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

Table of figures

< >
< >
page |< < of 145 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="063/01/045.jpg"/>
            <p type="main">
              <s>In eadem figurâ, quoniam eſt ut FM ad GN, ita FH ad GI
                <lb/>
              per theor. 12. erit
                <expan abbr="quoq;">quoque</expan>
              HM ad IN, ut FH ad GI. </s>
              <s>Sed FH
                <lb/>
              eſt maior quàm GI per idem theorema: igitur & HM maior
                <lb/>
              quam IN. </s>
              <s>Et quia HM
                <expan abbr="atq;">atque</expan>
              IN eſt impulſus quieſcens per
                <lb/>
              theor. 9. maior granitas quieſcet in triangulo maiori, ac proin­
                <lb/>
              de ſuum planum magis gravitabit. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
                <emph type="italics"/>
              LEMMA I
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
                <emph type="italics"/>
              Inclinationem plani invenire: in quo ſemidiameter figuræ motûs
                <lb/>
              ſecetur ab hypomochlio in datâ ratione.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>Producatur latus AC in I; & ſit AI ad CI in datâ ratione:
                <lb/>
              ex I verò per centrum figuræ D agatur linearecta IF:
                <expan abbr="atq;">atque</expan>
              huic
                <lb/>
              ex angulis C & A parallelæ CE. AH: quas ſecet ad angulos re­
                <lb/>
              ctos, linea ex centro ducta DH. </s>
              <s>Dico lineam DH, hoc eſt ſemi­
                <lb/>
              diametrum figuræ motûs, ſectam eſſe in datâ ratione. </s>
              <s>Ex
                <lb/>
              F enim protrahatur linea FK parallela DH;
                <expan abbr="eritq;">eritque</expan>
              FK ad FL,
                <lb/>
              hoc eſt DH ad DG, ut AF ad EF. </s>
              <s>Sed ut AF ad EF ita AI ad
                <lb/>
              CI, hoc eſt in datâ ratione. </s>
            </p>
            <figure id="id.063.01.045.1.jpg" xlink:href="063/01/045/1.jpg" number="17"/>
          </chap>
        </body>
      </text>
    </archimedes>