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

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            <pb xlink:href="063/01/046.jpg"/>
            <p type="main">
              <s>Aliter breuiùs. ex D centro figuræ ducta DA ſecetur in da­
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              tâ ratione in O: per quod agatur linea CE,
                <expan abbr="atq;">atque</expan>
              eidem peralle­
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              la AH: é centro verò D ſemidiameter figuræ motûs DH. </s>
              <s>Di­
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              co hanc ſecari à lineâ hypomochlij in eadem ratione. </s>
              <s>Cùm
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              enim ſimilia ſint triangula ADH. ODG: erit DH ad DG, ut
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              DA ad DO, hoc eſt in datâ ratione. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              LEMMA II
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              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
                <emph type="italics"/>
              Si duabus inæqualibus lineis addantur æquales; maiorem rationem ha­
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              bet maior ad minorem, quàm eadem maior aucta ad auctam
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              minorem.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>Duabus inæqualibus AB. CD addantur æquales BF. DL. </s>
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              <s>Dico AB ad CD maiorem rationem habere, quàm AF ad CL. </s>
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              <s>Fiat enim ut AB ad CD minorem: ita BF ad aliam minorem
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              DG. erit ergo
                <expan abbr="utraq;">utraque</expan>
              antecedens AF ad
                <expan abbr="utramq;">utramque</expan>
              conſequen­
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              tem CG, ut AB ad CD. </s>
              <s>Sed AF ad CG maiorem habetra­
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              tionem, quàm ad CL: igitur & AB ad CD maiorem habet ra­
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              tionem, quà AF ad CL. </s>
            </p>
            <figure id="id.063.01.046.1.jpg" xlink:href="063/01/046/1.jpg" number="18"/>
            <p type="main">
              <s>
                <emph type="center"/>
              LEMMA III
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              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
                <emph type="italics"/>
              Si ex eadem baſi deſcribantur plures figuræ rectilineæ æqualium late­
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              rum; & ex illâ baſi per illarum centra agatur linea recta; ea quæ
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              plura habet latera, centrum magis abducit à baſi.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>Deſcribantur ex eadem communi baſi AC triangulum A
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              BC, quadratum ADEC, & pentagonum AFGHC æquali­
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              um laterum: & per illarum centra agatur linea recta
                <expan abbr="Gq.">Gque</expan>
              ſe­
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              cans baſim AC æqualiter per problema theorem. 1. </s>
              <s>Quia
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                <expan abbr="itaq;">itaque</expan>
              altitudo trianguli BQ eſt minor latere BA, hoc eſt QR; </s>
            </p>
          </chap>
        </body>
      </text>
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