Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              <s id="N208B5">
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              impetum æqualem; </s>
              <s id="N208BE">igitur retro agitur velociore motu in eadem propor­
                <lb/>
              tione qua alter globus maior eſt altero, v.g. ſi maior eſt duplus, retroa­
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              getur motu duplo illius, quo ſuum iter proſequeretur, niſi maior globus
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              occurreret; </s>
              <s id="N208CA">at verò globus maior duplus ſcilicet alterius non retroage­
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              tur; </s>
              <s id="N208D0">quippè ſi minor globus conſiſteret in puncto contactus, maior glo­
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              bus ſuum iter proſequeretur motu ſubduplo; </s>
              <s id="N208D6">quippe determinatio noua
                <lb/>
              eſſet ſubdupla prioris, vt patet ex Th.66. ſed accipit etiam impetum ſub­
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              duplum illius, quem habet, igitur determinatio noua eſt compoſita ex
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              duabus ſubduplis; </s>
              <s id="N208E0">igitur eſt æqualis priori; </s>
              <s id="N208E4">igitur
                <expan abbr="nõ">non</expan>
              retroagetur, ſed con­
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              ſiſtet ſi duplus eſt; ſi verò maior duplo ſuum iter proſequetur ſed minore
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              motu pro rata, ſi minor duplo retroagetur. </s>
              <s id="N208F0">Hinc egregium effatum, ſi duo
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              globi in ſe ſe inuicem allidantur æquali motu, ſi maior duplus eſt, conſi­
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              ſtet ad punctum contactus; </s>
              <s id="N208F8">ſi maior duplo ſuum iter proſequetur; ſi mi­
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              nor reflectetur; </s>
              <s id="N208FE">quod ſi motu inæquali mouentur, vel maior mouetur
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              maiori motu, vel minor; </s>
              <s id="N20904">ſi maior, minor retroagetur, maior verò vel re­
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              troagetur, vel conſiſtet, vel eadem via mouebitur; </s>
              <s id="N2090A">retroagetur quidem, ſi
                <lb/>
              noua determinatio compoſita ſcilicet ex impetu impreſſo à minore glo­
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              bo, & determinatione reflexionis quam conferet globus minor, etiamſi
                <lb/>
              quieſceret; </s>
              <s id="N20914">ſi noua inquam determinatio ſit maior priore; </s>
              <s id="N20918">conſiſtet verò,
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              ſi fit æqualis; </s>
              <s id="N2091E">ſuum denique iter proſequetur, ſi ſit minor: quæ omnia ex
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              dictis facilè determinari poſſunt. </s>
            </p>
            <p id="N20924" type="main">
              <s id="N20926">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              71.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N20932" type="main">
              <s id="N20934">
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              Si verò duo globi inæquales in ſeſe inuicem impingantur per lineas obliquas,
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              ſunt quoque tres combinationes
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              ; </s>
              <s id="N2093F">vel enim vterque impingitur motu æquali,
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              vel maior globus maiore motu, vel minor; vt autem habeatur linea, ſeu
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              determinatio cuiuſlibet globi, ſupponi debet primò linea incidentiæ al­
                <lb/>
              terius v.g. maioris. </s>
              <s id="N2094B">
                <expan abbr="Secũdò">Secundò</expan>
              ſupponi debet minor quieſcere. </s>
              <s id="N20951">Tertiò, inue­
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              niri noua determinatio, quæ confertur maiori à minore quieſcente, quæ
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              facilè inueniri poteſt cognita determinatione noua, quam conferret ſi
                <lb/>
              linea incidentiæ eſſet perpendicularis; Quartò, debet inueniri determi­
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              natio noua quæ confertur à minore maiori ratione impetus, quæ facilè
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              inueniri poteſt cognita determinatione huius impetus per lineam per­
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              pendicularem. </s>
              <s id="N20961">Quintò, debet componi determinatio noua ex vtraque. </s>
              <s id="N20964">
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              Sextò denique, ex his habebitur determinatio mixta ex hac compoſita, &
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              linea incidentiæ producta, quod facilè ex dictis intelligitur; ſimiliter, vt
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              habeatur reflexo minoris, debent eadem præſupponi in maiore. </s>
            </p>
            <p id="N2096D" type="main">
              <s id="N2096F">Obiiceret hic ſortè aliquis mirari ſe quamobrem duo globi æquales
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              in ſeſe inuicem æquali motu impinguntur vterque retroagatur, cùm po­
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              tiùs vterque conſiſtere deberet: quemadmodum quieſcit globus cui im­
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              primuntur duo impetus contrarij, hoc eſt ad lineas oppoſitas determi­
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              nati. </s>
              <s id="N2097B">Reſpondeo cum eodem inſtanti eidem globo duplex ille impetus
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              imprimitur, non videri vllam rationem, cur alter præualeat; </s>
              <s id="N20981">at verò vbi
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              iam impetus eſt productus, poteſt ad aliam lineam determinari, vt patet; </s>
              <s id="N20987">
                <lb/>
              igitur ratione determinationis nouæ, quæ eſt æqualis priori deſtruitur; </s>
              <s id="N2098C"/>
            </p>
          </chap>
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