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>
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              THEOREMA VI.
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              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
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              Motus Pentagoni perpendicularis ad planum, non verò ad latus
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              eiuſdem, reflectit in partem ſegmenti maioris.
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                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>Motus Pentagoni
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              abcde
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              perpendicularis ad planum ſe­
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              cet latus
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              ae
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              in duo ſegmenta
                <emph type="italics"/>
              le
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              maius, &
                <emph type="italics"/>
              al
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              minus: Dico
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              à percuſſo illo plano reflecti in partem
                <emph type="italics"/>
              le
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              ſegmenti maioris. </s>
              <lb/>
              <s>Nam ſi excitetur linea hypomochlij
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              ag,
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              & à centro ducatur li­
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              nea
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              fg
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              ad eam perpendicularis; erit quadratum
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              fg
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              grauitas
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              mouens centri; huius autem complementum quadratum
                <emph type="italics"/>
              ag
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                <lb/>
              menſura plagæ: propterea quòd tota grauitas ſit æqualis qua­
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              drato
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              af.
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              Et quia plaga fit per lineam
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              af,
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              erit motus reflexus in
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              eadem lineâ
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              af:
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              motus autem centri in lineâ
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              fk
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              tangente cir­
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              culi centro
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              a
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              deſcripti. </s>
              <s>Quòd ſi ergo fiat ut
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              fg
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              ad
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              ga,
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              ita
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              fk
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              ad
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                <emph type="italics"/>
              fh;
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              erit per prop: 32 motus medius diameter parallelogram­
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              mi
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              faik:
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              ac proinde motus pentagoni reflectit in partem
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              le
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                <lb/>
              ſegmenti maioris. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              THEOREMA VII.
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              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
                <emph type="italics"/>
              Motus Trianguli iſogoni ad baſim, non verò ad planum perpen­
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              dicularis, ſi in verticem moueatur, in ſe ipſum reflectit.
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                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>In| 1 figurâ trianguli
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              efg
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              latus
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              ef
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              ſecetur à motu eiuſdem
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                <emph type="italics"/>
              hg
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              æqualiter: occurrat autem plano
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              ik
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              motu in
                <emph type="italics"/>
              g
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              verticem
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              converſo: Dico hunc motum in ſe ipſum reflecti. </s>
              <s>Quia enim
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              motus centri & plagæ, quam dat,
                <expan abbr="recipitq;">recipitque</expan>
              centrum, eſt in
                <expan abbr="eadẽ">eadem</expan>
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              lineâ
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              hg,
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              erit motus à percuſſione in eadem lineâ
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              hg
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              per 1
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              theor: ac proinde motus in ſe ipſum reflectit. </s>
            </p>
          </chap>
        </body>
      </text>
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