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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              THEOREMA XI.
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              Si ne〈qué〉 motus Quadrati, ne〈que〉 huius diameter ad angulos rectos ſe­
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              cet planum, ad angulos inæquales reflectit.
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              <s>Motus Quadrati
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              abcd
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              obliquè ſecans planum
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              gr,
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              habeat
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              latus
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              ad
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              eidem plano parallelum: & ſit linea hypomochlij
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              dg.
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              ad eam verò perpendicularis
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              eh;
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              |cuius quadratum grauitas
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              movens centri,
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              huius complementum quadratum
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              fi,
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              pla­
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              ga eiuſdem centri. </s>
              <s>Quod quidem quadratum in ſemicirculo
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              fie
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              conſtituit chorda reliqua, in quo chorda
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              ie
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              ſit ſumpta æ­
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              qualis
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              eh.
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              Et quia plaga fit per lineas
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              ea. ef. ed:
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              per 4. theo. 2 part.
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              erit per 3 theor: huius, motus reflexus in lineâ
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              ek;
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              motus
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              autem centri in lineâ plano
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              qr
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              parallelâ, ſeu tangente cir culi
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              centro
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              f,
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              & interuallo
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              fe
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              deſcripti. quòd ſi ergo fiat ut
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              ci
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              ad
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                <emph type="italics"/>
              if,
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              ita
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              em
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              ad
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              ek,
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              erit per prop: 32 motus medius
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              el
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              diameter
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              parallelogrammi
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              kelm:
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              dico angulum reflexionis
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              lem
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              eſſe in
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              æqualem angulo
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              adg.
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              Quia enim angulus
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              afi
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              externus ma­
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              ior eſt angulo interno
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              adh,
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              æqualis autem angulo
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              ief
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              per 9.
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              theor:
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              huic æquatur angulus
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              lem,
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              propterea quòd ſimilia
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              ſint triangula
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              ief, mel:
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              erit
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              æqualis angulo externo
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              afi,
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              maior verò angulo interno
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              fdh
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              angulo nimirum inci­
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              dentiæ. </s>
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            <p type="main">
              <s>
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              THEOREMA XII.
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              </s>
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            <p type="main">
              <s>
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              Motus Pentagoni ſecans obliquè planum, ſi latus oppoſitum habeat
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              eidem plano par allelum, ad angulos æquales reflectit.
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              </s>
            </p>
            <p type="main">
              <s>Pentagonum
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              abcde
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              habeat latus
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              cd
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              plano
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              op
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              parallelum
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              & oppoſitum: dico ad angulos reflecti æquales. </s>
              <s>Sit enim </s>
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