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

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              <pb o="98" file="527.01.098" n="98" rhead="3 L*IBER* S*TATICÆ*"/>
            drupla ſit ipſius G F etiam pondus H quadruplum erit ipſius hominis, quare
              <lb/>
            poſita gravitate hominis I librarum 150, atque H 600 ℔, eo ſitu æquiponde-
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              <figure xlink:label="fig-527.01.098-01" xlink:href="fig-527.01.098-01a" number="143">
                <image file="527.01.098-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.098-01"/>
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            r
              <unsure/>
            abunt, neque H quoquam impelletur, ſed ſi ulterius tendat verſus A, etiam
              <lb/>
            H neceſſariò attolletur, quia ratio ipſius G K ad G F tum major foret quam in
              <lb/>
            theſi. </s>
            <s xml:id="echoid-s2939" xml:space="preserve">Si plures tympanum calcent, vicinior ipſi A aget potentius remotiore;
              <lb/>
            </s>
            <s xml:id="echoid-s2940" xml:space="preserve">atque per 3 prop. </s>
            <s xml:id="echoid-s2941" xml:space="preserve">1 lib. </s>
            <s xml:id="echoid-s2942" xml:space="preserve">cum ſingulorum tum etiam univerſorum potentia con-
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            cludetur.</s>
            <s xml:id="echoid-s2943" xml:space="preserve"/>
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        <div xml:id="echoid-div415" type="section" level="1" n="298">
          <head xml:id="echoid-head313" xml:space="preserve">3 Exemplums.</head>
          <p>
            <s xml:id="echoid-s2944" xml:space="preserve">Atqui ponderum quæ rectà attolluntur, ut ſunt onera quæcunque, ſarcinæ,
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            vaſa, quæ tympanorum ſubſidio è navibus eximuntur, ratio hujuſmodi eſt.
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            </s>
            <s xml:id="echoid-s2945" xml:space="preserve">Pondera verò obliquè adſcendentia, cujus generis ſunt naves quæ in Belgio ſæ-
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            pe trans aggeres & </s>
            <s xml:id="echoid-s2946" xml:space="preserve">aquarum obices traducuntur, rationem non paulò diver-
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            ſam habent. </s>
            <s xml:id="echoid-s2947" xml:space="preserve">Enimverò ſit agger A, B navis trans aggerem pertrahenda, C D
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            tympanum, diameter C D horizonti parallela, homo navi B ſitu ἰ{σό}ῤῥοπ & </s>
            <s xml:id="echoid-s2948" xml:space="preserve">
              <lb/>
            ſeu æquilibris habeat gravitatis diametrum F E, funis ductarius G H, axis ſo-
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            liditas I K. </s>
            <s xml:id="echoid-s2949" xml:space="preserve">& </s>
            <s xml:id="echoid-s2950" xml:space="preserve">centrum L: </s>
            <s xml:id="echoid-s2951" xml:space="preserve">deinde eſto M N normalis aggeris clivo, horizonti
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            autem perpendicularis ad idem punctum N ſit N O. </s>
            <s xml:id="echoid-s2952" xml:space="preserve">præterea L F ſextupla
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            eſt ſemidiametri L K; </s>
            <s xml:id="echoid-s2953" xml:space="preserve">& </s>
            <s xml:id="echoid-s2954" xml:space="preserve">N O tripla ipſius M O, pondus autem hominis tym-
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            panum calcantis ℔ 150. </s>
            <s xml:id="echoid-s2955" xml:space="preserve">Quæ cum ita ſint, erit ut L F ad L K, ſic ex antece-
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            dente I
              <unsure/>
            heoremate pondus è fune ductario ſuſpenſum rectà deſcendens, ad
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            gravitatem hominis 150 ℔, L F autem ex hypotheſi ſextupla eſt ipſius L K,
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            quamobrem pondus è fune H G recta deſcendens ſextuplum quoque eſſet
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            150 ℔, quæ ſunt 900 libræ, & </s>
            <s xml:id="echoid-s2956" xml:space="preserve">homo tympanum verſans tam potenter agit
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            quam 900 ℔ obliquâ trutinâ ſuſpenſæ. </s>
            <s xml:id="echoid-s2957" xml:space="preserve">Itaque per 20 propoſ. </s>
            <s xml:id="echoid-s2958" xml:space="preserve">1 lib. </s>
            <s xml:id="echoid-s2959" xml:space="preserve">pondus na-
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            vis B ita ſe habet ad 900 ℔, ut N O ad O M, ſed N O tripla eſt ipſius O </s>
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