Marci of Kronland, Johannes Marcus, De proportione motus figurarum recti linearum et circuli quadratura ex motu, 1648

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            <p type="main">
              <s>
                <pb xlink:href="063/01/076.jpg"/>
              ut EF. FD latera eorundem quadratorum. </s>
              <s>Producatur enim
                <lb/>
              linea DE motûs reflexi:
                <expan abbr="atq;">atque</expan>
              ipſi DI ſumatur parallela EG
                <lb/>
              ex G verò demittantur perpendiculares GH. GK. </s>
              <s>Quia
                <expan abbr="itaq;">itaque</expan>
                <lb/>
              recta ED eſt perpendicularis ad AB, & angulus CDA aſſumptus
                <lb/>
              æqualis angulo IDB; erit angulus reliquus CDE æqualis angu­
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              lo reliquo EDI, hoc eſt illi æquali HEG. & cùm rectus ſit
                <expan abbr="uterq;">uterque</expan>
                <lb/>
              angulus EFD. EHG,
                <expan abbr="atq;">atque</expan>
              HEG æqualis EDF; erunt triangula EFD.
                <lb/>
              GHE ſimilia. </s>
              <s>Igitur ut EF ad FD, ita HG, ſeu EK ad EH. </s>
              <s>
                <expan abbr="Neq;">Neque</expan>
                <lb/>
              verò dicendum in hac demonſtratione circulum committi. ſi
                <lb/>
              quidem hic ab effectu per experientiam cognito, ea principia
                <lb/>
              ſtabiliuntur; ex quibus propoſitione 39. aliâ viâ notis hic idem
                <lb/>
              effectus tanquam illorum concluſio infertur, </s>
            </p>
            <figure id="id.063.01.076.1.jpg" xlink:href="063/01/076/1.jpg" number="30"/>
            <p type="main">
              <s>
                <emph type="italics"/>
              Obijcies. </s>
              <s>Motum reflexum non augeri ea modo, quo triangulum ſibi
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              ſimile manens: non igitur ad ſe referri ut quadrata. </s>
              <s>Et de impulſu
                <lb/>
              quidem reflexo videtur manifeſtum: Quod hic à percußione oriatur,
                <lb/>
              at〈qué〉 continuò, ex quo cæpit, minuatur. </s>
              <s>Idem verò probatur de impul­
                <lb/>
              ſu, quem centrum grauitatis retinet ad ſe librandum. </s>
              <s>Nam cùm prin­
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              cipium huius augmenti ſit grauitas, motus verò reflexus fiat in partes
                <lb/>
              oppoſitas grauitati; nequit grauitas influere in hunc motum: quin poti­
                <lb/>
              us eidem reniti, & grauitando ipſum minuere: uti manifeſtum in fine
                <lb/>
              motûs reflexi & in arcum ſinuati.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Reſpondeo nos hic principia motûs reflexi inter ſe confer­
                <lb/>
              re: quæ conſtat vim quadrati habere: licet fortè in progreſſu
                <lb/>
              mutari contingat illam proportionem. </s>
              <s>An verò grauitas in­
                <lb/>
              fluat in motum reflexum dubitari poteſt. </s>
              <s>Nam ſi ita, idem
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              videtur dicendum de motu proiectorum: nullus proinde mo
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              tus rectus. </s>
              <s>At verò ſi proiecta non ferantur lineâ rectâ, quâ ra­
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              tione ictus certi eſſe poſſunt? et tamen conſtat eſſe inter Scyt­
                <lb/>
              has adeo ſagittandi peritos, ut pomum vertici impoſitum, aut </s>
            </p>
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