Fabri, Honoré, Dialogi physici in quibus de motu terrae disputatur, 1665

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        <body>
          <chap>
            <p type="main">
              <s id="s.000241">
                <pb pagenum="19" xlink:href="025/01/023.jpg"/>
              tum in explicando Apogæi motu, tum in excogitanda aliqua ratione Ano­
                <lb/>
              maliæ Solis; Sol enim, vt nemo neſcit, ſtatuto Apogæo in D, plures dies
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              ponit à Tropico Cancri ad Æquatorem, quàm ab Æquatore ad Tropicum
                <lb/>
              Capricorni. </s>
            </p>
            <p type="main">
              <s id="s.000242">
                <emph type="italics"/>
              Antim.
                <emph.end type="italics"/>
              </s>
              <s id="s.000243"> Rectè omninò: Hinc vides, ni fallor, duo triangula ABD,
                <lb/>
              ACH eſſe proportionalia, quia æquiangula; ac proinde, vt AD ad AH,
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              ita BA ad AC; igitur AC eſt minor AB; igitur breviore tempore de­
                <lb/>
              curritur: ſepoſito enim motu circulari, cum prima inclinatione, ſit mo­
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              tus acceleratus à B ad A, & retardatus ab A versùs C, ſi ſpatia ſint, vt
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              lineæ BA, AC, ſitque inter BA, AC media proportionalis BY, erunt
                <lb/>
              tempora vt YB, AB; ſunt enim ſpatia in duplicata ratione tempo­
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              rum. </s>
              <s id="s.000244">Hoc autem ex duplici analogia facilè intelligitur; Prima eſt;
                <lb/>
                <figure id="id.025.01.023.1.jpg" xlink:href="025/01/023/1.jpg" number="6"/>
                <lb/>
              Sit corda tenſa BC, tendatur vltrà in BAC, affixo
                <lb/>
              gemino clavo in FG, redit in BC motu accelerato; hic
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              eſt acceſſus; per receſſum verò pervenit in FEG; ita vt
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              DE ſit ad DA, vt DF ad DB; tempus autem acceſſus
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              eſt ad tempus receſſus, vt AD ad DE. </s>
              <s id="s.000245">Alia verò ſit
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              hæc; ſit BI funependulum in perpendiculo, pendens ex
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              B, ſitque affixus clavus in F, ita prima ſemivibratio fiat per
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              arcum AI, altera verò per IE, ſit inter AD, DE, media
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              proportionalis AO, tempus vibrationis AI erit ad tem­
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              pus vibrationis IE, vt AD ad AO; ſunt enim tempora in
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              ſubduplicata ratione ſpatiorum, vt conſtat ex doctrina mo
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              tuum. </s>
              <s id="s.000247">Vtraque analogia facilè applicatur. </s>
              <s id="s.000248">Quod verò ſpe­
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              ctat ad rationem motus accelerati, vt ad calculos reduca­
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              tur, fortè poſſet accipi quadrans circuli BZ, qui repræſen­
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              tet tempus acceſſus diviſum in quotcunque partes æqua­
                <lb/>
              les. </s>
              <s id="s.000249">v. g. accipiatur (
                <emph type="italics"/>
              in Figura priore
                <emph.end type="italics"/>
              ) BN, arcus 30.
                <lb/>
              graduum demittatur NM perpendicularis, acceſſus pro­
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              motus eſt illo tempore ſegmento BM, vel vt ad Phyſicas
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              cauſas propiùs accedatur, acciperet aliquis ſemiparabo­
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              lam ABZ, cuius Axis ſit BA, applicata quælibet, ſeu
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              ſemibaſis AZ, hæc ſi dividatur in quotcumque partes
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              æquales, puta in 90. repræſentat tempus acceſſus, v.g. ab initio acceſſus
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              ſit tempus AO 45.graduum; ducatur ON parallela Axi AB, tum appli­
                <lb/>
              cata NM, applicatæ AZ parallela, BM erit menſura ſpatij decurſi in
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              acceſſu, nec fortè vna progreſſio multùm differt ab alia, vt patet ex
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              calculatione; vix enim aſſumptis quotcunque partibus temporis, diffe­
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              rentia ſpatiorum acceſſus vnum gradum integrum adæquat; ſed profectò,
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              vt Aſtronomicè vtramque probo, ita neutram phyſice admitto; germa­
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              nam dabimus ſuo loco & Phyſicam. </s>
              <s id="s.000250">Hæc enim obiter quatenus ad rem
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              noſtram facit, hîc tantùm indico; ſed alibi juſtum cúmque integrum tra­
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              ctatum edemus </s>
            </p>
            <p type="main">
              <s id="s.000251">
                <emph type="italics"/>
              Auguſtinus.
                <emph.end type="italics"/>
              </s>
              <s id="s.000252"> Acceſſus ab Apogæo ad Perigæum, & viciſſim, eodem
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              modo ad calculos reducitur, aſſumpta ſemiparabola ſub Axe EV; item-</s>
            </p>
          </chap>
        </body>
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