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

List of thumbnails

< >
21
21 		22
22
23
23 		24
24
25
25 		26
26
27
27 		28
28
29
29 		30
30
< >
page |< < of 145 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="063/01/022.jpg"/>
              quia rationem habet hypomochlij; ſecabitur impulſus eâ rati­
                <lb/>
              one, quâ grauitas verticalis ſecatur à plano inclinato, in par­
                <lb/>
              tem motam & quieſcentem: ac proinde per propoſitionem
                <lb/>
              11. motus interciſus à plano, erit| æqualis duratione reliquo
                <lb/>
              motui: qvorum terminos connectit linea recta, perpendicu­
                <lb/>
              laris ad motum interciſum. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              LEMMA.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
                <emph type="italics"/>
              Si in ſegmento Circuli ducantur duæ chordæ, angulus
                <lb/>
              ab his contentus, erit complementum dimidij anguli eiuſ­
                <lb/>
              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
                <lb/>
              lum BCF ab his contentum eſſe complementum dimidij an­
                <lb/>
              guli BOF ad duos rectos. </s>
              <s>Nam duo anguli OFC. OCF ſunt
                <lb/>
              complementum anguli FOC: duo verò anguli OCB, OBC
                <lb/>
              complementum anguli COB. </s>
              <s>Cùm igitur FCB ſit ſemiſſis
                <lb/>
              illorum angulorum; erit complementum dimidij anguli FOB. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Corollarium.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>Sequitur angulum externum FCT eſſe æqualem ſemiſſi an­
                <lb/>
              guli FOB: propterea quòd
                <expan abbr="utriuſq;">utriuſque</expan>
              complementum ad duos
                <lb/>
              rectos ſit angulus FCB. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              THEOREMA II.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
                <emph type="italics"/>
              Lapſus grauium in quædrante Circuli, per duas chordas
                <lb/>
              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>
Impressum