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

Page concordance

< >
Scan Original
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
< >
page |< < of 145 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="063/01/036.jpg"/>
              paralleli HF. DE. </s>
              <s>Dico grauitatem mouentem in H. D eſſe
                <lb/>
              minorem, quàm ſi extra lllud totum mouerentur. </s>
              <s>Cùm enim
                <lb/>
              motus H ſit linea HA, & motus D linea DA per 3. Axioma;
                <lb/>
              erunt HF. DE motus inclinati: </s>
            </p>
            <figure id="id.063.01.036.1.jpg" xlink:href="063/01/036/1.jpg" number="11"/>
            <p type="main">
              <s>Et anguli in clinationum AHF. ADE. </s>
              <s>Igitur pars grauitatis
                <lb/>
              H & D in hypomochlio quieſcit:
                <expan abbr="minorq;">minorque</expan>
              proinde eſt grauitas
                <lb/>
              mouens, quàm ſi extra illud totum mouerentur. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
                <emph type="italics"/>
              COROLLARIVM I.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>Sequitur grauitatem mouentem partium à centro magis re­
                <lb/>
              motarum eſſe minorem: propterea quòd motus ſint magis in­
                <lb/>
              clinati. </s>
              <s>Nam angulus AIF externus, hoc eſt illi æqualis A
                <lb/>
              DE eſt maior angulo interno AHF. & angulus AKG, hoc eſt
                <lb/>
              ADE maior angulo ACK. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
                <emph type="italics"/>
              COROLLARIVM II.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>Vnde neceſse partes propiores centro, remotiorum; cen­
                <lb/>
              trum verò omnium eſſe hypomochlium huius grauitatis quie­
                <lb/>
              ſcentis. </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"/>
              Centrum grauitatis habet impulſum omnium partium grauitati
                <lb/>
              æqualem.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>Cùm enim moveatur ad motum partium mobilis, habebit
                <lb/>
              impulſum illarum grauitati moventi æqualem. </s>
              <s>Eſt verò
                <lb/>
              idem centrum hypomochlium grauitatis quieſcentis in motu
                <lb/>
              partium eidem parallelo, per Corollarium 2. quæ cùm augeat
                <lb/>
              illius grauitatem, habebit
                <expan abbr="quoq;">quoque</expan>
              per poſit. 4. impulſum illi æ­
                <lb/>
              qualem. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>