ipſius
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            H K; </s>
            <s xml:id="echoid-s2978" xml:space="preserve">his poſitis, per 20 propoſ. </s>
            <s xml:id="echoid-s2979" xml:space="preserve">1 libri erit, ut K H ad H I, ſic pondus obliquè
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            attollens cujus vicem equus explet, ad gravitatem currus, ſed K H quarta pars
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            eſt H I ex theſi; </s>
            <s xml:id="echoid-s2980" xml:space="preserve">quamobrem pondus obliquè tollens foret 500 ℔ nimirum
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            quarta pars currus; </s>
            <s xml:id="echoid-s2981" xml:space="preserve">itaque antilena pectus equi non tam præmit, quam onus
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            @0 ℔ dorſum, atque hoc quidem (videlicet cum promovebitur) præter im-
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            preſtionem iſtam quâ afficitur in campi planitie trahens.</s>
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