Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              eſt centrum grauitatis, vt patet; </s>
              <s id="N13DA2">vt autem habeatur centrum impreſſio­
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              nis; </s>
              <s id="N13DA8">aſſumatur AN media proportionalis inter totam AD, & ſubdu­
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              plum AC; </s>
              <s id="N13DAE">certè cum triangulum ANO ſit ſubduplum totius ADE,
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              vt conſtat ex Geometria, & æquale trapezo ND EO; </s>
              <s id="N13DB4">erit impetus in
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              vtroque æqualis; </s>
              <s id="N13DBA">igitur in N erit centrum impreſſionis, vel impetus; </s>
              <s id="N13DBE">vt
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              autem habeatur centrum percuſſionis; </s>
              <s id="N13DC4">in quo ſcilicet maximus ictus in­
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              fligitur, inueniatur centrum grauitatis H, ducaturque KHI parallela
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              DE, centrum percuſſionis erit in I; </s>
              <s id="N13DCC">quippe in I totus impeditur impetus
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              grauitatis vtrimque, cum ſit in æquilibrio; </s>
              <s id="N13DD2">quomodo verò inueniatur
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              punctum H facilè habetur ex Archimede, ductis ſcilicet AF, DB, quæ
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              diuidant bifariam æqualiter DE, EA; vel aſſumpta AI dupla ID, quod
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              demonſtrabimus in Mechan. </s>
            </p>
            <p id="N13DDD" type="main">
              <s id="N13DDF">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              37.
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              </s>
            </p>
            <p id="N13DEB" type="main">
              <s id="N13DED">
                <emph type="italics"/>
              Si circa centrum immobile rotetur corpus parallelipedum
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              CA,
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              diuerſa eſt
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              ratio percuſſionum ab ea, quàm ſuprà propoſuimus
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              ; </s>
              <s id="N13DFE">moueatur enim circa
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              centrum C, fitque CA diuiſa bifariam in B, haud dubiè punctum A
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              faciet arcum AE eo tempore, quò punctum B faciet BD ſubduplum
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              AE; </s>
              <s id="N13E08">igitur punctum A duplò velociùs mouetur quàm B, vt conſtat; </s>
              <s id="N13E0C">igi­
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              tur habet duplò maiorem impetum; cum effectum habeat duplò maio­
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              rem per Ax. 13. n. </s>
              <s id="N13E14">4. igitur cum totus motus ſegmenti AB ſit ad to­
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              tum motum ſegmenti BC, vt ſpatia acquiſita; </s>
              <s id="N13E1A">certè ſpatia acquiſita
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              ſunt vt arcus; </s>
              <s id="N13E20">igitur & trapezus BAED, continet 3/4 totius CAE, vt
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              conſtat; </s>
              <s id="N13E26">ſunt enim ſectores ſimilis in ratione duplicata radiorum; </s>
              <s id="N13E2A">igi­
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              tur totus motus ſegmenti BC ſubquadruplus motus totius CA; igitur
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              & impetus; </s>
              <s id="N13E32">vt autem habeatur centrum impreſſionis, vel impetus; </s>
              <s id="N13E36">ſit ſe­
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              ctor CHI, ſubduplus totius CAE quod quomodo fiat, patet ex Geo­
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              metria; </s>
              <s id="N13E3E">accipiatur tantùm ſubdupla diagonalis quadrati lateris CA, igi­
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              tur in puncto H eſt centrum impreſſionis, ſeu media proportionalis in­
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              ter totam CA, & ſubduplam CB: </s>
              <s id="N13E46">vt autem habeatur percuſſionis, aſ­
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              ſumatur CY dupla YA; </s>
              <s id="N13E4C">Dico punctum Y eſſe centrum percuſſionis;
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              quia perinde ſe habet, atque ſi eſſet trianguli cadentis ictus, vt demon­
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              ſtrabimus aliàs nunc tantùm indicaſſe ſufficiat. </s>
            </p>
            <p id="N13E54" type="main">
              <s id="N13E56">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium
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              1.
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              </s>
            </p>
            <p id="N13E63" type="main">
              <s id="N13E65">Hinc etiam ſoluetur, quod proponunt aliqui; ſeu potiùs quærunt; </s>
              <s id="N13E69">
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              in quà ſcilicet parte maiorem ictum infligat enſis; </s>
              <s id="N13E6E">ſi enim ſit eiuſdem
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              craſſitiei in omnibus ſuis partibus, idem dicendum eſt quod de cylin­
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              dro CA; ſi verò in mucronem deſinat, inueniemus etiam centrum
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              percuſſionis. </s>
            </p>
            <p id="N13E78" type="main">
              <s id="N13E7A">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium
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              2.
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              </s>
            </p>
            <p id="N13E87" type="main">
              <s id="N13E89">Huc etiam reuoca clauarum ictus, vel aliorum corporum, quæ ad in­
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              ſtar ſeu conorum, ſeu pyramidum verſus mucronem maiora ſunt, vel
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              denſiora; quippe ex iacto ſuprà principio iſtorum omnium effectuum
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              rationes demonſtrabimus. </s>
            </p>
          </chap>
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