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

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        <div xml:id="echoid-div715" type="section" level="1" n="514">
          <pb o="187" file="527.01.187" n="187" rhead="DE C*HALINOTHLIPSI:*"/>
          <p>
            <s xml:id="echoid-s5153" xml:space="preserve">Alrera cauſa pendet ab equi cervice inflexa, nam hinc eſt quod catellæ in-
              <lb/>
            @ermediæ in ſcapo breviore lõgius ab equi pectore diſtent, quam in longiore.
              <lb/>
            </s>
            <s xml:id="echoid-s5154" xml:space="preserve">ideoque habenæ ſcapi brevioris magis adducendę ſunt ut catellæ intermediæ
              <lb/>
            pectus tangant, quam in ſcapo longiore. </s>
            <s xml:id="echoid-s5155" xml:space="preserve">ideoque etiam cum tangent ſua aſpe-
              <lb/>
            ritate moleſtiores erunt.</s>
            <s xml:id="echoid-s5156" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div717" type="section" level="1" n="515">
          <head xml:id="echoid-head548" xml:space="preserve">NOTA.</head>
          <p>
            <s xml:id="echoid-s5157" xml:space="preserve">Neceſt quod hic aliquis ſuſpicetur placita hæc cum ſtaticis theorematis
              <lb/>
            pugnare, quæ longioribus jugis plus virium tribuebant, hoc eſt, ſi B D libri-
              <lb/>
            le fingatur, cujus brevior radius ſit A D, longior, unde & </s>
            <s xml:id="echoid-s5158" xml:space="preserve">motus principium
              <lb/>
            exiſtat, A B. </s>
            <s xml:id="echoid-s5159" xml:space="preserve">tum ſupra dictis contrarium effici. </s>
            <s xml:id="echoid-s5160" xml:space="preserve">Nam ſcrupulus iſte facile
              <lb/>
            tolletur, ſi in mentem revocemus, quod hic in conſiderationem non veniat
              <lb/>
            vis ea, quam eques adducendis ſua manu habenis præſtat (nam ut in brevio-
              <lb/>
            re ſcapo ocelli contactum tantundem commoveat, magis allaborandum erit,
              <lb/>
            quam in longiore) ſed hoc, quod ſi ſatis intentæ ſint habenæ utri ſcapi ſuo
              <lb/>
            preſſu plus aſperitatis moleſtiæ q́ue faceſſant.</s>
            <s xml:id="echoid-s5161" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div718" type="section" level="1" n="516">
          <head xml:id="echoid-head549" xml:space="preserve">3 PROPOSITIO.</head>
          <p>
            <s xml:id="echoid-s5162" xml:space="preserve">Capitella quo longiora ſunt tanto plus aſperitatis
              <lb/>
            habent.</s>
            <s xml:id="echoid-s5163" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5164" xml:space="preserve">Nam habenis tantundem adductis pſellium longiore capitello plus com-
              <lb/>
            movetur quam breviore. </s>
            <s xml:id="echoid-s5165" xml:space="preserve">diagrammate res illuſtrior fiet. </s>
            <s xml:id="echoid-s5166" xml:space="preserve">A B ſit capitellum
              <lb/>
            longius, ejuſque ocelli contactus B, A C vero ſit capitellum brevius, ejuſque
              <lb/>
            ocelli contactus C, communis utrique hic ſcapus intel-
              <lb/>
              <figure xlink:label="fig-527.01.187-01" xlink:href="fig-527.01.187-01a" number="239">
                <image file="527.01.187-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.187-01"/>
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            ligatur A B. </s>
            <s xml:id="echoid-s5167" xml:space="preserve">jam adductis habenis annelli contactus ad-
              <lb/>
            ſcendat in E. </s>
            <s xml:id="echoid-s5168" xml:space="preserve">& </s>
            <s xml:id="echoid-s5169" xml:space="preserve">ocelli contactus B deſcendatad F per
              <lb/>
            peripheriam B F. </s>
            <s xml:id="echoid-s5170" xml:space="preserve">Sed ocelli contactus ab C uſque G
              <lb/>
            peragrata peripheriá C G minor eſt quam B F; </s>
            <s xml:id="echoid-s5171" xml:space="preserve">nam ut
              <lb/>
            A C ad A B, ſic G C ad B F. </s>
            <s xml:id="echoid-s5172" xml:space="preserve">Itaque pſellium ocello
              <lb/>
            B longioris capitelliaffixum, æquali habenarum ductu
              <lb/>
            plus movetur, quam ſi ocello C minoris capitelli fixum
              <lb/>
            hæreret. </s>
            <s xml:id="echoid-s5173" xml:space="preserve">quanto autem pſellrum magis ſurſum commo-
              <lb/>
            vetur, eò arctius mento hæret, & </s>
            <s xml:id="echoid-s5174" xml:space="preserve">ipſius lupi in man-
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            dibilam impreſſionem facit validiorem. </s>
            <s xml:id="echoid-s5175" xml:space="preserve">Ideoq́ue lon-
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            giora capitella plus aſperitatis habent. </s>
            <s xml:id="echoid-s5176" xml:space="preserve">quod ſi quiſpiam
              <lb/>
            quęrat cauſam, cur motus initio poſito in D longior ra-
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            dius A B, cõtra ſtatica principia vehementiores effectus
              <lb/>
            producat, quam brevior A C. </s>
            <s xml:id="echoid-s5177" xml:space="preserve">eum monemus videat
              <lb/>
            annotatiunculam 2 propoſitionis, ubi haud abſimilem
              <lb/>
            quæſtionis nodum diſſolvimus.</s>
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          </p>
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        <div xml:id="echoid-div720" type="section" level="1" n="517">
          <head xml:id="echoid-head550" xml:space="preserve">4 PROPOSITIO.</head>
          <p>
            <s xml:id="echoid-s5179" xml:space="preserve">Quanto contactus annelli à pectore longius diſtat tan-
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            to plus aſperitatis habet.</s>
            <s xml:id="echoid-s5180" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5181" xml:space="preserve">D*ATVM.</s>
            <s xml:id="echoid-s5182" xml:space="preserve">* A lupi eſto axiculus, A B ſcapus, B C habena, Bannelli con-
              <lb/>
            tactus. </s>
            <s xml:id="echoid-s5183" xml:space="preserve">A D ſcapus alter æqualis priori A B, D C habena, D annelli </s>
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