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

Table of Notes

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              <pb o="188" file="527.01.188" n="188" rhead="A*DDITAMENTI* S*TATICÆ* P*ARS QVARTA*"/>
            ctus: </s>
            <s xml:id="echoid-s5184" xml:space="preserve">ſitq́ue prioris annelli contactus B ab equi pectore diſtantior, quam po-
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                <image file="527.01.188-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.188-01"/>
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            ſterioris D. </s>
            <s xml:id="echoid-s5185" xml:space="preserve">Q*VÆSITVM.</s>
            <s xml:id="echoid-s5186" xml:space="preserve">* Demonſtrandum eſt contactum annelli B plus
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            habere aſperitatis, quam D. </s>
            <s xml:id="echoid-s5187" xml:space="preserve">P*RÆPARATIO.</s>
            <s xml:id="echoid-s5188" xml:space="preserve">* Centro A, intervallo A B de-
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            circinetur peripheria B D E: </s>
            <s xml:id="echoid-s5189" xml:space="preserve">Iam annelli contactus B adducatur in F, & </s>
            <s xml:id="echoid-s5190" xml:space="preserve">D
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            in E, peripheriæq́ue D E B F ſunto æquales.</s>
            <s xml:id="echoid-s5191" xml:space="preserve"/>
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        <div xml:id="echoid-div722" type="section" level="1" n="518">
          <head xml:id="echoid-head551" xml:space="preserve">DEMONSTRATIO.</head>
          <p>
            <s xml:id="echoid-s5192" xml:space="preserve">Non dubium videtur, quin quanto B C linea longioreſt quam F C, tan-
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            to altius retrorſum adducta fuerit manus cum annelli cõtactus eſſet in loco F,
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            quam cum eſlet in B. </s>
            <s xml:id="echoid-s5193" xml:space="preserve">Haud aliter quanto D C major quam E C, tanto ma-
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            nus C elatius adducenda ſuit cum annelli contactus eſſet in E, quam cum in
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            D. </s>
            <s xml:id="echoid-s5194" xml:space="preserve">ſed E C, D C rectarum differentia major eſt, quam F C, B C. </s>
            <s xml:id="echoid-s5195" xml:space="preserve">Et quanta
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            ipſarum differentiarum differentia eſt, tanto elatius manus attollitur adducto
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            annelli contactu ab D in E, quam ab B in F. </s>
            <s xml:id="echoid-s5196" xml:space="preserve">Motus autem, ſeu peripheria
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            D E per conſtructionem æqualis eſt peripheriæ B F. </s>
            <s xml:id="echoid-s5197" xml:space="preserve">quare manus C, æqua-
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            libus ductuum peripheriis ab punctis B & </s>
            <s xml:id="echoid-s5198" xml:space="preserve">D altius tollitur ab D, quam à B.
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            </s>
            <s xml:id="echoid-s5199" xml:space="preserve">ideoque ſi utrobique manus D æquali altitudine attollenda eſſet, major eſſet
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            motus peripheria ab B in F, quam ab D in E. </s>
            <s xml:id="echoid-s5200" xml:space="preserve">Sed majorem motum ab B
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            verſus F major ocelli motus ſequitur: </s>
            <s xml:id="echoid-s5201" xml:space="preserve">atque hunc quoq; </s>
            <s xml:id="echoid-s5202" xml:space="preserve">ipſius pſellii. </s>
            <s xml:id="echoid-s5203" xml:space="preserve">Quam-
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            obrem ſi utroque caſu manus pari altitudine attollatur, motus pſellii ex B, F
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            verſum, major erit motu pſellii ab D verſus E. </s>
            <s xml:id="echoid-s5204" xml:space="preserve">ſed majore motu vel elatio-
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            ne pſellii plaga in equi mentum fit vehementior, unde lupi quoque in mandi-
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            bulam impreſſio exiſtit violentior. </s>
            <s xml:id="echoid-s5205" xml:space="preserve">Itaque æquali manus C elatione, ſi annelli
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            contactus obtineat locum B in ſcapo A B plus aſperitatis habet, quam ſi eſſet
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            in D in ſcapo A D. </s>
            <s xml:id="echoid-s5206" xml:space="preserve">atque adeò aunelli contactus B, quia diſtantior eſt ab
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            equi pectore, aſperior eſt viciniore D.</s>
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        <div xml:id="echoid-div723" type="section" level="1" n="519">
          <head xml:id="echoid-head552" xml:space="preserve">1 NOTA.</head>
          <p>
            <s xml:id="echoid-s5208" xml:space="preserve">Quia angulus A D C minus à recto abeſt, quam A B C, qui </s>
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