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

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      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="063/01/068.jpg"/>
                <emph type="italics"/>
              efc,
                <emph.end type="italics"/>
              nimirum rectus, maior eſt angulo incidentiæ
                <emph type="italics"/>
              dcf;
                <emph.end type="italics"/>
              motus
                <lb/>
              trianguli in eo ſitu ad angulos reflectit inæquales. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              THEOREMA X.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
                <emph type="italics"/>
              Si motus Quadrati obliquè, huius autem diameter ad angulos re­
                <lb/>
              ctos ſecet planum; ad angulos æquales reflectit.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>Motus Quadrati
                <emph type="italics"/>
              abcd
                <emph.end type="italics"/>
              ſecet obliquè planum
                <emph type="italics"/>
              el,
                <emph.end type="italics"/>
              diameter
                <lb/>
              verò
                <emph type="italics"/>
              ag
                <emph.end type="italics"/>
              ad angulos rectos: dico motum reflexum ab hoc pla­
                <lb/>
              no angulum conſtituere æqualem angulo incidentiæ. </s>
              <s>Sit enim
                <lb/>
                <emph type="italics"/>
              ap
                <emph.end type="italics"/>
              hypomochlij, &
                <emph type="italics"/>
              gh
                <emph.end type="italics"/>
              linea ad eam perpendicularis:
                <expan abbr="eritq;">eritque</expan>
                <lb/>
              ex iam demonſtratis
                <expan abbr="quadratũ">quadratum</expan>
                <emph type="italics"/>
              hg
                <emph.end type="italics"/>
              motus centri, &
                <emph type="italics"/>
              ah
                <emph.end type="italics"/>
              eiuſdem
                <lb/>
              plaga. </s>
              <s>Et quia percuſsic in
                <emph type="italics"/>
              ag,
                <emph.end type="italics"/>
              erit motus reflexus in eadem
                <lb/>
              hneâ
                <emph type="italics"/>
              ag:
                <emph.end type="italics"/>
              motus autem centri in lineâ plano
                <emph type="italics"/>
              el
                <emph.end type="italics"/>
              parallelâ. quòd
                <lb/>
              ſi
                <expan abbr="itaq;">itaque</expan>
              fiat ut
                <emph type="italics"/>
              ah
                <emph.end type="italics"/>
              ad
                <emph type="italics"/>
              hg,
                <emph.end type="italics"/>
              ita
                <emph type="italics"/>
              af
                <emph.end type="italics"/>
              ad
                <emph type="italics"/>
              ak,
                <emph.end type="italics"/>
              erit motus medius
                <emph type="italics"/>
              ai,
                <emph.end type="italics"/>
              & an­
                <lb/>
              gulus reflexionis
                <emph type="italics"/>
              iak:
                <emph.end type="italics"/>
              quem dico eſſe æqualem angulo
                <emph type="italics"/>
              eap.
                <emph.end type="italics"/>
                <lb/>
              Quia enim diameter
                <emph type="italics"/>
              ag
                <emph.end type="italics"/>
              ſecat planum in
                <emph type="italics"/>
              a
                <emph.end type="italics"/>
              ad angulos rectos;
                <lb/>
              erit angulus
                <emph type="italics"/>
              eag
                <emph.end type="italics"/>
              æqualis angulo
                <emph type="italics"/>
              kag.
                <emph.end type="italics"/>
              ſunt auté per conſtructio­
                <lb/>
              nem ſimilia triangula
                <emph type="italics"/>
              gha. afi;
                <emph.end type="italics"/>
              & angulus
                <emph type="italics"/>
              gah
                <emph.end type="italics"/>
              æqualis angu­
                <lb/>
              lo
                <emph type="italics"/>
              fai;
                <emph.end type="italics"/>
              igitur angulus reliquus
                <emph type="italics"/>
              eap
                <emph.end type="italics"/>
              eſt æqualis angulo reliquo
                <lb/>
                <emph type="italics"/>
              iak
                <emph.end type="italics"/>
              angulus nimirum incidentiæ angulo reflexionis: </s>
            </p>
            <figure id="id.063.01.068.1.jpg" xlink:href="063/01/068/1.jpg" number="28"/>
          </chap>
        </body>
      </text>
    </archimedes>
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