Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              ſi 7. 28. ad 7; </s>
              <s id="N148F3">ſi 8. 36. ad 8; </s>
              <s id="N148F7">ſi 9. 45. ad 9; atque ita deinceps; ex quibus primò
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              vides creſcere ſemper proportionem. </s>
              <s id="N148FD">Secundò inter duplam, & triplam
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              rationem, ſcilicet 6. ad 3. & 15. ad 5. intercedere 2 1/2; </s>
              <s id="N14903">inter triplam &
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              quadruplam intercedere 3. 1/2; </s>
              <s id="N14909">inter quadruplam & quintuplam inter­
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              cedere 4 1/2; atque ita deinceps. </s>
            </p>
            <p id="N1490F" type="main">
              <s id="N14911">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium
                <emph.end type="italics"/>
              7.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1491D" type="main">
              <s id="N1491F">Colligo denique poſſe in motu recto cum maiore niſu produci inten­
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              ſiorem impetum in data ratione; </s>
              <s id="N14925">ſit enim cylindrus AB, qui moueatur
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              circa centrum A, percurrátque B, arcum BD; </s>
              <s id="N1492B">qui accipiatur vt recta,
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              quæ à minimis arcubus ſenſu diſtingui non poteſt; </s>
              <s id="N14931">haud dubiè ſi eo
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              tempore, vel æquali, quo AB tranſit in AD; </s>
              <s id="N14937">eadem AB, vel æqualis
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              motu recto tranſeat in FD, Dico impetum huius motus eſſe duplò in­
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              tenſiorem impetu illius; </s>
              <s id="N1493F">quia impetus ſunt vt motus; </s>
              <s id="N14943">motus verò vt
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              ſpatia, quæ percurruntur æqualibus temporibus; </s>
              <s id="N14949">ſed ſpatium rectanguli
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              AD, eſt duplum trianguli ADB; </s>
              <s id="N1494F">igitur & motus; </s>
              <s id="N14953">igitur & impetus; </s>
              <s id="N14957">ſi
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              verò AB tranſeat in EL, ita vt AF, ſit dupla AE; </s>
              <s id="N1495D">impetus erunt
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              æquales; quia rectangulum AC, eſt æquale triangulo ABD. </s>
            </p>
            <p id="N14963" type="main">
              <s id="N14965">Dixi arcum BD, accipi vt lineam rectam; </s>
              <s id="N14969">Si enim accipiatur vt ar­
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              cus; haud dubiè motus cylindri AB, dum transfertur in FD, eſt ad mo­
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              tum eiuſdem AB, dum transfertur in AD, vt rectangulum AD, ad ſe­
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              ctorem, cuius arcus ſit æqualis rectæ BD, & radius ipſi AB. </s>
            </p>
            <p id="N14974" type="main">
              <s id="N14976">
                <emph type="center"/>
                <emph type="italics"/>
              Scholium.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N14982" type="main">
              <s id="N14984">Obſeruabis primò, id quod ſuprà dictum eſt ita eſſe intelligendum,
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              vt momentum grauitationis nullo modo conſideretur, & prædictus
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              cylindrus cenſeatur potiùs moueri in plano horizontali, à quo ſuſtinea­
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              tur, quàm in circulo verticali, in quo libera ſit eius libratio, ſeu gra­
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              uitatio. </s>
            </p>
            <p id="N1498F" type="main">
              <s id="N14991">Secundò, non poſſe ſuſtineri cylindrum horizonti parallelum, niſi
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              aliqua eius portio ſeu manu, ſeu forcipe, vel alio quouis modo accipia­
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              tur, v.g. ſit cylindrus AG horizonti parallelus; vt in hoc ſitu reti­
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              neatur, debet aliqua eius portio putà AB, manu teneri, alioqui ne à po­
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              tentiâ quidem infinita ſuſtineri poſſet. </s>
            </p>
            <p id="N1499F" type="main">
              <s id="N149A1">Tertiò, ſi ſupponatur fulcitus in B; </s>
              <s id="N149A5">vt retineatur in æquilibrio, debet
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              addi momentum in A; ſeu debet retineri ab ipſa potentiâ applicata
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              in A. </s>
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            <p id="N149AE" type="main">
              <s id="N149B0">Quartò, pondus in G ſe habet ad idem pondus in A, ſtatuto centro in
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              B, vt ſegmentum GB, ad BA, id eſt, vt 5. ad 1. </s>
            </p>
            <p id="N149B6" type="main">
              <s id="N149B8">Quintò, ſi proprio pondere frangeretur BG, haud dubiè in B frange­
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              retur; </s>
              <s id="N149BE">eſt autem momentum ponderis BG, vt ſubduplum eiuſdem BG
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              poſitum in G, vt demonſtrat Galileus prop.1.de reſiſtentia corp.ſit enim
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              BG, duarum librarum, ſitque BG, diuiſa bifariam in H; </s>
              <s id="N149C6">haud dubiè
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              pondus in H, facit momentum ſubduplum eiuſdem in G, vt patet; </s>
              <s id="N149CC">ſunt
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              enim vt diſtantiæ; </s>
              <s id="N149D2">igitur cum ſegmentum HG tantùm addat momenti
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              ſupra H, quantùm detrahit HB; </s>
              <s id="N149D8">certè momentum totius ponderis BG, </s>
            </p>
          </chap>
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