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

Page concordance

< >
Scan Original
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
< >
page |< < of 145 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="063/01/050.jpg"/>
              ſi ducantut
                <expan abbr="Bq.">Bque</expan>
              DI perpendiculares ad DM. CG: erit maior
                <lb/>
              BQ quàm DI, hoc eſt KL quàm FR. </s>
              <s>Rurſum quia angulus
                <lb/>
              ECD eſt maior angulo ECA, hoc eſt illi æquali EDB: pro­
                <lb/>
              pterea quòd latus AC ſeu BD ſit maius latere BA. ablatis æ­
                <lb/>
              qualibus angulis GCD. MDB, erit angulus reliquus ECG
                <lb/>
              maior angulo reliquo EDM. </s>
              <s>
                <expan abbr="Aſſumaturitaq;">Aſſumaturitaque</expan>
              angulo EDM
                <lb/>
              æqualis angulus ECS: & ex Ead CS cadat perpendicularis ES:
                <lb/>
                <expan abbr="eruntq;">eruntque</expan>
              triangula ECS. EDL ſimilia & æqualia. </s>
              <s>Propterea
                <lb/>
                <arrow.to.target n="fig12"/>
                <lb/>
              quòd baſis EC ſit æqualis baſi ED. </s>
              <s>Eſt autem ET maior
                <lb/>
              quàm ES, hoc eſt quàm EL: et ER maior quàm ET. </s>
              <s>Igitur ea­
                <lb/>
              dem ER maior quàm EL. </s>
              <s>Cùm
                <expan abbr="itaq;">itaque</expan>
              maior ſitratio grauitatis
                <lb/>
              mouentis ER ad quieſcentem RF, nimirum maioris ad mino­
                <lb/>
              rem, quàm EL ad LK minoris ad maiorem; erit per poſit: 4.
                <lb/>
              velocior motus in ER quàm in EL. </s>
              <s>Et quia tum minor gra­
                <lb/>
              uitas in hypomochlio quieſcit, minùs
                <expan abbr="quoq;">quoque</expan>
              ſubiectum pla­
                <lb/>
              num grauitabit. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>