Fabri, Honoré, Tractatus physicus de motu locali, 1646

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    <archimedes>
      <text>
        <front>
          <section>
            <p id="N10BA5" type="main">
              <s id="N10BA7">
                <pb xlink:href="026/01/022.jpg"/>
              plus, determinatio noua eſt dupla prioris, minùs vna quarta,
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              &c. </s>
              <s id="N10BB4">ratio eſt, quia in ea proportione globus reflectens cedit, in
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              qua mouetur, igitur tantùm detrahitur determinationis impacto
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              globo, quantùm additur motus reflectenti: at verò noua determina­
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              tio per lineam incidentiæ obliquam, eſt ad nouam per ipſam per­
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              pendicularem, vt ſinus rectus anguli incidentiæ ad ſinum totum. </s>
            </p>
            <p id="N10BC0" type="main">
              <s id="N10BC2">9. In hac hypotheſi lineæ reflexæ omnes ſunt ſupra prædictam
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              tangentem, ſeu ſectionem plani, maiores, vel minores, pro diuerſa
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              menſura diagonalis: </s>
              <s id="N10BCA">in ſuperiori verò hypotheſi æqualium globo­
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              rum, ſunt omnes in ipſa ſectione plani: ſi denique globus impactus
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              ſit maior alio, omnes ſunt infra prædictam ſectionem. </s>
              <s id="N10BD2">Porrò in hac
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              hypotheſi vltima, determinatio noua per ipſam perpendicularem
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              eſt minor priore: </s>
              <s id="N10BDA">hinc non modò nulla fit reflexio in perpendicula­
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              ri, ſed linea directa vlteriùs propagatur; quia prior determinatio
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              præualet. </s>
            </p>
            <p id="N10BE2" type="main">
              <s id="N10BE4">10. Detrahitur priori portio æqualis rationi globorum; </s>
              <s id="N10BE8">v. g. glo­
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              bus reflectens eſt ſubduplus impacto de trahitur priori determina­
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              tioni vna ſecunda; </s>
              <s id="N10BF0">eſt ſubquadruplus, vna quarta; atque ita dein­
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              ceps: </s>
              <s id="N10BF6">ratio patet ex dictis: </s>
              <s id="N10BFA">in linea verò incidentiæ obliqua, deter­
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              minatio eſt ad determinationem in perpendiculari, vt ſinus rectus
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              anguli incidentiæ ad ſinum totum: linea demum reflexa eſt modò
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              maior, modò minor pro diuerſa diagonali. </s>
            </p>
            <p id="N10C04" type="main">
              <s id="N10C06">11. Si duo globi æquales in ſe inuicem impingantur æquali mo­
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              tu, per lineam connectentem centra, vterque æquali motu priori re­
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              troagitur; </s>
              <s id="N10C0E">quia æqualis in æqualis æqualem impetum imprimit: </s>
              <s id="N10C12">non
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              eſt tamen motus reflexus; </s>
              <s id="N10C18">quia totus prior impetus deſtruitur, vt
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              patet ex dictis: </s>
              <s id="N10C1E">ſi autem inæquali motu concurrant, retroaguntur
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              iiſdem motibus, permutando; quod etiam clarum eſt: hinc egre­
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              gium paradoxum, ſi quod aliud conſequitur, ſcilicet, globum A, v.
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              g. æqualem motum imprimere globo B, ſiue hic moueatur, ſiue
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              quieſcat. </s>
            </p>
            <p id="N10C2A" type="main">
              <s id="N10C2C">12. Si verò linea incidentiæ ſit obliqua, vterque globus reflecte­
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              tur prorſus vt à plano immobili: </s>
              <s id="N10C32">hinc reflexio ſit ad angulos æqua­
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              les, & lineæ omnes reflexionis ſunt æquales: ratio eſt; </s>
              <s id="N10C38">quia, quantùm
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              detrahit globus reflectens reſiſtendo, tantùm addit in partem op­
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              poſitam repellendo, poſitiuo niſu, vel impetu: quòd ſi alter globus
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              maiore, vel minore motu moueatur, vel ſi globi ſint inæquales,
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              cum æquali motu, vel inæquali, res etiam determinari poteſt ex
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              præmiſſis. </s>
            </p>
          </section>
        </front>
      </text>
    </archimedes>
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