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="063/01/044.jpg"/>
              & FK ad GL. ſunt verò & triangula AMF, ANG,
                <expan abbr="atq;">atque</expan>
              trian­
                <lb/>
              gula AMK. ANL ſimilia. </s>
              <s>Igitur ut AM ad AN, ita MF ad
                <lb/>
              NG, & MK ad NL: ac proinde reſidua KF ad
                <expan abbr="reſiduã">reſiduam</expan>
              LG.
                <lb/>
                <expan abbr="cùmq;">cùmque</expan>
              ſit ut FK ad GL, ita FH ad GI: & ut eadem FK ad GL,
                <lb/>
              ita FM ad GN; erit
                <expan abbr="quoq;">quoque</expan>
              FH ad GI, ut FM ad GN. </s>
              <s>
                <expan abbr="Quiàitaq;">Quiàitaque</expan>
                <lb/>
              grauitas mouens ſeu impulſus ad totum impulſum rationem
                <lb/>
              habet,
                <expan abbr="quã">quam</expan>
              GI ad GN, & FH ad FM, hoc eſt
                <expan abbr="ſegmentũ">ſegmentum</expan>
              ſemidiame­
                <lb/>
              tri inter centrum figuræ & hypomochlium, ad ſemidiametrum
                <lb/>
              figuræ motûs per theo. 3. erit in
                <expan abbr="utroq;">utroque</expan>
              triangulo eadem pro­
                <lb/>
              portio motûs inclinati ad motum verticalem. </s>
              <s>
                <expan abbr="Cùmq;">Cùmque</expan>
              mo­
                <lb/>
              tus verticales inter ſe ſint æquales; per Axioma 4. erunt
                <expan abbr="quoq;">quoque</expan>
                <lb/>
              motus inclinati inter ſe æquales. </s>
              <s>Et quia FM eſt maior quàm
                <lb/>
              GN, erit FH grauitas movens in triangulo ABC maior, quàm
                <lb/>
              GI grauitas movens in triangulo ADE. </s>
            </p>
            <figure id="id.063.01.044.1.jpg" xlink:href="063/01/044/1.jpg" number="16"/>
            <p type="main">
              <s>
                <emph type="center"/>
              THEOREMA XIII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
                <emph type="italics"/>
              Grauitas quieſcens inæqualium & ſimilium figurarum eſt inæqualis,
                <lb/>
              & inæqualiter grauitat.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>