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

Table of Notes

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            <s xml:id="echoid-s3006" xml:space="preserve">
              <pb o="101" file="527.01.101" n="101" rhead="*DE STATICÆ PRAXI.*"/>
            aliud pondus N rectâ attollens priſmati expoſito ſitu quoque æquipondium;
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            </s>
            <s xml:id="echoid-s3007" xml:space="preserve">horizonti autem perpendicularis B O rectam A H interſecet in O: </s>
            <s xml:id="echoid-s3008" xml:space="preserve">quæ cum
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            ita ſint, Ajo per 20 propoſ. </s>
            <s xml:id="echoid-s3009" xml:space="preserve">1 lib. </s>
            <s xml:id="echoid-s3010" xml:space="preserve">A O, O B ponderibus M, N, proportionales
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            eſſe, ſed quia N connexum eſt cum L expoſiti priſmatis I K gravitatis centro,
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            ipſum N per 14 propoſ 1 lib. </s>
            <s xml:id="echoid-s3011" xml:space="preserve">priſmati erit æquipondium, unde efficitur A O
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            eſſe ad O B, ſicut M ad priſma I K. </s>
            <s xml:id="echoid-s3012" xml:space="preserve">Atqueita primæ objectioni occurrimus ſi
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            A H ductarius funis per L gravitatis centrum tranſeat.</s>
            <s xml:id="echoid-s3013" xml:space="preserve"/>
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            <s xml:id="echoid-s3014" xml:space="preserve">Secundæ objectioni autem
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              <figure xlink:label="fig-527.01.101-01" xlink:href="fig-527.01.101-01a" number="148">
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            cum AH infra ſuprave centrum
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            L conſiſtet hoc modo obviam
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            imus. </s>
            <s xml:id="echoid-s3015" xml:space="preserve">Priſma I K pendulæ ſuæ
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            gravitatis diametro L P innixũ
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            recta ſurſum tollitor. </s>
            <s xml:id="echoid-s3016" xml:space="preserve">jam per 3
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            poſtulatum ipſum currui A B C
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            non eſt majori pondere onero
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            ſum quam fuerat in priore ſitu,
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            atque ideo non erit opus ut M
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            nunc potentius agat quam ante;
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            </s>
            <s xml:id="echoid-s3017" xml:space="preserve">ſed H A continuatus meat ſub
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            centro L, quamobrem M idem
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            pondus ducit quod ante, cum
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            H A ad ipſum gravitatis cen-
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            trum pertineret. </s>
            <s xml:id="echoid-s3018" xml:space="preserve">Demonſtratio huicaffinis erit quando AH continuatus ſupra
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            gravitatis centrum L meabit, boc eſt, cum priſma IK recta deorſum ſub curru
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            trahetur. </s>
            <s xml:id="echoid-s3019" xml:space="preserve">Quamobrem utramque iſtam {απο}ρίαυ rationibus mathematicis ex-
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            plicavimus.</s>
            <s xml:id="echoid-s3020" xml:space="preserve"/>
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        <div xml:id="echoid-div423" type="section" level="1" n="301">
          <head xml:id="echoid-head316" xml:space="preserve">10 PROPOSITIO.</head>
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            <s xml:id="echoid-s3021" xml:space="preserve">Infinitæ potentiæ formas & </s>
            <s xml:id="echoid-s3022" xml:space="preserve">accidentia exponere.</s>
            <s xml:id="echoid-s3023" xml:space="preserve"/>
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            <s xml:id="echoid-s3024" xml:space="preserve">Variæ machinæ humano ingenio ad effectiones mechanicas excogitantur,
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            quarũ potentia infinite augeri poſſit unde & </s>
            <s xml:id="echoid-s3025" xml:space="preserve">nomen ſortitas infinitas potentias
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            appellant, quarũ hic ſcopus eſt, videlicet quę potĕtia effectrix dato inſtrumento,
              <lb/>
            æquivalens ſit põderi mobili. </s>
            <s xml:id="echoid-s3026" xml:space="preserve">Vel quanto tempore pondus ad datum interval-
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            lum promoveatur atq; </s>
            <s xml:id="echoid-s3027" xml:space="preserve">his conſimilia; </s>
            <s xml:id="echoid-s3028" xml:space="preserve">huic negotio exprimam inſtrumentum
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            ſimpliciſſimũ quidem quantũ res ipſa feret, quo tamen commodiſſimè inſtitu-
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            tum meum explicem, ubi ante de machina Archimedis infinitæ potentiæ, cujus
              <lb/>
            Plutarchus aliiq́ meminerunt, pauca retulero. </s>
            <s xml:id="echoid-s3029" xml:space="preserve">Cum enim Hiero Siciliæ Tyran-
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            nus navem immenſæ magnitudinis, formaq́ue in ſpeciem perquam eleganti,
              <lb/>
            cõſtruxiſſet uteam Ptolomæo Æ gypti Regi dono mitteret; </s>
            <s xml:id="echoid-s3030" xml:space="preserve">Hanc univerſæ Sira-
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            cuſæ ſummo conamine è littore in altum deducere nequibant; </s>
            <s xml:id="echoid-s3031" xml:space="preserve">ſed poſtquam
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            Archimedes inſtrumenta machinaſq́ue admoviſſet Rex Hiero ſola manu navem
              <lb/>
            impulit. </s>
            <s xml:id="echoid-s3032" xml:space="preserve">Machina autem hæc Archimedea Charistion dicta, (cujus formam & </s>
            <s xml:id="echoid-s3033" xml:space="preserve">
              <lb/>
            deſcriptionem in Regia Bibliotheca inventam Iacobus Beſſonius publicavit) axes
              <lb/>
            habebat cum infinitis cochleis, inventum ſane dignum quod ad poſteritatem
              <lb/>
            tranſmittatur, cujus deſcriptio quia præſenti inſtituto aſſidet, huic loco conve-
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            niret, in ipſi ſubſtituerem infinitam hanc potentiam, quâ communis cæterarum
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            ſimilium infinitæ potentiæ machinarum affectio commodiffime explicabitur,
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            quæque, ut mihi quidem videtur, iſti operi ſit aptior. </s>
            <s xml:id="echoid-s3034" xml:space="preserve">Cum ſit materiâ </s>
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