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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              quia rationem habet hypomochlij; ſecabitur impulſus eâ rati­
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              one, quâ grauitas verticalis ſecatur à plano inclinato, in par­
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              tem motam & quieſcentem: ac proinde per propoſitionem
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              11. motus interciſus à plano, erit| æqualis duratione reliquo
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              motui: qvorum terminos connectit linea recta, perpendicu­
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              laris ad motum interciſum. </s>
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            <p type="main">
              <s>
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              LEMMA.
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              </s>
            </p>
            <p type="main">
              <s>
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                <emph type="italics"/>
              Si in ſegmento Circuli ducantur duæ chordæ, angulus
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              ab his contentus, erit complementum dimidij anguli eiuſ­
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              dem arcus ad duos rectos.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>In ſegmento BF ducantur duæ chordæ BC. CF: dico angu­
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              lum BCF ab his contentum eſſe complementum dimidij an­
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              guli BOF ad duos rectos. </s>
              <s>Nam duo anguli OFC. OCF ſunt
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              complementum anguli FOC: duo verò anguli OCB, OBC
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              complementum anguli COB. </s>
              <s>Cùm igitur FCB ſit ſemiſſis
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              illorum angulorum; erit complementum dimidij anguli FOB. </s>
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              <s>
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              Corollarium.
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              </s>
            </p>
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              <s>Sequitur angulum externum FCT eſſe æqualem ſemiſſi an­
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              guli FOB: propterea quòd
                <expan abbr="utriuſq;">utriuſque</expan>
              complementum ad duos
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              rectos ſit angulus FCB. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              THEOREMA II.
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              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
                <emph type="italics"/>
              Lapſus grauium in quædrante Circuli, per duas chordas
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              æquatur lapſui per unæm chordam.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>Secetur primùm AF quadrans circuli æqualiter in B: & </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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