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

Table of figures

< >
[Figure 21]
Page: 51
[Figure 22]
Page: 52
[Figure 23]
Page: 54
[Figure 24]
Page: 56
[Figure 25]
Page: 57
[Figure 26]
Page: 63
[Figure 27]
Page: 66
[Figure 28]
Page: 68
[Figure 29]
Page: 73
[Figure 30]
Page: 76
[Figure 31]
Page: 79
[Figure 32]
Page: 83
[Figure 33]
Page: 92
[Figure 34]
Page: 119
[Figure 35]
Page: 122
[Figure 36]
Page: 129
[Figure 37]
Page: 132
[Figure 38]
Page: 144
[Figure 39]
Page: 144
< >
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