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

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        <body>
          <chap>
            <pb xlink:href="063/01/065.jpg"/>
            <p type="main">
              <s>
                <emph type="center"/>
              THEOREMA VI.
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              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
                <emph type="italics"/>
              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
                <lb/>
              cet latus
                <emph type="italics"/>
              ae
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              in duo ſegmenta
                <emph type="italics"/>
              le
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              maius, &
                <emph type="italics"/>
              al
                <emph.end type="italics"/>
              minus: Dico
                <lb/>
              à percuſſo illo plano reflecti in partem
                <emph type="italics"/>
              le
                <emph.end type="italics"/>
              ſegmenti maioris. </s>
              <lb/>
              <s>Nam ſi excitetur linea hypomochlij
                <emph type="italics"/>
              ag,
                <emph.end type="italics"/>
              & à centro ducatur li­
                <lb/>
              nea
                <emph type="italics"/>
              fg
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              ad eam perpendicularis; erit quadratum
                <emph type="italics"/>
              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
                <emph type="italics"/>
              af.
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              Et quia plaga fit per lineam
                <emph type="italics"/>
              af,
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              erit motus reflexus in
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              eadem lineâ
                <emph type="italics"/>
              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
                <emph type="italics"/>
              a
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              deſcripti. </s>
              <s>Quòd ſi ergo fiat ut
                <emph type="italics"/>
              fg
                <emph.end type="italics"/>
              ad
                <emph type="italics"/>
              ga,
                <emph.end type="italics"/>
              ita
                <emph type="italics"/>
              fk
                <emph.end type="italics"/>
              ad
                <lb/>
                <emph type="italics"/>
              fh;
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              erit per prop: 32 motus medius diameter parallelogram­
                <lb/>
              mi
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              faik:
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              ac proinde motus pentagoni reflectit in partem
                <emph type="italics"/>
              le
                <emph.end type="italics"/>
                <lb/>
              ſegmenti maioris. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              THEOREMA VII.
                <emph.end type="center"/>
              </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
                <emph type="italics"/>
              ef
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              ſecetur à motu eiuſdem
                <lb/>
                <emph type="italics"/>
              hg
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              æqualiter: occurrat autem plano
                <emph type="italics"/>
              ik
                <emph.end type="italics"/>
              motu in
                <emph type="italics"/>
              g
                <emph.end type="italics"/>
              verticem
                <lb/>
              converſo: Dico hunc motum in ſe ipſum reflecti. </s>
              <s>Quia enim
                <lb/>
              motus centri & plagæ, quam dat,
                <expan abbr="recipitq;">recipitque</expan>
              centrum, eſt in
                <expan abbr="eadẽ">eadem</expan>
                <lb/>
              lineâ
                <emph type="italics"/>
              hg,
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              erit motus à percuſſione in eadem lineâ
                <emph type="italics"/>
              hg
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              per 1
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              theor: ac proinde motus in ſe ipſum reflectit. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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