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

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              <s>
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              perpendicularis ad
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              af.
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              Quòd ſi
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              fiat ut
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              af
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              ad
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              fe,
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              ita
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              eh
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                <lb/>
              ad
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              ek;
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              erit
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              ei
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              via motûs reflexi. </s>
              <s>Cui ex
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              a
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              ducatur paral­
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              lcla
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              ad.
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              Et quia angulus
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              hei,
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              hoc eſt
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              ead
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              æquatur angu­
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              lo
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              fae:
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              erit angulus compoſitus
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              fad
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              grad. 50; & angulus
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              reſiduus
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              dax,
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              nimirum angulus reflexionis grad. 40. </s>
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            <p type="main">
              <s>
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              PROBLEMA III.
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              <s>
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              Motum verticalem pentagoni à plano reflectere ad angulum datum.
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            <p type="main">
              <s>Simili modo in pentagono motum verticalem reflectemus
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              ad angulum datum. ſi ducatur
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              ac,
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              verticalis; & angulus
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              gaf
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                <lb/>
              ſiat ſemiſſis complementi ad angulum quæſitum. </s>
              <s>Ductâ enim
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              ex
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              a
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              p arallelâ motui reflexo
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              fi,
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              erit angulus reliquus à parallelâ,
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              & plano contentus æqualis angulo quæſito. </s>
            </p>
            <p type="main">
              <s>
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              De lineâ motûs reflexi, & motu proiectorum.
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            </p>
            <p type="main">
              <s>
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              Verùm contra hucus〈qué〉 dicta de motu reflexo poterit quis dubitare:
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              quamobrem hic ex occurſu plani, motus at〈que〉 impulſus figuræ rectilineæ
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              ſecetur in duo quadrata: in probl: verò 4 & 5 in duo parallelogramma:
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              quorum baſis communis ſit radius, ſeu ſemidiameter figuræ motûs; alti­
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              tudo verò eiuſdem ſegmenta.
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              </s>
            </p>
            <p type="main">
              <s>Reſpondeo hie motum conſiderari naturalem à grauitate:
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              quem prop: 12. oſtendi eo modo augeri, quo triangulum ſibi
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              ſimile manens. </s>
              <s>Cùm
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              plaga inducatur non
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              ali­
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              quâ morulâ; neceſſe et illum impulſum, quem plaga abſumit,
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              & quem centrum gravitatis retinet ad ſe librandum, habere
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              vim quadrati. </s>
              <s>At verò in quadraturâ circuli motu utimur ſi­
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              milari: Vnde neceſsè eo modo dividi, quo linea recta, ſeu pa­
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              rallelogrammum. </s>
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