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="063/01/053.jpg"/>
              ex centro E ducatur ſemidiameter figuræ motûs EF:
                <expan abbr="ſitq;">ſitque</expan>
              in­
                <lb/>
              veniendum planum, in quo circulus P æquali celeritate feratur. </s>
              <lb/>
              <s>In lineâ verticali HI centro O deſcribatur circulus HMN: cu­
                <lb/>
              ius diameter HN ſit æqualis ſemidiametro figuræ motûs EF:
                <lb/>
              & ex puncto H ducatur chorda HM æqualis EG ſegmento in­
                <lb/>
              ter centrum figuræ & hypomochlium. </s>
              <s>Dico inuentum eſſe
                <lb/>
                <arrow.to.target n="fig14"/>
                <lb/>
              planum HML, in quo idem ſit circuli, qui trianguli in plano
                <lb/>
              HK motus. </s>
              <s>Nam ut EF ad EG, ita totus impulſus, ſeu verti­
                <lb/>
              caliter mouens ad impulſum in HK per 8. theor: & per po­
                <lb/>
              ſitionem 4-motus trianguli in HI ad motum eiuſdem in HK. </s>
              <lb/>
              <s>Et ut HN ad HM, ita motus circuli in HI ad motum eiuſdem in
                <lb/>
              HL per prop, 13 de pro por: motûs. </s>
              <s>At verò eandem ratio­
                <lb/>
              nem habet HN ad HM, quam EF ad EG per conſtructionem. </s>
              <lb/>
              <s>Igitur motus circuli in HL eſt æqualis motui trianguli in HK.
                <lb/>
              motum ergo trianguli iſogoni ijſdem loci interuallis terminaui­
                <lb/>
              mus, quod erat faciendam. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum