Fabri, Honoré, Tractatus physicus de motu locali, 1646

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          <chap id="N1EE3A">
            <p id="N21242" type="main">
              <s id="N2125F">
                <pb pagenum="270" xlink:href="026/01/304.jpg"/>
              tum lineam fieri poteſt; </s>
              <s id="N2126A">nam perinde ſe habet globus ille, atque ſi re­
                <lb/>
              pelleretur à plano; </s>
              <s id="N21270">nec alia eſſe poteſt linea directionis globi, vt fusè
                <lb/>
              probauimus, cum de impetu; </s>
              <s id="N21276">nec in hoc eſt vlla difficultas, quia cen­
                <lb/>
              trum grauitatis dirigit lineam motus; hoc poſito. </s>
            </p>
            <p id="N2127C" type="main">
              <s id="N2127E">Si nulla eſſet determinatio præter hanc, haud dubiè globus per DG
                <lb/>
              moueretur, vt reuerâ ſit cum linea incidentiæ eſt perpendicularis; </s>
              <s id="N21284">quia
                <lb/>
              duæ lineæ oppoſitæ non faciunt determinationem mixtam; </s>
              <s id="N2128A">ſecus verò
                <lb/>
              omnes alias; </s>
              <s id="N21290">cum igitur globus prædictus reflectatur per DX, illud ſit
                <lb/>
              neceſſariò per determinationem mixtam, quod etiam fatentur omnes: </s>
              <s id="N21296">
                <lb/>
              mixta eſſe non poteſt niſi ex duabus ſit, vnica tantùm à plano reflecten­
                <lb/>
              te eſt, ſcilicet per DG; </s>
              <s id="N2129D">igitur altera eſſe debet, eáque prior per KDQ; </s>
              <s id="N212A1">
                <lb/>
              cùm enim prior determinatio ſupponatur, vt KD vel vt DQ: eſt enim
                <lb/>
              ſemper eadem, & cùm noua ſit per DG, poſita diagonali DX, quis non
                <lb/>
              videt eſſe mixtam ex DQ & DZ æquali QX? nam perinde ſe habet
                <lb/>
              globus in D, atque ſi pelleretur hinc per DQ, hinc per DZ, ita vt impe­
                <lb/>
              tus eſſent vt lineæ DZ DQ. </s>
            </p>
            <p id="N212AE" type="main">
              <s id="N212B0">Ex his concludo determinationem nouam eſſe ad priorem poſitâ li­
                <lb/>
              neâ incidentiæ KD, vt DZ vel QX ad DQ poſitâ verò lineâ inciden­
                <lb/>
              tiæ AD, vt EH ad DE; </s>
              <s id="N212B8">denique in perpendiculari GD, vt
                <foreign lang="grc">δ</foreign>
              G ad DG,
                <lb/>
              id eſt, in ratione dupla; </s>
              <s id="N212C2">& nemo eſt meo iudicio, qui rem iſtam attentè
                <lb/>
              conſiderans non concedat vltrò de re quod ſit, ex hypotheſi æqualitatis
                <lb/>
              angulorum reflexionis cum aliis incidentiæ; vt autem demonſtretur
                <lb/>
              propter quid ſit, aliud principium adhibendum eſt, quod fusè præſtiti­
                <lb/>
              mus ſuprà. </s>
              <s id="N212CE">Sed obiiciunt iſtam determinationem nouam quæ fit à plano
                <lb/>
              eſſe fictitiam, & chymericam; </s>
              <s id="N212D4">ſed meo iudicio chymeram facit, qui rem
                <lb/>
              tam claram non capit; </s>
              <s id="N212DA">cum enim non negent nouam determinationem
                <lb/>
              eſſe in motu reflexo, nam impetus eſt indifferens, vt ſuprà probatum eſt
                <lb/>
              abundè, & ex motu funependuli euincitur; </s>
              <s id="N212E2">certè ſi noua eſt, à plano eſt: </s>
              <s id="N212E6">
                <lb/>
              ſed à plano eſt per ipſam perpendicularem vt demonſtratum eſt ſuprà;
                <lb/>
              igitur hæc noua determinatio fictitia non eſt. </s>
            </p>
            <p id="N212ED" type="main">
              <s id="N212EF">Sed dicunt ab eodem plano eſſe non poſſe determinationem inæqua­
                <lb/>
              lem; quia idem principium eundem effectum habet. </s>
              <s id="N212F5">Reſp. negando ante­
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              cedens; </s>
              <s id="N212FA">cùm enim pro diuerſa reſiſtentia diuerſa ſit determinatio, &
                <lb/>
              cùm planum prædictum modò plùs, modò minùs reſiſtat; quid mirum ſi
                <lb/>
              diuerſa ſit etiam determinatio? </s>
            </p>
            <p id="N21302" type="main">
              <s id="N21304">Inſtant, lineam determinationis eiuſdem impetus eſſe ſemper æqua­
                <lb/>
              lem. </s>
              <s id="N21309">Reſp. negando; </s>
              <s id="N2130C">quia idem impetus ad duas lineas poteſt determi­
                <lb/>
              nari ſimul, quæ faciant determinationem mixtam; vnde licèt idem im­
                <lb/>
              petus habeat eandem lineam ſpatij, non tamen eandem lineam determi­
                <lb/>
              nationis. </s>
              <s id="N21316">v.g. quando dico determinationem nouam in perpendiculari
                <lb/>
              eſſe ad priorem vt DY ad DG; </s>
              <s id="N2131E">non dico propterea DY eſſe lineam ſpa­
                <lb/>
              tij; ſed cùm duæ determinationes comparantur, aſſumi poſſunt lineæ,
                <lb/>
              quæ deſignent proportionem ſeu rationem determinationum, quid fa­
                <lb/>
              cilius? </s>
            </p>
            <p id="N21328" type="main">
              <s id="N2132A">Quæres, quid ſit illa determinatio: facilis quæſtio. </s>
              <s id="N2132E">Reſp. eſſe ipſum </s>
            </p>
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